a particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at a rate of 24,600 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?

Answers

Answer 1

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)

= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%


Related Questions

23 more than the product of 7 and a number

Answers

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

Find the slope of a line parallel to the line

12x + 3y = 15.

A parallel line would have slope m =
The solution is

Answers

Answer:

The answer is - 4

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x + 3y = 15

Express it in the form y = mx + c

3y = -12x + 15

Divide all terms by 3

y = - 4x + 5

From the equation m = - 4

Since the lines are parallel their slope are also the same

So the slope of the parallel line is also - 4

Hope this helps you

-4 hope it helps .......

Find the volume of a cylinder that has the following dimensions. Do not round your answer.
(Use 3.14 for pi.)

Radius = 5 cm
Height = 0.25 m

Volume = __ cm3​

Answers

Answer:

19.625 cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 * 5^2 * .25

V =19.625 cm^2


Estimate the difference of 10 2/3-6 9/11
6
3
06
4

Answers

Answer:

5

Step-by-step explanation:

If you calculate it it will be 4 28/33 which is closer to 5

Your answer should be 5

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 13 inches, side 14 inches, and blank hypotenuse.
a.
91 in.
b.
46.1 in.
c.
19.1 in.
d.
182 in

Answers

Answer:19.1

Step-by-step explanation:

Answer:

B. 46.1 in

Step-by-step explanation:

First, we must find the hypotenuse of the triangle.

Since this is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.

13^2+14^2=x^2

Evaluate each exponent.

13^2=13*13=169

14^2=14*14=196

169+196=x^2

Add 169 and 96

365=x^2

Take the square root of both sides.

√365=√x^2

√365=x

19.1049732=x

Round to the nearest tenth.

19.1=x

The hypotenuse is 19.1 inches

Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)

13 in +14 in +19.1 in

46.1 in

The perimeter is 46.1 inches and B is correct.

You are miguel Cervantes de Navas y colon, captain in the royal spanish army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illusion. On an idle afternoon you dicide to calculate the number of cannonballs in the stack. What is the number of cannonballs? A. 650 B. 506 C. 623 D. 571

Answers

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

HELP QUICK ILL GIVE A Brainliest to the first person Which of the answer choices is a coordinate point from the table below?

Answers

Answer:

2/$5.00

Step-by-step explanation:

It's the only one that makes sense

Answer:

4,10

It is the only option on the table

Step-by-step explanation:

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y-2x = -2
y- x = 1
A. More than 1 solution
B. x = 4, y = 3
C. No solution
O D. x = 3, y = 4

Answers

Answer:a x=3 y=-4

Step-by-step explanation:

SOMEONE PLS HELP ME!!! The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.

Answers

Answer:

35

Step-by-step explanation:

We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:

15, 15, 15, 15, 15.

We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:

12, 15, 18, 15, 15.

Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:

1, 15, 18, 15, 26

Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:

1, 2, 18, 15, 39.

Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:

1, 2, 18, 19, 35.

Each value is distinct.

The largest possible value is 35.

Answer:

35.

Step-by-step explanation:

Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.

You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.

You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.

Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.

To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.

And there you have it! The maximum possible value of the largest of these five integers is 35.

Hope this helps!

Name the similar triangles. ΔABC ~ ΔDEF ΔABC ~ ΔEDF ΔABC ~ ΔDFE ΔABC ~ ΔFED

Answers

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

Olivia has $150 in her savings account. She will save and deposit $40 each week. What inequality show how many weeks it will take her to have at least $400 in her account?

Answers

Answer:

40x+150>=400 i think

Step-by-step explanation:

40x+150>=400

40x>=250

x=6.25

Simplify (*x* +2x? - 5x)+(-3x + x +1)+(3+* + 2x).
A. 3x + 2x* - 3x2 – 3x² +1
B 4x*- 3x + x2 + 4x +2
C. 4x4 - 3x + 3x² + 4x +2
D. 4x*- 3x + 3x? - 3x + 1

Answers

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

Your answer should be D

5 mL =____gtt
A. 75
B. 100
C. 50
D. 25

Answers

Answer:

Answer:

b. 100

Step-by-step explanation:

PLEASE HELP ASAP Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? A. squid, crab, tuna, eel B. eel, squid, tuna, crab C. squid, eel, crab, tuna D. eel, tuna, crab, squid

Answers

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.

