what is 2.5<1/3(x-18) ??

1. Dilation is the process of enlarging or shrinking a figure or shape by a scale factor.

2. Reflection is the process of flipping a figure or shape over an axis. In this example, A'B'C' is reflected over the x-axis.

3. A pair of triangles that are congruent are triangles with the same size and shape.

4. A pair of triangles that are similar are triangles with the same shape but different sizes.

Dilation is a mathematical operation used to expand or contract a shape. It involves multiplying every point in the shape by a given scale factor. The scale factor determines how much the shape is changed. The result is a line segment twice the length of the original.

1. In this example, triangle ABC is dilated by a factor of 2 about the point (-1,4). This means that all points on the triangle ABC will be multiplied by the scale factor 2. So the coordinates of point A will become (N-1,6) x 2 = (-2,12), point B will become (-4,5) x 2 = (-8,10) and point C will become (-4,0) x 2 = (-8,0). The new triangle created by the dilation is A'B'C'.

2. This means that the x-coordinates of the points remain the same, but the y-coordinates are multiplied by -1. So the coordinates of point A' will become (-2,12) x -1 = (-2,-12), point B' will become (-8,10) x -1 = (-8,-10) and point C' will become (-8,0) x -1 = (-8,0). The new triangle created by the reflection is ABC'.

3. A pair of triangles that are congruent are triangles with the same size and shape. In other words, the sides and angles of the two triangles are all equal.

4. A pair of triangles that are similar are triangles with the same shape but different sizes. In other words, the angles of the two triangles are equal, but the sides are not necessarily the same length.

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Answer: 36

Step-by-step explanation: Since the sum of the angles in a triangle is 180 degrees, we can set up an equation:

x + 2x + 2x = 180

Simplifying the equation, we get:

5x = 180

Dividing both sides by 5, we get:

x = 36

Therefore, the value of x is 36 degrees.

Answer:

look at the photo.........................

The best measure of center for the data is Option D: The median, and it equals 8.

What is median?

In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.

The best measure of center for this data is the median because the data is skewed and has outliers.

The median is the middle value when the data is arranged in order, which is less sensitive to outliers than the mean.

To find the median, we need to count the number of data points and find the middle value -

1, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9

We have 11 data points, so the median is the 6th value -

Median = 8

Therefore, the best measure of center for the data is the median, and its value is 8.

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Answer: 240 is your answer for 100% of the e-book

Step-by-step explanation: so if we look at the given facts, 180 is 75% of the e-book, now take this and divide 180 by 3, and you get 25% of the e-book (60 is 25%) so if we factor that back into the 180 75%, we now get 240 at 100% of the e-book read

Answer:

The length of BD in its simplest radical form is [tex]\sf \sqrt{429}[/tex].

Step-by-step explanation:

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of the altitude to one segment is equal to the ratio of the other segment to the altitude.

[tex]\boxed{\sf \dfrac{altitude}{segment\:1}=\dfrac{segment\:2}{altitude}}[/tex]

Given values (see attached diagram):

To find the length of the altitude BD, substitute the values into the formula and solve for x:

[tex]\implies \sf \dfrac{BD}{AD}=\dfrac{DC}{BD}[/tex]

[tex]\implies \sf \dfrac{x}{33}=\dfrac{13}{x}[/tex]

[tex]\implies \sf x^2=429[/tex]

[tex]\implies \sf x=\sqrt{429}[/tex]

As the square root of 429 cannot be simplified any further, the length of BD in its simplest radical form is [tex]\sf \sqrt{429}[/tex].

Answer: 90

Step-by-step explanation: I've done this before

Answer:

The sequence 100, 50, 10, 5, 1, ... is NOT a geometric sequence because there is no single constant ratio that multiplies each term to get the next one.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7(g - 10h + 4)}[/tex]

[tex]\large\text{\underline{Distribute} \boxed{\text{7}} \underline{within the parentheses}:}[/tex]

[tex]\mathsf{= 7(g - 10h + 4)}[/tex]

[tex]\mathsf{= 7(g) + 7(-10h) + 7(4)}[/tex]

[tex]\mathsf{= 7g - 70h + 28}[/tex]

[tex]\large\text{We \boxed{\text{cannot}} do anything further because we do NOT have any \underline{like}}\\\large\text{\underline{terms}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{7g - 70h + 28}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Step-by-step explanation:

4. a

x cannot be 0 because 2/0 cannot be calculated - we say that it is undefined.

b. x cannot be 1 as that would mke the denominator x - 1 = 0 which is undefined.

5 a. (9x - 5)(9x + 5)

b. (2x + 1)(x - 3).

6.

C.  (x + 7)/3

7.

a. (-5, ∝)

b. (-∝, 2]

c.(-3, 7].

8.

y = kx

24 = 16k

k = 1.5

So, y = 1.5x

When x = 50

y = 1.5*50 = 75.

Answer:

The greatest common factor (GCF) of -16x^2 - 6x^4 is 2x^2.

