The time it takes for an object stopped from a certain speed can be modeled by the equationt=1/2 square root v, where v is the speed of object in meters per second. if it takes 3 seconds for the object to stop, what is the speed of object in meters per second?

Answers

Answer 1

Answer: Given:
t = 1/2 √v
v = speed of object meters per second

t = 3 seconds

3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v

v = 36 meters per second

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The ordered pair (2, 36) is a solution for which equation(s)? Check all that apply. A. y = (x + 4)2B. y = 7x2 + 2C. y = (3x)2D. y = 2x2
Tell me the answer please
17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack?
Find the value of k such that (k, k) is equidistant from (−2, 0) and (0, 5). k =____

If 1+4=5, 2+5=12, 3+6=21 then 8+11=?

Answers

In this pattern, 8+11= 8+11 + 77 (the previous answer) = 96
As you go to the next step in the pattern, you add the previous answer as well, so:
1+4=5
2+5= 2+5+5= 12
3+6= 3+6+12 = 21
4+7= 4+7+21 = 32
5+8= 5+8+32 = 45
6+9= 6+9+45 = 60
7+10= 7+10+60 = 77
So 8+11= 8+11+77 +96

I'm not sure how to write this mathematically as such, only in a logical way, but I hope it helps!

Evan will spend $835.90 for new carpeting. He has $765.00 in the account linked to his debit card. The bank charges $5 penalty fee, per day, for using his debit card to make purchase if he doesn't have enough funds in his account. What will he pay altogether if he chooses to use his debit card and doesn't put any more money in his account for 3 days?

Answers

Either way, he still has to pay his 835.90. the additional fee is 5 per day and he does'nt pay the rest in 3 days so thats $15.

$835.90 + 15 = $850.90

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2 Which of the following functions best represents the graph?

f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8

Answers

Based on the given intercepts, the factors of the polynomial are
f(x) = (x-2)(x+1)(x-2)
Multiplying the binomials would give us the correct answer. Multiplying the first two,
f(x) = (x2 - x - 2)(x-2)
Then multiplying the result with other binomial,
f(x) = x3 + x2 - 4x - 4

Using the Factor Theorem, the function that best represents the graph is given by:

f(x) = x³ + x² - 4x - 4.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots $x_1, x_2, \codts, x_n$ is given by:

$f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)$

In which a is the leading coefficient

In this problem, we consider a = 1, and the roots are the x-intercepts $x_1 = -2, x_2 = -1, x_3 = 2$ , hence:

f(x) = (x + 2)(x + 1)(x - 2)

f(x) = (x² + 3x + 2)(x - 2)

f(x) = x³ + x² - 4x - 4.

More can be learned about the Factor Theorem at brainly.com/question/24380382

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What are the solution(s) to the quadratic equation x2 – 25 = 0?x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution

Answers

For this case we have the following polynomial:

We can solve the polynomial by factoring.

We have then:

From here, we clear the solutions of the equation.

Solution 1:

Solution 2:

Answer:

the solutions to the quadratic equation x ^ 2 - 25 = 0 are:

x = 5 and x = -5

If you would like to find the solutions to the quadratic equation x^2 - 25 = 0, you can do this using the following steps:

x^2 - 25 = 0
(x + 5) * (x - 5) = 0
x^2 - 5x + 5x - 25 = 0
1. x = - 5
2. x = 5

The correct result would be x = 5 and x = –5.

Of the following numbers ,which one is prime,32,42,29,15!

Answers

only 29,
32,42,15 have more than 2 factors.

Of the following numbers, which one is prime: 32, 42, 29, 15?A. 29

Corey collection 4pound of newspaper on day 1after day one he collected 4 times the amount on which day did he first collect over a 1000 pounds of new paper

Answers

Answer:

Fifth Day (1024 pounds)

Step-by-step explanation:

For every subsequent day, he collected 4 times the previous day.

This increase is a ratio/product, therefore the sequence is a geometric sequence.

The nth term of a geometric sequence, $U_n=ar^(n-1)$

Where:

a=first term

r=common ratio

n=number of terms

Corey collected 4 pounds of newspaper on day 1., a=4

After day one he collected 4 times the amount and for every subsequent day, he collected 4 times the previous day. r=4

We want to determine on which day he will first collect over a 1000 pounds of new paper.

$U_n=1000\n4 X 4^(n-1) =1000\n4^(n-1)=250$

In order to apply law of indices, we look for the next term greater than 250 which is an index of 4.

$4^(n-1)>256>250\n4^(n-1)>4^4\nn-1>4\nn>4+1\nn>5$

Therefore on the fifth day, he will collect an amount over 1000 pounds, precisely 1024 pounds.

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