Given:
Point = (1,-4), Slope - 8
Point = (1,5), Slope =1
To find:
The slope-intercept forms of the given lines.
Solution:
The slope intercept form of a line is:
\(y=mx+b\)
The point slope form is:
\(y-y_1=m(x-x_1)\)
where, m is the slope of the line.
We have, Point = (1,-4), Slope - 8. So, the equation of the line is:
\(y-(-4)=-8(x-1)\)
\(y+4=-8x+8\)
\(y=-8x+8-4\)
\(y=-8x+4\)
Therefore, the correct option is B.
We have, Point = (1,5), Slope =1. So, the equation of the line is:
\(y-5=1(x-1)\)
\(y-5=x-1\)
\(y=x-1+5\)
\(y=x+4\)
Therefore, the correct option is D.
Electricity consumption. An economist studying the relation between household electricity consumption (Y) and number of rooms in the home (X) employed linear regression model (2.1) and obtained the following residuals: Plot the residuals e _i against X _i. What problem appears to be present here? Might a transformation alleviate this problem?
A linear regression model of the form Y = β0 + β1X + ε can be written as:
Yi = β0 + β1Xi + ei .
A linear regression model of the form Y = β0 + β1X + ε can be written as:
Yi = β0 + β1Xi + ei
Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.
In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data. This could potentially improve the fit of the linear regression model.
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Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.
Answer: The watermelon weighs more than the baby.
Step-by-step explanation:
I think that the watermelon that weighs 7.5 kilograms is more than a baby because 1 pound is 0.45 kilograms. So that means that 7.5 kilograms is 16.53 pounds which weighs more than 12 pounds.
The watermelon weight is more than baby weight.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
A watermelon weighs = 7.5 kilograms
And, A baby weighs = 12 pounds
Now,
Since, 1 kg = 2.2 pounds
Hence, The watermelon weight = 7.5 x 2.2 pounds
= 16.5 pounds
Thus, The watermelon weight is more than baby weight.
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Please help please!!!!!!!!!!!!!!
Answer:
the last one
Step-by-step explanation:
State what additional information is required in order to know the
triangles are congruent using the theorem or postulate listed.
Answer: line ZX is congruent to line VX (option 4)
Step-by-step explanation:
We already know <X is congruent to <X, we also know that line YX is congruent to line XW. Now all we need is one more line adjacent to X which is going to be ZX ad VX
Marco needs to buy some cat food. The nearest store, six bags of cat food cost $25.50. How much would Marco spend on five bags of cat food?
Answer:
$25.50/6=$4.25
$4.25*5=$21.25
Step-by-step explanation:
your answer
What’s is 93875748282858828819482 - 3826283 have fun
Answer:
9.3875748e+22
Step-by-step explanation:
Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.
PLEASE answer quick please thank you
Answer:
1/5 or 0.2
Step-by-step explanation:
Conversion a mixed number 1 1/ 5
to a improper fraction: 1 1/5 = 1 1/ 5
= 1 · 5 + 1/ 5
= 5 + 1/ 5
= 6/ 5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ 5
= 5/ 5
b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6
c) Write a previous answer (new numerator 6) over the denominator 5.
One and one fifth is six fifths
Subtract: 6/ 5
- 2/ 5
= 6 - 2/ 5
= 4/ 5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - six fifths minus two fifths = four fifths.
Multiple: the result of step No. 2 * (-3/ 4
) = 4/ 5
* (-3/ 4
) = 4 · (-3)/ 5 · 4
= -12/ 20
= -3 · 4/ 5 · 4
= -3/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 20) = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - four fifths multiplied by minus three quarters = minus three fifths.
Multiple: the result of step No. 3 * 3 = -3/ 5
* 3 = -3 · 3/ 5 · 1
= -9/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-9, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus three fifths multiplied by three = minus nine fifths.
Divide: the result of step No. 4 : (-9) = -9/ 5
: (-9) = -9/ 5
· -1/ 9
= -9 · (-1)/ 5 · 9
= 9/ 45
= 9 · 1/ 9 · 5
= 1/ 5
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -9/ 1
is 1/ -9
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 9 gives 1/ 5
.
In other words - minus nine fifths divided by minus nine = one fifth.
7-20. The two triangles below are congruent. Write a congruence statement relating the triangles. Describe a sequence of transformations that maps one onto the other. N E 10 10 8 .
Step-by-step explanation:
m ( < E ) = m ( < N )
m ( < H ) = m ( < J )
m ( < A ) = m ( < O )
NH = EJ
NA = EO
AH = JO
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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A number divided by 7 is 14 write an equation
Answer:
98÷7=14 cuz 14×7=98
Step-by-step explanation:
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The
area of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.
Hint : Use A = bh.
Answer is 18.7
We can use fractions and the information that the length of the base is 18.3 feet to find the solution to our problem.
What is a fraction?Fractions are used to represent the parts or elements of a whole or a set of items. A fraction is made up of two parts - the numerator and the denominator.
The numerator is the number at the top of the fraction line and indicates how many equal parts were taken from the total or collection. The denominator is the number at the bottom of the fraction line and represents the total number of identical objects in the collection or the number of equal sections that the whole is divided into.
There are three ways to express a fraction: as a fraction itself, as a percentage, or as a decimal. Each of these three representation methods will be examined.
According to our question-
The patio is 280 square feet in size. locate the base.
Height = 5x Area = 280 feet square
Base = 6x
The parallelogram A's area can be expressed mathematically as;
Base + height equal area.
