A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can be modeled by the equation h = -16t^2 + 56t + 25. Find the maximum height of the watermelon

Answers

Answer 1

Answer:

The maximum height of the watermelon is 74 feet.

Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

[tex]v(t) = \frac{d}{dt} h(t)[/tex] (1)

Where [tex]v(t)[/tex] is the velocity, in feet per second.

If we know that [tex]h(t) = -16\cdot t^{2}+56\cdot t +25[/tex] and [tex]v(t) = 0\,\frac{ft}{s}[/tex], then the time associated with maximum height is:

[tex]v(t) = -32\cdot t +56[/tex] (2)

[tex]-32\cdot t + 56 = 0[/tex]

[tex]t = 1.75\,s[/tex]

Now we evaluate the function height at time found in the previous step: ([tex]t = 1.75\,s[/tex])

[tex]h(t) = -16\cdot t^{2}+56\cdot t +25[/tex]

[tex]h(1.75) = 74\,ft[/tex]

The maximum height of the watermelon is 74 feet.


Related Questions

chose the wrong name for this angle please

Answers

Answer:

G?

Step-by-step explanation:

the answer is B hope i helped

what is -9 = -6r simplified​

Answers

Answer:

Exact Form:

r = 3/2

Decimal Form:

r = 1.5

Mixed Number Form:

r =1 1/2

Step-by-step explanation:

3a = 18
(I know how to solve it, but how do I check my solution?)

Answers

Answer:

plug the a back in

3(6)=18 if the answer is 18 then your right

18=18

Answer:

Replace A with 6 so write this:

Step-by-step explanation:

3(6)=18

3*6=18

Pls give brainliest :)

Please help me determine the volume. c;

Answers

The answer is 360ft^2

Answer:

The answer is 720 ft of the triangular prism.

Step-by-step explanation:

10ft (x6) > 12= 720

A car rental company charges $56 per day plus $0.30 per mile driven. John paid $86 after renting a car for one day. What equation should he use to find x, the number of miles he drove?

Answers

Answer:

 

x + 56 = 86

Step-by-step explanation:

Total charges(in $)  = 56 * Day + 0.30 * x(in miles)100 miles.What is calculus?

The study of calculus is the study of change. It offers a framework for modeling dynamic systems and a method for determining the models' predictions.

Given A car rental company charges $56 per day plus $0.30 per mile driven. Since john paid 86$ after renting a car for one day. from the equation we created.

 Total charges(in $)  = 56 * Day + 0.30 * x(in miles)

  86  =  56 * 1 + 0.30 x

  x = 100miles.

Therefore john drove 100 miles.

Learn more about calculus here:

https://brainly.com/question/6581270

#SPJ2

Alisa is making a design for the bottom of a dress using trapezoid shapes cut from different colors of fabric. Each trapezoid has base lengths 5 inches and 10 inches and a height of 6 inches. How much fabric does she need for 4 trapezoids?

Answers

Answer:

Well we are going to use the formula of a trapezoid.

What'd given is that two bases are 5 and 10 and the height is 6

add the two bases: 10 + 5 = 15 multiply it by 6 = 15 x 6 = 90 then divide by 2 = 45 since she is making 4 multiply it by 4,

45 x 4 = 180 fabric she needs.

Find the area and perimeter

Answers

It would be equal to (6x6) x (2x6) x (2x6) x (2x6) x (2x6). Look that up.

Help me please its urgent

Answers

I think the answer would be A,B and E

POSSIBLE POINTS: 2
A tank that is 40% full contains 650 gallons of water. On a side sheet of paper, use a double number line to find the maximum capacity of the water tank.
What did you get?
gallons

Answers

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

Two companies offer online gaming subscriptions. Company A charges $45 upfront and then $10 per month. Company B does not charge upfront fees but charges $25 per month.

Answers

Company A is cheaper because monthly you would pay less.

Step-by-step explanation:

rewrite the problem so that the divisor is a whole number

Answers

8.76÷0.535=8760÷535

≈16.37

a number increased by 19 is the same as 9 less than five times a number

Answers

Answer:

the number should be 7

Step-by-step explanation:

7 times 5 eqauls 35. 35 minus 9 equals 26. if you add 7 and 19 you get 26.

The correct number should be 7

Plss helppp
26
Mandy spent $287 on 7 pairs of shoes. She purchased some pairs of boots that cost $65 per pair and some pairs of workout shoes that cost
S23 per pair
Use a system of equations to help you identify how many pairs of boots (b) and workout shoes (w) Mandy bought
Enter the number of pairs of boots and workout shoes Mandy bought

Answers

Answer: Boots = 3

workout shoes = 4

Step-by-step explanation:

boots cost $65 so 65 x 3 = 195

and workout shoes cost $23 so 23 + 4 = 92 then 195 + 92 = 287

x+ =4+2y=5 solve this​

Answers

x+4+2y=5

 -4        -4

x+2y=1

-x      -x

2y=-x+1

/2   /2  /2

y=x/2+1/2

---

hope it helps

Which equation is true?
f(x) - 5 = g(x)
f(x) = g(x) - 5
Of(x) = g(x - 5)
Of(x - 5) = g(x)



PLZZZ HELPPP

Answers

Answer:

f(x)-5 = g(x)

Step-by-step explanation:

We translate the function g(x) down 5 units from the function f(x)

g(x) = f(x) -5

Rewriting

f(x)-5 = g(x)

Answer:

Option A

Step-by-step explanation:

f(x)-5=g(x)

f(x) and g(x) are exponential functions

We can see that f(x) is shifted 5 units down

So change in y

hence 5 is to be subtracted

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the

Answers

Complete question :

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the area of each new parallelogram?

