Amount of sludge dispose per minutes is 100 lb.
What is Rate of change?
A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.
Here it is given that :
A pump can dispose of sludge at the rate of 6,000 lb/h, that is in one hour pump dispose 6000 lb of sludge.
it is known that 1 hour = 60 minutes
Therefore, to find the amount of sludge dispose by pump in ome minute we divide 6000 with 60 :
amount of sludge dispose in one hour = 6000 lb
amount of sludge dispose in 60 minutes = 6000 lb
amount of sludge dispose in 1 minutes = 6000 lb/60 = 100 lb
Therefore, amount of sludge dispose per minutes is 100 lb
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NO LINKS!! Please help me with these problems. Part 4a
Answer:
(a) --> f(x) = -(x - 4)²
(b) --> f(x) = x² + 3
(c) --> f(x) = (x - 2)²
(d) --> 6. f(x) = 3 - x²
Parent function of all the graphs is y = x²
(a)
The graph makes a sad face meaning the coefficient will be negative.
Comparing to the parent function y = x², the graph has been translated 4 units to the right.
Equation: f(x) = -(x - 4)²
(b)
The graph makes a happy face meaning the coefficient will be positive.
Comparing to the parent function y = x², the graph has been translated 3 units up.
Equation: f(x) = x² + 3
(c)
The graph makes a happy face with translation 2 units to the right.
Equation: f(x) = (x - 2)²
(d)
The graph makes a sad face with translation 3 units up across y axis.
Equation: f(x) = -x² + 3
Translation rules:f(x + a) : translation a units left in the x axis.
f(x - a) : translation a units right in the x axis.
f(x) + b : translation b units up in the y axis.
f(x) - b : translation b units down in the y axis.
Construct an angle of measure 45° with the help of a protractor. Bisect it and find the measure of the bisected angles .
Answer:
See attachment
Step-by-step explanation:
Draw a 45o angle
Bisecting means dividing the angle into 2 halves, which is 22.5o each
Which describes the collection of all points in the same plane that are 81/2 inches from point T
The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.
A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.
A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.
A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.
Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.
Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.
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Your question was incomplete, check for the full content below-
Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?
A.) Circle T with radius 8 1/2 inches
B.) circle T with diameter 8 1/2 inches
C.) circle T with radius 17 inches
D.) a sphere with center T and radius 8 1/2 inches
Consider a set of data in which the sample mean is 30.9 and the sample standard deviation is 7.7. Calculate the z-score given that x = 31.1. Round your answer to
two decimal places.
The value of the z-score is calculated as 0.259.
What is descried as normal distribution?The standard normal distribution is the variable of a normal distribution to mean 0 and variance 1. The normal distribution follows a bell curve. The z-table aids in determining the area beneath the curve.
The normal distribution is also known as the Gaussian distribution, after just a German mathematician.The t-distribution is another distribution that may be described as having a bell shape. It differs as from normal distribution in that the tails are thicker. It is commonly employed in the analysis of small sample size datasets.Now, as per the given question;
The formula for the z-score is;
z = (x - μ)/σ
x = sample size
σ = standard deviation
μ = mean of the sample
For the given values in the question;
x = 31.1
σ = 7.7
μ = 30.9
Substitute the given values in the formula to fine z-score;
z-score = (31.1 - 30.9)/7.7
z-score = 0.259
Therefore, the value of the z-score is computed as 0.259.
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In 2002, a school population was 1655. By 2008 the population had grown to 2711.
1) How much did the population grow between the year 2002 and 2008?
convert each of the following base-ten numberals in the indicated bases
456 in base 5
Answer:
3311
Step-by-step explanation:
The steps are as follows
1. Divide 456 by 5. This gives a quotient of 91 with a remainder of 1. This remainder becomes the least significant digit of the new base number. This would be the right most digit. So the number is _ _ _ 1
2. Take the quotient, 91, divide by 5 again. This gives a quotient of 18 with a remainder of 1. Put this remainder to the immediate left of the previous value. So we have the number as _ _ 1 1
3. Take the previous quotient, 18, divide by 5 again. 18/5 gives quotient of 3 with a remainder of 3. Put this to the immediate left of the previous number giving the number as _ 3 1 1
4. Repeat the division of the new quotient by 5. 3/5 gives a quotient of 0 with remainder of 3 so we stop
Number = 3 3 1 1
Best done by writing a program or using a calculator
The width of a rectangle measures (5v - 2w) centimeters, and its length measures (6v+7w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? (10w +22v) (-2+14w + 22v) (22v + 10 )( 11v +5 )
Help asaP!!!
