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

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Answer:

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

Step-by-step explanation:

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]

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

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]

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

Answers

Answer:

52

Step-by-step explanation:

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

Answer:

a. = associative

b. = communitive

c. = distributive

Which expression is equivalent to ( + )?

Answers

Answer:

No entiendo que es lo que hay qué hacer

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:

ANSWER !!
ILL GIVE 40 POINTS !!
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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

depressed ppl say here

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here

hehbsheheuehebdbd

Answer:

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

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
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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

(-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

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!!

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

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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:

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Answers

Answer:

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Step-by-step explanation:

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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;

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https://brainly.com/question/10873737

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finding missing angles in triangles worksheet answers house

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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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.

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Show work please and thanks

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

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Answers

Answer:

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