Hello!
The midpoint separates two equal distances,
This means that AB = BC
So lets type of the equation to solve for x:
2x + 7 = 5x -14
Lets add 14 on both sides.
2x + 21 = 5x
Lets subtract 2x on both sides.
21 =3x
Lets divide 3 by both sides
x = 7
AB= 21
2(7) + 7
14 + 7
21
BC = 21
5(7) - 14
35 - 14
21
AC = 42
21 + 21 = 42
I hope this helps, Have a great day!!
why did you choose the outfit you wore today?"" is an example of what type of question?
"Why did you choose the outfit you wore today?" is an example of a open-ended question question.
An illustration of an open-ended question is "why did you choose the outfit you wore today?" An open-ended question is one that invites a range of responses and motivates the reply to give more specific information.
In this situation, a question is open-ended and is meant to inspire a unique response based on the person's preferences, views, or situation. In research, interviews, counseling, and other situations where gathering in-depth and varied information is desired, open-ended questions are frequently employed.
They can help researchers and practitioners better understand people's experiences and perspectives by offering insightful information about their thoughts, feelings, and behaviors.
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How do i write six hundred thousand eight in standard form
Th given number " six hundred thousand eight" can be written in the standard form as 600,008.
To write "six hundred thousand eight" in standard form, we need to write the number using digits in the appropriate place value positions.
The digit "8" is in the "ones" position, the digit "0" is in the "tens" position, the digit "0" is in the "hundreds" position, the digit "0" is in the "thousands" position, the digit "0" is in the "ten thousands" position, and the digit "6" is in the "hundred thousands" position.
Therefore, it can be concluded that we can write the given number in standard form as 600,008.
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11 Prove that the only subsets of a normed vector space V that are both open and closed are and V.
The only subsets of a normed vector space V that are both open and closed are the empty set and V.
To prove that the only subsets of a normed vector space V that are both open and closed are the empty set and V itself, we can use the following argument:
Let A be a subset of V that is both open and closed.
First, suppose A is not empty. Since A is open, for every point a in A, there exists an open ball B(a, r) centered at a and with radius r such that B(a, r) is entirely contained in A.
Now, consider the complement of A, denoted as A'. If A is closed, then A' must be open. For every point b in A', there exists an open ball B(b, s) centered at b and with radius s such that B(b, s) is entirely contained in A'.
Now, let's consider a point a' in A'. Since A is open, there exists an open ball B(a', r) centered at a' and with radius r such that B(a', r) is entirely contained in A. However, this implies that B(a', r) is also contained in A'. This is a contradiction because A' is open and B(a', r) is not entirely contained in A'.
Therefore, our assumption that A is not empty must be false. This means A must be either the empty set or V itself.
Hence, the only subsets of a normed vector space V that are both open and closed are the empty set and V.
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3(5−p)−2(5+p)=3(p+1)
Step-by-step explanation:
or, 3(5-p)-2(5+p)=3(p+1)
or, 15-3p-10-2p=3p+3
or, 5-5p=3p+3
or, 5-3=3p+5p
or, 2=8p
or, 2/8=p
or, 1/4=p
Answer: 1/4
Step-by-step explanation: Distribute 3 through the parentheses , Distribute 3 through the parentheses , Distribute 2 through the parentheses , Subtract the numbers , Combine like terms , Move variable to the left-hand side and change its sign , Move constant to the right-hand side and change its sign , Collect like terms , Calculate the difference , Divide both sides of the equation by -8 .
ANSWER RIGHT NOW.
Kareem is replacing the carpet in his living room. He spends $22 per square yard for new carpeting, and $18.99 for a carpet pad. If 1 square yard = 9 square feet, what expression would represent the cost for Kareem to carpet f square feet?
$18.99 + $22(9f)
$18.99 – $22(9f)
$18.99 + $22(F/9)
$18.99 – $22(F/9)
Answer:
18.99 + 22(F/9)
Step-by-step explanation:
18.99 for Carpet Pad plus 22 dollars for every 9ft
Find the supplementary of an angle that measures 110°
85°
70°
73°
67°
Step-by-step explanation:
The two angles should measure 180°. So 180 - 110 = 70. So the correct answer is 70°.
x/18 = (2/3)^log base x of 12
Answer:
wait what is that what the question ask you to do
3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M. Which angles form a linear pair? AnglePRL and AngleLRM AngleORP and AngleMRN AngleMRN and AngleNRO AngleLRP and AngleORP
Answer:
(C)Angle MRN and Angle NRO
Step-by-step explanation:
A diagram of the given problem is drawn and attached below.
