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

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

B = 145°

Explanation:

Sorry but m∠C > 90° how could it be 35° ?

However if you still need an answer:

B = 180 - C

B = 180 - 35

B = 145°

Select all the expressions that are equivalent to 16x + 36
16(x + 20)
x(16 + 36)
4(4x + 9)
2(8x + 18)
2(8x + 36)

Answers

Answer:

2(8x+18)

multiply the values in the bracket with 2

2×8x=16x

2×18=36

16x + 36

Answer: 2(8x+18)   ,4(4x+9)

Step-by-step explanation:

16 x+36 =4(4x+9)=2(8x+18)

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Yes

Yes

No

No

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

y < 4

Step-by-step explanation:

2(5y-2) < 36

Divide both sides by 2.

5y-2 < 18

Add 2 to both sides.

5y < 20

Divide both sides by 5 to isolate y.

y < 4

Just here to help you be able to give brainliest above answer is right

Question 2
A laboratory did 36 blood tests on Monday, 43 on Tuesday,
29 on Wednesday, and 48 on Thursday. What is the mean
(average) number of blood tests the lab did each day?
answer choices :
o 45
o 42
o 39
0 33

Answers

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?

Answers

Answer:

5

Step-by-step explanation:

9x+5=50

9x=45

x=5

Brianna can buy up to 5 books without spending more than her gift certificate amount.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.

$50 gift certificate / $9 per book = 5.55 books

Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.

Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.

Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.

If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.

Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7

Answers

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

The diagonals of a rhombus are perpendicular:

MT ⊥ AH

We have the equation for MT:

y = -2x + 3

Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.

Since AH passes through point (4, -5), the equation of the line is:

y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7

Correct choice is D

WITH STEPS PLEASEE..

Answers

Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

The answer for this is Y=5

help with this question, please

Answers

Answer:

12.57 inches

Step-by-step explanation:

the formula is l = x/360 (2 pi r) so you solve from there

What is the volume of a rectangular crystal with a length (1) of 2.2 cm, a width (w) of 2 cm, and a height
(h) of 1.8 cm?

Answers

Answer:

7.92 cm^3

Step-by-step explanation:

To find volume all you have to do is multiply the length, width, and height. The answer would be: l * w * h = 2.2 * 2 * 1.8 = 7.92 cm^3.

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

Answers

Answer:

The third answer. Above none.

Step-by-step explanation:

Its flipped 180(completely upside down) and located directly below.

Answer:

6,3

Step-by-step explanation:

please help me asap!!

Answers

Answer:

option a. SAS

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

Which of the following is the equation of the circle shown below?

Answers

Answer:

Step-by-step explanation:

Center is 6, -2

Radius is 7

(x-6)^2 + (y + 4)^2 = 7^2

==============

Please give brainliest, I really want to rank up, thank you!

5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________​

Answers

Answer:

$2666.66

Step-by-step explanation:

Yearly income = $32000

Each installment is 1/12 of a yearly income:

$32000/12 = $2666.66

Annual salary=32000

Monthly salary

32000/1216000/68000/3$2666.67

6 Melvin and Roberto played football on two different teams last season.
• Melvin's team won w games.
• Roberto's team won 3 fewer games than Melvin's team.
Which expression can be used to represent the number of games Roberto's
team won last season?
Select one answer.
A W + 3
BW-3
CW.3
Dw3

Answers

Answer:

B is the answer

Step-by-step explanation:

Which two-way frequency table correctly shows the marginal frequencies?

Answers

Answer:

B

Step-by-step explanation:

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2

Answers

for a minute i thought it was c. y = -3x + 2.

if you add an exclamation I will give you a Brain list


A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.

Answers

Answer:

it would be 3 tons if I'm correct

Answer: 3 tons

Step-by-step explanation:

1 ton is equal to 2,000 pounds.

Divide 6,000 from 2,000 to find how many tons the animal weighs.

6,000/2,000=3.

Hope this helps!

A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?

Answers

Answer:

C- Chi-square test for Homogeneity

Step-by-step explanation:

Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.

A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?

Answers

Answer:

6 years

Step-by-step explanation:

This question has two parts. First, answer Part 1. Then, answer Part 2.
Part 1

Which expression does NOT produce the same value for p = 2 as the expression below?

2(p – 1)
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1
Part 2

Which expression is equivalent to 2(p – 1)?
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1

Answers

The answer will be a

Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?

a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14​

Answers

Answer:

A, 4 yougurt cups for $6

Step-by-step explanation:

The reason I did the math myself. Sorry if its incorrect.

In circle P, BC=24ft. What is the length of arc AC?

Answers

It would be 30 because the length is more than it would be wide on the part and used calculator to get 30

Which triangles are similar to triangle ABC ?

Answers

Answer:

both of em

Step-by-step explanation:

whoever gets this correct first gets brainlest

Answers

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

Help how do you simplify this????!!!

Answers

3/5? you can’t simplify it anymore

Answer:

3/5

Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same

Hii! I really need help on this with the spree that answers! For 30 points. I don’t wanna waste my points so make sure your answer is right.

Answers

Step-by-step explanation:

1. K = 13 (13+5=18)

2. X= 36 (36-12=24)

3. Y = 14 (17=3+14)

4. Z= 24(22=24-2)

5. A=7 (divide both sides by 4)

6. H=12 (12/6=2)

7. B= 10 (100=10*10)

8. Y=42 (6=42/7)

I'm pretty sure that this is correct.

1. K+5=18
-5 = -5

k=13

2. x-12=24
+12 = +12

x=36


3.17=3+y
-3 = -3

y=14

4.22=z-2
+2 = +2

z=24

5.4a=28
÷4 = ÷4

a=7

6.h/6=2
×6 = ×6

h=12

7.100=10b
÷10 = ÷10

b=10

8.6=y/7
×7 = ×7

y=42

A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.

Answers

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)

Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more

Answers

Bonnie ate more because 3/8 is 37.5.
Hope this helps!
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