1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara31 [8.8K]
3 years ago
7

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

You might be interested in
Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

3 0
3 years ago
Un ganadero está reparando una mezcla de avena y harina de maíz para ganado. Cada onza de avena proporciona 4 gramos de proteína
Feliz [49]

Answer:i love you

Step-by-step explanation:

3 0
3 years ago
There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run, How many runs can we paint?
nadya68 [22]

There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run. To find the amount of runs you can paint, you have to divide the total by the amount for each run.

7 \div \frac{5}{9}

When dividing fractions, you have to keep, change, and flip.

Keep\ 7 \\ Change\ \div\ to\ \times \\ Flip \frac{5}{9} = \frac{9}{5}

Your new equation is:

7 \times \frac{9}{5}

Multiply:

7 \times \frac{9}{5} = \frac{63}{5} = 12 \frac{3}{5}

You can paint 12 \frac{3}{5} or 12.6 runs.

4 0
3 years ago
SOMEONE PLEASE HELP ME!!!!! ILY!!!
wariber [46]
Shade above I believe
8 0
3 years ago
Can anyone help me on that question too its math plsss​
Assoli18 [71]

Answer:

2x= 40°

5x= 100°

Step-by-step explanation:

2x on opposite angle because it is an isosceles triangle

2x+ 2x+ 5x = 180° (angles of a triangle)

9x= 180

x= 180/9

x= 20°

Sub

2(20)= 40°

5(20)= 100°

7 0
3 years ago
Other questions:
  • Find the quotient. (6x 2 + 23x + 20) ÷ (5 + 2x)
    13·2 answers
  • What is the length of the line
    6·2 answers
  • Beach ball with diameter of 24 inches what is the volume of air in the beach ball to the nearest of a cubic foot?
    10·1 answer
  • Need help solving..........
    6·2 answers
  • Find the missing pieces of the triangle round to the nearest tenth ​
    10·1 answer
  • If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80
    8·1 answer
  • Write an expression that means "eight less than the product of seven and m"
    10·1 answer
  • Frank is going to plant x vegetable seeds in one garden and 3x+2 vegetable seeds in another. How many seeds is frank going to pl
    13·2 answers
  • What is the measure of ∠NMP?
    14·1 answer
  • A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!