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Flauer [41]
3 years ago
15

If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube i

n exponential form?
Mathematics
2 answers:
VMariaS [17]3 years ago
8 0
The expression for finding the volume of a cube is s^3 in this case it is 16^3 or 16*16*16
Vikentia [17]3 years ago
6 0

Answer:

16 x 16 x 16

Step-by-step explanation:

when calculating the volume of a square you need to do L x W x H. Since a square has all equal sides then we have to do 16 x 16 x 16 (exponetinal form)

Hope this helped :)

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What is the difference between (Picture 1) and (picture 2)? A. 0 B. 2 C. 5 D. 6
Vesnalui [34]

Answer:

The difference between the picture is 0  , option A .

Step-by-step explanation:

Given two figures as :

In figure A

The expression is 1 + 3 n  , where n lies from 0 to 4

So , let f (n) = 1 + 3 n

Or,f ( n ) = 1 + 3 ×0 = 1 + 0 = 1

    f ( 1 ) = 1 + 3 ×1 = 1+ 3 = 4

   f ( 2 ) = 1 + 3 ×2 = 1+ 6 = 7

   f ( 3 ) = 1 + 3 ×3 = 1+ 9 = 10

   f ( 4 ) = 1 + 3 ×4 = 1+ 12 = 13

so, summation of ( 1 + 3 n ) from n = 0 to 4  = 1 + 4 + 7 + 10 + 13 = 35

In figure B

The expression is 3 i - 5  , where i lies from 2 to 6

So , let g (i) = 3 i - 5

Or,g ( 2 ) = 3 ×2 - 5 = 6 - 5 = 1

    g ( 3 ) = 3 ×3 - 5 = 9 - 5 = 4

   g ( 4 ) = 3 ×4 - 5 = 12 - 5 = 7

   f ( 5 ) = 3 ×5 - 5 = 15 - 5 = 10

   f ( 6 ) = 3 ×6 - 5 = 18 - 5 = 13

so, summation of ( 3 i - 5 ) from i = 2 to 6  = 1 + 4 + 7 + 10 + 13 = 35

So, The difference between the summation of functions f(n) - g(i) is

f(n) - g(i) = 35 - 35

I.e  f(n) - g(i) = 0

Hence The difference between the picture is 0  , option A .  Answer

4 0
3 years ago
At a raffle, 1500 tickets are sold at $2 each. There are four prizes given for $500, $250, $150, and $75. You buy one ticket. Us
wolverine [178]

Answer:

<u>The expected value of every ticket is a loss of $ 1.35</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets sold at the raffle = 1,500

Price of each ticket = $ 2

Total prizes = 1 * $ 500 + 1 * $ 250 + 1 * $ 150 + 1 * $ 75

2. Use a probability distribution table to calculate the expected value of your gain. Your expected value is_____ ?

Let's answer the question using a probability distribution for the gains, this way:

  • Probability of 1st prize of $ 498 (500 - ticket) = 1/1,500
  • Probability of 2nd prize of $ 248 (250 - ticket) = 1/1,500
  • Probability of 3rd prize of $ 148 (150 - ticket) = 1/1,500
  • Probability of 4th prize of $ 73 (75 - ticket) = 1/1,500
  • Probability of losing $ 2 (ticket) = 1,496/1,500

Now, we calculate the mean for all the tickets (winners and non-winners), this way:

Expected value = [(1,496 * -2) + (1 * 498) + (1 * 248) + ( 1 * 148) + ( 1 * 73)]/1,500

Expected value = [- 2,992 +498 + 248 + 148 + 73)/1,500

Expected value = -2,025/1,500 = - 1,35

<u>The expected value of every ticket is a loss of $ 1.35</u>

8 0
3 years ago
Determine the intercepts of the line.
Fudgin [204]

Answer:

x-int = (-40,0)

y-int = (0,15)

Step-by-step explanation:

:D

7 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Zina [86]
I believe the answer is the last on KJM and KJH
5 0
3 years ago
A pet store donated a percent of every sale to hospitals. The total sales were $8,750 so the store
Salsk061 [2.6K]

Divide the amount donated by total sales then multiply by 100.

350 / 8750 = 0.04

0.04 x 100 = 4%

5 0
3 years ago
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