Mathematics College

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?​

Answers

Answer 1

Answer:

The average rate of change

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          [tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

The       [tex]\frac{dh}{d t} = 70 (1) - 16(2t) =0[/tex]

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     [tex]t = \frac{70}{32} = \frac{35}{16}[/tex]

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

At t = 3



Related Questions

HELP PLS
A) 16
B) -4
C) -16

Answers

Answer:

B) -4 is the crct answer may be

Find f(-2)for f(x)-3 . 2^x

Answers

B. 3/4 is the correct answer
Answer:

Yes B is correct

Explanation:

After you simplify the expression, the exact form is 3/4

HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!

Answers

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

7
Complete the statement. Round to the nearest hundredth if necessary.
39 ft
yd

Answers

Answer:

1.7 mi

Step-by-step explanation:

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

f(x) = 2x + 3 - (x + 10 )

Answers

F(x)=2x+3-(x+10)
0=2x+3-x-10
0=x-7
-x=-7
x=7

Solve the equation - [tex]\frac{w}{5}[/tex] +9=13. What is w?

Answers

Answer:

w = -20

Step-by-step explanation:

-[tex]\frac{w}{5}[/tex] + 9 = 13

Shift the (+9) to the other side of the equation. (+9) will turn into (-9).

-[tex]\frac{w}{5}[/tex] = 13 - 9

   = 4

Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).

-w = 4 × 5

    = 20

Multiply both sides of the equation by (-1) so that -w will turn into w.

w = (-1) × 20

w = -20

Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek

Answers

Answer:

3-7×14 1294

6.-40

Step-by-step explanation:

mark me as brainliest

What is the midpoint of KL

Answers

Answer:

k

Step-by-step explanation:

Answer:

Ummm... You didn't attach a picture lol.

Step-by-step explanation:

Have a great day! Good luck!

Write these numbers in order of size.
Start with the smallest number


0.13 3/20 12% 1/10 0.09

Answers

.09, 1/10,12%,0.13,3/20

Hey! Help me with this Question Please!

Answers

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

The solution is...?
Thanks in advance.

Answers

Answer:

Answer has been attached above thanks


PLEASE HELP 6TH GRADE

Answers

First one is 7+x and the second one is 3y or 3 times y

student 1 y=-3x+x student 2 y=7x/10 student 3 y=4(2-x) Which students write an equation of a nonlinear function?

Answers

Answer:

its 547632

Step-by-step explanation:

cuz yeeeeeeeeee

PLZ SOMEONE HELP ME WHAT IS 10 + 10 devided by 10 then subtracted by 0 then + 1000000000

Answers

Answer:

10+10= 20/10= 2-0= 2+1000000000= 1000000002

Step-by-step explanation:

Answer:

the answer is 1000000011

Step-by-step explanation:

10+10/10-0

10/10=1

10+1-0

11-0=11

1000000011

slope m=-2, point: (4,3)​

Answers

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

slope = m = -2point (4, 3)

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

m is the slope(x₁, y₁) is the point

substituting the values m = -2 and the point (4, 3) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

[tex]y=-2x+11[/tex]

Car x travels 162 miles in 3 hours: write an equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles

Answers

Answer:

A:The equation y=54x describes the relationship

B: y as 216 and x being 4

If a car travels for 0​ hours, it will travel 0 ​mile(s). This means it will pass through the point (0,0)

.Use the slope to move 3 units to the right of the origin and

162 ​unit(s) up to find the point

(3,162) that can be used to graph the relationship. Step-by-step explanation:

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 2000 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.
NEED HELP ASAP

Answers

Answer:

i need helppppppppppppppp

Step-by-step explanation:

Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3

Answers

(0, -6) , (1 , -4) , ( 2 , -2)
Please tell me if I’m wrong

Question 28 (1 point)
Describe the slope of the line. Then find the slope.
4
2
(3, 1)
-2
+(3, 3)
4
a
a
zero; 0
positive; 1
Ob
Ос
negative; - 1
d
undefined

Answers

a negative (-1) is correct

what is the slope of (1,6) (3,0)

Answers

Answer:

-3

Step-by-step explanation:

Use the slope formula:

y2-y1/x2-x1 to find the slope

0-6/3-1 = -6/2, or -3

Answer:

m  =  − 3

Step-by-step explanation:

A group of students were in a disagreement about how to solve for x in the figure.
Which method could be used to solve?
x
12
30%

Answers

Answer:

C.using sin(30⁰).

because A=sin 30⁰bh

I need help please thank you

Answers

Answer:

D I'm sure....................... :D

Answer:

ok surly yes always

Step-by-step explanation:

i think it is D

12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes

Answers

Answer:

distributive proper

Step-by-step explanation:

mulitiply

Please help guys!!!!!!

Answers

Answer:I think its 68

Step-by-step explanation:

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

Combine the like terms for this problem:
За + 9y - 7а - 2y + 6а - Зу​

Answers

Answer:

2a - 4y

Step-by-step explanation:

Answer:

(3a -7a + 6a) + (9y - 2y - 3y)

          2a + 4y is the final answer

Step-by-step explanation:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Afla suma a trei numere ,stiind ca primul este succesorul numarului 999 ,al doilea este cu 1.872 mai mare ,iar al treilea cat primele doua la un loc.

Answers

Answer:

7744

Step-by-step explanation:

Din informațiile furnizate:

Succesorul primului număr 999 = 1000

Al doilea este cu 1872 mai mare= 1872 + 1000 = 2872

Al treilea care sunt primele două împreună = 1000 + 2872 = 3872

∴

Suma celor trei numere = 1000 + 2872 + 3872

= 7744

Find an equation of the parabola with vertex (2, -1) and directrix y=-7.

Answers

Answer:

the answer to this is y=7x-15

10 ( y - 2)
what is the answer

Answers

Answer:

10y-20

Step-by-step explanation:

sorry if I am incorrect

10y -20 I think not sure about it
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