Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.
We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:
15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour
We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:
15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour
To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:
First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons
Second hour: 15 gallons/hour * 1 hour = 15 gallons
Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons
Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours
7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons
So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.
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Make x the subject of the formula 2y - 3x = 6
Answer:
3x-2y= -6
Step-by-step explanation:
change the sign on both lines in the equation
-3x-2y= 6
3x - 2y = - 6
Kenney High School’s swimming pool is 25 yards long. The pool has 8 lanes, each of which is 3 yards wide. The pool is filled to a depth of 6 feet.
a. What are the length and width of the pool in terms of feet? (4 points)
b. How many cubic feet of water are in the pool? (3 points)
c. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points)
Answer:
Length = 75 ft
Width = 72 ft
Question b = 32,400
Water is 242,998 gallons
Step-by-step explanation:
what is k if 1 1/3k=1/3
Answer: k = 11
Step-by-step explanation:
[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]
Cross multiply:
[tex]11 * 3 = 1*3k[/tex]
[tex]33 = 3k[/tex]
[tex]k = 11[/tex]
Is the y-intercept 0 or 1?
Coordinate (0,1) of y-intercept implies that a line or curve cross the Y axis
at 1.
What is y-intercept?
The location of a point on the cartesian coordinate plane where a straight line or curve line as well as a plane crosses the Y axis is called Y-intercept. The coordinate of y-intercept is expressed as (0, y). This y value is y-intercept. The X coordinate of y intercept is zero.
In case of an equation of line while writing in slope-intercept form it is denoted by b such as y = mx+ b
in the above equation, b is y-intercept and m is the slope.
What means y-intercept (0, 1)?The y -intercept given by coordinate (0, 1) defines that a straight-line or curve line cross the Y axis at 1. The x coordinate of y -intercept is always zero because over the Y axis there is no value of X.
The y-intercept can have negative or positive value.
Suppose we have an equation of line 4x + 8y + 10 = 0
we will write it in a slope-intercept form
8y = -4x - 10
y = - 4x/8 - 10/8
y = -1/2x - 5/4
In the above equation - 5/4 or -1.25 is the y-intercept that means the line crosses the Y-axis at -1.25
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Aaliyah and her friends had a movie marathon. They started watching movies at 1:29 P.M. The movie marathon ended at 9:04 P.M. How long did the movie marathon last?
Answer:
7 hours 35 minutes
Step-by-step explanation:
You want to know the length of the time period between 1:29 pm and 9:04 pm.
HoursRemembering that an hour is 60 minutes, we can rewrite the ending time before we subtract the beginning time.
9:04 -1:29
= 8:64 -1:29 = (8-1):(64-29) = 7:35
The movie marathon lasted 7 hours 35 minutes.
FINAL QUESTION WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! PLEASE SHOW WORK!!
Answer:
(-1,-6)
Step-by-step explanation:
Which values of h make the relation {(-2,3), (4,7), (9, h)} a function?
Answer:
h can be any value.
Step-by-step explanation:
As long as each input as exactly one output, the value of h does not matter.
ALGEBRA 2 - Exponential and Logarithmic Functions
Simone’s parents invested $1,500 in an account such that the value of the investment doubles every seven years. The value of the investment, V, is determined by the equation V= p · t^r/7, where p represents the amount invested and t represents the number of years since the money was deposited. How many years, to the nearest tenth of a year, will it take the value of the investment to reach $1,000,000?
It will take approximately 4687.9 years for an investment principal of $1500 to reach $1000000 at an interest rate of 14.2% per year
What is Simple InterestSimple interest is a type of interest calculated only on the principal amount of a loan or deposit, without taking into account the compound interest earned on that principal. It is calculated by multiplying the principal amount, the interest rate and the time period.
The formula of simple interest is given as;
A = P(1 + rt)
where;
A = Simple InterestP = principalr = ratet = time period.In this problem, we have to find the rate first.
The investment doubles after 7 years.
A = p(1 + rt)
2 = 1(1 + r * 7)
2 = (1 + 7r)
2 = 1 + 7r
7r = 2 - 1
7r = 1
r = 1 / 7
r = 0.142
r = 14.2%
The rate is 14.2 %
Now, we can proceed to determine how many years it will take to reach a value of 1000000
Using simple interest formula again;
A = P(1 + rt)
100000 = 1500(1 + 0.142 * t)
1000000 = 1500(1 + 0.142t)
t = 4687.8 years
It will take approximately 4687.8 years
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(3x+2)(2x-7) answer?
the perimeter of the trapezoid is 18x +18 find the missing length of the lower base
PLEASE HURRY
Answer:
Step-by-step explanation:
8x+18=2x+x+4x-3
8x+18=7x-3
perimeter = x+21
Can I join Wikipedia?
