A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?

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A Rectangular Prism Has A Base With A Length Of 25, A Width Of 9, And A Height Of 12. A Second Prism

Answers

Answer 1

Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12


Related Questions

Answer the multiple choice first then the inequality

Answer the multiple choice first then the inequality
Answer the multiple choice first then the inequality

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Answer:

8x+48>280

Step-by-step explanation:

first do your mom then do your dad

Please help!!! Timed test!! I want to double check that I'm right before I chose an option.

Please help!!! Timed test!! I want to double check that I'm right before I chose an option.

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answer is c

sorry if incorrect

(12+34)×2.3= (talk to me please please please)​

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Answer:

90.2

Step-by-step explanation:

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Answer:

105.8 is the answer

Step-by-step explanation:

105.8

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GUYS PLS HELP MEEEE!!!

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Answer:

Has an x-intercept of (0,0) and an increasing interval from (-2, infinite)

Create an expression with at least four numbers in two different operations that has a value of 12 (order of operations 8th grade)

Answers

Answer: (4x5) / 10 - 5 = 5

Step-by-step explanation: 20/10 = 10

10-5 = 5

Which relationships have a constant of proportionality equal to 25? Pick 2 answers

Which relationships have a constant of proportionality equal to 25? Pick 2 answers

Answers

Answer:

B and C.

Step-by-step explanation:

If you divide the y value by the x value then it would be 25 for B and C. A and D do not work. A does not work because as you move along the graph 25 divided by 2 and anything higher is not 25. I hope this helps!!

Answer:

b and c

Step-by-step explanation:

because 75/3=25

125/5=25 and and you already have the graph!

Halle deposited $4000 into an account that earns 5% interest each year. the growth of her investment can be expressed by the exponential equation a = 4000(1 + 0.05)t , where a is the amount in the account after t years. in how many years will her account exceed $10,000?

Answers

After 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest, each year.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

We have an exponential equation:

\(\rm a = 4000(1+ 0.05)^t\)

Plug a = $10,000

\(\rm 10000 = 4000(1+ 0.05)^t\)

After calculating:

\(\rm 1.05^t= 2.5\)

t = 18.78 ≈ 18.8 years

Thus, after 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest each year.

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Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50

Find the measure of the indicated angle to the nearest degree.A. 40B. 57C. 33D. 50

Answers

Answer:

50(Option D)

Step-by-step explanation:

Trigonometry

Inverse trig for this

So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan

tan^-1(56/47)

We get 49.993744 and so on

So rounded to the nearest degree, that is 50.

Suppose that we want to estimate what proportions of all drivers exceed the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield. Use the formula of the earlier exercise to determine how large a sample we will need to be at least 99 % confident that the resulting estimate, the sample proportion, is off by less than 0.04.

Answers

We need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.

To estimate the proportion of all drivers exceeding the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level, we need to use the following formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

where n is the sample size, Z is the Z-score for the desired confidence level (2.576 for 99% confidence level), p is the estimated proportion of drivers exceeding the speed limit (we don't have an estimate, so we'll use 0.5 for maximum variability), and E is the margin of error we want (0.04).

Plugging in the values, we get:

\(n = (2.576^2 * 0.5 * (1 - 0.5)) / 0.04^2\)

n = 664.92

Therefore, we need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.

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what is the mean to this
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6

Answers

Answer:

44.8

Step-by-step explanation:

What is the probability of a number less than 4 showing when a number cube is rolled?

Answers

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

GEOMETRY!I will mark the BRAINIEST!!!

GEOMETRY!I will mark the BRAINIEST!!!

Answers

Answer:

C. 4

Step-by-step explanation:

Writing an equation of a hyperbola given the Foci and asymptotes

Writing an equation of a hyperbola given the Foci and asymptotes

Answers

Hello there. To solve this question, we'll have to remember some properties about foci and asymptotes of hyperbolas.

First, the equation for a hyperbola with real axis a and imaginary axis b is:

\(\dfrac{(x-x_0)^2}{a^2}-\dfrac{(y-y_0)^2}{b^2}=1\)

centered at (x0, y0) and axis of symmetry being the x-axis.

The asymptotes are given by the equations:

\(y=\pm\dfrac{b}{a}x\)

The relationship between a, b (the real and imaginary axis) and the value c (that stands for the coordinates of the foci)

\((-c,0)\text{ and }(c,0)\)

for hyperbolas is:

\(c^2=a^2+b^2\)

From the equation of the asymptotes, we find that:

\(\begin{gathered} \dfrac{b}{a}x=7x \\ \\ \dfrac{b}{a}=7\Rightarrow b=7a \end{gathered}\)

Hence we get:

\(c^2=a^2+(7a)^2=a^2+49a^2=50a^2\)

And from the coordinates of the foci, we get

\(c=10\)

Hence

\(\begin{gathered} 10^2=50a^2 \\ 100=50a^2 \\ a^2=\frac{100}{50}=2\Rightarrow a=\sqrt{2} \end{gathered}\)

Then from the relation with b, we get

\(b=7a=7\sqrt{2}\)

Finally, the center is the midpoint between the foci. In this case, we get:

\(\begin{gathered} x_{center}=\dfrac{-10+10}{2}=0 \\ \\ y_{center}=\dfrac{0+0}{2}=0 \end{gathered}\)

So we say the center is at the origin, or (x0, y0) = (0, 0).

