The total time required to fill the pool completely as per the inlet and drain pipe capacity is given by 146.25 hours.
Let's assume that the capacity of the pool is 1 unit .
The inlet pipe can fill the pool at a rate of 1/26 units per hour.
The drain pipe can empty it at a rate of 1/30 units per hour.
When both pipes are open,
The net rate of filling is the difference between the rate of filling and the rate of emptying,
Net rate = Rate of filling - Rate of emptying
⇒Net rate = 1/26 - 1/30
⇒Net rate = (30 -26 )/780
⇒Net rate = (4)/780
⇒Net rate = 1/195 units per hour
Since the pool is already 25% filled.
This implies,
It still needs to be filled by another 0.75 units.
The time required to fill the pool by 0.75 units at a net rate of 1/195 units per hour can be found using the formula,
Time = Amount of filling needed / Net rate
⇒Time = 0.75 / (1/195)
⇒Time = 146.25 hours
Therefore, the total time taken to fill the pool completely would take another 146.25 hours.
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What is a 3 variable equation called?
Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.
what is linear equation ?A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.
(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.
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Find the slope of the line that passes through the points (0,-5) and (-2,-3).
Answer:
the slope is -1
Step-by-step explanation:
formula for slope is (y2-y1)/(x2-x1)
lets say (-2,-3) is (x2,y2)
-3-(-5)=2
-2-0=-2
2/-2=-1
When lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2 seconds. if lauren were to run 42 practice trials of the 400 meter dash, how many of those trials would be between 83 and 84 seconds, to the nearest whole number?
If Lauren were to run 42 practice trials of the 400 meter dash, the number of those trials would be between 83 and 84 seconds is 1 approximately.
Given that the event is normally distributed.
The mean of the population is = µ = 88 seconds
The standard deviation of the population is = σ = 2 seconds
When the time to finish is 83 seconds then z score will be
x = 83, so
z = (x - µ)/σ = (83 - 88)/2 = -5/2 = -2.5
When the time to finish is 84 seconds then the z score will be
x = 84
z = (x - µ)/σ = (84 - 88)/2 = -4/2 = -2
So the probability that trial would be between 83 and 84 is given by
= P(83 ≤ x ≤ 84)
= P(-2.5 ≤ z ≤ -2)
= P (-2) - P (-2.5)
= 0.42074 - 0.40129
= 0.01945
So the 42 such events the possible number of events would be between 83 and 84 seconds is = 42*0.01945 = 0.8169 = 1 (rounding off to nearest whole number).
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$9,400 x 8% commission rate
the commission rate is 752.
Free brainliest!!!
x⁻³/x⁻⁴ =
A.) 1/x
B.) x
C.) x⁷
Answer:
c i think
Step-by-step explanation:
Answer:
C.) x7 ;)
Step-by-step explanation:
:))))))))))))))
assigning oxidation numbers , please help!!
Answer:
c is 1
o is q
h is 2
in ch3
c is 2 h is 3
and finally o is 1
Pls help, for 10 points!
Answer:
I think 9 but dont quote me on it
Answer:
2
Step-by-step explanation:
in khan academy i put 9 because thats what the last person said here but it was wrong and the correct answer was 2 so its 2 for sure.
Solve the equation. Then check your solution. 11 minus 19 m = negative 16 m minus 16 a. 9 c. –9 b. StartFraction 27 Over 35 EndFraction d. 1 and two-thirds
The solution of 11 - 19m = - 16m - 16 is m equals 9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given statement 11 minus 19 m = negative 16 m minus 16 can be numerically expressed as,
11 - 19m = - 16m - 16.
- 19m + 16m = - 11 - 16.
- 3m = - 27.
3m = 27.
m = 27/3.
m = 9.
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sin^2(x)=1/2-1/2cos2x
The equation sin^2(x) = 1/2 - 1/2cos(2x) is an identity that holds true for all values of x. It can be used to simplify expressions involving sine and cosine functions.