Answer:
(22v and 10w)
Step-by-step explanation:
A rectangle is a 4 sided figure. Perimeter is the distance around the rectangle. The total distance would be
(5v -2w) + (5v - 2w) + (6v+7w) + (6v + 7w) Add all the like terms together
5v + 5v + 6v + 6v - 2w - 2w + 7w + 7w
The v's add up to 22 and the w's add up to 10
32 - (4 x s) = 12
What does the s stand for?
PLEASEEE HELPPPP
ASAP 20 POINTS!!!!!
Answer:
5.
Step-by-step explanation:
32-20-12.
the tiles (right angled triangles) are arranged around a parallelogram-shaped tile. Calculate the area of the parallelogram. b= 36 h= 13.2
The area of the parallelogram is 475.2 square units.
A parallelogram is a polygon with four sides whose each pair of opposite sides are equal and parallel.
The properties of parallelogram are:
Both pairs of opposite side are equal and parallel .Both diagonals are equal.Each diagonal divides the parallelogram into 2 congruent triangles.Squares , rectangles and rhombus are parallelograms.The area of a parallelogram is given by the product of base and height of the parallelogram.Given base b of the parallelogram a 36 units and height h of the parallelogram as 13.2 units.
Therefore we know from the properties of the parallelogram that area is given by the product of base and height.
∴area = b × h
or, area = 36 × 13.2
or, area = 475.2 square units
Hence the area of the parallelogram is 475.2 square units .
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The city of Raleigh has 10,300 registered voters. There are two candidates for City Council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 300 randomly selected registered voters was conducted. 9595 said they'd vote for Brown, 182 said they'd vote for Feliz, and 23 were undecided.
Answer:
What do I solve for?
Step-by-step explanation:
how many days will it take to finish a 20 pound bag of rice when you use 0.4 pounds each day
Answer:
50
Step-by-step explanation:
divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 91 ?
Answer:
Mark has 18 and Don has 73
Step-by-step explanation:
Let M = Mark and let D = Don
D = 4M + 1
D + M = 91
Substitute and solve for M
4M +1 + M = 91
5M = 90
M = 18
Therefore D = 4(18) + 1 = 73
below
(3 - i)(3 + 1) =
Answer:
12-4i
Step-by-step explanation:
i means √-1
(3 - i)(3 + 1) =
3*3=9
3*1=3
-i*3= -3i
-i*1 = -i
9+3-3i-i=
12-4i <--- answer
(3 - i)(3 + i) =
3*3=9
3*i=3i
-i*3= -3i
-i*i = -(√-1)*(√-1) = -(-1) = 1
9+3i-3i+1 =
10 <--- answer
The dividen is greater that 1,000, The quotient of 52 with a remainder of 18
The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variable called division.
Let's consider a division problem.
5/2 → 2 + 1
Here 5 is called the dividend,2 is the divisor,2 is the quotient, and 1 is the remainder.
Now,
2 × 2 + 1 = 5
Therefore,divisor × quotient + remainder = dividend
So,
Let's suppose the divisor in the given case is x
Now,
52x + 18 ≥ 1000
52x ≥ 982
x ≥ 18.86
Hence "The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86".
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The given question is incomplete complete question is ;
What is the minimum divisor such that The dividend is greater than 1,000, The quotient of 52 with a remainder of 18
If angle YXZ measures 90 degrees, which statement is true?
(answers are below)
segment XZ is perpendicular to segment WY
WX =XY
segment XZ is a perpendicular bisector of segment WY
X is the midpoint of segment WY
The true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.
