3 years ago

A power of 10 with a positive exponent will produce a number that is

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

Example 10 to the 4th power

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

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What’s a other word for adjacent I need help

Triss [41]

Answer: adjoining HAVE A GREAT DAY

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on Thursday, 30 students went to after-school tutoring. On Friday, 6 students went. What is the percent decrease in the number o

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Hey there! :)

The answer is 80%

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Hope this helped :)

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Scorpion4ik [409]

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Step-by-step explanation:

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Subtract 4x from 6x-5.

Ahat [919]

Answer:

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Step-by-step explanation:

6x-5-4x

2x-5

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