To find the GCF, we can factor out the common factors of the two terms. In this case, both terms have a factor of 2 and a factor of x^2.

-16x^2 - 6x^4 = 2x^2(-8 - 3x^2)

So the GCF is 2x^2.

The likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is called sampling risk.

Sampling error refers to the disparity between a sample's characteristics and those of the population from which it was drawn. It arises from using a sample rather than the whole population to estimate statistics such as mean, variance, and proportions.

Since a sample only represents a portion of the population, it cannot be expected to have the same characteristics as the whole population. The study of sampling error is an essential part of statistical analysis, as it is a source of uncertainty in making inferences about the population from a sample.

To reduce the sampling error in your survey, you can utilize a larger sample size. It is also beneficial to ensure that the sample is chosen randomly and without bias.

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Step-by-step explanation:

Put the logs on the same side.

[tex] log_{2}(7y - 1) - log_{2}(y - 1) = 3[/tex]

Using log rules, whenever you separate two logs using subtraction and they have the same base, we can write them as one log where they are a rational function

[tex] log_{2}( \frac{7y - 1}{y - 1} ) = 3[/tex]

Let both of these expression be the power of a exponent with base 2.

[tex]2 {}^{ log_{2}( \frac{7y - 1}{y - 1} ) } = 2 {}^{3} [/tex]

The base 2 and log base 2 cancel out

[tex] \frac{7y - 1}{y - 1} = 8[/tex]

When y =1, we will get undefined so y cannot be 1

However, multiply both sides by y-1

[tex]7y - 1 = 8(y - 1)[/tex]

[tex]7y - 1 = 8y - 8[/tex]

[tex]7 = y[/tex]

Answer: 4

Step-by-step explanation:

z^2 = 16

Since z is squared and we know that it equals 16. Take the square root of 16 which is 4.

4 x 4 = 16

Answer:

Step-by-step explanation:

16

The coffee distributor should mix 8 pounds of Kenya coffee blend and 2 pounds of breakfast coffee blend to make 10 pounds of a coffee blend that can sell for $9.36 per pound.

We can use the idea of weighted averages to overcome this issue. Assume that 10 pounds of the desired blend require x pounds of Kenya coffee blend and y pounds of morning coffee blend.

The price of the Kenya coffee mix per pound is $8.20, while the price of the morning coffee blend per pound is $14.00. The required combination costs $9.36 per pound. On the basis of the weighted average, we can construct the following equation:

8.20x + 14.00y = 9.36(10) (10)

When we simplify this equation, we obtain:

8.20x + 14.00y = 93.60

Given that we are producing 10 pounds of the ideal blend, we also know that x + y = 10. To get the values of x and y, we can use substitution or elimination to solve this system of equations.

Use substitute now. We can find x from the second equation by solving in terms of y:

x = 10 - y

Substitute this into first equation, we get:

8.20(10 - y) + 14.00y = 93.60

82 - 8.20y + 14.00y = 93.60

5.80y = 11.60

y = 2

We obtain x = 8 by substituting y = 2 into x = 10 - y. Hence, to manufacture 10 pounds of a coffee mix that can be sold for $9.36 per pound, we'll need 8 pounds of Kenya coffee blend and 2 pounds of breakfast coffee blend.

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Using division operation, the length it will take the three hoses to fill the pool is 8.33 hours.

The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves the dividend, the divisor, and the result called the product.

In this situation, it will take Hose A 10 hours to fill the pool and Hose B 5 hours.  If the two hoses are in use, it will 7.5hours (10 + 5)/2.

When the third hose is added, it will take 8.33 hours (10 + 5 + 10)/3.

The first hose's filling rate for the pool = 10 hours

The second hose's filling rate for the pool = 5 hours

The third hose's filling rate for the pool = 10 hours (the slower rate)

The total number of hours used by the three hoses = 25 hours (10 + 5 + 10)

The number of hoses used = 3

The length of time it will take the 3 hoses to fill the pool = 8.33 hours (25/3)

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Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

⇒To be able to answer this question to find how many hours Brooke played his flute for 5 days we ought to first convert the 5 days to hours.

⇒There are 24 hours in a day this means that in 5 days we have =24×5

=120 hours.

⇒We have 120 hours in 5 days , it is said that Brooke played her flute [tex]\frac{3}{4}[/tex],

Meaning she played the flute [tex]\frac{3}{4}[/tex] hours of 120 hours which is equal

[tex]\frac{3}{4} *\frac{120}{1}\\=90[/tex]

For 5 days Brooke played her flute 90 hours

⇒The next step is to convert the 2 days to hours which is equivalent to 24×2

=48 hours are in 2 days, it is said Brooke played the flute [tex]\frac{1}{2}[/tex] hours of 2 days. This simply is equivalent to

[tex]\frac{1}{2} *\frac{48}{1} \\=24[/tex]

⇒For 2 days Brooke played the flute 24 hours,

The total number of hours she played it all is =Number of hours she played it in 5 days+ Number of hours she played it in 2 days.

