Write an equation in the form y = mx for the Earnings to Time proportional relationship shown below
Answers
To find the line equation of the form: y = mx, we can proceed as follows:
\(\frac{y}{x}=\frac{16}{2}=\frac{32}{4}=\frac{48}{6}=\frac{64}{8}=\frac{80}{10}=8\)As we can see, if we multiply the variable, x, times 8, we obtain the value for y, that is:
\(\frac{y}{x}=8\Rightarrow y=8x\)Therefore, we have here a proportional relationship between the variable, hr (represented above as x), and the variable, earnings (represented above as y).
Hence, the relationship is of the for y = 8x.
Related Questions
If the line of best fit is y = 1.18x 5.4, what is the residual value for the coordinate (5, 12)? 0.3 −0.3 0.7 −0.7
Answers
The residual value for the coordinate from the line of best fit is equal to 0.7 .
The line of best fit is y = 1.18x + 5.4 .
the given point is (5,12)
At x = 5 ,
y = 1.18 × 5 + 5.4
y = 11.3
Residual value = 12 - 11.3 = 0.7
Hence the residual value from the line of best fit is 0.7 .
A line of best fit is a straight line that minimizes the distance between it and some data. The line of best fit is used to represent a relationship in a scatter plot with numerous data points. Regression analysis produced it, and it serves as a tool for predicting indicators and price fluctuations.
The eyeball method can be used to roughly build a line of best fit by drawing a straight line on something like a scatter plot and making sure that the total number of points above and below the line is nearly equal (and the line passes through as many points as possible).
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Find the area of the figure.
4 ft
3 ft
Bft
3 ft
3.ft
2 ft
2 ft
Answers
9514 1404 393
Answer:
32 ft^2
Step-by-step explanation:
The area can be figured several ways. Here are two of them.
__
Add components
The figure can be divided into two smaller rectangles, (b) and (d) in the attached drawing. The area of each is the product of its dimensions.
Area b = (4 ft)(3 ft) = 12 ft^2
Area d = (10 ft)(2 ft) = 20 ft^2
Area of the figure is Area b + Area d = 12 ft^2 + 20 ft^2 = 32 ft^2.
__
Subtract white space
The figure is bounded by an overall rectangle that is 10 ft wide and 5 ft high. The area of that rectangle is
Area a+b+c+d = (10 ft)(5 ft) = 50 ft^2
The area of whitespace 'a' is ...
Area a = (3 ft)(3 ft) = 9 ft^2
Area c has the same dimensions, so the same area. The area of the figure is the area of the bounding rectangle less the area of the two corner white spaces (a) and (c).
Area of the figure is ...
Area a+b+c+d -Area a -Area c = 50 ft^2 -9 ft^2 -9 ft^2 = 32 ft^2.
The probability of sandy flipping a coin twice and getting heads both times is 0.25 the probability of john's spinner stopping on the color red is
Answers
The true statement is (c) Neither. Both events are equally likely.
Complete questionThe probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping on the color red is 1/4.
Which of these events is more likely?
-Sandy flips a coin twice and gets heads both times.
-John's spinner stops on the color red.
-Neither. Both events are equally likely.
How to determine the likely event?The given parameters are:
P(Head twice) = 0.25
P(Red) = 1/4
Rewrite P(Red) as:
P(Red) = 0.25
By comparison, we have:
P(Red) = P(Head twice) = 0.25
This means that both events are equally likely
Hence, the true statement is (c)
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Calculate the Compound interest for 18,000 for 2 years at 8% per
annum compounded annually.
AGAIN URGENT!!!!!
THANK U
Answers
Step-by-step explanation:
principal = 18000
Time = 3 yrs
Rate. = 8%.
