9514 1404 393
Answer:
A) y = -3x +7
B) y = (7/3)x
Step-by-step explanation:
Maybe you want the equations of the lines.
Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.
A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3
b = 7
So, the equation y = mx+b is ...
y = -3x +7
__
B) m = (7 -0)/(3 -0) = 7/3
b = 0
The equation is ...
y = (7/3)x
Ling is a camp counselor at a local summer camp. She is in charge of the weekly craft activity
for 40 campers. She plans to make fabric-covered frames that each require 1/6 yard of fabric.
The camp director gave her 6 2/3 yards of fabric remnants for this project. Does Ling have
enough fabric for her craft activity?
She has the exact amount of fabric that she needs for this project.
Does Ling have enough fabric for her craft activity?
We know that she is in charge of 40 campers, and she wants to make fabric-covered frames, such that each one needs 1/6 yards of fabric.
We know that he has a total of 6 + 2/3 yards to do this, and we need to see if that is enough.
Now, for each one of the 40 campers she needs 1/6 yards, so the total amount she needs is given by the product:
T = 40*(1/6 yards) = 40/6 yards = (36 + 4)/6 yards = (6 + 4/6) yards
T = (6 + 2/3) yards
So she has the exact amount of fabric that she needs for this project.
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Find the missing angle
A box contains 8 cups of raisins Marco needs 1/3 cup of raisins to make 1 bag of snacks mix how many bags of snack mix can Marco make with 8 cups of raisins
Answer: 24
Step-by-step explanation:
24/3=8
what is solution set for 2x2+15=-11x?
A{2.5,3} C{-3,-2.5}
B[1.5,5} D{-5,-1.5}
Answer:
C{-3,-2.5}
Step-by-step explanation:
Brainliest pls
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?
Answer Choices:
A: 1
B: 5
C: 1.6
D: 2
Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:
A: 1.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.
Hence, the percentage is given by:
P = 1/100 x 100% = 1%.
Which means that option A is correct.
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Which statement about the function represented by this graph is true?
Step-by-step explanation:
There is no options but I think the graph equation is
\(f(x) = \sqrt{x} + 2\)
\(\sqrt[4]{5x/8y}\)i asked my teacher and she said this "Hi there. separate the radicals - numerator and denominator first. Then, you'll need to make "8" into 2^3. You'll want to create a group of 4 for both the 2 and the y in the denominator, because your index is "4". So, you'll need one more "2" and "y^3". Then you multiply top and bottom by the 4th root of 2y^3 and simplify from there." can you show me what to do
Answer: \(\frac{\sqrt[4]{10xy^3}}{2y}\)
where y is positive.
The 2y in the denominator is not inside the fourth root
==================================================
Work Shown:
\(\sqrt[4]{\frac{5x}{8y}}\\\\\\\sqrt[4]{\frac{5x*2y^3}{8y*2y^3}}\ \ \text{.... multiply top and bottom by } 2y^3\\\\\\\sqrt[4]{\frac{10xy^3}{16y^4}}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{16y^4}} \ \ \text{ ... break up the fourth root}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{(2y)^4}} \ \ \text{ ... rewrite } 16y^4 \text{ as } (2y)^4\\\\\\\frac{\sqrt[4]{10xy^3}}{2y} \ \ \text{... where y is positive}\\\\\\\)
The idea is to get something of the form \(a^4\) in the denominator. In this case, \(a = 2y\)
To be able to reach the \(16y^4\), your teacher gave the hint to multiply top and bottom by \(2y^3\)
For more examples, search out "rationalizing the denominator".
Keep in mind that \(\sqrt[4]{(2y)^4} = 2y\) only works if y isn't negative.
If y could be negative, then we'd have to say \(\sqrt[4]{(2y)^4} = |2y|\). The absolute value bars ensure the result is never negative.
Furthermore, to avoid dividing by zero, we can't have y = 0. So all of this works as long as y > 0.
Answer plz. Give an explanation so I know ur not just getting points so I dont report. Thank you!!!!......
Answer:
B.
Step-by-step explanation:
Because, that's how you find it.
1.5 = 2p
/2 /2
0.75=p
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.28 cm.(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.).................. cm2(b) What is the relative error? (Round your answer to four decimal places.).....................What is the percentage error? (Round your answer to two decimal places.)................ %
The maximum error in the calculated area of the disk is 26.39 cm². The percentage error is 3.73%. (Round your answer to two decimal places.)
The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.28 cm.
Use differentials to estimate the maximum error in the calculated area of the disk.
We know that the formula for the area of a circle is given by:
A = πr²
where r is the radius of the circle.
Using differentials, we have:
dA = 2πrdr
Substituting the given values:
r = 15 cm and dr = 0.28 cmdA = 2π(15)(0.28)dA ≈ 26.39 cm²
Therefore, the maximum error in the calculated area of the disk is 26.39 cm².
The relative error is given by the formula:
Relative error = (Error in measurement / Actual value) × 100%
The actual value of the area of the disk is given by:
A = π(15)²A = 706.86 cm²
Substituting the values we calculated earlier, we have:
Relative error = (26.39 / 706.86) × 100%
Relative error ≈ 3.73%
Therefore, the relative error is approximately 3.73%.
The percentage error is the same as the relative error, which is 3.73%.
Therefore, the percentage error is 3.73%.
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What is the image of (-1,9) after a dilation by a scale factor of 2 centered at the origin?
Answer:
\(A' = (-2,18)\)
Step-by-step explanation:
Given
\(A = (-1,9)\)
\(k = 2\)
Required
The image
Let the point be called A, such that the image is A'.
