Answer:
(3, 0 ) and (0, 5 )
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
5x + 3(0) = 15
5x = 15 ( divide both sides by 5 )
x = 3
Then x- intercept = (3, 0 )
To find the y- intercept , let x = 0 in the equation abd solve for y
5(0) + 3y = 15
3y = 15 ( divide both sides by 3 )
y = 5
Then y- intercept = (0, 5 )
A few managers in the planning department think that the optimal policy changes its workforce level several times in a year because the physical capacity of the Stratford plant is too tight (Currently at 13,000 units per month). To mitigate such disruptive hiring/lay-off, a few managers and labor union insist that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. They argue that this one-time investment will pay itself off within one year with reduction in head-counts, new hires, and lay-offs. Do you agree?
MacPherson company is being faced with a situation of tight capacity at the Stratford plant which is currently at 13,000 units per month. There are two recommendations on how the company can mitigate the problem. The first recommendation is that the company should change its workforce level several times in a year while the second recommendation is that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. The labor union and some managers insist that the company should invest in increasing the production capacity instead of implementing the first option as it would lead to disruptive hiring and layoff.The recommendation to increase the production capacity to 15,000 units per month with a $0.5M investment will pay itself off within one year with the reduction in headcounts, new hires, and layoffs. Yes, I agree with the recommendation. Here is a detailed explanation:Investment in production capacity will reduce the per-unit cost of production which will allow the company to make more profits on each unit produced. With the increase in production capacity, the company will be able to produce more goods with the same amount of resources, and this will lead to a reduction in production costs. The reduction in production costs means that the company will be able to sell its goods at a lower price which will, in turn, increase demand for the products.With the increased demand for the product, the company will sell more and make more profits. The company will be able to meet the market demand for the product without any interruption which means there will be no need for hiring or layoffs. This reduction in hiring and layoffs will reduce the disruption that may be caused in the production process. The reduction in hiring and layoffs will also lead to a reduction in the cost of recruitment and training of new staff.The investment of $0.5M will pay for itself within one year because the reduction in the cost of production, hiring, and layoffs will offset the initial investment.
Urgent! help! urgent!
andrew pays $15 for a haircut. he leaves a 20% tip. what is the total amount andrew pays for the haircut, including a tip?
i will give you a branlist if you know the answer! dont spam!
To find Andrew's total haircut payment, add the haircut cost to the tip amount, multiplying by 20%, and add the two amounts. The total amount is $18.
To find the total amount Andrew pays for the haircut, including the tip, we need to add the cost of the haircut to the amount of the tip.
First, let's calculate the amount of the tip. Andrew leaves a 20% tip, which means he pays 20% of the cost of the haircut as a tip. To find this amount, we multiply the cost of the haircut ($15) by 20% (0.20).
$15 * 0.20 = $3
So, the tip amount is $3.
To find the total amount Andrew pays, we need to add the cost of the haircut ($15) to the tip amount ($3).
$15 + $3 = $18
Therefore, the total amount Andrew pays for the haircut, including the tip, is $18.
I hope this helps! Let me know if you have any other questions.
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Mrs. Thompson loves to send money to her 6 grandchildren for the holidays. She sent a total of $30.00 to her grandchildren last year. She gave an equal amount to each grandchild. How much money did each grandchild receive for the holidays last year?
Answer:
$5 for each grandchildren
Step-by-step explanation:
Since she gave a total of 30 dollars and has 6 grandchildren, then 30/6 = 5
Answer:
5
Step-by-step explanation:
30 divided by 6 = 5.
For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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find the missing angle measures.
Y = 63
Z = ?
X = ?
Can someone tell me the answer piz
Answer:
look at the photo I have sent
you wearing a mask right now???
Find the measure of exterior angle A.
Answer:
40* degress angled
Step-by-step explanation:
Answer:
I believe the answer is a 40 degree angle
Step-by-step explanation:
it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side \(\overline {AD}\) on ΔABD are congruent to ∠CBD, ∠BDC, and
segment \(\overline {CD}\) on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line \(\overline {AC}\) = \(\overline {BD}\)
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement \({}\) Reason
\(\overline {BD}\) is perpendicular bisector of \({}\)\(\overline {AC}\) Given
\(\overline {AD}\) = \(\overline {CD}\) \({}\) Definition of bisected line \(\overline {AC}\)
∠BDC = 90° \({}\) \(\overline {BD}\) is perpendicular \(\overline {AC}\)
∠BDA = 90° \({}\) \(\overline {BD}\) is perpendicular \(\overline {AC}\)
∠ABD ≅ ∠CBD \({}\) Given on the diagram
ΔABD ≅ ΔCBD \({}\) by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
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what is this can you help please
x = 65
y = 71
z = 44
x is 65 because the two angles are vertices.
z is 44 because the unknown angle beside z and the vertice of x are corresponding angles.
So the unknown angle is 65
therefore, 180 - 71 - 65 = 44
finding y is easy now because two angles of the triangle are already figured out
180 - x - z = y
180 - 65 - 44 = y
y= 71
Hope this helps, I suck at explaining and also bad at English cuz I'm asian.
