A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation

Answers

Answer 1

Answer:

551.06feet

Step-by-step explanation:

Given the equation

y=-16x^2+174x+78

At maximum height, dy/dx = 0

dy/dx = -32x + 174

0 = -32x+174

32x = 174

x = 174/32

x = 5.4375

GEt the maximum height

y=-16x^2+174x+78

y=-16(5.4375)^2+174(5.4375)+78

y = -473.0625 + 946.125 + 78

y = 551.0625

Hence the maximum height is 551.06feet to the nearest hundredth


Related Questions

a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth

Answers

Answer:

44

Step-by-step explanation:

First, let's sum up the ratio.

Sum the ratios = 6 + 2 + 3 = 11

We can make y the total number of boots sold together last month

If 24 pairs of boots were sold, then the equation would be

6/11 × y = 24

Cross multiply

6 × y = 24 × 11

6y = 264

y = 44

Therefore, total number of boots sold altogether last month were 44

Helppppppppppppppppp

Answers

Answer:

I just need points sorry love But the answer is A.

Step-by-step explanation:

Awnser and show your work <3

Answers

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

[tex]\frac{5}{x} = \frac{1}{5}[/tex]

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

[tex]\frac{3}{x} = \frac{1}{8}[/tex]

cross multiply to get

x*1=3*8

x= 24 players

Determine the value of the indicated term.

a1 = -4, d=4

Determine the 15th term

Answers

Answer:

52

Step-by-step explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52

Answer:

The 15th term = 52

Step-by-step explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Briana and her brother, Dimitri, each inherit $8,000 that they use to open new savings accounts.
Briana's account earns 4.3% annual compound interest. Dimitri's account earns 5.4% simple
interest. Assuming neither makes any additional deposits or withdrawals, how much more will
Briana's account be worth than Dimitri's account after 18 years? Round all final answers to the
nearest whole number.

Answers

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

How far will a ball roll if it travels 12m/s
for 3 seconds?

Answers

If it takes a ball to roll 12 meters per sec, and asks how far it will roll for 3 seconds you would multiply 12 and 3 getting 36.

The ball will roll 36 meters for 3 seconds
The ball will travel 36 meters because 12 times 3 = 36

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Brian is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet.
Suppose each bag of fertilizer covers 30 square feet. How many bags will he need to cover the garden?

Answers

12x10 =120
Then divide 120/30 equals 4
So 4 bags needed

mary bought five pairs of socks that cost $8 each. if the tax rate was 8% how much did mary pay in total?

(please help!!)

Answers

Answer:

The Answer would be $40.64

Step-by-step explanation:

To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64

Help me for 20 points

Answers

Answer:y=0+3.2

The answer is y=0+-3.2

y=0+3.2. hope this helps

ILL GIVE BRAINLIEST 5x +2y = 24 solve for x

Answers

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

what products did east africans produce to trade with other countries

Answers

Easy Africans mostly export or produce coffee, cotton, tea, tobacco, cashew, nuts. And sisal. But mainly coffee and tea.

7/5 simplafied please help me

Answers

Answer:

1.4

Step-by-step explanation:

7/5 =  1.4

Simple question who does Marinette Dupain-Cheng have a crush on?

Answers

Answer:

She has a very big crush on Adrien Agreste but she’s just a very good friend

Answer:

Adrien Agreste!

Step-by-step explanation:

But she does have hidden feelings for Cat Noir. She even said that maybe she'd see him differently if Adrien didn't exist.

Tyler placed six number tiles labeled 3, 8, 12, 15, 19, and 22 in a box. He picks one of the numbers from the box with out looking. What is the probability tyler will pick a tile labeled with an even number.

Answers

Answer: 50%

Step-by-step explanation: there are 3 even numbers and 6 numbers total so 3/6 is 50%


Help plz :)no links plz

Answers

12/13

sin = opposite / hypotenuse

Please solve these, I thank you my friends
Write and solve an equation to find the value of x

Answers

Answer:

180 - (52 + 28) = x and then x = 100.

Step-by-step explanation:

A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.

The equation we used to find that is: 180 - (52 + 28) = x.

52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.

I NEED HELP ASAP IM TRYING TO STUDY FOR MY STAAR TEST TOMORROW *NO LINKS ALLOWED*

Answers

The answer is B- the other one would be 25y=x

Answer:

C

Step-by-step explanation:

equations for each:

A)  y - x = 25

B)  y = 25x

C)  x = 25y

D)  y = 25 + x

In \triangle CDF,m\angle D=90\deg,m\angle C=29\deg△CDF,m∠D=90deg,m∠C=29deg and the length of the hypotenuse is 10 units. Using this information below, what is the length of CDCD? 5.5 units 4.8 units 8.7 units 2.9 units

Answers

Answer:

8 units

Step-by-step explanation:

Given

Hypotenuse CF = 10

m<C = 29degrees

m<D = 90degrees

m<F = 180 - (29+90)

m<F = 180 - 119

m<F = 61degrees

Since the side facing <F is CD, then;

Opposite = CD

using the SOH CAH TOA identity

sin 61 = opp/hyp

sin61 = CD/10

CD = 10sin61

CD = 10(0.8746)

CD = 8.746

Hence the length of CD is 8 units

PLS HELP ITS TIMED TYSM!!!

Answers

Simplify the expression.

23
h

3
2

Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)

Answers

Answer:

8 meters

Step-by-step explanation:

To find the perimeter follow these steps:

1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters

2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters

3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters

Have a fantastical day!

14. Twelve more than seven times a number equals the number less six

Answers

Answer:

The number is -3.

Step-by-step explanation:

Set up an equation:

Variable n = number

12 + 7n = n - 6

Assuming the question is solve for n, isolate the variable:

Subtract n from both sides:

12 + 6n = -6

Subtract 12 from both sides:

6n = -18

Divide by 6 on both sides:

n = -3

Check your work:

12 + 7(-3) = -3 - 6

12 - 21 = -3 - 6

-9 = -9

Correct

12+7n=n-6
12+6n=-6
6n=-18
n=-3

By what percent will the number changed if": it was doubled

Answers

Answer:

what number

Step-by-step explanation:

Please please help with this no links

Answers

Answer:

B. corresponding angles are congruent

I would really like help for this, if anyone is willing to help me.

Answers

Answer:

It's bc

Step-by-step explanation:

Find x
(Secant tangent angles)
Helppp

Answers

Answer:

x = 35

Step-by-step explanation:

The secant- secant angle x is half the difference of the intercepted arcs

The 4 arcs in the circle sum to 360° then

PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then

x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35

figure ABC has been dilated using a scale factor of 1/3 to produce figure A' B' C'. The origin is at the center of dilation ​

Answers

Answer:

A translation because it can map one angle onto another since dilation preserve angle measures of triangles.

Step-by-step explanation:

If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?

Answers

Answer:

฿₹Ø: 1391 US$

Step-by-step explanation:

Lateral area
Surface area

Answers

Answer:

Step-by-step explanation:

b) Describe how to convert from the vertex form to standard form.

Answers

Answer:

go on MATH.WAY. it'll give you the answer and explanation. hope it help

Step-by-step explanation:

:)))

Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?

Answers

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

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