Mathematics College

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

30 POINTS FOR BRAINLIEST ANSWER!!!!!!!​

Answers

I think b not sure it’s the only one that makes sense

Question 4 of 25 Use the substitution method to solve the system of equations the correct ordered par x+y=5 y=7​

Answers

Answer:

x = -2

y = 7

Step-by-step explanation:

x+y=5

y=7​

x+y=5

x + 7 = 5

x = -2

x+y=5

-2 + y = 5

y = 7

Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac

Answers

Answer:

a. = associative

b. = communitive

c. = distributive

The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.

Answers

Answer:

7.44 × 10⁹

Step-by-step explanation:

You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.

9 spaces so it would be 7.44 × 10⁹

The scientific notation of the current population of the Earth will be;

⇒ 7.44 × 10⁹

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The current population of the Earth is estimated to be about 7,440,000,000 people.

Now,

Since, The current population of the Earth = 7,440,000,000 people

Hence, The scientific notation of the current population of the Earth is written as;

⇒ 7,440,000,000

⇒ 7.44 × 10⁹

Thus, scientific notation of the current population of the Earth is,

⇒ 7.44 × 10⁹

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.

Answers

Answer: Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

Step-by-step explanation:

A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]

Claim : p>0.50

Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

Find the value of 24/25 divided by 2/5. Show your reasoning.

Answers

Answer:

12/5 or 2 2/5

Step-by-step explanation:

Multiply by the reciprocal then reduce the numbers with the greatest common factor, leaving 12/25*5 then multiply that and get your answer

Show work please and thanks

Answers

Answer and working out attached here. Hope it helps :)

Find the missing side of this right
triangle.
12
Х
8
X=
V[?]
Enter the number that belongs in the green box.

Answers

Answer:

The number 80 should go in the green box

Step-by-step explanation:

To solve this equation you will need to use the pythagorean theorem. Which is a^2 + b^2 = c^2. Also you will need to know where the legs and hypotenuse of the triangle are. The hypotenuse is the longest side of the triangle. So that would be the side marked 12. Then the other two sides are legs.

To solve for x you need to input your known numbers into the pythagorean theorem and solve. To know where the numbers go, a and b of the equation are the legs of the triangle and c is the hypotenuse. I solved the equation for you in the photo I inserted.

Hope that helped you!

Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use?​

Answers

Step-by-step explanation:

[tex]\tt{}3 \frac{7}{8} - 2 \frac{5}{8} [/tex]

[tex]\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )[/tex]

[tex]\tt{}1 + \frac{1}{4} [/tex]

[tex]\tt{}1 \frac{1}{4} [/tex]

[tex]\tt{} \frac{5}{4} [/tex]

[tex]\tt{}1.25[/tex]

N+ 16
What is the value of the expression when N = 36 ?

Answers

Answer:

52

Step-by-step explanation:

can anyone solve these and show work? please help a girl out lol

Answers

17) 45-45-90 triangle so
45 | 45 | 90
n | n | n root 2
15 | x

n=n=x=15 u

y is hypotenuse, since 15 is n, hypotenuse is gonna be n root 2 so 15 root 2



18) 30-60-90 triangle

30 | 60 | 90
n | n root 3 | 2n
x | y | 15

2n=15
n=7.5=x
7.5 root 3=y

Which segment is the MEDIAN of the triangle?

Answers

Answer:

R

Step-by-step explanation:

If 20% of a number is 12, then what is 30% of the same number

Answers

Answer:

18

Step-by-step explanation:

0.2x = 12

Same as: 1/5x = 12

Multiply both sides by 5

x = 60

0.3 * 60 = 18

who is involved in the stimulus check please help me i really need help please

Answers

Answer:

Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad

Step-by-step explanation:

Which expression is equivalent to ( + )?

Answers

Answer:

No entiendo que es lo que hay qué hacer

depressed ppl say here

Answers

here

hehbsheheuehebdbd

Answer:

lol are you depressed ..........

In a certain year, there were 300 congressional
seats in a country's congress. The population of
one state was 1,312,127 and its standard quota
was 7.2513. Find the country's population in the
given year.
The country's population was
(Type a whole number.)
people.

Answers

Answer:

There would be 54,307,200 people

Step-by-step explanation:

This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors​

Answers

The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.

With a few reasonable assumptions, it looks to me like each son gets $9,000.

finding missing angles in triangles worksheet answers house

Answers

Step-by-step explanation:

What exactly are you looking for?

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

Write An Equation

Write an equation for a parabola that opens up, is narrower than [tex]y=x^{2}[/tex], and has vertex (2, -5)


Write an equation for a parabola that opens down, is wider than [tex]y=x^{2}[/tex], and has vertex (-4, 3)

Answers

Answer:

1) y = 2(x - 2)² - 5

2) y = -(x + 4)²  / 2 + 3

Please help!!! Also if you could show work I need it!

