A rock is thrown down from a cliff that is 180 m high. The function
h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock
above the water, where h(t) is the height in metres and t is the time
in seconds. When will the rock reach a ledge that is 105 m above
the water?

Answers

Answer 1

Answer:

t = 3

Step-by-step explanation:

105 = -5t^2 -10t + 180

-75 = -5t^2 -10t

15 = t^2 +2t

t^2 +2t -15 = 0

(t+5)(t-3)

t = -5, 3

There's no such thing as negative time so you use the positive answer


Related Questions

Mr Nelson paid $3.84 tax he pay the sales tax rate of 8% how much was item he was buying before sales tax was added ​

Answers

Answer:

Mr. Nelson paid $48 befor tax.

Step-by-step explanation:

Let x be the price of the item before tax.

108 % * x - x = 3.84 (the tax itself)

27/25x - x = 3.84

2/25 x = 3.84

x = 48

The price of a large pizza is $16.25. You had a coupon that made the price of a large pizza $13.00. For what percent off was the coupon?

Answers

It should be 20 percent

You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After
how many wears are the total costs the same at the companies?

Answers

Company A: y = 50x + 15
Company B: y = 130x + 55

Set the equations equal to each other and solve for x (number of weeks).
50x + 15 = 130x + 55

Subtract 50x from both sides:
15 = 80x + 55

Subtract 55 from both sides:
-40 = 80x

Did you have a typo? The companies will never have the same cost because company B costs so much more and weeks cannot be negative.

8
1
6
+
-7
² – 50 – 14 V - 50 - 14

Answers

Answer:

Simplified is 14V+653

Step-by-step explanation:

Answer:

The answer is 14V+653

Step-by-step explanation:

Who ever gets it right first gets brainliest

Five sisters are busy. Ann is reading, Rose is cooking, Katie is playing chess, and Mary is doing laundry. What is the fifth sister doing?

Answers

Answer: Playing chess with Katie cause who'd play chess by themself right?

Step-by-step explanation:

whats 23,982 rounded to the nearest thousand


I need help

Answers

Answer:

24000

Step-by-step explanation:

What two numbers multiply to -24 and add to -5?

Answers

-8 and 3
(-8 * 3 = -24)
(-8 + 3 = -5 )

The two numbers that multiply to -24 and add to -5 are 3 and -8

How to determine the numbers

From the question, we have the following parameters that can be used in our computation:

Product = -24

Sum = -5

Let the numbers be x and y

So, we have

xy = -24

x + y = -5

Let x be 3 and y be -8

So, we have

3 * -8 = -24

3 - 8 = 5

The above equations are true

Hence, the numbers are 3 and -8

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Sonia is older than her brother Eddie.The sums of their ages is 38.The differences is 14

Answers

Answer:

Sonia is 26

Eddie is 12

Step-by-step explanation:

What is the solution for x in the equation?
-x + 3/7 =2x -25/7

Answers

Answer:

x = 4/3 is your answer

Step-by-step explanation:

Hope this helps!!

Which expression is equivalent to −0.8(10.8x−20+3.2x)
?

Answers

Answer:

It's −11.2x+16

Step-by-step explanation:

In a sale, all the prices are reduced by 25%. Julie sees a jacket that cost $32 before the sale. How much does it cost in the sale?

Answers

Answer:

$24

Step-by-step explanation:

25 percent of 32 is 8

32-8 is 24

so its 24 dollars after the sale has been added

A restaurant sells 10 tacos for $8.49, or 6 of the same kind of taco for $5.40. Which is the better deal?

Answers

Answer:

10 tacos

Step-by-step explanation:

10 tacos is the better deal because

it is 0.85 cents. 0.85 x 10 = $8.50 per taco for 10 tacos while it would cost $0.90 per taco for 6 tacos

0.90 x 6 = 5.40.

Hope this helps.

Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet
The surface area of the large box is times larger than the small box.

Answers

Answer:

Z-Grand Shipping Company manufactures boxes in the shape of a cube.

The formula for the surface area of a cube is 6s, where s is the length of one side.

Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216

square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54

square feet

The surface area of the large box is 4 times larger than the small box.

{So for the first line which is The surface area of each large box is

square feet.}

Ans;216

{The second line which is The surface area of each small box is

square feet.]

Ans;54

{The Third line which is The surface area of the large box is times larger than the small box.}

Ans;4

Thank you So much Hope this helps you! Please Mark Brainleast looking forward to help everyone ty!

The surface area of each small box is 54 square feet and each large box is 216 square feet.

What is the area of cube?

The formula for the surface area of a cube is 6s, where s is the length of one side.

We are given that Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet.

