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Softa [21]
3 years ago
5

Simplify the expression.

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

LAST OPTION: x^9

Step-by-step explanation:

For this exercise it is important to remember the Power of a power property, which states that:

(a^m)^n=a^{mn}

The expression given in the exercise is:

(x^\frac{3}{2})^6

Therefore, in order to simplify it, you  must apply the Power of a power property explained before.

Then, you get the following expression:

=x^{(\frac{3}{2}*6)}=x^{(\frac{3*6}{2})}=x^{\frac{18}{2}}=x^9

As you can notice, the expression obtained matches with the expression provided in the last option.

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What is the area of a rectangle if the length is 1/2 and the width is 1/4
Ostrovityanka [42]

Answer:

Step-by-step explanation:

its the size of my nut$. hope this helps!

6 0
3 years ago
Please help it’s due tonight<br><br> Math
gayaneshka [121]

Answer:

m < 36

yes, Jamie is correct.

Step-by-step explanation:

I've bolded the statements that you can put down to show your work

the maximum that Jamie is willing to practice for the week is 300 minutes, so you can start by creating an inequality for that.

total minutes throughout the week < 300

next, you know that a week is monday through friday + the weekend, and the amount of minutes Jamie will practice for the weekend is already given.

so, you can rewrite the earlier inequality like so

Monday through Friday practice + 120 < 300

since Jamie plans to practice the same amount of time (m) for each day, and there are 5 days between monday and friday, you can substitute values in the equation

5m + 120 < 300

simplify

5m < 300 - 120

5m < 180

m < 36

since half an hour is 30 minutes, the answer is yes, Jamie's claim is correct.

5 0
3 years ago
M=2 , b=-5 what does y equal ?
Elis [28]
Y= mx +b
Y= 2x -5
You have to find what is x
3 0
3 years ago
Read 2 more answers
Need ASAP I’ll mark brainliest if right
katen-ka-za [31]
Area= 50.24 or 50.2 rounded to the nearest tenth
5 0
3 years ago
Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu
Murljashka [212]

Answer:

The value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

Step-by-step explanation:

We know that the position function is given by

s(t)=30t-\frac{g_s}{2} t^2

Velocity is defined as the rate of change of position. Therefore,

v(t)=\frac{d}{dt}(s(t))

So, the velocity function is

v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

v(t)=30-g_st=0\\\\g_s=\frac{30}{t}

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

5 0
3 years ago
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