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3 years ago

What does it mean in this situation if the average rate of change is negative?

Mathematics

2 answers:

Ivahew [28]3 years ago

8 0

Answer:

B on edge 2020

Step-by-step explanation:

WARRIOR [948]3 years ago

5 0

It means that it is a rate that is decreasing or declining.

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Two sides of a triangle are 5 and 55 cm. Complete the inequality to show the possible lengths of the third side. If the third si

belka [17]

The third side of the triangle falls between (50, 60).

<h3>How to find the third side of a triangle?</h3>

Inequality triangle theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the other two sides are 5 cm and 55 cm. The range of the third side x can be computed using inequality triangle theorem.

Hence,

x < 5 + 55

x < 60

And,

x > 55 - 5

x > 50

Therefore, 50 < x < 60.

Hence, the third side of the triangle falls between (50, 60).

learn more on triangle here: brainly.com/question/1163433

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8 0

1 year ago

The senior class at a very small high school has 25 students. Officers need to be elected for four positions: President, Vice-Pr

kirill115 [55]

Answer:

(a) The total number of ways to select 4 officers from from 25 students is 12,650.

(b) The total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

Step-by-step explanation:

(a)

It is provided that there are a total of n = 25 students.

Officers need to be elected for four positions:

President, Vice-President, Secretary, and Treasurer.

k = 4

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of ways to select 4 students from from 25 as follows:

${25\choose 4}=\frac{25!}{4!(25-4)!}$

$=\frac{25!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22\times 21!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22}{4\times 3\times 2\times 1}\\\\=12650$

Thus, the total number of ways to select 4 officers from from 25 students is 12,650.

(b)

It is provided that of the 25 students, there are 13 girls and 12 boys in the class.

For the post of President and Treasurer only girls are selected.

For the post of Vice-President and Secretary only boys are selected.

Compute the number of ways to select 2 girls for the post of President and Treasurer as follows:

${13\choose 2}=\frac{13!}{2!(13-2)!}$

$=\frac{13!}{2!\times 11!}\\\\=\frac{13\times 12\times 11!}{2!\times 11!}\\\\=\frac{13\times 12}{ 2\times 1}\\\\=78$

Compute the number of ways to select 2 boys for the post of Vice-President and Secretary as follows:

${12\choose 2}=\frac{12!}{2!(12-2)!}$

$=\frac{12!}{2!\times 10!}\\\\=\frac{12\times 11\times 10!}{2!\times 10!}\\\\=\frac{12\times 11}{ 2\times 1}\\\\=66$

The number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is:

${13\choose 2}\times {12\choose 2}=78\times 66=5148$

Thus, the total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

7 0

3 years ago

What is the answer to (2a + 3)??

Alekssandra [29.7K]

Answer:

the answer is 3

Step-by-step explanation:

first you isolate the variable and then add or subtract:))

6 0

3 years ago

F(x) = (2x² – 3)^(-2a? – 9)11

Sonbull [250]

Answer:

-44ax^2-198x^2+66a+297

Step-by-step explanation:

there

5 0

3 years ago

A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65m/s in 5 seconds what

artcher [175]

The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.

These "changes" are indicated with the capital greek letter delta, $\Delta$ , and when you write $\Delta x$ you mean the difference between the finial and the inital values of the variable x:

$\Delta x = x_{\text{fin}} - x_{\text{init}}$

So, the acceleration is defined as

$a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}$

In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have

$a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6$ m/s^2

3 0

3 years ago

Read 2 more answers

What does it mean in this situation if the average rate of change is​ negative?

What does it mean in this situation if the average rate of change is negative?