A ball is thrown directly upward from a height of 3 ft with an initial velocity of ​20 ft/sec. The function ​s(t)=-16t^2+20t+3 gives the height of the​ ball, in​ feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.

Answers

Answer 1

Answer:

#1: s'(t)= -32t+20

#2: -32t+20=0

t=2/3

#3: s(2/3)=-16(2/3)^2+20(2/3)+3=83/9

Step-by-step explanation:

first find the derivative of the original funtion #1

set the equation equal to 0 because when s't=0 is the maximum height

put the t at highest point into the funtion to solve for distance


Related Questions

The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

Berries : Oranges = 10 : 1

Let the number of berries = x

10 : 1 = x : 25

Product of means = 1*x = x

Product of extremes = 10 * 25 = 250

Product of means =  product of extremes

          x = 250

250 berries

Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.

Answers

Answer:

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

Step-by-step explanation:

The number of bags of Grow Rite brand = x

The number of bags of Great Green brand = y

The equation is given as:

4x + 7y = 308....... Equation 1

5x + 6y = 330....... Equation 2

Using Elimination method.

Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2

4x + 7y = 308....... Equation 1 × 5

5x + 6y = 330....... Equation 2 × 4

20x + 35y = 1540..... Equation 3

20x + 24y = 1320....... Equation 4

Subtract Equation 3 from Equation 4

11y = 220

y = 220/11

y = 20 bags

4x + 7y = 308....... Equation 1

4x + 7(20) = 308

4x + 140 = 308

4x = 308 - 140

4x = 168

x = 168/4

x = 42 bags

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

URGENT pls help I literally don’t understand how to do this

Answers

Step-by-step explanation:

Hope this helps, cheers!!!

what is the answer to f(-5)=x^2-5

Answers

Answer:

32

Step-by-step explanation:

What is the x-intercept of the line 5x – 2y = 10?

Answers

Hope the answer helps you!!!!

Find the value of a

Answers

Answer:

a=60

Step-by-step explanation:

since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)

you divide the total angle number by 6: 360/6=60

a=60

hope this helps!! <3

PLEASE HELP, WILL MARK BRAINLIEST!! Olives are sold at the supermarket salad bar. A customer scoops the olives into a container and pays by weight, but the price he pays is reduced to account for the weight, but the price he pays is reduced to account for the weight of the container (the tare weight). The prices for two different total weights are given in the table. What is the y-intercept?​

Answers

According to my calculations, the y intercept is 22.8

If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.

Answers

Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length

24=12x+6y solve for y

Answers

Answer:

y = 4 - 2x

Step-by-step explanation:

Hope this helps! Have a great day!

Here is the answer with steps

It takes 14 ppl to play a 42 minutes football game. How many ppl would it take to play a 60 minute football game

Answers

Answer:

20 people

Step-by-step explanation:

Step 1:

14/42 = x/60     Equation

Step 2:

42x = 840     Multiply

Step 3:

x = 840 ÷ 42     Divide

Answer:

x = 20

Hope This Helps :)

Answer:

20 people

42/14=3

Then, you divide 60/3=20 people

a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\

Answers

Answer:

$36.9735831

rounded: $36.97

Please answer the top half ASAP I need it in 2h please

Answers

Answer:

4/76/1112/1719/3010/177/1511/288/217/323/493/71/24/75/223/73/41/31/103/81/23/84/765/1688/2140/634/31/29/79/521/44

The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?

Answers

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice the length of the shorter side. Write and solve and inequality to determine the maximum length of the shorter side of the fence.

Answers

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

what’s the simplified value of 12.4x(-6.3)

Answers

Answer:

-78.12

Step-by-step explanation:

Answer: u just divide the small number to the big number and add and get ur answer that is -78.12

Step-by-step explanation:

write 36/9 in simplest form

Answers

Answer:

4

Step-by-step explanation:

36/9=4

there are 4 nines in 36

Find its notation:
(x +6, y + 3)

Answers

Answer: i know the answer but i cant write it all on here

Step-by-step explanation:

Is (4, 10) a solution of 5x + 10y = 120? Explain how you know. How
could you check using the equation? Using the graph?

Answers

Answer: No, it is not.

Step-by-step explanation:

If you solve and graph the equation, the point (4,10) falls below the line, not satisfying the equation.

PLEASE HELP ME WITH THIS MATH PROBLEM FOR 26 POINTS AND BRAINLIEST AND EXTRA POINTS IF YOU GET THE BRAINLIEST FIRST!!!!! THIS IS VERY URGENT!!

Answers

Answer:

The answer is  C [ the third choice]

Step-by-step explanation:

Answer: I'm not sure what the answer is so I'd either choose :

C.) n > 6/7 or

D.) n > - 6/7

CAN SOMEPLZ HELP ME I RLY NEED HELP

Answers

There would be a total cost of 15 dollars because when you plug in 395= 24n +35 you solve for N and you end up with 360=24n and you divide by 24 and you end up with n=15

Which is simplified form of the expression (6-2•65)-3

Answers

Answer:Answer:

The simplified form of this is 6^-9

Step-by-step explatnation

In order to find this, we first complete the operation inside the parenthesis. In this case, since it is multiplication, we add the exponents.

6^-2 x 6^5 = 6^3

Now that we have the simplified inside we multiply exponents using the parenthesis.

(6^3)^-3 = 6^-9

Step-by-step explanation:

select the story problem that this this division problem represents 3/4 divided by 1/3

Answers

Answer:

3/4 divided by 1/3 would equal 2 1/4 or 2.25.

can you write 19,509,000,000 in scientific notation move the decimal)

Answers

Answer:

= 1.9509 × 10^10

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

K(x)= 6x-12; k(x)= 18

Answers

Answer:

x=5

Step-by-step explanation:

set the first equation to 18. Then add 12 to both sides. Then divide by 6 by both sides. final answer is 5. Hope that helps!

gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?

Answers

the answer is 5 dimes and 1 nickel.

hope this helps <3

Answer:

4 = dimes and 2 = five cents

Step-by-step explanation:

Help:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(::(:(:(::(:(:(:(:(::(:

Answers

Answer:

2 cups of venigar to 4 cups of water

Step-by-step explanation:

its right

Answer:

B 2 cups of vinegar to 4 cups of water

Step-by-step explanation:

YOU'RE WELCOME

How much combined 87.8 and 17.3

Answers

Answer:

105.1

Step-by-step explanation:

87.8+17.3=105.1

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.

Answers

This question is Incomplete

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?

Answer:

9 cm

Step-by-step explanation:

The depth of snow = 10cm

Rate of melting = 1/3 cm per hour

1 hour = 1/3 cm

3 hours = x cm

Cross Multiply

= 3 hours × 1/3cm = 1 hour × x cm

x cm = 3 hours × 1/3cm/1 hour

x cm = 1 cm

Hence in 3 hours, 1 cm of snow would have melted.

Therefore, the depth of the snow on Cherry Street after 3 hours is

10cm - 1 cm

= 9 cm

What vocabulary words can you use to describe 36 and 27?

Answers

Answer:

Divisible by 3 and 9

Step-by-step explanation:

Answer

multiples of 3 and 9

Step-by-step explanation:

3*12=36

9*3=27

9*4=36

help so i can finis this already

Answers

Answer:

its microwave

Step-by-step explanation:

Answer:

ok so I cant make promises but I think the answer is -11/12

Step-by-step explanation:

I hope its right and I'm sorry if its not  

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