A screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft? Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. The speed of sound is 1100 ft/sec. The shaft is approximately (Round to the nearest tenth.) | feet deep.

Answers

Answer 1

Answer:

Step-by-step explanation:

Using the equation of motion

S = ut+1/2gt²

S is the height of fall

g is the acceleration due to gravity = 9.81m/s²

u is the initial velocity = 0m/s

t is the time = 6s

Substitute in the formula;

S = 0+1/2(9.81)×6²

S = 4.905×36

S = 176.58m

The shaft is 176.58m deep

Given the expression for distance

S = 16t²

Velocity V = dS/dt

V = 32t

Given v = 1100

1100 = 32t

t = 1100/32

t = 34.375secs

Substitute t = 34.375 into S = 16t²

S = 16(34.375)²

S = 18,906.25ft


Related Questions

A line passes through the points (−8,−7) and (−4,−4). What is the equation of the line in Slope-Intercept Form? (A y=43x−1) (B y=34x−1) (C y=43x+1) (D y=34x+1)

Answers

Answer:

y=43x−1

Step-by-step explanation:

The equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.

What is the meaning of Slope-Intercept Form?The slope intercept form of such a straight line is among the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept equation can be utilized to find the equation of a line.

For the given question.

The  line passes through the points-

(x1, y1) =  (−8,−7)  

(x2, y2) = (−4,−4).

Find the slope using formula;

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

m = (-4 + 7)/(-4 + 8)

m = 3/4

The equation of the line in slope intercept form is found by;

y - y1 = m(x - x1)

y + 7 = (3/4)(x + 8)

y = (3/4)x - 1

Thus, the equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.

To know more about the Slope-Intercept Form, here

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HURRY! What value of x makes this equation true? (8.8C) *
20
+ 3
3
O a. 3
O 6.-9
C-1
d. 27

Answers

Either b or c I think but I’m not really sure

What is the difference in elevation between -28 and 49

Answers

Answer:

87 units

Step-by-step explanation:

PLEASE HELP I CANT FIGURE THIS OUT!!

Answers

Answer:

C

Step-by-step explanation:

I worked it out and it's right. plz give me brainliest owo

Answer:

C) 6^6

Step-by-step explanation:

When we divide same base numbers with different exponents, the answer will be the base raised to the power of the difference of those exponents:

The rule is: x^a/x^b=x^(a-b)

In this case: 6^9/6^3=6^(9-3)=6^6=46656

Therefore, C is the correct answer

x²=169 extracting square root​

Answers

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± [tex]\sqrt{169}[/tex] = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

select the correct answer. solve: -36 4/9-(-10 2/9)-(18 2/9​

Answers

The answer is in the image

A) Chanece wants to bake
6 cakes for the school bake
sale. The recipe says each
cake needs 2/4 cup of
sugar. How much sugar
will Chanece need for
her 6 cakes?

Answers

Answer:

3 cups

Step-by-step explanation:

If you multiply 2/4 x the 6 cakes he has to make you get a total of 3. He will need 3 cups of sugar for ALL 6 cakes.

Hope this helps☺️

question in above picture
explanation please not jusr answer

Answers

Answer:

x+16

Step-by-step explanation:

For this one the negative signs become positive because, if you multiply a negative number*a negative number it becomes positive. That is a rule.

[tex]-(-x-16)\\-1(-1x)-1(-6)\\x+16[/tex]

Answer:

C.) x+16

Distribute parentheses -(-x) - (-16)Apply minus-plus rules

x+16

:) Hope This Helps You :)

In the figure, x=2y, y=2z, and z=2w. Find the value of w. A. 12° B. 30° C. 36° D. 45°

Answers

Answer:

w=12

Step-by-step explanation:

put it like this

x=x

x=2y

x=4z

x=8w                         Now, x=8w, y=4w because there are 2 y's and 8/2 is 4, same thing goes with z so z=2w and w=w.

8+4+2+1=15             180/15=12

-1 x f(-8) - 4 x g(4)

Answers

Answer:

=8fx−16gx

Step-by-step explanation:

15
A recent college grad accepts a job at Google Inc. The job has a salary of $50,000 and is guaranteed an annual
pay increase of 3%. What will their salary be after 7 years?
Show Your Work

Answers

Answer

$60500

Step-by-step explanation:

$50,000÷100=500           1%=500

500x21(3%x7)=10500

$50,000+$10500=$60500

Joe lives in a city that is 15 feet below sea level. How could he
represent his elevation as an integer?

Answers

Answer:

He could say that he is -15 feet as seen from the sea level

The given statement can be represented in an integer as -15.

Given that, Joe lives in a city that is 15 feet below sea level.

We need to find how could he represent his elevation as an integer

How will you represent a sea level as an integer?

Whole numbers less than zero are called negative integers (-). These numbers are to the left of zero on the number line. Zero is neutral. It is neither positive nor negative.

