A student drops a rock over the edge of the well and hears it splash into water after 3 seconds. Write a function in the form h(t) = − 16t2 + v0 t + h0 to determine the height of the rock above the bottom of the well t seconds after the student drops the rock. What is the distance from the surface of the water to the bottom of the well?

A Student Drops A Rock Over The Edge Of The Well And Hears It Splash Into Water After 3 Seconds. Write

Answers

Answer 1

Answer:

h(t) = -16t² + 200

distance = 56 ft

Step-by-step explanation:

First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.

Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.


Related Questions

all of the inequalities that have the same solutions as -4x<20

Answers



It would be 4 u welcome

A lawn sprinkler sprays water 4 feet in all direction as it rotates.
Find the area of the lawn the sprinkler covers. Use 3.14 for pi.

Answers

Answer:

50.24 ft^2

Step-by-step explanation:

The radius of the circle in which the lawn sprinkler sprays water is 4 feet.

The formula to find the area of a circle is [tex]\pi r^2[/tex], where r = radius and π, in this case, is 3.14.

3.14 × 4^23.14 × 1650.24 ft^2

Therefore, the answer is 50.24 ft².

Answer: D.50.24 ft

Step-by-step explanation:

A rectangular prism has a length of 20 centimeters, a height of 10 centimeters, and a width of 20 centimeters. What is its volume, in cubic centimeters?

Answers

Answer:  4000 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length*width*height.

We can plug in the values given:

Volume = 20 cm * 20 cm * 10 cm

Volume = 4000 cm^3

Simplify the expression to a polynomial in standard form:

(x – 4)(3x² + 4x – 4)

Answers

3x ^ 3 - 8x ^ 2 - 20x + 16

Solve the system of linear equations.
6x+2y=16
2x - y = 2
Do I put into point slope form??

Answers

Answer:

The simple answer, "Yes"

Answer:

Point slope form of the equations:

y = -3x + 8

y = 2x - 2

Solution to the system of equations:

(x, y) ==> (2, 4)

Step-by-step explanation:

6x + 2y = 16

2x - y = 2

6x + 2y = 16

2(2x - y = 2)  ==> 4x - 2y = 4

6x + 2y = 16

4x - 2y = 4

10x = 20

/10     /10

x = 2

Now, we solve for y:

6x + 2y = 16

6(2) + 2y = 16

12 + 2y = 16

-12         -12

2y = 4

/2   /2

y = 2

(x, y) ==> (2, 2)

Point-slope forms:

6x + 2y = 16

-6x          -6x

2y = -6x + 16

/2        /2

y = -3x + 8

2x - y = 2

-2x      -2x

-1y = -2x + 2

/-1       -1

y = 2x - 2

Hope this helps!

Marie has bought a plant which she needs to transfer from its cylindrical pot to the ground. The pot has diameter 10 cm and is 21 cm high. Marie needs to dig a hole 4cm wider and 5cm deeper than the pot. She then inserts the plant and fills in the rest of the hole with extra soil. (i) Calculate the volume of the hole Marie needs to dig. (ii) Before inserting the plant, Marie fills the hole with water. How much water will she need, assuming none of it soaks away? (iii) Marie is planning to paint the outside of the cylindrical pot excluding the top and bottom. Calculate the area to be painted​

Answers

Using known formulas for cylinders, we will get:

i) 4,000.36 cm^3ii) 4,000.36 cm^3iii) 1,142.96 cm^2.

Working with cylinders:

We know that the pot has a diameter of 10cm and a height of 21 cm, and the hole must be 4 cm wider (so the diameter is 14cm) and 5 cm deeper (so the height is 26cm).

i) The volume of a cylinder of radius r and height H is given by:

V = pi*r^2*H

Where pi = 3.14, and the radius is half the diameter, so we have:

r = 14cm/2 = 7cm.

Then the volume is:

V = 3.14*(7cm)^2*26cm = 4,000.36 cm^3

ii) To fill a volume of 4,000.36 cm^3, you need 4,000.36 cm^3 of water.

iii) The curve surface of a cylinder is given by:

S = 2*pi*r*H

Remember that:

r = 7cm

H = 26cm.

Replacing that we get:

S = 2*3.14*7cm*26cm = 1,142.96 cm^2

So se must paint an area of 1,142.96 cm^2.

If you want to learn more about cylinders, you can read:

https://brainly.com/question/7194993

Solve this for me please.

Answers

Answer:

Solve what? there's nothing there.

