The slope of the line is 10.
Given:
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
The line begins at the line begins at the origin and passes through the point (2,20).
slope between (0,0) and (2,20).
slope m = y2 - y1 / x2 - x1
= 20 - 0 / 2 - 0
= 20/2
= 10.
Therefore the slope of the line is 10.
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What proportional segment
lengths verify that QS || MN?
Fill the boxes to correctly
complete the proportion.
Answer:
9/1.5 = 12/2
Step-by-step explanation:
If QS || MN, the two triangles are similar, so the ratio between their corresponding side lengths will be equal.
write an equation of the line that passes through the given point with the given slope
(-5,4) ; slope -3
A) y=-3x+19
B) y=-11x-3
C) y=-3x+11
D) y=-3x-11
HURRY!!! Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. Point J is plotted so that is the hypotenuse of the right triangle formed by joining the three points. What are the coordinates of point J? Select all that are possible.
(-3,-8)
(5,-7)
(-3,8)
(-5,7)
(3,8)
(5,7)
(-5,-7)
(3,-8)
To make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.
Thus, to make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).
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Is ( – 5,1) a solution to this system of equations? y=1 y= – 2x–9
The solution (4, 1) is in the solution is in the system
How to determine if the solution is in the system?From the question, we have the following parameters that can be used in our computation:
y = 1
y = -2x - 9
Substitute y = 1 in the equation y = -2x - 9
So, we have the following representations
1 = -2x - 9
Evaluate the like terms
So, we have
-2x = -8
Divide both sides by -2
x = 4
This means that the solution is (4, 1)
Hence. (4, 1) is in the solution is in the system
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What is mean absolute deviation chart?.
The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.
What is mean absolute deviation?The difference (deviations) between each value in the data set and the data set mean are averaged to get the mean absolute deviation. The deviations from a dot plot can be graphically depicted on a number line. The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It gives us a sense of how variable a dataset is.
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Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x)=2 f (x-1)
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equal sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
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The answer will looks kinda like this:
question help u guys what is -3/14 + 5/14
[tex]=\frac{-3+5}{14} \\=\frac{2}{14}[/tex]
This can be simplified to give [tex]\frac{1}{7}[/tex]
The midpoint of \overline{\text{AB}}
AB
is M(7, -5)M(7,−5). If the coordinates of AA are (6, -7)(6,−7), what are the coordinates of BB?
The coordinates of B is (8,-3).
Given:
The midpoint of AB is M(7, -5)
the coordinates of A are (6, -7)
Midpoint = (x1+x2 / 2 , y1+y2 / 2)
(7,-5) = (6+x2 /2 , -7+y2 /2)
7 = 6+x2 / 2
14 = 6 + x2
x2 = 14 -6
x2 = 8
-5 = -7+y2 / 2
-10 = -7 + y2
y2 = -10+7
y2 = -3
Therefore the coordinates of B is (8,-3).
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A football team owner believes that attendance at the home stadium increases when the team
has a winning season. He randomly selects 10 seasons when the team won more games than
they lost and determines that the mean attendance is 88,532 people with a standard deviation
of 1341 people. Ten more seasons are randomly selected from years when the team lost more
games than they won. The mean attendance for the sample of losing seasons is 86,910 people
with a standard deviation of 1521 people. Assume all conditions for conducting a
significance test have been met and that the p-value is 0.011. Which of the following
conclusions should the owner make?
A) The mean attendance at the home stadium is greater when the team is having a winning
season approximately 1.1% of the time.
B) The p-value indicates that the mean attendance at the home stadium is greater when the
team is having a winning season at the 1% level of significance. There is a significant
difference in mean attendance when the team is winning than when the team is losing.
At the 5% significance level, there is evidence that the mean attendance at the home
stadium is greater when the team is having a winning season than when the team is
having a losing season. We would expect to get a test statistic at least as extreme as the
one observed 1.1% of the time if the null hypothesis is true.
D) At the 5% significance level, there is evidence that the mean attendance at the home
stadium is greater when the team is having a winning season than when the team is
having a losing seasen. We would expect to get a test statistic at least as extreme as that
observed 98.9% of the time if the null hypothesis is true.
E Because the p-value is so small, the results show that there is not a significant
difference between the mean attendance during a winning season and the mean
attendance during a losing season.
Answer:
ИДК либо плохо так грустно для вас ха-ха
Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.
Option B is the correct answer.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
The p-value of 0.011 is less than the significance level of 0.05, which means that we reject the null hypothesis that there is no difference in mean attendance between winning and losing seasons.
Therefore, we conclude that there is evidence to support the claim that mean attendance at the home stadium is greater when the team is having a winning season than when the team is having a losing season.
Thus,
Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.
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use the equations for the total cost c and total revenue r to find the number x of units a company must sell to break even. (round to the nearest whole unit.) c=850x+250000 R=9502x
To break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.
Define the term break even point? The break-even threshold is reached when overall costs and total revenues are equal, leaving your small firm with no net benefit or loss. In many other words, you've achieved the point in production where the revenue from a product equals the cost of manufacture.For the given question-
Total cost c: c = 850x + 250000
Total revenue R: R = 9502x
The point during which costs equal revenues is known as the break-even point.
850x + 250000 = 9502x
9502x - 850x = 250000
8652x = 250000
x = 28.29
x = 29
Thus, to break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.
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1. Dave and Sandy Hartranft are frequent flyers with Delta Airlines. They often fly from
Philadelphia to Chicago, a distance of 780 miles. On one particular trip, they fly into the wind,
and the flight takes 3 hours. The return trip, with the wind behind them, only takes 2 hours. If
the wind speed is the same on each trip, write the system of equations that would be used to find
the speed of the wind and speed of the plane in still air. Be sure to label what your variables
represent first. You do not need to solve the system.
x =
y =
Write your system here
1)
2)
For the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Suppose w and s is the windspeed in mile per hour and the speed of the plane respectively.
The plane's speed in miles per hour when flying into the wind
s-w
The aircraft's speed in miles per hour when flying into the wind is,
s+w
When it is flying into the wind,
780=(s-w)×2
When it is flying with the wind,
780=(s+w)×(3/2)
780=2s-2w
1560=3s+3w
Solve the equation we get,
w=65
s=455
Thus, for the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour
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(X^2+6x-27)/3x^2+27/(x+5)
Answer:
x^2 (x^2 + 6x - 27)(x+5) + 81/3(x+5)
Step-by-step explanation:
1) Use this rule: a/b x c = ac/b.
(x^2 + 6x - 27)/3 + 27/x + 5
2) Regroup terms.
x^2 (x^2 + 6x - 27)/3 + 27/x+5
3) Rewrite the expression with a common denominator.
x^2 (x^2 + 6x - 27) (x + 5) 27 x 3/ 3(x + 5)
4) Simplify 27 x 3 to 81.
x^2 (x^2 + 6x - 27)(x+5) + 81/3(x+5)
Thanks
Fouteen le than two fifth of the area of a rectangle i the ame a one eighth the rectangle perimeter. If the area of the rectangle i 100, find the perimeter. Define variable, write an equation, and olve
The perimeter of the rectangle is 208
Given that,
Fourteen less than two fifth of the area of a rectangle is the same as one eighth the rectangle perimeter which can be written into equation as :
2/5a - 14 = 1/8(p) here,
a is area of rectangle
p is perimeter of rectangle
a is l*b and p is l+b
l is length of rectangle
b is breadth of rectangle
now,
2/5(lb) - 14 = 1/8(l+b)
2lb/5 - 14 = l+b/8
(2lb-70)/5 = l+b/8
16lb-560 = 5l+5b
5l+5b-16lb = -560
5l+5b-16(100) = -560
5l+5b-1600 = -560
5l+5b = -560 +1600
5l+5b = 1040
l+b =208
which is nothing but perimeter of rectangle.
Therefore, the perimeter of rectangle is 208 respectively.
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In the high chool band there are 2 percuionit on the ideline to every 13 marching intrument. If the high chool band ha 150 total member, then how many percuionit are on the ideline?
There are 23 percuionit are on the ideline.
Given that in the high school band there are 2 percuionit on the ideline to every 13 marching instrument.
We have to find the percuionit are on the ideline when the high school band has 150 total member.
