Full question:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)
Answer and explanation:
Peak rate= 8 billion gallons per day
7.5 gallons = 1 cubic feet
Given that
8 billion gallons= 24 hrs
And 24 hrs = 86400 seconds
8 billion gallons =86400 seconds
In one second =8000,000,000/86400
= 92,592.593 gallons
Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets
Therefore the flow rate in cubic feet per second = 12345.68 cubic feets
If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river
B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet
And 1 mile = 5280 feet
1 square mile = 27878400 square feet
8 square miles = 8 × 27878400 = 223027200 square feet
To calculate the height,
The number of foot by which the water level rose in one day is
1066666752/223027200 = 4.7826 feet per day
if the perimeter if the triangle is 17 , find the value of x , find the length of each side
Answer:
Wheres the picture that gose with it ?
Step-by-step explanation:
Answer:
x= 17
Step-by-step explanation:
Go to
Find EF. Please help!
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
Determine the solution for x^2-3x-28=\> 0
Answer: x = -4 or x = 7
Step-by-step explanation:
x^2 - 3x - 28 =/>
(factor)
(x^2 + 4)(x-7) = 0
x + 4 = 0 or x - 7 = 0
(subtract -4 from 0 and 7 from 0)
x = -4 or x =7
Answer:
(infinity, -4] or [7, infinity).
Step-by-step explanation:
right on edge
Graph this function using intercepts:
5x–3y=30
Answer:
hi im rachel
Step-by-step explanation:
in a lab a substance was heated by 16ºC over a period of 4 hours at a constant rate
9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.
Step-by-step explanation:
x is a t-shirt
y is a hat
9x + y = 93.00
4x + y = 43.00
(9x + y) - (4x + y) = 93.00 - 43.00
9x + y - 4x - y = 50.00
5x = 50.00
x = 50.00/5
x = 10.00 [a t-shirt costs 10.00]
4x + y = 43.00
4×10.00 + y = 43.00
40.00 + y = 43.00
y = 43.00 - 40.00
y = 3.00 [a hat costs 3.00]
Is BAK ~ JOL? Explain your reasoning.
Answer:
Since the ratios are not equal the triangles are not similar
Step-by-step explanation:
Triangle Similarity
For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.
Triangle BAK has side lengths: BA=60, AK=38, and KB=36
Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.
Calculating the ratios of the corresponding side lengths:
BA/JO=60/50=1.2
AK/OL=38/28=1.36
KB/LJ=36/26=1.38
Since the ratios are not equal the triangles are not similar
A is at (-2, 1) and B is at (4, -1).
P is a point on y-axis which is equidistant from A and B.
What are the coordinates of P?
Answer:
The coordinates of P are (1,0)
Step-by-step explanation:
Midpoint
The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).
Calculate the midpoint:
[tex]\displaystyle x_m=\frac{-2+4}{2}=1[/tex]
[tex]\displaystyle y_m=\frac{1-1}{2}=0[/tex]
Thus, the coordinates of P are (1,0)
Note the midpoint does not lie on the y-axis but on the x-axis.
There are 52 weeks in a year. The plant runs for 12 months. How many weeks let when 52 weeks are divided by 12 months?
Step-by-step explanation:
in one month , it runs for 52/12 weeks
that is 4 weeks
Manoj and Tamar are arguing about a number trick they heard.
Tamar tells Andrew to think of a number, multiply it by five and
subtract three from the result. Then Manoj tells Andrew to think
of a number, add five and multiply the result by three. Andrew
says that whichever way he does the trick he gets the same
answer.
a. What was the number Andrew started with?
b. What was the result Andrew got both times?
c. Name another set of steps that would have resulted in the
same answer if Andrew started with the same nu
Answer:
a . Andrew's started with number 9
b. 42
c. 4x + 6 = (x+12)*2
Step-by-step explanation:
Let the Andrew's number is x
Tamar tells Andrew to think of a number, multiply it by five andsubtract three from the result
5x - 3
Manoj tells Andrew to think of a number, add five and multiply the result by three.(x +5)*3
as he was getting the same answer so both the numbers will be equal
5x -3 = (x+5)*3
5x - 3 = 3x + 15
2x = 18
x = 9
a. Andrew's started with number 9
b. (1) 5x- 3 = 5*9 - 3
= 42
(2) (x + 5)*3
= 14*3 = 42
c. Think of a number, then multiply it with 4 then add 6 in it
Think of a number add 12 in it then then double it.
4x + 6 = (x+12)*2
x = 9
Please help me out!!!! I’m struggling
Answer:
SSS
Step-by-step explanation:
FACTPRIZE
A(X)=X^2-10x+25-(x-5)(2x+3)
Answer:
the ans is -x^2-3x+40........
