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3 years ago

11

t is estimated that Americans buy 2.92×1010 bottles of water per year. At this rate, how many bottles of water are purchased by

Americans each day? Express your answer in scientific notation.

1 answer:

Mumz [18]3 years ago

4 0

8<span>×10^7 hope this helped</span>

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The slope formula can be used to prove that a triangle has

OverLord2011 [107]

Answer:

The slope formula can be used to prove that a triangle has

A. Congruent Sides

<u>B. A right angle </u>

C. Parallel sides

D.Congruent angles

Step-by-step explanation:

The formula for finding the slope of a line on a coordinate plane is (y2 - y1) / (x2 - x1), where (x2, y2) and (x1, y1) represent two distinct points on the line. This is also known as "change in y over change in x" or "rise over run."

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Factorize 2x^4-7x^3-13x^2+63x-45 using factor theorem.

zheka24 [161]

Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")

1║2 -7 -13 63 -45
║    2 -5 -18 45
    2 -5 -18 45 0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.

Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")

3║2 -5 -18 45
║    6    3   -45
    2   1 -15    0

Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.

Final Answer: (x-1)(x-3)(x+3)(2x-5)

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3 years ago

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

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3 years ago

Joshua Bennett purchased a television for $245.95 with 40.25% down. He will make 6 payments of $25.83 each. What is the total am

brilliants [131]

(245.95×0.4025)+(6×25.83)=253.97

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If 6-x=2(x-6), what is the value of x? <br> Answer<br> 1. <br> 2. <br> 4. <br> 6.

il63 [147K]

Answer:

6

Step-by-step explanation:

1)6-6=0

2)2(6-6)

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