I WILL GIVE BRAINLIEST TO CORRECT ANSWER
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 the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137

Answers

Answer 1

Answer:

470.1

Step-by-step explanation:

Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.

This is where the derivative=0

Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.

y=[tex]-16x^2+146x+137[/tex]

y'=[tex]-32x+146[/tex]=0

-32x+146=0

x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex

Now plug this back into the original equation to find the maximum height.

f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137

=[tex]\frac{-73^2}{16} +666.125+137[/tex]

=-333.0625+666.125+137

=470.0625

To the nearest tenth this is 470.1


Related Questions

ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?

Answers

The answer to that is 1/2

3x+5y=-9
-6x-10y=18
elimantion substuion method

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

2(3x + 5y = -9)

6x + 10y = -18

-6x - 10y = 18

0 = 0

Determine the solution and the reasoning that justifies the solution to the systems of equations.
O (2,7), because this point is true for both equations
O (4, -6), because this point lies only on one of the two lines
(4, -6), because this point makes both equations true
O (2,7), because the lines intersect the x-axis at these points

Answers

Answer:

A or C

Step-by-step explanation:

The system is not given to give exact answer.

Possible solution is:

A. (2,7), because this point is true for both equations

Yes, same point lies on both lines, it is their intersection

B. (4, -6), because this point lies only on one of the two lines

No, this is not a solution to both equations

C. (4, -6), because this point makes both equations true

Yes, same point lies on both lines, it is their intersection

D. (2,7), because the lines intersect the x-axis at these points

No, this is not confirming any solution

2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11

Follow me and hope it helps

#The spirit of learning

Find the equation of the line.
Use exact numbers.

y = ___x + ___

Answers

Step-by-step explanation:

formula: y=mx+b

First you gotta find M witch is Slope.

B is the y-intercept which is -2

then you have to do rise/run

so up 2

right 3

= 2/3

so your answer would be

y=2/3-2 because you can't simplify 2/3

Solve the following system of equations graphically on the set of axes below.
y=x−2

y= - 1/5x-8

Answers

-1.5x-8=x-2
+1.5x

-8=2.5x-2
+2
-6=2.5x
Divided by 2.5
X=2.4

So put x in an equation
2.4-2=y

.4=y

pls help

The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
​(Round to the nearest tenth as​ needed.)

Answers

Answer:

what is the radius of 2

Step-by-step explanation:

19. There are 1,200 students at Thomas School, Each
day, students take 5 classes and teachers teach 4 classes. If each class
has 30 students and 1 teacher, how many teachers teach at the school?

Answers

Answer: 40 teachers

Step-by-step explanation:

Do 1,200 Divided by 30 because thats the amount of students

Are the ratios 17:10 and 2:1 equivalent?

Answers

Answer:

No, they don't have the same value

Step-by-step explanation:

Are the ratios 17:10 and 2:1 equivalent?

17 : 10 = 1.7

2:1      = 2

what’s the operation
inverse or reciprocal
p=??

Answers

Answer:

The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.

Step-by-step explanation:

Need help with this pls asap

Answers

Answer:

x=3-2i

Step-by-step explanation:

According to my calculations, this should be good

I need help brainiest to the correct answer!

Answers

#1

y=4

x=5

y is decreasing

5-4=1

[tex]\\ \sf{:}\dashrightarrow \dfrac{x-y}{x}(100)=\dfrac{1}{5}(100)=1(20)=20\%[/tex]

#2

x=5y=8

y is increasing

8-5=3

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{8}(100)=37.5\%[/tex]

ROUND TO THE NEAREST WHOLE NUMBER

16968.3

Answers

Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

PLEASEEEEEEE HELP ME GUYS!! ​

Answers

.49 cents i know cause I know

The HCF of 50 and 80​

Answers

Highest common factor, im assuming, would be 10. 10 is the highest number that divides evenly into both 50 and 80.

A savings account increases from ​150$ to ​153$. What is the percent increase of the savings​ account?

Answers

Answer:

The correct answer would be 2.00%



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

120$

Step-by-step explanation:

PLEASE HELP


What is the slope of the line?

Answers

Step-by-step explanation:

you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?

in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.

we see here 2 clear points in my opinion :

(0, -3) and (3, 0)

that is where the line crosses the y and the coordinate axis.

so, going from (0, -3) to (3, 0) :

x changes by +3 (from 0 to 3)

y changes by +3 (from -3 to 0).

so, the slope is

+3/+3 = 1

what is the improper fraction 2 7/8what is the improper fraction 8 2/3

Answers

Answer:

1. 23/8

2.26/3

Step-by-step explanation:

The marked price of a stove at Courts was $1,200. A lady bought the stove by making a deposit of $400, and paying $80 per month for one year and a half. How much would she have saved by paying cash?

