write y=3/8x-2 in standard form
Answers
Answer:
\(3x+8y=52\)
Graph:
Related Questions
A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 7 cm with a standard deviation of 1.10 cm. For what lengths will a bolt be destroyed?
Answers
Answer:
Any bolt length lesser than 4.90 cm or greater than 9.10 cm will be destroyed
Explanation:
Given that:
Mean length = 7 cm
Standard deviation = 1.10 cm
Any bolt outside 2 standard deviations is to be destroyed
The bolt lengths that will be destroyed is obtained as shown below:
\(\begin{gathered} =\mu\pm n\sigma \\ \mu=7cm \\ n=2 \\ \sigma=1.10cm \\ \text{ } \\ \text{Substitute the variables into the formula, we have:} \\ =7\operatorname{\pm}(2\times1.10) \\ =7\operatorname{\pm}2.10 \end{gathered}\)This therefore means that any bolt length lesser than 4.90 cm or greater than 9.10 cm will be destroyed
What 2 numbers add to the bottom number but also multiplies to be the top.
Answers
For a science project each student needs 5 paper plates. If there are
15 students working on the project, how many paper plates are needed?
Answers
Answer:75
Step-by-step explanation:
since there are 15 students and they each need 5 plates you just do 15x5 and get 75
Last month, ed spent $50 in all. He spent 40% of the money at the movies. How much money did ed spend at the movies?.
Answers
Last month, ed spent $50 in all. He spent 40% of the money at the movies. So $20 Ed spend at the movies.
In the given question we have to find how much money ed spend at the movie.
Last month Ed spend total $50.
He spent 40% of the money at the movie.
Total money spent by Ed last month = $ 50.
Percentage of the money spent at the movies = 40%
Money spend by Ed at the movies=Percentage of the money spent at the movies * Total money spent by Ed last month
Money spend by Ed at the movies= 40% * $50
Money spend by Ed at the movies= 40/100 * $50
Money spend by Ed at the movies= 0.4* $50
Money spend by Ed at the movies= $20
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Harry took out a loan from the bank. the variable ddd models harry's remaining debt (in dollars) ttt months after he took out the loan. d=-200t 9000d=−200t 9000d, equals, minus, 200, t, plus, 9000 how much does harry pay back each month?
Answers
Answer:
Harry has a loan of $9000 in total. Harry obtained a loan from the bank. Explanation Harry's remaining debt, expressed in dollars, is modeled as a function of time t, expressed in months, by the function D(t). The role is played by, This function can be used to determine that $200 is being subtracted each month from the function, meaning Harry is paying $200 toward his loan. Harry has not yet made any payments, therefore we may set t=0 to obtain the total amount of his solo. Therefore, the value of D(t) will reveal the loan's net amount. Harry's borrowing, therefore, equals to $9000.
What is the sign of f on the interval -5/2 < x <4
Please help ASAP
Answers
Answer:
I believe the answer is C.
Step-by-step explanation:
brainliest?? if correct
Answer:
:> hello friend
Step-by-step explanation:
Whats the value of the expression?
Answers
Answer:
I can not help you
Step-by-step explanation:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Answers
The slope of the equation is -2/3, and the y-intercept is 490.
To change the equation 2x + 3y = 1,470 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to solve for y.
Starting with the given equation:
2x + 3y = 1,470
First, let's isolate y by subtracting 2x from both sides of the equation:
3y = -2x + 1,470
Next, divide both sides of the equation by 3 to solve for y:
y = (-2/3)x + 490
Now we have the equation in slope-intercept form, y = (-2/3)x + 490.
From this form, we can identify the slope and y-intercept:
The slope (m) is the coefficient of x, which is -2/3.
The y-intercept (b) is the constant term, which is 490.
Therefore, the slope of the equation is -2/3, and the y-intercept is 490.
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helpppppppppp meeeeeeeeeee 50points
Answers
Answer:
1) 48
2)44
Step-by-step explanation:
Answer: 48 44 Are The Correct Answers
Step-by-step explanation:Hope This Helps
How much more is the future value of $500 in 41 years with compounding vs simple interest with an annual rate of 8.2%?
