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3 years ago

A flower pot, in the shape of a cylinder,l has a circumference of 66 in. and a height of 30 in.

1 answer:

6 0

The amount of soil that the pot can hold is best approximated by calculating for the volume of the cylinder through the equation,
V = πr²h
We first calculate for the radius, r, given the circumference, C
C = 2πr; r = C/2π = 66 in/2(π) = 10.5 in
Then, substituting the known values.
V = π(10.5 in)²(30 in)
V = 10,390.81 in³
Thus, the volume of the soil is approximately 10,400. The answer is the third set.

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

3 years ago

Which of these is an exponential parent function? A. f(x) = 2^x – 3 B. f(x) = 2^x + 2 C. f(x) = 2^x D. f(x) = 2^x + 1/3

anygoal [31]

An exponential parent function is the option C. f(x)= $2^{x}$ , from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = $b^{x}$ , where b is any non zero constant. Below is a graph of the parent function, y = $e^{x}$ , which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3

B. f(x) = 2^x + 2

C. f(x) = 2^x

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= $2^{x}$ .

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

4 0

1 year ago

Find the slope of the tangent line to the graph of the function at the given point.

rodikova [14]

Well, we see that it is a straight line
so the derivitive would be perpendicular
5/4 times what=-1
-4/5

the slope is -4/5

7 0

3 years ago

A square pyramid has a height of 12 feet. Each side to of base is 7 feet long. use the following formula to calculate the pyrami

MissTica

Let's find the area of the base first:
7×7=49
The S stands for the sides of the base. Since you are multiplying them by each other, you are basically squaring them.

Let's now multiply the area of the base by the height.
49×12=588

Now, let's multiply by 1/3.
588×1/3 or 588÷3
196

So, the volume is 196 ft³.

4 0

3 years ago

Complete the missing parts of the

Alex787 [66]

Answer:

y=1

Step-by-step explanation:

the missing parts of the table

6 0

3 years ago