A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

Answers

Answer 1

Answer:

Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width

[tex]h[/tex] - Height

[tex]l[/tex] - Length

If dimensions are doubled, then volume is increased in a factor of 8:

[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]

[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]

[tex]V_{f} = 8 \cdot V_{o}[/tex]

The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].


Related Questions

Solve for a,b,and/or c
Help solve ASAP!

Answers

Answer:

a=90-67=23°

.................

I really just need a simple STEP-BY-STEP explanation on how you do percentages.

Answers

Can you please elaborate on what kind of percentages?

Rewrite as a simplified fraction.
0.1 with the 1 repeating

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9} =0.111111111111111111[/tex]

What is (7p + 6) - (9p - 7)?

Answers

Answer:

-2p +13

Step-by-step explanation:

(7p + 6) - (9p - 7)

Distribute the minus sign

(7p + 6) - 9p + 7

Combine like terms

7p -9p   +6 +7

-2p +13

Answer:

-2p + 13

Step-by-step explanation:

Distribute the -1 to (9p - 7):

7p + 6 - 9p + 7

Add like terms (7p and -9p, 6 and 7):

-2p + 13

1567÷135

plz help 50 points ​

Answers

Answer:

11.60740741

Step-by-step explanation:

Answer:

11.6074074074

Step-by-step explanation:

There are 12 inches in 1 foot. Write 75 inches in feet and inches

Answers

84/12 is 7 so it’s 7 feet and to find out how many inches, you have to subtract 84-75 which is 9 that that’s 9 inches

7 feet and 9 inches

Answer:6.25

Step-by-step explanation:

Simplify 3 + 5(x - 4)

Answers

Answer:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17

can someone assist me on this​

Answers

Answer:

The perimeter of the triangle would be 21.2. The area would be 18 ft^2

Step-by-step explanation:

Hope this helps :)

Attached is the work I did to get the answers

The perimeter would be 21.2 and 18 ^2 feat would be the area correct me if I’m wrong

Need help with this..

Answers

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

Using the numbers 4.3, -1.07, and -2.971, write an expression containing both addition and subtraction that simplified to a positive number.​

Answers

Answer:

4.3 + (-1.07)+(-2.971)

Step-by-step explanation:

4.3 + (-1.07)+(-2.971)

4.3 -1.07-2.971

4.3 - 4.041= 0.259

What is the slope (m) and y- and y-intercept (b) of the equation y = -4x + 6

Answers

Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line

This linear equation has a slope equal to -4 since it's

the coefficient of the number in front of your variable.

This equation has a y-intercept that is equal to 6 since it's

in the place of the b in the equation y = mx + b.

Solve for e.
9e + 4 = -5e + 14 + 13e

Answers

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

please help me. how do you do this?​

Answers

Explanation:

Each "square" in the table has two lines. The top line matches the label of the degree of the polynomial. The bottom line matches the name for the number of terms.

Where one or the other is missing, fill it in according to the description above.

For example, the "square" in the lower right corner will say ...

  quartic

  trinomial

The measure of an angle is 7º. What is the measure of its complementary angle?

Answers

Answer:

83°

Step-by-step explanation:

A complementary angles' measurements will equal 90°. One of the angles = 7°. Subtract 7 from 90:

90 - 7 = 83

83° is the measurement of the complementary angle.

~

Answer:

83°

Step-by-step explanation:

Complementary angles add up to 90° in measurement.

With that in mind:

[tex]90 -7=83[/tex]

The complementary angle would measure 83°.

Brainilest Appreciated!

given h(x)=4x-4, solve for x when h(x)=0

Answers

Answer:

x=1

Step-by-step explanation:

4x-4=0

4x=4

Therefore, x=1

x equals 1 is the answer.The phrase "h (x)" denotes a formula with x serving as its input variable.What does express h in terms of X mean?

Describe using the word x. It simply means to translate the amount you've discovered into the variable x.

