A polynomial multiples by a polynomial is a polynomial

Answers

Answer 1

Answer:

A polynomial multiple by a polynomial is always a polynomial. The given statement is true.

What are polynomials?

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.

The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.

Thus, A polynomial multiples by a polynomial is always a polynomial.

Learn more about polynomials;

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Answer 2

Answer: When two polynomials are multiplied, each term of the first polynomial is multiplied by each term of the second polynomial. ... The result is always a polynomial, regardless what the coefficients might be of any of the terms, including the leading coefficients.

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Find the area of the shaded segment of the circle. (Round your answer to the nearest hundredth). (7.4 Segment of a Circle)

Answers

Answer: 353.77

Step-by-step explanation:

Let's start by considering the sector ACB.

The area of this sector is $\pi \cdot 24^(2) \cdot (120)/(360)=192\pi$

Now, let's consider the area of triangle ACB. Its area is given by:

$(1)/(2) \cdot 24 \cdot 24 \cdot \sin 120^(\circ)=144√(3)$

So the area of the shaded segment is $192\pi -144√(3) \approx 353.77$

A particular salad contains 4 units of vitamin A, 5 units of vitamin B complex, and 2 mg of fat per serving. A nutritious soup contains 6 units of vitamin A, 2 units of vitamin B complex, and 3 mg of fat per serving. If a lunch consisting of these two foods is to have at least 10 units of vitamin A and at least 10 units of vitamin B complex, how many servings of each should be used to minimize the total number of milligrams of fat

Answers

Answer:

2 servings of salad and 1 serving of soup

Step-by-step explanation:

In the given scenario the aim is to minimise the fat content of the food combination.

Fat content of soup is 3mg while fat content of salad is 2 mg.

Using Soup as 0 and Salad as 2 will not give the required vitamin content

The logical step will be to keep servings of soup to the minimum.

Let's see some combinations of salad and soup. Keeping serving of soup to the minimum of 1

1. 1 serving of salad and one serving of soup will contain 10 mg of vitamin A, 7 mg of vitamin B complex, and 3 mg of fat.

This will not work because amount of vitamin B complex is not up to 10 mg

2. 2 servings of salad and 1 serving of soup. Will contain 14 mg of vitamin A, 12 mg of vitamin B, and 7 mg of fat

This is the best option as we have amount of vitamin A and vitamin B complex in adequate quantity.

Also fat is lowest in this combination because soup the food with highest fat content is at minimum amount of one serving

A zoo has a circular pool for its seals. The diameter of the pool is 32 feet. How much fence is needed to enclose the pool?

Answers

Answer:

The answer is $32 \pi\ feet$ or $100.53\ feet$

Step-by-step explanation:

we know that

To calculate how much fence is needed to enclose the circular pool, find the circumference of the circular pool

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter of the circle

In this problem we have

$D=32\ feet$

Substitute

$C=\pi (32)=32 \pi\ feet$

$C=32 \pi\ feet=100.53\ feet$

Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club has 28 members. How many ways are there to choose four members of the club to serve on an executive committee? Numeric Response nces

Answers

Answer:

491400

Step-by-step explanation:

Given : A club has 28 members.

To Find : . How many ways are there to choose four members of the club to serve on an executive committee?

Solution:

We are supposed to choose four members of the club out of 28.

So, we will use combination

Formula : $^nC_r=(n!)/(r!(n-r)!)$

n = 28

r = 4

Substitute the values :

$^(28)C_(4)=(28!)/(4!(28-4)!)$

$^(28)C_(4)=(28 * 27 * 26 * 25 * 24!)/(4!(24)!)$

$^(28)C_(4)=(28 * 27 * 26 * 25 * 24)/(4 * 3 * 2 * 1)$

$^(28)C_(4)=491400$

Hence there are 491400 ways o choose four members of the club to serve on an executive committee

Why is the following an equation? 4(52 − 1) = 96 A. It contains a variable. B. It contains parentheses. C. It contains more than one operation. D. It contains an equals sign.