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3 years ago

13

Determine the stopping distance of a car with an initial speed of 29.97 m/s, a human reaction time of 1s, and an acceleration of

-4 m/s^2.

2 answers:

Rudik [331]3 years ago

8 0

Answer:

5/18 m/s?

Step-by-step explanation:

deff fn [24]3 years ago

6 0

Answer:

Step-by-step explanation:

is that the qustion

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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 <em>n</em> = 25 students.

Officers need to be elected for four positions:

President, Vice-President, Secretary, and Treasurer.

<em>k</em> = 4

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

The formula to compute the combinations of <em>k</em> items from <em>n</em> 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

Can someone please explain how to factor 8x + 20?

anastassius [24]

Find a common multiplier between both which would be 4. then divide each term by 4. all you have left stays in the parenthesees.

4 (2x+5)

6 0

3 years ago

A set of input and output values, such that each input has one or more outputs, is called a

Ainat [17]

Answer:

function

Step-by-step explanation: A function is the one where you put an input to find x or y

5 0

3 years ago

URGENT, PLZ HELP ASAP! TYSM! Plz help solve without using algebra plz, my teacher wouldn’t allow us to use it.

d1i1m1o1n [39]

First, divide 4960 by 3 and assign the answer to all three containers. Then, subtract 4 from L and add 4 to J.

$4960/3=1653.3$
$J=1657.3$
$K=1653.3$
$L=1649.3$

3 0

3 years ago

Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a

satela [25.4K]

Answer: She needed 144 square feet of carpet.

Step-by-step explanation:

Given : Maria is buying new carpet. Her bedroom is in the shape of a square.

The length of each side is 12 feet.

We know that the area of square = $(side)^2$

So , the area of the bedroom = $(12)^2$ [which is an exponential expression]

Simplify it

The area of the bedroom = $12\times12=144\ \text{ft}^2$

Also, the carpet she needed = Area of the bedroom.

Thus , She needed 144 square feet of carpet.

4 0

3 years ago