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ale4655 [162]
3 years ago
14

If a = 2 and b = -3, find the value of a3 - b2. A.-31 B.-23 C.-1 D.15

Mathematics
2 answers:
adelina 88 [10]3 years ago
4 0

Plug in -3 for b, and 2 for a

2^3 - (-3)^2

Remember to always follow PEMDAS. First, do the exponents

2^3 = 2 x 2 x 2 = 8

(-3)^2 = -3 x -3 = 9

Subtract

8 - 9 = -1

-1 is your answer

hope this helps

valentinak56 [21]3 years ago
3 0

Hello!

So let's first start out by solving the left side of the equation:

2 to the third power is 8

The right side now: -3 to the second power is -9

In total: 8- (-9)

So your answer is C) -1

I hope it helps!

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Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul
Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

4 0
2 years ago
If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square
Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

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3 0
2 years ago
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Tresset [83]

Answer:

P = -x^3 +12 / x+6

Step-by-step explanation:

Let's solve for p.

px=(2)(4)−x3+(2)(2)−6p

Step 1: Add 6p to both sides.

px+6p=−x3−6p+12+6p

px+6p=−x3+12

Step 2: Factor out variable p.

p(x+6)=−x3+12

Step 3: Divide both sides by x+6.p(x+6)

x+6

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−x3+12

x+6

p=

−x3+12

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5 0
2 years ago
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Setler [38]

Answer:

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8 0
2 years ago
Read 2 more answers
-1(t+8)=-7.1 solve for t
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Answer:

t = -0.9

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3 years ago
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