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valentinak56 [21]
3 years ago
14

In 2015, a company made 2.7×10^11 mailboxes. In 2019, the same company made 3.9×10^12 mailboxes. How many more mailboxes did the

y make in 2019? (Write your answer in scientific notation.)
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

3,630,000,000,000‬ more (3.93*10^12)

Step-by-step explanation:

2.7*10^11= 270,000,000,000

3.9*10^12= 3,900,000,000,000‬

3,900,000,000,000‬-270,000,000,000=3,630,000,000,000‬

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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is la
kkurt [141]

8*40 = 320 * 2 = $640 for the 2 workers

640/2000 = 0.32

labor cost is 32% of the revenue

8 0
3 years ago
Select ALL the correct answers.
aksik [14]

Answer: I think it’s A the cylinder

Step-by-step explanation:

8 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
What is the equation
AlexFokin [52]

Answer:

y=3x+1

Step-by-step explanation:

Determine slope with two coordinates and use it in the formula

4 0
3 years ago
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