The surface area of each large box is 216 square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54 square feet

The surface area of the large box is 4 times larger than the small box.

The surface area of each large box = 216 square feet.}

The second line which is The surface area of each small box is

= 54 square feet.

The Third line which is surface area of the large box is times larger than the small box is;

4

Learn more about the area;

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Does anyone know this? I can't seem to figure this one out at all.

Answers

Answer:

a = 5, b = -1

Step-by-step explanation:

Simplify the left side.

Multiply both numerator and denominator by the conjugate of the denominator:

(√3 - 1)/(√3 + 1) = (√3 - 1)(√3 - 1)/(√3 - 1)(√3 + 1) =(√3² - 2√3 + 1)/(3 - 1) =(10 - 2√3)/2 = 5 - √3

Compare this to the right side to get:

5 - √3 = a + b√3a = 5, b = -1

I'm so confused to this problem someone please help me ​

Answers

(xy)⁷

=(x⁷)(y⁷)

This is the simplified term.

Answer:

Step-by-step explanation:

Hope this helps

A bus driver started her day with an empty bus. At her first stop she picked up
11 people. At her second stop she picked up 5 more people and let 7 people
get off. At her third stop she picked up 5 people and let 2 off. How many
people were on the bus as the driver left the third stop?

Answers

12 people were on the bus.

Step-by-step explanation:11+5-7+5-2=12


Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

Answers

Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

Solve the system of linear equations by substitution. y=2x-3 y=-x+9

Answers

Answer:

x=4, y=5. (4, 5).

Step-by-step explanation:

y=2x-3

y=-x+9

----------

2x-3=-x+9

2x-(-x)-3=9

2x+x=9+3

3x=12

x=12/3

x=4

y=2(4)-3=8-3=5

PATTY HAS $20 DOLLARS TO SPEND ON A GIFT FOR HER FRIEND. HER MOM GIVES HER $5 DOLARS MORE. IF EACH GIFT COST $5 HOW MANY GIFTS CAN PATTY BUY?

Answers

Answer:

5 gifts

Step-by-step explanation:

20 + 5 = 25

25/5 = 5

Answer:

5

Step-by-step explanation:

20+5=25

25/5=5

What does
-$10 +$8 +$5 -$4
=

Answers

Answer:

It would equal 19 dollars

Step-by-step explanation:

Alex does 210 dabs in 6 minutes. He does his dabs at a constant rate.

How many dabs can Alex do per minute?

Answers

Answer:

35

Step-by-step explanation:

you need to divide 210 by 6 to get dabs per minute. 210/6=35. he does 35 dabs per minute

Answer:

He will be a quick dabber

so 35

Step-by-step explanation:

10pts
Cierra had $18 to spend on 6 pencils for school. After
buying the pencils she had $7.50 left. How much did
she spend on each pencil? Write an equation to represent your problem

Answers

Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

Nolan's family took a road trip to Niagara Falls. Nolan fell asleep 77% of the
way through the trip. If the total length of the trip was 400 miles, how many
miles had they travelled when Nolan fell asleep?

Answers

Answer:

308 miles

Step-by-step explanation:

he was awake for 77% of the trip; 400 x .77 = 308

HELP ASAP PLEASE!!!!!

Answers

35) 48 cents each!
36) 297 miles a day!

35. $0.48

2.88/6 = 0.48

36. 297 miles

1188/4 = 297

What's the additive inverse of - 1/4

Answers

Answer:

+ 1/4

Explanation:

Additive inverses are numbers that equal 0 when added together.

-1/4 + (+1/4) =

-1/4 + 1/4 = 0

Write the equation of the line in fully simplified slope-intercept form.​

Answers

Step-by-step explanation:

x= -7 y=0

x= -3 y =-6

y =mx+b

b=-7

-6= -3m -7

-3m = 1

m= -1/3

y= -x/3 -7

[tex]y = - \frac{x}{3} - 7[/tex]

Do number 3 am giving brainliest look below

Answers

Answer:

18 cm^2

Step-by-step explanation:

please help thx 10 poin

Answers

Answer:

X = 55

Step-by-step explanation:

If the angel is 90:

75 + 90 = 165

165 divided by 3 = 55

Answer:

X=55

Step-by-step explanation:

Dakari makes 2 dozen jars of jam. The total
weight of all of the filled jars is 211.2 ounces.
When empty, each jar weighs 1.2 ounces. The
equation
can be used to calculate the weight, j, of jam in
one jar. The weight of jam in one jar is

Answers

Answer:

a and c for the blanks.

A point at (0, 9) can be reflected across the y-axis. true or false

Answers

Answer:

true

Step-by-step explanation:

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