Answer:
Step-by-step explanation:
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Substitute ''x'' with '2' & 'y' with "-4":-
First let's solve 
Calculate exponents:- -4^5= -1024
Remove parentheses, apply rule:- 
Apply fraction rule:-
Divide numbers:-
Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-
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Answer:
An irrational number between -2 and -1 would be 
A rational number between -2 and -1 would be -1.5
Step-by-step explanation:
= -1.570796... This number does not have repeating decimals, patterns, and it isn't a terminating decimal. It is irrational.
-1.5 is a terminating decimal, therefore it is rational, as well as between -2 and -1.
Answer: 1 and 3/4 cupcake
Step-by-step explanation: 7divided by 4 = 1.75 or in fractional form 1 and 3/4 cupcakes.
B is your answer. Just count it. That’s if black goes to blue.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
