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

Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?

Answers

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?​

Answers

Answer:

An example can be 14 + (-14) = 0

Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.

Step-by-step explanation:

Hope this helps!

Simon is selling candy bars for his class fundraiser. In each box of 56 candy bars, 18 are
peanut, and the rest are dark chocolate. Each dark chocolate candy bar costs $2.25.
If Simon raises a total of $117, selling a whole box, how much does each peanut candy bar
cost?
O $4.00
O $4.25
$2.00
$1.75
Nort

Answers

Answer:

it will be 1.75$

Step-by-step explanation:

56-18

38x2.25

117$ - 85.5$

31.5 / 18

What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)

Answers

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

one factor of 8x^3+1 is 2x+1 The other factor is?

Answers

First, write 8x^3 in exponential form (8 is basically the same as 2^3)


So that you have 2^3*x^3+1


Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)


So that it becomes (2x)^3+1^3



Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)

Expand the second bracket


So the two factors are (2x+1) and (4x^2-2x+1)

I just need a favor please use pemdas and if you can write your work thank you so much

Answers

Answer:

Do you need all 6 of them?

Answer and Step-by-step explanation:

w = -1

x = 6

y = 3

z = -2

32. Plug -2 for z and 6 for x.

(9(-2)) / 6

-18 / 6

3

33.

[tex]6^{2} - 3^{2}[/tex]

36 - 9

27

34.

[tex]3^{2} - (-2)^{2}[/tex]

9 - 4

5

35.

[tex]\frac{2(6)+3}{-2 + -1} \\\\\frac{12+3}{-3}\\\\\frac{15}{3} \\\\5[/tex]

36.

[tex]\frac{3(6)-(-2)}{-(-1)} \\\\\frac{18 + 2)}{1)} \\\\\frac{20}{1} \\\\20[/tex]

37.

[tex]\frac{6 + -1}{3 - (-2)} \\\\\frac{5}{5}\\\\1[/tex]

#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)

Can S1 help pls and ty

Answers

Answer:

It is 52

Step-by-step explanation:

Hope this helped have an amazing day!

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d​​

Answers

Answer:Example 1:

Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.

S8=1(1−28)1−2=255

Example 2:

Find S10 of the geometric sequence 24,12,6,⋯.

First, find r.  

r=r2r1=1224=12

Now, find the sum:

S10=24(1−(12)10)1−12=306964

Example 3:

Evaluate.

∑n=1103(−2)n−1

(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)

Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023  

In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1.  Then as n increases, rn gets closer and closer to 0.  To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

Example 4:

Find the sum of the infinite geometric sequence

27,18,12,8,⋯.

First find r:  

r=a2a1=1827=23

Then find the sum:

S=a11−r

S=271−23=81

Example 5:

Find the sum of the infinite geometric sequence

8,12,18,27,⋯ if it exists.

First find r:  

r=a2a1=128=32

Since r=32 is not less than one the series has no sum.

Step-by-step explanation:

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answers

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

5765/574

Step-by-step explanation:

there u go lol

50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?

Answers

Answer:

Southwest

Step-by-step explanation:

Southwest always has good timing.

Answer:

SouthWest airlines

Step-by-step explanation:

It is the best Airlines and will always arrive on time

is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?

Answers

Answer:

true

Step-by-step explanation:

I’ll mark you brainlist write in y=mx+b form

Answers

Answer:

y=-1/8x +4

Step-by-step explanation:

1. First, write the equation in point-slope form: y-y1=m(x-x1)

y-1=-1/8(x-24)

2. Distribute -1/8 to x and -24

-1/8 times x = -1/8x

-1/8 times -24 = 3

y-1=-1/8x+3

3. Add 1 to both sides

y=-1/8x +4

Y=|x+2|-3 find the axis of symmetry

Answers

the answer is (-2,-3)

At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?

Answers

Answer:

It didn’t go up, it went down 3 degrees

Step-by-step explanation:

It’s negative degrees so the less negative it is the higher it is.

Answer:

it rose by -3C, or went down 3C

Step-by-step explanation:

1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%​

Answers

Martin still has 30% of the problems left to do.

Answer:

D)30%

Step-by-step explanation:

which statement is true ​

Answers

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

Factor completely 5b^2-11b+6

Answers

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.

Answers

Answer:

y= -5x/4 + 3

Step-by-step explanation:

To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).

In the equation y=2X+7 which
number is the slope?
Slope (m)

Answers

Answer:

2 is the slope

Step-by-step explanation:

the equation is y=mx+b so if it is

y= 2x+7 that means the slope is 2

Answer:

2

Step-by-step explanation:

This equation is in y=mx+b form.

Slope = m

Y-intercept = b

This will give you the slope of 2 :)

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:

26 cm

Step-by-step explanation:

Given:

Length = 24 cm

Width = 8 cm

Height = 6 cm

Required:

Diagonal of the box

SOLUTION:

Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,

a, b and c are the dimensions of the box, and d is the length of the diagonal.

Plug in the value into the formula

[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]

[tex] 676 = d^2 [/tex]

[tex] \sqrt{676} = \sqrt{d^2} [/tex]

[tex] 26 = d [/tex]

Length of diagonal of the box = 26 cm

Can someone help me really quick!?

Answers

Answer:

Yes its 2nd, 4th, and 5th

Step-by-step explanation:

On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read

Answers

Answer:

1/2 of her book

Step-by-step explanation:

1/6 + 2/6 = 3/6 = 1/2

Answer:

I think that it is 1/2 of her books

Step-by-step explanation:

Hope this helped have an amazing day!

12х - 5 >3х^2 +5
I am confused how to solve this.

Answers

Answer (3 different forms):

1st Form:

[tex]2+-\frac{1}{3} \sqrt{6} <x<2+\frac{1}{3} \sqrt{6}[/tex]

2nd Form:

[tex]-\sqrt\frac{2}{3}+2<x<\sqrt\frac{2}{3}+2[/tex]

3rd Form:

[tex]\frac{6-\sqrt{6}}{3}<x< \frac{6+\sqrt{6}}{3}[/tex]

Or

[tex](\frac{6-\sqrt{6}}{3}),(\frac{6+\sqrt{6}}{3})[/tex]

Step-by-step explanation:

You can see that I put three different forms of answers, but they are all still equivalent answers. The reason why I got three different answers is because I put the inequality in three different calculators and they all got me different answers, but all three are still equivalent. The following three attachments are images of the three calculators that I used to solve.

Hope this helps and answers your question! :)

Who can answer my question in square LMNO find the length of LM

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field

Answers

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

Which equation represents a line with a slope of -2/3

and passes through the point (6,-2)?

Answers

y= -2/3x +2
hope this helped!!

I need help solving this ! I would appreciate it

Answers

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.

Answers

Answer:

a) 44[tex]\sqrt{3}[/tex]/3 feet

b) .3 minutes

Step-by-step explanation:

We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by

for b), simply divide a) by 75 ft/min, which is approximately  .3 minutes.

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