From the diagram:
Option A: Angle PRL and Angle LRM = Angle PRM which is not 180 degrees.
Option B: Angle ORP and Angle MRN are vertically opposite angles and are therefore not linear pairs.
Option C: Angle MRN and Angle NRO are on the line ORM and therefore forms a linear pair.
Therefore, the correct option is C.
Answer:
C IS CORRECT 100% THE ONE ABOVE IS CORRECT I JUST DID THIS ON EDGE 2022 ON THE UNIT REVIEW RATE HIM WELL HE WAS CORRECT<3
Step-by-step explanation:
THIS IS FOR FUTURE PPL ON EDGE 2022:)
How many kilograms are in 16.3 nanograms? Please help me finalize my answer with proper significant figures & the reason behind the certain amount of significant figures.
I am confused by this problem.
a.) 16.3kg
b.) 1.63 x 10^4kg
c.) 1.63 x 10^-11kg
d.) 1.63 x 10^12 kg
Answer:
c
Step-by-step explanation:
1 nanogram is 1 x 10^-12 kg
16.3 nanogram * 1 x 10^-12 kg/ nanogram = 16.3 x 10^-12 = 1.63 x 10^-11 kg
the filmmaker took 66 inches of film during career week. if she filmed at a rate or 400 frames per second and it took 1 minute to film 1 inch of film, how many photos did she take?
Answer:
1,584,000
Step-by-step explanation:
66 inches = 66 minutes
66 minutes x 60 seconds/minute = 3960 seconds
400 frames/second x 3960 seconds = 1,584,000 photos
Julia’s gross pay was $4,500 last year. the federal income tax withholding from her pay was 13% of her gross pay. julia determined the federal income tax she owes is $495. how much of a refund can julia expect? $64.35 $90.00 $430.65 $585.00
The amount of the refund Julia gets as a federal income tax will be $90.
What will be Julia's refund?It is given in the question:
Julia's gross pay = $500
federal income tax withholding from her pay was 13% of her gross pay
federal income tax she owes is = $495
To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.
\(\rm federal \ amount =\dfrac{4500\times 13}{100} =585\)
The refund Julia will get will be
\(=585-495=90\)
Hence the amount of the refund Julia gets as a federal income tax will be $90.
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(DESPERATE PLEASE HURRY)
question down below
please show the work
Answer:
k = 18
Step-by-step explanation:
-7 = 11 - k
Add k to both sides.
k - 7 = 11
Add 7 to both sides.
k = 18
Select the null and the alternative hypotheses for the following tests:
A.Test if the mean weight of cereal in a cereal box differs from 18 ounces.
1.H0: ? ? 18; HA: ? < 18
2.H0: ? = 18; HA: ? ? 18
3.H0: ? ? 18; HA: ? > 18
The null and the alternative hypotheses for "Test if the mean weight of cereal in a cereal box differs from 18 ounces." is H0: μ = 18; HA: μ ≠ 18. So the option 2 is correct.
We need more details about the particular test or experiment being undertaken in order to determine the null and alternative hypotheses.
The alternative hypothesis (HA) is a claim that disputes the null hypothesis and implies the existence of an effect or difference, whereas the null hypothesis (H0) asserts that there is no effect or difference.
The following alternative and null hypotheses are appropriate for the test:
H0: μ = 18 (A box of cereal typically contains 18 ounces of cereal.)
HA: μ ≠ 18 (The average amount of cereal in a box varies from 18 ounces.)
As a result, option 2 accurately reflects the null and alternative hypotheses:
H0: μ = 18; HA: μ ≠ 18
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you attend a working dinner with four other colleagues. since alcohol is not reimbursed by your company, your party receives two separate bills: one for food ($156.65) and one for alcohol ($49.50). each bill needs to be split 5 ways. how much do you owe for each bill?
For the food bill, each person would owe $31.33 ($156.65 divided by 5). For the alcohol bill, each person would owe $9.90 ($49.50 divided by 5).
To find out how much you owe for each bill, you need to divide the total amount on each bill by the number of people attending the working dinner (5 people).
