How do you find the equation of a line with the slope?
Answers
We can solve for the y-intercept in the slope-intercept equation y=mx+b by first determining the slope between two points on a line and then writing an equation for that line.
How do we locate an equation for a sloped line?Point-slope form = y y 1 = m (x x 1), where (x 1, y 1) is the given point and m is the given slope. Substitution method: insert the slope and the (x, y) point values into y = mx + b, then solve for b.
How do slope equation problems get solved?To solve for the slope, m, one can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation y = mx + b. One can either calculate or observe that the slope is –3.
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Related Questions
Use the diagram and the given angle measure to find the other three measures
Answers
The other three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°What is Angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.This, I assume, refers to two lines that cross and create four angles.
The sum of the additional angles 2 and 3 is 180°.Angles 2 and 3 equal 180°.159⁰ + angle 2 = 180⁰angle 2 = 180⁰ - 159⁰angle 2 = 21⁰The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.
Since vertical angles are congruent in measure, it is simple to determine their measurements.
Hence, the three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°To learn more about Angles click on the link
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I’ll mark you brainlist I’ll mark you brainlist
Answers
Answer:
-4
Step-by-step explanation:
-9-(-5)3-2*-4/1*20 characters long so I need to write thisElise says, "If you subtract 14 from my number and multiply the difference by - 3, the result is - 63."
What is Elise's number?
Elise's number is
Please help
Answers
35
Explanation:
Let x be equal to Elise’s number.
We can set up our equation like this:
(x-14)(-3)=-63
Expand the parentheses
-3x+42=-63
Subtract both sides by 42
-3x+42-42=-63-42
-3x=-105
Divide both sides by -3
-3x/-3=-105/-3
x=35
I hope this helps!
Answer:
35
Step-by-step explanation:
-3(x-14)=-63
distribute
-3x+42=-63
-3x=-105
x=35
please help me i can give brainliest!
If the mean and the median of a set of data is 25, is the data skewed left, skewed right, or symmetrical.
Answers
Answer:
skewed left
Step-by-step explanation:
PLS HELP! GEOMETRY!!
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.
if you're actually willing to help me with my geometry test that would be awesome
Its a win-win!
Answers
Surface area of cuboid is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.
Surface area of a cuboid is = 2lw + 2lh + 2 hw
where ; l= length
w= width.
h = height
= 2(10×6)+2(10×6)+2(6×6)
=2(60)+2(60)+2(36)
=120+120+72
=312
Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.
Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.
Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.
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A local restaurant claims that it gets 45 percent of its customers from Monday through Thursday, 20 percent on Friday, 20 percent on Saturday, and 15 percent on Sunday. How many degrees of freedom should be used to conduct a chi-square goodness-of-fit test of the claim?
Answers
Answer:
3
Step-by-step explanation:
Answer:
A: 3
Step-by-step explanation:
Madison is saving for a new flat screen TV, which cost $600. She has already saved $25. She earns $50 per week working at the supermarket. How many weeks will it take to earn enough for the new flat screen TV? b) Write an equation showing the relationship between the number of weeks and total savings.
please help!
Answers
Answer:
$50w + 25 = $600 12 weeks
Step-by-step explanation:
replace w with 12.
(50 x 12) + 25 = 625
so that means she has to work 12 weeks to get the minimum amount needed
A high school decided to spend $ 750 on student academic achievement awards. At least 5 awards will be given, they should be equal in value, and each award should not be less than $ 50 . Write and sketch a function that models the relationship between the number a of awards and the cost c of each award. What are the domain and range of the function?
b. What information can you use to determine the domain and range?
Answers
Following is domain and range for given function -
A)The function's range is -5≤ a≤50.
The function's range is -50≤c≤150.
B) The information we got from equation of the function is used to determine domain and range.
Given,
The whole amount spent is $750.
As a result, our equation is
ca = 750
calculating c,
c = 750 / a
The function's domain and range are:
a ≤ 5
Each prize now needs to be under 50.