CI. = ?
Now
CI = p ( 1+ R÷ 100) ^T
CI = 18000( 1+ 8÷ 100 ) ^ 2
CI = 20995.2
Hope it's is Right :-)
Answer:
interest ( I ) , principal ( P ), Time ( T ) , Rate ( R )
P = I×T×R
100
P = 18,000×2×8
100
= 18,000×16
100
so two zero cancel other two zero living
= 180×16 = 180 × 16
1
= 180 × 16
P = 2880
1
we fixe in the values
Emergency help PleaseILL MARK YOU BRAINLIST
Answer the question in the image THE ANSWER IS NOT 105
Answers
Answer:
240
Step-by-step explanation:
180 decided by 3 because 75% is 3/4 then you take that and add it to your original number
What is the range of the function?
(-7,-1) (-2,-4) (0,-1) (5,-9)
Answers
Answer:
range: (-1,-9,-4)
domain: (-7,-2,0,5)
Answer:
What is the range of the function?
(-7,-1) (-2,-4) (0,-1) (5,-9)
192
6. A lighting fixture manufacturer has daily production costs of c=0.25n²-10n+800, where C is the total
daily cost in dollars and n is the number of light fixtures produced.
a) Is the manufacturer's cost increasing or decreasing when they produce between 10 and 15 light fixtures?
Prove your claim with math. (2 pts)
b) Is the manufacturer's cost increasing or decreasing when they produce between 20 and 25 light fixtures?
Prove your claim with math. (2 pts)
Answers
By finding the average rate of change, we can see that:
a) The cost decreases.
b) The cost increases.
How to know when the cost is increasing or decreasing?
To check that, we need to find the average rate of change on the interval.
Remember that for function f(x) on an interval (a, b), the average rate of change is:
R = (f(b) - f(a))/(b - a)
Here the cost function is:
c(n) = 0.25*n² - 10n + 800
a) In the interval [10, 15] the average rate of change is given by:
R = (c(15) - c(10)/(15 - 10)
Where:
c(15) = 0.25*15^2 - 10*15 + 800 = 706.25
c(10) = 0.25*10^2 - 10*10 + 800 = 725
Then the average rate of change is:
R = (706.25 - 725)/(15 - 10) = -3.75
This means that between 10 and 15 light fixtures, the cost is decreasing.
b) Now we have the interval [20, 25], so let's do the same ting:
c(20) = 0.25*20^2 - 10*20 + 800 = 700
c(25) = 0.25*25^2 - 10*25 + 800 = 706.25
Here the average rate of change is:
R = (706.25 - 700)/(25 - 20) = 1.25
It is positive, which means that the cost is increasing.
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In the one-way ANOVA F test, if the null hypothesis was true the variance of the k population means would be small the variance of the k population means would be zero the variance of the k population means would be large the variance of the k population means would be negative
Answers
The correct answer is that the k population's variance would be small. In the one-way ANOVA F test, if the null hypothesis was true, the variance of the k population means would be small.
The null hypothesis in ANOVA is that there is no significant difference between the means of the populations from which the samples are drawn. If this hypothesis is true, the differences between the sample and overall mean are due to random sampling variability.
In this case, the variance of the population means is expected to be small, because the samples are expected to be representative of their respective populations, and any differences observed between the sample means are due to chance.
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The diagram shows a convex polygon.
b+7°
2b
What is the value of b?
140⁰
b+9⁰
Answers
The diagram shows a convex polygon. 57.67 degrees, is the value of b.
Any polygon whose inner angles are all less than 180 degrees and whose vertices all point outward is said to be convex. It has a minimum of three sides and angles and is closed.
Setting up an equation, we get:
b + 7 + 2b = 180 (sum of angles in a triangle)
3b + 7 = 180
3b = 173
b = 57.67 degrees (rounded to two decimal places).
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Trying to get the right number possible. What annual payment is required to pay off a five-year, $25,000 loan if the interest rate being charged is 3.50 percent EAR? (Do not round intermediate calculations. Round the final answer to 2 decimal places.Enter the answer in dollars. Omit $sign in your response.) What is the annualrequirement?
Answers
To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.
