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3 years ago

11

there are 4750 liters in a hot tub. if 632640 milliliters of water drained out of the hot tub, how many milliliters still remain

in the hot tub?

1 answer:

nataly862011 [7]3 years ago

8 0

There are 6,000 mil liters left

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What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?

Svetllana [295]

<u>Given:</u>

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is $4 x-6 y=15$

We need to determine the equation of the line.

<u>Slope</u>:

Let us convert the equation to slope - intercept form.

$-6 y=15-4x$

$y=\frac{2}{3}x-\frac{5}{2}$

From the above equation, the slope is $m_1=\frac{2}{3}$

Since, the lines are perpendicular, the slope of the line can be determined using the formula,

$m_1 \cdot m_2=-1$

$\frac{2}{3} \cdot m_2=-1$

$m_2=-\frac{3}{2}$

Therefore, the slope of the equation is $m=-\frac{3}{2}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (6,9) and the slope $m=-\frac{3}{2}$ in the above formula, we get;

$y-9=-\frac{3}{2}(x-6)$

Simplifying the terms, we get;

$2(y-9)=-3(x-6)$

$2y-18=-3x+18$

$3x+2y=36$

Thus, the equation of the line is $3x+2y=36$

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3 years ago

a) The population consists of all 250 students in your large statistics class. You plan to obtain a simple random sample of 30 s

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There is three sampling frame of students that cannot be sampled in the next Monday. This is Students who are skipping class cannot be sampled, Students who are on a school trip cannot be sampled, and Students who are out sick cannot be sampled.

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How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns

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Answer:

$2355.06

Step-by-step explanation:

Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.

A = P(1 +r/n)^(nt)

where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we have ...

4000 = P(1 +.053/52)^(52·10) = P(1.6984738)

P = 4000/1.6984738 ≈ 2355.06

You would need to deposit $2355.06 in order to have $4000 in 10 years.

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Answer:

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Step-by-step explanation:

By the way, question 2 is same as question 1

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