Given

h(x)=4x-4

once h(x) = 0

0 = 4x-4

4x = 4

x =4/4

x = 1

The phrase "f (x)" denotes a formula with x serving as its input variable.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.Four main categories can be used to classify different sorts of functions. The following relationships are based on the element: One to One Function, Many to One Function, Onto Function, One to One and Onto Function, Into Function.

To learn more about h in terms of X refer to:

https://brainly.com/question/27250605

#SPJ2

I keep gettin it wrong please help!!!

Answers

Answer:

-5≤ x ≤5 or [-5,5]

Step-by-step explanation:

domain is related to independent variable x

black dots means that number is included in the domain

in this case function is from -5,5 included or -5≤ x ≤5 or [-5,5]

arc length of a half of a circle with radius of 9

Answers

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

Which mixes number is equivalent to the improper fraction 4/3

Answers

Answer:

1 1/3

Step-by-step explanation:

take the denominator and times it to the mixed number.

so 3*1 = 3

then add the numerator to that, so

3 + 1 = 4

making it, 4/3


What percentage of students who take honors English are taking a non-honors math class?

Answers

Answer:

B

Step-by-step explanation:

Took quiz GL

Answer:

the answer is not B

Step-by-step explanation:

the answer is A I actually took the quiz

can someone help me and provide steps, please?

Answers

Answer:

Step-by-step explanation:

Okay so basically what you need to do is find out how much you can take from 360, in this you you would add the two numbers (70+105) and subtract from 360.

Add the numbers and minus it to see how much is it from 360 degrees

A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?

Answers

Answer:

14 or 13 layers

Step-by-step explanation:

Answer:

A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?

5 layers

Lena is 10 years old. She asks her dad how old he is. He tells her that the lcm of their ages is 14 times the hcf of their ages. She knows that her dad is at least 30 years old but younger than 45. Work out how old her dad is.

Answers

Answer:

  35

Step-by-step explanation:

Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.

The LCM will be abx = 14x, so we have ab = 14.

Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...

  a=2, b=7

For a=2 and ax=10, we have x=5.

The dad's age is bx = 7·5 = 35.

After seeing countless commercials claiming one can get cheaper car insurance from an online company, a local insurance agent was concerned that he might lose some customers. To investigate, he randomly selected profiles for 10 of his clients and checked online price quotes for their policies. Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote) and using Excel’s t-test for paired data, he obtained t-statistic = 0.709 p-value = 0.248 Note that the above is based on the difference between his price and online quotes.

What are the null and alternative hypotheses, respectively?

Answers

Answer:

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Step-by-step explanation:

We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.

Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.

Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0    

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.

On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.

Hence, this would be the correct null and alternative hypothesis.

is -18/3 a integer yes or no?

Answers

Answer:yes

Step-by-step explanation:

An integer is a number that can be written without fractional exponent

-18/3=-6 so it is an integer

A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Please show written work for question a to c below. a) Find critical value(s). b) "Find the Margin of Error" c) Find confidence interval for the problem.

Answers

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]

a) 98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]z = 2.327[/tex] is the critical value.

b)

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

So, applying to this question:

[tex]M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065[/tex]

The margin of error is of 0.065.

c) Find confidence interval for the problem.

[tex]\pi - M = 0.3733 - 0.065 = 0.3083[/tex]

[tex]\pi + M = 0.3733 + 0.065 = 0.4383[/tex]

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Simplify the following expression.

(57x + 79) - (-30x + 6)

Answers

Answer:

87x + 73

Step-by-step explanation:

Combine like terms.  Combining the x terms yields 87x; combining the constants yields 73.  Thus, the desired expression is 87x + 73.

Answer:87x+73

Step-by-step explanation:

Distribute the Negative Sign:

=57x+79+−1(−30x+6)

=57x+79+−1(−30x)+(−1)(6)

=57x+79+30x+−6

Combine Like Terms:

=57x+79+30x+−6

=(57x+30x)+(79+−6)

=87x+73

There are 6 seats in the first row of the theater, 9 seats in the second row, and 12 seats in the third row. This pattern continues for each row in the theater. Write a mule for an, the number of seats in the n th row.

