A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

Answers

Answer 1

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet


Related Questions

How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)

Answers

32k + 24 = 8 (4k + 3)

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A trapezoid has bases of lengths 38 and 52. Find the trapezoids area if it’s height is 8.

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Answer:

360

Step-by-step explanation:

WILL MARK BRANLIEST
What is true about the decimal form of an irrational number ?
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B) The decimal does not repeat or terminate
C) The decimal repeats
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Answers

Therefore, the decimal representations of irrational numbers satisfy conditions 1 and 2; that is, irrational numbers are decimals that do not terminate and do not repeat. Knowing these properties, it is now possible for us to construct irrational numbers in decimal form at will.

for spanish people

Por lo tanto, las representaciones decimales de números irracionales cumplen las condiciones 1 y 2; es decir, los números irracionales son decimales que no terminan y no se repiten. Conociendo estas propiedades, ahora es posible para nosotros construir números irracionales en forma decimal a voluntad.

Find the area of the shape shown below.
3
3
units?

Answers

Answer:

find the answer of the rectangle (7×3=21)

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Step-by-step explanation:

im sorry if this is incorrect but it should be right

Find the inverse of this function. Show your steps.

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PLEASE HELP! I need this asap

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Answer:

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Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

Find the slope: numbers are: (1,-3) and (-5,-4)

Answers

[tex]\frac{-3 - (-4)}{1 - (-5)}[/tex]

= [tex]\frac{-3 + 4}{1 + 5}[/tex]

= 1/6

Answer: the slope is 1/6
The slope should be 1/6. If you count using rise/run you count up 1 and over 6. Therefor the slope is 1/6.

(x_6)(x_5)+(x_5)(x_6)​

Answers

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

[tex]2x ^{2} - 22x + 60[/tex]

qüîz 10-2 Gina wilson answers please ​

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Answer:

I don't know how to do it the subject

2. Two points are shown on the coordinate plane. How any units apart are
Point A and Point B?*

Answers

Answer:

Step-by-step explanation:

Tickets to a hockey game cost $45. You and 3 of your friends decide to go together. how much will your tickets cost all together?

Answers

Answer:

135

Step-by-step explanation:

Well 3 friends and 45 dollars each

45*3=135

In this problem you want to multiply. It would be $45 x 3 friends, so $135 in total ;)

Select the correct answer.
What is the domain of the function shown on the graph?


A. -∞ < x < ∞

B. x ≤ 2

C. x ≤ 1

D. -10 < x < 2

Answers

C is that right answer

Option B is correct, x ≤ 2  is the domain of the function shown on the graph.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

The graph has x values less than or equal to two.

x ≤ 2 is the domain of the given function.

Hence, option B is correct, x ≤ 2  is the domain of the function shown on the graph.

To learn more on Functions click:

https://brainly.com/question/30721594

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Evaluate 4 + (m - n)

When m = 7 and n = 5.

Answers

1. substitute:
4+(7-5)
2. simplify:
4+2
3. evaluate:
6
the answer is 6.

6.01 x 0.2 =

Can anyone do this plz

Answers

1.202 is the answer

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Answer:

1.202

Step-by-step explanation:

Find the value of x ​

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Answer:

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kddeejwkwnqnnwwnwwnwnwnwwnw

Answer:

use pythagoras theorem for solving this

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What is the constant of proportionality in the table below?

Answers

Answer:

12

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

24 = 2 x 12

36 = 3 x 12

48 = 4 x 12

60 = 5 x 12

Which comparison is not correct?

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6 > 5

Answers

Answer:

1 < -9

Step-by-step explanation:

A positive number can't be less than a negative

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i need more helppppppppp, i have to find the area of this circle

Answers

Answer:

You need to find the radius first,

Half of 23 is = 11.5

Formula you must remember when finding area of circle is:

πr^2

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Step-by-step explanation:

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Answers

Answer:

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Answer:

Angelo needs to use the formula V = [tex]\frac{4}{3} \pi (8.5)^3[/tex].

Step-by-step explanation:

The formula for finding the volume of a sphere is [tex]V=\frac{4}{3} \pi r^3[/tex], wherein the variable, r, is the radius. Diameter is one half of the radius; thus, it would be 17/2 = 8.5. Substitute the values into the equation (i.e. V = [tex]\frac{4}{3} \pi (8.5)^3[/tex]).

An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch

Answers

Answer:

41.4 in

Step-by-step explanation:

(sin 80) opposite      =    x

          hypotenuse        42

x = 42 * sin (80)  = 41.4 in

Find mzw.
X
po
w
(x + 12°
Need help

Answers

Answer:

∠ W = 51°

Step-by-step explanation:

Since WX is the diameter , then

∠ WYX = 90° ( angle in a semicircle )

The sum of the 3 angles in a triangle = 180° , then

x + x + 12 + 90 = 180

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

Then

∠ W = x + 12 = 39 + 12 = 51°

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

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Answer:

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Step-by-step explanation:

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Answers

Okay so basically the answer would be
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3 inches
O 6 x inches
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Answers

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Step-by-step explanation: :)

Answer:

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Answers

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Guided Practice


Which property justifies the first step in solving this equation ?
[tex]\frac{x}{5}[/tex]+9=11
[tex]\frac{x}{5}[/tex]+9−9=11−9


A.
Substitution Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality

Answers

Answer:

a subtraction

Step-by-step explanation:

C.

Subtraction Property of Equality

OK a quarter steam covers a 100' square feet how many courts should you buy to stay in the wheelchair ramp

Answers

Answer:

He should buy about 2 quart of stain

Step-by-step explanation:

Find the diagram attached

First we need to find the area of the given ramp

The ramp consists of two identical triangles, a larger and small rectangles

Since area of triangle  = 1/2 * base * height

Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)

Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²

Area of the large rectangle = Length * Width

Area of the large rectangle = 25 1/12 * 5

Area of the large rectangle = 301/12 * 5

Area of the large rectangle = 1505/12 ft²

Area of the small rectangle = 25/12 * 5

Area of the small rectangle = 125/12 ft²

Area of the figure = 625/12 + 1505/12 + 125/12

Area of the figure = (625+1505+125)/12

Area of the figure = 2255/12

Area of the figure = 187.917

Area of the figure = 187.917ft²

Since  a quarter steam covers a 100' square fee, then;

1 quarter = 100ft²

x = 187.917ft²

Cross multiply

100 * x = 187.917

100x =187.917

x = 187.917/100

x = 1.87917

x ≈ 2

Hence he should buy about 2 quart of stain

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i need helppppit needs 20 charetersss soooooooooooooooooohhhhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiii WHAT IS 15/50 IN DECIMAL AND IN PERCENTAGE15_50 Excerpt from Invisible Man by Ralph EllisonRead the passage and then select which two statements best describe a central idea in the passage?It goes a long way back, some twenty years. All my life I had been looking for something, and everywhere I turned someone tried to tell me what it was. I accepted their answers too, though they were often in contradiction and even self-contradictory. I was naive. I was looking for myself and asking everyone except myself questions which I, and only I, could answer. It took me a long time and much painful boomeranging of my expectations to achieve a realization everyone else appears to have been born with: That I am nobody but myself. But first I had to discover that I am an invisible man!And yet I am no freak of nature, nor of history. 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