A = b×h
the values of area, base, and height are substituted.
280 = 5x × 6x = 30x² \sx² = 280/30 \sx = √(280/30)
Given that the base is 6x,
swapping out x's value.
Base = 6x = 6(√(280/30))
Base=18.3 feet
18.3 ft tall is the base
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Complete question:
HELP ME! i know this isn't math but people don't help me so i used this sudject anyways please & thank you <333
Answer:
6.0 mm = 0.6 cm
576,999 ms = 576.999 s
0.0075 kg = 7500 mg
1,855 cl = 0.1855 hg
435 kPa in Pa = 435000
0.0000035 hs in ms = 0.35
350,000,000 mJ in kJ = 350
Step-by-step explanation:
i hope this helped !! <33
its not b, i just have it hovered over it
solve this plsss
carnegie plsssssssss
If you made a total of 63 posts, it takes 126 days.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
To make a post, it takes two days.
You made a total of 63 posts.
The number of days,
= 2 x 63
= 126
Therefore, time taken is 126 days.
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The complete question:
To make a post, it takes two days.
If you made a total of 63 posts, how many days did it take?
(URGENT PLEASE HELP)
The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
a) 4
b) -6
c) 6
d) -4
Answer:
-6
Step-by-step explanation:
A parabola is vertex form is written as
y = a(x-h)^2 +k where (h,k) is the vertex
Substituting in the vertex
y = a(x-5)^2 +5
We know a point on the parabola so we can find a
-1 = a( 6-5)^2 +5
-1 =a(1)^2+5
-1 = a +5
Subtract 5 from each side
-1-5 = a
-6 =a
Mariana wants to put 6 3 4 feet of border across the top of a wall. 6 She has 3 feet of border. What fraction of the project can she complete? 7 Enter your answer in the boxes . 12 -
divides a line segment at the middle
Answer: Midpoint
Step-by-step explanation:
Midpoint is the point that is equal distance from the endpoints.
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Evaluate x3 for x = 2
Answer:
8
Step-by-step explanation:
x^3
Let x=2
2^3
2*2*2
8
Answer: 9
Step-by-step explanation:
Ruguru wants to rent a car for 3 days. The cost,C , in dollars, for the rental is shown in the box, where D is the number of days the car is rented If Ruguru has 115, how much more will he need to rent a car for 3 days?
Ruguru need $15 more to rent a car for 3 days.
Given,
Number of days Ruguru wants to rent a car = 3 days
The amount Ruguru has with him = $115
The cost for the rental of the car:
C = 25 + 35D
Where,
D is the number of days
Now,
Lets find the total rent of the car for 3 days
C = 25 + 35D
C = 25 + 35 × 3
C = 25 + 105
C = 130
The total rent of a car for 3 days is $130
We have to find the amount needed by Ruguru to rent a car for 3 days.
That is,
Total rent - Amount Ruguru has = Amount needed
130 - 115 = 15
Therefore,
Ruguru need $15 more to rent a car for 3 days.
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Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?
Answer:
4957.56
Step-by-step explanation:
Call the 3 sides of the triangle as a,b,c.
We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.
To calculate an area of an equilateral triangle, we can use the formula :
\(\sqrt{3}\\\)/4 x \(a^{2}\)
=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56
for each of the cases in the previous problem, notice that there is a relationship between the mean and variance. calculate the ratio varyi eyi in each case. which has the greatest variance relative to the mean?
The given problem involves the calculation of the ratio of varyi eyi for each of the cases in the previous problem, where there is a relationship between the mean and variance.
The ratio of varyi eyi represents the variance of the data points relative to their mean. To calculate this ratio, we need to find the variance and mean of the given data set. The variance represents the spread of data points around the mean. If the variance is high, then the data points are spread out widely, indicating a large deviation from the mean.
On the other hand, if the variance is low, the data points are clustered closely around the mean, indicating a small deviation from the mean. After calculating the variance and mean, we can find the ratio of varyi eyi for each case. The case with the greatest variance relative to the mean will have the highest ratio of varyi eyi.
This ratio is an important measure of the variability of the data set. In conclusion, to solve the given problem, we need to calculate the ratio of varyi eyi for each case and compare them to find the case with the highest ratio. This will help us understand the variable of the data set and how it relates to the mean.
To analyze this, let's first define the terms:
1. Mean: The average of a set of data points, calculated by summing all data points and dividing by the total number of points.
2. Variance: A measure of how spread out a set of data points is, calculated by averaging the squared differences between each point and the mean.
3. Ratio: A comparison between two quantities, expressed as a fraction.
Once you have calculated the ratio of variance to mean for each case, compare the values to determine which case has the greatest variance relative to the mean. The case with the highest ratio value will have the greatest variance relative to the mean.
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What type of triangle is this ?
Answer:
triangle bby
Step-by-step explanation:
Step-by-step explanation:
Right because there's an angle of 90
Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?
Answer:
1933
there where a total number of 20 hurricanes recorded that year
Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY
y=-3x+4
dedont be suspicoes
A MOP TO CLEAN CULO
c
c
c
c
c
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
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After buying a jacket that cost $47, Marilyn had $6 left in her wallet. Write a SUBTRACTION equation to find the amount of money Marilyn had in her wallet before she bought the jacket.
Answer:
$53
Step-by-step explanation:
53-47=6
time-use data show that married american women have cut their housework time roughly in half over the last half-century, while men have:
Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.
This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.
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