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lawyer [7]
3 years ago
10

A leak in a water tank causes the water level to decrease by 3.6×10−2 millimeters each second. About how many millimeters does t

he water level in the tank decrease in 5 hours, or 1.8×104 seconds?
Drag and drop the values to the boxes to express the answer in scientific notation.

2     5     5.4      6.5     10^-8     10^-2     10^2     10^6

--------x--------mm
Mathematics
1 answer:
frutty [35]3 years ago
3 0
The correct answer is 6.5 x 10^2.

We have the amount for 1 second. To convert to 5 hours, we need to multiply it by 60 and 60 and 5.

0.036 x 60 x 60 x 5 = 648

Or about 6.5 x 10^2
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The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l
miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

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3 years ago
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Answer: -4

Step-by-step:

-x^2+5x-1 x _ = 4x^2-20x+4

4x^2-20x+4 / -x^2+5x-1

In the blank the answer would be -4 which is the monomial.

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Answer:

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Step-by-step explanation:

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The y-intercept is y=3

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