the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places

Answers

Answer 1

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

d = distance      v[tex]i[/tex] = initial velocity (m/s)    

t = time (s)     a = acceleration (m/[tex]s^{2}[/tex])

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)

220.98m = (4.905m/[tex]s^{2}[/tex])(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise


Related Questions

x+3<9 answer pls 2x+5<12

Answers

Answer:

first one: x<9 second: x<3.5 or 7/2

Step-by-step explanation:

first: substract 3 from both sides

second: substract 5 and then divide by 2

1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?

2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?

3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?

4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:

5.3 + 7.4



2.45 + 3.95



2.5 – 1.3



4.12 – 2.80

Answers

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?

Answers

The 64 ounce bottle of orange juice would have the greater percentage of water (75%) while the bottle of apple juice has only 40%

If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.

What is the expression that shows how many extra credit points Mona earned?

How many terms are in the expression?

Answers

e-32 is equal to the number of points Mona earned. There are two terms in this expression.

Which type of data would be best displayed in a box plot?

the number of inches of snow received each year by a ski resort

the portion of the drama clubs budget needed for each type of expense

the number of heads and tails that came up in 100 coin flips

the number of votes received by each of four candidates

Answers

Answer:

the portion of the drama clubs budget needed for each type of expense

Step-by-step explanation:

the number of inches of snow received each year by a ski resort

- you should use line graph to see data changing in consistent time period

the portion of the drama clubs budget needed for each type of expense

- you can use box plot to see the box plot to show median and q1 q3 of the expenses.

the number of heads and tails that came up in 100 coin flips

- you should use pie chart to see the percentages in entire population  

the number of votes received by each of four candidates

- you should use bar graph to compare 4 comparable object.

The portion of the drama clubs budget needed for each type of expense

What is a data set?

A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row represents a specific record of the data set in question.

a) The number of inches of snow received each year by a ski resort

you should use a line graph to see data changing in the consistent time period

b) The portion of the drama club budget needed for each type of expense

you can use the box plot to see the box plot to show the median and q1 q3 of the expenses.

c) The number of heads and tails that came up in 100 coin flips

you should use a pie chart to see the percentages in the entire population  

d) The number of votes received by each of the four candidates

you should use a bar graph to compare 4 comparable objects.

Therefore a portion of the drama club's budget is needed for each type of expense.

To know more about datasets follow

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Simplify. x+y -x²-y²/x-y

Answers

X=222 y=58 nngvvhhydvkuvv

A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1

Answers

Answer:

D) y = x + 1

Step-by-step explanation:

D is the answer because the slope is 1 and the y-intercept is 1

The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m

Answers

The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the number of visitors during month m.

There were 600 visits to the site the first month and they double each month, hence:

a = 600, b = 2

The exponential function is given by:

[tex]y = 600(2)^m[/tex]

Find out more on exponential function at: brainly.com/question/2456547

Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’

Answers

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

I need help!! 6-10!!!!!!!!!!!!!!!!

Answers

It is -4 have a good day

Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS

Answers

Answer:

b part 20 t or i think c part 2t +6

It’s D I used quick math

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth

Answers

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

The hypotenuse is NOT located across from the right angle

True or false

Answers

The statement, The hypotenuse is NOT located across from the right angle is false.

What is a right angled triangle?

A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.

Please find attached an image of a right-angled triangle. To learn more about  a triangle, please check: https://brainly.com/question/9329354

please help before it's Monday ​

Answers

Answer:

Mateo's data shows a negative association

Step-by-step explanation:

Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.

We can clearly see the typos found number increasing through the number of pages. Which is bad :/

Hope this helps :)

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Answers

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

I NEED HELP WITH PRECALC PLEASE

Answers

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

(d)  2 +(-5) +(-12) +... (a)  a8

Step-by-step explanation:

1.

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

2.

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.

Answers

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

D: one solution

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

You can learn more about the number of solutions a system of equations has  at https://brainly.com/question/25960609

How many solutions does the system of equation have?

2x + 3y = 9 and y = 2/3x - 2

A.
One solution

B.
Two solutions

C.
Infinitely many solutions

D.
No solutions

Answers

Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection

In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.

Answers

Answer:

7.8

Step-by-step explanation:

subtract 85 - 77.2

Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.

Answers

We need slope/rate of the table

(3,2)(6,4)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

5/7=25/213/5=9/151/37/9 7/11=21/33

Option D is correct

Option

The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.

Answers

Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

PLEASE HELP !!!


x^2-34=16x

Answers

Answer:

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0

Add 100 to both sides:(x - 8)^2 = 100

Take the square root of both sides:x - 8 = 10 or x - 8 = -10

Add 8 to both sides:x = 18 or x - 8 = -10

Add 8 to both sides:Answer:  x = 18 or x = -2

Step-by-step explanation: DONT TRUST THIS THOUGH

What is the vertex of f(x) = 3Ix-2I +4?

Answers

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.

Answers

The simple interest earned is  $17,000.

The interest earned with annual compounding is $25,978.13.

The interest earned with quarterly compounding is $26,583.59.