Firstly, we will find the scale factor by dividing the number of percuionit on the ideline to the every marching instrument.
According to the given question, the scale factor = number of percuionit on the ideline / the every marching instrument
Scale factor=2/13
Now for 150 members number of percussionists is
(2/13)×150=23.07 or 23
Hence, the number of percussionists on the ideline is 23 when the high school band has 150 total member.
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Lines L and M are intersected by transversal t and L // m.
Which of the following angles are supplementary to <7? Select all that apply.
A. <5
B. <7
C. <6
D. <8
The angle that is supplementary to ∠7 is ∠5 and ∠8
What is supplementary angle ?
Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. Since their measures sum up to 180 degrees, the numbers 3 and 4 in the following figure are supplementary.
Two Angles are Supplementary when they add up to 180 degrees.
From given figure,
It is observed that sum of ∠7 and ∠8 is equal to 180 degrees.
The sum of ∠7 and ∠5 is equals to 180 degrees.
∴ ∠7 + ∠8 =180
and ∠7 + ∠5 = 180
Thus , the supplementary angles of ∠ 7 are ∠ 5 and ∠ 8.
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What is the value of x in the equation 0.04x + 0.3 = 0.42
Answer:
Step-by-step explanation:
x=3
0.04x+0.3=0.42
-0.3 -0.3
0.04x=0.12
÷0.04. ÷0.04
x=3
Use point-slope form to write the equation of a line that passes through the point (20,17)(20,17) with slope -4−4.
The equation of a line that passes through the point (20,17) with slope -4 is y = -4x + 97.
Given:
point(20,17) and slope m = -4
we know that:
slope intercept form y = mx + c
substitute m and (20,17)
17 = -4*20 + c
17 = -80 + c
c = 17 + 80
c = 97
y = mx +c
y = -4x + 97
Therefore the equation of a line that passes through the point (20,17) with slope -4 is y = -4x + 97.
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Claire has sold 8 candy bars and sells 5 more each day. ayden has sold 20 candy bars and sells 3 more each day. how many days will it be before claire sells as many candy bars as ayden
Answer:
2
Step-by-step explanation:
8+5=13
Day 1 13+5=18
Day 2 18+5=23
20+3=23
Answer: 7 days
Why it’s 7: just trust me
What is the solution of the equation when solved over the complex numbers? x2+27=0.
The solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]
The equation is
[tex]x^2[/tex] + 27 = 0
The complex number is the combination of a real number and an imaginary number.
Here we have to solve the equation and find the value of x
[tex]x^2[/tex] + 27 = 0
Subtract 27 from the both side of the equation
[tex]x^2[/tex] + 27 - 27= -27
[tex]x^2[/tex] = -27
Take square root on the both side of the equation
x = [tex]\sqrt{-27}[/tex]
We know,
[tex]\sqrt{-1}[/tex] = i
The substitute this value in the equation
Then the value of x = [tex]\sqrt{27}i[/tex]
Hence, the solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]
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amy currently had a balance of 12.56 in her checking account. her bank account required to obtain a minimum balance of 30$, how much money does amy need to deposit to reach the minimum balance
Money that needs to be deposited to reach the minimum balance is $17.44
How to calculate the deposit amount?Current balance of Amy = C= $12.56
Minimum balance amount = M = $30
The amount to be deposited = Minimum balance amount - Current balance amount
= M - C
=$30 - $12.56
= $17.44
The deposit amount required from Amy= $17.44
What is minimum balance?The minimal quantity of money one must maintain in our bank account to avoid paying a monthly fee is known as a minimum balance requirement. One can avoid the charge by keeping the minimum balance. If we fall short of it, we'll have to pay a fee for the month. Online banks sometimes do not have any minimum balance restrictions because one of their advantages is that they have reduced fees. The least amount of money that must be in our account at the end of each day is called a minimal daily balance. The average minimum balance is calculated by dividing the total end-of-day balances by the number of days in the statement cycle.To learn more about minimum balance, refer:
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Page #5
Example
What is the radius of the cone in the diagram? Round your answer to the nearest
whole number.
Enter the given values into the cone volume equation and solve for radius.
V =
1
=
1
πr²h
Dimension 2016 (12)
r_units
Soft
Radius of the given cone is 4 units.
