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3 years ago

5

Simplify to a single power of 2

1 answer:

salantis [7]3 years ago

6 0

Answer:

the answer is 2 and 1

Step-by-step explanation:

0 votes

Step-by-step explanation:This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, ... More

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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:

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

8 0

3 years ago

Find the missing dimension.Use the Scale factor 1:12

strojnjashka [21]

Answer:

64.8 ft

12 times 5.4 is 64.8

3 0

3 years ago

Read 2 more answers

How do you solve it?

MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

<em>"first"</em> would be $x*x$ , which would equal $x^{2}$

<em>"outside"</em> would be $x*-1$ , which would equal $-1x, or -x$

<em>"inside"</em> would be $2*x$ , which would equal $2x$

<em>"last" </em>would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

$x+2=0\\x=-2$

<em>Add one to both sides.</em>

$x-1=0\\x=1$

ii Solution

<em>Add all the terms.</em>

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

8 0

3 years ago

The difference between 45 and y is 9

faltersainse [42]

Answer:

y = 36

Step-by-step explanation:

8 0

3 years ago

A. 5<br> b. 7<br> c. 9<br> d. 11<br><br> PLEASE HELPPP I WILL GIVE BRILLIANT!!!

antiseptic1488 [7]

Answer:

B : 7

Step-by-step explanation:

4 0

3 years ago