The function f(t) = -16t2 + 64t + 5 models the height of a ball that was hit into the
air, where t is measured in seconds and h is the height in feet.
This table represents the height, g(t), of a second ball that was thrown into the air.
Time,
(in seconds)
0
Height, g(t)
(in feet)
4
1
2
36
36
4
3
Which statement BEST compares the length of time each ball is in the air?
The ball represented by f(t) is in the air for about 4 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 5 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 5 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 4 seconds.

Answers

Answer 1

The best statement that compares the length of time each ball is in the air is seen in the second option.

What is the function of a quadratic equation?

A quadratic function follows the condition: f(x) = ax² + bx + c. Here (a, b, and c) are real numbers and a ≠ 0.  

From the given information:

The function f(t) = -16t² +64t + 5 models the height of a ball

Where;

time (t) ⇒ secondsheight (h) ⇒ feet

The table given is as follows:

Time (in seconds)                 height, g(t) in feet

0                                             4

1                                              36

2                                              36

3                                              4

From the table, when t = 0, the function becomes:

f(t) = -16t² +64t + 5

f(t) = -16(0)² + 64(0) + 5

f(t) = 5

Therefore, we can conclude that the best statement that compares the ball is: f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in the air for about 3 seconds.

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Related Questions

Find LJ and mGM if KP=PL and GH=36 ft


find m^gm

Answers

Answer:
M^GM = 77°
Explanation step by step:
full circle = 360°
arc GMH = arc GNJ, SO:
arc GMH = (360°-52°/2 = 154°
because line MP is perpendicular to line GH, arc
GM = arc MH
arc GM = 154°2 = 77°

Find the lateral area of the prism

Answers

Answer: 50, 208 mm²

Step-by-step explanation:

    The lateral area is the surface area excluding the bottom, also known as the base. This means we will be solving for two rectangles and two triangles.

[The Rectangles]

    They are both congruent, so I will do the following;

A = 2(L * W)

A = 2(7 mm * 24 mm)

A = 2(168 mm)

A = 336 mm²

[The Triangles]

    The area of a triangle is [tex]\frac{B * H}{2}[/tex] However, they are both congruent. I will do the following;

A = B * H

A = 24 mm * 2,078 mm

A = 49,872 mm²

[The Total]

     Lastly, I will add them together.

336 mm² + 49,872 mm² = 50, 208 mm²

Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art. science: MAD of 1.14 math: MAD of 1.6 Spanish: MAD of 1.2 art: MAD of 1.93 In which class were his scores the closest together?​

Answers

Answer:

science

Step-by-step explanation:

k12 test

i need help with this ​

Answers

D. (X+3)(X-10) I think

Will mark brainlyest!! Please help.

Answers

Answer:

The X-coordinates will decrease by 6 units because, anytime you move something to the left on a coordinate plane you are decreasing the x value

Answer:

The x-coordinates will decrease by 6.

Step-by-step explanation:

So when you look at a graph, the left side has smaller numbers than the right side because as you go down it becomes negative and the right means it is going positive. So if you are moving to the left you are getting smaller so you are decreasing. The other options with y-axis is not true because the y-axis is vertical.

Fill in the Blanks:
To factor p^2 - 5p -14 we need to find ___ of ____ that will also add to equal ____.​

Answers

Answer:

We need to find Factors of 14 that will also add and equal to 5

Step-by-step explanation:

Trinomial factorising

Answer:

see explanation

Step-by-step explanation:

p² - 5p - 14

We need to find the factors of the constant term (- 14) that will also add to give the coefficient of the p- term (- 5)

the factors are - 7 and + 2 , since

- 7 × + 2 = - 14 and - 7 + 2 = - 5

then

p² - 5p - 14 = (p - 7)(p + 2) ← in factored form

SOLUTION 6 Show that -0.75(-4f + 12) and (5f + 9) - (2f+ 18) are equivalent expressions.​

Answers

[tex]-0.75(-4f+12)\\\\=-\dfrac 34(-4f +12)\\\\=-\dfrac 34 \cdot (-4f) - \dfrac 34\cdot(12)\\\\=3f-9\\\\\\(5f+9)-(2f+18)\\\\=5f+9-2f-18\\\\=3f-9\\\\\text{Hence, the expressions are equivalent.}[/tex]

y (y + 2) = y2 - 6
also
2 [x - (1-3x)] = 3 (x + 1)

Answers

Answer:

Step-by-step explanation:

y(y+2)=y²-6

y²+2y=y²-6

2y=-6

y=-3

2[x-(1-3x)]=3(x+1)

2[x-1+3x]=3x+3

2(4x-1)=3x+3

8x-2=3x+3

8x-3x=3+2

5x=5

x=1

Find the surface area of the regular pyramid.
20 mm
Area of base
is 440.4 mm
16 mm

THE ANSWER IS 1240.4!!

Answers

1240.4!!

PLS MARK ME BRAINIESTR :D

What is the trigonometric ratio for cos D ?

Answers

Answer:

Here,

H=75P=72B=21

We know that cosD= b/h

=21/75

=7/25

There are two mechanics who work on cars. For each mechanic, the relationship between x, the number of hours worked, and y, the total cost, in dollars, is described below. • The equation y = 36x represents the total cost charged by Mechanic A for the number of hours worked. The graph shown below represents the total cost charged by Mechanic B for the number of hours worked.​

Answers

Answer:

B

Step-by-step explanation:

if you divide the 2/88 you should get a price of 44. So Mechanic B charges $44 while Mechanic A charges $36. Subtract 44-36 and get 8. Since Mechanic B charges more, it would give you the answer listed in B.

The equation satisfies option B, Mechanic B charges $8 more per hour then mechanic A.

What is graph?

a collection of all points whose coordinates satisfy a given relation (such as a function) a diagram that represents the variation of a variable in comparison to that of one or more other variables, such as a series of one or more points, lines, line segments, curves, or areas

The fundamental subject of graph theory is graphs.

Given the Equation for cost charged by Mechanic A

y = 36x

where y = total cost and x = hours worked

graph shows the  total cost charged by Mechanic B

from graph we the coordinates (0, 0) and (2, 88)

when x = 0, y = 0 and when x = 2,  y  =  88

the equation satisfy the condition is

y = 44x

cost for one hour for Mechanic A

y = 36x (x = 1)

y = $36

cost for one hour for Mechanic B

y = 44x (x = 1)

y = $44

Mechanic B is $8 more than Mechanic A

Hence Mechanic B charges $8 more per hour then mechanic A.

Learn more about graph;

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#SPJ2

RIGHT ANSWER GETS BRAINLIST 100 POINTS

Samir is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a blue fabric.

How much fabric does Samir need in order to cover 5 of these blocks?


12 cm²

34 cm²

60 cm²

170 cm²

Answers

Answer:

170 cm

Step-by-step explanation:

2 * 1 1/2 * 2 = 6

1 1/2 * 4 * 2 = 12

2 * 4 * 2 = 16

In total: 6 + 12 + 16 = 34.  

Samir needs to cover 5 of these blocks so: 34 x 5 = 170

I also did the quiz.

Answer: 170cm

Step-by-step explanation: I did the test!! From k12

Draw an area model. Then solve using the standard algorithm. 273 x 346.

Answers

94458 square unit using lxw to solve for area

Answer:

[tex]273*346=94,458[/tex]

Step-by-step explanation:

x            200    +     70     +     3

300    60,00    21,000     900  =   81,900

+                                                    +

40       8,000    2,800      120   =  10,920

+                                                    +

6          1,200      420         18    =  1,638

                                                       94,458

Juan's family and Ethan's family go to a food stand.
• Juan's family buys three hot dogs and four drinks for $18.50.
• Ethan's family buys five hot dogs and four drinks for $25.50.
What is the cost of one drink at the food stand?

Answers

Answer:

1 hotdog is $3.5.

1 drink is $2.

Step-by-step explanation:

18.50= 3x+4y(times 5)

25.50=5x+4y(times -3)

92.5=15x+20x

-76.5=-15x+-12y

16=-8y

2=y

18.50=3x+4(2)

10.50=3x+8

10.50=3x

3.5=x

           

y= 2x+5 what is the gradient and y-intercept?

Answers

The awse is b) :B...... ur welcum


On an assignment, there are two true or false questions. You have no idea what the
correct answer is to either one so you guess.

What is the probability that you get both of them right by guessing?

Answers



Un 45% según yo.
Si lo piensas bien ese dicho porcentaje tiene una probanilidad de un cero hasta un 60.

Ya que cada quién tiene su propio porcentaje y lo que le venga a la mente

How do you algebraically prove that two lines are parallel, and that two lines are perpendicular? Explain, and give a pair of equations for an example of each.

Answers

Parallel lines have the same slope (the number before x).
Y=5+2x
Y=8+2x

Perpendicular lines have same slope but opposite signs

Y=5+2x
Y=7-2x

I would like it if I could get a accurate answer.

