For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.

Answers

Answer 1

Answer:

height: 48.6 fttime in air: 3.4 s

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

The equation can be rewritten to vertex form to find the maximum height.

h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

The air time is found at the value of t that makes h(t) = 0.

0 = -16(t -27/16)^2 +48 9/16

(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.

For The Vertical Motion Model H(t) = -16t2 + 54t + 3, Identify The Maximum Height Reached By An Object

Related Questions

if 15% of a value is 120 what is 20% of the value

Answers

Answer:

160

Step-by-step explanation:

120divide15=8x20=160

Answer:

160

Step-by-step explanation:

15%=0.15

120/0.15=800

20%=1/5

800*1/5=160

If it is 2$ and it was 75 percent off what is the original price?

Answers

Answer:

Step-by-step explanation:

If it's 75% of that mean 2=25%

multiply it by 4 to get 8

Find an equation of the line parallel to y = 3x + 2 and that passes through the point (-1, -3)

Answers

In order to be parallel to a line, two lines must have the same slope. The slope of y=3x+2 is 3. So the slope of the other equation has the be 3. y=3x+b. Now we can plug in the x and y values given by the point to calculate the b in the equation.
-3=3(-1)+b
-3=-3+b
b=0
So the equation is y=3x

A rectangular prism has a base of 7 m by 9 m and a height of 5 m. What is its volume?

Answers

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Formula- V=w*h*l
= 7*9*5
Volume =315 will be the volume

9. If the area of square 1 is 250 units?, and the area of square 3 is
120 units, what is the area of square 2? Explain your reasoning.

Answers

Answer:

185 units.

Step-by-step explanation:

So first, I subtracted: 250 - 120 = 130

I divided 130 by 2. I got 65.

I subtracted 65 from 250 and I got 185.

Proof it is correct:

185 - 120 = 65

AND

250 - 185 = 65

Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages of 2. There were 12 muffins left. Write an equation to find how
many customers bought muffins at the bake sale. Model the equation using a flowchart

Answers

Answer:

2n + 12 = 100 (Equation)2n = 88 (Solving)n = 44 people bought muffins at the bake sale. (Solving)

Step-by-step explanation:

100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.

Answer:

2n+12=100 ...........

Which of the following is the solution to the system of equations shown below?
x + 5y = -3
3x – 2y = 8

Answers

Answer:

x = -2, x = 1

Step-by-step explanation:

mark as brainliest it is right

If two angles are supplementary, their sum equals
A)
45°
B)
90°
180°
D)
360°

Answers

Answer:

180°

Step-by-step explanation:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.

Hope it is helpful....

f(x)=-x^2-14 find f(9)

Answers

Answer:

Step-by-step explanation:

f(x) = -x² - 14

f(9) = -9² -14 = -81-14 = -95

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3101
V90
3390
3120
V20
800

Answers

Answer:

3101

Step-by-step explanation:

Emily enters a bike race for charity her mother pledges 10 cents for every 0.75 mile she bikes if Emily bikes 15 miles how much will her mom donate

Answers

Answer:

The answer is that her mom will donate $2.

Step-by-step explanation:

From the information given, you can use a rule of three to find the amount her mom will donate if Emily bikes 15 miles given that her mother pledges 10 cents for every 0.75 miles:

0.75 miles → 0.10

15 miles → x

x=(15*0.10)/0.75

x= 2

According to this, the answer is that her mom will donate $2.

Thirteen of the Unites States do not touch the ocean. What percent of the United States do not touch the ocean? HELP!

Answers

26 percent because 13/50 is 26

An architect is making a plan for a new circular playground. If the picture below is the
playground, how much fencing needs to go up to
keep the kids in the circle?

Answers

Answer:

201ft

Step-by-step explanation:

The circumference of a circle is equal to

C=piD

d=64ft

substitute:

c=pi(64)=64pift ft

assume pi=3.14

64pi=64*3.14=200.96ft

round to the nearest whole number:

200.96=201ft

another explanation:

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

= 64π

= 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

200.96 meters of fencing needs to go up to keep the kids in the circle. Therefore, option D is the correct answer.

What is circumference of a circle?

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Given that, diameter of a circle is 64 meter.

Here, the radius = 64/2

= 32 meter

We know that, the circumference of a circle can be calculated using 2πr.

Now, circumference = 2×3.14×32

= 200.96 meters

Therefore, option D is the correct answer.

Learn more about the circumference here:

brainly.com/question/28757341.

#SPJ2

Find the gradient of the line segment between the points (8,6) and (10,12)

Answers

Answer:

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)

Answers

Answer: 0.13

3 times 0.044 =0.13

Step-by-step explanation:

What is the median?
A(18
B(27
C(33.2
D(34.5

Answers

Answer: 34.5

Step-by-step explanation:

First, write out all of the numbers from least to greatest.

which is (18,20,26,34,34,35,38,40,42,45)

Second, choose the number in the middle of the set of numbers you wrote out from least to greatest. (There are TWO numbers in this case, which are 34 and 35)

Lastly, since there are two numbers you add them both together and then divide by 2. (34+35=69 , 69 divided by 2 = 34.5)

The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m

Answers

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

help me pls this is 8th grade math fastest answer gets brainliest show work pls

Answers

Answer:

10/10 = 1

x2/x2 = 1

x3/x3 = 1

10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2

5 raise to power 5/ 5 raise to power4 = 5

x raise to power 7/ x raise to power 5 = x raise to power2

Step-by-step explanation:

I hope this helps a little bit.

A 30-ft ladder is placed against a building. The bottom of the ladder is 18 feet from the base of a building. How tall is the building?

Answers

Answer: 24 ft tall

Step-by-step explanation:

a^2+b^2+c^2

18^2+b^2=30^2 where b in this case is the height of the building

What's the area of this figure? help!

Answers

The area is 250.5 in^2

Find the value of x and the measure of the angle labeled 6xº.

Answers

Answer:

30=6x(vertically opposite angle)

x=30/6=5

b.x=5,angle measure is 30

The answer is B. 30

100 + 2x = 12x - 10
plsplsplspls help

Answers

Answer:

x=11

Step-by-step explanation:

100+2

I am one of the numbers represented on a number line when you divide the segment between -15 and 25 into 4 equal parts. I am positive and prime. What number am i?

Answers

Answer:

2, 3, 5, 7, 11, 17, 19, 23

Step-by-step explanation:

The segment between - 15 and 25 has 40 numbers given by

25 - -15

= 25 + 15

= 40

Divided into 4 segments, each would contain 10 numbers such that the

1st segment is from -15 to -5 (which is -15 + 10)

2nd segment is from -5 to 5 (which is -5 + 10)

3rd segment is from 5 to 15 (which is 5 + 10)

4th segment is from 15 to 25 (which is 15 + 10)

Given that the unknown number is prime and positive this may be

2 or 3 or 5 from the 2nd segment

7 or 11 from the third segment

17 or 19 or 23 from the 4th segment

help me out with this question (geometry)

Answers

Answer: It should be 24 because Ray SP is an angle bisector

Step-by-step explanation:

Angle 2 is 24 degrees because an angle bisector makes angles congruent

A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
50 m

Answers

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

The circumference is thus;

C = 50 * 3.142

C = 157.1 m

Julio has a house worth $220,000. He has a $175,000 mortgage. Julio says that in this situation, his asset equity is really only $45,000. Which statement explains whether Julio is correct

Answers

Answer:

the answer is A 100%.....

HELP
1. What is the solution to the equation 2(x - 10) + 4 = - 6x + 2?
A. -9/2
B. 1
C. 9/4
D. 5/2

Answers

Answer:

9/4

Step-by-step explanation:

2(x - 10) + 4 = -6x + 2

2x - 20 + 4 = -6x + 2

2x - 16 = -6x + 2

8x - 16 = 2

8x = 18

x = 18/8 or 9/4

Answer:

the answer is C

Step-by-step explanation:

2(x-10) +4 = -6x + 2

2x-20 +4= -6x +2

2x-16 = -6x+2

+16 = +16

______________

2x = -6x + 18

+6x = +6x +18

_____________

8x =18

x=2.25 or 9/4

have a nice day and I really hope it help

i’ll mark the brainliest for the correct answer, please just help me

Answers

Answer:

B, A.

Step-by-step explanation:

The answer is A! Good luck

GIVING BRAINLIEST!!!!!!

What is the total length of all meteors that are 1 6/8 inches?

A) three and four eighths inches
B) three and five eighths inches
C) four and seven eighths inches
D) three and seven eighths inches

Answers

Answer:B

Step-by-step explanation

Answer:

Step-by-step explanation:

Determine the measure of angle A

Answers

Step-by-step explanation:

3x+18=4x+2

x= 16

measure of <A = 66°

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For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.​

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For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.