=90+24

=114

⇒In total of these 7 days she played the flute for 114 hours

Answer:

-9, -6, -4, -2, 2, 3

Step-by-step explanation:

the higher the negative the lower it is

Answer:

2/13

Step-by-step explanation:

A standard deck of cards has four suits
Therefore there are four twos, one from each suit
There are also 4 kings, one from each suit

P(two) = 4 twos/52 cards = 4/ 52 = 1/13

PKing) = 4 kings/52 cards = 1/13

P(two or king) = P(two) + P(king)
= 1/13 + 1/3

= 2/13

The percentage of 8th graders who send more than 50 texts is 56.15%

Here we want to find the percentage of eight grades who send more than 50 texts, and to get that we need to use the values in the table.

The formula for that percentage is:

P = 100%*(number that send more than 50 texts)/(total number)

On the table we can see that the total number of 8th gradesr is 130, and the number that send more than 50 messages is 73, then the percentage is:

P  = 100%*(73/130)

P = 56.15%

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Hy bro in which class you are?

Answer: Bro Didnt give any context dont report if wrong

Step-by-step explanation:

i is the imaginary unit, which is defined as the square root of -1.

To find the value of i^48, we can use the fact that i^2 = -1, and simplify the expression as follows:

i^48 = (i^2)^24

Since i^2 = -1, we can substitute -1 in the above expression:

(i^2)^24 = (-1)^24

Any non-zero number raised to an even power is positive, so (-1)^24 = 1. Therefore:

i^48 = 1

Hence, i^48 is equal to 1.

Answer:

4/13

Step-by-step explanation:

total = 14 + 6 + 12 + 4 + 16 = 52

purple = 16

p(purple) = 16/52 = 4/13

Hence, the predicted mean weight of progeny is 77.6 g (rounded off to three significant figures).

As given that the mean fruit weight of a population of tomato plants is 60 g and the heritability coefficient (h_p) is 0.12, it is required to predict the mean weight of the progeny if tomato plants whose fruit averaged 80 g were selected from the original population and interbred .

The formula for the predicted mean weight of progeny (MP) is given as: MP =  mean weight of selected individuals + (h_p) × (mean weight of original population - mean weight of selected individuals)

Using the above formula, we have ,mean weight of selected individuals = 80 g mean weight of original population = 60 gh_p = 0.12Substituting the given values in the above formula, we get :[tex]MP =  80 + 0.12 × (60 - 80)MP =  80 + 0.12 × (-20)MP =  80 - 2.4MP =  77.6 g[/tex]

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Alexis has 12 quarters and 8 dimes.

Let's use d to represent the number of dimes and q to represent the number of quarters. We know that Alexis has a total of 20 coins, so d + q = 20.

We also know that the value of these coins is $3.80. Since dimes are worth $0.10 and quarters are worth $0.25, we can write an equation for the total value in cents:

10d + 25q = 380

To make things easier, let's divide both sides of the equation by 5:

2d + 5q = 76

Now we can use the first equation to solve for d in terms of q:

d + q = 20

d = 20 - q

Substituting this into the second equation gives:

2(20 - q) + 5q = 76

Expanding the parentheses and simplifying, we get:

40 - 2q + 5q = 76

3q = 36

q = 12

Therefore, Alexis has 12 quarters. We can check this by plugging q back into the first equation to find that she has 8 dimes as well:

d + q = 20

d + 12 = 20

d = 8

The total value of 12 quarters and 8 dimes is:

12 quarters x $0.25 per quarter + 8 dimes x $0.10 per dime = $3.00 + $0.80 = $3.80


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Answer:

8

Step-by-step explanation:

The box contains a total of 4 x 12 = 48 eggs.

If we arrange these eggs in 6 rows, we need to divide the total number of eggs by 6:

48 ÷ 6 = 8

Therefore, there will be 8 eggs in each row.

(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.

(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.

For a)

To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:

M = [tex]P[r(1+r)^n / ((1+r)^n - 1)][/tex]

where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.

For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:

M = $[tex]21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)][/tex] = $704.41

For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:

M = $21,000[0.005[tex](1+0.005)^{60[/tex] / ([tex](1+0.005)^{60[/tex] - 1)] = $488.08

Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.

For b)

To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:

For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:

$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07

For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:

$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10

Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.

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Using RFID (radio frequency identification) technology, a supplier can use RFID tags on each crate, case, or shipping unit to create a digital shipping list.

Radio frequency identification (RFID) technology is a wireless communication technology that enables the automatic identification and tracking of objects. RFID tags contain a microchip and an antenna, and are typically attached to or embedded within objects such as crates, cases, or shipping units.

These tags can store information such as a unique identification number or product details, which can be read wirelessly by RFID readers or scanners.

When used in shipping and logistics, suppliers can attach RFID tags to each crate, case, or shipping unit to create a digital shipping list. As the products move through the supply chain, the RFID tags can be read at various checkpoints, providing real-time information on the location and status of the products.

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