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oee [108]
2 years ago
12

A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s heigh

t (y).
Y=-0.02x^2+0.8x+3


What will the height of the ball be at a distance of 10 feet?


A. 6
B. 7
C. 8
D. 9
Mathematics
1 answer:
Nataly_w [17]2 years ago
6 0

Answer D). 9 ft is correct

Height of the ball at a horizontal distance of 10 feet is 9 ft

Step-by-step explanation:

A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).

Y(x) = -0.02x^{2} +0.8x+3

Question asked is " What will be height (Y) of the ball when X=10 ft "

Simply putting value of X in given equation

we get,

Y(x) = -0.02x^{2} +0.8x+3

Y(x) = -0.02(10)^{2} +0.8(10)+3

Y(x) = -0.02(100)} +8+3

Y(x) = -2 +8+3

Y(x) = 9

<em>Therefore,</em> Height of the ball at a horizontal distance of 10 feet is 9 ft

Answer D.  9 ft is correct

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The spinner shown has eight equal-sized sections. The pointer lands on an even number 135 times out of 250 spins. Which of the f
forsale [732]

Answer:

A and D

Step-by-step explanation:

Here, we shall be evaluating the validity of the statements;

A. Yes, A is true

There are four even numbers 2,4,6 and 8 and 4 odd number 1,3,5,7; The landing should be equal at 125 each

B. This is wrong

It is supposed to land half of the number of time s which is half of 250 and that is 125

C.This is wrong

The numbers greater than 4 are 5,6,7,8

Now, the probability should be 4/8 = 1/2 and that is 50%

D. This is correct

Number of times we have a landing on odd numbers is 250-135 = 115

The experimental probability of landing on an odd number is thus 115/250 = 0.46 which is 46%

8 0
2 years ago
If f(x) = 5x + 40, what is f(x) when x = –5?<br><br> a.–9<br> b.–8<br> c.7<br> d.15
defon

Just plug the number

_5(5)+40=-25+40

=15

3 0
2 years ago
Read 2 more answers
Bentley is working two summer jobs, making $18 per hour lifeguarding and making $8 per hour clearing tables. In a given week, he
Mariulka [41]

Answer:

8 hours

Step-by-step explanation:

First, let's find how much Bentley gets from clearing tables.

5 hours • $8 per hour = $40 total

We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.

$180 needed - $40 earned = $140 left to earn

We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.

$140 needed ÷ $18 per hour = 7.77...

We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.

5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max

It is possible to make $180 total from this work schedule, so your answer would be 8 hours.

8 0
1 year ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
Mrac [35]
For the answer to the question above, 
since the only variable used to determine earnings is the number of doors knocked, you can eliminate options 1 and 3 as they are based on the number of books sold, which is not a part of the equation. 

<span>That leaves the only options being the increase of $20 or $50 for each door knocked. As the x value we multiply by 20, the correct answer is #2, her earnings will increase by $20 for each door knocked. </span>

<span>You can also check this by plugging in values: </span>

<span>Assume 10 doors are knocked: </span>
<span>E(10) = 20(10)-50 = 200-50 = 150 </span>

<span>Assume 11 doors (1 more door) is knocked: </span>
<span>E(11) = 20(11)-50 = 220-50 = 170 </span>

<span>The increase from 1 door is $20.</span>
4 0
2 years ago
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Which equation is the inverse of y = 2x2 – 8?
goblinko [34]
I posted an image instead.

4 0
2 years ago
Read 2 more answers
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