A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?

Answers

Answer 1

Answer:

Isolate the variable and simplify.

Step-by-step explanation:

13h = 109.2

h = 109.2 ÷ 13

h = 8.4

Your answer would be 8.4 units.

Don't forget units! :)


Related Questions


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?

Answers

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer: she bought five spoons & four forks.

Explanation: 4 x 4= 16 + 6 x 4 = 24 + 4 = $44 or 4 x 5 = 20

How does the expression |9 -(-5)| relate to the numbers
-5 and 9 on the number line?

A) The expression shows that 9 is greater than -5.

B)The expression shows that -5 is to the left of 0
and 9 is to the right of 0 on the number line.

C) The expression represents the sum of -5 and 9.

D)The expression represents the distance between
-5 and 9 on the number line.

Answers

Answer:

to me B makes the most sense

Step-by-step explanation:

hope this helps :)

_________________________ 6​Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel​£150 Hotel​£50 for each day Spending money​£250 Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer: $3,000

Step-by-step explanation:

The cost for a single person is:

Travel      £150

Hotel       £50 for each day

Spending money       £250

Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:

= 150 + (50 * 7) + 250

= 150 + 350 + 250

= $750

There are 4 people so the total cost will be:

= 750 * 4 people

= $3,000

Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?

Answers

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

help me please, i don’t get it loll

Answers

Answer:

subtract to find A

Step-by-step explanation:

You have to subtract and then that number that you get is a

2x = 2y - 6 and y = x - 2

Answers

Answer:

2x=2y-6 equals x-y=-3 and y=x-2 equals x=2

Step-by-step explanation:

i hope this helps

I NEED HELPPPPP ASAPPPPPPP

Answers

true

Step-by-step explanation:

it's at an equal distance

4. The Barber's have a circular flowerbed in their front yard. The want to put fertilizer
on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of
fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover
half of the flowerbed?

Answers

Answer:

Wait what

Step-by-step explanation:

Answer:

2 bags

Step-by-step explanation:

Circumference is:

C = πr

Then the radius:

r = C/π = 8.5/3.14 = 2.7 ft

The area:

A = πr² = 3.14*2.7²= 22.89 ft²

Half of the area:

22.89/2 = 11.445 ft² ≈ 12 ft² rounded up

Fertilizer needed:

12/6 = 2 bags

eighteen is equal to the product of a number (n) and 9

Answers

eighteen is equal to the product of a number 9 and 9

Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4

Answers

Answer:

[tex]\displaystyle f'(4) = 63[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]  

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]:                              [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]:                                                                    [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute:                                                                            [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²):                                                     [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x):                                                      [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms:                                                           [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor:                                                                                 [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify:                                                                               [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate:                                                                                                 [tex]\displaystyle f'(x) = 14x + 7[/tex]

Step 3: Find Slope

Substitute in x:                                                                                                [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply:                                                                                                           [tex]\displaystyle f'(4) = 56 + 7[/tex]Add:                                                                                                                  [tex]\displaystyle f'(4) = 63[/tex]

This means that the slope of the tangent line at x = 4 is equal to 63.

Hope this helps!

Topic: Calculus AB/1

Unit: Chapter 2 - Definition of a Derivative

(College Calculus 10e)

What is the slope of y = -4?

Answers

Answer:

0

Step-by-step explanation:

The line is horizontal.

Answer:   slope = 0

Explanation:

Think of y = -4 as y = 0x+(-4)

We see that the equation matches the form y = mx+b

m = 0 = slope

b = -4 = y intercept

Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.

(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answers

Answer:

[tex]\frac{2}{81}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]

To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then

a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]

HELP PLEASE CHECK MY ANSWER!!!

Answers

Answer:

its almost correct but its just a little bit off

Step-by-step explanation:

1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.

2. on the left side its going to be right before -2.

3. on the bottom its going to be moved down to -18 and a little bit out going to the right.

the picture is right there hope it helped

2/5 divided by 4 and reduce the answer

Answers

Answer:

1/10 i guess

Step-by-step explanation:

2/5=0.4

0.4/4=0.1

0.1=1/10 (one tenth_

Answer:

1/10

Step-by-step explanation:

2/5 ÷4 is the same as 2/20, which is 1/10

6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour

Answers

Sorry I have the same one and I am waiting to someone solve yours

Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?

Answers

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

WHAT IS THE VALUE OF X PLEASE HURRY!!!!

Answers

Answer:

I think 48, since it's an equilateral triangle.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

cuz its a equilateral triangle

solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3

Answers

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

use inverse trig to find x

=x=41.8

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

can you help me please ​

Answers

Answer:

25/6

Step-by-step explanation:

what is equivalent to k/2​

Answers

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

Find the length of x.

Answers

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

pls answer i need the answer

Answers

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

15 pints because 2 questions

Answers

Answer:

1.its B

2.G

Step-by-step explanation:

Find the product.
10(-7)

Answers

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

-70 (multiply what’s in the parenthesis and since there’s only one negative number in your problem it’s negative

I need help with this. Please!

Answers

72




Add them all up = 48+9+15

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

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