Which of the following equations represents a line that is parallel to the line below?
A.
y=1/3x-2
B.
y =-1/3x-2
C.
y=3x-2
y=-3x-2
Answers
so slope = (2-1) / (0-3) = 1/-3 = -1/3
parallel has same slope = -1/3
b = 2
equation
y = -1/3x + 2
answer
equation is y = -1/3x +2. I don't see any of those above matched
Related Questions
(05.02)
Two quantities are related, as shown in the table:
x
y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2 y = 2x + 1
Answers
first equation y=1/2x +2
x=2 = 1/2(2) +2 =1+2 =3
x=4 = 1/2(4)+2 = 2+2 =4
first equation is the answer
Answer:
[tex]y=\dfrac{1}{2}x+2[/tex]
A is correct
Step-by-step explanation:
Given: Table of x and y
x : 2 4 6 8
y : 3 4 5 6
Using two point find the slope:
(2,3) and (4,4)
[tex]Slope=\dfrac{4-3}{4-2}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Now we find slope using last two point
(6,5) and (8,6)
[tex]\text{Slope }=\dfrac{6-5}{8-6}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Slope is equal. Thus, The given relation is linear.
[tex]y-3=\dfrac{1}{2}(x-2)[/tex]
[tex]y=\dfrac{1}{2}x+2[/tex]
Hence, The relation represents a linear equation [tex]y=\dfrac{1}{2}x+2[/tex]
Write the standard form of the line that has a slope of - and y-intercept of -2. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answers
slope-intercept form of your provided values:
[tex]y=-x-2[/tex]
now, solve for x and y
[tex]x+y=-2[/tex]
Your answer is [tex]x+y=-2[/tex].
y = mx + b where m=slope and b = y-intercept
so here we have
y = -x - 2
standard form is x + y = -2
An elevator descends into a mine shaft at the rate of 6 m/min. If the descendstarts from 20 meter above the ground level, how long will it take to reach - 340m?
Answers
and if it descends at a rate of 6 meters per minute...
360/6 = 60 minutes....or 1 hr to reach -340 <==
Evaluate the function f(x) = 4x -1 when x= -1 ..... f(-1) =___
Answers
4(-1)= -4 *bam* That's your answer.
To evaluate the function f(x) = 4x - 1 for x=-1, you first substitute -1 into the equation, then perform multiplication before subtraction as per the order of operations resulting in f(-1) = -5.
Explanation:To evaluate the function f(x) = 4x - 1 when x is -1, we simply replace the variable x in the equation with -1. The equation becomes f(-1) = 4(-1) - 1.
Now to perform the operations indicated in the equation, we should start with multiplication before subtraction according to the order of operations.
The multiplication of 4 and -1 gives -4 so the equation becomes f(-1) = -4 - 1.
Finally subtracting 1 from -4 gives -5. Therefore, f(-1) = -5.
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Justin is a software salesman. his base salary is $1500 , and he makes an additional $40 for every copy of english is fun he sells. let p represent his total pay (in dollars), and let n represent the number of copies of english is fun he sells. write an equation relating p to n . then use this equation to find his total pay if he sells 23 copies of english is fun.
Answers
n = number of copies
P = 1,500 + 40n
Therefore, if Justin sells 23 copies, his total pay will be:
P = 1,500 + 40(23)
P = $2,420
A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of a cylinder?
Answers
volume = PI * radius^2* height
3.14 x 1^2 x 1
v=3.14 cubic inches
If 1,000 students take a test that has a mean of 40 minutes, a standard deviation of 8 minutes, and is normally distributed, how many would you expect would finish in less than 40 minutes?
Answers
Answer:
500
Step-by-step explanation:
It is expected that approximately 500 students would finish the test in less than 40 minutes.
To determine the number of students who would be expected to finish the test in less than 40 minutes, we can use the concept of the standard normal distribution and the z-score.
The z-score measures the number of standard deviations an individual data point is from the mean. In this case, we want to find the proportion of students who finish the test in less than 40 minutes, which corresponds to finding the area under the curve to the left of the mean.
Using the z-score formula:
z = (x - μ) / σ
where x is the value (40 minutes), μ is the mean (40 minutes), and σ is the standard deviation (8 minutes).
Substituting the values into the formula:
z = (40 - 40) / 8
z = 0
A z-score of 0 indicates that the value is exactly at the mean.
Since we are interested in the proportion of students finishing in less than 40 minutes, we need to find the area under the curve to the left of the mean, which is represented by a z-score of 0.