Answers

Answer:

B. Quadratic Function

Quadratic Term: 15x^2

Linear Term: 9x

Constant Term: -6

Step-by-step explanation:

1. F.O.I.L (firsts, outers, inners, lasts) the function

BREAK APART:       3x(5x - 2)    and    3(5x - 2)

(fx) = 15x^2 - 6x + 15x - 6

f(x) = 15x^2 + 9x - 6

There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.

How many students all together?

Answers

Answer:

from the top of my head if I read the bars right I think its 98 but I could really see the bars

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15= 102

HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?

Answers

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation:

Point Q(-1,5) is reflected across the line x=-1. What are the coordinates of its image?
(15)
(1-5)
-1.5)

Answers

Answer:

(- 1, 5 )

Step-by-step explanation:

Since the x- coordinate of Q, x = - 1 lies on the line of reflection.

The point Q will remain unchanged, that is

coordinates of image are (- 1, 5 )

Which of the following is the correct scientific notation for 0.00566 meters?

A. 566 x 10-5 m
B. .566 x 10-3 m
C. 5.66 x 10-3 m
D. 5.66 x 103 m

Answers

Im going to say the answer is C

Hey guys please help find the area

Answers

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height).  Remembering to multiply this by 2, we get

area of figure = (base)(height)

                                             √3

                       = (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

                                               2

Instructions

Search your home for a rectangular prism. Some examples are a cereal
box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

Part 1).List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 3 1/2in

Width: 1 1/2in

Height: 7in



Part 2) Describe the shape of the cross section when the box is cut parallel to the base.

• The cross section had a rectangular shape and goes through the box minimizing the width of the shape.



Part 3) What is the surface area of the box?

• 80.5 square inches



Part 4) What is the surface area of the box if it is scaled up by a factor of 10?

• 805 square inches



Part 5) What is the volume of the box?

• 36.75 square inches



Part 6) What is the volume of the box if it is scaled down by a factor of 1/10?

Answers

541/2 square in I hope this helps

What is the form of the Sum of Cubes identity?

Answers

Answer:

D. a³+b³=(a+b)(a²-ab+b²)

Explanation:

That is the form of the Sum of Cubes identity

Help please....Thanks

Answers

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Solve the equation 2(5x-4)=ax+b

Infinite solution
One solution
No solution?

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Since we don't have the values of a and b, a and b can be any number. If they can be any number, then our answer has to be infinite solutions, as our answer can vary between different values.

Infinite solution.
since you don’t know what a and b are there could be many solutions

Let f be defined as shown. Which statement is
true?
Answers
The inverse of f exists
The inverse of f does not exists

Answers

Answer:

[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]

Step-by-step explanation:

hello,

for one x you cannot get several values of f(x), otherwise this is not a function

as 6 and 7 gives 0 it means that

f(6)=f(7)=0 which is fine for f

but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images

and this is not possible

so the inverse of f does not exist

hope this helps

In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​

Answers

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

What is the slope of the line shown below? A. -1/3 B. 1/3 C. -3 D. 3

Answers

Answer:

C. -3

Step-by-step explanation:

Plugging both of those points into the slope formula gets you a slope of -3.

I NEED HELP !!! If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
StartFraction 1 over 7 EndFraction
StartFraction 2 over 7 EndFraction
StartFraction 4 over 7 EndFraction
StartFraction 5 over 7 EndFraction

Answers

Answer:

The answer is StartFraction 5 over 7 EndFraction

Answer:

The probability of the complement of the original event is 5/7.

Step-by-step explanation:

The probability of the complement of an event is 1 less the probability of the event, so

We get:  1 - 2/7, or 5/7

The probability of the complement of the original event is 5/7.

Note that  5/7  and 2/7  add up  to 7/7, or 1.


In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls. Find the probability
that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.​

Answers

Answer:

The probability  that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is [tex]\dfrac{4}{7}[/tex] .

Step-by-step explanation:

We are given that in a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.

The roll numbers of students begin with boys and end with girls.

Firstly, we will calculate the number of boys and girls in the class.