Answer:
(5 - x )(8 + x)
Step-by-step explanation:
A(x) = x² - 10x + 25 - (x - 5)(2x + 3)
x² - 10x + 25 = (x - 5)²
A(x) = (x - 5)² - (x - 5)(2x + 3) =
(x - 5)(x - 5 - 2x - 3) =
(x - 5)(- x - 8) =
(5 - x )(8 + x)
In the figure, m<2 = 44. What is the measure of <1?
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help
Answer:
49 words per minute
Step-by-step explanation:
2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute
May I get brainliest please? :)
Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,
Typing speed of Yousef = 36 words/ (2/3) minutes
= (36×3)/2 words per minute
= 54 words per minute
Hence, the typing speed of Yousef in a minute is 54 words per minute.
Learn more about Division:
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Lan is instructed to draw a rectangle with an area of 450 square centimeters.
Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the
rectangle.
Answer:
xy = 450
Step-by-step explanation:
The relationship will be xy=450.
What is the Area?The area defines the extent of the region in which we are working.
How to solve it?As we know,
The area of a rectangle is given by xy=A
Where x, and y are the sides and A is the area.
So, the relation will be xy=450.
Learn more about the Area:
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is this congruent or not
Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volume is 5 ml. What is the density?
a
9 m/l
b
10 g/ml
c
6 g/ml
d
8 g/ml
Answer:
i dont know how to leave from this....
Step-by-step explanation:
someone else answered your question sorry i just dont know how to leave fromthis
which of the following points would be on the graph of the equation y= -2x + 10
a (-3, 16)
b ( -3, 4)
c ( 2, -6)
d (2, 14)
Answer:
a (-3,16)
Step-by-step explanation:
This type of question is typically done by a trail and error method.
Putting values in a part in the given equation
16= -2×(-3)+10
16= 6+10
16=16
LHS=RHS
Hence the correct answer is a (-3,16)
Convert .80 to percent
Answer:
80%
Step-by-step explanation:
you just move the decimal over twice have a great day
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units up.
O D. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
PREVIOUS
As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.
What is the transformation of a graph?"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
Given, the graph is f(x) = x².
We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).
Again, at the time of shifting a graph up we need to add a positive number of (b).
Therefore, a = 5 and b = 12.
Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².
Again, if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.
Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.
Learn more about the transformation of a graph here: https://brainly.com/question/10059147
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Find the Value 7 x (6 divided by 4) with a exponent of 2
2) Graph the system of inequalities
y > -2x + 1
y≤ x + 3
Translate this to english
Por favor ayúdame, no puedo tener constante y> -2x + 1
y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro
10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.
Answer:
Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.
Step-by-step explanation:
Given
Minutes: 10 || 16 || ? || 48
-----Miles: 2.5 || 4 || 7.5 || 12
Required
Which statements solve for the missing value?
First, we need to calculate the ratio of minutes to mile
[tex]Ratio = \frac{Minutes}{Mile}[/tex]
When minutes = 16; mile = 4
So, we have:
[tex]Ratio = \frac{16}{4}[/tex]
[tex]Ratio = 4[/tex]
Next, we multiply the ratio by 7.5
[tex]Minutes = Ratio * 7.5[/tex]
[tex]Minutes =4 * 7.5[/tex]
[tex]Minutes = 30[/tex]
Hence, option B answers the question.
pl pls pls help im a really bad at tables
Answer:
the answer is x=1
Step-by-step explanation:
if you look at the table it shows that 1 on both the tables equals 3
What is the value of ?
Answer:
65
Step-by-step explanation:
A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?
Answer:
P=$-303,424Step-by-step explanation:
given data
fixed cost= $14,000
variable cost function
[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]
revenue function
[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]
a. we know that total cost C=fixed cost plus variable cost
C=14000+0.000001x^3 - 0.01x^2 + 50x
[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]
profit is given as revenue minus the total cost
P=R(x)-C (x=2600)
[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]
substitute x=2600
[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]
[tex]P=-135200+390000-(1400+17576-67600)[/tex]
[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]
multiplying | dividing
Answer:
7 pieces
Step-by-step explanation:
21 yards have 63/3 of rope
2 2/3 yards are 8/3 yards
63/3 devided by 8/3 is almost 7 and 7/3
21 divided 3/8
PLZ HELP!
Answer:
56
Step-by-step explanation:
Write an
equation for the linear function f satisfying the given conditions.
1) f(-1) = -5 and f(5) = 7
Answer: f(x) = 2x - 3
===================================================
We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
giving brainliest !!!
Answer:
I am pretty sure it is 5/8 because it is perpendiculiar
Step-by-step explanation: