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

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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

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

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

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Answer:

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

Answer:

Step-by-step explanation:

-3i Square root of 2

Write without exponents (y^2)^4

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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.

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

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Answer:

52

Step-by-step explanation:

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:

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

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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]

finding missing angles in triangles worksheet answers house

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Step-by-step explanation:

What exactly are you looking for?

Show work please and thanks

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

Find the missing side of this right
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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!

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

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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:

You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
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Answers

Answer:

40000×1×9%=3 600 this is for year

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

Answers

Answer: c 4/5

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Answers

Answer:

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Step-by-step explanation:

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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​

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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.

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

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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

i need help i will crown brainiest

Answers

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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

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

Answers

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


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Step-by-step explanation:

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Answers

Answer:

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

Step-by-step explanation:

depressed ppl say here

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here

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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R

Step-by-step explanation:

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.

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Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

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