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2 years ago

Find the surface area of a cylinder with a height of 7 ft and a base radius of 2 ft.

Mathematics

1 answer:

Temka [501]2 years ago

8 0

Step-by-step explanation:

If r=2 and h =7 then Surface area= A= 2pi* r* h +2pi *r^2=113.1 ft^2

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Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?

LuckyWell [14K]

From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

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The function (f - g)(x) is given by: $(f - g)(x) = f(x) - g(x)$
Thus, it will be positive if: $f(x) > g(x)$
Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
Thus, (f - g)(x) is positive in the interval (–∞, –2).

A similar problem is given at brainly.com/question/24388889

7 0

2 years ago

Solve the equation v+5/-9 - 4 = -6/8

tamaranim1 [39]

First you simplify both sides of the equation to make v+-41/9=-3/4.

Then add -41/9 to both sides to get the answer which is 137/36

v=137/36

4 0

3 years ago

Propane has a heat energy of 2,470 BTU/ft cubed. How much energy can a propane tank with a volume of 43.7 ft cubed produce?

professor190 [17]

Answer: $107939\ BTU$

Step-by-step explanation:

Given

Propane produced heat energy of $2470\ BTU/ft^3$

The volume of the tank is $43.7\ ft^3$

The energy produced by this propane tank is

$\Rightarrow 2470\times 43.7=107939\ BTU$

4 0

2 years ago

Help with num 9 please. thanks

Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

$f(x) = e^x - e^{-x}$

Increases for all values of <em>x</em>.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

$\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]$

Differentiate:

$\displaystyle f'(x) = e^x - (-e^{-x})$

Simplify:

$f'(x) = e^x+e^{-x}$

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>

8 0

3 years ago

Which of the sets of ordered pairs represents a function?

alexandr1967 [171]

Answer:

The correct option is 4. Neither A nor B represents a function.

Step-by-step explanation:

The given sets of ordered pairs are

$A=\{(1,-5), (8,-5), (8,7), (2,9)\}$

$B=\{(7,-4), (7,-2), (6,-3), (-9,5)\}$

A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.

In set A the value of y-coordinates are -5 and 7 at $x=8$ .

At x=8, there exist more than one value of y, so the set A is not a function.

In set B the value of y-coordinates are -4 and -2 at $x=7$ .

At x=7, there exist more than one value of y, so the set B is not a function.

Therefore neither A nor B represents a function and option 4 is correct.

3 0

2 years ago

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