What are Perpendicular Segments?Perpendicular segments are line segments that intersect at a point to form right angles which is equal to 90 degrees. The point where perpendicular segments meet have an angle measure of 90 degrees.
In the given diagram, we are told that angle YXZ is equal to 90 degrees. This means that at the point where segment XZ and segment WY meet have an angle measure of 90 degrees.
This means they are perpendicular segments.
Therefore, the true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.
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Jen Butler has been pricing Speed-Pass train fares for a group trip to New York.
Three adults and four children must pay $116
Two adults and three children must pay $82
Find the price of the adult's ticket and the price of a child's ticket.
The price of the adult's ticket is $20 and the price of a child's ticket is $14.
How to calculate the valuesLet adults = a
Let children = c
The appropriate equation will be:
3a + 4c = 116
2a + 3c = 82
Multiply equation I by 2
Multiply equation ii by 3
6a + 8c = 232
6a + 9c = 246
Subtract
c = 14
Price for children = 14
Since 2a + 3c = 82
2a + 3(14) = 82
2a + 42 = 82
2a = 82 - 42
2a = 40.
a = 40/2
a = 20
Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.
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I need an answer please
Answer:
Angle B equals 139
Step-by-step explanation:
6x -6 = 90 is the simplified equation. Solving the equation would make x = 31. Then, plugging in x would make Angle A 41 and Angle B 139
Car A is rated at 36 mi/gal (miles per gallon) for city driving and 28mi/gal for highway driving. Car B is rated at 29 mi/gal city and 37 mi/gal highway. How many gallons of gas would each vehicle consume for the following amounts of driving?
(a) 300 mi of city driving plus 100 mi of highway driving
(b) 100 mi of city driving plus 300 mi of highway driving
Question content area bottom
Part 1
(a) Car A consumes
enter your response here gallons; Car B consumes
enter your response here gallons.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(b) Car A consumes
enter your response here gallons; Car B consumes
enter your response here gallons.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Car A consumes 11.9 gallons.
Car B consumes 13 gallons
Car A consumes 16.3 gallons
Car B consumes 11.6 gallons
How many gallons would be used?In order to determine the required values, the mathematical operation that would be used is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Gallons that would be consumed when driving 300 mi of city driving plus 100 mi of highway driving:
For Car A = (300 / 36) + (100 / 28) = 11.9 gallons
For Car B: (300 / 29) + (100 / 37) = 13 gallons
Gallons that would be consumed when driving 100 mi of city driving plus 300 mi of highway driving:
For Car A = (100 / 36) + (300 / 28) = 16.3 gallons
For Car B: (100 / 29) + (300 / 37) = 11.6 gallons
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55 mph
BIKE
12 mph
How many more hours can the bus travel than the bike in a 3.5 hour period?
Step-by-step explanation:
3.5(12)=42
3.5(55)=192.5
192.5
-42
150.5 more miles
In Florida, as of Nov 19, 1,020,000 had people tested positive for corona virus. This was a
0.18% increase from the previous day. If that percent increase continued, how many people
would be infected on Dec 19th?
The number of people that would be infected on Dec 19th, based on the daily growth rate of 0.18% is 1,076,542
What is interval in days between Nov. 19th and Dec.19th?
The interval between November 19th and December 19th is a period of 30 days, since there are 11 more days in November and 19days in December, in essence, using the future value formula, we can compute the number of people tested positive for corona virus on 19th December as shown below:
FV=PV*(1+g)^N
FV=number of people tested positive for corona virus on 19th Dec.=unknown
PV=number of people tested positive for corona virus on Nov. 19th=1,020,000
g=growth rate=0.18%
N=number of days between 19th Nov. and Dec.
FV=1,020,000*(1+0.18%)^30
FV= 1,076,542
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What are the degree and leading coefficient of the polynomial? 18u - 8u^2 -9 + u^7
The leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.
According to the given question.
We have a polynomial 18u - 8u^2 -9 + u^7.
As we know that the leading coefficient of a polynomial is the coefficient of the leading term.
