Please help with this math question'

Please Help With This Math Question'

Answers

Answer 1

Answer:

The rocket's maximum height will be 1424 feet.

It will reach that height in 4 seconds.

It will reach the ground  in 8 seconds.

Step-by-step explanation:

One easy way to find the peak is to find the derivative and solve for zero:

h(t) = -16t² + 128t + 1680

To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one.  In the case of terms with no variable, they disappear.  That gives us:

h'(t) = -32t + 128

This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:

0 = -32t + 128

32t = 128

t = 4

So the maximum height occurs when t = 4.  Let's plug it in to the original equation:

h(t) = -16t² + 128t + 1680

h(4) = -256 + 512 + 1680

h(4) = 1424

So the rocket's maxiumum height is 1424 feet.

And we've already answered the second question, it happens at 4 seconds.

Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.


Related Questions

NO LINKS WILL MARK BRAINLIEST

Answers

Answer:

30.2  sq cm

Step-by-step explanation:

bass times height 10 cm bottom and 3.2 height

Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars? a.6.89 + t = 8.00 b.6.89 - t = 8.00 c.6.89t = 8.00 d.6.89 = 8.00 ÷ t

Answers

Answer:

1.11 will be the answer

Step-by-step explanation:

Which pair of angles are complementary? 2 points Option 1 O Option 2 O Option 3 O Option 4​

Answers

Answer:

option 4, complementary angles total 90°

Step-by-step explanation:

15 Points for this and brainliest pls help I am soooooo desparateeeeeeeeee

Answers

Answer:

cant see the words clearly please type the words and answers !!

I think it is 130 if it’s wrong I’m sorry

What type of number is 0?
Select each correct answer.
integer
I rational
irrational
real
O natural
whole

Answers

Answer:

0 is a rational number, whole number, integer, and a real number.

Step-by-step explanation:

I need help look in screenshot plzz

Answers

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

Answer asp

__% of 75 is 25

Answers

33% of 75 is 25... Hope that helps!!

2. A local t-shirt company sold 2000 t-shirts two weeks ago when they charged $10 for each shirt. The following week they sold 1120 t-shirts when they raised the price to $19 per shirt. Assuming that this rate of change continues find the following: a. Find a linear function S(p) that models the number of shirts sold as a function of the price p. b. Explain the meaning of the slope In terms of the problem. c. Predict the number of shirts the store would sell if they charged $25 for each shirt. d. If the store would like to maintain a weekly sales level of 1450 shirts how much should they charge per shirt?

Answers

9514 1404 393

Answer:

  a) S(p) = -97.78p +2977.78

  b) about 98 fewer shirts per week will be sold for each $1 increase in price

  c) 533 shirts per week

  d) $15.63

Step-by-step explanation:

a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  s = (1120 -2000)/(19 -10)(p -10) +2000

  s = -97.78(p -10) +2000

  S(p) = -97.78p +2977.78

__

b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.

__

c) S(25) ≈ 533

At a price of $25, the store would sell about 533 shirts per week.

__

d) 1450 = S(p) = -97.78p +2977.78

  -1527.78 = -97.78p

  15.625 = p ≈ 15.63

The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.

subject : bible:
What two words summarize Romans 10:9-10?
sacrifice
work
believe
confess
justify

Answers

I think believe and justify

Answer:

confess and believe are the two main words.

Step-by-step explanation:

Just got this right :')

HELP!!! DUE IN 8 MINS!! ​

Answers

Answer:

Step-by-step B. is your answer

explanation:

What is the measure of angle GXI?

Answers

Answer:

Step-by-step explanation:

GXI with three points sounds like a triangle and a triangle angle equals 180 degrees.

Add picture and I'll try to solve full problem

Please help I will give brainliest

Answers

Answer:

The third option 56

Step-by-step explanation:

56 is the middle number but I'm sorry if I'm wrong

the two the numbers -2.6 and -2.1 are shown on the number line what is the distance between the two points​

Answers

Answer:

0.5

Step-by-step explanation:

The distance between the points will be the difference between the points as shown;

Difference = -2.1 - (-2.6)

Difference = -2.1 + 2.6

Difference = 2.6 - 2.1

Difference = 0.5

Hence the difference between the numbers -2.6 and -2.1 on the number line is 0.5

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?

A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3

Answers

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

Evaluate the expression: 2 ⋅ 6^2 *

Answers

2*36=64
Thank you hope this helps

Answer:

72

Step-by-step explanation:

First square 6.

6^2=36

Then multiply 26 by 2.

2*36=72

What TWO steps do you take to solve the following equation: 5x - 3 = 12

Answers

Answer:

First add 3 to each side

Then divide each side by 5

Step-by-step explanation:

5x - 3 = 12

First add 3 to each side

5x-3+3 = 12+3

5x = 15

Then divide each side by 5

5x/5 = 15/5

x = 3

Answer:

3

Step-by-step explanation:

5x = 12 + 3

x = 15/5

x = 3

Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =

Answers

< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6

Find the value of x

Please help

Answers

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

Angle ABD is 90°
What is the measure of ZABC?
O A 360
O B. 54°
OC. 90°
OD. 126°
O E. 144º

Answers

It would be answer choice B, 54 degrees.
you would do 90-36 to get the measure of angle ABC.

What is equivalent to 0 = 2x2 - 16x – 18 when completing the
square?

Answers

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

-4--7=n cual es el valor de n ​

Answers

The answer is -11

-4 - -7 = -11

A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.

Answers

Answer:

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]

                                                             = 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]

⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12

Now,

Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]

                                    = [tex]e^{-2ln(100 - t)}[/tex]

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²

     = 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]

     = 12(100 - t) ([tex]\frac{t}{100}[/tex])

     = [tex]\frac{3t(100 - t)}{25}[/tex]

⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]

∴ we get

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

which statement is true.

Answers

All parallelograms are quadrilaterals.

7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *

7x+8y+5x+3(y+1)

a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3

A. Associative Property of Addition

B. Commutative Property of Addition

C. Combine Like Terms

D. Distributive Property​

Answers

Answer:

A. Associative property of addition

Step-by-step explanation:

The associative property is about the grouping of terms/numbers in parentheses in an equation.

Will give brainlest, find the area

Answers

The answer would be 42

Find the unit rate: $1.98 for 3 pounds

Answers

Answer:

$0.66 or 66 cents

Step-by-step explanation:

[tex]\frac{1.98}{3} =0.66[/tex]

What is the median of the data set?



9
8.5
8
10

Answers

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

Answer:

The median is 8.5

Step-by-step explanation:

The median is the middle number in a data set. For example, if you had a data set:

2, 2, 3, 4, 4

You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.

However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.

For example, if the final two numbers were:

2, 6

You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.

In this set, we have

5, 8, 8, 8, 8, 9, 9, 9, 10, 10.

The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.

find the value of x ​

Answers

Answer:

x=6,1,5 is your answer look it once

Solve for X in the diagram below.

Answers

Answer:

X = 56

Step-by-step explanation:

4.

What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)

Answers

Answer:

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Step-by-step explanation:

Given

[tex]sin\ A = \frac{2}{4.5}[/tex]

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\ A = \frac{AC}{AB}[/tex]

[tex]\cos\ A = \frac{2}{4.5}[/tex]

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