Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3

What is the maximum height of the soccer ball? _______________________

How long will it take the ball to reach the ground?

Answers

Answer 1

Answer:

The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

[tex]h(t)=-16t^{2} +27t+3[/tex] (1)

[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]

[tex]t_{max} =\frac{27}{32}[/tex]

[tex]t_{max} =0.84\: u[/tex]

Now, we just need to put t(max) into equation (1) to find h(max)

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=14.39 \u[/tex]  

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

[tex]0=-16t^{2} +27t+3[/tex]

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    


Related Questions

Please help it’s geometry will mark brainliest!

Answers

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

I NEED HELP WITH THIS RIGHT NOW!!

Kurt is training to run in a race. He recorded the distances and times of his trainings runs last week. On which day was the ratio of time to distance the greatest?

Answers

I think it’s D sorry if im wrong

Answer:

c

Step-by-step explanation:

just derived everyone

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?

Answers

Answer:

Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

Step-by-step explanation:

Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:

100 Panini + 80 Upper Deck + 20 Topps = X

100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X

260 + 460 + 30 = X

X = 750

80 Panini + 60 Upper Deck + 60 Topps = X

80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X

208 + 345 + 90 = X

X = 643

60 Panini + 40 Upper Deck + 100 Topps = X

60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X

156 + 230 + 150 = X

X = 536

70 Panini + 50 Upper Deck + 80 Topps = X

70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X

182 + 287.5 + 120 = X

X = 589.5

Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

X+2y=0
12y= -6x

Plzzz this is due 11:59

Answers

Answer:1. X+2y=0 answer:−2y     2. 12y= -6x answer:x=−2y

Step-by-step explanation:

Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?

Answers

Kim’s is faster because she plants 12 flowers per hour while Bens plants 11 flowers per hour

What is the total area of the figure below?​

Answers

so: to calculate the area of a triangle is equal to (bxh)/2 and for the trapezoid is ((a+b)/2)xh
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2

hello please help i’ll give brainliest

Answers

Answer:

landslide

Step-by-step explanation:

MARK AS BRAINLEST!!!

Answer:

earthquake okkkkkkkkkkkkk

PLZZ HELP
2/3 divided by 5

Answers

Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

Answer:

2/15

Step-by-step explanation:

(Keep Change Flip) KCF

2/3  / 5 =

2/3 *1/5 = 2/15

When dividing you do the opposite which is multiplication.

Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3

Answers

Answer:

no

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

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99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove

Answers

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Area = πr² = π(12)² = 144π = 452.16 ft²

Which one is an example of an expression?

Answers

Answer:

Step-by-step explanation:

5x+5

Answer:

the first option will the correct answer

1121 help44445555 ty

Answers

Answer:

B

Step-by-step explanation:

Triangle Review 2.0 (Math i need help please)

Answers

Answer:

A= 30

Step-by-step explanation:

This requires several steps.

First, you need to find the 2 other missing angles.

One can be found easily by substracting 130 from 180

so 180-130 = 50

The other angle is the same as 8x+4

Now set up your equation

180=3x-6 + 8x+4 +50

180 = 3x + 8x -6 + 4 +50

180+6-4-50 = 11x

132 = 11x

132/11 = x

12 = x

Now plug in 12 for x in your angle A

A=3x-6

A=3 * 12 - 6

A=36 - 6

A= 30

Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20

Answers

The estimated equation of line is y = 8x+ 20

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Two points on the line (5, 60), (3, 44)

[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]

[tex]y- 60 = \frac{16}{2} (x-5)[/tex]

[tex]y = 8 (x-5)+ 60[/tex]

[tex]y = 8x+ 20[/tex]

Hence, the estimated equation of line is y = 8x+ 20

Learn more about equation of line

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O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

x=48

Step-by-step explanation:

Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?

Answers

Given:

Cost of each pizza including tax = $8.55

Number of pizzas = 4

Tip = 15%

To find:

Her total bill.

Solution:

We have,

Cost of 1 pizza including tax = $8.55

Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]

                                                = [tex]\$34.2[/tex]

It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.

[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]

Thus, the amount of tip is $5.13.

Now the total amount of bill is:

[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]

[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]

[tex]\text{Total amount of bill}=\$39.33[/tex]

Therefore, the total amount of bill is $39.33.

Someone please help me!!!

Answers

length of side CD is 32

May I have help to figure out how to do this? It is confusing! :(

Answers

Answer:

it should be 80%

Step-by-step explanation:

I hope this helps

help me please this is super hard for me

Answers

Answer:

D

Step-by-step explanation:

Answer:

Answer is D I believe

Step-by-step explanation:

shows all of the possible outcomes

х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20

Answers

Answer:C 3/5

Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math

The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?

Answers

Answer:

35 inches

L×W=A

length×width=area

Answer:

35

Step-by-step explanation:

A = wl

7 x 5 = 35

Mark as Brainliest

Please answer this math question for me

Answers

Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

The equation of this line is C; it is y=-4x due to the fact that the rise over run is 8/-2. It is -2 as you are shifting to the left to get to (0,0). It is divisible into an equal number which is -4.

Answer:

y= -4x

Step-by-step explanation:

Solve for the value of a in the triangle below. Round your answer to the nearest tenth

Answers

Answer:

........................

What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

i need help plz :( i don’t understand

Answers

The period stretches from 0 to pi so the answer should be pi

What is the LCM of 4 and 8

Answers

Answer:

8

Step-by-step explanation:

Let me make a table for you.

4,8,

8,

8 would be your answer.

Let me know if i can help you more!

How do you solve 12*0.2^8=x ?

Answers

Answer:

[tex]x = 3.072 * 10^{-5}[/tex]

Step-by-step explanation:

[tex]x = 12*0.2^8[/tex]

[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]

[tex]x = 3.072E-5 = 0.00003072[/tex]

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