And the highest and the greatest power of a variable in a polynomial equation is called degree of a polynomial.
Here, the leading term of the given polynomial is u^7. Therefore, the leading coefficient of a polynomial is 1.
And the degree of the polynomial is 7.
Hence, the leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3,18/5, 108/25...
Find the 10th term
Answer:
15.479
Step-by-step explanation:
This is a geometric series with common ratio of 6/5
Any term is 6/5 times the previous term
The general formula for the nth term of a geometric series given the common ration r and the first term a₁ is
[tex]a_n = a_1\cdot r^{n-1}[/tex]
Here r = 6/5 and n = 10
So the 10th term is
[tex]a_{10} = 3\cdot(\dfrac{6}{5})^9[/tex]
= 3 x (6⁹/5⁹) = 3 x (10077696/1953125) = 30233088/1953125 = 15.479
Zoey needs to order some new supplies for the restaurant where she works. The restaurant needs at least 711 glasses. There are currently 281 glasses. If each set on sale contains 10 glasses, use the drop-down menu below to write an inequality representing
s
s, the number of sets of glasses Zoey should buy
The inequality that represents the number of sets of glasses Zoey should buy is s ≥ 43
What is the inequality?The first step is to determine the number of glasses needed.
The number of glasses needed = 711 - 281 = 430
The second step is to determine the number of sets Zoey needs to buy.
Number of sets needed = 430 / 10 = 43 sets
The third step is to determine the appropriate inequality sign to use
Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe ≥ (greater than or equal to ) would be used since the number of sets can either be equal to or greater.
s ≥ 43
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QUESTION 8 Nigel received a student loan for $9467. If his tuition was $4997.94, textbook costs $854.84, student fees $702.88, and school supplies $80.41, how much did Nigel have left after paying all his school related expenses? Round your answer to the nearest cent. 3 poin
At the movie theatre, child admission is $5.90 and adult admission is $9.00. On Saturday, 137 tickets were sold for a total sales of $1003.60. How many adult tickets were sold that day?
The number of adult tickets, that were sold that day at the movie theatre was 62
What are simultaneous equations?
Simultaneous equations are two or more equations that must be solved concurrently in order to derive the values of the unknown, the total sales, as well as the total number of tickets sold, can be modeled into equations as below:
let x be the number of adult tickets
let y be the number of children's tickets
9x+5.90y=1000.60....... equation 1
x+y=137.................. equation 2
solve for y in equation 2
y=137-x
substitute for y in equation 1
9x+5.90(137-x)=1000.60
9x+808.30-5.90x=1000.60
9x-5.90x=1000.60-808.30
3.10x=192.30
x=192.30/3.10
x=adult tickets=62
children tickets=137-62
children tickets=75
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Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a popcorn?
Answer: a popcorn is $9
Step-by-step explanation:
soda is $6
Find the difference. 5 1/9 - 3 4/9
A.
B.
C.
D.
Answer: 1 6/9, or 1 2/3
Step-by-step explanation:
Regroup the 5 and 1/9 to get 4 10/9. Subtract the 3 4/9 from the 4 10/9, getting 1 6/9. Simplified, this is 1 2/3. Hope this helps!
Pe un stadion se găsește un grup de sportiv cuprins între 50 și 100 care se pot grupa în coloane de câte 12 18:24 tarif fiecare dată rămân șase sportiv care nu pot forma o coloană completă care este numărul minim de sportiv? Va rog sa ma ajutati repede!!!!
A recipe calls for ½ cup of
flour. Kenneth has 3 and 1/4
cups of flour. How many
batches of the recipe can
he make?
Answer:
6
Step-by-step explanation:
In 3 cups you have 6 half cups with the remainder being 1/4 of a cup.
Answer:
If we're talking whole batches then I'm pretty sure you can make six batches
How do you solve this??
Answer: 0.100
Step-by-step explanation: In the table, it shows that the number of people who have a Bachelor's Degree AND are aged 50 or over is 1958. The total amount of residents in the town are 19623. 1958/19623 gives us the probability. In decimal, the answer is 0.09978086938, which rounds to 0.100