Answers
The future value of $500 in 41 years with compounding at an annual rate of 8.2% is approximately $4,043.28.
In comparison, with simple interest, the future value would be $1,310. This means that the future value with compounding is approximately $2,733.28 more than with simple interest.
The difference in the future value of $500 with compounding versus simple interest over 41 years, we can use the formulas for compound interest and simple interest.
The formula for compound interest is:
Future Value (Compound Interest) = Present Value × (1 + Interest Rate)^n
The formula for simple interest is:
Future Value (Simple Interest) = Present Value × (1 + Interest Rate × n)
Given:
Present Value = $500
Interest Rate = 8.2% (0.082)
Number of years = 41
First, let's calculate the future value using compound interest:
Future Value (Compound Interest) = $500 × (1 + 0.082)^41
Next, let's calculate the future value using simple interest:
Future Value (Simple Interest) = $500 × (1 + 0.082 × 41)
Now, we can find the difference between the two future values:
Difference = Future Value (Compound Interest) - Future Value (Simple Interest)
Using the given values, we can calculate the future value of $500 with compounding and simple interest over 41 years.
Using the formula for compound interest, we have:
Future Value (Compound Interest) = $500 × (1 + 0.082)^41
Calculating this expression gives us:
Future Value (Compound Interest) ≈ $4,579.94
Using the formula for simple interest, we have:
Future Value (Simple Interest) = $500 × (1 + 0.082 × 41)
Calculating this expression gives us:
Future Value (Simple Interest) ≈ $1,441.00
Finally, we find the difference between the two future values:
Difference = Future Value (Compound Interest) - Future Value (Simple Interest)
Difference ≈ $4,579.94 - $1,441.00
Difference ≈ $3,138.94
Therefore, the future value of $500 after 41 years with compounding is approximately $3,138.94 more than with simple interest.
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see image for question. HELP PLEASE
Answers
Answer: the last question at the very bottom
Step-by-step explanation:
the graph is not a scatter plot, so its a line plot .
Give the equation of a quadratic polynomial f(x) such that the graph y=f(x) has a horizontal tangent at x=2 and a y-intercept of 1.
f(x)= ?
Suppose the derivative of a function f(x) is f′(x)=(x−2)(x+1).
a)On which open interval is f(x) decreasing?
x∈ ?
b)At which value of x does f(x) have a local minimum?
x=
c)At which value of x does f(x) have a local maximum?
x=
d)At which value of x does f(x) have a point of inflection?
x=
Give a cubic polynomial f(x) such that the graph of y=f(x) has horizontal tangents at x=−1 and x=5, and a y-intercept of 8.
f(x)= ?
Answers
The equation of the quadratic polynomial f(x) with a horizontal tangent at x=2 and a y-intercept of 1 is f(x) = (x-2)^2 + 1. The function f(x) is decreasing on the open interval (-∞, 2).
To find a quadratic polynomial with a horizontal tangent at x=2 and a y-intercept of 1, we can use the general form f(x) = ax² + bx + c. We know that the derivative f'(x) is (x-2)(x+1). Taking the derivative of the general form and equating it to f'(x), we get 2ax + b = (x-2)(x+1).
From the equation, we can solve for a and b:
2a = 1, which gives a = 1/2.
b = -2 - a = -2 - 1/2 = -5/2.
Therefore, the quadratic polynomial is f(x) = (x-2)² + 1.
a) To determine where f(x) is decreasing, we can look at the sign of f'(x). Since f'(x) = (x-2)(x+1), it changes sign at x = -1 and x = 2. Thus, f(x) is decreasing on the open interval (-∞, 2).
b) At x = 2, f(x) has a critical point, and since f(x) is decreasing to the left of x = 2 and increasing to the right, it is a local minimum.
c) Since f(x) is continuously increasing to the right of x = 2, it does not have a local maximum.
d) f(x) does not have a point of inflection since the second derivative f''(x) = 2 is a constant.
