What is the total area, in square inches, of the shaded sections of the trapezoid below. ?

What Is The Total Area, In Square Inches, Of The Shaded Sections Of The Trapezoid Below. ?

Answers

Answer 1

Total area of shaded region in trapezoid is 54.4in²

Define trapezoid

A trapezoid is a four-sided, quadrilateral shape with two parallel sides, which are called the bases, and two non-parallel sides, which are called the legs.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of the bases) × (height)

The Shaded region in trapezoid form right angled triangle.

Area of 1st shaded region=area of right triangle

=1/2×b×h

=1/2×6.8×7.4

=25.16in²

Area of 2nd shaded region=area of right triangle

=1/2×b×h

=1/2×6.8×8.6

=29.24in²

Hence, total area of shaded region in trapezoid is 54.4in²

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Related Questions

The graph shows the supply and demand curves for a Cajun spice mix that Leroy manufactures in a home business. What will happen if Leroy sets the price at $3.99?






Group of answer choices

The demand will exceed the supply.

The market will be in equilibrium.

Five hundred spice mixes will be demanded.

The supply will exceed the demand.

Answers

If the demand curve indeed shows that 500 units are demanded at the $3.99 price point, then that is the quantity of Cajun spice mix buyers are willing to purchase at that price.

Hi! Based on the information provided and the terms mentioned, I'll try to address your question:

When analyzing a graph with supply and demand curves for a product like Leroy's Cajun spice mix, the interaction between these curves can help determine the market outcome at a specific price point. If Leroy sets the price at $3.99, we can look at how supply and demand react at that price level.

If the demand curve is above the supply curve at the $3.99 price point, this means that the quantity demanded is higher than the quantity supplied. In this case, the demand will exceed the supply, leading to a shortage of Cajun spice mix in the market. Buyers may be willing to purchase more than what Leroy can supply at this price.

On the other hand, if the supply curve is above the demand curve at the $3.99 price point, this indicates that the quantity supplied is greater than the quantity demanded. In this scenario, the supply will exceed the demand, resulting in a surplus of Cajun spice mix.

Leroy might have to lower the price to encourage more buyers to purchase his product and clear the excess inventory.

Regarding the term "Five hundred spice mixes will be demanded," this specific number can't be confirmed without more details about the graph. However,

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Help ASAP

Which of these cylinders has the same volume as one with a radius of 4 ft and a height of 9 ft?

Select one:


a cylinder with a radius of 9 ft and a height of 16 ft


a cylinder with a radius of 3 ft and a height of 4 ft


a cylinder with a radius of 3 ft and a height of 16 ft


a cylinder with a radius of 9 ft and a height of 4 ft

Answers

A cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

Explain about the cylinders:

We can determine how much interior room a cylinder has by measuring its volume. The volume would be the same as how much material would fill the full can if you had one.

Volume of cylinder = π*r²*h

r is the radius and h is the height.

For given cylinder:

r = 4 ft and h = 9 ft

Volume of given cylinder = π*4²*9

Volume of given cylinder = 144π cu. ft.

Now, from the options:

As, its is clear from  formula of cylinder that there is a square of radius.

Thus,

take radius r = 3 ft  such that r² = 9 ft and height h = 4 ft.

These are the same dimensions as the given cylinder.

Thus, a cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

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A chocolate bar takes up an area of 30 cm2. What are the dimensions of the bar, if the length and width have a sum of 13?

Answers

The length is 10 cm
the width is 3 cm

Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 75 times in 5 minutes. What is her blinking rate, in blinks per minute?

Answers

Answer:

18 blinks per min since 126 divided by 7 equals 18.

Stuart created a piece of decorative wall art that has the dimensions shown. Fine the area of the wall art

Answers

The calculated area of the wall art is 474 square inches


Calculating the area of the wall art

from the question, we have the following parameters that can be used in our computation:

The composite figure

The area of the figure is the sum of the individual areas

So, we have

Area = 21 * 9 + 9 * 19 + 6 * 19

So, we have

Area = 474

Hence, the area is 474 square inches


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Help me with this question?

Answers

The system of equations that represent the question are:

6a + 8p = 6.54

7a + 5p = 5.68

(option D)

What are the system of equations that represent the question?

