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Komok [63]
2 years ago
13

Question 17

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

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A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0
3 years ago
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Aneli [31]

Answer:

9 miles

Step-by-step explanation:

use Pythagoras theorem

15 squared - 12 squared = 81

square root of 81 is 9

6 0
2 years ago
Read 2 more answers
4.
Svetach [21]

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

5 0
2 years ago
the coefficient of correlation between x and y is 0.28 there covariance is 7.6 if the variance of x is 9 then standard division
Reptile [31]

Answer: 9.05

the answer is in here: https://brainly.in/question/13877695

Step-by-step explanation:

6 0
2 years ago
A dozen eggs cost 3.84 at this rate how much would 50 eggs cost
Zina [86]

Answer:

50 eggs would cost 16$

Step-by-step explanation:

A dozen eggs is 12. So for 4 dozen eggs, you get 48. 48 eggs is 15.36$. If you divide the 3.84 to 12, you will get the individual price for each egg. The individual price for each egg is .32 cents. You need to add 2 more eggs to the 4 dozen to get 50 eggs. You times .32 to 2 and you get .64. After that you add .64 to the price of the 4 dozen eggs and you will get 16$

Simple version:

dozen eggs =12, cost 3.84$

4 dozen eggs= 48, cost 15.36$

3.84$ divided by 12 = .32 cents (price of the individual egg)

Add two of the individual eggs together and add it to 15.36$

:)

5 0
2 years ago
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