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creativ13 [48]
3 years ago
8

16. Which is greater, 4^-2 or 2^-4? How do you know? Those are exponents.

Mathematics
1 answer:
gladu [14]3 years ago
4 0

Answer:

Both are equal to \frac{1}{16}

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}

2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}

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Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 5; B: the numbers add to 2
labwork [276]

Answer:

Part 1

A = {5}

B = {(1,1)}

C = {(2,1), (2,3), (2,4), (2,5), (2,6), (1,2), (3,2), (4,2), (5,2), (6,2)}

D =  {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,6), (4,1), (4,2), (4,3), (4,5), (4,6), (5,1), (5,2), (5,4), (5,5), (5,6), (6,1), (6,3), (6,4), (6,5), (6,6)}

Part 2

35

Step-by-step explanation:

Part 1

We use brakets for indicate that the elements belong to a event.

In each event, the first member of each parentheses belong to dice red and the second belong to green dice.

We consider in each event all elements that accomplish the condition.

Part 2

When we combinate pair with the two dice obtain 36 pairs (6*6, six possible results in the red dice and six possible results in the green dice), now we look for all of them that do not add 2.

(1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

4 0
3 years ago
The lopez family goes to the movies. They buy 2 adult tickets for $6 each and 3 child tickets for $4 each. Write an equation to
andre [41]
I think it would be 2x+3y=$24
Adult tickets would be x
Child tickets would be y
I’m not 100% sure though sorry
3 0
2 years ago
For f (x) = 3x +1 and g(x) = x2 - 6, find (f 3)(x)
Sunny_sXe [5.5K]

Answer:

10

Step-by-step explanation:

f(x) = 3x + 1

f(3)= 3 * 3 + 1 + 10

5 0
3 years ago
The reflection pool is 1 meter deep, 10 meters wide, and 20.5 meters long. What is the volume of the pool
gtnhenbr [62]
Volume = length x width x height
Volume = 1 x 10 x 20.5
Volume = 205 m^3
3 0
3 years ago
A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum
Lemur [1.5K]

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Area of triangular base = 12 sq. inches

Height of a three dimensional object = 8 inches

We need to find the Volume of that object.

As we know that "Volume = Area of base × Height "

So, it becomes,

Volume=12\times 8\\\\Volume= 96\ cubic.\ inches

So, the volume of object is 96 cubic inches.

Hence, Option 'D' is correct.

4 0
3 years ago
Read 2 more answers
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