The Woodman Firewood Company delivers natural firewood to homes in Manhattan,
They charge a certain amount per cord for firewood and a fixed amount for each delivery,
no matter how many cords are delivered. My bill from WFC last winter was $155 for one
cord of wood, and my neighbor's bill was $215 for one and one-half cords. What is the
charge for each cord of wood and what is the delivery charge?

Answers

Answer:

step by step and the dog got 10 fire wood

3(2x+1)(4x+1) Which of the following is equivalent to the expression above?
A 45x


B 24x2 + 3


C 24x2 + 18x + 3


D 18x2 + 6

Answers

C is the answer to the question

What would the equation be for the points (0,-2) and (2,6) be? (SLOPE INTERCEPT FORM y=mx+b)

Answers

Answer:

Slope m=4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

We have A(0,-2)->x1=0, y1=-2

B(2,6)->x2=2, y2=6

please answer quickly thank you

Answers

Answer:

the last one.                       -0.5<t≤3.

Step-by-step explanation:

the black circle means including so 't' is less than or equal to 3

the white circle means not including so 't' is more than -0.5

The county health inspector will select a random sample of 4 community swimming pools in the county to investigate the pH levels. (b) Describe the sampling distribution of the sample mean for samples of size 4.

Answers

Using the Central Limit Theorem, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution is normal, with mean [tex]\mu[/tex] and standard deviation [tex]0.5\sigma[/tex].

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Hence, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], and with the sample size of n = 4, the mean remains the same while the standard deviation is given by:

[tex]s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

how do i write 35% of $96.88 and explain my work

Answers

Answer:

$33.91

Step-by-step explanation: Take 35% and change it to .35 now multiply 96.88 by .35 and you will get 33.908 round up to 33.91

Answer:

33.908

Step-by-step explanation:

To find the percentage of a certain number, you need to convert the percentage into its decimal form (0.35) and multiply it by the certain number. Then you'll have your answer!

0.35*96.88=33.908

33.908 is 35% of 96.88

Here's another example! Let's say you want to find 45% of.... 78!

45% is 45/100. The first step is to convert 45% into its decimal form. (45/100=0.45)

Then you multiply the decimal by the number you want to find the percentage of!

0.45*78=35.1

35.1 is 45% of 78!

I hope this helped :D

19. You borrow
$3000 (prinupal)
for 4 years and
pay a 9% interest
9
rate. How much
interest do you
pay ?

Answers

Answer

Interest =1080

Step-by-step explanation:

The formula to solve interest is Principal times Rate times Time

The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?

Answers

Answer:

(1,1) x=1 y=1

Step-by-step explanation:

The population of a small town increased by 3.25 in the last year. What if the town population was 10,400 last year show work

Answers

Answer: 33,800

Step-by-step explanation: 10,400 x 3.25 = 33,800

Answer:

14,200 people are now in the town

Step-by-step explanation:

First, find 3.25% of 10,400.

3.25% of 10,400

3.25 × 10,400 = 3,800

Then, add that to 10,400 to get 14,200.

10 small and 8 large cost $192. 20 small and 1 large cost $99. What is cost of a small
Vhat is cost of a large?

Answers

Answer:

Step-by-step explanation:

small=s,    s=3.99

large=l,       l=19.20

10s+8l=192.20

20s+l=99

we can see that in the second equation, 20s+l=99

l=99-20s

lets replace l in the first equation

10s+8(99-20s)=192.20

10s+792-160s=192.20

-150s=-792+192.20

150s=599.80

s=3.99

l=99-20(3.99)=99-79.80=19.20

Answer:

19

Step-by-step explanation:

You can set up a system of equations.

x=small, and y = large.

10x+8y=$192

20x+1y=$99

you can multiply the first equation by -2 to get rid of x:

20x+1y=$99

-20x-16y=-$384

when you combine them, you get:

-15y=$-285

you can divide by -15 and you get:

y=19, so 1 large equals $19

2b+y is this an equation?

Answers

Answer:

No because equations have equal signs

Step-by-step explanation:

This is an expression

Find the constants "a", "b", "c", "d" and "e" in a quartic ((a[tex]ax^(4)+bx^(3)+cx^(2)+dx+e = y[/tex]) WITHOUT USING DERIVATIVES
Given the points:
(1, 181/3)
(6,5)
(14,1)
(28, 6/853)

Answers

Answer:

question error

Step-by-step explanation:

try uploading the question again

Consider these scenarios. 1. An elephant weighs 1. 5 × 104 units. 2. A mouse weighs 2. 13 × 10-5 units. 3. A puppy weighs 1. 2 × 102 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.

