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beks73 [17]
3 years ago
8

Which of the following correctly expresses the number below in scientific notation0.00000171

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

F) 1.71 x 10^-6

That's the correct answer.

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8-3x=8 then please solve for x
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8 - 3x = 8

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A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
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Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

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Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

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 y^2=29^2+21^2

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Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

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 (21)*\frac{dx}{dt} -250.64 =0

 \frac{dx}{dt}=\frac{250.64}{21}

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2 years ago
The length of Hillcrest Garden is 6 feet more than its width. A 3-foot wide walkway surrounds the outside of the garden. The tot
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Answer: The dimensions of the garden would be 18 feet and 24 feet.

Step-by-step explanation:

Let the width of garden be 'x'.

Let the length of garden be 'x+6'

Since there is 3 foot wide walkway surrounds the outside the garden.

Area of walkway = 288 square feet

So, According to question, it becomes,

2z(x+y+2z)\\\\288=2\times 3(x+x+6+2\times 3)\\\\288=6(2x+6+6)\\\\288=6(2x+12)\\\\\dfrac{288}{6}=2x+12\\\\48=2x+12\\\\48-12=2x\\\\36=2x\\\\x=\dfrac{36}{2}\\\\x=18

Width = 18+6 =24 feet

Hence, the dimensions of the garden would be 18 feet and 24 feet.

4 0
3 years ago
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