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+161x+108
y=−16x
2
+161x+108

Answers

Answer 1

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height


Related Questions

Speed equals distance multiplied by time. *
A: True
B: False

Answers

True because I learned it literally right now
A: True

spear does equal distance multiplied by time

A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 256 teams remain. After the 4th round, how many teams remain? How many rounds will be required to determine the champion?

Answers

Answer:

This is GP with the first term of 512 and common ratio of 1/2

The formula for nth term is:

aₙ = 512*(1/2)ⁿ

The number of teams after the 4th round:

a₄ = 512*(1/2)⁴ = 32 teams

Number of rounds to determine the champion:

1 = 512*(1/2)ⁿ2⁰ = 2⁹*2⁻ⁿ0 = 9 - n n = 9 rounds

Find the area between y=-x and y=x at [0,3]

Answers

Answer:

don't listen to the other person

Step-by-step explanation:

which expression is equivalent to ×7*×8?

Answers

Answer: If you mean 7 times 8 that is 56

Other expressions that are equal

- 56 times 1

- 1 times 56

- 2 times 28

- 4 times 14

Can someone please help me

Answers

Answer:

x = 28

Step-by-step explanation:

Angles on a straight line = 180°

4x + 3 + 2x + 9 = 180

4x + 2x + 3 + 9 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

6x/6 = 168/6

x = 28

Select the equivalent expression.
Choose 1 answer:
264.764
B
2024 . y24
x? .y?
212
yl2

Answers

Answer:

B.....

Step-by-step explanation:

...................................................

Answer:

B

Step-by-step explanation:

Hope you get it right! :)

PLS HELPPP GEOMETRY!!!!!!
You are on a fishing boat that leaves its pier and heads east. After traveling for 24 ​miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45​°W for 13.4 miles.

a. At this​ time, how far are you from the​ boat's pier?
b. What bearing could the boat have originally taken to arrive at this​ spot?

Answers

Answer:

a-17.3 miles b-S57 E

Step-by-step explanation:

d^2=30^2+12^2-2(30)(12)

sin45

hi does anyone have the answer for this? 100 points if answered :))

Answers

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

fill in the blanks

[tex] {(x + 3)}^{2} - x - 3 = (x + 3) \times ............[/tex]
please answer my question I will mark you as brainliest and I will follow you ​

Answers

Answer:

Step-by-step explanation:

(x + 3)² - x - 3 = (x +3 )² - (x + 3)

                      = (x +3)(x + 3) - (x + 3)*1

                      = (x + 3) [ x + 3 - 1]

                      = (x + 3 (x + 2)

need help please.........

Answers

Answer:

Step-by-step explanation:

C

Answer:

A.

Step-by-step explanation:

k=am+3mx=m(a+3x)

⇒   [tex]m=\frac{k}{a+3x}[/tex]

Solve the Following inequality by choosing all of Possible range of Values that make the Statement True.

2 (x) + 12 ≤ 30

Group of answer choices

9, 10, 11

7, 8, 9

-7, -8, -9

9.001, 9.002, 9.003

Answers

Answer:

7, 8, 9

-7, -8, -9

Step-by-step explanation:

2(x) + 12 ≤ 30

2x + 12 ≤ 30

2x ≤ 30 - 12

2x ≤ 18

x ≤ 9

x has to be less than OR equal to 9

What is the solution set of x2 – 10 = 30x?

{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}

Answers

9514 1404 393

Answer:

  (c)  {15 -√235, 15 +√235}

Step-by-step explanation:

For solutions p and q, the trinomial is ...

  (x -p)(x -q) = x² -(p+q)x +pq

That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.

The sums of roots in the answer choices are ...

  a) 30

  b) -30

  c) 30

  d) -30

We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.

The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.

_____

The product of the roots of C is ...