= 50 ≤ c
Using the formula, ac = 750
A's maximum value is 75.
we can say that domain is
5 ≤ a ≤ 50
Finally, by substituting a = 5 we can see that the maximum for c is 150.
This gives range for c as -
50 ≤ c ≤ 150
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For the overdamped oscillations, the displacement x(t) is expressed by the following x(t) = e^-βt [A e^ωt + Be^-ωt]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations eʸ = cosh y + sinh y e⁻ʸ = coshy - sinhy A. x(t) = (cosh βt - sin βt) [(A + B) cosh ωt - (A - B) sinh ωt] B. x(t) = (cosh βt + sin βt) [(A + B) cosh ωt + (A - B) sinh ωt] C. x(t) = (cosh βt - sin βt) [(A - B) cosh ωt + (A - B) sinh ωt] D. x(t) = (cosh βt - sin βt) [(A + B) cosh ωt + (A - B) sinh ωt]
Answers
The displacement x(t) for overdamped oscillations is given by x(t) = (cosh βt + sin βt) [(A + B) cosh ωt + (A - B) sinh ωt].
The correct expression for the displacement x(t) in terms of hyperbolic functions is:
B. x(t) = (cosh βt + sin βt) [(A + B) cosh ωt + (A - B) sinh ωt]
To show this, let's start with the given expression x(t) = e^(-βt) [A e^(ωt) + B e^(-ωt)] and rewrite it in terms of hyperbolic functions.
Using the relationships e^y = cosh(y) + sinh(y) and e^(-y) = cosh(y) - sinh(y), we can rewrite the expression as:
x(t) = [cosh(βt) - sinh(βt)][A e^(ωt) + B e^(-ωt)]
= [cosh(βt) - sinh(βt)][(A e^(ωt) + B e^(-ωt)) / (cosh(ωt) + sinh(ωt))] * (cosh(ωt) + sinh(ωt))
Simplifying further:
x(t) = [cosh(βt) - sinh(βt)][A cosh(ωt) + B sinh(ωt) + A sinh(ωt) + B cosh(ωt)]
= (cosh(βt) - sinh(βt))[(A + B) cosh(ωt) + (A - B) sinh(ωt)]
Comparing this with the given options, we can see that the correct expression is:
B. x(t) = (cosh βt + sin βt) [(A + B) cosh ωt + (A - B) sinh ωt]
Therefore, option B is the correct answer.
The displacement x(t) for overdamped oscillations is given by x(t) = (cosh βt + sin βt) [(A + B) cosh ωt + (A - B) sinh ωt].
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Please answer the question no photos and no words just plain working out
Correct answer will get brainliest
Answers
Answer:
Step-by-step explanation:
volume of a prism =base area * length
35 = base area * 7
35/7 = base area
5 cm^2 =base area
base area= \(\frac{1}{2}*b*h\)
5=\(\frac{1}{2}*4*h\)
5=2*h
5/2=h
2.5=h
there are 10 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?
Answers
There are 720 different slates of candidates possible.
Permutation:
The permutation is a statistical method that determines the number of possible arrangements. In permutation, the order of selection is important and replacements are not allowed.
Permutation can be divided into three different types:
Permutation of n different objects.Repetition, where repetition is allowed.A permutation is when the objects are not distinctThe general formula of Permutations:
\(^nP_r=\frac{n!}{(n-r)!}\)
n= total number of members.
r=number of members selected.
Here n=10 and r= 3
Now substitute the values in the above formula:
\(^nP_r=\frac{10!}{(10-3)!} \\\\^nP_r=\frac{10!}{7!}\\\\^nP_r= \frac{10*9*8*7!}{7!} \\\\^nP_r=10*9*8\\\\^nP_r=720\)
Therefore, there are 720 different slates of candidates possible.
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Question #9: The box-and-whisker plots below show the mean monthly
temperatures (°F) for Mexico City, Mexico, and Shanghai, China. What
percent of the temperatures for Shanghai fall between 46°F and 78°F?
Answers
Answer: 50%
Step-by-step explanation:
When treated with an anabiotic, 97% of all the dolphins are cured of an ear infection. if 6 dolphins are treated find the probability that exactly 3 are cured.
