A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade

Answers

Answer 1

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.


Related Questions

Solve for x Log2 x=-5

Answers

i went through the process and got 6

Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3

Answers

Answer:

raj

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Have a nice day

Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.

Answers

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

First, Diana scores 12 points in total with three arrows. On her second turn, she scores 15 points. How many points does she score on her third turn?

Answers

Answer:

Third turn point = 21 points

Step-by-step explanation:

Given:

First turn point = 12

Second turn point = 15

Find;

Third turn point

Computation:

First turn point = 12

Assume;

Point for outer circle = a

Point for inner circle = b

So,

3a = 12

Point for outer circle = 4 point

Second turn point = 15

So,

2a + b = 15

2(4) + b = 15

Point for inner circle = 7

Third turn point = 3 x 7

Third turn point = 21 points

expand and simplify
2(3x - 5) + 3(x + 3)
can someone do this ASAP pls with no links :)​

Answers

Answer:

9x-7

Step-by-step explanation:

2(3x-5) = 6x - 10

3(x+3) = 3x + 3

= 9x-7

Answer:

Step-by-step explanation:

2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3

                         = 6x - 10 + 3x + 9

                         = 6x + 3x - 10 + 9   {Combine like terms}

                         = 9x - 1

Help:( me please I don’t know what to do I completely for got it

Answers

Answer:

x=1

y=-2

point form- (1,-2)

can someone please help me!!!! ​

Answers

Answer:

10 * 9 = 90

90/2 = 45

45 cm^2

45 cm :) forgive me if I’m incorrect

Help out please !!!!

Answers

Answer:

B maybe

Step-by-step explanation:

I belive the answer would be b

Meagan bought 18 apples for $8.10. Whats the unit price?

Answers

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

BERE
Which function represents exponential decay?
o
f(x) = {
f(x) = (-)
o pux) = 4(-3)
Of(x) = 4

Answers

Step-by-step explanation:

Sorry I don't kNkw the amswer

Which of the following does NOT give you congruent angles?
CPCTC
Midpoint
Alternate Interior Angles
Triangle Sum Theorem

Answers

Answer:

Triangle Sum Theorem

Step-by-step explanation:

These do not give you congruent angles

the value of each square root

Answers

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

Factor the expression completely

8x2-18

A. 2(2x - 3)(2x + 3)

B. 2(2x+3)(2x - 3)

C. 2(4x2 – 9)

D. 2(4x+3)(x - 3)​

Answers

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)  

2 ( 2x+3) (2x-3)

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

Is this right? ASAP PLS HURRY!

Answers

no it isn’t u have to swap them out. is this right? asap pls hurry

HELlLlLlPllLl is it
10

2

1

9

Answers

Answer:

2

Step-by-step explanation:

Answer: 2
As you can see, In the list of Numbers there are TWO SETS of 8.5 (As shown, I circled the two) meaning you should put 2 "x's" over 8.5. If you need more of an explanation, please let me know.

If available please give me a Branliest. It would be much appreciated, and it would also help me answer more and more difficult questions! Good luck.

-MathHotdog •~•

The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more

Answers

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

[tex]\text{Solve for x:}\\\\3x + 65 = 523\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]{x=152.666....[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

3x+65=523

3x=523-65

3x=458

x=458/3

x=152.66...

[tex]\text{ Thank ~you!! }[/tex]

Please help i'm struggling with this!

Answers

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

Answers

Answer:

3mm brainliest please

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

9mm times 1:3 of the rectangle is 245

Can anyone help me out with this I would truly appreciate it

Answers

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

6t - 20 - 32u

t = 6

u = 1/4

Step 2: Evaluate

Substitute in variables:                                                                                     6(6) - 20 - 32(1/4)Multiply:                                                                                                             36 - 20 - 8Subtract:                                                                                                            8

Answer:

8

Step-by-step explanation:

Given

6t - 20 - 32u ( substitute the given values into the expression )

= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )

= 36 - 20 - 8

= 16 - 8

= 8

How long does daily skips take

Answers

About 30 minutes a day

g(x) = 3x -1. Find x such that g(x)= 2​​0​.
g​(x)= 3x+1. Find x ​​​such that g(x)= 22​​​​.​

g(x)= ​2x-5. Find g(1/2) and g(a)=9​​​​​​9.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0​​​​​​​​​​

Please solve this quickly. I need it right now​​​​​. No silly answer will not be allowed.

Answers

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

According to the graph, what is the factorization of x2 - 6x + 5?

A. (x + 5)(x+1)

B. (x - 5)(x+ 1)

C. (x - 5)(x - 1)

D. (x + 5)(x - 1)​

Answers

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

How to determine the factorization?

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

Read more about factorization at:

https://brainly.com/question/11579257

#SPJ1

What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2

Answers

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

Can i plz get some help been stuck for while
What is the volume of the shape shown

Answers

Answer:

Yea sure its 102.5meters squared

What is the value of x?

Answers

Answer:

x = [tex]29^{o}[/tex]

Step-by-step explanation:

Looking at the right triangle we see two congruent sides, which means that we can find the angles:

180 - 64 = 116° for both bottom angles of the right triangle, so 58° (116°/2).

Looking at the middle angle we know that left corner from the left triangle is 58° so the angle in the middle would be 180 - 58 = 122°.

Since the right triangle equals to 180° then we can find the missing values including x:

180 - 122 = 58° is the total angle for each corner of the right triangle. So x would be 58/ 2 = 29°.

Therefore x = 29°.

Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

secA = [tex]\frac{65}{63}[/tex]

Step-by-step explanation:

cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]

This is a right triangle with hypotenuse = 65, opposite = 16 and

adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63

Then

secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]

I just want to make sure or is it b?

Answers

I believe the answer should actually be

C.) It is a one to one function

A one to one function is a function in which the x and y values never repeat. Each value of x is different every time, and they never have the same values of y.

Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.

A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent

Answers

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

translation (aka shifting)rotationreflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.

Answers

Answer:

A, or "The height does not lie on the base because it's perpendicular to the base."

Step-by-step explanation:

EDGE 2021

Option A is correct, the height does not lie on the base because it is perpendicular to the base.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.

We have to find the Jalen’s error.

As we know that height does not lies on the base because it is perpendicular to the base.

The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.

Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

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