Answer:

40 ft²

Step-by-step explanation:

Given that:

Height = 10 feets

Base = 16 feets

Area of parallelogram = height * base

Area of parallelogram = 10 * 16 = 160 ft²

Area of each new parallelogram :

Area of parallelogram / number of divisions

= 160ft² / 4

= 40 ft²

Find an equation of the line passing through the pair of points (4,5) and (6,9) . Write the equation in the form Ax+By=C .

Answers

Answer:

-2x + y = -3

Step-by-step explanation:

Find the slope:

9 - 5 / 6 - 4 = 4/2 = 2

Put it in point-slope form:

y - 5 = 2(x - 4)

rearrange:

y - 5 = 2x - 8

y - 2x = -3

-2x + y = -3

William was playing a board game that had a spinner with six equal ­sized
sections. Three of the sections were red, two sections were blue, and one
section was yellow. Find the probability that he landed on a purple section.

Answers

Answer:

Hey man Hi thee way

Step-by-step explanation:

Contact me bro lol

Write the equation of the line in slope intercept form. m = -2, passes through (0, -5)

Answers

Answer:

y = -2x -5

Step-by-step explanation:

Consider the two functions which statement is true

Answers

Answer:

I think it's C

Step-by-step explanation:

Because the line is straight up and it on -2

Hope this helps if it's wrong i'm sorry but i hope it's right.:)

Help. Plz. Last question of the day. (I hope)

Answers

Answer:

$97.2

Step-by-step explanation:

The expression p + 0.08p

y=p + 0.08p

for p=$90

y=90+0.08*90

y=90+7.2

y=$97.2

I need Help please Correct Answer mark you as the Brainleist.

Answers

Answer:

volume=4/3πr³

=4/3×22/7×2.7³

=82.4

82cm³

Answer:82

Hope this will help you.

93 points for this LAST QUESTION ON MY TEST..... The diameter of the cardboard in a toilet paper roll is 1.5 inches with a height of 6 inches. The diameter of the whole roll (including the toilet paper) is 6 inches. What is the total volume of the toilet paper? Round your answer to the nearest hundredth.

don't just take the points and leave, will report anyone who does that

Answers

Answer:

I did this on my test before! The answer is the third option on the chart! If there are no options on the chart or if I am wrong, you can report me if you want. I don't want to be wrong and steal your points

Step-by-step explanation:

Have a great day!

which expression is equivalent to - 14 -6?
A.-14 + (-6)
B.-14 -6
C.14 +6
D.14 +(-6)

Answers

Answer:

B

Step-by-step explanation:

find the value of the expression

4x

where x=7​

Answers

Answer:

28

Step-by-step explanation:

4x

4(7)

4 x 7

28

Answer:

[tex] \huge{ \pink{\bf{4x}}}[/tex]

[tex] \huge{ \pink{ \bf{4(7)}}}[/tex]

[tex]\huge{ \pink{ \bf{28}}}[/tex]


Rashi used the addition table to add doubles. She colored the sums
of doubles in green.
What pattern do you see?
The sums of doubles
are odd.
The
sums of doubles
are even.
+ 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
7 8 9 10 11 12 13 14 15 16
8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
The sums of doubles
are both odd and even.

Answers

Answer:

999 yeah it's

Step-by-step explanation:

999 it's on the

HELP ASAP !! no work needs to be shown !!
<1 = ?

Answers

angle 1 is 40 angle 3 is 140 angle 2 is 40

Create an equation for this question and solve
Jesse sells advertising pages for a magazine. He is paid a 13.5% commission for each page he sells. A page sells for $1,350. He sold an average of 24 pages a month. What was his commission for the year?

Answers

Answer:

$52,488

Step-by-step explanation:

The computation of the commission for the year is as follows:

It is given that  a 13.5% commission is to be paid for each page that he sold

Here the page sold for $1,350

And, he sold average of 24 pages a month

So his commission for the year is

= $1,350 × 24 × 12 × 13.5%

= $52,488

write 5 sentences for a summary for the followng story:











































JK ITS MATH (KEEP GOING DOWN)


























9 to the 3rd power

Answers

Answer: 729 uwu

9x9x9

Answer:

bvdhbvdhbshncb ghdscfgqhaNXJABVFG5R3E6T7Y28Y3T63

Step-by-step explanation:

My cat stepped on my computer

Question 5
What is the y-intercept of the equation 4x - y = -4?

Answers

Answer: 4

Step-by-step explanation:

4x - y = -4

add 4 to both sides

4x - y + 4 = 0

add y to both sides

4x + 4 = y

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