tavin is building flower boxes in the shape of a rectangular prism. the first box has a length of 10 feet, a width of 2 feet and an unknown height. the second box has a length of 5 feet and the same height as the first box.if the two volumes are to be the same what should the width of the second box be?

Answers

Answer 1

The volume of a rectangular prism can be obtained using the formula

\(V=l\cdot w\cdot h\)

the volume for the first box is

\(\begin{gathered} V=10\cdot2\cdot h \\ V=20h \end{gathered}\)

the volume for the second box is

\(V=5\cdot w\cdot h\)

if both volumes are equal then both expressions can be equaled

\(20\cdot h=5\cdot w\cdot h\)

since both boxes have the same height, then h is equal on both sides and can be cancelled out.

\(20=5w\)

solve the expression for w

\(\begin{gathered} w=\frac{20}{5} \\ w=4 \end{gathered}\)

the width of the second box should be 4 feet in order for them to have the same volume.


Related Questions

What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.

Answers

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

The volume of square pyramid is 25 cubic inches. You want the height to be 2 inches less than the edge of the base. What are the dimensions?

Answers

Step-by-step explanation:

HELP!! I dont know which one is the correct answer. I'll give brainliest​

HELP!! I dont know which one is the correct answer. I'll give brainliest

Answers

Answer:

\(\sf g = 13.18 \ units\)

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

\(\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}\)

\(\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}\)

\(\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g\)

\(\rightarrow \sf g = 13.18 \ units\)

\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)

Answers

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

How to solve the definite integral?

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!


Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.

I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!Tirzah wants

Answers

Answer:

No

Step-by-step explanation:

To calculate how much fence is needed we need to calculate the perimeter NOT area.

P = 2L+2W

P =2(6.75)+2(4 2/3)

P = 13.5 + 9 1/3

P = 22 5/6

Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please

Answer:

No

Step-by-step explanation:

the perimeter is 22.7 she is approximately .7 off

I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!Tirzah wants

simplify 9/14divided7/10

Answers

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?

Select one:

a.
mean

b.
mode

c.
range

d.
interquartile range

Answers

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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Match The Like Terms
(Algebra 1 class)

Match The Like Terms(Algebra 1 class)

Answers

1 is c

2 is d

3 is a

4 is e

5 is b

^● ●^

Get it right please.

A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?

Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.

Answers

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?

Answers

Total interest paid would be $2,399.58.

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.

PLS HELP ME

Answers

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?

Answers

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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solve this pleas i need urgent answer

solve this pleas i need urgent answer

Answers

Answer:

f(n)={n/2     = if n is even=   n={2/2

       {3n+1                                 {3(2)+1   =7

Step-by-step explanation:

if n is even u can put any even no in that place and u can get odd no or even no.(i think)

Can someone help I’m struggling

Can someone help Im struggling

Answers

Answer:

ln2 + 5lnx + 3ln(x^2 + 9)

ln2 + lnx^5 + ln(x^2 + 9)^3

ln (2 * x^5 * (x^2 + 9)^3)

A container is 90% filled with chemical solution the container holds 1490 L of chemical solution how many liters of chemical solution are needed to fill the container to the top

Answers

The amount of chemical solution needed to fill the container to the top is 165.56 L.

If the container is already 90% filled with a chemical solution, then the remaining empty space is 10% of the total volume. We can calculate the total volume of the container using the formula:

                 total volume = volume of solution/fraction of container filled

Plugging in the given values, we get:

                 total volume = 1490 / 0.9

                 total volume = 1655.56 L

So, the total volume of the container is 1655.56 L. To fill the container to the top, we need to add the amount of solution that fills the remaining 10% of the container. This is equivalent to:

                volume of remaining space = 0.1 * 1655.56

                volume of remaining space = 165.56 L

Therefore, we need to add 165.56 L of a chemical solution to fill the container to the top.

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Express (1+i)²-3(2-i)³ in the from of a+ib

Answers

\((1+i)^2-3(2-i)^3=1+2i-1-3(8-12i-6+i)=2i-6+33i=\boxed{-6+35i}\).

Hope this helps.

Let a and b 2 positive real number such that a

Answers

Answer:

Proved

Step-by-step explanation:

Given

Integers: a and b

Where \(a < b\)

Required

Show that \(a^n < b^n\)

We start by writing out the given expression

\(a < b\)

Then, take nth root of both sides

\(a^n < b^n\)

For instance:

Let a = 2,  b = 2 and n = 4

First

Since \(2 < 3\)

Then

\(2^4 < 3^4\)

\(16 < 81\)

Proved

This is so for all positive values of a,b and n where a < b

Solve for x. Assume that lines which appear tangent are tangent.

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Using the Tangent-Secant theorem, the value of x in the circle is approximately 33.5

Tangent-Secant theorem: Calculating the value of x

From the question, we are to determine the value of x in the given circle.