The equation sin^2(x) = 1/2 - 1/2cos(2x) is a trigonometric identity, which means it holds true for all values of x. To understand why this identity is true, we can use the double angle formula for cosine, which states that cos(2x) = cos^2(x) - sin^2(x). Rearranging this formula gives sin^2(x) = cos^2(x) - cos(2x).
Now, we can substitute the identity cos^2(x) + sin^2(x) = 1 into the above equation, which gives sin^2(x) = 1 - cos^2(x) - cos(2x). Rearranging further gives sin^2(x) = 1/2 - 1/2cos(2x), which is the desired identity.
This identity can be useful in simplifying expressions involving sine and cosine functions. For example, if we have an expression with both sin(x) and cos(x), we can use this identity to express everything in terms of sin(x) or cos(x) only.
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what is 1+12x-40 evaluated
Answer:
12x-39
Step-by-step explanation:
40-1=39
I really need help with how to do this . It’s a little bit confusing . Thank you
Answer:
just fix the cilcle more it have it looing for the answer
Step-by-step explanation:
that all i got i wish i can help u more
can someone help pls
Answer:
23.2
12
..........................................
What is the factored form of 4x^3-24x^2-28x
Answer:
4(x-1)(x)(x-7)
Step-by-step explanation:
4x³-24x²-28x
=4(x+1)(x)(x-7)
liana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.
f(x) = 2(2)2 – 3(2) + 7
= 2(4) – 3(2) + 7
What is the value of the function when x = 2?
9
10
16
17
The value of the function when x = 2 is 9
How to determine the value of the function?The given parameters are
f(x) = 2x^2 - 3x + 7
When x = 2, we have;
f(2) = 2(2)^2 - 3(2) + 7
Evaluate
f(2) = 9
Hence, the value of the function when x = 2 is 9
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ASAP i need help with this. I will give you brainlist
Part A
Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.
Talent show ticket prices
Student Price $3
Adult Price $5
What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.
Part B
For this part define s and a as follows:
S= number of students tickets purchased
A= number of adult tickets purchased
The total of all tickets sold was $625.00. Write an equation in items like of s and a to represent this information
Part C for this part define a and a as follows:
S= number of adult tickets purchased
A=number of adults tickets purchased
The total number of students and adults who bought tickets is 165. Write an equation in terms of a and a to represent this information.
Part D
Using the information in parts (b) and (c), determine the following:
The number of students who bought tickets
The number of adults who bought tickets
Show or explain how you got each of your answers.
8(4x-4)=-5x-32
............................
Answer:
what is the question
Step-by-step explanation:
.......
Answer:
x=0
Step-by-step explanation:
8(4x-4)=-5x-32
32x-32=-5x-32
37x=0
x=0
The mean plus the standard deviation is:
Answer: variable is distributed normally, then approximately two-thirds of the population will within plus or minus one standard deviation of the mean
Step-by-step explanation:
The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.
Let {E} be a sequence of measurable sets with k=1 Σm(Ek) <00 i=1 [infinity] Define E = lim sup Ek := NU Ek. Show that m(E) = = n=1 k>n
The given problem involves the lim sup (limit superior) of a sequence of measurable sets {Ek}. We define E as the lim sup Ek, denoted as NU Ek. The goal is to show that the measure of E, denoted as m(E), is equal to the sum of the measures of the complements of the sets Ek with respect to the sets Ek for all n.
To prove this, we start by observing that the lim sup Ek is the set of points that belong to infinitely many Ek sets. By definition, E contains all points that are in the intersection of infinitely many sets Ek. In other words, E contains all points that satisfy the property that for every positive integer n, there exists a k>n such that x belongs to Ek.
To establish the equality m(E) = Σ (m(Ek)') for all n, we use the fact that the measure of a set is additive. For each n, we consider the complement of Ek with respect to Ek, denoted as (Ek)'. By the properties of lim sup, (Ek)' contains all points that do not belong to Ek for infinitely many k>n. Therefore, the union of (Ek)' for all n contains all points that do not belong to Ek for any k, i.e., the complement of E.