What is 3 1/3 + 4 4/6=?
Answer:
8
Add the fractions.
3 1/3 + 4 4/6 = 8.
The answer is 8.
Answer:
the answer is 8
Step-by-step explanation:
1/3 plus 4/6 is 1
1+3+4 is 8
Hey can you please help me fast!!
Answer:
- 3/5
Positive
Step-by-step explanation:
when plotting on a number line, you will start with the first term listed in the equation, in this case it is -3/5
then, if the next term is positive, you will move to the right (aka positive direction), but if the next term is negative then you will move to the left (aka negative direction)
in this question, the next term is positive, so you will move in the positive direction
Subtract 17a²b from 2a²b
Answer:
-\(15 {a}^{2}b\)
Select one of the following functions to match the graph.
A. y = (7) x
B. y = (7)-x
C. y = (-7) x
D. y = (-7)-x
Answer:
B
Step-by-step explanation:
The explanation is attached below.
How can you tell from a boxplot if the distribution is skewed right? Choose the correct answer below. A. The median is to the right of the center of the box, and the left whisker is substantially longer than the right whisker. B. The median is to the right of the center of the box, and the right whisker is substantially longer than the left whisker C. The median is to the left of the center of the box, and the left whisker is substantially longer than the right whisker. D. The median is to the left of the center of the box, and the right whisker is substantially longer than the left whisker
The correct answer is B. The median is to the right of the center of the box, and the right whisker is substantially longer than the left whisker.
A boxplot is a visual representation of the distribution of data. The boxplot is composed of a box and two whiskers. The box represents the middle 50% of the data, with the median indicated by a line inside the box. The whiskers represent the lower and upper 25% of the data.
If the distribution is skewed right, this means that the data is clustered on the left side and there are a few data points on the far right side. In a boxplot, this would be represented by the median being to the right of the center of the box, and the right whisker being substantially longer than the left whisker. This indicates that there are a few data points on the far right side that are causing the distribution to be skewed right.
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Answer
How to find the range?
Step-by-step explanation:
The upper extreme & lower extreme
SUBTRACT
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2.If there were 1773 yes votes, what was the total number of votes?
Answer:
2955
Step-by-step explanation:
The ratio of yes votes to no votes is 3:2.
The total ratio is:
3 + 2 = 5
Let the total number of votes be x.
The number of yes votes was 1773. This means that:
3/5 * x = 1773
3x = 1773 * 5
x = (1773 * 5) / 3
x = 2955 votes.
There were 2955 votes in total.
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 324 and the standard deviation was 46 . If the board wants to set the passing score so that only the best 90% of all applicants pass, what is the passing score? Assume that the scores are normally distributed.
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 324 and the standard deviation was 46.
We have to find the passing score so that only the best 90% of all applicants pass. Let's proceed and solve this problem.Therefore, the z-value for the 90th percentile is 1.28.Using the z-score formula, the passing score can be found as follows:z = (x - μ) / σ1.28 = (x - 324) / 46
We can solve for x by cross multiplying and solving for x:x - 324 = 58.88x = 382.88The passing score is 382.88. Therefore, the answer to the given problem is 382.88.
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witch product is less than
\( \frac{5}{8} \)
Answer:
Everything that is lower than 5/8.Step-by-step explanation:
It's pretty obvious.
You need to add 2 fractions up.
If it's lower than 5/8, then you are correct.
Find the differential of each function.
(a) y = tan(√3t) dy = ____
(b) y = 5-v² / 5+v²
dy = ____
(a) To find the differential of the function y = tan(√3t), we can differentiate it with respect to t and then multiply by dt.
dy = d(tan(√3t))
= sec²(√3t) * d(√3t)
= √3 * sec²(√3t) * dt
Therefore, dy = √3 * sec²(√3t) * dt.
(b) To find the differential of the function y = (5 - v²) / (5 + v²), we can differentiate it with respect to v and then multiply by dv.
dy = d((5 - v²) / (5 + v²))
= [(d(5 + v²) * (5 - v²) - (5 - v²) * d(5 + v²))] / (5 + v²)²
= [2v * (5 - v²) - (5 - v²) * 2v] / (5 + v²)²
= [-4v³] / (5 + v²)²
Therefore, dy = -4v³ / (5 + v²)².
These are the differentials for the given functions.
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1. Which function is quadratic?
A 3x – 2y = 5
B 5x2 + x = y - 4
Because the formula of quadratic equations is y = ax² + bx + c where you can see the only equation with the power of two is equation B
Equation B into quadratic equation
5x² + x = y - 4
y = 5x² + x +4
Function 5x² + x = y - 4 is quadratic .
Hence option B is correct .
Given , Linear and Quadratic function.
Standard form of quadratic function : y = ax² + bx +c
a = coefficient of x² .
b = coefficient of x .
c = constant .
Rearranging the function,
5x² + x = y - 4
y = 5x² + x - 4
Comparing the equation with standard form,
a = 5
b = 1
c = -4
Hence option B is correct .