Now, 15 feet below sea level can be represented as -15.

Therefore, the given statement can be represented in an integer as -15.

To learn more about an integers visit:

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Quadrilateral ABCD is a parallelogram. If m

Answers

Answer: Angle D would be the same as Angle B so the answer is 49 degrees.

Step-by-step explanation:

Yes it is a parallelogram

Find (x+y)^2 when (x-y)=5 and xy=24
Formula:
(a+b)^2 -(a-b)^2 =4ab
(7)

Answers

Answer:

(x + y)² = 121

Step-by-step explanation:

Using the identity

(x + y)² - (x - y)² = 4xy , then

(x + y)² - 5² = 4(24) , that is

(x + y)² - 25 = 96 ( add 25 to both sides )

(x + y)² = 121

The answer is 121 there u go

You need to write an essay that has at least 700 words. You have written 300 words so far. Write an inequality that represents the number of words w that you have left to write.

Answers

Answer:

300 + w ≤ 700

Step-by-step explanation:

It would not be 300 + w = 700 because you have to write at least 700 words, so 300 + w must be equal to or greater than 700, and the equal to or greater than sign is ≤

I hope this helps :)

Given m∥n .

What theorem or postulate justifies this statement?

∠4≅∠6

alternate interior angles theorem
alternate exterior angles theorem
corresponding angles postulate
vertical angles theorem
linear pair postulate

Answers

Answer: heres the answer for future people lel

The theorem that justifies this statement ∠4≅∠6 is; Alternate Interior Angles.

What are Alternate Interior angles?

When two parallel lines are crossed by a transversal line, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These alternate interior angles are always equal.

From the given diagram, we see that ∠4 and ∠6 fall into the category of alternate interior angles.

Read more about Alternate Interior angles at; https://brainly.com/question/24839702

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PLS HELP EMERGENCY what is 4/25 times 10. PLEASE ANSWER AS A FRACTION IN SIMPLEST FORM

Answers

The answer is 8/5.

4/5 x 10 = 1 3/5

= 8/5.

how can you tell if a number is irrational

Answers

Answer:

Basically if its a non-terminating:non-repeating decimal its irrational.

For Example:Pi:π = 3.141592…as you may know it goes on into infinity without a specific pattern to it

HOPE THIS HELPS!


A father's age is three times the sum
of the ages of his two children.After 5
years his age will be two times the sum
of their ages.Find the present age of the
father​

Answers

Let the age of father be x years and sum of the ages of his children by y years.
After 5 years,
Father's age = (x + 5) years
Sum of ages of his children = (y + 10) years
From the given information, we have:
x = 3y ...(1)
and x + 5 = 2(y + 10)
x - 2y = 15 ...(2)
From (1) and (2), we have,
3y - 2y = 15 y = 15
x = 3y = 45
Father's age = 45 years

A deep sea exploring ship is pulling up a driver at the rate of 45 feet per minute. How deep is the diver 10 minutes?

Answers

Answer:

450 ft

Step-by-step explanation:

45 x 10 = 450

Answer:

450 feet

Step-by-step explanation:

45 times 10 = 450

Simplify the following to an expression involving a single
trig function with no fractions.

Answers

Answer    

Step-by-step explanation:

cos x

-4<-2(3x+9)+5<1 Please help

Answers

Answer: if ur looking for interval notation its (-7/3,-3/2) ; if ur solving for x then its -7/3<x<-3/2

Step-by-step explanation:

PLS HELP ME 16 and 17

Answers

The distance is 36 from 16 there u go

PLEASE HELP!! It is a multiple choice so only one answer!

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Parallel to y=-3x+4,xintercept at 4

Answers

Answer: Equation: y=−3x+12

Explanation:

The x-intercept means y=0andx=4

Use the equation:

0=−3⋅4+b

Add 3⋅4=12 to both sides:

12=12

−12

=b→b=12

plz mark brainleist

Plz help I’m offering 40 points.

Answers

Alex didn't answer it correctly, because if you see the part where it says  -5x - (-7...

it has two minus signs, one in front of the parantheses, and one behind it.

Since they cancel each other, the 7 would be positive.

Multiply. 17.2 x 3.6​

Answers

The answer is 61.92




Explanation:

Answer:

61.92

Step-by-step explanation:

i just used a calculator

the differnce between 3 and 11

Answers

Answer:

-8

Step-by-step explanation:

Your club is going to make and sell cookies as a fund raiser. You buy ingredients for $33.25
and a sign for $2.50. You will sell each cookie for $0.50. Write and solve an inequality to
determine the number of cookies (c) you must sell to earn a profit of at least $50.

Answers

Answer:

172

Step-by-step explanation:

Are the lines given parallel, perpendicular, or neither? y=3x-7 and y=3x+1. Please help!

Answers

Answer:

These lines are parallel to each other

Step-by-step explanation:

It has the same slope of 3 and the only thing that is different is the y-intercept

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