Answer:
-2≤x<3
Step-by-step explanation:
that's the answer
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer: This is the answer. please give me the brainliest. Thanks
1.x2+3x+3=0
2.x2-2x-3=0
3.x2-6x+9=0
4.-x2+3=0
Step-by-step explanation:
the two A's in the buttom is correct
Kate hiked 14 miles in 6 hours.
Which rate represents the number of miles traveled per hour?
Answer:
Step-by-step explanation:
To answer this, look at the form of the answer. they want miles per hour. So, just do that calculation
She traveled 14 miles in 6 hours.
14 miles/6 hours
14/6 = 7/3 = 2.3333 miles/hour
A bottle of water has a diameter of 3 inches and a height of 8 inches, and a mass of 1250 g. What is the volume and density?
The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.
What is the volume and density of the bootle water?The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that:
Diameter = 3 in
Radius r = diameter/2 = 3/2 = 1.5 in
Height h = 8 in
Mass m = 1250 g
Find the volume:
V = π × r² × h
V = 3.14 × (1.5 in )² × 8in
V = 56.52 in³
Find the density:
p = m / v
p = 1250g / 56.52 in³
p = 22.12 g/in³
Therefore, the density is 22.12 g/in³.
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Help me out:)i need an answer as soon as possible!!!
LOOK AT THE PHOTO PLS
Answer:
0.54545454545
Step-by-step explanation:
Solve the inequality: 7x + 5 > 2. - 35 Show all work on the "Scratch pad".
Please really need help on this please
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answer:
7 :)
Step-by-step explanation:
The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?
Answer:
Expected Score (No Negative Marking) = 135 points
Expected Score (with penalty) = 130 points
Step-by-step explanation:
First we find no. of true false answered correctly:
True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)
True/False Correct = (25)(0.8)
True/False Correct = 20
Now, for points scored from true/false:
True/False Score = (True/False Correct)(Points for 1 True/False)
True/False Score = (20)(2)
True/False Score = 40 points
Now, we find no. of mcqs answered correctly:
MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)
MCQs Correct = (35)(0.75)
MCQs Correct = 26.25 = 26
Now, for points scored from MCQs:
MCQ Score = (MCQs Correct)(Points for 1 MCQ)
MCQ Score = (26)(1)
MCQ Score = 26 points
Now, we find no. of fill in the blanks answered correctly:
Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)
Fill in the blanks Correct = (35)(0.65)
True/False Correct = 22.75 = 23
Now, for points scored from true/false:
Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)
Fill in the blanks Score = (23)(3)
Fill in the blanks Score = 69 points
So, the expected total score will be:
Expected Score = 40 points + 26 points + 69 points
Expected Score = 135 points
IN CASE OF PENALTY:
We know that:
Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5
Therefore,
Total Penalty = (Incorrect True/False)(Penalty on one)
Total Penalty = (5)(- 1 points)
Total Penalty = - 5 points
Now, expected score will be;
Expected Score (with penalty) = 135 points - 5 points
Expected Score (with penalty) = 130 points
Use the diagram to find the measure of
Answer:
44°
Step-by-step explanation:
m∠MKN=44° (sum of angles in a triangle)
m∠KMJ=44° (definition of congruent angles)
a local radio station plays 40 rock-and-roll songs during each 4-hour show. the program director at the station needs to know the total amount of airtime for the 40 songs so that time can also be programmed during the show for news and advertisements. the distribution of the lengths of rock-and-roll songs, in minutes, is roughly symmetric with a mean length of 3.9 minutes and a standard deviation of 1.1 minutes.
The sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is given as follows:
Approximately normal, with mean of 3.9 minutes and standard deviation of 0.17 minutes.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\), with mean and standard error given as follows:
Shape: approximately normal.Mean: \(\mu\)Standard error: \(s = \frac{\sigma}{\sqrt{n}}\)The population mean and standard deviation for this problem are given as follows:
\(\mu = 3.9, \sigma = 1.1\)
Hence the standard error of the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is calculated as follows:
s = 1.1/square root of 40 = 0.17 minutes.
Missing InformationThe problem asks for the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs.
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A pair of parallel lines divide a parallelogram as shown in the diagram into three regions with the same area. If one of the three regions is an equilateral triangle with perimeter 1, then what is the perimeter of the original parallelogram?
2√6 / 3 is the perimeter of the original parallelogram.
What is parallelogram?A parallelogram is a geometry shape having sides that really are parallel to one another in the two dimensions. It is a sort of four-sided polygon (sometimes known as a quadrilateral) where each parallel pair of sides is the same length. In a parallelogram, the sum of the adjacent angles equals 180 degrees.
Here, the parallelogram in this case 1 is a rhombus because one of its angles is 60 degrees (due to the equal-sided triangle), the triangle's sides are 1/3, and its area is √3 / 36. The rhombus's area is thus √3 / 12.
It may be divided into two equal-sized triangles, each with an area of √3 / 24.
This means that the sides are each √6 / 6, and the perimeter is 2√6 / 3.
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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please help me thank you so much
Answer:
1)
7+9-15 = add 7 and 9, then subtract 15
2)
15-(7+9) = The sum of 7 and 9 subtracted from 15
3)
15-(7+9) = subtract 7 from 15, then add 9
Step-by-step explanation:
Learn BODMAS. The order of how to do equations. A simple tutorial on yt should be sufficient
PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?
