The image of the point (2, -9) under a translation is (4, -14). Find the coordinates
of the image of the point (5, 6) under the same translation.

The volume of the triangular prism as shown in the attached image is 30 cm³.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.

The area of the triangular base can be found using the formula:

Area = (1/2) × base × height

In this case, the base is 5 cm and the height is 4 cm, so the area of the triangular base is:

Area = (1/2) × 5 cm × 4 cm = 10 cm²

The height of the prism is 3 cm.

Therefore, the volume of the triangular prism is:

Volume = Area of triangular base × height

= 10 cm² × 3 cm

= 30 cm³

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Answer:

D

Step-by-step explanation:

The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment

The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

In conclusion, the correct option is D.

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Answer:

the answer is a

Step-by-step explanation:

i literaly just tookthetest on edginuity

Answer:

a = 9

Step-by-step explanation:

First we substitute 1 into the quadratic equation :

(x+2)² = a

(1+2)² = a

(3)² = a

3×3 = a

a = 9

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Answer:

1/64 ft^3

Step-by-step explanation:

(1/4)^3 = 1/64 cubic feet

Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

The mode of the textbooks thicknesses is,

⇒ 1 cm

Since, The most frequent number which is, the number that occurs the highest number of times is called Mode of data set.

Here, We have to given that;

The librarian measured the thickness of the textbooks in the school library.

And, Among a selection of 6 books, he recorded the following thicknesses:

⇒ 4 cm, 1 cm, 1 cm, 1 cm, 5 cm, 2 cm

Hence, By definition of mode we get;

Here, Most often number in data set is, 1 cm

So, The mode of the textbooks thicknesses is,

⇒ 1 cm

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

2,1

Step-by-step explanation:

Answer: ≈ 55.045

Step-by-step explanation:

The formula is A=Pe^rt

A = (?) projected population

P = 42.4 (current population)

r = 0.0145 (growth rate)

t = 18 (difference between years: 2022 - 2004)

A = 42.4e^0.0145(18)

A = 42.4e^0.261

A = 42.4(1.298227665)

A ≈ 55.045

Step 1

A) Select all that describes the line ZV

A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex. Each triangle has 3 medians

B) Select all that describes the line ST

Perpendicular Bisector is a line or a segment perpendicular to a segment that passes through the midpoint of the segment.

C) Select all that describes line HI

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).

The answer is 0.00650508866

Answer:

A'(2,-5), B'(2,-1), C'(17,-5)

Answer:

B! Pls mark brainiest!

Step-by-step explanation:

Answer:

Theyre right the answer is B. expirment

Step-by-step explanation:

Took the test just confirming

Answer:

Maybe negative or undefined?

Step-by-step explanation:

If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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The value of the equation that defines the function is f(x) = 3(5/3)ˣ

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

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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The time it will take for about a fourth of the original amount of P-32 remain is given as follows:

27 days.

An exponential function is defined as follows:

y = ab^x.

In which:

Considering that the initial amount is of 100, while after one day the amount was of 95, the parameters are given as follows:

a = 100, b = 95/100 = 0.95.

Hence the function for the amount remaining after x days is given as follows:

y = 100(0.95)^x.

One fourth of the amount will be remaining when y = 25, hence:

25 = 100(0.95)^x.

(0.95)^x = 0.25

xlog(0.95) = log(0.25)

x = log(0.25)/log(0.95)

x = 27 days.

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Answer:

1:1

Step-by-step explanation:

saw it somewhere else

For the mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39,  the probability   is mathematically given as

x=0.1379

Generally, the equation for the probability  is mathematically given as

P(\=x>210)

Therefore

P=(z>\frac{204-198}{39/\sqrt{106}})

P=(z>1.583)

In conclusion, from cumulative table

x=1-p(z>1.583)

x=1-0.8621

x=0.1379

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Answer:

430 words per minutes because we divide 1720 by 40 to get the number of words for a singular minute.

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The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

mean (μ) = 60 seconds, standard deviation (σ) = 1 second

99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)

The middle 99.7% is within 60 seconds to 63 seconds.

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Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle: