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Murljashka [212]
3 years ago
11

Simplify the expression. 2a^–4 m^5

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0
We have  that
2a^{-4} m^{5}

Remove the negative exponent<span> by rewriting
</span>a^{-4}   as    1/a^{4}
2(1/a^{4})m^{5}

Simplify  2 (1/ a^{4} )

Write 2 as a fraction with denominator 1<span>.
</span>(2/1)(1/a^{4} ) m^{5}

Multiply  (2/1)   and  (1/ a^{4} )  to get  2/ a^{4}
(2 /a^{4}) m^{5}

Write <span><span>m5</span></span><span> as a </span>fraction<span> with </span>denominator <span>1
</span>(2/ a^{4})( m^{5} /1)

<span>Multiply  
(2/ a^{4})  and ( m^{5}/1)   to get  2 m^{5} / a^{4}
<span>
the answer is
</span>2 m^{5} / a^{4}<span>
</span></span>
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3 years ago
the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.
Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $5 for going in.

She has 2 whole pounds.

1.25 x 2=2.5 or 2 \frac{1}{2}

Add $5 and $ 2.5 .

5+2.5 = 7.5

Now let's do $1.25 divided by 10.

$$1.25 divided by $10 =0.125

Now let's do 0.125 times 4

0.125 x 4 = 0.5

Now let's add 7.5 to 0.5

7.5+0.5=8

4 0
3 years ago
Find the value of z. <br><br> 2v~2<br> 6v~2<br> 3<br> 2
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Suppose the sides of the big triangle are called m, x and 12+4=16. We have that the big triangle and the small triangle to the right of the shape (sides x,y,12) are similar. We can take then the ratios of correponding sides and know that they will be equal. Thus, we have that 4/y=y/12. Hence, y*y=48. Thus y=\sqrt{48} = 4 \sqrt{3}.
3 0
4 years ago
If the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 6 in.
mel-nik [20]

Answer:

0.375 feet-lb

Step-by-step explanation:

We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.

We can represent our given information as:

6=\int\limits^2_0 {F(x)} \, dx

We will use Hooke's Law to solve our given problem.

F(x)=kx

Substituting this value in our integral, we will get:

6=\int\limits^2_0 {kx} \, dx

Using power rule, we will get:

6=\left[ \frac{kx^2}{2} \right ]^2_0

6=\frac{k(2)^2}{2}-\frac{k(0)^2}{2}

6=\frac{4k}{2}-0\\\\k=3

We know that 6 inches is equal to 0.5 feet.

Work needed to stretch it beyond 6 inches beyond its natural length would be \int\limits^{0.5}_0 {kx} \, dx =\int\limits^{0.5}_0 {3x} \, dx

Using power rule, we will get:

\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0

\frac{3(0.5)^2}{2}-\frac{3(0)^2}{2}\Rightarrow \frac{3(0.25)}{2}-0=\frac{0.75}{2}=0.375

Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.

3 0
3 years ago
In the year 2005, a person bought a new car for $27500. For each consecutive year after that, the value of the car depreciated b
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Answer:

It would be worth your entire household.

Step-by-step explanation:

You're not rich.

8 0
3 years ago
Read 2 more answers
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