Answers

An ounce unit will best represent each scenario.

The average weight of an elephant is around 3000-4000 kg.

The average weight of a mouse = 15-20 grams

The average weight of a puppy = 25-30kg

It is given that

Weight of the elephant = [tex]1.5 * 10^5[/tex] units ≈150000 units

Weight of the mouse = [tex]6.3*10^2[/tex] units ≈630 units

Weight of the puppy = [tex]1.2*10^3[/tex] units ≈1200 units

What is the relation between an ounce and a kg?

1 ounce = 0.0253495 kg

150000 ounces = 3800kg, near to actual value

630 ounces = 16kg, near to actual value

1200 ounces = 30kg, near to actual value

Therefore, an ounce unit will best represent each scenario.

to get more about units of a mass visit:

https://brainly.com/question/229459

(7y
3
−2y
2
+5) + (4y
3
−3y)

Answers

Answer:

26 y + 5

Step-by-step explanation:

Simplify the following:

7 3 y + 4 3 y - 3 y - 2 2 y + 5

7×3 = 21:

21 y + 4 3 y - 3 y - 2 2 y + 5

-2×2 = -4:

21 y + 4 3 y - 3 y + -4 y + 5

4×3 = 12:

21 y + 12 y - 3 y - 4 y + 5

Grouping like terms, 21 y + 12 y - 3 y - 4 y + 5 = (21 y - 4 y + 12 y - 3 y) + 5:

(21 y - 4 y + 12 y - 3 y) + 5

21 y - 4 y + 12 y - 3 y = 26 y:

Answer: 26 y + 5

What is the volume of the shape?

Answers

[tex] \tiny\red{{\pmb{==========================================}}}[/tex]

Answer:

84km

Step-by-step explanation:

[tex] \sf \: \: \: \: \: \: = 7 \times 4 \times 3 \\ \sf = \underline \green8 \underline \green 4 \: km[/tex]

[tex] \tiny\purple{{\pmb{==========================================}}}[/tex]

#CARRYONLEARNING

===========

V = 7 × 4 × 3

V = 84 km

===========

-CallMeKi

How much greater is the sum of the interior angles of a decagon the song of the interior angles of a quadrilateral

Answers

Answer: 1080 degrees

Step-by-step explanation:

a family consumes 325 grams of sugar everyday if 3 kg is bought then how much of sugar is brought then how much will remain after a week​

Answers

1000g = 1kg

325g x 7 = 2275g

3000g - 2275g = 725g

how do u work this out

Answers

Step-by-step explanation:

use this equation

y = mx + c

m is the gradient

c is the y intercept

m is

m is rise/run

the line rises from 3 to 10

so rise is 7

the line runs from 0 to 3.5

so run is 3.5

m = 7/3.5

m = 2

c is

y-intercept is where the line is equal to x=0

that point is

(0, 3)

so y int is 3

c = 3

put back into equation

y = mx + c

and comment your answer

please mark brainest

Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x-15=185. What is Martha's height?​

Answers

Answer:

Step-by-step explanation:

If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height? A:90.

What is the 5th term of the geometric sequence -2,-8, -32, -128, ...?

Answers

Answer:

-512

Step-by-step explanation:

The common ratio is multiplying by 4, therefore 4 muliplyed by -128 is -512

According to the general equation for conditional probability, if P(AuB) = 5/7 and P(B) = 7/8, what is P(A| B)?​

Answers

Answer:

P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

bonsoir, je suis bloqué sur lex 5 s'il vous plaît aidez moi merciii​

Answers

Answer:

j'ai écrit ci-dessous

Step-by-step explanation:

Salut, j'utilise un traducteur, mais revenons à votre question

Je ne suis donc pas sûr de la question a, mais j'essaierai d'y répondre plus tard.

Pour la question b, il a utilisé la formule "a-b" je pense. C'est déjà indiqué dans le tableau. D'accord, je vais essayer de trouver la question a maintenant !

Edit

salut je suis de retour! donc d'après mes découvertes, le pgcd (si pgcd est le plus grand diviseur commen) serait 207. C'est parce que vous pouvez diviser les deux par 207, et une fois que vous le faites, vous ne pouvez plus le diviser par des nombres égaux.

2277/207 = 11

1449/207 = 7

J'espère que cela t'aides!

Find the distance from N to T. (N=-2,1 T=3,1)

√29
√14
29
7

Answers

7 is the answer

hello bro

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