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goldenfox [79]
3 years ago
9

Write 2.14 x 10-6 in standard form.

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

0.00000214

Step-by-step explanation:

tester [92]3 years ago
4 0
0.00000214 should be the answer
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Calculating area of rectangle with a diagonal of 5m height of 3m and length of 4m
bagirrra123 [75]

Answer:

area = 12 m²

Step-by-step explanation:

area = L x W

area = 4 x 3 = 12 m²

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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
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3 years ago
What is the surface area of a cube with faces that each have an area of 16 cm2?
OleMash [197]
I believe the answer is A. I'm not too sure though. How did I come to this conclusion? ¯\_(ツ)_/¯
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3 years ago
A ball was dropped from a height of 60m. Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped. Ho
asambeis [7]

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 =  \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 =  \frac{58.125}{0.5} \\S_5 = 116.25 m

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3 years ago
The questions are in the photos, I know it's a lot but the question is worth 100 points. Please answer it,,,,
FromTheMoon [43]

Soooooo sorry but I only understood part a and c.

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3 years ago
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