What is radius?
A circle's or a sphere's radius is the length of the line between the centre and the edge.
Main Body:
Volume given=
V=1/3π[tex]r^{2}[/tex]h
201.06= 1/3π[tex]r^{2}[/tex](12)
Taking 201.06 as 200 as approximation is allowed.
Now solving for r ,
(200*3)/12= π[tex]r^{2}[/tex]
[tex]r^{2}[/tex]= 600/(12 π)
[tex]r^{2}[/tex]=15.9
r=4 units
Hence the answer is 4 units.
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I inserted a picture so it can be more clear. This is for Algebra 2, Unit 2
If f(x) = 3x-4 and g(x) = 4-3x then the solution of f(g(x)) = g(f(x)) proves that they are not inverse functions.
According to the question,
We have the following two functions:
f(x) = 3x-4 and g(x) = 4-3x
We know that in order to find whether two functions are inverse of each other or not we need to find the value of f(g(x)) and g(f(x)) and then see whether they are equal to x.
Now, among the given options, the only option representing this kind of solution is option D and the solutions are not equal which proves that they are not inverse functions.
Hence, the correct option is D.
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find the missing length indicated.
Answer:
35 unitsStep-by-step explanation:
Let the missing part be x.
According to triangle proportionality theorem we have:
x/28 = 15/12x = 28*15/12x = 35The missing length will be 35 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown is figure.
Now,
Let the missing length = x
So, By the definition of triangle proportionality theorem, we get;
⇒ x/28 = 15 / 12
Solve for x as;
⇒ x/28 = 15 / 12
⇒ x/28 = 5 / 4
⇒ x = 5 x 28 / 4
⇒ x = 5 x 7
⇒ x = 35
Thus, The missing length will be 35 units.
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Solve the equation. 3 4 (2a − 6) 1 2 = 2 5 (3a 20) a =
To solve the equation: 3/4(2a-6)+1/2=2/5(3a+20), finding the value of a as follows,
We simplify the equation to the form, which is simple to understand
3/4(2a-6)+1/2=2/5(3a+20)
3/4(2a-6)+1/2=2/5(3a+20)
Reorder the terms in parentheses
+(+1.5a-4.5) + 0.5=0.4*(3a+20)
Remove unnecessary parentheses
+1.5a-4.5 + 0.5=0.4+*(+3a+20+)
Reorder the terms in parentheses
+1.5a-4.5 + 0.5=+(+1.2a+8)
Remove unnecessary parentheses
+1.5a-4.5 + 0.5=+1.2a+8
3/4(2a-6)+1/2=2/5(3a+20)
We move all terms containing a to the left and all other terms to the right.
+1.5a-1.2a=+8+4.5-0.5
3/4(2a-6)+1/2=2/5(3a+20)
(3a+20)
We simplify left and right side of the equation.
+ 0.3a=+12
(3a+20)
3/4(2a-6)+1/2=2/5
We divide both sides of the equation by 0.3 to get a.
a=40
Hence, the answer is a = 40
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Examine the first two steps used to solve the equation. 3 4 (20y − 8) 5 = 1 2 y 1 4 (20y 8) 1. 15y − 6 5 = 1 2 y 5y 2 2. 15y − 1 = 11 2 y 2 which would be a good third step to solve the equation? combine like terms startfraction 11 over 2 endfractiony and 2. distribute 15 to each term on the left side. subtract startfraction 11 over 2 endfractiony from each side of the equation. divide each side of the equation by 2.
Combine like terms start fraction 11 over 2 end fraction y and 2. distribute 15 to each term on the left side. Subtract start fraction 11 over 2 end fraction y from each side of the equation.
To divide each side of the equation by 2.
Your fractions are missing there fraction bars:
3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)
15y − 6 + 5 = 1/2 y + 5y + 2
15y − 1 = 11/2 y + 2
A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable
B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1
C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.
15y-1=11/2y+2
Subtracting 11/2y on both sides
9.5y-1=2
That looks pretty good because then you would add 1 on both sides giving:
9.5y =3
Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.
