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Naya [18.7K]
3 years ago
8

Which expressions are equivalent to 2^−4·2^2?

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer: the answer is 6)

Step-by-step explanation:

Because 2x^{-4} . 2x^{2} = 2x^{-4+2} = 2x^{-2}

I hope it right

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Which statement is true?
Veronika [31]

Answer:

B. Only 140 is an outlier

Step-by-step explanation:

To properly identify an outlier, you must first know what it is. An outlier is a number that is either a lot higher or a lot lower than the average in a set of numbers. For example, if you had a number set of 1, 3, 4, 6, and 72, you can deduce that 72 is the outlier because it's very far away compared to the other numbers in the set.

In the set that's provided, the numbers tend to range in the double digits, going up in small increments from 15 to 89. However, we can see that 140 is a lot higher than the rest of the numbers in the set, so we can assume that 140 is an outlier.

7 0
3 years ago
Read 2 more answers
A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
3 years ago
Solve the equation 30=-5(m+6)+m
notka56 [123]
30 = -5(m+6) + m
30 = -5m - 30 + m 
0 = -4m
0 = m
6 0
3 years ago
Consider the equation and its solution.
madreJ [45]
30 Me mark as brainlist
6 0
3 years ago
Help please and show the steps
marshall27 [118]

Answer:

-sin(2A)

Step-by-step explanation:

1-(sin(A)+cons(A))^2

1-(sin(A)^2+2sin(A)cos(A)+cos(A)^2) :use FOIL to get it

1-(1+sin(2A))

1-1-sin(2A)

-sin(2A)

8 0
3 years ago
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