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Mama L [17]
1 year ago
11

The volume of a cube with side length x is V(x)=x^3. The volume of a cylinder with radius x and height 0.5x is shown in the grap

h. When x=1, which volume is greater?
​

Mathematics
1 answer:
abruzzese [7]1 year ago
5 0

Answer:

  the cylinder volume is greater

Step-by-step explanation:

The volume of a cube with x=1 is ...

  V(1) = 1^3 = 1

The graph shows y ≈ 1.5 for x=1. Since 1.5 > 1, the volume of the cylinder is greater.

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Abel is making brownies for a bake sale. The recipe shows the amount of each ingredient needed to make 9 brownies. Complete each
mixas84 [53]

Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

Step-by-step explanation:

As the recipe is missing in this question, the recipe is found online which given following information

  • Abel needs 5 cups of flour to make brownies.
  • If Abel uses 4 cups of sugar.
  • he will need to use 2 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 1 egg.

Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.

This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.

Now  in order to make 45 brownies

  • Abel needs 5*5 =25 cups of flour to make brownies.
  • If Abel uses 5*4=20 cups of sugar.
  • he will need to use 5*2=10 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 5*1=5 egg.

So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

5 0
2 years ago
A number is written with the following factorization 2x2x2x4x5. Is this factorization is prime factorization? Explain why or why
Ulleksa [173]
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.

Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
3 0
2 years ago
Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002
umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0
2 years ago
Jaime make $8.20 on hour in his part-time job. He made $53.30 last week. How many hours did he work.
andrew11 [14]

Answer:

he worked for 6 hours and 30 min

Step-by-step explanation:

what you do is take 53.30 and divide it by 8.20

4 0
2 years ago
During a closeout sale, some television models are discounted 40%. What was the original price to the nearest dollar of a televi
dexar [7]

Answer:

1523.25 dollars

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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