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pochemuha
3 years ago
14

After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He

ties the balloon with a string to prevent the air from escaping.
Which graph could represent this scenario?

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

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the function h=-16t^2+48t represents the height h (in feet) of a kickball t seconds after it is kicked from the ground
Julli [10]

Answer:

36 feet

Step-by-step explanation:

Given

h(t) = -16t^2 + 48t

Required

Determine the maximum height attained

First, calculate the time to reach maximum height;

In a quadratic equation;

y = ax^2 + bx + c

The maximum is:

x = -\frac{b}{2a}

So, we have:

t = -\frac{b}{2a}

Where

a = -16; b = 48

So:

t = -\frac{b}{2a}

t = -\frac{48}{2 * -16}

t = -\frac{48}{-32}

t = \frac{48}{32}

t = 1.5

The maximum height is at: t = 1.5

So, we have:

h(t) = -16t^2 + 48t

h_{max}=-16 * 1.5^2 + 48 * 1.5

h_{max}=36

6 0
3 years ago
A personnel officer in a governmental agency administered four newly de- veloped aptitude tests to each of 25 applicants for ent
Anvisha [2.4K]

Answer:

Following are the solution to these question:

Step-by-step explanation:

Please find the complete question in the attached file.\text{Stem and leaf plot}\\\\\text{Stem-and-Leaf Display:}\ \ x_1\\\\\text{Stem-and-leaf of} \ \  x_1 \ N = 25\\\\

1 6 2\\3 7 4 8\\6 8 4 6 7\\10 9 1 4 6 8\\(7) 10 0 1 4 4 5 6 9\\8 11 0 2\\6 12 0 0 0\\3 13 3\\2 14 0\\1 15 0\\

\text{Stem-and-Leaf Display:}\ \ x_2\\\\\text{Stem-and-leaf of} \ \  x_2 \ N = 25\\\\

1 7 3\\2 7 7\\4 8 1 3\\6 8 5 9\\7 9 4\\8 9 7\\10 10 1 2\\11 10 7\\(3) 11 0 3 4\\11 11 7 8 9\\8 12 0 1 1 1 2\\3 12 5 9 9\\

\text{Stem-and-leaf of} \ \ x_3 \ N = 25

1 8 01 85 9 0 1 3 312 9 5 5 5 6 7 8 9(4) 10 0 0 2 39 10 5 6 7 8 94 11 3 42 11 5 6

\text{Stem-and-leaf of} \ \ x_4 \ N = 25

1 7 42 7 85 8 0 3 410 8 5 7 8 8 911 9 0(3) 9 5 5 711 10 0 2 2 3 3 45 10 5 8 8 91 11 0

8 0
3 years ago
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon. #36
vazorg [7]
Take the length of one of the sides and times that by the radius. Divide that answer by 2. Now take that and multiply by the number of sides the polygon has. If you can't find the radius or side, you're going to have to use tan, sin, or cos.
5 0
3 years ago
Anybody willing to help?
alexandr402 [8]

Answer:

16 is H.9

17. is A.9

Step-by-step explanation:

Hope it helped! ^_^

6 0
3 years ago
Which expression means the sum of 5 and a number? A. g × 5 B. g – 5 C. g + 5 D. g ÷ 5
wel
For this case, the first thing you should do is define a variable.
 We have then:
 g: unknown number.
 We now write the expression in algebraic form.
 the sum of 5 and a number:
 g + 5
 Answer:
 
An expression that means the sum of 5 and a number is:
 
C. g + 5
5 0
3 years ago
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