Since the measure of a countable union of sets is equal to the sum of their measures, we have m(E) = m(Σ (Ek)') = Σ m((Ek)') = Σ (m(Ek)'). This completes the proof that m(E) = Σ (m(Ek)') for all n.
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to be classified as rain, water droplets that fall from a cloud must be of what minimum diameter?
To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters.
To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters (0.02 inches).
In geometry, the diameter of a circle is the part of a straight line that goes through the center and ends in the circle. It can also be defined as the longest chord of a circle. These two concepts also apply to the diameter of a sphere.
In modern usage, the length d of a diameter is also called a diameter. In this sense, we speak of diameter rather than diameter (referring to the line segment itself), because all diameters of a circle or sphere have the same length, which is twice the radius r.
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if the expression above is written in the form a bi, where a and b are real numbers, what is the value of b?
The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.
To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.
(3 + 4i)² = (3 + 4i)(3 + 4i)
Using the FOIL method, we can multiply the terms:
= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i
= 9 + 12i + 12i + 16i²
Since i² is defined as -1, we can substitute it:
= 9 + 12i + 12i - 16
= -7 + 24i
Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.
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Complete question:
(3+4i)²
if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?
CAN SOMEONE PLEASE HELP FAST THIS IS A GRADE FINALE QUESTION HELP!!
Answer: 4.761 (Not Rounded)
Step-by-step explanation: Divide 25/5.25 and that will give you each card price.
Answer:
1 card = $0.21
25 cards = $5.25
Which grade is best in school?
A (C)
B (A-)
C (A)
D(B+)
I think its B+ because B stands for Best, and the + equals means advanced best I got it wrong, please help.
Answer:
I didn't know kindergardeners had Brainly.
Sofia saw a sign that all calculators were 20% off the regular price. She determined that if she substituted the price of the calculator she wants (c) into the expression c - 0.2c, she could find the sale price of the calculator after the discount.
What is the expression when written in simplest form?
If the sale price of the calculator was $28.00, what was the original price? Justify your solution.
Answer:
YOU ARE THE BEST PERSON EVER DONT LET ANYONE TELL YOU DIFFERENT
Step-by-step explanation:
When conducting a survey about choosing vacation destinations, Megan should __________ in order to get reluctant respondents to provide honest information.
When conducting a survey about choosing vacation destinations, Megan should consider using anonymity, confidentiality, or assurance of privacy in order to get reluctant respondents to provide honest information. This can include ensuring that respondents are not required to provide their names or contact information, or guaranteeing that their responses will not be shared with anyone else without their permission.
Additionally, Megan could assure respondents that their responses will be kept confidential, and that their participation in the survey will not have any negative consequences for them. By taking these steps, Megan can encourage reluctant respondents to feel more comfortable sharing their honest opinions and preferences.
Megan should establish rapport and ensure anonymity in order to get reluctant respondents to provide honest information. By creating a comfortable environment and ensuring the respondents that their information will be kept confidential, Megan can increase their willingness to participate and share honest opinions.
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A poster of area 8640 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. Find the dimensions that maximize the printed area. (Use decimal notation. Give your answers as whole or exact numbers.)
Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.
Let's first find the dimensions of the printable region of the poster.
