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Nikolay [14]
2 years ago
9

Find the surface area of a cylinder with a height of 8 ft and a base radius of 5 ft.

Mathematics
1 answer:
Maksim231197 [3]2 years ago
7 0

Answer: 408.2 ft^2

Step-by-step explanation:

A=2πrh+2πr2

A=2(3.14)(5)(8)+2(3.14)(5)^2

A=6.28*40+6.28*25
A=251.2+157

A=408.2 ft^2

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
julsineya [31]

Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

4 0
3 years ago
Need help with number 2
salantis [7]
HHUBUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUUHUHUHUHUHUHUHU
7 0
3 years ago
suppose marcus delivers papers at a rate of 9 papers in 18 minutes.How much longer would it take him to deliver 100 papers than
arlik [135]


We need to write the following expression and solve for x:

9/18 = 100/x

So: 9x = 1800

x = 200

So it would take him 200 minutes to deliver 100 papers.

We do the same for 72 papers

9/18 = 72/x

so 9x = 1296

and x = 144

It would take him 144 minutes to deliver 72 papers.

4 0
3 years ago
The taxi fare in a city is as follows: For the first kilometer, the
Ksju [112]

Answer:

The linear equation is y = 6 x + 9

The graph is attached down

Step-by-step explanation:

The given information:

The cost of 1st km is 9 Rs

The cost of every kilometer after the first is 6 Rs

x represents the number of km

y represents the total cost of x km

The form of the linear equation is

y = m x + b, where

  • m is the slope of the line (rate of change)
  • b is the y-intercept (initial value)

From the given information above

m = 6 Rs/km

b = 9 Rs

Substitute them in the form of the equation

y = 6 x + 9

The graph:

3 0
3 years ago
Complete the square for 3x^2-12x=9
larisa [96]

Answer:

The solutions are -0.65 and 4.65.

Step-by-step explanation:

3x^2 - 12x = 9

Divide both sides by 3

x^2 - 4x = 3

To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2.  So add 4 to both sides.

x^2 - 4x + 4 = 7

(x-2)^2 = 7

x - 2 = (square root) of 7

x = 2 (+/-) (square root) of 7.

x = {-0.65, 4.65}

The solutions are -0.65 and 4.65.

hope this helps:)sorry if it doesnt

8 0
3 years ago
Read 2 more answers
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