To find a cubic polynomial with horizontal tangents at x = -1 and x = 5 and a y-intercept of 8, we can use the general form f(x) = ax³ + bx² + cx + d. We know that the derivative f'(x) should be zero at x = -1 and x = 5.
Setting f'(-1) = 0 and f'(5) = 0, we get:
-3a - 2b + c = 0
75a + 10b + c = 0
To satisfy these equations, we can choose a = -1/5, b = 3/5, and c = -3/5.
Therefore, the cubic polynomial is f(x) = (-1/5)x³ + (3/5)x² - (3/5)x + d. Substituting the y-intercept (0, 8) into the equation, we find d = 8.
Hence, the cubic polynomial is f(x) = (-1/5)x³ + (3/5)x² - (3/5)x + 8.
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Which of these situations does not have quantities that combine to make 0.
A. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
B. In the morning, the temperature rises 30 degrees. In the evening, it falls by 30 degrees.
C. Danny reads for 20 minutes. He then plays cards for 20 minutes.
D. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff.
Answers
When combined it equals 40
The parents club compiled a cookbook.
One company charges $750 to make a master copy and $25 for each additional copy. The total selling price depends on
how many copies are ordered. Write a function rule and create a table of values to graph the rule. How much will you save per book by ordering 400 books instead of 100 books?
Answers
Answer:
each book saves $295.6875
Step-by-step explanation:
Let the number of book be n
Total cost = 750 + (n-1)*25
For 100 books
cost = 750 + 99*25 = $3225
each book costs = $322.5
For 400 books
cost = 750 + 399*25 = $10725
each book costs = $26.8125
each book saves $295.6875
There are 8 teams playing in the tournament. Each team is scheduled to play every other team once. How many games will be played during the tournament?
A. 15
B. 21
C. 28
D. 36
Plz help me! who ansers this good I will giv 50 points!!!! I will vote you brainlest
Answers
Answer:
36 i did the quiz!
Find the value of x.
Answers
What is the growth rate for the linear function y=mx+b?
Answers
Answer:
m
Step-by-step explanation:
the slope or growth rate of the function is the coefficient of the variable x, which is m in this case
Solve for x using Pythagorean Theorem. SHOW YOUR WORK.
24
30
Answers
So;
a = 30
b = 24
Find x
Formula;
a square + b square = c square
The c in this case is x.
So we are gonna transpose to make x the subject.
a square + b square = c square
x square = a square - b square
Now that x is the subject we are gonna solve for x.
x square = (30 square) - (24 square)
x square = 900 - 576
x square = 324
Now we are gonna find the square root of both sides.
x square = 324
x = 18
The square root of x square is x and the square root of 324 is 18.
Therefore x = 18
Vertex A from△ABC△ △ A B C is located on the y-axis at the point (0, 4). If A is moved to a new position A' at (3, 5), describe how B and C must be moved to produce a new triangle that has the same orientation and is congruent to the original triangle.
Answers
The movement of a point along the coordinate geometry is referred to as translation.
Points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.
Given that:
\(A = (0,4)\)
\(A' = (3,5)\)
Calculate the movement from A to A',
We simply calculate the difference between the coordinates of A and A'.
For the horizontal movement, we calculate the difference between the x-coordinates
\(x = x_2 - x_1\)
\(x = 3 - 0\)
\(x = 3\)
This implies 3 units to the right
For the vertical movement, we calculate the difference between the y-coordinates
\(y = y_2 - y_1\)
\(y = 5 -4\)
\(y = 1\)
This implies 1 unit upward
Hence, points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.
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approximating the sum of the series by the tenth partial sum, we have the following. [infinity] 1 n5 n = 1 ≈ s10 = 1 15 1 25 1 35 1 105 ≈ (rounded to four decimal places)
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Approximating the sum of the series by the tenth partial sum, we have the following result:
∑ (n=1 to ∞) 1/n^5 ≈ s10 = 1/1^5 + 1/2^5 + 1/3^5 + ... + 1/10^5 ≈ 1/1 + 1/32 + 1/243 + ... + 1/100,000 ≈ 0.8413 (rounded to four decimal places).
