A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x² + 72x + 80. How long will it take to hit the ground?

Answers

Answer 1

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136


Related Questions


Let 0 be an angle in quadrant 3 such that cos0=-5/13.

Find the exact values of csc0 and tan0

Answers

Answer:

see explanation

Step-by-step explanation:

Given

cosθ = - [tex]\frac{5}{13}[/tex]

This is a 5- 12- 13 right triangle

with adjacent = 5, opposite = 12 and hypotenuse = 13

In quadrant 3

sinθ < 0 and tanθ > 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = -  [tex]\frac{12}{13}[/tex] and

cscθ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{1}{-\frac{12}{13} }[/tex] = - [tex]\frac{13}{12}[/tex]

then

tanθ = [tex]\frac{sin0}{cos0}[/tex] = [tex]\frac{-\frac{12}{13} }{-\frac{5}{13} }[/tex] = - [tex]\frac{12}{13}[/tex] × - [tex]\frac{13}{5}[/tex] = [tex]\frac{12}{5}[/tex]

Shade 0.25 of the design. Write a fraction in simplest fotm to represent the shaded part of the design

Answers

[tex]\\ \sf\longmapsto 0.25[/tex]

Remove decimal

[tex]\\ \sf\longmapsto \dfrac{25}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{4}[/tex]

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Hey there,

[tex]0.25 \\ \\ = \frac{25}{100} \\ \\ = \frac{25 \div 25}{100 \div 25} \\ \\ = \frac{1}{4} [/tex]

Hope this helps you.

Let me know if you have any other questions:-):-)

Determine if the ordered pairs represent a function.

{(1,5), (2,7), (3,9), (4,7)}


(yes or no)​

Answers

Answer: No

Step-by-step explanation:

There's no noticeable pattern.

find the inverse of -3y+5x=18

Answers

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

Which line shows the first error in the solution? Three more than a number divided by 4 is -12. What is the number?

Answers

Answer: Line 3

Explanation:

On the third line is where the student went from -12-3 to -9. This is not correct. Instead, it should be -12-3 turning into -15.

Think of it like being 12 feet under water (the number -12) and then moving 3 more feet deeper under water. You'll move down 3 to get to -15 to represent being 15 feet under water. Use a vertical number line if needed.

You can also compute -12-3 like 12+3 = 15, then just make everything negative. So -12-3 = -15

Setting 7/3 equal to which ratio would result in a valid proportion? 9/49 18/42 42/18 49/9

Answers

49/9 because if you simplify it, it would be 7/3 which is equal to the original ratio.

aolve the equation. 3/4x+3-2x = -1/4+1/2x+5

Answers

X would equal up to -1

2. A scuba diver dove 48 feet in 4 minutes.
What integer represents his change in depth
for each minute?
A. 52 feet per minute
B. 44 feet per minute
C. -12 feet
per
minute
D. -48 feet per minute

Answers

Answer:

C. -12 feet per minute

Step-by-step explanation:

This question is really just asking for the slope of this situation. So the best way to find the answer is to find the change in y over the change in x. In this case, y is the depth and x is the time. So, it would be -48/4 because the diver went down 48 feet when 4 minutes passed. Then, simply divide, -48/4, which equals -12 feet/1 minute.

A truck and carry a load of 5000 pounds assuming that it can be cut to fit how many feet of steel beam in Winx 32.6 pounds can the truck carry

Answers

About 153 Winx. Because 5000 divided by 32.6 is 153.374233129.

What is the slope of the line that passes through the points (8, 4) and (20, –4)?
Write
your answer in simplest form.

Answers

Answer:

formula is y2-y1 ÷ x2-x1

- 4 - 4 = -8

20 - 8 = 12 simplify and we get

[tex] - \frac{ 2}{3} [/tex]

Answer: [tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

-4-4=-8

20-8=12    [tex]\frac{-8}{12}[/tex]

ABCD is a parallelogram.Find angle CBD.

Answers

9514 1404 393

Answer:

  81°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent. The sum of the two angles at B is the same as the value marked at D.

  ∠CBD = 139° -58° = 81°

_____

Additional comment

The angles at A and C are both 41°, the supplement of the one marked 139°.