D. You could actually do this but it doesn't help you get x by itself. The equation would look like this: 15/2 y-1/2=11/4 y+1
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Answer:
C is your answer
Step-by-step explanation:
Which equation, when paired with y = 2x 5, creates an inconsistent system? 2x y = 5 y = 2x 5 2x â€" 4y = 10 2y â€" 4x = â€"10
A linear or non- linear equation system is called inconsistent if there is no set of values for the unknown that satisfies all of the equations. correct option is (D).
in any case, the system as a whole may be inconsistent if two equations of the simply do not share any point in common. For example: Equation that describes two parallel lines.
For better understanding about inconsistent system:
lets take a non-linear system:
x² + y² + z² = 17
x² + y² +z² = 14
has no solution if one equation is subtracted from the other we obtain the impossible.
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The question was incomplete. Check below the complete question.
Which equation, when paired with y = 2x 5, creates an inconsistent system?
a. 2x y = 5
b. y = 2x 5 2x â€"
c. ]4y = 10 2y â€"
d. 4x = â€"10
What is the average of first 50 positive integers?.
Average of first 50 positive integers which starts from 1 and goes till 50, we get as 25.5.
What is positive integers ?Mathematically speaking, positive integers are defined as "Integers that are greater than zero." Three categories of integers exist: negative integers, zero, and positive integers.
AVERAGE =[tex]\frac{First Number + Last term}{2}[/tex]
50 positive numbers starting from 1 to 50
So,
First number = 1
Lat number = 50
Putting in formula we get,
AVERAGE = [tex]\frac{1+50}{2}[/tex]
= 25.5
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HELP ASAP, 15 POINTS! (dont answer with absurd numbers or words, just for points, you will be reported.)
The equation solved for n is n = (2c-2)/(-p).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is -np-4 = 2(c-3).
Solve the equation for n as follows;
-np - 4 = 2(c - 3)
-np = 2(c- 3) +4
-np = 2c - 6 +4
-np = 2c - 2
n = (2c-2)/(-p)
Hence, the equation solved for n is n = (2c-2)/(-p).
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Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y = -5. Include your work in your final answer. Type your answer in the box provided submit your solution.
Answer:
[tex]2x + y = 2[/tex]
Step-by-step explanation:
[tex]2x + y = - 5[/tex]
[tex]y = - 2x - 5[/tex]
This line has slope -2 and y-intercept -5.
A line parallel to this line will have a slope of -2. Since the y-intercept is 2, we have:
[tex]y = - 2x + 2[/tex]
[tex]2x + y = 2[/tex]
Naomi is working two summer jobs, making $10 per hour washing cars and $12 per hour tutoring. Last week Naomi earned a total of $108 and worked 2 more hours washing cars than hours tutoring. Determine the number of hours Naomi worked washing cars last week and the number of hours she worked tutoring last week.
Answer: 6 hours washing cars and 4 hours tutoring
Step-by-step explanation:
# of hours washing cars can be represented as x
# of hours tutoring can be represented by y
10x + 12y = $108
y + 2 = x
10 (y +2) + 12y = 108
10y + 20 + 12y = 108
22y + 20 = 108
22y = 88
y = 4 hrs tutoring
4 + 2 = 6 hrs washing cars
Check:
10(6) + 4(12) = 108
108 = 108
The number of hours Naomi worked washing cars last week and the number of hours she worked tutoring last week will be 4 and 6 hours respectively.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Naomi is earning $10 per hour washing cars and $12 per hour tutoring during the summer. Naomi worked 2 more hours washing cars last week than tutoring, earning a total of $108.
Suppose the number of hours invested in washing cars is x and tutoring be y.
It is given that, Naomi is earning $10 per hour washing cars and $12 per hour tutoring during the summer and earning a total of $108.The obtained equation is
10x + 12y = $108 -----(1)
If Naomi worked 2 more hours washing cars last week than tutoring. The obtained equation is
y + 2 = x -----(2)
Substitute the value of y in equation 1
10 (y +2) + 12y = 108
10y + 20 + 12y = 108
22y + 20 = 108
22y = 88
y = 4 hrs
The value of x is,
x=y+2
x=4+2
x=6
Thus, the number of hours Naomi worked washing cars last week and the number of hours she worked tutoring last week will be 4 and 6 hours respectively.
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