Yes , you can join Wikipedia as a creator who can help maintain the platform and update the content from time to time. There are also different types of job roles which you can find for Wikipedia .
You can also simply just create an account and start contributing as a member of Wikipedia.
For this the first step would be to select an appropriate username, which will be unique , as this will be used to identify and differentiate you from others. Then you can start contributing to Wikipedia and other Wikimedia projects.
Communicate with other editors via your own talk page. You can also opt in to exchanging emails with other users and thus increase your community.
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please help me find the surface area of this triangular prism
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
How do you find the area of a prism?The surface area of a triangular prism is defined as the sum of the area of its five faces. To calculate the surface area, we need the values of the base, length, and height of the triangular prism. Its formula equals the sum of two times the base area and three times the product of the base and length of the prism.Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for area of the base of the prism, p stands for the perimeter of the base, and h stands for the height of the prism.Two triangles' area: 18×24÷6x3 = 432cm^2
The widest rectangle's area: 30×7 = 210cm^2
The rectangle facing the left's area: 18×7= 126cm^2
The rectangle facing the ground's area: 24×7= 168cm^2
Total Surface Area: 432+210+126+168 = 936cm^2
=936cm^2
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Robot Navigation Self-navigating robots are very useful in the real world. Reducing the risk of human error by having a computer do tasks can increase the safety of transportation: Airplanes have systems that automate takeoffs and landings. Some cars can parallel park themselves. Cargo ships have autopilots. Mazes offer a challenge that can be directly translated to these situations. In this task, you are developing navigation software for a company that makes robotic systems that can direct themselves. As a first-level test of the robot you are developing, you will have it navigate a maze. North West East South B:The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d? C;While navigating the maze, the robot will need to be able to turn left and right. The first turn the robot will make is a left turn. What will the value of d be after the first turn?
The first left turn, the value of d will be -1i, indicating that the robot is now facing north.
What is value?Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.
The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.
The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.
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Jason practiced making soccer goals and kept track of the results. he missed 3 goals but made 9 in one practice session. what can jason predict regarding goals made if his next practice session has 24 tries? jason will make 8 goals. jason will make 16 goals. jason will make 18 goals. jason will make 21 goals.
If Jason missed 3 goals and made 9 goals in one practice session the prediction we can make if the number of tries is 24 , then (c) Jason will make 18 goals .
Jason is practicing for making soccer goals and keeping a track of the results ;
the number of goals missed by Jason is = 3 goals ;
the number of goals that Jason made is = 9 goals ;
So , the total number of goals is = 12 goals ;
the ratio of making a goal to the total goals is = [tex]\frac{9}{12}[/tex] ;
So , the number of goals that Jason will make in 24 tries can be calculated as = [tex]\frac{9}{12} \times 24[/tex]
= [tex]9 \times 2[/tex]
= 18 .
Therefore , the Jason will make 18 goals in 24 tries .
The given question is incomplete , the complete question is
Jason practiced making soccer goals and kept track of the results. he missed 3 goals but made 9 in one practice session. What can Jason predict regarding goals made if his next practice session has 24 tries?
(a) Jason will make 8 goals.
(b) Jason will make 16 goals.
(c) Jason will make 18 goals.
(d) Jason will make 21 goals.
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how to graph a parent function and describe the transformations it obtains?
The graph of the function f(x) = -2|x-3|+1 is attached below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
f(x) = -2|x-3|+1
First |x-3| shows there is horizontal shift by 3 units.
Now, '+1' shows there is Vertical shift by 1 unit.
and, 2|x-3| shows there is Vertical stretch and the negative sign shows reflection over x- axis.
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In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.
Answer:
a = 2 radical 19
Step-by-step explanation:
a^2 + 18^2 = 20^2
a^2 + 324 = 400
subtract 324 from both sides
a^2 = 76
square root both sides
a = radical 76
simplify radical to get 2 radical 19
Look at the drawing below.
(2x +10)
46
Which equation can be used to determine the value of x?
2x + 10 = 46
2x + 10 + 46 = 180
2x + 10 + 46 = 90
Not Here
Correct answer gets 15 points.
The minimum hours of daylight occur mid-year with the maximum hours of daylight occuring in December.b.The maximum hours of daylight occur in January. The amount of daylight decreases each month until the minimum is reached in December.c.The minimum hours of daylight occur in December. The amount of daylight decreases each month until the minimum is reached.d.The minimum hours of daylight occur in January and December. The amount of daylight increases each month until it reaches a maximum mid-year.
The minimum hours of daylight occur in January and December is the correct answer . The amount of daylight increases each month until it reaches a maximum mid-year. Therefore, option D is correct.
