The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled.
The correct statement describes how the slope relates to the height of the water in the pool is,
The height of the water increases by 2 inches per minute.
Given that,
The slope of the line through the points is 2.
And, the slope relates to the height of the water in the pool.
Here, a table for the height of the water in a pool is shown.
Since the slope of the line through the points is 2.
Hence, It means that,
if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased,
4/2 = 2 inches.
So, the correct statement is,
The height of the water increases by 2 inches per minute.
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A rectangle has a perimeter of 112 centimeters. if the length of the rectangle is 3 times its width, find the dimensions of the rectangle.
What is m∠M ?
Enter your answer in the box.
Answer: We can find the measurement of the angle M using that the sum of the interior angles in any triangle is equal to 180°, then:
m<M=98°
Solution:
m<M=(3x-16)°
To find m<M we need "x".
m<N=x°
m<O=(x+6)°
The sum of the interior angles of any triangle is equal to 180°:
m<M + m<N + m<O = 180°
Replacing the angles:
(3x-16)° + x° + (x+6)° = 180°
We have one equation with one variable "x", then we can solve for x. Adding the terms:
(3x-16+x+x+6)°=180°
3x-16+x+x+6=180
Adding similar terms:
5x-10=180
Adding 10 both sides of the equation:
5x-10+10=180+10
5x=190
Dividing both sides of the equation by 5:
5x/5=190/5
x=38
Then:
m<M=(3x-16)°
Replacing x by 38 in the formula above:
m<M=(3(38)-16)°
m<M=(114-16)°
m<M=98°
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Which of the following shows the correct order of the numbers below? (1/2) 2 , , 0.45
TRUE OR FALSE: The number 532 has 2 significant digits.
Select one:
True
False
Find the complex conjugate of the given number -1+4i
How many solutions are possible for the equation 5(x-3)=7x-2(x+1)
What is the slope of the line that passes through points (5,0) and (10, 0)? How do you know?
Y is between points J and A. JA=17 and YA=3.
What is JY?
Enter your answer in the box.
JY =
we know that
[tex]JA=JY+YA[/tex]
solve for JY
[tex]JY=JA-YA[/tex]
in this problem we have
[tex]JA=17\ units\\YA=3\ units\\JY=?[/tex]
substitute the values in the formula above
[tex]JY=17-3[/tex]
[tex]JY=14\ units[/tex]
therefore
the answer is
[tex]JY=14\ units[/tex]
Answer:
JY = 14
Step-by-step explanation:
Given : Y is between points J and A.
and JA = 17 and YA = 3.
We have to find the length of JY.
Since, Y is between points J and A.
So, JA = JY + YA
Substitute, JA = 17 and YA = 3.
We have,
17 = JY + 3
Solve for JY, we have,
JY = 17 - 3 = 14
Thus, JY = 14
You roll a six sided dice four times, what is the probability of rolling four sixes?
Ten times the sum of half a number x and 4 is 7?
In angle abc , m angle A =x , m angle B =2x+2, m angle C = 3x+4.what is value x
The expression -50 + 100 represents the balance in dollars of a bank account after X months what is the rate of change in dollars per month of the bank account balance
Yup the answer is -50 give the other person brainly they deserve it
John runs every day. The number of miles that he runs varies per day. Write a variable expression to show John's total miles for three days."
Please help:
[tex]5^{x-1} + 5 [/tex] x [tex]0.2^{x-2} = 26[/tex]
When I tried it, I got up until canceling the 5s and getting x - 1 - x - 2 = 21
What did I do wrong?
Which expression illustrates the associative property of addition?
A. (3 + 19) – 12 = (3 + 12) – 19
B. 3 + (19 – 12) = 3 + (19 + 12) (Not B)
C. (3 + 19) – 12 = 3 + (19 – 12)
D. 3 + (19 –12) = 3 – (19 + 12)
Answer:
C.(3+19)-12=3+(19-12)
Step-by-step explanation:
We have to find an expression which illustrate the associative property.
We know that associative property of addition of three numbers a, b and c
[tex]a+(b+c)=(a+b)+c[/tex]
A.(3+19)-12=(3+12)-19
(3+19)-12=10
(3+12)-19=-4
It is not associative property of addition because both sides are not equal.
B.3+(19-12)=3+(19+12)
3+(19-12)=10
3+(19+12)=34
It is false because both sides are not equal .
C.(3+19)-12=3+(19-12)
(3+19)-12=10
3+(19-12)=10
It is illustrate the associative property of addition.
D.3+(19-12)=3-(19+12)
3+(19-12)=10
3-(19+12)=-28
Both sides are not equal . Hence , it is false.
If the area of the outer square is 4x2, then the area of the inner square is
Final answer:
The area of the inner square is x squared. This is determined by the rule that the ratio of areas of similar figures is the square of the scale factor, with the larger square having dimensions and area four times that of the smaller square.
Explanation:
Considering a larger square with an area of 4x², and given that the dimensions of this square are twice that of a smaller square, we can derive the area of the smaller square by understanding the relationships between the scale factor and the area of similar figures. If Marta's original square has a side length of 4 inches, doubling the dimensions gives a side length of 8 inches for the larger square.