The formula is: A = (P * r) / (1 - (1 + r)^(-n))
Where: A is the annual payment,
P is the loan principal ($25,000 in this case),
r is the annual interest rate in decimal form (0.035),
n is the number of years (5 in this case).
Substituting the given values into the formula, we have:
A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))
Simplifying the equation, we can calculate the annual payment:
A = 6,208.61
Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.
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The sum of two numbers is 22. The difference is 6. What are the two numbers?
Answers
here are 3 solutions
x and 22-x (x+22-x=22)
22-x-x=6
22-2x=6
22-6=2x
16=2x
x=8
22-8=14
x and y
x+y=22
x-y=6
add
2x=28
x=14
14+y=22
y=22-14
y=8
x²+x-6=0
hãy tìm giá trị của x trong câu trên
Answers
Tìm giá trị của x :
\( {x}^{2} + x - 6 = 0\)\(x {}^{2} + 3x - 2x - 6 = 0\)\(x(x + 3) - 2(x + 3) = 0\)\((x + 3)(x - 2) = 0\)Bây giờ, có hai trường hợp :
Trường hợp 1. khi nào x + 3 = 0
x = -3Trường hợp 2. khi nào x - 2 = 0
x = 2Tôi hy vọng nó đã giúp !
Add the numbers and enter the sum with the correct significant figures in scientific notation. (4.70×10
−6
)+(1.638×10
−3
)=A×10
B
Answers
The sum of\((4.70×10^(-6)) + (1.638×10^(-3))\) is equal to\(A×10^B\), where A and B are the appropriate values in scientific notation.
The sum is \(1.642 × 10^(-3)\).
How do we add numbers in scientific notation with the correct significant figures?When adding numbers in scientific notation, we need to ensure that the result is expressed in the appropriate number of significant figures. Here's how we can add the given numbers:
Align the exponents: In this case, both numbers are already in scientific notation, so we don't need to adjust their exponents.
Add the numbers: We add the coefficients of the numbers while keeping the exponent the same.
\(4.70 × 10^(-6)) + (1.638 × 10^(-3)) = (4.70 + 1.638) × 10^(-3) = 6.338 × 10^(-3)\)
Adjust the result to the appropriate significant figures: The original numbers were given with two significant figures, so the final result should also have two significant figures. Therefore, we round the result to two significant figures, giving us:
\(6.338 × 10^(-3) = 6.3 × 10^(-3)\)
Significant figures represent the precision or reliability of a measurement or calculation.
When adding or subtracting numbers, the result should be rounded to the least precise number involved in the calculation. In this case, the original numbers had two significant figures, so the sum should also have two significant figures.
Scientific notation is a way to express numbers that are either very large or very small in a concise and standardized format. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10, which represents the scale of the number.
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Calculate the volume of the cylinder giving your answer to 1 decimal. Picture linked. Please I have a math test tomorrow I'll give extra points for explanation!!!
Answers
Answer:
549.5 cm³
Step-by-step explanation:
___________________________________________________________
FORMULA USED IN THE QUESTION :-
Volume of a cylinder whose height is 'h' and radius is 'r' = \(\pi \times r^2 \times h\)
___________________________________________________________
According to the question ,
Height of cylinder (h) = 7 cm
Radius of cylinder (r) = 5 cm
Volume of cylinder = \(\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3\)
There are five consecutive odd integers. The sum of the three last integers is 3 more than the sum of the two greatest.
Answers
Step-by-step explanation:
x
x+2
x+4
x+6
x+8
these are the 5 consecutive odd integers.
when starting with an odd number as x, with every added 2 we get again an odd number.
the sum of the last 3 integers is 3 more than the sum of the 2 greatest :
x+4 + x+6 + x+8 = x+6 + x+8 + 3
we can subtract (x+6) abd (x+8) from both sides :
x + 4 = 3
x = -1
so, the 5 numbers are
-1
1
3
5
7
3 + 5 + 7 = 15
5 + 7 + 3 = 15
correct.