The reason behind this is the rotation and revolution of Earth around the sun. The more the sun is towards the North Pole the shorter the day will be. On the equator, daylight will last generally for 12 hours as because sunlight falls directly on the equator
Therefore the shortest duration of daylight occurs in the month of December solstice when the North Pole is at its maximum distance from the Sun .
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Graph the line with slope -8 and y-intercept 9.
Answer:
the coordinates will be (0,9) (-8,0) and the equation will be y=(9/8x)+9
Step-by-step explanation:
Im not 100% sure but if im right please mark me as brainliest
Plz quick i will mark brainiest
Answer:
It is exponential.
Step-by-step explanation:
Only linear equations would make a graph look this this.
Answer: C
Step-by-step explanation:
You are playing a game in which you randomly select one square tile and one round tile from the sets shown below. Before you select your tiles, you try to guess which combination you will pick.
20 green square tiles, 9 red square tiles, 16 pink square tiles, 10 yellow square tiles, 5 blue square tiles.Circle tiles: 5 purple, 6 orange, 10 blue, 1 white, 2 yellow, 4 red, 5 black, 3 green.
Of the four possible guesses listed below, which one will give you the greatest chance of success?
a.
green square tile and red round tile
b.
pink square tile and orange or yellow round tile
c.
red or blue square tile and black or green round tile
d.
blue square tile and blue or purple or white round tile
Answer:
b
Step-by-step explanation:
From the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.
What is chain rule in probability?In probability theory, the chain rule describes how to calculate the probability of the intersection of, not necessarily independent, events or the joint distribution of random variables respectively, using conditional probabilities.
For two events A and B, by chain rule, we have:
P(A∩B) = P(B) P(A|B) = P(A) P(B|A)
Here P(A|B) is probability of occurrence of A given that B already occurred.
here, we have,
Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below.
Before he does so, he tries to guess which tiles he will draw.
Square tiles: 12 blue, 20 yellow, 8 red, 6 green, 4 pink, 5 black, 3 brown, 2 white, total 60.
Round tiles: 9 black, 4 green, 3 yellow, 2 white, 6 blue, 12 red, total 36.
Here, the event of choosing round tile and square tile is independent to each other.
a. black or pink square tile and blue or green round tile
The chance of black or pink square tile and blue or green round tile is,
P_1 = 0.65
b. yellow square tile and yellow round tile
The chance of yellow square tile and yellow round tile is,
P_2 = 0.42
c. green, brown, or white square tile and black or white round tile
The chance of green, brown, or white square tile and black or white round tile is,
P_3 = 0.49
d. red square tile and red or white round tile
The chance of red square tile and red or white round tile is,
P_4 = 0.52
Thus, from the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.
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Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A).5 B).6 C).7 D).8
4×4=16
3×3=9
16+9=25
[tex] \sqrt{25} [/tex]
=5
ans =5
Reduce 22/154
to its lowest form.
22/154=11/77=1/7
1/7 is the lowest form
the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³
[tex] \longmapsto \: 7x + 5x + 2x = 35820 \\ \\ x = \frac{35840}{14} = 2560[/tex] length equals to 7 into 2560 = 1792
GH is dilated by a scale factor of to form G'H'. GH measures 36. What is the
measure of G'H'?
Answer:
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
help me plz 15 points
Answer:
34625
Step-by-step explanation:
Graph the line with slope of 3/4 passing through the point (-1, 2)
Answer:
Step-by-step explanation:
On a cruise ship, 400 passengers are adults and 350 are children. What percent of passengers are adults?
Step-by-step explanation:
percentage of adults= number of adults over total number of persons times 100;
400/400+350*100
400/750*100
40/75*100
8/15*100
8/3*20
160/3
=53.3%
Angle J and Angle M are base angles of isosceles trapezoid JKLM. If angle j= 23x+5, and angle m = 13x+15 , find measure k .
The angle K for the Isosceles trapezoid is a supplementary angle to the angle J and the measure of angle K = 152°
What is an Isosceles trapezoidThis is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.
angle J and angle M are base angles for the Isosceles trapezoid and are equal, so:
23x + 5 = 13x + 15
23x - 13x = 15 - 5 {collect like terms}
10x = 10 {divide through by 10}
x = 1
angle J = 23(1) + 5 = 28°
Angle K and angle J are supplementary so:
K = 180 - 28
K = 152°
Therefore, the measure of the angle K for the Isosceles trapezoid JKLM is equal to 152°
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Plz help!!! will give 20 points
Which of the following values are possible probabilities an event will happen?
a. -2
b. 3/2
c. 1/2
d. 3
Answer:
I think the answer would be 1/2
Answer:
1/2
Step-by-step explanation:
-2 and 3 are out of the equation because they do not represent chance, 3/2 is out of the equation because the question says it has to be a possibility and 3/2 means it WILL happen, but 1/2 is a possibility that it could and could not happen. Hope I helped!