Mateo has 5 pints of cherries . He dividez them into 1/4 pint servings. How many servings doez he make?

a circular dog pen has a circumference of 78.5 feet. approximate by 3.14 and estimate how many hunting dogs could be safely kept

olasank [31]

Answer:

8

Step-by-step explanation:

To solve this problem, we need to find the area of the pen, then divide that by the area required by each dog.

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The relationship between circumference and radius is ...

C = 2πr

Solving for r gives ...

r = C/(2π)

The relationship between radius and area of a circle is ...

A = πr²

Substituting for r from above gives ...

A = π(C/(2π))² = C²/(4π)

Filling in the given numbers, we find the area of the pen to be ...

A = (78.5 ft)²/(4·3.14) = 490.625 ft²

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Dividing the pen area by the area per dog gives the number of dogs the pen can hold:

(490.625 ft²)/(60 ft²/dog) ≈ 8.18 dogs

The pen can safely keep 8 dogs.

7 0

3 years ago

Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end be

MaRussiya [10]

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

$f(x) = \frac{8x - 1}{2x - 9}$

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

$\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} \frac{8x}{2x} = \lim_{x \rightarrow -\infty} 4 = 4$ .

$\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{8x}{2x} = \lim_{x \rightarrow \infty} 4 = 4$ .

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

#SPJ1

7 0

2 years ago

Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis

Lesechka [4]

Answer:

The limit of the function does not exists.

Step-by-step explanation:

From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.

For x<2

$f(x)=6$