A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.

Answer:

hope this helps

The solution is 3,27,680

The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the geometric sequence be a₁ = 20

Let the second term a₂ = 80

So , the common ratio r = second term / first term

On simplifying the equation , we get

Common ratio r = 80/20

Common ratio r = 4

Now , the explicit formula for the GP is

aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours

aₙ = 20 ( 4 )ⁿ⁻¹

So , after 8 hours ,

Substitute the value of n = 8 in the equation , we get

a₈ = 20 ( 4 )ⁿ⁻¹

a₈ = 20 ( 4 )⁷

a₈ = 3,27,680

Therefore , the value of a₈ = 3,27,680

Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹

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Answer:

I believe it is 18

Step-by-step explanation:

If you write out the count by's then the last number they both have in common is 18.

Hope this helps, have a wonderful day!

Answer:

B

Step-by-step explanation:

a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)

Right off the bat we can eliminate answer choice C because the line is not straight

the answer is not a nor d

the line may be straight but it does not go through the origin therefore it is not a proportional relationship

B makes a straight line and the line goes through the origin therefore B is the answer

Answer:

8

Step-by-step explanation:

taking my points back because you answered with spam.

your answer is C

your answer is C

your answer is C

your answer is C

your answer is C

Answer:

C

Step-by-step explanation:

2x+5=13

2x+5-5=13-5

2x=8

2x/2=8/2

X=4

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

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Answer:

A.) 12x+15x=120

B.) 5 sweatshirts

Step-by-step explanation:

A.)  Let x=T-shirts

     Let y= Sweatshirts

B.)  12x+15x=120

     12(5)+15x=120

      60 +  15x=120

    -60            -60

________________

            15x=104

           ___   ____

            15        15

___________________

               x=6.93333*

*Round it down to 5

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

Answer:

35%

Step-by-step explanation:

$28 less.

28 is 35% of 80. (28/80 = 0.35 which is 35%)

the percent markdown is 35%

Answer:

area = 6 units²

perimeter = 10.06 units

Step-by-step explanation:

area = 1/2bh

area = 1/2(4)(3) = 6 units²

perimeter = 4.123 + 2.236 + 4.243 = 10.06 units

Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

Answer:

8×p≈c

Step-by-step explanation:

Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.

Answer:

[tex]5 \div 6 \times 5 = 25\div 6[/tex]

The solution is, 0.39 = 39% of probability.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

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Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer:

37 cubic cm should be the answer sorry if I am wrong

Answer:

A

Step-by-step explanation:

Answer:

-57

Step-by-step explanation:

f(-8)=6(-8)-9

f(-8)=-48-9

f(-8)=-57

Answer:

4.6

Step-by-step explanation:

the first equation will be y=1.2x+4.6

the second will be y=0.8x+54.6

then i plugged the system of equations and that was where they met at :)

Answer:

for sure B

Step-by-step explanation:

Given:

In an arithmetic sequence,

[tex]a_1=2[/tex]

[tex]a_i=a_{i-1}-3[/tex]

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

[tex]a_i=a_{i-1}+d[/tex]         ...(i)

Where, d is the common difference.

We have,

[tex]a_i=a_{i-1}-3[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]d=-3[/tex]

The sum of first i terms of an arithmetic sequence is:

[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]

Putting [tex]i=335,a=2,d=-3[/tex], we get

[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]

[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]

On further simplification, we get

[tex]S_{335}=335\times (-499)[/tex]

[tex]S_{335}=-167165[/tex]

Therefore, the sum of the first 335 terms in the given sequence is -167165.

Answer:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Answer:

a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

Step-by-step explanation:

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

5x - 1

Step-by-step explanation:

i don't know hw to explain it but that's the answer