The graph which shows a system of linear-equations with one unique solution at (0,5) is option-B which shows lines, intersecting at (0,5).
What is system of linear equations?
The collection of two or more linear equations is called as system of linear equations. The linear equations have the degree of variable as one. Though a single linear equation can have infinite number of solutions, but a pair of linear equation can be classified as consistent or inconsistent. The equations which are consistent have either one solution or infinte solutions. The intersecting pair of consistent equations have unique solution whereas the coinciding pair of consistent equations have infinite number of solutions. The equations which are inconsistent are the parallel lines which do not have any solution.
Here the system must have one unique solution as (0,5)
a)graph as parallel lines: which means they are inconsistent & do not have any solution.
b)The graph shows lines intersecting at (0,5): which means the system is consistent with unique solution (0,5)
c)The graph shows lines intersecting at (1,6): which means the system is consistent with unique solution (1,6)
d)graph shows two lines which appear as one: means the lines are coinciding with infinite solutions.
So the answer is option-B
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Sandra uses the formula, P = DB, to find her approximate six-month premium when her driver risk factor, D, is 1.0 and the basic six-month premium is $567.
What will her monthly premium be?
A. $170.00
B. $177.50
C. $94.50
D. $201.15
Evaluate each determinant
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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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.
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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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
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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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
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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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?
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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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
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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help asap assignment closes soon!
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)
which fractions are equivalent to 14? response - incorrect responses 516 5 over 16 36 3 over 6 316 3 over 16 28 2 over 8 520 5 over 20 416 4 over 16
The fractions that are equivalent to 14 are 28 2 over 8 520 5 over 20 416 4 over 16.
To find the fraction = 14, multiply or divide both the numerator and denominator of 14 by the same number.
The fraction 14 can be written as 14/1.
Multiplying the numerator and denominator of 14/1 by 2 gives:
28/2 = 14
Multiplying the numerator and denominator of 14/1 by 3 gives:
42/3 = 14
Multiplying the numerator and denominator of 14/1 by 4 gives:
56/4 = 14
28/2 = 14
70/5 = 14
So the fraction corresponding to 14 is:
28/2
42/3
56/4
70/5
Of the choices given in the question, only 28 equals 2/8, and 56 equals 4/16 14. Any other option is wrong.
So the correct answer is:
28 2/8
56 4/16 .
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Stuart created a piece of decorative wall art that has the dimensions shown. Fine the area of the wall art
The calculated area of the wall art is 474 square inches
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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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.
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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volume of a cylinder geometry problems
Answer:
81
Step-by-step explanation:
For 1 rod:
V = πr²h
V = 3.14 × (3 cm)² × 20 cm
V = 565.2 cm³
Total volume of steel used: 45,781.2 cm³
45,781.2 cm³ / 565.2 cm³ = 81
Answer: 81
YALL PLSS PLS PLS I NEED HELP
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
Write each of the following expressions without using absolute value
|6m-4| if m<9
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.
what is the range of standard irq numbers? question 2 options: a) 0-7 b) 0-15 c) 0-32 d) 8-15
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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y=3.5x+5 and y=4x+2 when will they be the same
A bike wheel has a radius of 13 inches. About how far does thhe bike wheel travel in 5 rotations? Explain.
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:
how to substitute for a equation
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 variableLine segment has end points what is the length of the line segment
With given coordinates of the endpoints of line, the length is 17.75 units.
What are coordinates ?
Coordinates are a set of numbers that describe the position or location of a point in space. In a two-dimensional plane, coordinates are typically represented by two values, an x-coordinate and a y-coordinate, which describe the horizontal and vertical position of a point, respectively.
Now,
The length of a line segment in a two-dimensional plane can be calculated using the distance formula:
d=√[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) and (x₂, y₂) = coordinates of the endpoints of the line segment
In this case, the coordinates of the endpoints are (4.25, 6.25) and (22, 6.25)
d = √[(22 - 4.25)² + (6.25 - 6.25)²]
= √[(17.75)² + (0)²]
= √(315.0625)
= 17.75
Therefore,
the length will be 17.75 units.
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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?
PLEASE HELPP
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
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.
Help me with this question?
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 = interceptThe 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 questionA 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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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?
Answer:
18 blinks per min since 126 divided by 7 equals 18.
45degree , 30degree , 105degree are what triangle?
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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select all of the equations that are equivalent to 3x+5=20-x
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.Learn more about equations from
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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
Length ams breadth and height of rectangle block. Ratio is 4:3:5 and its volume is 3840 cm3 calculate length, breadth, height
The length, breadth, and height of the rectangular block are 256 cm, 192 cm, and 320 cm respectively.
To calculate the length, breadth, and height of a rectangular block whose ratio is 4:3:5 and its volume is 3840 cm3,
follow the steps below:
The ratio of length, breadth, and height is 4:3:5 respectively.
Therefore, assume the length to be 4x, the breadth to be 3x, and the height to be 5x, where x is the common factor.
Then, the volume of the block is calculated as:
Volume = length × breadth × height= 4x × 3x × 5x= 60x³
Since the volume of the block is 3840 cm³, we can equate the equation above to 3840 and solve for x, then find the
length, breadth, and height.
60x³ = 3840 x³ = 3840/60 x³ = 64
Length = 4x = 4 × 64 = 256 cm
Breadth = 3x = 3 × 64 = 192 cm
Height = 5x = 5 × 64 = 320 cm
Therefore, the length, breadth, and height of the rectangular block are 256 cm, 192 cm, and 320 cm respectively.
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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?
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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How do I divide -5 by 1,000? and is not 200
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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what is the result of dividing -5 by 1,000
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St
Order the steps to solve the equationlog(x2 - 15) = log(2x) form 1 to 5.x2 - 2x - 15 = 0Potential solutions are -3 and 510.00x2 - 15 = 2xX-5 = 0 or x +3=0(x - 5)(x + 3) = 0
To solve the equation \begin{equation}-\log{\left(x^2 - 15\right)} = \log{\left(2x\right)}\end{equation}, the following steps can be taken:
Apply the logarithmic identity log(a) = log(b) if and only if a = b to obtain the equation x^2 - 15 = 2x.
Move all the terms to one side of the equation to get x^2 - 2x - 15 = 0.
Factor the quadratic expression to obtain (x - 5)(x + 3) = 0.
Use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero, to get x - 5 = 0 or x + 3 = 0.
Solve for x in each equation to obtain x = 5 or x = -3.
Therefore, the steps to solve the equation log(x^2 - 15) = log(2x) from 1 to 5 are:
Apply the logarithmic identity to get x^2 - 15 = 2x.
Move all the terms to one side of the equation to get x^2 - 2x - 15 = 0.
Factor the quadratic expression to obtain (x - 5)(x + 3) = 0.
Use the zero product property to get x - 5 = 0 or x + 3 = 0.
Solve for x in each equation to obtain x = 5 or x = -3.
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Please what’s 7 divided by 70.85 please show work
Answer:
0.098
Step-by-step explanation: