Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?

Answers

Answer 1

Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet


Related Questions

can someone solve please , ill give Brainly to whoever is first.

Answers

Answer:

1314 in²

Step-by-step explanation:

Let l be the length, w be the width and h be the height.

[tex]SA=2(lw+lh+wh)[/tex]

Plug in the given values

[tex]SA=2(17*5+17*26+5*26)\\SA=2(85+442+130)\\SA=2(657)\\SA=1314[/tex]

Therefore, the surface area of the shape is 1314 in².

I hope this helps!

Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=

Answers

Answer:

cacacc

Step-by-step explanation:

sorr

Answer:

the answer is 0.1666667

how to change
a fraction into a percent

Answers

Answer:

[see below]

Step-by-step explanation:

If you are given a fraction, convert it into a decimal by diving the numerator by the denominator.

After converting it into a decimal, you multiply it by 100 to get the percent value. After that, you add the percent sign.

Example:

[tex]\text{Convert \frac{5}{10} into a percent.}[/tex][tex]\text{Convert } \frac{5}{10} \text{ into a percent.}\\\\\\\rightarrow \text{Step One: Convert into decimal.}\\\\\frac{5}{10}=0.5\\\\\rightarrow \text{Step Two: Multiply by 100 and then add percent sign.}\\\\0.5 * 100 = 50\\\\[/tex]

50%

[tex]\frac{5}{10}=50[/tex]%

Hope this helps.

Answer:

Divide the numerator into the denominator, then move the decimal 2 places to the right.

Step-by-step explanation:

Let's use 3/4 as an example.

Divide 3 into 4 and you get 0.75

Move the decimal 2 places to the right and you get 75

Then just add a percent sign (75%)

I hope this helps, and have a great day! :)

What is the answer to 10x2x5%20

Answers

I’m pretty sure 20 tell me if I’m wrong

Answer:

ITS 0

Step-by-step explanation:

Evaluating 1/4 check all that apply the base is 1/4 the expanded form is 1/4 1/4 1/4 the expanded form is 1x1x1x1/4 1/4 2 = 1/4 1/4 3 = 1/64

Answers

Answer:

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Step-by-step explanation:

Given

[tex](\frac{1}{4})^3[/tex]

Required: Evaluate

The options are not clear. So, I'll answer without considering the options:

[tex](\frac{1}{4})^3[/tex]

Apply law of indices:

[tex](\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})[/tex]

Remove brackets

[tex](\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}[/tex]

Combine

[tex](\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}[/tex]

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Answer988

Step-by-step explanation:

Use the Distributive Property to simplify the expression. 8(s−1) =

Answers

Answer:

the answer would be 8s -8

Step-by-step explanation:

I learned this a long time ago

Answer:

anong grade Yan tol??g7 g7 g8 g9 g10 g11 g12?

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 453 If s = 2.5 units, what is the value of V?​

Answers

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

find compound interest on12600rupees for 2years at10% per annum compounded anually

Answers

Answer:

₹2520

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 12600 × 0.1 × 2 = 2520

I = ₹ 2,520.00

The simple interest accumulated

on a principal of ₹ 12,600.00

at a rate of 10% per year

for 2 years is ₹ 2,520.00.

Please help, Find the perimeter

Answers

i don’t know sorry maybe the formula for finding a perimeter for a rectangle will help

Cole learned that newly-minted
coins are put into bags. The
mint puts 2,000 half-dollar
coins into 1 bag. What is the
value of 11 bags?

Answers

Answer:

11000 dollars.

Step-by-step explanation:

Interesting question.

1 bag has 2000 half dollars in it.

2000 half dollar coins have a value of 2000 * 1/2 = 1000 dollars.

11 bags = 1000 * 11 = 11000 dolars.

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as

Answers

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

14 = 3y - 4
Help me pls

Answers

Answer:

y = 6

Step-by-step explanation:

I'm going to assume you want to solve for y.

Step 1: Move all constants to 1 side, isolating y and its coefficient:

14 = 3y - 4

14 + 4 = 3y - 4 + 4

18 = 3y

Step 2: Divide both sides by 3 to solve for y:

3y = 18

3y / 3 = 18 / 3

y = 6

Final answer: y = 6

Answer is y=6
because move the variable to the left so hand side and change its sign -3y+14=-4
Move the constat to the right - hand side and change its sign
-3y=-4-14
Calculate the difference
-3y=-18
And your answer should be y=6 hope this helped



Y=6

ooth
3 12100
Х
-3
-2.
у
5
2
-1
4
-7
What is the slope?

Answers

-4 that will be your answer

Elijah needs to buy some cat food. At the nearest store, 6 bags of cat food costs $24.75. How much would Elijah spend on 3 bags of cat food

*ONLY TYPE THE AMOUNT/ROUND TO THE NEAREST HUNDRED*

Answers

Answer: the original answer is 75.25 but rounded to the hundredths would be 100

Step-by-step explanation: brainliest please? ^^

-2x + 6 + 4x = -12

Solve for x

Answers

That’s should be right

Answer:

x = -9

Step-by-step explanation:

-2x + 6 + 4x = -12

-2x + 4x = -12 - 6

2x = -18 -----Divide -18 by 2

x = -9

Inequality from graph
Choose the inequality that represents the following graph.
MY
Cou
-5
14
13
12
+
5
1
0
1
2
3
4
MY
Choose 1 answers
Pro
21
Pro
Теа
2011
2-1
2-1
Hi

Answers

Answer:

A. x < -1

Step-by-step explanation:

Because the direction of the vector is less than -1 and the dot on -1 isn't filled (not equal to)

Answer:

option a and b is the inequality that represents the following grap

You have 5 cells and they double everyday. How many cells will you have after 8 days

Answers

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

[tex]5^{2} = 25[/tex] 200In 8 days you will have 200 cells

Pleas help if possible :)

Answers

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

ANSWER M= (0, 5)
To get the midpoint you will need to use the formulas: x1 +x2 divided by 2, and y1 + y2 divided by 2.
X=0 (or undefined) Y=5
ANSWER AB: 6
Square root: (3 - (3))^2 + (5 - 5)^2 to get 6
I’m sorry if that sounds a little complicated

An account earns simple interest.
$600 at 5% for 2 years

a.Find the interest earned.
$___

b.Find the balance of the account.
$___



Please answer and give an explanation with your response. I will mark the correct and quickest answer BRAINLIEST!!!

Answers

Answer:

600×100/5×2=

6\10=3/5

Answer:

A is $60

B is $660

Step-by-step explanation:

For A, you move the decimal in 5% 2 over so it is 0.05. You then multiply 0.05 by 600, multiply that answer by 2, and you'll get $60.

Sorry I'm not sure how to do B, I looked up the answer to that one.

Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?

Answers

Answer:

No the statement isnt reasonable

Step-by-step explanation:


Given the line y =2/3x-3
Write the equation of a line perpendicular to it that passes
through the point (4, -1)

Answers

Answer:

y= -3/2x + 5

Step-by-step explanation:

You do the opposite reciprocal of the original equation's slope.

Then you use the new slope from the point (4,-1) on the graph to find the y-intercept. Which is (0,5).

That gets your answer of -3/2x + 5.

27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024

Answers

Answer:

D. 1024

Step-by-step explanation:

Each question can be answered 4 ways.

4 * 4 * 4 * 4 * 4 = 1024

D. 1024

Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *

Answers

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Step-by-step explanation:

put all of them as a decimal first

3/5 = 0.6 (5)

-1/2 = -0.50 (3)

0.50 = 0.50 (4)

-7/10 = -0.70 (2)

-0.75 = -0.75 (1)

i need help hurry!!!!!!!! solve for x

Answers

Answer:

Original Equation: 10x-8/3-4x=6x

Add 4x to both sides: 10x-8/3=10x

Subtract 10x from both sides: -8/3=0

However, we know that -8/3 does not equal to 0, so there is no solution.

Hope this helps!

one answer question

Answers

Answer:

c is the answer you will get you answer as a rational number (hope I'm not wrong)

is 3+5(9+2n)equal to48+5n

Answers

Answer: No
There is no logical way to get ‘5n’

Write 3 - d/5 = 6 in words.

Answers

Three minus D over 5 = 6.

Hope this helps -_

solve -2(3x – 1)-2x = -3 – 5x + 13

Answers

Answer:

×=11

Step-by-step explanation:

-2(3×-1)-2=-3-5×+13

-6×-1-2×=-3-5×+13

-6×+2×+5×=1-3+13

1×=11

×=11

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

Find the surface area.
17 ft
8 ft.
20 ft
15 ft

Need this fast

Answers

Answer:

920 square feet

Step-by-step explanation:

Top: 20 * 17 = 340

Side triangles: 8 * 15 / 2 = 60

2 side triangles: 60 * 2 = 120

Back rectangle: 8 * 20 = 160

Bottom rectangle: 15 * 20 = 300

All of them: 340 + 120 + 160 + 300 = 920

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles. Then the surface area of the geometry will be 920 square feet.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The surface area of the geometry will be

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles.

The area of the rectangles will be

Area of rectangles = 8 x 20 + 15 x 20 + 17 x 20

Area of rectangles = 160 + 300 + 340

Area of rectangles = 800 square feet

The area of the triangles will be

Area of triangles = 2 x 1/2 x 15 x 8

Area of triangles = 120 square feet

Then the area of the geometry will be

Area of geometry = 800 + 120

Area of geometry = 920 square feet

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

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