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3 years ago

Which expression is equivalent to 2^6 x 2^-4 / 2^7

2 answers:

6 0

2^6 * 2^(-4) / 2^7

= 2^6 * ( 1 / 2^4 ) * ( 1 / 2^7 )

= 2^6 * ( 1 / 2^11 )

= 2^(6-11)

= 2^(-5)

= 1 / 2^5

= 1 / 32

the answer is 1 / 32

nata0808 [166]3 years ago

6 0

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Acellus help slope intercept

Serjik [45]

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

$m=\frac{y_2-y_1}{x_2-x_1}$ ---> Rise Over Run

<em>But how are we gonna calculate if we don't have any two given ordered pairs?</em>

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

$m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2$

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - $y=mx+b$

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is $y=2x+7$

3 0

3 years ago

Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.

Licemer1 [7]

(8.4 / 6) + 3.2

Hope this helps :)

8 0

3 years ago

An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

8 0

3 years ago

Write a decimal that is 1/10 of 0.9

Mkey [24]

The <em>correct answer</em> is:

0.09

Explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

6 0

3 years ago

Read 2 more answers

Ariel works as a veterinary assistant and earns $19.60 per hour. Last week, she worked 7 1/2 hours each day on Monday through We

sergij07 [2.7K]

She earned 661.50 dollars. If she worked 7.5 hrs each day Mon-Wed, she worked 22.5 hrs from Mon-Wed because 7.5 times 3 is 22.5. She also worked 6 hrs on Sat. and 5.25 hrs on Sun., so in total, she worked 33.75 hrs last week. To find out her pay, we have to multiply the total hrs by the amount she gets payed, 19.60. 33.75x19.60 is 661.50, the amount she got payed last week.

7 0

3 years ago