For the food bill:
1. Total food cost: $156.65
2. Divide by the number of people (5): $156.65 / 5 = $31.33
For the alcohol bill:
1. Total alcohol cost: $49.50
2. Divide by the number of people (5): $49.50 / 5 = $9.90
So, you owe $31.33 for the food bill and $9.90 for the alcohol bill.
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find m ab in the figure below a90 b108 c72 d162
8 2/7 ·454+454·1 5/7 =
Answer:
4540
Step-by-step explanation:
Answer:
4540
Step-by-step explanation:
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
What is the equation for the lines that passes through the coordinates (0,0) and (3.5,3.5)
The equation of the line which passes through the coordinates (0,0) and (3.5,3.5) is y = x.
The slope intercept form of a line is given by:-
y = mx + c
Where,
m represents the slope of the line
c represents the y -intercept
(x,y) represents the coordinates of each point on the line.
We also know the slope of the line will be:-
(3.5-0)/(3.5-0) = 3.5/3.5 = 1
Hence, m = 1
Putting (0,0) in y = mx + c, we get,
0 = m*0 + c
0 = 0 + c
c = 0
Hence, the equation of the line is given by:-
y = x
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Write an equation in slope-intercept form that describes that data in the table
From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The first two data points are - (-3,5.5) and (-1,4.5)
The slope-intercept form of the equation is -
y = mx + b
m represents the slope of the linear equation.
To find the value of m use the formula -
(y2 - y1)/(x2 - x1)
Substitute the values into the equation -
(4.5 - 5.5)/[(-1) - (-3)]
Use the arithmetic operation of subtraction -
(-1)/(-1 + 3)
-1 / 2
So, the slope m is m = -1/2
Now, the equation becomes y = -1/2x + b
To find the value of b substitute the values of x and y in the equation -
5.5 = -1/2(-3) + b
5.5 = 3/2 + b
5.5 = 1.5 + b
b = 5.5 - 1.5
b = 4
So, now the equation becomes - y = -1/2x + 4
The graph for the equation is plotted.
Therefore, the equation is y = -1/2x + 4.
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Briefly define each of the following. Factor In analysis of variance, a factor is________ Level A level of________ is used to ________
Two-factor study A two-factor study is a research study that has two________
Factor: In analysis of variance, a factor is an independent variable that is used to categorize or group the data. It is a variable that is believed to have an effect on the dependent variable.
Level: A level of a factor is a specific value or category of the independent variable that is being studied. For example, if the factor is "age," the levels might be "20-30 years," "31-40 years," etc.
Two-factor study: A two-factor study is a research study that has two independent variables, or factors, that are being studied simultaneously. This allows the researcher to examine the effects of each variable on the dependent variable, as well as any interactions between the two independent variables. For example, a two-factor study might examine the effects of both age and gender on a particular outcome variable.
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What unit of measurement is used to describe how far a set of values are from the mean? a) Variance b) Standard deviation c) Median d) Mode
The unit of measurement used to describe how far a set of values are from the mean is the standard deviation. Therefore, the correct answer is (b) standard deviation.
The variance is another measure of spread, but it is not in the form of the original units of measurement. The median is a measure of central tendency and not a measure of spread. The mode is the most frequently occurring value in a set and is also not a measure of spread.
The unit of measurement used to describe how far a set of values are from the mean is the Standard Deviation (b). It is calculated by taking the square root of the variance and provides a measure of the average distance between each value in the set and the mean. The Median (c), on the other hand, is the middle value in a set when the values are arranged in numerical order.
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Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %
The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.
To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.
For Division A:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($230,000 / $2,120,000) * 100
Profit Margin ≈ 10.85%
For Division B:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($34,700 / $381,000) * 100
Profit Margin ≈ 9.11%
To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.
Net Income = Profit Margin * Sales
Net Income = 7% * $1,220,400
Net Income = $85,428
Return on Assets = Profit Margin * Asset Turnover
Return on Assets = 7% * 2.7
Return on Assets = 18.9%
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Which of the following terms best describes an exponent that has the form
where mand n are integers?
m
n
A. Rational equation
B. Complex number
C. Like radicals
D. Rational exponent
Answer:
D. Rational exponent
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
60°
V8
30
X
Answer:
\( \sqrt{6} \)
Step-by-step explanation:
We first divide sqrt8 by to 2.
Next we multiply that by sqrt3
\( \sqrt{8} \ \div 2 \times \sqrt{3} \)
a rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. find the dimensions of the room.
