Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.
<h3>What is the volume of the sphere?</h3>
Let d be the diameter of the sphere.
Then the volume of the sphere will be
V = 1/6 πd³ cubic units
Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be
Amount of snow = 1/6 π x 12³ - 1/6 π x 8³
Amount of snow = 288 π - 85.33π
Amount of snow = 636.71 cubic cm
More about the volume of the sphere link is given below.
brainly.com/question/9994313
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Answer:
b
Step-by-step explanation:
Answer:
<h2>MN</h2>
Step-by-step explanation:
If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:
∠L ≅ ∠X
∠M ≅ ∠Y
∠N ≅ ∠Z
and
LM ≅ XY
MN ≅ YZ
LN ≅ XZ
