Mose decides to launch a rocket out of the barn at Schrute farms. The equation below represents the height (in meters), of the rocket getting launched above the ground, t seconds after the rocket is launched. h(t) = -.4 (t - 2)^2 + 5 How high above the ground is the rocket before it is launched?

Answers

Answer 1

Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]

Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.


Related Questions

Jessica goes fishing with Benny. They catch 6 trout if they split up the trout how much will each get

Answers

Answer:

6/2 = 3

Step-by-step explanation:

there are 2 people, when you divide the 6 trout by the 2 people, they will each get 3 fishes

jessica+benny=2 people
6/2=3
3 fish each

A. 3
B. -3/4
C. -1
D. 2

Answers

B
because rise over run

Answer:

it got to be b the 4 is on the line 3 so be -3 and 4 postive

The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”

Answers

Answer:

proportional bc all of them are 1 shirt = 12.95

If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14


If anyone could help me please on number 4

Answers

I believe the answer would be 6 because 7x2=14 so 3 cantaloupes x 2= 6

What is the answer.........

Answers

Answer:

1 is correct

2 is correct

3 is incorrect

4 is incorrect

5 is correct

Step-by-step explanation:

1 is correct because the statue lies the same distance from both entrances.

2 is correct because B is also the same distance from both entrances.

3 is the opposite of 2, saying that B is not equal distance from both entrances, making it false.

4 is incorrect because a is closer to the upper entrance.

5 is correct because it is basically the same question as 2, saying b is the same distance from both entrances.

132
Corresponding Angle
Vertical Angle
Alternate Interior Angle
Alternate Exterior Angle

Answers

Vertical angle
Is the answer

HELP ME ASAP PLEASE!!!!!

Answers

Answer:

88

Step-by-step explanation:

46= x° ( isosceles angles )

Now, taking all side of the triangle

46+46+y =180 ( sum of all side of triangle )

or, y= 180 -92

y = 88°

ANSWER

y = 88

EXPLANATION: in an isosceles triangle the two base angles are equal so x is 46. If you add 46 + 46 you get 92 subtract 180 by 92 and you get 88. Which is y the vertex angle

(01.01 LC)Which two charges have a sum of 0?
+6 charge and +6 charge
0-6 charge and -6 charge
+6 charge and 0 charge
+6 charge and -6 charge

Answers

It would be +6 charge and -6charge
it would be +6 charge and -6 cause they cancel out

5x – 18 > 2(4x – 15).

Answers

Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0

Answers

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

Answer:

A

Step-by-step explanation:

3/100=0.03

:))) Helps?

There are exactly 18 liters of sports drink available to the tennis team. If each tennis player will be served 1/3 liters, how many players can be served?​

Answers

Answer:

54

Step-by-step explanation:

it's so easy just do

18÷1/3=54 which is easir if you think it like 18×3=54

Answer:

54

Step-by-step explanation:

For every liter of sports drink, there is 3 players. You can use this problem to solve it y = 3x  or now  54 = 3(18). Simply it is 3 * 18 is 54. 3 is from 3 people per liter.

The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)

Answers

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Write an explicit formula for an, the nth term of the sequence 33, 28, 23, ....

Answers

Answer:

I believe it's an = 33 - 5(n - 1) or 38 - 5n they both should work

Step-by-step explanation:

I'm think that explicit formulas are like an = a1 +d(n - 1) and just replace the Variables with the correct numbers

at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost

Answers

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

Which linear inequality is represented by the graph? ​

Answers

the answer is the first one

Answer:

The answer would be the last option. y<2/3x-1

Step-by-step explanation:

The slope is 2/3 and the line crosses the y axis at -1. Since the shaded part is below the line it would make the sign less than (<)

solve for x thank you

Answers

Answer:9

Step-by-step explanation:

The answer got to be 6. So 6+3=9

What is the sum of |–8| and (the opposite of 6)

Answers

Answer:

2

Step-by-step explanation:

|-8| + (-6)

8 - 6

2

Best of Luck!

help how do yall find this easy i cannot-

Answers

Answer:

153/50 or 3.06

Step-by-step explanation:

Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.

Ex. (3/2)*(4/3)

Please help me I need the answer for this question. correct one please

Answers

the total angle = 180 degree

thus ,

x + 50 degree + 55 degree = 180 degree

x = 75 degree
Yea that’s right x=75 degrees

Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?​

Answers

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

A $10,000 investment earns 8% interest per year. To the nearest dollar, how much will the investment be worth after 10 years?

Answers

Answer:

$18,000

Step-by-step explanation:

10,000+800 (the 8%) =made in 1 year

800 * 10= 8,000

help meeee please math​

Answers

He made $25 on Saturday :)

Explanation: On Sunday he made 30 because 6 hours x $5 so 55-30 = $25 on Sunday

The value of y varies directly with x. If x = 4, then y = 268. What is the value of x when y
= 938?

Answers

Answer:

14

Step-by-step explanation:

268/4=67

So, x=67y.

938/67=14

A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.

Answers

Answer: Profit of $3,750

Step-by-step explanation:

Sold half of the sets at a profit of 25%;

= (15,000 * 5 sets) * 25%

= $‭18,750‬

Sold the other half at a loss of 20%;

= (15,000 * 5) * 20%

= $15,000

Profit (loss) = 18,750 - 15,000

= $3,750

In Colorado, there is a sales tax. If the price tag on the item was $12.55 and the total price you paid at the register was $13.05 what is the percent of sales tax paid? Round to the nearest whole percent.

Answers

The awnser would be 20%!!!

Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18

Answers

Answer:

A. 4.5

Step-by-step explanation:

Please help me with this

Answers

Answer:

The length= 16cm

The width= 6cm

The two long sides are 8cm both so 8 + 8 = 16

And the two short sides are 3cm both so 3 + 3 = 6

So your length should be 16cm and your width 6cm

I HOPE THIS HELPS! ∧   ∧

                              ⊂∵→ω←∵⊃

Find the slope of the line that passes through (6, 8) and (9, 10)

Answers

Answer:

m = 2/3

Step-by-step explanation:

The slope of the line is 2/3.

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

10-8/9-6

2/3

Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.

She writes the inequality as h > 48.

How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.

Answers

Answer:

Plot an open circle at 48 and shade right.Step-by-step explanation:

Answer:

C :)!

Step-by-step explanation:

Jamal drew the function below. Which explains whether or not his function is linear?

On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.

Answers

Answer:

A it is linear because it has a constant rate of change

Answer:

A.

Step-by-step explanation:

I just finished the test and got it right

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