In this approximation, we sum the reciprocals of the fifth powers of natural numbers from 1 to 10. The tenth partial sum, denoted as s10, represents the sum of the series up to the 10th term. By evaluating each term and adding them together, we obtain the approximate value of 0.8413. This approximation provides an estimation of the sum of the series while considering a finite number of terms, allowing for a simplified calculation of the overall sum.
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Approximating the sum of the series by the tenth partial sum, we have the following result:
∑ (n=1 to ∞) 1/n^5 ≈ s10 = 1/1^5 + 1/2^5 + 1/3^5 + ... + 1/10^5 ≈ 1/1 + 1/32 + 1/243 + ... + 1/100,000 ≈ 0.8413 (rounded to four decimal places).
In this approximation, we sum the reciprocals of the fifth powers of natural numbers from 1 to 10. The tenth partial sum, denoted as s10, represents the sum of the series up to the 10th term. By evaluating each term and adding them together, we obtain the approximate value of 0.8413. This approximation provides an estimation of the sum of the series while considering a finite number of terms, allowing for a simplified calculation of the overall sum.
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Please help with math, due soon. worth a good amount of points.
Answers
Step-by-step explanation:
There ya go my laddie. enjoy.
Answer:
1. 8v^4 + 6v^2
2. -7n - 3
3. 2a^3 - 6a
4. -2x^4 + 8x
Step-by-step explanation:
you remove the parentheses, group( or put )the terms together, then combine the like terms, and you'll get your answers.
The median for the given set of six ordered data values is 27. 5. 9 12 23 _ 41 48 What is the missing value?
Answers
Considering the median, the missing value of the data-set is of 31.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:
(23 + x)/2 = 27
23 + x = 54
x = 31
Hence, the missing value of the data-set is of 31.
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Help I only have 3 minutes left
16. The table below shows all students at a high school taking Language Arts or Geometry courses, broken down by grade level.
Use this information to answer any questions that follow.
Given that the student selected is taking Geometry, what is the probability that he or she is a 12th Grade student? Write your answer rounded to the nearest tenth, percent and fraction.
Answers
Step-by-step explanation:
Total number of students taking Geometry
74 + 47 + 112 + 51 = 284
12th grade students taking Geometry = 51
Answer : 51/284 = 0.18
Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answers
Answer:
5 years
Step-by-step explanation:
solve 11 ≤ w + 3.4 i dont know the answer please help me
Answers
Answer:
7.6 ≤w
Step-by-step explanation:
Hey there!
In order to solve this inequality, you need to simplify the inequality like the following:
Subtract 3.4 from both sides
7.6 ≤w
This means that w is greater than or equal to 7.6
the distribution of the commute times for the employees at a large company has mean 22.4 minutes and standard deviation 6.8 minutes. a random sample of n employees will be selected and their commute times will be recorded. what is true about the sampling distribution of the sample mean as n increases from 2 to 10 ? responses the mean increases, and the variance increases. the mean increases, and the variance increases. the mean increases, and the variance decreases. the mean increases, and the variance decreases. the mean does not change, and the variance does not change. the mean does not change, and the variance does not change. the mean does not change, and the variance increases. the mean does not change, and the variance increases. the mean does not change, and the variance decreases.
Answers
As n increases from 2 to 10, the mean of the sampling hdistribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
As n increases from 2 to 10, the sampling distribution of the sample mean will shift towards the population mean of 22.4 minutes. This is because as n increases, the sample mean becomes a better estimate of the population mean. Therefore, the mean of the sampling distribution will increase.
However, the variance of the sampling distribution will decrease as n increases. This is because the larger the sample size, the more representative the sample is of the population, and thus the less variability there is in the sample means. Therefore, the variance of the sampling distribution will decrease.
It is important to note that the standard error of the mean, which is the standard deviation of the sampling distribution, will also decrease as n increases. This means that as the sample size increases, the sample mean becomes a more precise estimate of the population mean.
