At the shorter waterfall, water falls uninterrupted for 1552 feet before entering the river below. The height h above the river in feet of water going over the edge of the waterfall is modeled by h\left(t\right)=-16t^2+1552h(t)=−16t^2+1552, where is the time in seconds after the initial fall. Estimate the time it takes for the water to reach the river. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

9.9s

Step-by-step explanation:

First note that the river is on the ground level. The height of the river at the ground level is 0

Given the the height h above the river in feet of water going over the edge of the waterfall is modeled by h(t)=-16t^2+1552

When h = 0

0 = -16t^2+1552

16t^2 = 1552

t² = 1552/16

t² = 97

t = √97

t = 9.9secs

Hence the time it takes is 9.9secs to the nearest tenth


Related Questions

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping paper sold. Tell if the equation or inequality represents a number that would beat the school record.

Answers

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

Is there a solution to 8,-5

Answers

Answer:

The solution is x = 8.

Step-by-step explanation:

Which statement is NOT true about the absolute value of -6?

Answers

Answer:

2: it describes the distance between 6 and -6 on the number line.

Steve Conway wants his team to win more than 57 games this year. His team has already won 2 games this season and there are 5 more months to play. Based on his goal, how many games must his team win per month? Write answer as an inequality.

Answers

Answer:

11

Explanation:

Because 57 minus 2 games already equals 55, so 55 games divided by 5 months equals 11, so 11 games each month will get u to 57.

The number of games must his team win per month will be;

⇒ x > 11

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Steve Conway wants his team to win more than 57 games this year.

And, His team has already won 2 games this season and there are 5 more months to play.

Now,

Let number of games must his team win per month = x

So, We can formulate the inequality as;

⇒ 5x + 2 > 57

Solve for x as;

⇒ 5x > 57 - 2

⇒ 5x > 55

⇒ x > 11

Thus, The number of games must his team win per month will be;

⇒ x > 11

Learn more about the inequality visit:

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Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges ​

Answers

3 x 6 = x


X = 18 oranges

Answer:

3x6

Step-by-step explanation:

pls helppp
math work
bleh

Answers

Answer:

m = -10

Step-by-step explanation:

>:)

Answer:

m= -10

Step-by-step explanation:

2< -7 - (-10)

2< -7 + 10

2< 3

Can y’all help me and tell me what the answer is please I’m a bit stuck

Answers

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

[tex](-2x^4)^4=-16x^{16}[/tex]

The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even

so, in our case it would be:

[tex](-2x^4)^4=16x^{16}[/tex]

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Graph the line that has a slope of 1/2 and includes the point (6,7)

Answers

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

PLZ ANSWER CORRECTLY 1 2⁄6 ÷ 4 1⁄3

Answers

Answer:

0.30715935334

Step-by-step explanation:

8/6 ÷ 13/3

1.33÷ 4.33

0.30715935334

Answer:

4/13

Step-by-step explanation:

i know im 6 days late but i tried to find this answer but i got it wrong so 4/13 is the answer(im answering this incase if someone else is looking for the answer)

Giving brainliest & a thanks if you answer all of them

At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend?

To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?

If Mia buys that many packages of each item, what is her total cost? Show your work.

Answers

Answer:

the lowest amount mia can spend is $75

Step-by-step explanation:

3x12=36

12x3+15 this is for the noise makers

9 x 4= 36

15 x 4 = 60

60+15=75

she will spend 75 dollars on party suplies

Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth

Answers

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true

Answers

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

If a plane goes 2000m in 10 seconds - what is it's speed?

Answers

Answer:

200 mps

Step-by-step explanation:

Answer:

200m

Step-by-step explanation:

The formula for speed is:

Speed= Distance/Time

So time to solve:

speed=2000/10

          =200

speed=200

What is the domain of f(x)=(1/2)^x

Answers

Answer:

x is greater than zero c is correct

I think your answer is A. All real numbers

Use distributive property to rewrite

1. 4(x + 9)

2. 3 (-2x + 4)

Answers

1. 4x+36

2. -6x+12

and aww your pfp

1+5= what does this equal

Answers

Answer:

1+5=6

Step-by-step explanation:

Three consecutive integers sum to 36. Which integers are they?

Answers

11, 12, 13

Step-by-step explanation:

gb ndndhdyydhsbdgr

Please help! I’ll mark brainlist and 5 stars!

(You have to see which one is right for the sentence provided, and which ones are false out of A-D)

A. The equation of the line is y = 1/2x

B. Sasha can make 60 gift bags in 2 hours.

C. The constant of proportionality is l = 1/2

D. Sasha can make 2 bags per minute.

Answers

Answer:

D

Step-by-step explanation:

The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

Step-by-step explanation:

find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

f(x)=√(4-x), [-5,4]​

Answers

Answer:   c = 7/4

================================================

Work Shown:

Compute the function value at the endpoints

[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]

With a = -5 and b = 4, we have

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]

So,

[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]

Use algebra to solve for c

[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]

What is 130% of 56 lbs. ​

Answers

130% of 56=
(130\100)*56
(130*56)/100
7,280/100

=72.8

There is a bag with only red marbles and blue marbles.

The probability of randomly choosing a red marble is 2/7







There are 16 red marbles in the bag and each is equally likely to be chosen.

Work out how many marbles in total there must be.

Answers

Answer: 56

Step-by-step explanation:

Given that :

Marbles in bag are only red and blue ;

Probability of randomly choosing a red = 2/7

Number of red marbles in bag = 16

The total Number of marbles =?

P(choosing a red marble) = required outcome / Total possible outcomes

Required outcome = number of red marbles

Total possible outcomes = total number of blue and red marbles

Total number of blue and red marbles = x

P(choosing a red marble) = required outcome / Total possible outcomes

2/7 = 16 / x

Cross multiply

2x = 16 * 7

2x = 112

x = 112 / 2

x = 56 marbles

Total number of marbles = 56

Plz i need some help =(

Answers

Answer:

72.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

An angle's measure is 43 less than 6 times the measure of its
complement. Find the measure of both angles,

Answers

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

Please help I will mark you brainliest if you’re right!!

Answers

Answer:

C

Step-by-step explanation:

8x-9+53=180 solve for x

Answers

Answer:

x=17

Step-by-step explanation:

1: Simplify both sides of the equation.

8x−9+53=180

8x+−9+53=180

(8x)+(−9+53)=180(Combine Like Terms)

8x+44=180

8x+44=180

2: Subtract 44 from both sides.

8x+44−44=180−44

8x=136

3: Divide both sides by 8.

(8x=136 )/8

x=17

Tell whether (-1,3) is a solution of the inequality whose graph is shown.

Answers

Answer: No.

Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)

Solve for all values of x by factoring.
x^2– 25 = 0

Answers

Answer:

Step-by-step explanation:

a²-b²=(a+b)(a-b)

x²-25=0

x²-5²=0

(x+5)(x-5)=0

x=-5,5

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

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Find the value of f (-2)for the function f (c) = 5x+8

Answers

F(-2) means to replace x in the equation with -2 and then solve.

5(-2) +8 = -10 + 8 = -2

The answer is -2

The graph of the function f(x) is shown below.
COA
2
-6 -6 -4 -2
-2
2468
-4
co
-87
The equation of the function g(x) is shown below.
g(x) = 3x
What is the solution to the equation f(x) = g(x)? Enter your answer in the box.

Answers

Answer:

i think 2\

Step-by-step explanation:

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