From the Tangent-Secant theorem which states that "The product of the length of a secant segment and its external segment equals the square of the length of the tangent segment"

Thus,

We can write that

x × (27 + x) = 45²

27x + x² = 2025

Rearrange

x² + 27x - 2025 = 0

Solve the above quadratic equation using the quadratic formula,

x= [-b ± √(b² - 4ac)] / 2a

We get

x = -60.48 and x = 33.48

Since x cannot be negative,

x = 33.48

x ≈ 33.5

Hence,

The value of x is 33.5

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be careful not to confuse availability with reliability. an available network, for example, does not drop many packets. however, a reliable network is up and operational.

Answers

False: Make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running.

Explain the term Network availability with reliability?

Network reliability is the amount of uninterrupted infrastructure use. There are a few different formulae that are used to calculate reliability.

The first is called mean time among failures (MTBF), which is calculated by dividing the entire time in service by the quantity of failures. The second being failure rate, that is calculated by dividing the total number of failures by the period of service.

The proportion of time network infrastructure is operational over a certain time period is known as network availability.

Alternatively put, uptime divided by the total time spent in service.On the other hand, network dependability highlights how effectively the infrastructure functions to enable functional tasks. A network that has a long MTBF or a reduced failure rate is more likely to consistently finish transactions and procedures.

Thus, it is incorrect that "make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running."

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The complete question is-

Be careful not to confuse availability with reliability. an available network, for example, does not drop many packets. however, a reliable network is up and operational. (True/ False)

find the pattern Z, Y, X, W, V

Answers

Answer:

it's alphabetically backwards

Step-by-step explanation:

It is going backwards

There are 3 juice and 1 water. How many more students like juice than water

Answers

2 juices than water you just subtract

Mucus moves through our body at the speed of 5 mm per minute. If you were riding in a tiny mucus-powered bus through your body, how long would it take you to go to one meter?

Answers

Answer:

200 minutes (or, 3.3 hours).

Step-by-step explanation:

There are 1000 millimeters in a meter.

1000 / 5 = 200

Can somebody help me as sooon as possible

Can somebody help me as sooon as possible

Answers

Answer:

  x = 193

Step-by-step explanation:

Use the distributive property to eliminate parentheses:

  -8x -128 +9x = 65

  x = 193 . . . . . . . . . . collect terms, add 128 to both sides

Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?

Answers

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

7/2x + 1/2x = 9 + 9/2x
the value of x is

Answers

Answer:

Step-by-step explanation:

X is -18

6 times what would = 73

Answers

Answer:

12.1 repeating

Step-by-step explanation:

73/6=12.16666666...

If tan 0= 11/60, what is the value of cot0?

Answers

9514 1404 393

Answer:

  60/11

Step-by-step explanation:

The cotangent of an angle is the reciprocal of its tangent.

  cot(θ) = 1/tan(θ) = 1/(11/60)

  cot(θ) = 60/11

A group of scientists is conducting an experiment on the effects of media on children. They random
child to one of four treatment groups. Each treatment group has a specific amount of screen time d
no screen time, the second group has two hours of screen time, the third group has four hours of s
screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for
each of the four treatments.
Which statements about this study are true?

Answers

The true statements about the study are:

1) true.

2) true.

3) false.

4) true.

5) true.

How to explain the experiment?

1) This study uses random sampling. This is true, as the children are randomly selected, so there is no bias.

2) This study uses a repeated measures design. It is really important to repeat any given study, and this one does it, so this option is correct. This study was repeated 4 times, so this is true.

3) This study uses blinding. It is when the participants of the study don't know all the important information for the study. Here there is no clarification of blinding being used, so we assume this is false.

4) This study uses blocking. Blocking is when the sample is divided in "blocks" that are similar between them, as you can see, in this study the children are divided in blocks, so this is true.

5) This study uses a control group. The control group would be a group that is left alone and "don't participate" in the experiment, so then the results can be compared after. In this experiment, the control group is the one that has no screen time, so this statement is correct.

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A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.

After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.

Which statements about this study are true?

This study uses random sampling.

This study uses a repeated measures design.

This study uses blinding.

This study uses blocking.

This study uses a control group.

Use the rule x+8 to write a sequence of numbers. Then write the sequence as a list of ordered pairs. Start with and substitute at least six values for .

Answers

Answer:
Here is a sequence of numbers using the rule "x+8":

x+8=9 (x=1)

x+8=10 (x=2)

x+8=11 (x=3)

x+8=12 (x=4)

x+8=13 (x=5)

x+8=14 (x=6)

Here is the sequence of ordered pairs:

(1, 9)

(2, 10)

(3, 11)

(4, 12)

(5, 13)

(6, 14)

PLS HELP ME!! FIND THE PARALLEL LINES!!

PLS HELP ME!! FIND THE PARALLEL LINES!!

Answers

Answer:

F to D and A to E

Step-by-step explanation:

if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)

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