Then we find the equation of the hyperbola:

\(\dfrac{x^2}{2}-\dfrac{y^2}{98}=1\)

And with a software, you can see this is the right answer (see the following image:)

This is the answer to this question.

Writing an equation of a hyperbola given the Foci and asymptotes

Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.

Answers

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Plug in what you know into v = 10 + at
You get a = 10
Make a the subject of the formula v = u + at.Hence, find the value of a when t = 4, u = 10 and v=50.

HELP ME IM TERRIBLE AT THIS

HELP ME IM TERRIBLE AT THIS

Answers

Answer:

a.   $14.50

b.  $43.5

Step-by-step explanation:

a. $7.00 + $7.50 = $14.50

b. y = 14.5x          x=3

y = $14.5 x 3 = $43.5

7w + 6 + 2w = _ (w + 2)

Answers

Answer:

 7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)

 7(3/2) = -6(-2) -3/2

21/2 = 12 -3/2 . . . . . true, answer checks OK

Step-by-step explanation:

Use the distributive property to rewrite the algebraic expression below
9 (r+12)

Answers

Answer:

9r+108

Step-by-step explanation:

9 times r, 9 times 12.

9r+ 12 times 9 equals 9r+108

I've been waiting to order your cupcakes all day!
I'll have 4 Nom-Nom-Nom cupcakes -- that's
80% of my order. The rest of the order are Wow.

Answers

Using fraction, the total number of cupcakes is obtained to be 5.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

If 4 cupcakes represent 80% of the order, then we can use proportional reasoning to find the total number of cupcakes.

Specifically, if x is the total number of cupcakes, then we can write -

4/x = 80/100

where the left-hand side represents the fraction of the order that is Nom-Nom-Nom cupcakes, and the right-hand side represents the percentage of the order that is Nom-Nom-Nom cupcakes.

Solving for x, we get -

x = 4 / (80/100) = 5

So the total number of cupcakes is 5. Since 4 of them are Nom-Nom-Nom cupcakes, the remaining 1 cupcake must be a Wow cupcake.

Therefore, in total there are 5 cupcakes.

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I've been waiting to order your cupcakes all day! I'll have 4 Nom-Nom-Nom cupcakes -- that's 80% of my order. The rest of the order are Wow.
Find the total number of cupcakes.

22+8p<=60 pls help me I am been timed.

Answers

Answer:

p<=4.5

Step-by-step explanation:

Answer:

p<19/4

Step-by-step explanation:

my aunt did this she got all of it right she is top of math class

Hope this helps

Using the partial fractions technique, the function f(x) = 68x+168/ x^2+2x-24 can be written as a sum of partial fractions

Answers

We can express f(x) as a sum of partial fractions as:  f(x) = (-10 / (x + 6)) + (78 / (x - 4))

To write the function f(x) = \((68x + 168) / (x^2 + 2x - 24)\) as a sum of partial fractions, we first need to factor the denominator:

\(x^2 + 2x - 24 = (x + 6)(x - 4)\)

So we can write:

f(x) = (68x + 168) / ((x + 6)(x - 4))

Now we can use the method of partial fractions to express f(x) as a sum of simpler fractions:

f(x) = A / (x + 6) + B / (x - 4)

where A and B are constants that we need to find. To do this, we can multiply both sides of the equation by the common denominator (x + 6)(x - 4):

(68x + 168) = A(x - 4) + B(x + 6)

Expanding and collecting like terms, we get:

68x + 168 = (A + B) x + (6B - 4A)

Since this equation holds for all values of x, we can equate the coefficients of x and the constant terms separately:

68 = A + B

168 = 6B - 4A

Solving these two equations simultaneously, we get:

A = -10

B = 78

Therefore, we can express f(x) as a sum of partial fractions as:

f(x) = (-10 / (x + 6)) + (78 / (x - 4))

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rectangular prism 4 units and 2 1/8 units2

Answers

Answer:

17/2 units^3

Explanation:

The volume of the rectangular prism is given by

Volume = width * height* length

Now we are already given that

width * height = 2 1/8 units

Therefore, our equation for volume becomes

Volume = 2 1/ 8* length

since length = 4 units, we have

Volume = 2 1/8 * 4

Volume = 17 /2 units

which is our answer!

If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?

Answers

The area of the figure shown below is equivalent to 88 square units.

Properties of a parallelogram

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.

The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.

The formula for calculating the area of a parallelogram is expressed as;

Area = length * breadth

Area = x * h

Area = 8 * 11

Area = 88 square units

Hence the area of the parallelogram above is 88 square units.

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If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?

71, X
The symbol U represents the union of two sets. What do you think the
notation represents?

71, XThe symbol U represents the union of two sets. What do you think thenotation represents?