A linear equation is an equation that has a single variable that is raised to the power of one. The general form of a linear equation is y = mx + c

Where:

m = slope c = intercept

The form of the equations in this question are:

(number of apples bought x price of one apple) + (price of one pear x number of pears bought) = total cost of the apples and pears

6a + 8p = 6.54

7a + 5p = 5.68

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The system of equations that represent the question are: 6a + 8p = 6.54 and 7a + 5p = 5.68. Option D

The system of equations that represent the question

A linear equation is an equation with one variable raised to the power of one. It can be written in the form y = mx + c, where m represents the slope and c represents the y-intercept.

The given equations are in the form of:

6a + 8p = 6.54

7a + 5p = 5.68

These equations represent the total cost of buying apples and pears based on their respective prices per unit. 'a' represents the number of apples bought, 'p' represents the number of pears bought.

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show that the numbers 0 to 7 can be written using 3 binary digits (bits). how many bits are required to write the numbers 0 to 6? 0 to 20?

Answers

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

How many bits are required to write the numbers 0 to 6? 0 to 20?

The question "show that the numbers 0 to 7 can be written using 3 binary digits (bits).Binary numbers are constructed by concatenating bits (binary digits).

Each bit can take on one of two values: 0 or 1. Binary notation is frequently utilized in computer engineering to represent data, instructions, and addresses. Three bits can represent 2³ = 8 unique numbers since each bit has two options (0 or 1).

Thus, the numbers 0 to 7 can be represented using 3 bits since 2³ = 8. We can also figure out how many bits are required to represent the numbers 0 to 6 or 0 to 20.

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

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select all of the equations that are equivalent to 3x+5=20-x

Answers

Based on the above, the equivalent equations are 4x = 15 and 4x - 15 = 0.Hence options A and C are correct.

What is the equations about?

To determine which equations are equivalent to 3x + 5 = 20 - x, we need to simplify and manipulate the original equation until it has the same form as the other equations. Here's how we can do it:

3x + 5 = 20 - x

Add x to both sides:

4x + 5 = 20

Subtract 5 from both sides:

4x = 15

So the equation 4x = 15 is equivalent to 3x + 5 = 20 - x.

Therefore, the other equations are not equivalent:

4x = 15 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding x to both sides again to obtain 4x = 15.4x - 15 = 0 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding 15 to both sides to obtain 4x = 15, then subtracting 15 from both sides to obtain 4x - 15 = 0.2x = 25 can be simplified to x = 12.5, which is not the same as the solution to 3x + 5 = 20 - x.-4x + 20 = -5 can be simplified to 4x = 25, which is not the same as the solution to 3x + 5 = 20 - x.x - 20 = 5 + 3x can be simplified to x = 25, which is not the same as the solution to 3x + 5 = 20 - x.

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Select all of the equations that are equivalent to 3x + 5 = 20 - x.

4x = 15

2x = 25

4x  - 15 = 0

-4x+20 = -5

x - 20 = 5 + 3x

what is the range of standard irq numbers? question 2 options: a) 0-7 b) 0-15 c) 0-32 d) 8-15

Answers

The range of standard IQR (Interquartile Range) numbers is option b) 0-15. The correct option is B).

The interquartile range (IQR) is a measure of variability used in statistical analysis. The IQR is often used as a measure of spread because it is less sensitive to outliers than the range. Standard IQR numbers are values that have been standardized to fit within a specific range of 0-15.

Standardizing the IQR allows for easier comparison of data across different datasets, as it ensures that the IQR values fall within a consistent range. The range of standard IQR numbers is often used in educational assessments and other standardized tests to report the variability of student performance or other metrics. So, the correct answer is option B).

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A bike wheel has a radius of 13 inches. About how far does thhe bike wheel travel in 5 rotations? Explain.

Answers

Step-by-step explanation & Answer

C = 2pir = 2pi(13) = 26pi = 81.68"

Which we can easily find.

But that is for 1 rotation in the question it says 5!

So multiply it by 5

81.68 x 5 = 408.4

Thus the answer to your problem is, 408.4

Answer:408.4

Step-by-step explanation:

The perimeter of a rectangle is 72, and the width is 4 less
than 3 times the length. What is the length?
O 12
O 10
O 16
O 14

Answers

Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

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10x5+4to the power of 2+(5+30 divided by 10 how to solve

Answers

The value of the expression is 74.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this expression, we need to follow the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is: Parentheses

Exponents and Multiplication and Division (performed left to right)

Addition and Subtraction (performed left to right)

Using this order, we can evaluate the expression as follows:

10 × 5 + 16+ (5 + 30 ÷ 10)

= 50 + 16 + (5 + 3)

= 50 + 16 + 8

= 74

Therefore, the value of the expression is 74.