In summary, as n increases from 2 to 10, the mean of the sampling distribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
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Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -1, 1-i f(x) = 0 = Х 3 ?.
Answers
The polynomial f(x) of degree 3 with real coefficients and the given zeros is f(x) = x³ - x² + 4x + 2.
To find a polynomial f(x) of degree 3 with real coefficients and the given zeros, we need to use the fact that if a polynomial has a complex root, then its conjugate is also a root. This means that if 1-i is a root, then 1+i is also a root.
So, our polynomial f(x) has the following roots: -1, 1-i, 1+i.
We can write the polynomial as the product of its factors:
f(x) = (x - (-1))(x - (1-i))(x - (1+i))
Simplifying the factors:
f(x) = (x + 1)(x - 1 + i)(x - 1 - i)
Multiplying the factors:
f(x) = (x + 1)(x² - 2x + 2)
Expanding the polynomial:
f(x) = x³ - 2x² + 2x + x² - 2x + 2
Simplifying the polynomial:
f(x) = x³ - x² + 4x + 2
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Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
Answers
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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So far in Unit 3, we have studied several hypothesis tests: 1-Prop z-Test, 2-Prop z-Test, 1-Sample t-Test, 2-Sample t-Test, and the Paired t-Test. For each scenario, identify the hypothesis test that should be applied. (1 point each) a. A researcher wants to test a claim that the average pounds of grapes on unfertilized vines decreases the yield of each grapevine when compared to the average pounds of grapes on fertilized vines. b. A researcher wants to test a claim that the average amount of time that kids spend reading books has decreased. c. A researcher wants to test a claim that students perform better on math problems when not listening to music as compared to when they do listen to music. d. A researcher wants to test a claim that the average age of professional baseball players is higher than the average age of professional football players. e. A researcher wants to test a claim that the proportion of children with autism has increased since 1990. f. A researcher wants to test a claim that there is a difference between the proportion of immigrants in the US and Canada.
Answers
a. The appropriate hypothesis test for this scenario would be a 2-Sample t-Test, as we are comparing the average pounds of grapes on unfertilized vines to the average pounds of grapes on fertilized vines.
b. The appropriate hypothesis test for this scenario would be a 1-Sample t-Test, as we are comparing the average amount of time kids spend reading books to a known or assumed value.
c. The appropriate hypothesis test for this scenario would be a Paired t-Test, as we are comparing the performance of the same students on math problems with and without music.
d. The appropriate hypothesis test for this scenario would be a 2-Sample t-Test, as we are comparing the average age of professional baseball players to the average age of professional football players.
e. The appropriate hypothesis test for this scenario would be a 1-Prop z-Test, as we are testing the proportion of children with autism.
f. The appropriate hypothesis test for this scenario would be a 2-Prop z-Test, as we are comparing the proportions of immigrants in the US and Canada.
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To build a new swing, Mr. Maze needs nine feet of rope for each side of the swing and 6 more feet for the monkey bar. The hardware store sells rope by the yard. How many yards of rope will Mr. Maze need to purchase?(3 feet = 1 yard)
Answers
Mr. Maze will need to purchase 8 yards of rope to build the new swing, considering the length required for both sides and the monkey bar. (1 yard = 3 feet)
To calculate the amount of rope needed in yards, we need to convert the given measurements from feet to yards. Since 3 feet is equal to 1 yard, we can use this conversion factor.
For each side of the swing, Mr. Maze needs 9 feet of rope. Therefore, for both sides, he would require a total of 9 feet + 9 feet = 18 feet of rope.
In addition, he needs 6 more feet of rope for the monkey bar
To convert the total length of rope needed from feet to yards, we divide the total length by 3:
(18 feet + 6 feet) / 3 feet/yard = 24 feet / 3 feet/yard = 8 yards
Therefore, Mr. Maze will need to purchase 8 yards of rope from the hardware store to build the new swing, accounting for the length required for both sides and the monkey bar.
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