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Whitepunk [10]
2 years ago
11

Suppose Neil Armstrong decided to throw a golf ball into the air while he was standing on the

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

Answer:

At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s

Step-by-step explanation:

The given information on the height can be written as follows;

s(t) = -2.72·t² + 26.9·t + 6

Where;

s = The height (displacement) of the golf ball

t = The time taken during the motion of the golf ball

The velocity is found by finding the derivative of the displacement s as follows;

v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9

When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s

Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.

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A farmer has 5 cartons of eggs for sale. Each carton contains 12 eggs.
MariettaO [177]

Answer:

10 eggs

Step-by-step explanation:

5 cartons multiplied by 12 eggs each equals 60 eggs in total.

Therefore 5/6 would be equal to 50/60 since we multiply the denominator and numerator by 10

As a result 10 of the eggs are not brown

4 0
2 years ago
Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the heig
RUDIKE [14]

Answer:

A=4 B=3

Step-by-step explanation:

8 0
2 years ago
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Emily wants to earn $100. She picks blueberries and is paid d dollars per bucket. She averages 4 buckets per day, and she has al
Bess [88]

Answer:d

Step-by-step explanation:

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2 years ago
[GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y
IgorLugansk [536]

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

5x-4+7x-8=180

12x-12=180

12x=192

x=16.........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

9y+5=7x-8

now, we can plug x=16

9y+5=7*16-8

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y=11...................Answer


9 0
2 years ago
) for a particular diamond mine, 77% of the diamonds fail to qualify as "gemstone grade". a random sample of 112 diamonds is ana
sweet [91]

We use the z statistic:

z = (x – u) / s

 

But first let us calculate the standard deviation s, sample x and mean u.

s = sqrt (n p q)

s = sqrt (112 * 0.77 * (1 – 0.77))

s = 4.45

 

x = 0.81 * 112 = 90.72

 

u = 0.77 * 112 = 86.24

 

So the z score is:

z = (90.72 – 86.24) / 4.45

z = 1.00

 

From the standard tables, the P value at z = 1.00 using right tailed test is:

<span>P = 0.1587 = 15.87%</span>

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2 years ago
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