Answers

The perimeter is 18+18+20+20=76. 18 square root 2 /2= 12.727. Hypotenuse or triangle is 18 + 12.727+12.727=43.455. 76.18+43.455=119.635. The area is 18x20=360. (12.727x12.727)/2= 161.9765. 161.9765+360= 521.9765.
For the hypotenuse since it is a 45,45,90 triangle the two side lengths are are same so it is x square root 2 divide by 2. Hope that helps!!

Do the following conditions make a unique triangle, more than one triangle or no triangle possible help

Answers

Answer:

No triangle possible since the lines need to attach, hope this helps :)

Step-by-step explanation:

i need help i will crown brainiest

Answers

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

Write without exponents (y^2)^4

Answers

Answer:

Step-by-step explanation:

Answer: y times y 8 times

Apply Exponent Rule

Simplified Form y^8

To write without exponents is basically just writing out y times itself 8 times.

(-8, -1); slope = - 3/4
Pleaseee this onee!!​

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Slope intercept:

y - y1 = m(x - x1)

y + 1 = -3/4(x + 8)

y + 1 = -3/4x - 6

y = -3/4x - 7

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

Answers

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

please help me fast thanks​

Answers

Answer:

if I am not wrong I think the anwser will be 2.3

Answer:

It's 3

Step-by-step explanation:

7 can't be divided by 3 so you leave it as a fraction

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]

Answer:

Step-by-step explanation:

-3i Square root of 2

Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going. Do not give up. Things will get better. What is important to you is important to the lord. So pray and He will listen.

Answers

Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

Other Questions
Sanjay is travelling on his cycle and his A property is under an effectively dated contract of April 23rd, with a 15-day financing contingency extending through the date of May 8th. A back-up offer is properly executed on May 6th. The first buyer properly notifies the seller in writing on May 7th that a loan cannot be obtained and requests in writing a return of earnest money, which occurs on May 9th, the day the second buyer receives notification that the first contract terminated. The date for starting performance by the buyer on the back-up offer is Solomon recently moved to Alice Springs, Australia. Which natural feature is located closest to Solomons new hometown HELP A bacteria structure involved in motility. Consider the following double integral 1 = {2 -xzdy dx. By converting 1 into an equivalent double integral in polar coordinates, we obtain: 1 = 420 Sr dr de 1 = S" Sr dr de This option O This option None of these 1 = " S dr de Which represents a quadratic function? Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years giving brainliest!!!9 x (4-2) - 16 + 3 Grocery Corporation received $300,328 for 11 percent bonds issued on January 1, 2018, at a market interest rate of 8 percent. The bonds had a total face value of $250,000, stated that interest would be paid each December 31, and stated that they mature in 10 years. Assume Grocery Corporation accounts for the bond using the shortcut approach.Required:Prepare the required journal entries to record the bond issuance and the first interest payment on December 31. A snowflake gets blown sideways 2 ft for every 4 ft it falls downward. In one such movement, what is the total distance the snowflake travels and in what direction? 3.46 ft at 28.6 from straight downwards. 4.49 ft at 28.6 from straight downwards. 0 4.47 ft at 26.6 from straight downwards. O 3.46 ft at 36.6 from straight downwards. Working Two Jobs. Maggie has a job working in an office for $10 an hour and another job driving a tractorpays $16 an hour. Maggie works at both jobs and earns $480 in one week. select the two most important elements of the psychiatric interview to establish a mental illness diagnosis. A well known supermarket has 5 kind of cheeses and their prices are in Their calories are Rin and they include calcium in amount(gr/kg) of Vij (i for cheesej for calcium). There are 5 types of calciums A.C.D,E and K. Alex will buy cheese but he wants total calories of cheeses will not be higher than T and he needs all cheeses in amount of Nj. There are some constraints that cheese 1 and cheese 2 cannot be eaten together. Both of them cannot be bought. If cheese 3 and cheese ware bought cheese 5 must be bought. Write a model to satisfy the vitamin need of Alex and constraints by minimizing the price of cheese Drag each tile to the correct box.The specific heat of three substances in the image are given in the table.stamped concrete - 0.75grass-covered soil - 1.01Water - 4.18Place the areas in order based on how fast theyll heat up on a sunny afternoon. Start with the fastest and end with the slowest.PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST!! Consider the single factor APT. Portfolio A has a beta of 1.6 and an expected return of 19%. Portfolio B has a beta of 0.6 and an expected return of 15%The risk-free rate of return is 10%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio ____ and a long position in portfolio ____.MULTIPLE CHOICE:A;AA;BB;BB;A A spinner is divided into 8 equal sections and each section contains a number from 1 to 8. What probability of the spinner landing on 5? Possessive pronouns are used to How do I submit a case study questions Why human affects people???????!!!!!!!! Which statement is true concerning the vertex and axis of symmetry of h(x)=2x2+8x?The vertex is at (0, 0) and the axis of symmetry is x = 2.The vertex is at (0, 0) and the axis of symmetry is y= 2.The vertex is at (2, 8) and the axis of symmetry is x = 2.The vertex is at (2, 2) and the axis of symmetry is y = 2.