A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t2 + 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height and when does this occur.

Answers

Answer 1

Answer:

158 meters (vertex/max point)

Step-by-step explanation:


Related Questions

-5n - 5 = -2 (2n - 2)

Answers

Answer:

n = +1

Step-by-step explanation:

Hope this helps

Answer:

im pretty sure -9 is the answer

Please tell me what is it

Answers

Answer:

-2x+4>-2

-2x>-2-4

-2x>-6

X<3

Answer is J

If f(x) = 5x - 6, which of these is the inverse of f(x)?
O A. f'(x) = 5 +6
O B. :'(x)= -6
C. F'(x) = *+6
+ LO
X-6
O D. 8'(X) = *

Answers

Answer:

A

Step-by-step explanation:

Because subtraction and addition are alike just how multiplication and division are.

The inverse of f(x) is (x+6)/5, the correct option is A

What is inverse of a function?

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

Given;

f(x) = 5x - 6

f^-1 (x ) = x+6/5

Let, y = f(x) and rearrange making x the subject;

y = 5x - 6 ( add 6 to both sides )

y + 6 = 5x ( divide both sides by 5 )

x = (y+6)/5

Change y back into terms of x

x  = (x+6)/5

Therefore, the answer in inverse will be (x+6)/5

Learn more about inverse function here:

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Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?​

Answers

Answer:

150

Step-by-step explanation:

3 + 7 + 10 + 30 +100

Answer: the answer is $150.00 or $7.00

Step-by-step explanation:

$150.00 if you want to know how much you had in all

but if your talking about how much you had before it would be $7.00

During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which integer represents the total number of yards at the end of the first four plays? z ​

Answers

Answer:

12

Step-by-step explanation:

So The team lost 9 yards. -9

Then they GAINED 3 yards on EACH of the next 3 plays. 3+3+3=9.

Technically on the 4 one it would be; 12

Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is

Answers

The distance from Atlanta to San Jose is

Answer:

(2,440.1 mi)

Hello i was doing a math problem and i was wondering if this is correct

Answers

Answer:

yes it is correct!

Step-by-step explanation:

PLEASE HELP
7. SHOW YOUR WORK: Amy's Group can build 1 garage in 8 hours. Bob's
group can build it in 12 hours. How long would it take them if they worked
together? ROUND to the nearest tenth. *

Answers

Answer:

It would take 4.8 hours if they worked together

Step-by-step explanation:

The garage can be built by Amy's group in 8 hours and can be built by Bob's group in 12 hours.

Let's find what portion of the garage each group completes in one hour, add their contributions, and find the time to finish the garage working together.

Amy's group completes the job in 8 hours, it means that in 1 hour, they complete 1/8 of the garage.

Bob's group completes the job in 12 hours, meaning they complete 1/12 of the garage in 1 hour.

Now we add both contributions per hour:

[tex]\displaystyle \frac{1}{8}+\frac{1}{12}[/tex]

The LCM of 12 and 8 is 24, thus:

[tex]\displaystyle \frac{1}{8}+\frac{1}{12}=\frac{3+2}{24}=\frac{5}{24}[/tex]

In one hour, they build 5/24 parts of the garage, so the complete job is finished in 24/5=4.8 hours.

It would take 4.8 hours if they worked together

Which is the smallest number 0.9, 0.899 , 0.0999, 0.909, 0.09 , 0.9009

Answers

Answer:

0.0999 hope it will help you

What is the result of the division?
507 - 5?
11 R2
12 R2
101 R2
102 R2

Answers

Answer:

101 R2

Step-by-step explanation:

i just took that test :D

the sum of x and 7 .............

Answers

Answer:

7x

Step-by-step explanation:

is 1/5 a repeating decimal​

Answers

Answer:

o.2222

Step-by-step explanation:

just divide one by five

hope that helps

Which one is non linear

Answers

Answer:

c

Step-by-step explanation:

it has a fraction with the variable next to it

Answer:

b

Step-by-step explanation:

Can someone Distribute:
-3(2x-8) -2x+4

Answers

Answer:

-8x+28

Step-by-step explanation:

-3(2x-8)-2x+4

-6x+24-2x+4

-8x+28

Hope this helps!

What graph would it be?

Answers

I think it's A :)))

..........

Jay bought a laptopcomputer on sale
for 15% off the original price. If he paid
$170, what was the price of the laptop
computer before the sale?

Answers

Answer:

$200

Step-by-step explanation:

%15 = 0.15

0.15 • 200 = 30

200 - 30 = 170

A factory can produce 60 TVs in 7 days. How long does it take to finish 400 TVs?

Answers

Answer:

57.12, but being precise and accurate, you might wanna put 58.

