In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer 1

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.


Related Questions

1.) plz Find the measure of angle B
B
65
30
A
с
O x = 80
X = 85
O x = 90
O x = 95

Answers

X=85

I hope this helps

Answer:

eu acho que é a C

e um belo dia abençoado

is this a function? x

Answers

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

The correct answer is 2

can someone help with this please . questions 3 and 4

Answers

Number three would be positive 4

Figure out what x and y are. Please explain well!

Answers

Answer:

(2y+50)+(7x-248)=180    (solve for x and y)    supplementary angles add up to 180 and these two angles are supplementary complements

(5y-17) + (x+44) = 180   (solve for x and y)

Step-by-step explanation:

Find the slope of the line that passes through the points (2,6 ) and ( 4 , 12)

Answers

Answer:

3

Step-by-step explanation:

slope is rise over run. to find the rise subtract the second y value from the first. 12-6=6. Now let’s find the run. subtract the second x value from the first. 4-2=2. now the answer is 6/2=3 the slope of this line would be 3.

How do you calculate the x-intercept of a line written in Standard Form?

Answers

To calculate the x-intercept of a line written in standard form you simply remove the "y" and solve for x. And you remove the "x" when solving for y.

y=0 , solve for x
x=0 , solve for y


Here is an example: (solving for x)

2x + 3y = 6
2x + 3(0) = 6
2x = 6
2x/2 = 6/2
x = 3

Here is an example: (solving for y)

2x + 3y = 6
2(0) + 3y = 6
3y = 6
3y/3 = 6/3
y = 2

Please help, due in 6 hrs (will mark brainliest and giving 85 points) will ask seperate question for the 85 points

Answers

Answer: If I'm being honest I only know parts A and B.

A. (4, 19) and (7, 7).

B. 4/1 or just 4.

Step-by-step explanation:

B. From point (7, 7) to (6, 11) is up 4 and left 1, rise over run is how you write the slope so it would be written as 4/1. Depending on you're teacher you can just put 4 and it can be correct, so, 4/1 or just 4.

PLZ HELP EASY QUESTION
Are days and months capitalized in Spanish?
Yes
No

Answers

no, they are treated as regular nouns
Hey :)

No, they aren’t capitalised

Hope this helps :)

Substitute the given value for x into each equation to determine the value of y.
1. y = 3x + 6; x = -4
2.3.2 - 8y = 12; x = 4
3. y = -43; x = -2

Answers

Answer:

Y=-6

Y= -1.1

Y=-43

Step-by-step explanation:


What is the length of DE?
2.9 units
7.2 units
12.5 units

Answers

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

Michael took an online test to get his Learner's Permit to drive. He was on question number 18 and the progress bar said he was 20%. How many questions are on this test?

Answers

im sorry i couldnt figure it out

Step-by-step explanation:

Ratios and Rates
Express each ratio as a fraction in the simplest form
1) 30 miles out of 30 miles
2) B blue cars out of 12 cars
3) 7 quarts to 84 quarto
4) 25 cups to 35 cups
5) 9 gallons to 36 gallons
6) 54 bootles out of 60 insects
7) 10 pennlos to 45 pennies
B) 28 dimes to 48 dimos
Express each phrase as a rate and unit rate
(Round your answer to the nearest hundredth)
Rate
Unit Rate
9) 130 miles on 4 gallons of gas
10) 9 inches of sno
w in 7 hours
11) 6 calculators cost $150.00
12) 8 pencils for 16 dollars
13) 10 chocolate bars cost 17 dollars
14) 7 dollars for 3 cans of tuna
15) 9 batteries cost 13 dollars
16) 14 dollars for 8 books
Math-Ads.com

Answers

Answer:

1) 1

2) 12/B

3) 12

4) 1  2/5

5) 4

6) 1  1/10

7) 4  1/2

8) 1  7/10

9) 32  1/2

10) 9

:( CAN SOMEONE PLEASE HELP ME

Answers

Answer:

I think that Nick is correct because you are going to have to make your answer positive and when you do the two fractions -4/9 + -6/9 are going to be   6/9 + 4/9 and there is already a addition sign in the last problem we are just going to keep it there. And when we add we get 10/9 or 1 1/9

If i get it wrong please don't hate im just in 7 grade ok :(

Answer:

Solution given:

Gobriella is correct.

Nick change - to + in second line.

Please help! Geometry.

Answers

I wrote them down for you

What is the prime factorization of 235

Answers

Answer:

5 x 47

Step-by-step explanation:

Hope this helps! <3

Answer:The prime factorization of 235 = 5•47.Step-by-step explanation:

The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.

The prime factorization of 235 = 5•47.

hope this help! ^^

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

How to find what the y-intercept represents?

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

#SPJ2

Answer:

Answer is A

Step-by-step explanation:

The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).

Answers

Answer:

X=1 or C

I hope this helps:)

Answer:

The Answer is C. x = 1

Hope This Helps!

Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)

Answers

Answer: D is the correct answer .

D. h(x)= (x-2)^2(x+4)(x-1)

Step-by-step explanation: For Plato users the correct answer is D .

The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The zeroes of the function are the point at which the function value becomes 0.

The function which have three distinct real zeroes is

h(x) = (x − 2)²(x + 4)(x − 1)

(x-2)² = 0

x = 2

(x+4) = 0

x = -4

x-1 = 0

x = 1

To know more about Function

https://brainly.com/question/12431044

#SPJ5

The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of miles between these two towns?

Answers

Answer:

45miles.

Step-by-step explanation:

If 8km = 5miles

hence the number of miles between the two towns = 120/8 × 5

= 15 × 5

= 45miles.

Answer:

75 mi

Step-by-step explanation:

120/8=15

15x5=75 mi

the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles

Answers

Answer:

85 miles.

Step-by-step explanation:

Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.

The equation of y-axis is of the form

Answers

Answer:

x=0

Step-by-step explanation:

The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.

Hence, x=0

Solve for k in the following equation:
m =
8kx
7.
- 6

Answers

Answer:

m=56kx-6

Step-by-step explanation:

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

These ordered pairs represent a proportional relationship. Use the interactive and the constant of proportionality to find the missing coordinates for the ordered pairs.

(3, 9), (A, 12), (5, 15), (6, B)

A =
B =

Answers

3,A,5,6 = A
9,12,15,B= B

Answer:

A=4 B=18

Step-by-step explanation:

х
0
3
6
9
12
у
10
19
28
37
Slope m=
Y-intercept b =
Equation

Answers

Answer:

no

Step-by-step explanation:

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

Five students write measurements for the three side lengths of various triangles.
Student
Side Lengths
1 3, 4, and 5
2 4, 7, and 10
3 5, 12, and 16
4 6, 8, and 10
5 7, 11, and 13
Which students' measurements form a right triangle? Select ALL that apply.
A Student 1
B
Student 2
С
Student 3
D
Student 4
I
E
Student 5

Answers

Answer:

student 3 i think yea

Step-by-step explanation:

PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss

Answers

(C) Infinitely many solutions

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the rate of interest. Give your answer as a percentage to the nearest tenth of a percent.

Answers

Answer: 5.5%

Step-by-step explanation:

Since the money invested has grown to $8300 and the principal was $600, this means the interest is:

= $8300 - $6500

= $1800

Simple interest = (Principal × Rate × Time)/100

1800 = (6500 × Rate × 5)/100

Cross multiply

1800 × 100 = 32500 × Rate

Rate = 180000/32500

Rate = 5.5%

what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?

Answers

I think its: 4 = 3(1) + b
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