Answers

she would have saved $650

what is the total length of the two ladders 11.4 ft. 5.8ft.​

Answers

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Which of the following is the equation of a line that passes through the point
(1.2) and is parallel to the x-axis?
A. y = 1
B. y = 2
C. x = 1
D. X = 2

Answers

Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2  for every point on this line and that is the equation of the line.

Step-by-step  explanation i Hope this helps

(-2.05) - (-5)
explain and show how u did this

Answers

Answer:

2.95

Step-by-step explanation:

When we have a problem like this (-2.05)-(-5)

It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95

Can someone help me pls I’ll give brainliest to whoever is right no scam links or your getting reported only answer if you know

Answers

Answer: 3b + 125 = 157.97

Step-by-step explanation:

The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.

There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.

The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97

A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price

Answers

Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

If d varies directly as t and d=20.5 when t =12 find the value of constant

Answers

Answer:

12÷20.5= 0.5953658537

Solve the inequality *NUMBERS ONLY, NO WORDS*
n/4 - 1 ≥ 1

Answers

Answer:

[tex]n\geq 8[/tex]

Step-by-step explanation:

n/4-1[tex]\geq[/tex]4

n-4[tex]\geq[/tex]4 (move constant to right)

n[tex]\geq[/tex]4+4 (calculate)

n[tex]\geq 8[/tex]

what percentage of this grid is shaded

how many more squares need to be shaded so that 60% of the grid is shaded?

Answers

Answer:

44%, and 4

Step-by-step explanation:

The grid has 5 rows and 5 columns so we have 5*5 = 25 squares.

25 squares represent 100 %  of the grid

a) In the grid 11 of the 25 total squares are blue, so if

25 squares are 100%

11 squares will be x%

x= (11* 100) / 25 = 1100/ 25 = 44 %

b) we find the number of squares that gives us 60 %

25 squares are 100%

x squares will be 60%

x= (60*25)/ 100 = 15

The question is " How many more squares " so we have to compare with the 11 given ones in part a)

15 -11 = 4

4 more squares will give 60 %  blue grid.  

The answer should be 25 squares is 100 percent

Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect

Answers

It differs because the equation has a little too much information

g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.

Answers

Answer:

[tex] \frac{4}{(g + 4) ^{2} }[/tex]

Step-by-step explanation:

Factor the expressions that are not already factored in g/ + 4g.

[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]

Cancel out g in both numerator and denominator.

[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.

[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]

Since g + 4/(g + 4)² and g/( g + 4) have the same denominator, subtract them by subtracting their numerators.

[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]

Combine like terms in g+4−g.

[tex] \frac{4}{(g + 4) ^{2} } [/tex]

Expand (g + 4)².

[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]

Hope It's Help

Other Questions
There are a total of 66 people attending a carnival. The ratio of adults to children is 4 to 7. How many adults are attending the carnival? Enter your answer in the box. adults What type of government would you want to have in your country and why which would be included in the plan of care for a preterm newborn who is given oxygen by way of a hood Which of the following is a solution to the given equation?y=-3x - 7A)(-2,-1)B)(-1,-10)C(4,-5)D(3,-2) Suppose that the functions u and w are defined as follows.u(x) ==-x-1w(x) = 2x +1Find the following. please help help for brainliest !!!!!!!!!!!!?!?Question based on video: energy solutions who chooses? what would be a likely result of expressing telomerase in somatic cells? Is s = 7 a solution to the inequality below s < 2 yes 3. Would a cliff in the desert or a cliff along the seashore experience more weathering? Explain your answer. 3. My grandmother4. Undernourished ch5. The farmers over e:they would havenaisIV. Choose the correctIn the parenthesis. Which topic is shared by the poems A Black Man Talks of Reaping and Hegira?being denied enough food to eatrelying on faith to get through difficult timesliving a life of hard labor with no rewardtempting fate to escape enslavement Alcohol and pregnancy policies allow for states to arrest women who are found to be abusing alcohol and/or drugs while pregnant. True / False Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television? What type of rays result in shorter days? (science) The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils Q2. What do you think is The United Nations playing its role effectively in maintaining peace and Security in the World? Justify your answer with examples Ron and Amanda had agreed not to have children even before they got married. Both remained true to this decision after marriage. In this scenario, they are identified as individuals on a(n) _____. What is the answer of this question please reply! 0.00536 by 25 Who was the main interpreter and negotiator for the Creek during Georgia's early colonial years?AMary MusgroveB.The MalcontentsJames OglethorpeDTomochichi Rachels ( ) behavior made her friends think she was hiding something.