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The thermostat in an office is set to turn the heat on any time the temperature drops below 15C. What are all the temperatures at which the heat is on.

Answers

The heat in the office is on whenever the temperature drops below 15C. Therefore, all temperatures less than 15C will turn the heat on.

The set of all temperatures that will turn the heat on can be represented mathematically using inequalities.

Let T be the temperature in Celsius.

The inequality T < 15 represents all temperatures that are less than 15C. Therefore, the set of all temperatures that will turn the heat on is given by:

{ T | T < 15 }

This set can be read as "the set of all T such that T is less than 15." This means that any temperature below 15C will turn the heat on.

For example, if the temperature is 14C, then the heat will be on because 14C is less than 15C. If the temperature is 10C, then the heat will also be on because 10C is less than 15C. However, if the temperature is 15C or higher, then the heat will not be on because 15C is not less than 15C.

In summary, the heat in the office will be on whenever the temperature drops below 15C. The set of all temperatures that will turn the heat on is { T | T < 15 }, which represents all temperatures less than 15C.

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Use the fact that√7 is a solution to the equation x*2=7 to find a decimal approximately of√7 whose square is between 6.9 and 7.1

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Given that √7 is a solution to the equation x² = 7, we can use this equation to find a decimal approximation of √7 that satisfies the given condition.

First, we can estimate that √7 is between 2.5 and 3, since 2² = 4 < 7 and 3² = 9 > 7.

Next, we can try using a decimal approximation of √7, such as 2.6 or 2.7, and square it to see if the result is between 6.9 and 7.1.

If we try 2.6, we get:

(2.6)² = 6.76

Since this is less than 6.9, we can try a larger value, such as 2.7:

(2.7)² = 7.29

Since this is greater than 7.1, we can try a value between 2.6 and 2.7, such as 2.65:

(2.65)² = 7.0225

This result is between 6.9 and 7.1, so a decimal approximation of √7 that satisfies the given condition is approximately 2.65.

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which is indicative of an inverse relationship between x and y? multiple choice a negative p-value for the correlation coefficient a negative f statistic either a negative f statistic or a negative p-value a negative correlation coefficient group ends

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The indicative of an inverse relationship between x and y is a negative correlation coefficient. When the correlation coefficient between two variables is negative, it means that as one variable (x) increases, the other variable (y) decreases. This is also known as an inverse relationship or a negative association.

A negative p-value for the correlation coefficient or a negative f statistic does not necessarily indicate an inverse relationship between x and y. A negative p-value for the correlation coefficient simply means that the observed correlation is unlikely to be due to chance, while a negative f statistic indicates that the model is not a good fit for the data.

If the correlation coefficient is negative, then it provides clear evidence of an inverse relationship between x and y.

A negative correlation coefficient is the best indicator of an inverse relationship between x and y, and it is important to interpret statistical measures carefully to determine the nature of the relationship between variables.

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A soccer coach bought eight soccer balls. This line plot shows the weight of each ball the coach bought?

Answers

180 represents the price of the goal, 15x represents the total price of the soccer balls

The expression consists of ONE CONSTANT 180 and another VARIABLE EXPRESSION 15x.

Since the coach purchased ONE GOAL, this corresponds to the CONSTANT, which is 180. 180 is the price of the goal.

Since the coach purchased several soccer balls, but doesn't say how many, it is the variable part, 15x, where

either 15 is the price of the ball and x is the number of balls, OR

15 is the number of balls and x is the price of each

180 represents the price of the goal

15x represents the total price of the soccer balls

The complete question is -

A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description.

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a sample is obtained from a population by grouping people according to age and then randomly selecting 5 people from each group. what type of sampling technique is this?

Answers

The type of sampling technique described is stratified random sampling.

In stratified random sampling, the population is first divided into homogeneous subgroups or strata based on some criteria, such as age, gender, income, or education level. In this case, the population was grouped according to age. Then, a random sample is selected from each stratum.

