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shepuryov [24]
3 years ago
14

32a³b² _____ 8ab² Simplify the following expression.

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

4a^{2}

Step-by-step explanation:

We need to simplify the following expression:

y=\frac{32a^{3}b^{2}}{8ab^{2}}

We know that: \frac{x^{a}}{x^{b}}=x^{a-b}. Applying this rule, we have that:

y = \frac{32a^{3}b^{2}}{8ab^{2}} = 4a^{3-1}b^{2-2} = 4a^{2}

Then, the solution is: 4a^{2}

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A college survey was taken to determine where students study. Of 110 students surveyed, 64 studied
Serhud [2]

Answer:

12

Step-by-step explanation:

64+52=118 studied in the cafeteria or lounge

but 20 studied in both, so 118-20 = 98 studied there in total

110 -98 = 12

8 0
2 years ago
The regression equation Credits = 17.9 − 0.09 Work was estimated from a sample of 21 statistics students. Credits is the number
Readme [11.4K]

Answer:

Step-by-step explanation:

Hello!

Given the regression equation

Credit= 17.9 - 0.09 Work

That was estimated from a sample of n= 21 statistic students.

Y: number of college credits taken

X: number of hours worked per week at an outside job

a)

The estimation for the slope is -0.09

As you see the estimated slope is negative, this means that the association between the two variables is indirect or inverse. Meaning, when the number of Work increases, the number of Credit decreases. (negative regression)

The correct option is: "An increase in the number of hours worked per week decreases the expected number of credits."

b)

The estimation for the intercept is 17.9

In general, the intercept is the estimated average of Y when X=0. You can interpret the intercept of this equation as "the value of Credits earned by a student that does not work outside of school"

The correct option is: " The intercept is meaningful as a student may not have a job outside of school. "

c)

If Work=0, then Credit= 17.9 (As explained in item b)

By replacing the value in the equation: Credit= 17.9 - 0.09 * 0= 17.9

If Work=60, you replace it in the equation and:

Credit= 17.9 - 0.09 Work= 17.9-0.09*60= 12.5

If the student works 60 hs outside of school it is expected that he takes 12.5 college credits.

I hope this helps!

4 0
3 years ago
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
SVETLANKA909090 [29]
It is 15% of 20 pound water
15/100x20
3lb
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3 years ago
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Which equation represents the line that passes through points (0,6) and (2.0)?
Natali5045456 [20]
Fgggvggggggggggggggggggggg
7 0
2 years ago
Write the equation of a circle that has a center at the origin and a radius with a length of 4 inches
VMariaS [17]

Answer:

x^2+y^2=16

Step-by-step explanation:

x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r

since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be

x^2+y^2=16

4 0
3 years ago
Read 2 more answers
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