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Foci: (25,0) i:asymptotes: y=±4/3x Foci: (±5,0)
Answers
The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.
To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.
The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.
The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.
From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.
Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.
Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.
Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.
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If a sample of 64 golfers is taken from a population of 190 golfers, the
sample mean, X, is the mean of how many golfers' scores?
A. 64
B. Neither 64 nor 190
C. 190
D. Both 64 and 190
SUBMIT
Answers
Explanation:
Its either tricky or I’m thinkin too hard on it, but I’m seeing that 64 golfers were TAKEN OUT the population of 190 golfers, so it can’t be either.
Answer:
64
Step-by-step explanation:
ITSSSS 64!!
Sketch the line 4x+3y=11
Answers
sketch of the line 4x + 3y = 11, slope (-4/3), y-intercept of the line y = 11/3
Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:
3y = -4x + 11
y = (-4/3)x + 11/3
Step 2: Identify the slope and y-intercept:
From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.
Step 3: Plot the y-intercept:
On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.
Step 4: Use the slope to find additional points:
Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.
Step 5: Connect the points:
Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.
The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.
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a 6-pack of undershirts cost $13.98 this $3.96 less than the cost of buying 6 individual shirts. if each undershirts costs the same amount, how much does each undershirts cost when purchased individually
Answers
Answer:
Each undershirt costs $2.99 when purchased individually.
Step-by-step explanation:
The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.
To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.
Hope this helps!
In tossing twp coins at a time, what is the probability of having 2 heads in a single throw
Answers
The probability of getting 2 heads in a single throw when tossing two coins at a time is 0.25 or 25%. This means that in the long run, if you were to repeatedly toss two coins together, you would expect to get two heads approximately 25% of the time.
When tossing two coins simultaneously, there are four possible outcomes: HH (two heads), HT (one head and one tail), TH (one head and one tail), and TT (two tails). Each outcome has an equal probability of occurring.
Out of the four possible outcomes, only one outcome results in two heads (HH). Therefore, the probability of getting 2 heads is 1 out of 4 possible outcomes, or 1/4.
To calculate the probability, we divide the number of desired outcomes (1) by the total number of possible outcomes (4):
P(2 heads) = 1/4 = 0.25 or 25%.
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A parking lot space is in shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?A.128ft2B.266ft2C.276ft2D.138ft2
Answers
area = length multiplied by width
What is the measure of an interior angle of a 21-gon?162.86°90°360°3420°
Answers
Question:
What is the measure of an interior angle of a 21-gon?
Concept:
Define a 21-gon
A 21-gon is a 21 sided polygon also know as An icosikaihenagon
In the case of this polygon, the value of n is
\(n=21\)We will then calculate the sum of interior angles of a 21-gon and then divide the sum by the number of sides n...
Therefore,
The formula we will use to calculate the measure of an interior angle of a 21-gon is given below as
\(\begin{gathered} \text{meausre of an interior angle=}\frac{\text{sum of interior angles}}{\text{total number of sides}} \\ \end{gathered}\)The formula for the sum of interior angles is given below as
\(\text{sum of interior angle=(n}-2)\times180\)Hence,
We will have
\(\begin{gathered} \text{meausre of an interior angle=}\frac{\text{sum of interior angles}}{\text{total number of sides}} \\ \text{meausre of an interior angle}=\frac{(n-2)\times180^0}{n} \end{gathered}\)Step 2:
Substitute the value of n=21 in the formula above, we will have
\(\begin{gathered} \text{measure of an interior angle}=\frac{(n-2)\times180^0}{n} \\ \text{measure of an interior angle}=\frac{(21-2)\times180^0}{21} \\ \text{measureof an interior angle}=\frac{19\times180^0}{21} \\ \text{measure of an interior angle}=\frac{19\times180^0}{21} \\ \text{measure of an interior angle}=\frac{3420^0}{21} \\ \text{measure of an interior angle}=162.86^0 \end{gathered}\)Hence,
The final answer = 162.86°
x - 3 < 4
graph the inequality
Answers
Answer: See the image below.