The dimensions of the room will be 12m x 6m.
What is a dimension?In mathematics, dimensions are the measurements of the size or distance of an item, area, or space in one direction. In layman's words, it is the measurement of something's length, breadth, and height. Length is the most often used dimension.So, now calculate the dimensions of the room as follows:
Let the width be x.Then the length will be 3x.Perimeter = 48 metersSolve as shown:
2 ( x + 3x) = 488x = 48x = 6mlength = 12 mTherefore, 12m x 6m will be the dimensions of the room.
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to find the region s in the uv-plane which corresponds to r, we find the corresponding boundaries. the line though (0, 0) and (8, 1) is y
The line through the points (0, 0) and (8, 1) is y = x/8 .
How do slope and an example work?
The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.
M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0, respectively.
In the question ,
it is given that ,
we have to fin the equation of the line that passes through the points (0, 0) and (8, 1) .
we know that the equation of the line in slope intercept form is written as
y = mx c , where m is slope of line .
and m(slope) between the points (a,b) and (c,d) can be found using the formula ,
slope = (d - b)/(c -a)
Substituting the values in the formula ,
we get ,
slope = (1-0)/(8-0)
= 1/8
The equation of the line passing through the points (0,0) with slope as 1/6 is
0 = (1/8)(0) + c
c = 0 ,
we get , y = (1/8)x + 0
y = x/8
Therefore , the line is y = x/8
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A group of 8 friends each buy 1 ticket and 1 small popcorn at the movie theater. Each ticket costs $7.50. The group
of friends spends a total of $83.60.
Enter the cost of 1 small popcorn.
t
x
1
2
3
4
5
6
7
8
9
0
US 10:
The cost of one small popcorn is $23.60. The total amount spent by the group of friends is $83.60, and each ticket costs $7.50.
To find the cost of one small popcorn, we can subtract the total cost of the tickets from the total amount spent by the group of friends.
The total amount spent by the group of friends is $83.60, and each ticket costs $7.50. Let's calculate the cost of one small popcorn:
Cost of one small popcorn = Total amount spent - (Number of tickets * Cost per ticket)
Cost of one small popcorn = $83.60 - (8 * $7.50)
Calculating further:
Cost of one small popcorn = $83.60 - $60
Cost of one small popcorn = $23.60
Therefore, the cost of one small popcorn is $23.60.
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If 35% of a number is 84 and 60% of the same number is 144, find 25% of that number.
Answer:
60
Step-by-step explanation:
The football team ha a total of 50 jerey. There are 20 medium jerey. What percent of the jerey are medium ize jerey?
the total number of medium jerseys (20) by the total number of jerseys (50). To express this as a percentage, we must multiply the result by 100. Which results as 40%
In order to calculate the percentage of medium jerseys, we must divide the total number of medium jerseys (20) by the total number of jerseys (50).
To express this as a percentage, we must multiply the result by 100. Therefore, 20 ÷ 50 = 0.4 and 0.4 x 100 = 40%. Thus, 40% of the jerseys are medium size. the total number of medium jerseys (20) by the total number of jerseys (50). To express this as a percentage, we must multiply the result by 100. Which results as 40%
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at what rate is the base of the triangle changing when the altitude is 20 cm and the area is 120 cm2?
The rate at which the base of the triangle is changing when the altitude is 20 cm and the area is 120 cm^2 is 0 cm/s.
To solve this problem, we need to use the formula for the area of a triangle, which is:
A = (1/2)bh
Where A is the area, b is the base, and h is the altitude.
We know that the area is 120 cm^2 and the altitude is 20 cm. So we can plug in these values and solve for the base:
120 = (1/2)b(20)
240 = 20b
b = 12 cm
Now we need to differentiate both sides of the equation with respect to time (t):
dA/dt = (1/2)(db/dt)h
We are given the value of dh/dt (which represents the rate at which the altitude is changing) is 3 cm/s. We need to find db/dt (which represents the rate at which the base is changing).
Plugging in the values we know, we get:
dA/dt = (1/2)(db/dt)(20)
Solving for db/dt, we get:
db/dt = (2dA/dt)/h
Plugging in the values we know, we get:
db/dt = (2)(0)/20
db/dt = 0 cm/s
Since the area is constant (120 cm²) and the altitude is constant (20 cm), the base of the triangle is not changing. Therefore, the rate at which the base is changing is: 0 cm/s
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