The probability is _____
(Round your answer to 4 decimal places.)
Answers
Answer:
0.0005
Step-by-step explanation:
this is a binomial experiment -- they are either cured or not, and the outcome is random
probability = n choose r * p^r * q^(n-r)
here, n = number of trials, r = number of successes desired, p = probability event occurs, and q = probability event doesn't occur
probability = n choose r * p^r * q^(n-r) = 6 choose 3 * 0.97^3 * 0.03^(6-3)
= 0.00049284342 rounding to 0.0005
Solve for f: 6f + 9g = 3g + f
f = f equals StartFraction negative 8 g Over 3 EndFraction.
f = f equals StartFraction negative 6 g Over 5 EndFraction.
f = f equals StartFraction negative 5 g Over 6 EndFraction.
f = f equals StartFraction 12 g Over 7 EndFraction.
Answers
Answer:
f = -6g/5
Step-by-step explanation:
6f + 9g = 3g + f
combine like terms
6f -f = 3g - 9g
5f = -6g
divide both sides of the equation by 5
f = -6g/5
Answer:
f= -6/5. aka]. answer B
Step-by-step explanation:
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A circle centered at the origin contains the point
(0, -9). Does (8, √17) also lie on the circle? Explain.
O No, the distance from the center to the point
(8, √17) is not the same as the radius.
O No, the radius of 10 units is different from the
distance from the center to the point
(8, √17).
O Yes, the distance from the origin to the point
(8, √17) is 9 units.
O Yes, the distance from the point (0, -9) to the point
(8, √17) is 9 units.
Answers
Approximate value of √17
~4+So the point is (8,4)
As we can see in graph the point is contained by the circle
Hence the distance
√(0-8)²+(9-4)²√8²+5²√89Approximately 9 units
Option D
Answer:
Yes, the distance from the origin to the point (8, √17) is 9 units
Step-by-step explanation:
Equation of a circle
\((x-a)^2+(y-b)^2=r^2\)
where:
(a, b) is the centerr is the radiusGiven:
center = (0, 0)r = 9Substitute the given values into the formula to create the equation of the circle:
\(\implies (x-0)^2+(y-0)^2=9^2\)
\(\implies x^2+y^2=81\)
To find if point \(\sf (8, \sqrt{17})\) lies on the circle, substitute x = 8 into the found equation and solve for y:
\(\implies 8^2+y^2=81\)
\(\implies 64+y^2=81\)
\(\implies y^2=81-64\)
\(\implies y^2=17\)
\(\implies y=\sqrt{17}\)
As y = √17 when x = 8, this proves that point (8, √17) lies on the circle.
The distance from the origin to any point on the circle is the radius.
Therefore, as the radius is 9 units, the distance from the origin to the point (8, √17) is 9 units.
why is important to maintain an assessment’s validity, reliability, and equity in testing?
Answers
Answer: Reliability refers to the degree to which scores from a particular test are consistent from one use of the test to the next. ... Ultimately then, validity is of paramount importance because it refers to the degree to which a resulting score can be used to make meaningful and useful inferences about the test taker
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
A.5
B.6
C.7
D.8
Answers
Answer:
A.
Step-by-step explanation:
Solve inequality:
\(x + 3x<24\\4x<24\\x<6\)
only one less than 6 is A. 5
Answer:
A
Step-by-step explanation:
(5) + 3(5) < 24
20 < 24
respectively Q 1
=160−10P 1
OR r 1
=16−0.1Q 1
aWD 1/P 6
=16 6
−2T −
Q 2
=200−20P 2
ORP 2
=10−0,050,…H1AP 2
=15−0:0% Saga's Total Cost function is: TC =120+4Q With third degree price discrimination, the condition for peofit marimizater is MR 1
=MR 2
=MR=MC Find P 1
,Q 1
,P 2
,Q 1
Total Revenue, Total Cost, and Total proft wit sree discrimination. Find P,Q,TR,TC&π In the absence of price discrimination. Marks: 7
Answers
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.