The total width of the poster is the sum of the printable width and the margins on the left and right sides:
Total width = Printable width + Left margin + Right margin
We know that the left and right margins are each 6 cm wide, so the total width is:
Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm
Similarly, the total height is the sum of the printable height and the margins on the top and bottom:
Total height = Printable height + Top margin + Bottom margin
We know that the top and bottom margins are each 10 cm wide, so the total height is:
Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm
The area of the printable region is:
Printable area = Printable width × Printable height
We want to maximize the printable area, so let's express the printable height in terms of the printable width:
Printable height = Total height - Top margin - Bottom margin
Printable height = (Printable width + 12 cm) - 10 cm - 10 cm
Printable height = Printable width - 8 cm
Substituting into the equation for printable area, we get:
Printable area = Printable width × (Printable width - 8 cm)
Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:
d(Printable area)/d(Printable width) = 2Printable width - 8 cm
2Printable width - 8 cm = 0
Printable width = 4 cm
So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:
Printable height = Printable width - 8 cm
Printable height = 4 cm - 8 cm
Printable height = -4 cm
This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.
Printable width = -b/2a
where a = 1 and b = -8
Printable width = -(-8)/(2×1) = 4
Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:
Printable height = Printable width - 8 cm
Printable height = 4 cm - 8 cm
Printable height = -4 cm
Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:
Printable area = Printable width × Printable height
Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)
Printable area = 4 cm × 2156 cm
Printable area = 8624 cm
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A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated usi X
the origin as the center of dilation.
Which rule could represent this dilation?
A. (x,y) → (0.5 – x,0.5 - y)
B. (x,y) → (x - 7, y - 7)
C. (x,y) - (x, y)
D. (x,y) → (0.9x, 0.9y)
Answer:
D). (x, y) --> (0.9x, 0.9y).
Step-by-step explanation:
You multiply each coordinate to create a dilation . To get a smaller image the cinstant of multiplication is less than 1.
So it is D
below is the spreadsheet model we looked at in this module for measuring exponential growth of an epidemic. predict the number of users of a new social network at a future date assuming similar exponential growth. how many users of the new service would we expect to have in seven and a half months?
The formula used is \($N(t) = N_0 e^{rt}$\). If a new social network has 1000 users currently and at growth rate of 10% per month, it can be predicted that there will be approximately 2452 users in seven and a half months assuming similar exponential growth.
In the formula used in the spreadsheet model for measuring exponential growth i.e. \($N(t) = N_0 e^{rt}$\)
N(t) is the number of cases at time t
N₀ is the initial number of cases
e is the mathematical constant approximately equal to 2.71828
r is the growth rate (expressed as a decimal)
To adapt this formula to predict the number of users of a new social network, we can replace the variables with the appropriate values. For example, if the new social network has 1000 users currently and is growing at a rate of 10% per month, we can write:
N(t) = 1000 x \(e^{rt}$\)
To find the predicted number of users in seven and a half months, we can substitute t = 7.5 into the equation and solve for N(7.5):
N(7.5) = 1000 x \(e^{rt}$\)
N(7.5) ≈ 2452.22
Therefore, we would expect to have approximately 2452 users on the new social network in seven and a half months if it continues to experience similar exponential growth.
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The complete question is :
What is the formula used in the spreadsheet model discussed in this module for measuring exponential growth of an epidemic, and how can it be adapted to predict the number of users of a new social network at a future date assuming similar exponential growth? In particular, if the new social network has 1000 users currently and is growing at a rate of 10% per month, how many users would we expect to have in seven and a half months?
Segments that intersect at 90° angles are called _____
Answer:
Perpendicular segments
Step-by-step explanation:
y-3x=9, 7x+y=25, what is the value of x and y?
Answer:
x = 1.6 , y = 13.8
Step-by-step explanation:
y - 3x = 9 ( add 3x to both sides )
y = 9 + 3x → (1)
7x + y = 25 → (2)
Substitute y = 9 + 3x into (2)
7x + 9 + 3x = 25
10x + 9 = 25 ( subtract 9 from both sides )
10x = 16 ( divide both sides by 10 )
x = 1.6
Substitute x = 1.6 into (1)
y = 9 + 3(1.6) = 9 + 4.8 = 13.8
Which equation does the graph below represent? (See picture)
A. y = 2x
B. y
C. y
D. y = 2 + x
(I think it's A. But I'm not sure)
Answer:
A
y = 2x
your right. it's A.