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Kruka [31]
2 years ago
8

A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct

ion of m, the number of minutes elapsed.
Mathematics
1 answer:
Agata [3.3K]2 years ago
4 0

Answer:

V(m) = (2 + 5m)^3

Step-by-step explanation:

Given

Solid Shape = Cube

Edge = 2 feet

Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

<em>This implies that,the edge will increase by 5m feet in m minutes;</em>

Hence,

New\ Edge = 2 + 5m

Volume of a cube is calculated as thus;

Volume = Edge^3

Substitute 2 + 5m for Edge

Volume = (2 + 5m)^3

Represent Volume as a function of m

V(m) = (2 + 5m)^3

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A.A∪ B is real numbers

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Area of parallelogram
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The formula for the area of a parallelogram is base times height or bh.

There's a formula sheet on Khan Academy:
https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/parallelogram-area/a/area-of...
5 0
2 years ago
Read 2 more answers
5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps
Inessa05 [86]

Answer:

$1.94 times 11 =21.34

Step-by-step explanation:

  So 5 rubber stamps cost $9.70. Your going to divide $9.70 by 5 so you get the cost of each stamp which is $1.94 each stamp. Your going to take $1.94 and multiply it by 11. You will get 21.34. :D Hope i helped you c: By the way this is the simplified version of the equation so i dont know if you want a longer version of the answer but ya! :D

3 0
2 years ago
Read 2 more answers
The stem-and-leaf plot below shows the number of pages each student in the class read the previous evening. A stem and leaf plot
Tatiana [17]

Answer:

75% students read less than 35 pages.

Step-by-step explanation:

The stem and leaf plot is given below

0    |   5   0   5   8  

1     |   2   3   5   8   8   9

2    |   2   4   6   7   7   7

3    |   3   5   6

4    |   2   4   6

5    |   7

Count the students in each row.

Row 1 = 4 students

Row 2 = 6 students

Row 3 = 6 students

Row 4 = 3 students

Row 5 = 3 students

Row 6 = 1 student

Total students = 23 students

75% of 23 students = 0.75/100 · 23 = 12.25 students

75% of 23 students ≅ 17 students

From the stem and leaf plot, 17th student read 33 pages while 18th student reads 35 pages.

Which means

75% students read less than or equal to 33 pages.

OR

75% students read less than 35 pages

6 0
2 years ago
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Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin
vovangra [49]

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

3 0
2 years ago
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