A' is calculated as:
\(A' = k * A\)
This gives:
\(A' = 2 * (-1,9)\)
\(A' = (-2,18)\)
The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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At a real estate agency, an agent sold a house for $361,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$23,465
$4,693
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
6.5% of $361,000 = 0.065 × $361,000 = $23,465
20% of $23,465 = 0.2 × $23,425 = $4,693
What is the y coordinate of the point that divides the directed line segment from j to k into a ratio of 2 to 3
Answer:
y = \(y_{1}\) + rise * 2/5
Step-by-step explanation:
I don’t know how to do this problem help me!!
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
The data given represents the height of basketball players, in inches, on two different girls' teams.
Super Stars
66 66 66
63 63 63
65 65 65
64 64 64
58 58 58
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Champs, with a median of 67 inches
The Super Stars, with a mean of about 60.8 inches
The Champs, with a mean of about 66.4 inches
The Super Stars, with a median of 63 inches
Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.
What are the measures of center?The three typical measures of center are the mean, the median, and the mode.
The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.
The median is the middle value of the data set arranged in descending or ascending order.
The mode refers to the value that occurs most in the data set.
Super Stars66 66 66 = 198
63 63 63 = 189
65 65 65 = 195
64 64 64 = 192
58 58 58 = 174
Total = 948
Mean = 63.2 (948 ÷ 15)
Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)
Champs62 69 65 = 196
68 60 70 = 198
70 58 67 = 195
66 75 70 = 211
69 67 60 = 196
Total = 996
Mean = 66.4 (996 ÷ 15)
Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)
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You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
18 + 9x = 49
with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.
18 + 9(6) \(\neq\) 49
9 x 6 = 54
54 + 18 = 72
you could have enough money in 4 weeks
need help asap please
Answer:
\(\displaystyle yes\)
Step-by-step explanation:
By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.
I am joyous to assist you at any time.
Graph the solution set of the inequality 1/4x less than or equal to -2
Answer:
I think the image above will helps you a lot.
2. Two geometric figures that are proportional in size are
figures.
Answer:
ARTINYA: dua sosok geometris yang ukurannya proporsional adalah gambar...
Using the properties of real numbers (laws of signs) performs the following arithmetic operations.When you buy a $2809 TV on credit, you have to make a $748 advance payment and the rest is paid over 6 months. How much is left to finish paying for the TV?
Real numbers are the normal numbers that we use. They are not imaginary.
When you buy a $2809 TV on credit, it means that the amount that you would have to pay is - 2809.
Given that you have to make a $748 advance payment and the rest is paid over 6 months, the balance that you would have to pay over 6 months is
- 2809 + 748
= - 2061
Therefore, the amount that is left to finish paying for the TV is - $2061
what is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)
Answer:
\(y + 6 = -2 (x-4)\)
Step-by-step explanation:
Point-slope formula is represented by the equation \(y-y_1 = m (x-x_1)\). When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the \(m\), \(x_1\), and \(y_1\) for real values.
The \(m\) represents the slope of the line. Since we know the slope is -2, substitute -2 for \(m\). The \(x_1\) and \(y_1\) represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for \(x_1\) and -6 for \(y_1\). This gives the following answer and equation:
\(y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)\)
Answer:
y=-2x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-2(x-4)
y+6=-2(x-4)
y=-2x+8-6
y=-2x+2
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?
Answer:
24 minutes
Step-by-step explanation:
We use 1/a + 1/b = 1/c
where a and b are the individual times and c is the time together
1/40 + 1/60 = 1/c
Multiply each side by 120c
120c( 1/40 + 1/60 = 1/c)
3c + 2c = 120
5c = 120
Divide each side by 5
5c/5 = 120/5
c = 24
Answer: 24 minutes
Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.
Since Elam can wire a light in 40 minutes, we know that in 1 minute,
Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.
Therefore, in t hours, Elam can wire t/40 of the light.
The same applies for Michael, in t hours, he can wire t/60 of the light.
So to solve the problem, we use the following formula:
Part of job done by Elam + part of job done Michael = 1 job done
The part of the job done by Elam is t/40 and t/60 for Michael.
So we have t/40 + t/60 = 1.
Now multiply both sides by 120 to get 3t + 2t = 120
or 5t = 120 so t = 24.
So it takes 24 minutes if they work together.
Q. Find the value of x.
I need help
Answer:
9
Step-by-step explanation:
Nonsense will be reported!!
With solution.
Hopefully, I have read the problems right. The small writing is slightly blurry.
[1] Both 1 and 2 are equal to 70°
Angle 1 and Angle 2 will be equal to each other because they are vertical angles.
A straight line is 180°, so 180° - 110° = 70°
[2] Both 3 and 4 are equal to 99°
Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.
We can solve for the other two angles by putting them equal to each other since they are also vertical angles.
3x - 15° = 2x + 17°
3x = 2x + 32°
x = 32°
-
2x + 17°
2(32)° + 17°
64° + 17°
81°
Also again, a straight line is 180°. 180° - 81° = 99°
[3] This one has too many subparts for Brainly.
As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.
Maximizing Profit: Tutorial
? Question
Buzz and Hover Electronics is a company that sells a variety of flying drones. For one model of drone, the cost and revenue
can be described by the given functions and graphs, where x is the number of drones.
R(x) = 180x
C(x) = 65x+13,800
Total (dollars)
+40,000
+35,000
+30,000
+25,000
+20,000
+15.000
D
+10,000
The company cannot maximize profit because the cost of producing outweighs the revenue or profit made
How should they maximize profit?
The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:
P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800
To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.
The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.
Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.
In other words, the company will lose money for each drone produced, so it should not produce any at all.
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Describe and correct the error a student made when graphing y+5=-3/4(x-8).