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Mama L [17]
3 years 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]3 years 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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5 0
3 years ago
Jed is an electrician. Jed and his wife are accrual basis taxpayers and file a joint return. Jed wired a new house for Alison an
tankabanditka [31]

Answer:

$3000

Step-by-step explanation:

Assuming that the court didn't charge any legal fee to Jed and Jed also the lawyer for this case didn't charge him anything, Jed had personally planned to get $15,000. Subtracting the amount initially paid, $10,000, Jed still needs $5,000 from Alison. Assuming a fair judgement was made, giving Jed 2,000 and subtracting this from his expectation of $5,000 we remain with $3,000. Therefore, we can conclude that the $3,000 is the loss he should record out of this deal.

6 0
3 years ago
A basketball court has a rectangular shape with a length of 94 feet and a width of 50 feet. Janet made two scale models if the r
Irina-Kira [14]

Answer:

Step-by-step explanation:

Note that there are two scale models with each of ratio of 1/2 and 1/16 respectively.

For the first model, the dimension will be as follows:

Length/2 by width/2

94/2 by 50/2 = 47 feet by 25 feet.

For the second model, the dimension will be as follows:

Length/16 by width/16

The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.

Since we are to solve for the area of the smallest scale model which is

5.875 feet by 3.125 feet.

Hence, area (A) = L× W

=5.875 × 3.125 feet.

= 18.359ft^2

4 0
3 years ago
What is the distance between (-6,4) and (-8,6)? Choose 1 answer:
lukranit [14]

Answer:

D

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

d=\sqrt{(-8-(-6))^2+(6-4)^2

Evaluate:

d=\sqrt{(-2)^2+(2)^2

Evaluate:

d=\sqrt{4+4}=\sqrt{8}

Hence, our answer is D.

6 0
3 years ago
A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
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