By doing so, the sample represents the entire population better than simple random sampling, as each subgroup is represented proportionally to its size in the population. This technique ensures that there is less variation within each subgroup, which can result in more precise estimates of the population parameters.

In summary, stratified random sampling is a type of probability sampling technique where the population is divided into subgroups, and a random sample is selected from each subgroup.

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How do I divide -5 by 1,000? and is not 200

Answers

Answer:To divide -5 by 1,000, we can use a calculator or perform long division.

Using a calculator, we get -0.005 as the result.

To perform long division, we can follow these steps:

1. Write -5 as the dividend and 1,000 as the divisor.

2. Place the divisor outside the long division bracket and the dividend inside the bracket.

3. Divide the first digit of the dividend by the divisor. In this case, 1,000 does not go into -5, so we write 0 as the first digit of the quotient.

4. Bring down the next digit of the dividend (which is 0) and place it next to the 0 in the quotient.

5. Divide 1,000 into 0, which gives 0 as the next digit of the quotient.

6. Continue bringing down digits from the dividend and dividing until you have enough decimal places in the quotient. In this case, we can stop after two decimal places because we know the answer is not 200.

7. The final result is -0.005.

Therefore, -5 divided by 1,000 is equal to -0.005.

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Darci works part-time at a bakery earning $12.10 an hour. In the last five days, her time card shows that she worked 4.7, 7.3, 6.4, 5.8, and 5.1 hours. What is her gross pay for the five days?

A)$451,00
B)$531.80
C)$354.53
D)$56.87

Answers

Answer:

Option C.

Step-by-step explanation:

Gross pay = (total hours works) * pay rate

                 = (4.7 + 7.3 + 6.4 + 5.8 + 5.4) * 12.1

                 = 29.6 * 12.1

                 = $358.16

This number is closest to 354.53, so C is the correct answer.

C multiply 12.10 by each number and then add the results back together for the result the gross pay

multiple regression is a technique which? allows researchers to predict a criterion variable through a single predictor. indicates the strength of a correlation between variables. indicates the percentage of different quotas in a population. allows researchers to explain a criterion variable through an accurate combination of two or more predictor variables

Answers

Multiple regression is a technique which allows researchers to explain a criterion variable through an accurate

combination of two or more predictor variables.

Regression is a statistical measure used in finance, investing and other disciplines that attempts to determine the

strength of the relationship between one dependent variable (usually denoted by Y) and a series of other changing

variables (known as independent variables).

Multiple regression is a statistical method used to analyze the relationship between a dependent variable and multiple

independent variables.

It is often used to estimate the effect of a single independent variable on a dependent variable while controlling for

other independent variables.

Multiple regression is a technique that allows researchers to explain a criterion variable through an accurate

combination of two or more predictor variables.

In summary, multiple regression is a technique that allows researchers to explain a criterion variable through an

accurate combination of two or more predictor variables.

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the weights of steers in a herd are distributed normally. the variance is 40,000 and the mean steer weight is 1100lbs . find the probability that the weight of a randomly selected steer is between 1000 and 1520lbs . round your answer to four decimal places.

Answers

The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

How the probability  is between 1000 and 1520lbs is approximately 0.9192, or 91.92%?We are given the variance of the population as 40,000. The standard deviation is the square root of the variance, so we can calculate it as follows:

Standard deviation = sqrt(variance) = sqrt(40,000) = 200

We want to find the probability that a randomly selected steer has a weight between 1000 and 1520lbs. We need to standardize these values using the formula:

z = (x - μ) / σ

where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.

For x = 1000:

z1 = (1000 - 1100) / 200 = -0.5

For x = 1520:

z2 = (1520 - 1100) / 200 = 2.1

Now that we have the standardized values, we can use a standard normal distribution table or a calculator to find the area under the normal curve between z1 and z2.

Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:

P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192

Rounding to four decimal places, we get:

P(1000 < x < 1520) ≈ 0.9192

Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

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Travis wants to buy a new bed that cost 45 for this dog Rusty Travis also wants to buy several packages of dog treats for six each but he doesn’t want to pay more than 15 shipping fee.

Answers

Answer:

Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

Step-by-step explanation:

Let x be the number of packages of dog treats Travis wants to buy.

The cost of the dog bed is $45.

The cost of the dog treats is $6 per package.

