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salantis [7]
1 year ago
14

Need help with this word problem!!!!

Mathematics
2 answers:
aev [14]1 year ago
6 0

Answer:

6 seconds after it is launched

Step-by-step explanation:

h(t) = -4t² + 16t + 48

The balloon is at ground level when it lands.

When it is launched, t = 0, and h(0) = 48

When it lands, at time t, h(t) = 0.

-4t² + 16t + 48 = 0

t² - 4t - 12 = 0

(t - 6)(t + 2) = 0

t = 6 or t = -2

The balloon will hit the ground 6 seconds after it is launched.

Crank1 year ago
3 0
Yup it’s 6 seconds!!
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Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
2 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?. . A.a number line with
r-ruslan [8.4K]

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2.    <em>  (Shading right side for greater than sign)</em>

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. <em> (Shading left for less than sign)</em>

<em>We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.</em>

And because we have "OR" composite inequality.

<em>So, we would take the combination of both shaded portion.</em>

<h3>Therefore, correct option is C.number line with shading everywhere.. </h3>
4 0
3 years ago
Marcy bottles 17 gallons of root beer and 12 gallons of punch. She sells her drinks in quart bottles. How many bottles does she
densk [106]


we know that 1 gallon = 4 quarts so...

17 gallons of root beer + 12 gallons of punch = 29 gallons in total

29 gallons ÷ 4 = 7.25 quarts

so she needs 7 bottles of quarts for her 29 total gallons.

6 0
3 years ago
1.) What is the mode of the data ? Show work ( A.3, B.5, C.8, D.10 )
ArbitrLikvidat [17]
Hey there.

1.) The mode is the number that's most frequent in a given list.
In our list, we have 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10.
Our most frequent number is 6; therefore, our mode is 6.

2.) The median is the number in the middle of a list organized from least to greatest.
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10;
4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9;
4, 5, 5, 5, 6, 6, 6, 6, 7;
5, 5, 5, 6, 6, 6, 6;
5, 5, 6, 6, 6;
5, 6, 6;
6.
6 is our median.

I hope this helps, despite your answer choices not providing the correct answer.
6 0
2 years ago
How would you solve 7x + 2(x+5) &lt; 3x-14
Daniel [21]
So first you want to start in the parentheses
x+5
so what you do is 2 times x which is 2x
2 times 5 which is ten
7x+10x <3x-14
-10× - 10x



-3x
5 0
3 years ago
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