Answer: y= 1/4 x + 500
Step-by-step explanation:
The slope is the difference in y-values divided by difference in x-values plus the starting constant value (500 on the graph)
700 - 600 is the difference in y-values = 100
800 - 400 is the difference in x-values = 400
100/400 = 1/4
y = x/4 +500
Is the point (20 13) on this line? Explain your reasoning.
In order to determine if the point (20,13) is on the line, it is necessary to write the equation of the line.
The general form of a linear equation is:
y = mx + b
where b is the y-intercept and m is the slope. Y-intercept is the value of y when x = 0. You can observe in the graph that b = 3.
The slope m is conputed by using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1,y1) and (x2,y2) are two points of the line. Use the points (0,3) and (6,6), you can select any other two points. Replace these values into the formula for m:
\(m=\frac{6-3}{6-0}=\frac{3}{6}=\frac{1}{2}\)Then, the equation of the line is:
\(y=\frac{1}{2}x+3\)Now, replace the value of x = 20 in the previous equation, if y = 13, then the point (20,13) in on the line:
\(\begin{gathered} y=\frac{1}{2}(20)+3 \\ y=10+3 \\ y=13 \end{gathered}\)Hence, the point (20,13) is on the line
I need #1 please help!!
We are given that ∠E and ∠B are right angles and C is the midpoint of AD.
Angle BCA is congruent to Angle DCE (Vertical Angles are Congruent) and Triangle ABC is congruent to DEC (SAS (side-angle-side)).Vertical angles are angles across from each other when two lines intersect. Vertical angles are always congruent. ACB and DEC are a pair of vertical angles, and BCD and ACE are a pair of vertical angles.Side-Angle-Side (SAS) is a congruence shortcut for triangles. When two pairs of congruent sides an one pair of congruent angles (between the sides) are in two triangles, we can assume the triangles are congruent.please solve! thank you so much.
A - Growth (25%)
B- Growth (75%)
C - Growth
D - Growth (100%)
E - Growth (99%)
What is a growth or decay function?An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
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The scale on a map is 1 : 25000
How many kilometres on the ground is represented by 7 cm on the map?
Answer:
175000 km
Step-by-step explanation:
the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000
What kind of triangle is this please help me find the relationship and value please.
Answer: x=14°
Step-by-step explanation:
All angles of a triangle added together is 180°. So we can add the angles together.
7x-11+5x-2+2x-3=180 [combine like terms]
14x-16=180 [add both sides by 16]
14x=196 [divide both sides by 14]
x=14
Therefore, x=14°.
For each type of effect listedâmain effects, two-way interactions, and three-way interactionsâidentify the maximum number of possible effects that could be tested in a 2 Ã 2 Ã 2 factorial design. - 3 main effects- 1 three- way interaction- 3 two-way interactions
The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.
In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:
There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.
Two-way interactions:
There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.
These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:
There is 1 possible three-way interaction that can be tested in this design: AxBxC.
This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.
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2x2 + 6x - 25 = 0
Can someone help me solve this?
Answer:
Hope this helped you a little
Step-by-step explanation:
A babysitter charges six dollars an hour to watch children but requires a four-hour minimum per job. The cost of the babysitter can be written as y = 62. What is the applied domain if someone chooses to hire the babysitter?
Com
Answer:
{x | x ≥ 4}
Step-by-step explanation:
NOTE: There seems to be a mistake in the question.
In your question, it is stated that y = 62, I think it is supposed to be y = 6x where x is the number of hours
Be sure to check check next time and attach the complete picture.
Gn: y = 6x, where x is the number of hours
We know that the min number of hours per job is 4
so, x ≥ 4
Therefore, the domain is:
{x | x ≥ 4}
the ratio of pencils to erasers is 4:1 if there are 20 pencils how many earsers are there
There are 5 erasers to accompany the 20 pencils based on the given ratio.
If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.
The proportion can be written as:
pencils/erasers = 4/1
Given that there are 20 pencils, we can substitute this value into the proportion:
20/erasers = 4/1
To solve for erasers, we can cross-multiply:
\(20*1=4*erasers\)
\(20 = 4*eraser\)
Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.
Dividing both sides by 4:
20/4 = erasers
5 = erasers
Therefore, there are 5 erasers.
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16. Find the area of the sector.
The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.
What is the area of the sector?A sector of a circle is simply part of a circle made up of an arc and two radii.
The area of a sector of a circle can be expressed as:
Area = (θ/360º) × πr²
Where θ is the sector angle in degrees, and r is the radius of the circle.
From the image:
Measure of central angle θ = 60 degrees
Radius r = 8 units
Plug these values into the above formula and solve for the area:
Area = (θ/360º) × πr²
Area = (60°/360°) × π × 8²
Area = 1/6 × π × 64
Area = 1/6 × π × 64
Area = 33.5 sqaure units.
Therefore, the area is approximately 33.5 sqaure units.
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Which of the following represents the lowest speed in miles per hour?
6 miles in 18 hour
11 miles in 14 hour
16 miles in 38 hour
20 miles in 12 hour
Answer:
the one with the 6.....?...........