Step-by-step explanation:

So, there's this guy, his name is calculator.


please answer and show

Answers

Answer:

[tex]x\in (-\infty,11][/tex]

Step-by-step explanation:

Inequalities

Solve the following inequality:

[tex]-3x+14\ge 3-2x[/tex]

Adding 2x:

[tex]-3x+14+2x\ge 3[/tex]

Subtracting 14:

[tex]-3x+2x\ge 3-14[/tex]

Operating:

[tex]-x\ge -11[/tex]

Multiplying by -1 and flipping the sign:

[tex]x\le 11[/tex]

Solution:

[tex]\boxed{x\in (-\infty,11]}[/tex]

Anybody know the answers to this frl it’s due in 15 mins

Answers

Answer:

4. j(11) = 8

I think it is linear

5. g(-3) = 18

No, it's a parabola since x is to the second power

6. f(-7) = 5

No, I think it's an absolute value function

7. h(0) = 13

I think it is linear, just the slope is 0

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

4.)

j(11) = 19 - 11

j(11) = 8

The equation is linear.

5.)

g(-3) = 2(-3)²

g(-3) = 2(9)

g(-3) = 18

The equation is not linear. It is quadratic.

6.)

f(-7) = |-7 - 1| - 3

f(-7)= |-8| - 3

f(-7) = 8 -3

f(-7) = 5

The equation is not linear. It is an absolute value function.

7.)

h(0) = -13

The equation is linear.

What's the lateral area of the following cone?​

Answers

Answer:

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .

Step-by-step explanation:

I tired??? sorry if it's wrong???

how do i find the square root of pi

Answers

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

Write an equation of the line that passes through (2, -1) and (-3, 3)

Answers

Is there any graph, or is that all the question is asking?

Inequalities equation

Answers

Answer:

y≤9.45

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

0.37037y≤3.5

Step 2: Divide both sides by 0.37037.

0.37037y/ 0.37037 ≤  3.5 /0.37037

So when we do the division we end up with the answer being -

Y≤  9.45

Hope this helps-

Sleepy~

i need help with this

Answers

Answer:

The answer is c 1, 7/15

Answer: 1      7/15

Step-by-step explanation:

did this

The debate team participated in 18 debate it won twice as often as it lost how many times did it win

Answers

it won 12 times. 18 divided by 3 is 6, add six to six and you get 12 :)

how many 2/3 cup servings of soup are in 4 cups of soup?

Answers

Answer:

almost 6 servings

Step-by-step explanation:

2/3=.667

4/.667=5.99

Answer:

6 cup servings

Step-by-step explanation:

Hope this helps

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Write expression

[tex](\frac{7}{2}-\frac{1}{3} )(-2)^2+\frac{1}{2}[/tex]

Step 2: Evaluate

Exponents: [tex](\frac{7}{2}-\frac{1}{3} )(4)+\frac{1}{2}[/tex]Parenthesis: [tex](\frac{19}{6} )(4)+\frac{1}{2}[/tex]Multiply: [tex]\frac{38}{3} +\frac{1}{2}[/tex]Add: [tex]\frac{79}{6}[/tex]

Answer:

13 1/6

Step-by-step explanation:

Follow PEMDAS:

(7/2-1/3) * (-2)^2 +1/2

P: parenthesis... 7/2 - 1/3 is 19/6

then you do E: exponents... (-2)^2 is basically -2 * -2 which a negative multiplied by a negative is a positive so its 4.

19/6 * 4+1/2

PE M DAS... M: multiply... 19/6 *4 is 38/3 which simplifies to 12 2/3

Lastly you add 12 2/3 with 1/2 and you get 13 1/6

In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE HELP

For what value of x is m∥n ?

Enter your answer in the box.

x =

Answers

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

so you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

if you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°

The midpoint of AB is M(-1,-5). If the coordinates of A are (4, -3), what are
the coordinates of B?

Answers

The coordinates of B is (-6, -7)

How to determine the coordinates of B?

The given parameters are

A = (4, -3)

M = (-1, -5)

The midpoint of a line is calculated as

M = 1/2(x1 + x2, y1 + y2)

So, we have

(-1, -5) = 1/2 * (4 + x, -3 + y)

This gives

(-2, -10) = (4 + x, -3 + y)

Solve for x and y

4 + x = -2

-3 + y =-10

Evaluate

x = -6 and y = -7

Hence, the coordinates of B is (-6, -7)

Read more about midpoints at:

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PLEASE HELP URGENT !

Write a compound inequality for the graph shown below. Use x for your variable.

Answers

x < -7 or x ≥ 7

I hope this helps!

X>7 I think it’s is:):):
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