By referring to a standard normal distribution table or using a statistical software, we find that the proportion of students finishing in less than 40 minutes is approximately 0.5000.
To find the expected number of students, we multiply the proportion by the total number of students:
Expected number of students = 0.5000 * 1000 = 500
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A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
Answers
Students were asked to measure a string as part of a physics experiment. The actual length of the string was 7.35 cm long. Which of the following groups of data show measurements from the most accurate group and why?
7.35 cm, 7.82 cm, 7.12 cm, because one of the measurements is closest to the actual length.
6.95 cm, 6.93 cm, 6.97 cm, because these have the most agreement between the measurements.
7.32 cm, 7.37 cm, 7.39 cm, because this group’s measurements are closest to the actual length. - My answer
7.90 cm, 7.91 cm, 7.89 cm, because these have the most agreement between the measurements.
Answers
Data set 1:
Mean= (7.35+7.82+7.12) ÷ 3 = 7.43
Data set 2:
Mean = (6.95+6.93+6.97) ÷ 3 = 6.95
Data set 3:
Mean = (7.32+7.37+7.39) ÷ 3 = 7.36
Data set 4:
Mean = (7.90+7.91+7.89) ÷ 3 = 7.9
From our calculation, the closest mean value to the actual length is data set 3, hence the data set 7.32, 7.37, 7.39 is the most accurate group
Koch's kinky curve is created by starting with a straight segment and replacing it with four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends. At the next stage, each segments replaced by four segments, and so on. How many bends does this curve have at the third stage? The fourth stage? The nth stage?
Answers
1st stage 1 segment 1 - 1 = 0 bends
2nd stage 4*1 segments 4 - 1 = 3 bends
3rd stage 4*4 = 16 segments 16 - 1 = 15 bends
The number of bends is equal to the number of segments less 1, becasuse two segments are required to make one bend.
4th stage 4*4*4 = 64 segments 64 - 1 = 63 bends.
nth stage 4^(n-1) segments 4^(n-1) - 1 bends
Find the GCF. 18x 3 and 30x 5
A.
6x 5
B.
90x 3
C.
6x 3
D.
90x 5
Answers
To find the GCF, first look at ur coefficients....The GCF of ur coefficients (18 and 30) is 6
now look at ur variables....pick the one with the lowest exponent...that would be x^3
so the GCF of these 2 terms is : 6x^3
Does any one know how to solve this -4n^2-2n=-6-7n-5n^2
Answers
Answer: n=-2, n=-3
Add 5n^2 to both sides
n^2-2n=-6-7n
Add 7n to both sides
n^2+5n=-6
Add 6 to both sides to put the equation into quadratic standard form
n^2+5n+6=0
Factor the equation
(n+2)(n+3)=0
3+2=5, 3*2=6
To solve a quadratic equation, find roots using Zero Product Property.
(n+2)=0
n=-2
(n+3)=0
n=-3
Final answers: n=-3, n=-2
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different answer. Which answer is correct?
Answers
[tex]\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x} \\\\\\ \textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x \\\\\\ thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}[/tex]
you can check in your calculator.
anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. The answer is 2.25.
How to convert percent to fraction and decimal?Percentage counts the number compared to 100.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Iliana was part of a group that was working on changing 0.4 repeated to a fraction.
Each member of the group had a different answer.
Let x be 0.444444[tex]\bar 4[/tex]
So,
4 / 10 = 0.4
4 / 9 = 0.4444444...
9/ 4 = 2.25
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Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribution. They have a mean weight of 52.5 lbs and a standard deviation of 2.4 lbs. What percentage of his dogs would you expect to have a weight between 47.7 lbs and 54.9 lbs?
Answers
To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We can expect that around 82.7% of Mark's dogs would have a weight within this range.
Explanation:To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We know that the mean weight is 52.5 lbs and the standard deviation is 2.4 lbs.
First, we need to standardize the lower and upper bounds of the weight range using the formula: z = (x - mean) / standard deviation. For the lower bound, z = (47.7 - 52.5) / 2.4 = -1.96. For the upper bound, z = (54.9 - 52.5) / 2.4 = 1.
Next, we can use a standard normal distribution table or calculator to find the percentage of values between -1.96 and 1. The percentage is approximately 82.7%. Therefore, we can expect that around 82.7% of Mark's dogs would have a weight between 47.7 lbs and 54.9 lbs.