Plot each rational number on the number line.remember that fractions are part of a whole so a fraction like 1/2 will go halfway between 0 and 1.Also remember that a number like 1 3/4 is read as “one and three-fourths”

Answers

Answer:

the ancwer is -2 -1 0 1 2

Step-by-step explanation:

Yes

What are the measures of Angles a, b, and c?

Show your work and explain your answers.​

Answers

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

Use approximations to 1 significant figure , check that your answer to part A ) makes sense

Answers

10,000 x 600
———————. = 600000
10

What is the equation of the blue line?

Answers

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

A horizontal line has the equation ...

  y = constant

The constant can be found by counting grid squares or reading the label on the y-axis where the line crosses.

The equation of the blue line is y = 2.

2 ( -2 ) -8

3 ( -3 ) -18

5 ( -1 ) …
Ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa :(

Answers

Answer:

2 ( -2 ) -8 = -12

3 ( -3 ) -18 = -27

Step-by-step explanation:

Let y=r(x) be continuous and differentiable. Assume r'(x)=0 r′(x)=0 at x=ax=a.
If r'(x)<0 before x=a and r'(x)>0 after x=a

what must be true about r(a)?r(a)?
Choice 1: r(a) is a maximum value
Choice 2: r(a) is a minimum value
Choice 3: cannot determine based on this information

Answers

Answer:

am in callege i need points really much

Step-by-step explanation:

read bot stop answering my question no link no bot fast but wrong

Answers

Answer:

Step-by-step explanation:

First Sheet, First Question

1) D

2) D

3) B

4) D

First Sheet, Second Question

a) SQR 16

b) 7/8, sqr -42

c) 3.692, 4 pie, sqr 1/4

In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.

Answers

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.

y = -3
x - y = 8

Answers

Putting y=-3 in second equation

[tex]\\ \sf\longmapsto x-(-3)=8[/tex]

[tex]\\ \sf\longmapsto x+3=8[/tex]

[tex]\\ \sf\longmapsto x=8-3[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

(x,y)=(5,-3)

what is 0.08 as a percent. ​

Answers

Answer:

8%

Step-by-step explanation:

u have to multiply the number with 100

0.08 * 100

8%

help please. thank you very much

Answers

Answer: Offer B because it will cost less.

Step-by-step explanation: Hope this helps :)

find the exact value of ​

Answers

Answer:

value of what?

Step-by-step explanation:

I don't see the question

Calculaţi c.m.m.d.c. și c.m.m.m.c. al numerelor: 18; 120; 30; 450.​

Answers

anser is

Step-by-step explanation:

618 is the answer

The population of a town increases every year by 2% of the population
beginning of that year. The number of years by which the total increase of
population be 40% is

Answers

Answer:

Step-by-step explanation:

A = Pe^rt

A = 1.4P

r = 0.02

t = ?

e^0.02t = 1.4

ln both sides

0.02t = ln(1.4)

t = ln(1.4)/0.02

t ~ 16.8 years

A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find tanA, sinA, and cosA.

Answers

9514 1404 393

Answer:

tan(A) = 7/24sin(A) = 7/25cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

The price of a watch was $115 when it was launched last year. When a new version of the watch was released this year, the price of the earlier version of the watch decreased by 15%. Find the price of the earlier version of the watch this year.​

Answers

Answer:

$97.75

Step-by-step explanation:

115 times 0.85

why is 25/25 larger than 25/38

Answers

Answer:

Cause 25/25 is a whole number and 25/38 is not

Step-by-step explanation:

Brian went to the bank and withdrew $250 from his checking account.
The receipt that printed stated that Brian has $324 left in his account.
How much money did Brian have in his checking account before he
withdrew money? Create an equation to represent the situation. Make
sure to identify and label your variable. Solve for the variable and
describe your answer. Show your work and prove your solution to be
correct.

Answers

Answer: $574

Step-by-step explanation:

574 - 250 = 324

2. What is the probability that the third strike comes on the seventh well drilled?

Answers

Answer:

about a 5% chance

Step-by-step explanation:

That is, there is about a 5% chance that the third strike comes on the seventh well drilled.

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