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

Find the Domian and Range.

Answers

Answer:

Domain: [-5,5]

Range: [-5,5]

Step-by-step explanation:

Domain: the set of possible values along the x-axis.

Range: the set of possible values along the y-axis.

Plz help fast!

Which type of association does each scatterplot
show?

A. Positive,
B. Negative,
C. No Association.

Answers

A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps

i need to find the measure of the exterior angle of the triangle ​

Answers

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

plz help me ........

Answers

Answer a is it

Step-by-step explanation

A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring

Answers

Answer:

Daily customers were there in the spring = 100 customers

Step-by-step explanation:

In winter :

Daily customers to weekly customers = 1:5

In spring

Daily customers to weekly customers = 4:2

And total weekly customer in winter = 125

Find:

Daily customers were there in the spring

Computation:

Total customer in winter = 125[6/5]

Total customer in winter = 150

Daily customers were there in the spring = 150 [4/6]

Daily customers were there in the spring = 100 customers

is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}

Answers

Answer:

nope always remember if the x's are the same its not a function :)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x has y

6 has 1  and later said

6 has 8

this could not happen in a function

The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?

Answers

Answer:

A 33 degree change

Step-by-step explanation:

67-34=33

A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)

Answers

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

(x, y) ⇒ (x – 3, y + 5)

Step-by-step explanation:

Given the rule T–3, 5(x, y)

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

If a second square window has an area of 100 square inches, what is the length of each side?

Answers

Answer:

25

Step-by-step explanation:

25, 50, 75, 100

What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?

Answers

Answer:

331/100 or 3 31/100

Step-by-step explanation:

We have;

One - hundredth of 25 = 1/100 × 25 = 1/4

One-tenth of 30 = 1/10 × 30= 30/10 =3

One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50

So we have:

1/4 + 3 + 3/50 = 331/100 or 3 31/100

Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5

Answers

Answers:

18:12

3:2

Step-by-step explanation:

9:6 = 9 * 2 : 6 * 2 = 18:12

9:6 = 9/3 : 6/3 = 3:2

Hope this helps.

A student wrote the problem in the box on his homework paper.

Given:6-2(x+7)=10

Step 1: 6-2x+14=10

Step 2:20-2x=10

Step 3:-2x=10

Step 4:x=5

Answers

Answer:

fooooot

Step-by-step explanation:

PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24

Answers

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?

Answers

Answer:

45 mph

Step-by-step explanation:

3/4x60=45

an=81,d=-3,n=18 solve the question by using formula an=a+(n-1)d

Answers

Step-by-step explanation:

An = A + (n - 1)d

We have An = 81, d = -3 and n = 18.

Hence A = An - (n - 1)d = 81 - (17)(-3) = 132.

Substitute the given values into the equation


81= a+-3{18-1]


Solve the brackets


81= a-3[17]



81= a-51


Move 51 to the other side as a positive number


81+51 is 139


Therefore, a is equal to 139


Jack is age 45 and owns a self-only high deductible health policy with a $7,000 deductible under his HSA. What is his maximum permitted HSA contribution in 2020?

Answers

Answer:

$3350

Step-by-step explanation:

HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family, in which these contributions require 100% tax -deductible at gross income.

Thus, the maximum permitted HSA contribution in 2020 for Jack is $3350.

The maximum permitted HSA contribution in 2020 for jack is $3350.

A health savings account (HSA) is a tax-advantaged savings account a family or individual can use to pay for qualified medical expenses. HSAs are paired with a high-deductible health plan (HDHP) and have annual contribution limits. Each year, the IRS HSA rules adjust the guidelines regarding HDHPs and HSA contribution limits.

HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family.

Hence The maximum permitted HSA contribution in 2020 for jack is $3350.

For more details follow the link:

https://brainly.com/question/26017447

Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p

Answers

Answer:

27.5 answer B

Step-by-step explanation:

55/200 = .275

Answer:

B is the right answer i guess

If the perimeter of the triangle is 40 cm, find the area of the triangle.

The area of the triangle is, ? cm2.

Answers

Answer:

102 cm²

Step-by-step explanation:

Perimeter is:

P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

Comparing the value:

8x - 8 = 40 8x = 48x = 8 cm

Are formula:

A = 1/2ah

Replacing values:

A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²

Answer:

60cm²

Step-by-step explanation:

To find :-

The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

Base = x + 9 = 15cm Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?

Answers

Answer:

26

Step-by-step explanation:

Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared

Answers

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, [tex]A[/tex] = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]

Enter the equation of the line in slope-intercept form.

The line parallel to y =
7
2
x + 6 that passes through (−2, 0).

The equation of the line that passes through (−2, 0) is y = .

Answers

Answer:

y = 7/2x + 7

Step-by-step explanation:

0 = 7/2(-2) + b

0 = -7 + b

b = 7

y = 7/2x + 7

ASAP plz help me with this

Answers

Answer:

6

Step-by-step explanation:

Given this number line, DB = [?]

13 - 11 = x

11 - v = 7

13 - 11 = 2

2 = x

11 - v = 7

7 + 4 = 11

4 = v

v + x = ?

2 + 4 = 6

Given this number line, DB = [6]

A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers

Answers

Answer:

9/50

Step-by-step explanation:

There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:

Probability = number of favorable outcomes /total number of outcomes

Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50

PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19

Answers

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

plz help me with this

Answers

Step-by-step explanation:

numbers 1 4 and 7

The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,

Answers

Answer:

63 boys

Step-by-step explanation:

7 - 1 = 6

54 divided by 6 is 9

9 x 7 = 63

Answer:

63 boys

Step-by-step explanation:

7-1=6

6*9=54

You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?

Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.

Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.

We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.

The results of this survey may be affected by nonresponse bias.

Answers

Answer:

The results of this survey may be affected by nonrepsonse bias

Step-by-step explanation:

Just took this test

Answer:

The results of the survey may be affected by no response bias

Step-by-step explanation:

5x-2x(x-1)=???????????????????????????????​

Answers

Answer:

7x-2x"2

Step-by-step explanation:

Answer:

it is

7x-2x^2

Step-by-step explanation:

5x+2x-2x^2 = 7x-2x^2

On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N

Answers

Answer:

im too confused. What am i supposed to be doing?

Step-by-step explanation:

Answer:

The mass =32/24×3

The mass is 4kg

Step-by-step explanation:

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