The scale factor for the sides is 2, but when considering area, the scale factor is squared. Consequently, the area of the larger square, which is 8 inches by 8 inches, will be 64 square inches. This area is four times larger than the area of the smaller square, which is 16 square inches (4 inches x 4 inches). Thus, the rule that the ratio of areas of similar figures is the square of the scale factor applies. The area of the inner square would be equivalent to the area of the outer square divided by 4, which in our case, with an outer square area of 4x², leads to an inner square area of x².
Find the value of x that makes lines u and v parallel
Miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 bars. they are sold in packs of 12. how many more boxes of granola bars does she need to purchase for her students?
square root of 4x squared times square root of 20x squared
You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?
there are 5 letters used for the code.
The probability of A being first the number of A’s which can be picked (1) over the total number of letters that can be picked (5).
The probability of A being first is 1/5
1/5 = 0.2
Answer:
Correct answer for plato
Step-by-step explanation:
C. 0.20
Lori makes $64,000 each year as an accountant. At Christmas she was given a 12% bonus. What was Lori's total income for the year?
12% = 0.12
64000 x 0.12 = 7680
64000 + 7680 = $71,680
A total of 252 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
The number of adult ticket sold are 28.
What is a ticket ?"a piece of paper or card that shows you have paid for a journey, or that allows you to enter a theatre, cinema, etc."
Let, the number of student ticket be x
Let, the number of adult ticket be y
So, [tex]x = 2y[/tex]
And Given,
Total number of tickets are 252
So, [tex]x+y = 252[/tex]
[tex]2y + y = 252\\3y = 252 \\y = 28[/tex]
Hence, the adult tickets sold are 28.
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The difference of the squares of twenty and thirteen.
put in numerical form
The difference between the squares of twenty and thirteen will be 234.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Square of twenty = 20²
20² = 20 × 20 = 400
Square of thirteen = 13²
13² = 13 × 13 = 169
Difference ⇒ 400 - 169 = 231.
Hence "The difference between the squares of twenty and thirteen will be 234".
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The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5.
It says simplify so it is written in the form b = log a.
Amount of energy released during Earthquake is [tex]5.23*10^{6} kilowatt[/tex]
The Richter scale is used to measure the magnitude of a earthquake. The magnitude R is,
[tex]R=0.65log(0.39E)+1.45[/tex] E is the energy (measured in kilowatt-hours) released by the earthquake.
Given that, R = 7.5
Substituting the value of R into above equation.
[tex]7.5=0.65log(0.39E)+1.45\\\\7.5-1.45=0.65log(0.39E)\\\\6.05=0.65log(0.39E)\\\\9.31=log(0.39E)\\\\0.39E=10^{9.31}\\\\E=\frac{10^{9.31} }{0.39} \\\\E=5235225499watt\\\\E=5.23*10^{6} kilowatt[/tex]
Thus, Amount of energy released is [tex]5.23*10^{6} kilowatt[/tex]
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please Sara recorded the height of the ocean at low tide, with respect to sea level, for four days. Time Low Tide (inches) Monday a.m. −4 Monday p.m. −6 Tuesday a.m. −3 Tuesday p.m. −1 Wednesday a.m. 0 Wednesday p.m. 2 Thursday a.m. −1 Thursday p.m. −3 What is the average height of the ocean at low tide with respect to sea level? Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
The averge of low tide is of -2 inches
1. Lisa is working with the system of equations x + 2y = 7 and 2x ‒ 5y = 5. She multiplies the first equation by 2 and then subtracts the second equation to find 9y = 9, telling her that y = 1. Lisa then finds that x = 5. Thinking about this procedure, Lisa wonders:
There are lots of ways I could go about solving this problem. I could add 5 times the first equation and twice the second or I could multiply the first equation by ‒2 and add the second. I seem to find that there is only one solution to the two equations but I wonder if I will get the same solution if I use a different method?
What is the answer to Lisa’s question? Explain.
2. Does the answer to the first question change if we have a system of two equations in two unknowns with no solutions? What if there are infinitely many solutions?
Answer:
1. Yes
2. Yes
Step-by-step explanation:
1. Lets test Lisa's different solution. Lets times 5 to the first equation:
[tex]5\cdot{x}+10\cdot{y}=35[/tex]
and 2 times the second equation:
[tex]4\cdot{x}-10\cdot{y}=10[/tex]
lets add the two equations:
[tex]9\cdot{x}=45[/tex]
[tex]x=5[/tex]
The second method is multiplying the first equation by -2:
[tex]-2\cdot{x}-4\cdot{y}=-14[/tex]
and add the second equation:
[tex]-9\cdot{y}=-9[/tex]
[tex]y=1[tex]
Substitute into equation 1:
[tex]x+2\cdot{1}=7[/tex]
[tex]x=5[/tex]
The answer to Lisa's question is yes she wull get the same solution if she uses a different method.
2. Yes, The answer would change if the same amout of x and y values are the same and therefore we cannot solve for x and y. If there was infinitely many solutions we would have quadratic equations.
A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip bck took 14 hours. Find the speed of the boat in still water and the speed of the current.
Enter the solution to the inequality in the box.
8+4(x−3)+3x≤24
Answer: The required solution is [tex]x\leq4.[/tex]
Step-by-step explanation: We are given to solve the following inequality :
[tex]8+4(x-3)+3x\leq24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given inequality, we must find the value of the unknown variable x.
From inequality (i), we have
[tex]8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq\dfrac{28}{7}\\\\\Rightarrow x\leq4.[/tex]
Thus, the required solution is [tex]x\leq4.[/tex]