Answers

It could represent Range or domain

6x + 8y = -2 -5x - 7y = 1

6x + 8y = -2 -5x - 7y = 1

Answers

Answer: Solution = (- 3, 2)

Explanation:

The system of equations is

6x + 8y = -2

-5x - 7y = 1

We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have

30x + 40y = - 10

- 30x - 42y = 6

By adding both equations, we have

30x + - 30x + 40y + - 42y = - 10 + 6

30x - 30x + 40y - 42y = - 4

- 2y = - 4

Dividing both sides by - 2,

- 2y/- 2 = - 4/- 2

y = 2

Substitu4ing y = 2 into equation 1, we hav

6x + 8 * 2 = -2

6x + 16 = - 2

Subtracting 16 from bth sides,

6x + 16 - 16 = - 2 - 16

6x = - 18

Dividing both sides by 6,

6x/6 = - 18/6

x = - 3

Solution = (- 3, 2)

Please helppppppp!!!!!!!!!!!!

Please helppppppp!!!!!!!!!!!!

Answers

Answer:

give me more points then i will tell you the answer

Select the correct answer.
The members of the Malone family have been reading fiction and nonfiction books over the summer. So far in June and July, they have read books both in paper copies and electronically, as shown in the given tables.

June
Paper Digital
Fiction 7 1
Nonfiction 2 6
July
Paper Digital
Fiction 4 3
Nonfiction 6 1
Which matrix equation could the Malones use to show the total books they’ve read of each different type so far this summer?

Select the correct answer.The members of the Malone family have been reading fiction and nonfiction books

Answers

The matrix equation that could show the total books is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

How to determine the matrix equation?

The given parameters are the two-way tables attached to the question.

From the tables, we have the following matrices

\(June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]\)

\(July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

The sum of these matrices is represented as:

June + July =  Total

So, we have:

\(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

Add the elements at corresponding positions

\(\left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

Hence, the matrix equation is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

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I need help with this please ASAP people keep on skipping I need help

I need help with this please ASAP people keep on skipping I need help

Answers

Answer:

To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:

Monday: 6/8 of an hour

Wednesday: 4/8 of an hour

Friday: 2/8 of an hour

Sunday: 4/8 of an hour

Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:

0         1         2         3         4

|---------|---------|---------|---------|   <- Number line

         .     .

       .             .

   .                     .

.                             .


To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:

6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours

Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:

2 hours ÷ 4 = 0.5 hours

Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.

Find the probability that the child spends less than 1 hour per day unsupervised. Write the probability statement. p( x >x=0.60 Your answer cannot be understood or graded. More Information What is the probability? (Round your answer to four decimal places.) 2.55 Part (d) What percent of the children spend over 10 hours per day unsupervised? (Round your answer to four decimal places) 51 X % Part (e) 60% of the children spend at least how long per day unsupervised? (Round your answer to two decimal places.) 2.88 1x hours The length of time it takes to find a parking space at 9 A.M. follows normal distribution with a meandmines and standard de Eighty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places 6.82 x min Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

Answers

The probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

To find the probability that the child spends less than 1 hour per day unsupervised, we can use the normal distribution and the given mean and standard deviation.

Given:
Mean (μ) = 3 hours
Standard Deviation (σ) = 1.8 hours

We want to find the probability that the child spends less than 1 hour per day unsupervised, which is equivalent to finding the area under the normal distribution curve to the left of 1 hour.

Using the Z-score formula:
Z = (x - μ) / σ

Substituting the values:
Z = (1 - 3) / 1.8
Z = -1.11

Now, we can use a Z-table or a calculator to find the probability associated with the Z-score of -1.11. The probability can be found as the area to the left of the Z-score.

Looking up the Z-score of -1.11 in the Z-table, we find the corresponding probability to be 0.1335.

So, the probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

The probability statement is: p(x < 1) = 0.1335.

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Which density is expressed correctly to three significant figures?.

Answers

Therefore, the correct expression of the density, rounded to three significant figures, would be 2.46 g/cm³.

To express a density value to three significant figures, you need to consider the number of significant figures in the given data or measurement.

For example, if the given data or measurement has four significant figures, you would round the density value to three significant figures.

Let's consider an example:

Suppose the density of a substance is measured as 2.456 grams per cubic centimeter (g/cm³). To express this density value to three significant figures, you would round it to the nearest thousandth:

2.456 g/cm³ rounded to three significant figures is 2.46 g/cm³.

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hii pls help i’ll give brainliest if you give a correct answer tysm

hii pls help ill give brainliest if you give a correct answer tysm

Answers

Answer:

Equations ; 1, 3 , 5 and 6 are correct

Step-by-step explanation:

From the question, we are told that 2 1/2 feet is 5/8 of the height of the tower to be built

Now, we want to get the equation for the height of the tower

we have this as follows;

since we do not know the height of the tower, we can represent it by ?

a. 5/8 of ? = 2 1/2

b. 2 1/2 divided by ? = 5/8

c. 2 1/2 • 8/5 = ?

d. 2 1/2 divided by 5/8 = ?

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