The shipping fee is $15 for orders less than $90.

To find out how many packages of dog treats Travis can buy without exceeding the $15 shipping fee, we can set up an inequality:

6x + 45 + 15 ≤ 90

Simplifying and solving for x, we get:

6x ≤ 30

x ≤ 5

Therefore, Travis can buy up to 5 packages of dog treats without exceeding the $15 shipping fee. If he buys 5 packages of dog treats, the total cost of his order will be:

Total cost = Cost of dog bed + Cost of 5 packages of dog treats + Shipping fee

Total cost = $45 + ($6 * 5) + $15

Total cost = $75

So, Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

help asap assignment closes soon!

Answers

The volume formula for a square based pyramid:

V = 1/3 b^2 • h

Plug in your values:

V = 1/3 (4)^2 • 9

Evaluate:

V = 1/3 (16) (9)

V = 48 ft^3

Hope this helps!

Answer:

48 ft^3

Step-by-step explanation:

Volume = (length x width x height)/3

V = (b times b times h)/3

V = (4 x 4 x 9)/3

V = 144/3

V = 48

(units: cubic feet --> 48 ft^3)

y=3.5x+5 and y=4x+2 when will they be the same

Answers

they will be the same when x=6
To find when the two equations are the same, we need to find the value of x that makes y the same in both equations. We can set the right-hand sides of the equations equal to each other and solve for x:

3.5x + 5 = 4x + 2

Subtracting 3.5x and 2 from both sides, we get:

5 - 2 = 4x - 3.5x

Simplifying, we have:

0.5x = 3

Dividing both sides by 0.5, we get:

x = 6

Therefore, the two equations will be the same when x is equal to 6. To find the corresponding value of y, we can substitute x=6 into either equation. Using the first equation, we get:

y = 3.5(6) + 5 = 27

Using the second equation, we get:

y = 4(6) + 2 = 26

So when x=6, the two equations have the same value of y, which is 27. Therefore, the two equations intersect at the point (6, 27).

YALL PLSS PLS PLS I NEED HELP

Answers

Answer:

8218.406
Go through the process yourself to make sure my answer is correct

Step-by-step explanation:

The best way to solve these problems is by breaking them up into the difference shapes you see

A. Semi-sphere

The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Since we have a semi-sphere, we divide this by 2 and get:

[tex]V=\frac{4}{6} \pi r^3\\\\V= \frac{4}{6} \pi (12)^3\\\\V=3619.115[/tex]

B. Cone

The volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V = \pi (12)^2\frac{30.5}{3}\\V = 4599.292[/tex]

C. Add

Add these two values:

3619.115 + 4599.292 = 8218.406

how to substitute for a equation

Answers

Answer:

Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variable

Briana found a $45 sweater that is on sale for 30% off the regular price. The sales tax rate is 6%. What is the total price Briana will pay for the sweater?

Answers

The total price Briana will pay for the sweater after discount is $34.2.

What is discount?

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Here the Sale price of sweater on sale = $45

Discount = 30%

Sale tax rate = 6%

If cost is 100% , after 30% discount and 6% sale tax rate then ,

cost price = 100%- 30%+6% = 70%+6%=76%

Now cost price = 76% of 45

=> 76%×45

=> 76/100 ×45

=>$34.2

Hence the  total price Briana will pay for the sweater is $34.2.

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Evaluate each determinant

Answers

The determinant of the given matrix is -51.

What is determinant?

A square matrix's related scalar value is known as a determinant. It is calculated based on the matrix's components using a specified formula. The determinant has several uses in linear algebra, including the resolution of systems of linear equations, the discovery of eigenvalues and eigenvectors, and the assessment of invertibility. If and only if a matrix's determinant is nonzero, the matrix is invertible. The determinant is also employed in other branches of mathematics, such as differential geometry and the determination of the volume of parallelepipeds.

The determinant of the matrix is calculated using the formula:

D = a(ei - fh) - b(di - fg) + c(dh - eg)

Substituting the values we have:

3(-20 - 5(-1)) - (-1)(20 - 54) + 4(2*(-1) - (-2)*(-1)) = -51

Hence, the determinant of the given matrix is -51.

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Write each of the following expressions without using absolute value
|6m-4| if m<9

Answers

Answer:

If m < 9, then 6m - 4 is negative. Therefore, |6m - 4| is equal to -(6m - 4) or -6m + 4. Thus, the expression without absolute value is -6m + 4.