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Mason invests money in an account paying simple interest. He invests $70 and no money is added or removed from the investment. After one year, he has $73.50. What is the simple percent interest per year?
answer: 5%
explanation: subtract the principal from the total amount, then divide the difference by the principal
>> 73.50 - 70 = 3.50
3.50 / 70 = 0.05
0.05 x 100 = 5%
CAN SOMEONE PLS HELP WITH THIS ASAP
Answer:
the second option
Step-by-step explanation:
\( \sin(theta) = \frac{opposite}{hypotenuse} \)
\( \cos(theta) = \frac{adjacent}{hypotenuse} \)
\( \tan(theta) = \frac{opposite}{adjacent} \)
theta = 45°
hypotenuse = 9
opposite = x
find x using the sin formula\( \sin(theta) = \frac{opposite}{hypotenuse} \)
\( \sin(45) = \frac{x}{9} \)
\( \sin(45) \times 9 = x\)
\( \frac{9 \sqrt{2} }{2} = x\)
\(x = \frac{9 \sqrt{2} }{2} \)
Algebra 1 common assessment unit 2-1 SY23
Answer:
\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)
The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?
The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.
The ratio of boy to girl who play kickball at race is 6 to 2
6 boys: 2 girls
Multiply the number of girls by the ratio:
18 girls x (6 boys / 2 girls) = 18 x 3 = 54
Subtract the number of girls from the total to get the number of boys:
54 - 18 = 36
Therefore, there are 12 boys who play kickball at race.
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Jennifer's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
6 senior citizen tickets and 9 student tickets for a total of $147. The school took in $240 on the
second day by selling 12 senior citizen tickets and 12 student tickets. What is the price each of
one senior citizen ticket and one student ticket?
Answer:
one senior citizen ticket costs 11 dollars
one student ticket costs 9 dollars
Step-by-step explanation:
The height y of a ball (in feet) is given by the function
y= -1/12^2+2+4
and x is the horizontal distance traveled by the ball. How high is the ball when it leaves the child’s hand?
Answer:
assuming that the problem was actually
-1/12 x ^ 2 + 2x + 4
height = 16
(12,16)
forty feet (40) feet
vertex = -b/2a = -2/(-1/6) = 12
f(12) = - 144/ 12 + 24 + 4 = -12+ 24 + 4 = 16
Step-by-step explanation:
if f ( x ) = ∫ x 6 f ( t ) d t , where f is the function whose graph is given, which of the following values is largest?
F(0)
F(3)
F(6)
F(9)
F(12)
The largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.
To find the largest value among F(0), F(3), F(6), F(9), and F(12), we need to evaluate the function f(x) = ∫\(x^6\) f(t) dt for each given value of x.
The given function represents the indefinite integral of f(t) with respect to t, where f(t) is the function whose graph is given.
The integral represents the area under the curve of f(t) from 0 to \(x^6\). By evaluating the integral at different values of x, we can find the corresponding values of F(x).
Since the function f(t) is not specified, we cannot determine the exact values of F(0), F(3), F(6), F(9), and F(12) without additional information.
The values of F(x) depend on the specific form and properties of f(t).
To find the largest value among F(0), F(3), F(6), F(9), and F(12), we would need to know the function f(t) and evaluate the integral at each specific value of x.
Without further information, it is not possible to determine which of the given values is the largest.
In summary, the largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.
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the height of basketball players is considered a continuous variable. group of answer choices true false
TRUE: Basketball players' height is seen as a continuous variable.
Explain the term Continuous Random Variable?For any statistical researcher, the precise estimation of random variables including their classification are crucial.For instance, the type of distribution we can employ with a random variable depends on the nature of a random variable.Yes, as lengths are continuous variables, the random variable does indeed refer to length.
It should be noted that a length value may include as many decimal places is necessary without producing an error. A basketball player, for instance, can be 180 cm, 180.9 cm, or 188.99 cm tall.Thus, Basketball players' height is seen as a continuous variable
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What is sec 0 when cot 0 = -4V2? 0 (1,0) [?] [ ] Rationalize the denominator if necessary. sec 0 =
Answer:
\(Sec~ 0=\frac{\sqrt{66} }{8}\)
Step-by-step explanation:
\(Cot~0=-4\sqrt{2}\)
\(Sec~0=\sqrt{33}/4\sqrt{2}\)
\(=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}\)
\(=4\sqrt{66} /32\)
\(= \sqrt{66}/8\)
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
hope it helps...
have a great day!!!
see attached please thank you
After solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°
(B) ∠LMN = 62°
What are angles?When two consecutive lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the point where two points come together.
The Latin word "angulus," which means "corner," is from which the term "angle" originates.
The intersection of two planes also creates angles.
We refer to these as geometric angles.
So, according to the given diagram:
KMN = LMN + 118
180 = LMN + 118
LMN = 180 - 118
LMN = 62°
Now,
6x - 9 + 4x + 7 + 62 = 180
10x + 60 = 180
10x = 180 - 60
10x = 120
x = 120/10
x = 12
Then,
∠L = 4x + 7
∠L = 4*12 + 7
∠L = 55°
Therefore, after solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°
(B) ∠LMN = 62°
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