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Neko [114]
4 years ago
11

A cannonball is shot into the air. Its height can be described by the equation H = -5t² + 40t, where “h” is the height in feet a

nd “t” is the time in seconds. When will the cannonball hit the ground?

Mathematics
1 answer:
DedPeter [7]4 years ago
5 0

Answer:

t = 8 seconds

Step-by-step explanation:

Since this is a quadratic equation, there will be two values for which H = 0, (the ball is on the ground), so we'll just solve the equation and the first value will be the moment when the cannonball is launched, and the other will be when the cannonball falls to the ground.

0 = -5t² + 40t

Factorizing, since the two terms are being multiplied by t:

t(40 - 5t) = 0

the equation is true whenever t = 0 or t = 8, so we know that at the zeroth second, the ball was being launched, and at the 8th second, the ball was on the ground.

Here is how the graph looks like:

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Factorise fully<br>-12a - 16 <br><br>please do quick, first to answer marked brainiest!!​
Allushta [10]

Answer:

-4( 3a+4)

Step-by-step explanation:

-12a - 16

-4*3a -4*4

Factor out a -4

-4( 3a+4)

3 0
3 years ago
Two bowlers bowl the following number of strikes in 9 games
ehidna [41]
First, let's calculate the mean and the mean absolute deviation of the first bowler.

FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>

SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>

The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>

8 0
3 years ago
Which would be used to solve this equation? Check all that apply.
puteri [66]

Answer:

multiplying both-side of the equation by 3

substituting 36 for p to check the solution

Step-by-step explanation:

To solve the equation p/3 = 12, we will follow the steps below;

first multiply 3 to both-side of the equation, that is:

p/3 × 3 = 12 × 3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator, leaving us with just p while on the right-hand side of the equation 12 will be multiplied by 3

p= 36

To check the correctness of the equation, we can substitute p = 36 back into the equation and then check, that is;

p/3 = 12

36/3 = 12

This implies p = 36 is correct

3 0
3 years ago
Please help! College Algebra!
german
The volume would be (x+1)x(x+4)x(3x)= (x^2+x+4x+4)x(3x)= (x^2+5x+4)x(3x)= (3x^3)+(15x^2)+(12x)
Hence, the answer is the 4th option.
Hope this helped you, and if it did, please mark it as the brainiest answer. I would really appreciate it!
4 0
3 years ago
What would the ocean be mesured in mi or km or both
OlgaM077 [116]
Both, depends on the place in which you live
4 0
3 years ago
Read 2 more answers
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