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AleksandrR [38]
3 years ago
13

Sloane kicked a soccer ball at a speed of 36 feet per second. If the ball never leaves the ground, then it can be represented by

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

t = 2.25 seconds

Step-by-step explanation:

Let

x ----> the time in seconds that the ball traveled

H(t) ---> the height of the ball in feet

we have

H(t)=-16t^2+36t

we know that

When the ball hit the ground, the height of the ball is equal to zero

so

To find out the time the ball traveled, equate the function H(t) to zero

For H(t)=0

-16t^2+36t=0

solve for t

Factor -16t

-16t(t-\frac{9}{4})=0

The solutions are

t=0\ sec \\t=9/4=2.25\ sec

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Answer: If the ratio is 1:78, a) the Cutty Sark is 3510 inches long or 292.5 ft; b) the Cutty Sark is 2028 inches tall or 169 ft according to this model

Step-by-step explanation: The ratio indicates that for every inch of the model, it corresponds to 78 inches of the actual size. If the length is 45 inches for the model, it would be an equivalent of 45*78 of the actual size = 3510 inches. The same can be applied to the height. Multiplying 26 x 78, the actual size should have a height of 2028 inches.

8 0
3 years ago
Evaluate m – n if m = –16 and n = 28
natima [27]

Answer:-44

Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute
RUDIKE [14]

Answer:

The function notation is given as:

$6 + $30 × x

f(x) = $6 + 30x

The dog walker charges $28.50

Step-by-step explanation:

Let the hourly rate be represented by x

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.

The function notation is given as:

$6 + $30 × x

F(x) = $6 + 30x

How much does the dog walker charge for a 45 minute walk?

We have to convert 45 minutes to 1 hour

60 minutes = 1 hour

45 minutes = x

x = 45/60

x = 3/4(hour)

Putting that in the function notation:

f(x) = $6 + 30x

x = 3/4

$6 + 30(3/4)

$6 + $22.5

= $28.50

Therefore, the dog walker charges $28.50

7 0
3 years ago
An automobile assembly line runs for 9 3/4 hours each day. employees work 3/4 hours shift. how many shifts are there in each day
babunello [35]

Answer:

the mixed fraction 9 3/4 means there are 9 4/4 s and one 3/4all togather there are 39/4 divid this by 3/4 to find the no of shifts. 39/4 ÷(3/4)

=39/4. ×4/3=13

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2 years ago
Suppose we have two binomial populations where the true proportion of success is .2 for the first population and .3 for the seco
Veseljchak [2.6K]

Answer:

The value is not close to 0.3 because of sampling variability.

Step-by-step explanation:

The group of answer choices are not given which are as follows:  

  • All of the above
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From this the correct option is option C which is Because of Sampling Variability.

This is true because the two populations are of different values and thus the sample is not dependent on any one of the two possibilities. When a sample of 4 is considered from first and 400 from the second the overall probability will be far from the value of 0.3. So the

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