Answers

Answer:

the ninth row has 30 seats

Step-by-step explanation:

because the first row started off as six 3 X 9 = 27  but the rule is add three more seat every row but if thee first row started of with six then you have to add 3 more to the ninth row which mean there are 30 seats

The ninth row will have 30 seats exact.

Sara created the poster shown below what would be the dimensions of the poster at 1/4 times it’s current size?
The width is 32 cm and the length is 28 cm

Answers

Answer:

Width: 8cm Length: 7cm

Step-by-step explanation:

Answer:

Length = 7cm, width = 8cm

Step-by-step explanation:

Divide 32 and 28 by 4

The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​

Answers

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

3, 4 and 55, 12 and 139, 40 and 41

Note that in a Pythagorean Triple,

The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

PI is the _ of a circle's _ to its _

Answers

Answer:

ratiocircumferencediameter

Step-by-step explanation:

Pi is the ratio of a circle's circumference to its diameter.

_____

We suspect you have answer choices for filling in these blanks. Besides the words shown above, there are other ways they can be filled:

  Pi is the ratio of a circle's area to its radius squared.

  Pi is the measure of a circle's central angle to its diameter endpoints.

Other Questions
I WILL GIVE BRAINLIEST! Which expression is equivalent to x^4 ? I really just need a simple STEP-BY-STEP explanation on how you do percentages. How to convert a decimal to a fraction What type of growth is characterized by a consistent increase in growth rate?A) Exponential growth B) Carrying capacity growthC) Logistic growth D) Stable growth 2. What is the destination of the EDS? Find the midpoint of the segment with the following endpoints. (6,8) and (10,4) 57:43Which scatterplot shows the strongest negative linear association? All of the following shaped U.S. public opinion about the Vietnam war except:A Growing number of casualtiesB Being told the war was winnable, but seeing kaos on televisionC Anti-war protests throughout the countryD All of the above shaped public opinion Sam doesn't feel like he's being treated fairly by his parents. He wants to stay outlater, but they want his curfew set at 10PM. What is causing this conflict?dispute over resourcesdiffering valuesOpower struggleOmiscommunication Why was Okinawa so important to the US and Japan? What are the ways to regulate blood pressure ?! Help I do not understand Which segregated group was responsible for supporting the allied invasion of Italy and escorting heavy bombers on raids against enemy targets during World War II? *Doolittle RaidersTuskegee AirmenFlying AcesRed Raiders 3 hazards that occur in teaching and learning of science Sara created the poster shown below what would be the dimensions of the poster at 1/4 times its current size?The width is 32 cm and the length is 28 cm Builder Products, Inc., uses the weighted-average method in its process costing system. It manufactures a caulking compound that goes through three processing stages prior to completion. Information on work in the first department, Cooking, is given below for May: Production data: Pounds in process, May 1; materials 100% complete;conversion 90% complete 76,000Pounds started into production during May 410,000Pounds completed and transferred out ?Pounds in process, May 31; materials 60% complete;conversion 40% complete 36,000Cost data: Work in process inventory, May 1: Materials cost$117,900Conversion cost$53,600Cost added during May: Materials cost$613,080Conversion cost$294,700 Required:1. Compute the equivalent units of production for materials and conversion for May.2. Compute the cost per equivalent unit for materials and conversion for May.3. Compute the cost of ending work in process inventory for materials, conversion, and in total for May.4. Compute the cost of units transferred out to the next department for materials, conversion, and in total for May.5. Prepare a cost reconciliation report for May. which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0A.( 8m^7 * n^6)/3B.(10m^7 * n^6)/3C.(8m^16 * n^12)/3D.(m^4 * n^6)/3 arc length of a half of a circle with radius of 9 what is the fraction, 64/388 simplified?