Given the demand equations and the total cost function:
Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1
Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2
Total Cost: TC = 120 + 4Q
To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:
MR1 = MC:
16 - 0.2Q1 = 4
0.2Q1 = 12
Q1 = 60
MR2 = MC:
10 - 0.1Q2 = 4
0.1Q2 = 6
Q2 = 60
Substituting the quantities back into the demand equations, we find:
P1 = 16 - 0.1(60) = 10
P2 = 10 - 0.05(60) = 7
The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:
TR = P1 * Q1 + P2 * Q2
TR = (10 * 60) + (7 * 60)
TR = 600 + 420
TR = 1020
The total cost (TC) is given by the total cost function:
TC = 120 + 4Q
TC = 120 + 4(60 + 60)
TC = 120 + 480
TC = 600
Finally, the profit (π) can be calculated by subtracting total cost from total revenue:
π = TR - TC
π = 1020 - 600
π = 420
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
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Which form of payment can Courtney lose and NOT get back?
Answers
Answer: The form of payment that Courtney can lose and not get back would be cash.
Step-by-step explanation:
The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.
Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated verification process.
Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!
-From Certified 5th Grade Honors Student
In how many ways can you arrange all the numerals 1 through 5?
a
15
b
120
c
25
d
24
Answers
Answer: C
Step-by-step explanation: 5x5=25
pls mark as brainliest
Triangle ABC is congruent to triangle XYZ. Which angle corresponds to
angle A? Helpp
Answers
If eyeglasses with diverging lens are used (power = -1.16 dp),what is the far distance?
Answers
According to the given statement The total far distance = 88.2cm
Where does lens formula came from?A lens equation, sometimes known as a lens formula, is an equation that connects focal length, image distance, as well as object distance. . where v is the distance between the picture and the lens, u is the object distance, and f is the focal length
What is the lens's power?A lens's power is defined as both the reciprocal of its focal length. It is symbolized by that the letter P. P=1f gives the power P of something like a lens with a focal length of f (in m). The SI unit of lens power is a 'diopter.'
According to the given data:P = -1.16
The expression of the focal length is represented as:
f = 1/p
p is the power.
so,
f = 1/-1.16
= -0.862
= -86.2 cm
the expression for the lens formula is:
1/f = 1/v - 1/u
1/(-86.2) = 1/v - 0
v = -86.2
The total distance is represent as:
d = v + s
so,
d = 86.2 + 2
= 88.2 cm
The total far distance = 88.2cm.
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HELP ME PLEASE !!!!!!!!!!!!!!!
Answers
Answer: its 22.5
Step-by-step explanation:
What is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
(3, 1)
(1, 3)
(3, −1)
(−1, 3)
Answers
4(x - 3) Expand the Expression
Answers
Answer:
4x-12
Step-by-step explanation:
original------------------------ 4(x-3)
Distribute--------------------- (4 x X) - (4 x 3)
After Distrinuting----------4x-12
Hope this helps :P
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Answers
Parallel sides are marked by arrows (single or double) btw
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
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Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the group one-sixth of the pie, how many people are in the group?
Answers
Answer:
4 divided by 1/6 is 4 times 6 which equals 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
You basically need to do 4x6 because there are four pies and you're giving out 1/6 of them to each person
Directions: Solve. There are 74 chairs set up for an assembly. At the end of the night the janitor put the chairs away in stacks of 6. How many chairs will be in the last stack?
Answers
Answer: 3
Step-by-step explanation: 74 divided by 6 = 12.333
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
Answers
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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Jennifer Davis deposited \$2,600 today in an account paying 7 percent interest annually. (Round intermediate calculotions to 8 decimal places, e9.251251245) What would be the simple interest eamed on
Answers
Jennifer Davis will earn $910.00 in simple interest on her investment.
The principal amount is $2,600.
The interest rate is 7% per year.
The time period is 5 years.
To calculate the simple interest, we can use the following formula:
simple interest = principal * interest rate * time
Plugging in the values for the principal, interest rate, and time period, we get:
simple interest = 2600 * 0.07 * 5 = 910
Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.
In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.
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