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IrinaK [193]
2 years ago
5

What is the volume of a sphere if its radius is 30

Mathematics
1 answer:
ASHA 777 [7]2 years ago
3 0

Answer:

About 113,097.34 units

Step-by-step explanation:

           The volume of a sphere can be found with the equation V = \frac{4}{3}πr³ when r is the radius.

V = \frac{4}{3}πr³

V = \frac{4}{3}π(30)³

V ≈ 113,097.34 units

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Carly's age is 3 more than twice her sister's age, s. Which of the following expressions represents Carly's age?
vlada-n [284]

Answer:

x=3+2s

Step-by-step explanation:

If Carly's age be considered as x and Carly's sister age be considered as s then

The expression is as follows

x=3+2s

3 0
2 years ago
Read 2 more answers
Help ? showing how you got the answer would be absolutely awesome. thank you !
Sergeeva-Olga [200]

Answer:

62: 300l/hr

63: .018mi/s

64: .46qt/s

65: 298.2mi/hr

Step-by-step explanation:

62: 5x60=300

63: 68/60=1.13/60=.018

64:7gal=28qt 28/60=.467

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5 0
2 years ago
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t
mart [117]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

7 0
2 years ago
What the square root 11?
Mumz [18]
I hope this helps you

5 0
3 years ago
Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
3 0
3 years ago
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