45degree , 30degree , 105degree are what triangle?

Answers

The angles 45 degrees, 30 degrees, and 105 degrees do not form a valid triangle.

In a triangle, the sum of the angles must be 180 degrees. However, in this case, the sum of the three angles is:

45 + 30 + 105 = 180

This tells us that these three angles can be arranged in a straight line, but they cannot form a triangle.

In a valid triangle, the sum of the two smaller angles must be greater than the measure of the largest angle. However, in this case, the sum of the two smaller angles (30 degrees and 45 degrees) is only 75 degrees, which is less than the measure of the largest angle (105 degrees).

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13. Which of the following can be used to write or edit a letter electronically? a) Printer b) Keyboard c) Word Processor d) Spreadsheet A Typical 100 Question Citizenship Test1. What are the colors of our flag?2. How many stars are there in our flag?3. What color are the stars on our flag?4. What do the stars on the flag mean?5. How many stripes are there in the flag?6. What color are the stripes?7. What do the stripes on the flag mean?8. How many states are there in the Union?9. What is the 4th of July?10. What is the date of Independence Day?11. Independence from whom?12. What country did we fight during the RevolutionaryWar?13. Who was the first President of the United States?14. Who is the President of the United States today?15. Who is the Vice-President of the United Statestoday?16. Who elects the President of the United States?17. Who becomes the President of the United States ifthe President should die?18. For how long do we elect the President?19. What is the Constitution?20. Can the Constitution be changed?21. What do we call a change to the Constitution?22. How many changes or amendments are there to theConstitution?23. How many branches are there in our government?24. What are the three branches of our government?25. What is the legislative branch of our government?26. Who makes the laws in the United States?27. What is Congress?28. What are the duties of Congress?29. Who elects Congress?30. How many senators are there in Congress?31. Can you name the two senators from your state?32. For how long do we elect each senator?33. How many representatives are there in Congress?34. For how long do we elect the representatives?35. What is the executive branch of our government?36. What is the judiciary branch of our government?37. What are the duties of the Supreme Court?38. What is the supreme law of the United States?39. What is the Bill of Rights?40. What is the capital of your state?41. Who is the current governor of your state?42. Who becomes President of the United States if thePresident and the Vice-President should die?43. Who is the Chief Justice of the Supreme Court?44. Can you name the 13 original states?45. Who said, "Give me liberty or give me death."?46. Which countries were our enemies during World WarII?47. What are the 49th and 50th states of the Union?48. How many terms can a President serve?49. Who was Martin Luther King, Jr.?50. Who presides over your local government?51. According to the Constitution, a person must meetcertain requirements in order to be eligible to becomePresident. Name one of these requirements.52. Why are there 100 Senators in the Senate?53. Who selects the Supreme Court justices?54. How many Supreme Court justices are there?55. Why did the Pilgrims come to America?56. What is the head executive of a state governmentcalled?57. What is the head executive of a city governmentcalled?58. What holiday was celebrated for the first time byAmerican colonists?59. Who was the main writer of the Declaration ofIndependence?60. When was the Declaration of Independenceadopted?61. What is the basic belief of the Declaration ofIndependence?62. What is the national anthem of the United States?63. Who wrote the Star-Spangled Banner?64. Where does freedom of speech come from?65. What is the minimum voting age in the UnitedStates?66. Who signs bills into law?67. What is the highest court in the United States?68. Who was President during the Civil War?69. What did the Emancipation Proclamation do?70. What special group advises the President?71. Which President is called the "Father of our country?"72. What Immigration and Naturalization Service form isused to apply to become a naturalized citizen?73. Who helped the Pilgrims in America?74. What is the name of the ship that brought thePilgrims to America?75. What were the 13 original states of the U.S. called?76. Name 3 rights or freedoms guaranteed by the Bill ofRights.77. Who has the power to declare war?78. What kind of government does the United Stateshave?79. Which President freed the slaves?80. In what year was the Constitution written?81. What are the first 10 amendments to the Constitutioncalled?82. What is the supreme law of the land?83. Where does Congress meet?84. Whose rights are guaranteed by the Constitution andthe Bill of Rights?85. What is the introduction to the Constitution called?86. Name one benefit to being a citizen of the UnitedStates?87. What is the most important right granted to U.S.citizens?88. What is the United States Capitol?89. What is the White House?90. Where is the White House located?91. What is the name of the President's official home? The company adopted the straight-line depreciation method. Record the 15% depreciation on the plant and equipment purchased On 1 December 2020 for R125 000. Which statements are true for the following expression? (8 + 7)(11+7) Check all that are true. The solution is the sum of two terms. The solution is the difference between two terms. The first factor is itself the sum of two terms. 