A frustum is made by removing a small cone, with a radius of 2 mm and a
perpendicular height of 5 mm, from a similar, larger cone with a radius of
32 mm.
What is the perpendicular height of the frustum?
The perpendicular height of the frustum is 25 mm.
The larger cone has a radius of 32 mm and let its perpendicular height be h. The small cone removed from it has a radius of 2 mm and a perpendicular height of 5 mm. The frustum can be obtained by subtracting the volume of the small cone from the volume of the larger cone.
The volume of the larger cone is given by V1 = (1/3)πr1^2h, where r1 = 32 mm and h = h. The volume of the small cone is given by V2 = (1/3)πr2^2h2, where r2 = 2 mm and h2 = 5 mm.
The volume of the frustum is given by V1 - V2 = (1/3)πr1^2h - (1/3)πr2^2h2.
Using the values given, we get:
V1 - V2 = (1/3)π(32^2)h - (1/3)π(2^2)(5)
V1 - V2 = (1/3)π(1024h - 20)
The frustum has a height h' which can be obtained using the formula for the volume of a frustum:
Vf = (1/3)πh'(r1^2 + r2^2 + r1r2)
Substituting the values given and equating this with V1 - V2, we get:
(1/3)πh'(32^2 + 2^2 + 32×2) = (1/3)π(1024h - 20)
Solving for h', we get:
h' = (1024h - 20)/(32^2 + 2^2 + 32×2)
Substituting the values given, we get:
h' = (1024×h - 20)/(1056)
Since the frustum is the larger cone with a smaller cone removed, the perpendicular height of the frustum is h - h2 = h - 5.
Substituting h' in terms of h, we get:
h - 5 = (1024×h - 20)/(1056)
Solving for h, we get:
h = 25 mm
Therefore, the perpendicular height of the frustum is 25 mm.
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Help me please! I’m stuck
Answer:
123⁰
Step-by-step explanation:
This type of angle is a vertical angle. Vertical angles have the same measurements on the opposite side. 123⁰ is on one side and the opposite of the vertical angle is the same measurement of 123⁰.
Answer: 123
Step-by-step explanation: because x is between the two lines that make up 123 so therefore making x the same
Please help me and explain thank u
The solution to this expression (√5 - 3√2)(√5 + 3√2) is equal to -13.
What is a difference of two (2) squares?In Mathematics and Geometry, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:
a² - b² = (a + b)(a - b).
Where:
a and b represent numerical values (numbers or numerals).
Based on the information provided, we have the following mathematical expression:
(√5 - 3√2)(√5 + 3√2);
By comparison, we have the following:
(√5 - 3√2)(√5 + 3√2) = (a + b)(a - b)
a² - b² = (√5)² - (3√2)²
a² - b² = 5 - 18
a² - b² = -13.
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please help!! singing star Bitsy carlyle isnt as popular as she used to be. At her latest concert, she was only able to sell 910 tickets for a total of $15,620. If regular seats cost $18.50 and mezzanine seats cost $16.25, how many mezzanine tickets were sold?
The number of mezzanine tickets that were sold is: 540
How to solve Simultaneous Linear Equations?Let the regular seats be x
Let the mezzanine seats be y
Thus:
x + y = 910 -----(1)
18.50x + 16.25y = 15620 -----(2)
From eq 1,
y = 910 - x
Thus:
18.50x + 16.25(910 - x) = 15620
18.50x + 14,787.5 - 16.25x = 15620
2.25x = 15620 - 14,787.5
2.25x = 832.5
x = 832.5/2.25
x = 370 tickets
Thus:
y = 910 - 370
y = 540 tickets
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A medical procedure cost $4500. If your insurance covers 7/8 of the cost, what amount of the procedure does the insurance cover?
If the medical procedure costs $4500 and the insurance covers 7/8 of the cost, then the amount of the procedure that the insurance covers can be calculated as:
Amount covered by insurance = (7/8) x ($4500)
We can simplify this expression by first finding the value of 7/8 as a decimal:
7/8 = 0.875
Substituting this value back into the expression, we get:
Amount covered by insurance = (0.875) x ($4500)
Simplifying this expression, we get:
Amount covered by insurance = $3,937.50
Therefore, the insurance covers $3,937.50 of the procedure cost.
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Which test statistic should be used when computing a confidence interval given only the number in a sample, the population standard deviation and sample mean?.
Z- test statistics should be used when computing a confidence interval given only the number in a sample, the population standard deviation and the sample mean.
What is the z- test?A z-test can be used to assess whether or not the means of two populations differ if the data has a normal distribution. For this reason, it is essential to set up the null hypothesis, and the alternative hypothesis, and determine the z-test statistic's value. The choice criterion is founded on the z critical value.
The z-test formula compares the z statistic with the z critical value to see if there is a difference between the means of the two populations. In hypothesis testing, the z critical value delineates the acceptance and rejection regions of the distribution graph. If the test statistic falls within the rejection region, the null hypothesis can be rejected; otherwise, it cannot.
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The ordered pairs in the table below represent a linear function.
х
6
9
y
2
8
What is the slope of the function?