Number of boys in the class =  [tex]\frac{4}{7}\times 35[/tex]

                                               =  [tex]4 \times 5[/tex] = 20

Number of girls in the class =  [tex]\frac{3}{7}\times 35[/tex]

                                               =  [tex]3 \times 5[/tex] = 15

So, the roll numbers of boys are numbered as = {1, 2, 3,..........., 19, 20}

and the roll numbers of girls are numbered as = {21, 22, 23,..........., 34, 35}

Prime numbers are those numbers that come in their own tables and 1.

The roll number of boys having prime numbers are = {2, 3, 5, 7, 11, 13, 17, and 19}

There are total of 8 boys.

Composite numbers are those numbers that come in the tables of other numbers also.

The number of girls with composite roll number or an even roll number = {21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, and 35}

There are a total of 12 girls.

So, the total number of favorable boys and girls = 8 + 12 = 20

Total number of students in class = 35

So, the probability  that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is given by =  [tex]\frac{20}{35}[/tex]  =  [tex]\frac{4}{7}[/tex] .

Does it matter which dimensions you select for the length and the width when you find the area of a rectangle? Explain. I need this by 1 : 36

Answers

Answer:

The area of a rectangle is the product of the length and the width of the rectangle.

The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,

Answer:

To find the area you need both the length and width

A= lw

Practically it doesn't matter which one you call length or width  as long as both of them used in the calculation. The product of them doesn't change.

Other Questions
2m^2? + 10 = 210Answer plssss Solve (x+3)^2=8 using the quadratic formula. What is the rule about ending a sentence with a preposition? Which phrase includes alliteration?O A. That cookie tastes like heaven on Earth.O B. The kitchen doors pulled me in, and before I knew it, I had gobbleddown the whole cake.O C. Ice cream is my savior on days like today.O D. Some sweet smells are wafting through the kitchen door. This table values that represent a quadratic function. A. The main purpose of parkour is to keep moving forward by combining various movementssuch as the roll, cat leap, precision jump, kong vault, and speed vaultin a fluid fashion. B. The main purpose of parkour is to keep moving forward (by combining various movements such as the roll, cat leap, precision jump, kong vault, and speed vault) in a fluid fashion. C. The main purpose of parkour is to keep moving forward by combining various movements (such as the roll, cat leap, precision jump, kong vault, and speed vault) in a fluid fashion. D. The main purpose of parkour is to keep moving forward by combining various movements, (such as the roll, cat leap, precision jump, kong vault, and speed vault)in a fluid fashion. Please select the best answer from the choices provided A B C D A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now? Describe the Atlantic Trade route. Which three locations did the trade route meet? What was traded along the route? What was the Middle Passage? Write your response in a complete paragraph. Determine the uniform annual value for the cash flow below at an interest rate of 11% per year. Year 0 1 2 3 4 5 6 7 8 9 Cash Flow, 0 $ 30,000 30,000 30,000 30,000 45,000 45,000 45,000 45,000 45,000 a. $38,474 b. $37,744 c. $36,595 d. $39,595 From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?a.They increasec.They stay the sameb.They decreased.cannot be determined from the graph prove the following identity: sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x please provide a proof in some shape form or fashion :/ The researchers participating in the experiments described above were assigned to conduct new experimentation, also on Leigh syndrome-positive mouse specimens. As a precursor step, it was decided to create a new population of Leigh syndrome-positive mice. What would be the option most likely to be successful in creating this population 1. Light from a laser shines through two narrow slits 0.300 mm apart and produces an interference pattern on a screen 4.35 m away consisting of 9 bright fringes over a distance of 6.4 cm. a) Draw a labeled diagram of this scenario and briefly explain how the interference pattern is created b) Calculate the wavelength of the laser. What color is it? Although the term podcasting has caught on, a more accurate term when it applies to video content is ________. a. tubecasting b. webcasting c. vcasting d. viewcasting Do class limits and class marks make sense for qualitative data classes? Explainyour answer.NEED QUICKLY Give the function f(x)= 0.5lx - 4| -3, for what values of x is f(x) = 7 What is the solution to the equation? 98 + g = 150 98 + g = 150. 98 + 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 + 98 + g = 150 + 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 + 98. t = 148. Having been introduced to the Victorian Era, what characterized the era? What elements of the changes during this period do you predict help me please for the love of god what is the answer the vertices of ABC are A(-2, 2), (6,2), and (0,8). Its area is _ square units.