The interest earned with monthly compounding is $26,722.72.

The formula that can be used to determine simple interest is: principal x time x interest rate

$20,000 x 20 x 0.0425 = $17,000

The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.

The formula that can be used to determine future value is:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

Annual compounding = $20,000 x (1.0425)^20 = $45,978.13

Interest earned = $45,978.13 - $20,000 =  $25,978.13

Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59

Interest earned = $46,583.59  - $20,000 = $26,583.59

Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72

Interest earned = $46,722.72 - $20,000 = $26,722.72

To learn more about future value, please check: https://brainly.com/question/18760477

Rewrite the equation in slope-intercept form. Then identify the slope and the y-intercept.

x + 3y = 6

Equation:

Slope:

Y-intercept (written as an ordered pair):

Answers

See attached picture for the answer

6/24 divided by 12/16 show work please

Answers

1/3


6/24= 1/4
12/16=3/4

(1/4)/(3/4)= 0.3333 repeated which is 1/3

The value when 6/24  is divided by 12/16 is equal to 1/3.

To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/16 is 16/12.

So, the division can be written as:

6/24 ÷ 12/16 = 6/24 × 16/12

6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Now, we have:

1/4 × 4/3

To multiply fractions, we multiply the numerators together and the denominators together:

(1 × 4) / (4 × 3)

= 4/12

The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(4 ÷ 4) / (12 ÷ 4)

= 1/3

Therefore, 6/24 divided by 12/16 is equal to 1/3.

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find the maclaurin series of the given function f(x)=ln(1-x)

Answers

Answer:

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Step-by-step explanation:

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Name the triangle as described

Answers

Answer:

scalene triangle

Step-by-step explanation:

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need help with this dividing whole numbers thing which research observation triggered the idea that biological factors could cause mental illness? (b) Find the sum of first twenty terms of the following arithmetic progressions A.P(i) -4,-1, 2,...(ii) 2, 3, 5,...(iii) -2, -5, -8, -11,... The weight of a beaker is measured to be 78 grams, but the actual weight of the beaker is 82 grams. What is the approximate percent error in the measurement? A) 4% B) 5% C) 6% D) 7% PLEASE HELP ME WITH THIS im so confused on this I don't even know where to begin I really would appreciate help for this one pleaseeeeeeee True or false: 1-51 = -5? PLEASE HELP ILL GIVE5 STARS HELP ASAP What does an alcoholic beverage contain that is a central nervous system depressant? Jack is a page (a knight's helper) in Camelot. His story involves jousting matches and boisterous feasts. Although Jack is small for his age, he hopes to become a knight someday, like his tough older cousin. While working in the horse stalls one day, Jack overhears a plot against the king. He collects evidence and presents it to his cousin, who delivers the news to the king. The plot is thwarted and Jack is hailed as a hero.In part of the story, some other children tease Jack, saying he'll never amount to anything because he is so short. Which statement best explains how this plot event develops the theme that being smart and resourceful is more important than being big and strong?A.It shows that being observant of our surroundings can lead to surprising rewards.B.It shows that children can be cruel and need to be taught not to act as bullies.C.It shows that inner strength is not always recognized by those around us.D.It shows that short people are treated unfairly and should be given more power. Please help with algebra class Im struggling Given: x + 5 10. Choose the graph of the solution set. Hannah completed 40 problems in 32 minutes.I have to put it in a unit rate pls help Sunland Inc., a real estate developing company, was accounting for its long-term contracts using the completed contract method prior to 2021. In 2021, it changed to the percentage-of-completion method. The company decided to use the same for income tax purposes. The tax rate enacted is 40%. Income before taxes under both the methods for the past three years appears below. 2019 2020 2021 Completed contract $480000 $318000 $156000 Percentage-of-completion 780000 399000 300000 Which of the following will be included in the journal entry made by Sunland to record the income effect? a. A debit to Retained Earnings for $239400.b. A credit to Retained Earnings for $228600.c. A credit to Retained Earnings for $158400.d. A debit to Retained Earnings for $158400. Please help me!!!!! will you please help me with my math thank you Mrs.Hendrics said "where are the books"? Correct me please if it is incorrect.Please 50 points+brainliestStep 1: Copy and paste an analytical claim in the box below. Identify the type of claim being made (facts/definition, cause and effect, value, or solution). Then, revise the statement to make it work better as a specific type of claim.Step 2: What are the two sides of the argument involved in your claim, and which do you support? Revise the latest version of your thesis statement (the one you from the end of Step 1) so that it becomes clearer which side of the argument your claim. expresses or explains.Step 3: How can you make your thesis statement more precise? Is it narrow enough? Can you add more specific information to it? Revise the latest version of your thesis statement to make It more precise or specific.Step 4: What type of sentence is your thesis statement? Is that the best type for what you want to say? Identify your claims clauses and phrases and look for ways that you might modify If a stock's closing price for the day is 32.47, the stock's price in U.S. dollars would beMultiple Choice$32.47.$3,247.$32 plus a $.47 commission.in between a low of $32 and a high of $47. Solve for x./12=3/2