1
1
O
O 2
O 4
E the anwser is c
Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Step-by-step explanation:
Yes, one pair of opposite sides could measure 10 inches. and the other pair could measure 13 inches
Answer:
A
Step-by-step explanation:
Trust the process
Point T is located at (1,4) on the coordinate plane. Point T is reflected over the x-axis to create point T.’ Point T’ is then reflected over the y-axis to create point T’’. What ordered pair describes the location of T’’?
The ordered pair that describes the location of T’’ include the following: (-1, -4).
What is a reflection?In Geometry, a reflection over the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the x-axis to the coordinates of this triangle the image coordinates include the following:
(x, y) → (x, -y)
Ordered pair T = (1, 4) → Ordered pair T' = (1, -(4)) = (1, -4).
By applying a reflection over the y-axis to the coordinates of the image coordinates include the following:
(x, y) → (-x, y)
Ordered pair T' = (1, -4) → Ordered pair T' = (-1, -4) = (-1, -4).
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find the value of x (image below)
Answer:
x=35
Step-by-step explanation:
two hundred and seventeen thousandths in decimal form
Answer:
0.217
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
200.017
Thousandths is the third digit after the decimal.
20 years from now Shrisha age will be three times her present age what is shirsha present age
20×3=60
the present age of shirsha
Answer:
Let Shrisha's present age be x
According to question ,
After 20 years ,
Shrisha's age will be 3 times her present age.
\(\therefore \: 20 + x = 3x \\ \longrightarrow \: 3x - x = 20 \\ \longrightarrow \: 2x = 20 \\ dividing \: both \: sides \: by \: 2 \\ \\ \longrightarrow \: \cancel \frac{2x}{2} = \cancel \frac{20}{2} \\ \\ \longrightarrow \:\boxed{ x = 10}\)
hence , Shrisha's present age is 10 years.
hope helpful! :)
Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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4x + 6 = -x +1
what's x?
Answer:
x=-1
Step-by-step explanation:
Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:
Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.
i. FCFS
ii. SOT
iii. EDD
iv. CR
v. From the list (i to iv above) recommend the best rule to sequence the jobs
The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.
The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.
In this case, applying the EDD rule, the sequence of jobs would be as follows:
D (Due on Friday 10th June)
F (Due on Tuesday 14th June)
E (Due on Wednesday 15th June)
C (Due on Friday 17th June)
G (Due on Thursday 16th June)
H (Due on Saturday 18th June)
A (Due on Monday 13th June)
B (Due on Monday 20th June)
By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.
Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.
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Suppose vanguard brokerage services developed new software to increase their speed of execution rating. if the new software is able to increase their speed of execution rating from the current value of to the average speed of execution rating for the other brokerage firms that were surveyed, what value would you predict for the overall satisfaction rating?
It's generally reasonable to assume that enhancing the speed of execution can positively impact customer satisfaction. Quicker order executions can lead to reduced slippage, improved trade efficiency, and a better overall trading experience. Customers often value fast and reliable execution when it comes to brokerage services.
To determine the potential impact on overall satisfaction rating, several factors would need to be considered, including but not limited to:
Other aspects of the brokerage service: Speed of execution is just one aspect of brokerage services. Factors like customer support, platform usability, account management features, pricing, research tools, and investment options also contribute to overall satisfaction. Improving one aspect may not guarantee a significant increase in overall satisfaction if other areas remain unchanged.
Individual preferences and priorities: Different customers prioritize different features in their brokerage services. While some might highly value speed of execution, others may focus on different aspects such as cost-effectiveness, available investment options, or educational resources. The impact on overall satisfaction would depend on how important speed of execution is to the customer base as a whole.
Competitors' performance: The competitiveness of the market plays a role in shaping customers' expectations. If the average speed of execution rating for other surveyed brokerage firms is relatively high, matching that average may positively impact satisfaction. However, if the sector's overall speed of execution rating is generally low, merely reaching the average might not suffice to significantly boost satisfaction.
It's essential for brokerage firms to consider these factors comprehensively and conduct customer surveys or market research to assess the potential impact on overall satisfaction accurately.
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Greg wants to buy four pieces of candy. They cost $1.37, $0.69, $0.89, and $1.15.
If he pays with $5.00, how much change should Greg get back?
Answer:
$0.90
Step-by-step explanation:
5 - (1.37+.69+.89+1.15)
5-4.10 = .90
Answer:
$1.90!!!!!!!!!
Step-by-step explanation:
=) your welcome
What is the measure of an interior angle of a regular octagon? O A) 120° OB) 135° O C) 145° OD) 160
Answer:
B = 135
Step-by-step explanation:
An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:
135 × 8 = 1080.
Hope this helped.
find the volume pleaseeee
Answer:
103.67km³
Step-by-step explanation:
The formula for the volume of a cone is
\( \frac{1}{3} \pi \: {r}^{2} h\)
Plugging in the values of h=11km, and r=6/2=3km
we get:
\( \frac{1}{3} \pi \times 9 \times 11 = 99\pi \div 3 = 33\pi\)
or: 103.67, rounded would be 104km³
Answer:
The volume of the cone is 414.69 km^3.
Step-by-step explanation:
I hope it helps:)