4 The solution is the product of two factors. The second factor is itself the sum of two terms. write a paragraph of 90 to 100 words using at least 7 of its worlds :relivedexhausted nervousterrifieddeterminedfreezing deafeningrelaxedbreathtakingthrillingfantasticfrightenedexciteds'il boys plait j'ai sa pour demain 100 points!!!Express the function graphed on the axes below as a piecewise function. what is the primary difference between metaphors and similes? multiple choice question. metaphors make implicit comparisons, whereas similes make explicit comparisons. metaphors make statements, whereas similes ask questions. metaphors use concrete language, whereas similes use abstract language. metaphors compare, whereas similes describe. ) the average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. a lot contains 200 of these vehicles, brand new. (a) how many of the 200 would you expect to fail in their first 2 years? (b) what is the approximate probability that 50 or more of them fail in their first 2 years? (c) if you have learned that 30 vehicles have already failed in under 2 years, what is the approximate probability that no more than 10 of the rest of them fail in their first 2 years? A submarine has a mass of 5 tonnes. State the buoyancy required for it to float stationary in the water How does Flaubert "A Simple Heart", examine you're experiences and/or background? for a converging lens with two curved surfaces, the radius of curvature for both surfaces is 10 cm. if the focal length is 10 cm, what must the index of refraction be? a researcher wants to test the hypothesis that the mean rating of guilt will be higher for unattractive defendants than for attractive defendants. the appropriate statistical test would be the | 2. Ghana recently accelerated its plan to privatize tens of thousands of state-owned firms. The estimates of the market demand and supply for the goods are given byQd = -2P + 10 and Q. = 2P-2 2 (a) Determine the equilibrium price and quantity (b) Calculate the price elasticity of demand and supply and comment on your results. (c) The government raises a concern that the free-market price might be too high for the consumers and is planning to set a price ceiling of GH1.5. What problem will arise out of these concerns from the Government? (d) Briefly explain 3 main effects the above problem will have on the market. (e) Suggest some measures that the Government should adopt to make price ceiling effective. Now suppose the Government imposed a per tax 2 Ghana cedis on the quantity supplied calculate the consumer and producer surplus before and after the imposition of the tax. Write an application in Java that prompts a user for two integers and displays every integer between them. Display There are no integers between X and Y if there are no integers between the entered values. Make sure the program works regardless of which entered value is larger. It starts out with this:import java.util.Scanner;public class Inbetween { public static void main (String args[]) { // Write your code here }} in radiographic comparisons, it is important to remember group of answer choices that all antemortem changes will be present in radiographs that all surgical implants will be present in the radiographs the passage of time between antemortem and postmortem films individualizing traits are often the ones that are the most common Which of the following sentences isgrammatically correctMe and my friend is going to themallor Me and my friend are going to the mall 138 x 1428+209 A. 278 B. 288 C. 298 D. 388 you are providing security advice and training to a customer's technical team. one asks how they can identify when a buffer overflow occurs. what is your answer? scientists want to determine the age of four fossil specimens. they have analyzed the fossils and gathered the data shown in table 1. table 1. data collected from four fossil specimens specimen 1 specimen 2 specimen 3 specimen 4 amino acid differences* 5 21 18 11 percent of original carbon-14 remaining 38 73 25 11 composition sandstone sandstone limestone shale dna analysis 35% guanine 28% guanine 12% guanine 29% guanine * amino acid differences of a conserved protein compared with a fifth fossil specimen which of the specimens indicated in the table is the oldest? responses specimen 1 specimen 1 specimen 2 specimen 2 specimen 3 specimen 3 specimen 4 which are the joints that have zero-force members? which are the joints that have zero-force members? joints with all members in tension and compression. joints with all members with zero force. joints with only two non-collinear members and no external load or support reaction applied to the joint. joints with at least one member with zero force