Using the normal distribution, calculations of z-scores, and a z-table to determine probabilities, we can expect approximately 81.85% of Mark's Siberian Husky sled dogs to weigh between 47.7 lbs and 54.9 lbs.
Explanation:To determine the percentage of Mark's Siberian Husky sled dogs that weigh between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. The mean weight of the dogs is 52.5 lbs and the standard deviation is 2.4 lbs. We can calculate the z-scores for 47.7 lbs and 54.9 lbs:
Z = (X - μ) / σ
For 47.7 lbs:
Z1 = (47.7 - 52.5) / 2.4 ≈ -2.0
For 54.9 lbs:
Z2 = (54.9 - 52.5) / 2.4 ≈ 1.0
Using a z-table or a statistical software, we can find the probabilities corresponding to these z-scores. The probability between Z1 and Z2 is the area under the curve in this range.
The probabilities associated with the z-scores are approximately 2.28% for Z1 (< -2.0) and 84.13% for Z2 (< 1.0). To find the percentage between Z1 and Z2, we subtract the smaller percentage from the larger one:
Percentage between 47.7 lbs and 54.9 lbs = 84.13% - 2.28% = 81.85%
Thus, we would expect that 81.85% of Mark's dogs have a weight between 47.7 lbs and 54.9 lbs.
In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be? Check all that apply.
A. Square
B. Parallelogram
C. Rhombus
D. Rectangle
Answers
The answers are D:Rectangle, and B:Parallelogram
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
Answers
A = πr²
Substitute the value of BA to r,
A = (π)(10 ft)² = 314.16 ft²
(2) Area of the sector is calculated through the equation,
As = πr²(x/360°)
where x is the intercepted angle. Substituting the values,
As = π(10 ft)²(60°/360°) = 52.36 ft²
(3) Area of the equilateral triangle BAJ,
At = (√3)(a2²/4
where a is also equal to r or BA. Substituting,
At = (√3)(10 ft)²/4 = 43.30 ft²
The area of the region not shaded is equal to,
= (A) - (As - At)
Substituting,
= (314.16 ft²) - (52.36 ft² - 43.30 ft²)
Area = 305.10 ft²
Therefore, the answer to this answer is letter D.
Why is the mean greater than the median in right skewed?
Answers
Solve for w. 3w – 10 = -w – 8 + 3w
Answers
3w-10=2w-8
Add 10 to both sides
3w= 2w+2
Subtract 2w from both sides
w=2
Final answer: w=2
A librarian randomly selects 25 returned books one day and finds that three of them were returned late. based on this sample, how many of the 410 returned books that day are likely to be late returns?
Answers
Approx. 49 books.
If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?
Answers
Answer:
[tex]sin x = \frac{11}{s}[/tex]
Step-by-step explanation:
[tex]Tan x = \frac{11}{r}[/tex]
[tex]Cos x = \frac{r}{s}[/tex]
Property : [tex]\frac{sin \theta}{cos \theta}=Tan \theta[/tex]
So, [tex]\frac{sinx}{cosx}=Tan x[/tex]
Substitute the values
[tex]\frac{sinx}{ \frac{r}{s}}=\frac{11}{r}[/tex]
[tex]sinx =\frac{11}{r} \times \frac{r}{s}[/tex]
[tex]sinx =\frac{11}{s}[/tex]
Hence the value of sin x° is [tex]\frac{11}{s}[/tex]
What is the perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square?
Answers
-5x -5x
-8=-2x
x=4
4(3)=20-8
12=12
12+12+12+12
48
The required perimeter of the square is 48 units as of the given condition.
Given that,
The perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square is to be determined.
What is the perimeter?
Perimeter is the measure of the figure on its circumference.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The length of all sides of the square is always remains equal,
5x - 8 = 3x
2x = 8
x = 4
Side length,
3x = 3(4) = 12
Now,
The perimeter of the square is 4-time sides,
Perimeter = 4 (12)
Perimeter = 48 units.
Thus, the required perimeter of the square is 48 units as of the given condition.
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STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.
Answers
Theorem=> Diagonals in a isosceles triangle are congreunt.
Answer=> SV is a diagonal and so is TU therefore they are equal.
Set aside=> 3x+1=x+21
Solve=> 2x=20
x=10
Answer:
The value of x is 10.
Step-by-step explanation:
Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.
According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.
SV and TU are diagonals of the isosceles trapezoid, so
[tex]SV=TU[/tex]
[tex]3x+1=x+21[/tex]
Separate like terms.