Answers

Answer:

60°

Step-by-step explanation:

the triangle need to have 180°. The up right corner is 60 because 120 + 60 = 180. Then I extended to rhombus where you have two sets of same angles. 125 + 55 = 180. 125 + 125 = 250. 360 - 250 = 110. 110 ÷ 2 = 60

Sara bought 12 pencils for $1.44. What is the cost per pencil?

Answers

Answer:

Step-by-step explanation:

each pencil costs $8.33.

12÷$1.44=$8.33.

hope this helps!

mark me brainliest as well please.

You divide total cost with number of pencils

1.44/12 = 0.12

Find the value of x. ​

Answers

Answer:

26

Step-by-step explanation:

im pretty sure this is it but sorry if it aint

find the mean of 3,2,2,5,1,3,2,0,5

Answers

Answer:

2.56

Step-by-step explanation:

(3+2+2+5+1+3+2+0+5)/9=2.55555555556...

Annual snowfall (in inches):
20, 16, 20, 17.5, 19.5, 18, 23
Mean =
Median =
What is the mean and the median?

Answers

Answer:

Mean is all the numbers add up and divide how many number were there. The Median is to line up all in order and the middle on.

Step-by-step explanation:

Answer:

Mean =19.142857142857

Median =19.5

Step-by-step explanation:

I need help with math???

Answers

Answer:

oranges lasts for 9 days

Step-by-step explanation:

To find out the number of days, we have to divide the total oranges by the quatity of oranges used each day.

Number of days = Total oranges ÷ number of oranges used per day

                           [tex]\sf = 7\dfrac{7}{8} \ \div \dfrac{7}{8}\\\\ = \dfrac{63}{8} \ \div \dfrac{7}{8}\\\\ =\dfrac{63}{8} * \dfrac{8}{7}\\\\ = 9[/tex]

Fraction division:

Keep the first fraction

Change division to multiplication

Flip the second fraction

Answer:

9 days

write 7/8x9, put 1 under 9.

7x9=63

8x1=8

63/8 simplified is 7 7/8

Step-by-step explanation:

Please help me with this math problem!! :) Will give brainliest!!

Answers

Answer:

Step-by-step explanation:

a quadrilateral has exactly 2 congruent sides. wich quadrilateral types could it be? wich quadrilaterals could not be ?​

Answers

i could be a trapezoid,
couldn’t be a parallelogram rectangle rhombus square

Colin put a pie in the oven at 1:35 p. M. He took the pie out at 2:17 p. M. How long was the pie in the oven?

Answers

Answer:

42 minutes

Step-by-step explanation:

there are 60 minutes in one hour.

from 12 pm, 1 hour and 35 minutes have passed to get to 1:35 pm

from 12 pm, 2 hours and 17 minutes have passed to get to 2:17 pm

we are trying to figure out the start to end time, or the difference between the times

2 hours and 17 minutes - 1 hour and 35 minutes

1 hour = 60 minutes

if we convert everything to minutes we can get a definitive time in one single unit

2 hours = 1 hour * 2 = 60 minutes * 2 = 120 minutes

1 hour = 60 minutes

plug these in

(120 + 17) minutes - (60 + 35) minutes

= 137 minutes - 95 minutes

= 42 minutes as our answer

What would be the BEST formula to model the volume of the flower planter shown?
A)
volume of a cone
B)
volume of a cylinder
c
volume of a triangular prism
D
volume of a rectangular prism

Answers

Answer:

B

Step-by-step explanation:

if it's one plant it's b, if it means more than one then probably D

Answer:

D) Volume of a rectangular prism

Step-by-step explanation:

Sally's school is 2.5 km long. How many meters long is Sally's school

Answers

Answer: Sally's school is 2,500 meters long. Hope this helps!

Answer:

2500metres

Step-by-step explanation:

we all know that 1km is 1000 metres

so I take 1000metres×2.5km =2500

what is the volume of a box with side lengths that are 20inches? use the formula V= s to the third power, where s is the length of one side

Answers

Answer:

8000 in^3

Step-by-step explanation:

V = s^3

  = 20^3 = 8000 in^3

Please HELP !! Find the SLOPE of the LINE

Answers

Answer: The slope is -2/1

Step-by-step explanation: We go 2 up and 1 to the left, meaning we get 2 over -1, to simplify, -2/1

Note: When we go down or to the left its negative, when we go up or to the right its positive

Answer: The slope is -2/1

Step-by-step explanation:

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