You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t^2 +12t. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball ?

Answers

Answer 1

Step-by-step explanation:

The height that your feet are above the ground is given by the function :

[tex]h(t) = -16t^2 +12t[/tex] ...(1)

We need to find the maximum height your feet will be above the ground.

For maximum height, put dh(t)/dt = 0

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]

Now put t = 0.375 s in equation (1) as follows :

[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]

So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.


Related Questions

What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?
O y+1=(x - 8)
Oy+8= 5 (1-1)
oy-1-5(x + 8)
Oy-8= + (x+1)

Answers

Answer:

y-1 = 5(x+8)

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Given

Slope m = 5 (assumed value)

Point (-8,1)

Substitute the given data's into the formula

y -1 = 5(x-(-8))

y-1 = 5(x+8)

Hence the required equation is y-1 = 5(x+8)

What do I do I’m lost I need help?

Answers

Answer:

27

Step-by-step explanation:

the sequence is 4 added to each number. 4 added to 23 is 27

Answer:

C.27

Step-by-step explanation:

We need to find the pattern in order to determine the next term of the sequence. By looking at the terms, we can observe that each one is 4 bigger than the previous term, therefore we can assume that the next term will also be 4 bigger than the last term we are given (23) so we add 4 to that (23+4) and we get 27.

Ms. Sanchez bought 3 pounds of turkey to make sandwiches for her family. She uses 1/3 of a pound for each sandwich. How many sandwiches can she make?

Answers

Answer:

the  total number of sandwich required is 9

Step-by-step explanation:

The computation of the number of sandwiches made is as follows:

She bought 3 pounds

And one third of pound she required for each sandwhich

So, the total number of sandwich required is

= 3 ÷ 1 ÷ 3

= 3 × 3

= 9

Hence, the  total number of sandwich required is 9

The same is to be considered

Margo estimated 182 divide 5 to be between 30 and 40 which basic facts did she use the photo has the basic facts

Answers

Answer:

Step-by-step explanation:

Margo estimated that 18 is close to 20 and 20/5=4

18 is also close to 15 and 15/5=3

so she figured her answer will be between 30 and 40

Answer:

[tex]15 \div 5[/tex]

Step-by-step explanation:

15 is the closest nuber to 18 making it a better assumption for her.

Please help; stuck on this one...

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

HELP ASAP WILL MAKE BRAINLIST Answer the following questions.
1) Solve. Gravitation acceleration is 32 ft/sec.
Darnell kicked a football from the ground at an angle of 45° from horizontal. The
initial velocity of the football was 120 feet/second. At 2 seconds into the flight, how
high was the ball (y
) and how far downfield was it (c
)?

Answers

Answer:

lol can I get pic of the question

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

C

Step-by-step explanation:

trust me on this one

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you have enough money
in the account to purchase the car? Round your answer to the nearest whole number

Answers

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

Which equation is equivalent to the equation 6x + 9=12

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

Roll a fair six sided die 1000 times. Out of 1000 rolls how many times an even number

Answers

Answer:

500 times!

Step-by-step explanation:

the probability of a die showing an even number is 3/6 i.e, 1/2. for one role the probability of getting an even number is 1/2, therfore for a thousand role = 1000 x 1/2 = 500 times.

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?

Answers

Answer:

30 students

Step-by-step explanation:

18 divided by 3 is 6

6 x 2 = 12

12 + 18 = 30

Answer:

30 i just took the test 28m ago and it said it was right

Step-by-step explanation:

[tex]\\ jn j j j[/tex]

Answers

Answer:

glhIblzikdjbgjdzgbobrgbzoerbgoernbs

Step-by-step explanation:

ur welcome ;)

Answer:

njjjj

Step-by-step explanation:

The sum of two numbers is 60. The larger number is 20 more than the smaller number. What are the numbers? Larger number: Smaller number: ​

Answers

the larger number is 40 and the smaller number is 20. explanation: 20+20=40 and then 20+40=60.

0 of 10
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?

Answers

Answer:

1038

Step-by-step explanation:

you add 308 and 730

Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?

Answers

The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.

How to Interpret x and y intercepts?

The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.

We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.

We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.

Read more about Intercepts at; https://brainly.com/question/3951754

#SPJ2

Write the equation of the table shown below.
Х
0
2
5
9
12
у
4
6
9
13
16

Answers

Answer:

sorry... but the image is all black

I cant see anything

At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollar sand cents?​

Answers

Answer:

$8.96

Step-by-step explanation:

Sorry if its to late

ABCD is a parallelogram. If m

Answers

mario in mario 64 go: yayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayawhat am i

Friendship’s soccer team purchased uniforms and equipment for a total of $912. The equipment cost $612 and the uniforms cost $25 each. How many uniforms did the school purchase?

Answers

Answer:

12

Step-by-step explanation:

912 - 612 = 300

300 ÷ 25 = 12

The number of uniforms the school purchased based on the given data and equation formation will be $12.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's suppose the school purchase x number of uniforms.

Total cost = equipment cost + x uniforms cost

912 = 612 + 25x

912 - 612 = 25x

25x = 300

x = 12

Hence "The number of uniforms the school purchased based on the given data and equation formation will be $12".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the other leg? (4 points)
Question 3 options:

1)

18 millimeters

2)

20 millimeters

3)

24 millimeters

4)

28 millimeters

Answers

Answer: 24 millimeters

the length of the other leg is x (x > 0)(millimeters)

using Pythagoras theorem with the right triangle, we have:

x² + 10² = 26²

⇔ x² = 26² - 10² = 576

=> x = 24 (mm)

Step-by-step explanation:

Step-by-step explanation:

(26)^2 = (10)^2 + BC^2

676 = 100 + BC^2

576 =BC^2

BC = 24 mm

The total cost in dollars to buy uniforms for the Ping-Pong team can be found using the function c=22.50+5 where u is the number of uniforms bought.if there are at least 7 players but not more than 10 players on the Ping-Pong team, what is a reasonable range for the situation? A.{7,8,9,10} B.{162.50 , 185, 207.50, 230} C. 7≤ x ≤ 10 D. 162.50 ≤ y ≤ 230

Answers

answer: b

explanation:

it’s asking for the range so it can’t be c or d because those are used in continuous data only so it’s between a and b but it can’t be a as a is the range of players but b is the range of the cost so the answer would then be b

At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?

For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true

Answers

Answer:

all answers are true I think

d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.

e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.

f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?

Is in less time than B. who has more power​

Answers

Answer:

E

Step-by-step explanation:

What are the numbers that multiply to -12 but add to +1?

Answers

Answer:

4 and -3

Step-by-step explanation:

Demons answer this for me.

Answers

Answer:

Step-by-step explanation:

if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.

then replace y by 40yd in the equation like

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x & 3x

Step-by-step explanation:

sum: 2x + 3x = 5x

product: 2x * 3x = 6[tex]x^{2}[/tex]

Choose all of the transformations that are rigid motions.

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.

Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.

Dilation is not a rigid transformation.

All the transformations attached are rigid transformations.

At the Houston Zoo there are 3 elephants for every 2 Cheetahs. If there are a
total of 200 animals at the Zoo, how many of these animals are elephants?

Answers

first of all that depends on the zoo animals

second of all, i just went over there yesterday

third of all, i’m pretty sure that question has to be on the zoo and not you

HELPP ILL GIVE BRAINLIEST IF ITS RIGHT HELP HELP

Answers

It’s F can I Get a Brainlist plz it will help answer ppl answers

Answer:

A,C,B,E,G,F

Step-by-step explanation:

n mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

also

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

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