A) 2
B) -2
C) 8
D) -8
E) 1
The rate of decrease of the weather in degrees per hour is 2 degrees.
EquationsThe time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.
The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.
Therefore, the rate of decrease of the weather in degrees per hour is:
-8 degrees / 4 hours = -2 degrees per hour
What is rate of change of temperature?A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.
Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.
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Question Help
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket.
The total cost is $915. Let x represent the price of one ticket. Write an equation for the total cost.
Then find the price of one ticket.
Answer:
it would be
18 x 5x = 915
solve the equation
18 x 5 = 90
90x = 915
divide by 90
x =10.1666
Step-by-step explanation:
Which value is a solution of the equation c + 14 = -20? A: -34 B: -6 C: 6 D: 34
x⁵+x³-5 is divided by x-2
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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Pleaseeee help I only need this answer to be passing math
Answer:
Angle 5 and Angle 7
Step-by-step explanation:
The last option is right in which you want the vertical angles to be straight lines. In this case, angle 5 and angle 7 is correct because of their straight lines intersecting and that they are also congruent to each other.
Answer:
Choice D: angle 5 and angle 7
Step-by-step explanation:
Vertical angles are the angles opposite of each other from two lines that intersect.
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Logan starts an IRA (Individual Retirement Account) at the age of 24 to save for retirement. He deposits $300 each month. Upon retirement at the age of 65. his
retirement savings is $1,510,293.29. Determine the amount of money Logan deposited over the length of the investment and how much he made in interest upon
retirement.
Total deposited = $147600
Interest earned = $1362693.29
Total no. of years for saving = 65-36-24 = 41
years saving no. of months = 41 x12
= 492 Month
deposit for 1 month = $300 deposit for 492 month = 492 x $300= $147600
Total deposited = $147600
Total saving after retirement = $1,510,293.29 interest = total saving - total deposit= $1,510,293.29 - $147600
= $1362693.29
What is the Interest Rate ?Interest is a periodically paid interest amount related to the amount borrowed, deposited or borrowed (the so-called capital amount). The total interest on the amount borrowed or borrowed depends on the principal amount, the interest rate, the frequency of the interest and the time of loan, deposit or borrowing.
Annual interest is interest for one year. Other interest rates apply to different periods of time, such as a month or a day, but are usually calculated annually.
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Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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how do i solve this problem
Answer:
\(A\approx 159.6\)
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows (\(A=(length)(width)\)). The formula to find the area of a circle is the following, (\(A=(\pi)(r^2)\)).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
\(A=(length)(width)\\\)
Substitute,
\(A_r=(length)(2(radius))\\A_r=(14)(2(5))\)
Simplify,
\(A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140\)
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and (\(\pi\)) represents the numerical value (3.1415...)
\(A=\frac{(\pi)(r^2)}{2}\)
Substitute,
\(A_s=\frac{(\pi)(5^2)}{2}\)
Simplify,
\(A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635\)
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
\(A=A_r+A_s\\\)
Substitute,
\(A=140+19.635\)
Simplify,
\(A=159.635\)
\(A\approx 159.6\)
What is the slope of the linear relationship? a graph of a line that passes through the points 0 comma 3 and 2 comma negative 2 negative five halves five halves negative two fifths two fifths
The slope of the linear relationship is equal to: A. negative five halves.
How to calculate the slope of a line?In Mathematics, the slope of a linear relationship can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = (0, 2).Points on y-axis = (3, -2).Substituting the given data points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-2 - 3)/(2 - 0)
Slope, m = -5/2
Note: -5/2 is negative five halves.
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Answer: The Answer is A. -5/2
Step-by-step explanation: I took the test.
A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.
22.5 ft
24.0 ft
28.0 ft
28.7 ft
The length of the ladder that is leaning on the building would be = 24ft. That is option B.
How to determine the length of the ladder?To determine the length of the ladder, the sine rule needs to be obeyed. That is
= a/sinA = b/sinB
Where;
a = 8.2 ft
A = 180-( 70+90
= 180- 160
= 20°
b = X
B = 90°
That is;
8.2/sin20° = b/sin90°
Make b the subject of formula;
b = 8.2×1/0.342020
= 23.9
= 24 ft
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Jotham needs 18 liters of a 80% alcohol solution. He has a 30% and a 90% solution available. How many liters of the 30% and how many liters of the 90% solutions should he mix to make the 80% solution?
The amounts of each solution that he should use are given as follows:
30% solution: 3 liters.90% solution: 15 liters.How to obtain the amounts of each solution?The amounts of each solution are obtained by a system of equations, for which the variables are given as follows:
x: amount of the 30% solution.y: amount of the 90% solution.The total solution is of 18 liters, hence:
x + y = 18.
x = 18 - y.
The final concentration is of 80%, hence:
0.3x + 0.9y = 0.8 x 18
0.3x + 0.9y = 14.4.
As x = 18 - y, the value of y is obtained as follows:
0.3(18 - y) + 0.9y = 14.4
0.6y = 9
y = 9/0.6
y = 15.
Hence the value of x is obtained as follows:
x = 18 - y
x = 18 - 15
x = 3.
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