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vazorg [7]
3 years ago
13

(5.42x10^2)—(2.1x10^-1) simplify and solve in scientific notation and please show work

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

542÷100×100-(21÷10)÷10

=542-0.21=541.79=5.4179×10²

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How do you do this question?
Nikitich [7]

Answer:

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

Step-by-step explanation:

∫ 15 sin(√(at)) dt

Use substitution:

If x = √(at), then:

dx = ½ (at)^-½ (a dt)

dx = a / (2√(at)) dt

dx = a/(2x) dt

dt = (2/a) x dx

Plugging in:

∫ 15 sin x (2/a) x dx

30/a ∫ x sin x dx

Integrate by parts:

If u = x, then du = dx.

If dv = sin x dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 30/a (-x cos x − ∫ -cos x dx)

= 30/a (-x cos x + ∫ cos x dx)

= 30/a (-x cos x + sin x + C)

Substitute back:

30/a (-√(at) cos(√(at)) + sin(√(at)) + C)

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

3 0
3 years ago
gas sometimes cause more over the summer you saw your parents put 24 gallons of gas in the car for $78.48 what was the cost per
AlekseyPX
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4 0
3 years ago
Select all the rational numbers
Yuliya22 [10]

Answer:

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7 0
2 years ago
-2 (-3x + 3) + 2x = 58
dusya [7]

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

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8x = 64 ( divide both sides by 8 )

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8 0
2 years ago
Natasha watched 1/3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2/5 of t
PtichkaEL [24]

Answer:

While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.

Step-by-step explanation:

While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.

5 0
2 years ago
Read 2 more answers
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