If tan A = 3/4, m < A =
Answers
Answer:
2/1 a
Step-by-step explanation:
HELP due in 4 minutes
if f(x)=-2x+4 find 3[f(1)]+3
Answers
So f(1)= -2(1)+4= 2
Then sub that number into 3(f(1))+3
There ya go :)
Change the subject of the formula x = 3y + 6p to
р
Help please
Answers
Answer:
p=x-3y/6
Step-by-step explanation:
x=3y+6p
x-3y=6p
divide both sides by 6
P=x-3y/6
A 13 km stretch of road needs repairs. Workers can repair 3 1/2km of road per week.
How many weeks will it take to repair this stretch of road?
Answers
The workers would need 3.71 weeks to repair the road.
A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules
Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.
To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:
13 ÷ 3.5
= (13 x 10)/35
= 130/ 35
= 3.71
Therefore the workers would need 3.71 weeks to repair the road.
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Pet Products Company uses an automated process to manufacture its pet replica products. For June the company had the following activities: Beginning work in process inventory 4,500 items,1/4 complete Units placed in production 15,000 units Units completed 17,500 units Ending work in process inventory 2.000 items.3/4 complete Cost of beginning work in process P5,250 Direct material costs, current P16,500 Conversion costs,current P23,945 The company uses FIFO Method Direct materials are placed into production at the beginning of the process and conversion costs are incurred evenly throughout the process. Required: 21.Calculate the Equivalent Units of Production-Conversion Cost.= 22.Calculate for the total material cost per unit = 23. Calculate for the total manufacturing cost per unit = 24.How much is the total cost for Started and Completed 25. How much is the total cost for Work in Process, Ending Inventory
Answers
The Equivalent Units of Production for conversion costs is 16,750 units. The total material cost per unit is P0.94. The total manufacturing cost per unit is P2.59. The total cost for Started and Completed is P47,680. The total cost for Work in Process, Ending Inventory is P5,180.
21. The Equivalent Units of Production-Conversion Cost = 16,750 units.
22. The total material cost per unit = P0.94.
23. The total manufacturing cost per unit = P2.59.
24. The total cost for Started and Completed = P47,680.
25. The total cost for Work in Process, Ending Inventory = P5,180.
To calculate the required values, we'll use the FIFO method.
21. Equivalent Units of Production-Conversion Cost:
Equivalent Units of Production = Units completed + (Ending work in process inventory * Degree of completion)
Equivalent Units of Production = 17,500 + (2,000 * 3/4)
Equivalent Units of Production = 17,500 + 1,500
Equivalent Units of Production = 19,000 units
22. Total Material Cost per Unit:
Total Material Cost per Unit = Total material costs / Equivalent Units of Production
Total Material Cost per Unit = P16,500 / 17,500
Total Material Cost per Unit = P0.94
23. Total Manufacturing Cost per Unit:
Total Manufacturing Cost per Unit = (Total material costs + Conversion costs) / Equivalent Units of Production
Total Manufacturing Cost per Unit = (P16,500 + P23,945) / 17,500
Total Manufacturing Cost per Unit = P40,445 / 17,500
Total Manufacturing Cost per Unit = P2.59
24. Total Cost for Started and Completed:
Total Cost for Started and Completed = Units completed * Total Manufacturing Cost per Unit
Total Cost for Started and Completed = 17,500 * P2.59
Total Cost for Started and Completed = P45,325
25. Total Cost for Work in Process, Ending Inventory:
Total Cost for Work in Process, Ending Inventory = Ending work in process inventory * Total Manufacturing Cost per Unit
Total Cost for Work in Process, Ending Inventory = 2,000 * P2.59
Total Cost for Work in Process, Ending Inventory = P5,180
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Plzz what the answer I’m stuck
Answers
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
Which lines must be parallel?
Answers
Answer:
The answer is option A) r and s