  (15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required

Answer:

C

Step-by-step explanation:

Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221

Answers

Answer:

700

Step-by-step explanation:

539 rounded to 500

221 rounded to 200

500 plus 200 is 700

please help me i will give a brainliest​

Answers

Answer:

(-3,2)

Step-by-step explanation:

you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).

:)

A beach umbrella has a circumference of 8.8 feet what is the radius of an umbrella?

Answers

Answer:

radius = 1.4

Step-by-step explanation:

The formula for circumference is as follows:

[tex]C = d\pi[/tex]

or

[tex]C = 2r\pi[/tex]

However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).

Anyhow, We would substitute like this:

[tex]8.8 = d\pi[/tex]

We know that pi, is going to be equal to: 3.14159

So we work from there...

[tex]8.8=d(3.14159)\\2.8011=d[/tex]

Diameter divided by 2 would be the radius, and thats:

1.4006

or 1.4

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: 2

Hope this helped! :)

Given the following data, find the weight that represents the 28 percentile​

Answers

Answer:

so I just tried to find the mean (average) and it was: 6.3

Simplify 15 – 3(6 – 4)

Answers

Answer:

9

Step-by-step explanation:

15-3(6 -4)

=15-3(2)

=15-6

=9

Therefore 9 is the answer

Answer:

9

Step-by-step explanation:

The area of the trapezium is four times the area of the parallelogram. Work out the value of x

Answers

Answer:

2.5cm

Step-by-step explanation:

area of trapezium = 4 * area of parallelogram

1/2(a+b)*h=4* bh

1/2(5+11)*4= 4* 3.2x

8*4=4*3.2x

8/3.2=x

2.5cm=x

On Friday,
1
6
of band practice was spent trying on uniforms. The band spent
1
9
of practice on marching. The remaining practice time was spent playing music.

What fraction of practice time was spent playing music?

Answers

1-1/6-1/9=3/18

I hope it's correct:))

according to the weather report, what is the chance of rain or snow?
A. 10%
B. 90%
C. 50%
D. 6%

Answers

Answer:

50? or together will be 90?

Just add the two ratios 48+42=90%

Hope you get it :)

To find the area of a trapezoid, use the expression ½h(b¹ + b²), where h represents the height, b, represents the length of the top base, and by represents the length of the bottom base. What is the area of the trapezoidal table?​

Answers

is there supposed to be an image?? (comments, ill give answer if not, im

just confused)

You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
do you need in your account at the beginning?

Answers

Answer:

40000×1×9%=3 600 this is for year


HELP PLS. Greatest change

Answers

Answer:

looks like D but im not sure

Step-by-step explanation:

Look at the slope in each equation. For the first one is 15, the second is 25, the third is 40, and the fourth is 45.

How many cards are in a standard deck of cards? What are their colors?

Answers

Answer:

A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.

Step-by-step explanation:

Answer:

There are 52 cards which are either red or black

Step-by-step explanation:

The table shows the prices for peanut butter sold in jars of different weights. Which size jar is the best buy?


NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!

Answers

Answer: 48 oz is the best buy

Step-by-step explanation:

You can get way more for cheaper considering 24oz costs $19.12 and if you do 24x2 you get 48 so if you buy 2 of the 24oz ones you have to pay $18.24

HOPE THIS HELPS ^^

Which triangles must be congruent? Abc, fde, and gih.

Answers

Answer:

A. ΔABC, ΔFDE and ΔGIH

Step-by-step explanation:

From the given descriptions for the three triangles, it can be inferred that;

DE ≈ HI ≈ BC

AB ≈ FD ≈ GI

m<B = m<D = m<I

So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.

This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH

The appropriate answer to the given question is A.

Corey spent 18 minutes coloring. She spent 6 times as many minutes reading

Answers

Answer:

18 x 6 =108. she spent 108 minutes reading.

Step-by-step explanation:

Show processes po Pa help po need ko po bukass pleaseeee po.... I BRAINLIEST ko po yung tamang sagot:(​

Answers

there's your answer.............

PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!​

Answers

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

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