[tex]3x-x=21-1[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=10[/tex]
Therefore the value of x is 10.
what is the answer to this equation 2(3-X)=-16
Answers
3 - x = -16/2
3 - x = -8
-x = -8 - 3
-x = - 11
x = 11
[tex]x = 11 [/tex]
[tex]Good \\ Luck \\ On \\ Your \\Assignment [/tex]
At a certain time of the day, a tree 15m tall casts a shadow of 12m, while a second tree casts a shadow of 20m. how tall is that?
Answers
so the ratio of the shadow sides is equal to the ratio of the tree sides. the 2 shadow sides are 12 and 20 so 12/20 is the ratio. one tree side is 15 and we will say the other is x so their ratio is 15/x.
since.the 2 ratios are equal we can say:
12/20 = 15/x
12x = 300
x = 25.
so the tree is 25m tall
Graph the line y = -1/4x+2.
a. Sketch the line that is perpendicular to y = -1/4x+2 that passes through the point (5,5)
b. Write the equation of the perpendicular line.
c. Where do the lines intersect?
Answers
b- 4x-15
c- (4,1)
juanita and lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters what is the radius.
Answers
Answer:
Radius of circular mural = 5.29 m
Step-by-step explanation:
Area of circle is given by πr².
Juanita and Lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters
Area of circle = 88 square meters
That is
πr² = 88
[tex]r^2=\frac{88}{\pi}=28.01\\\\r=5.29m[/tex]
Radius of circular mural = 5.29 m
A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
A) .08c .05c - 7.50; c = 250
B) . 05c .08c + 7.50; c = 22.5
C) 7.50 = .08c + 05c; c = 58
D) .08c = .05c + 7.50; c = 250
Answers
Answer: Writting the equation and solving it, the answer is option D) .08c = .05c + 7.50; c = 250
Solution:
If the number of photocopies is c
Plan 1: Customers can pay $0.08 per page
The cost with plan 1 is: C1=0.08c
Plan 2: Customers can pay $7.50 for a discount card that lowers the cost to $0.05 per page.
The cost with plan 2 is: C2=7.50+0.05c
We want to find the number of photocopies for which the cost of each plan is the same, then we equal the cost of each plan:
C1=C2
Replacing C1 by 0.08c and C2 by 7.50+0.05c
0.08c=7.50+0.05c
Solving this equation for c: Subtracting 0.05c both sides of the equation:
0.08c-0.05c=7.50+0.05c-0.05c
Subtracting:
0.03c=7.50
Dividing both sides of the equation by 0.03
0.03c/0.03=7.50/0.03
c=250
Answer:
.08c = .05c + 7.50; c = 250
Step-by-step explanation:
i got a 100 on the test trust!
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?
Answers
multiple of 4 ={4,8} = 2 favorable outcomes:
P(4 OR 8) = 2/8 = 1/4
Expected values after 200 rolls:
200 x P(4 or 8) = 200 x 1/4 = 50
The prediction is 50
Answer:
Carmen's prediction is low because 200 times is 50.
Step-by-step explanation:
First of all we are going to define the sample space for this exercise.
The sample space is Ω = {1,2,3,4,5,6,7,8}
Given the event A : ''Roll an 8-sided die an get a multiple of 4''
The probability for the event A is
Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.
Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls
an 8-sided die 200 times''
X can be modeled as a Binomial random variable.
X ~ Bi (n,p)
X ~ Bi (200,)
In which n is the total times she rolls the 8-sided die and p is the success probability. We define a success as obtain a number multiple of 4.
The mean for this variable is
We answer that Carmen's prediction is low because 200 times is 50.
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each month and select the correct answer below.
Answers
[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &120,000\\ r=rate\to 10\%\to \frac{10}{100}\to &0.10\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A=120000(1+0.10)^t\implies \begin{array}{lclll} A=120000(&1.1&)^t\\ &\uparrow \\ &rate\\ &of\\ &growth \end{array}[/tex]
1.1 is the decimal format, but you can simply multiply it by 100 to get the percentage, 1.1 * 100 = 110%
Rationalize the denominator of sqrt of -49 over (7-2i)-(4+9i)
Answers
-49/[(7-2i)-(4+9i)
=-49/[7-4-2i+9i]
=-49/[3+7i]
to rationalize the denominator we multiply both the numerator and the denominator by [3-7i]
hence;
-49/[3+7i]*[3-7i]/[3-7i]
=[-49(3-7i]/(9+49]
=(-147+343i)/58
The answer is (-147+343i)/58