The standard form of linear function y = - (1 / 2) · x + 6 is (1 / 12) · x + (1 / 6) · y = 1.
How to find the definition of a linear function in standard form
In this question we find a linear function in slope-intercept form:
y = m · x + b
Where:
m - Slopeb - InterceptFrom which we must obtain the linear function in standard form:
a · x + b · y = c
Where:
a, b - Depedent coefficients.c - Independent coefficient.We can derive the standard form of the linear equation by algebra properties:
y = m · x + b
(1 / b) · y = (m / b) · x + 1
- (m / b) · x + (1 / b) · y = 1
If we know that m = - 1 / 2 and b = 6, then the equation of the line in standard form is:
- [(- 1 / 2) / 6] · x + (1 / 6) · y = 1
(1 / 12) · x + (1 / 6) · y = 1
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Students traveling to France on a study abroad trip have varying levels of French proficiency. Of
the students studying abroad, 5 students are fluent, 6 students are intermediate, and 2 students
are beginners. If a single student is picked at random, what is the probability that the student
is fluent or a beginner?
Total students: 5 + 6 + 2 = 13
Total students fluent or a beginner: 5 + 2 = 7
Probability of picking 1 fluent or beginner = total of fluent or beginner over total students:
7/13
Step-by-step explanation:
Total students:-
➝5+6+2
➝13
|s|=13E=Number of fluent or beginner students
➝5+2
➝7
|E|=7P(E):-➝|E| / |S|
➝7/13
NEED HELP ASAP
IF ITS NOT AN ACTUAL ANSWER, DONT ANSWER PLEASE!
Answer:
68
Step-by-step explanation:
this is the answer because 68 is the best answer because it adds up to 122. best answer and corr3ct.
Find the missing values in the ratio table then write the equivalent ratios in the order they appear in the table 3/4 1/3 2/3 3 1
The missing values in the ratio table are given as follows:
8 meters -> 1/3 minutes.4 meters -> 1/6 minutes.6 meters -> 1/4 minutes.10 meters -> 5/12 minutes.Hence the equivalent ratios are given as follows:
8 : (1/3).4 : (1/6).6 : (1/4).10 : (5/12).What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: time.Output: meters.Hence the constant of proportionality is obtained as follows:
k = 8/(1/3) = 24.
Hence the equation is given as follows:
y = 24x.
The time for 4 meters is given as follows:
4 = 24x
x = 4/24
x = 1/6.
The distance for 1/4 minutes is given as follows:
y = 24 x 1/4
y = 6 meters.
The distance for 5/12 minutes is given as follows:
y = 24 x 5/12
y = 120/12
y = 10 meters.
The equivalent ratios for each case are given as follows:
y = y : x.
Missing InformationThe problem is given by the image presented at the end of the answer.
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In regression analysis, which of the following is not a required assumption about the error term e?
Answer
O The expected value of the error term is zero.
O The variance of the error term is the same for all values of x.
O The values of the error term are independent.
O All are required assumptions about the error term.
All are required assumptions about the error term.
In regression analysis, there are several assumptions that need to be met regarding the error term :
The expected value of the error term is zero: It is the assumption that the mean of the error term is zero, which means that on average, the predicted values of the dependent variable will be equal to the true values of the dependent variable.The variance of the error term is the same for all values of x: It is the assumption that the spread of the error term is constant across all levels of the independent variable.The values of the error term are independent: It is the assumption that there is no relationship between the error term at different levels of the independent variable.All three assumptions are required for valid regression analysis, and any violation of these assumptions can lead to biased or inefficient estimates of the model parameters.To know more about error terms click below:
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A lawn sprinkler can spray up to 20 feet. If it sprays in a circular pattern, what is the approximate area in square feet watered by the sprinkler?
Answer:
1256.64 square feet
Step-by-step explanation:
In this situation, 20 feet is the radius of the circle that is sprayed.
Use the area formula, A = [tex]\pi[/tex]r²
Plug in 20 as the radius and solve:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](20)²
A = 400[tex]\pi[/tex]
This is approximately equivalent to 1256.64
So, the approximate area watered by the sprinkler is 1256.64 square feet
Please help me asap!!
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child.. Like fr unless you want to get reported ;) but ty for the ones who help!! :)
Answer:
3,000,000
Step-by-step explanation:
The product of 2√ 3 and 3√12 in simplified form is .
Answer:
36
Step-by-step explanation:
Rewrite this as
(2)(3)(√3)(√12), or
6 * √36, or
6 * 6 = 36
Similar:
Similarity Statement:
Scale Factor:
Please help, NO LINKS
Answer:
No similarity and no scale factor (I could be wrong)
Step-by-step explanation:
Don't worry, no links :)
You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.
A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?
Answer:
[tex]y=6x-4[/tex]
Step-by-step explanation:
First we have to know how to write a equation in Slope-Intercept Form!
Slope-Intercept Form: [tex]y=mx+b[/tex]
where y = y axis, m = slope, x = x intercept and b = y-intercept
Now start by solving the slope
To find the Slope, you must find two points
Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]
Then use the Slope-Formula to identify the slope
[tex]m=slope[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2--4}{1-0}[/tex]
[tex]m=\frac{6}{1}[/tex]
[tex]m=6[/tex]
The Slope is 6
The y-intercept is already given by the point (0, -4)
Note: (this goes to this situation because the point has a 0 of x intercept)
doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"
need help as soon as possible!!
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
54
Step-by-step explanation:
To arrive at his appointment on time, Mr. Jones needs to drive from his home at the average speed of 60 mph. But traffic is heavy, so Mr. Jones drives 15 mph slower than planned and arrives at the appointment 20 minutes late. How many miles from his home is the appointment
On solving the provided question, we can say that by equation 60 miles from his home is the appointment
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
for d and t
60 = d/t
45 = d / t + 0.33
60t = d
45( t + 0.33) = d
60t = 45t + 15
t = 1 hour
d = 60 X 1 miles = 60 mile
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Subject: Angles In a Circle
I need help with finding out how to get 5, d,e and f and getting the points
Step-by-step explanation:
please see the attachment
Please help ..............
SA triangle has side lengths of 11, 60, and 61. When using the converse of the Pythagorean theorem to determine if this is a right triangle, what is the value of c in the formula a² +b²=c²?
61
11
11²
60
Value of c is determined 61 unit.
What is right-angled triangle?
Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.
what is the value of c in the above formula?
SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.
The triangle is verified as a right-angled triangle by Pythagorean theorem.
And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.
if we say, one side length, a = 11 unit
second side length, b = 60 unit
the largest side length, c
now we will check,
√(11²+60²) = c² =√3721 = 61
the value of c = 61 unit.
hence, the SA is right-angled triangle.
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I’ll give brainliest!! Please explain how to do these
Answer:
x = 2 and x = 5
Step-by-step explanation:
assuming you require to solve for x
the sum of the 3 angles in a triangle is 180°
the third angle in both diagrams is right , that is 90° as they are the angle in a semicircle.
sum the 3 angles and equate to 180
6
90 + 16x + 40 + 11x - 4 = 180
27x + 126 = 180 ( subtract 126 from both sides )
27x = 54 ( divide both sides by 27 )
x = 2
10
90 + 6x + 18 + 3x + 27 = 180
9x + 135 = 180 ( subtract 135 from both sides )
9x = 45 ( divide both sides by 9 )
x = 5
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-4)^{\circ}∠A=(2x−4) ∘ and m\angle B=(x+1)^{\circ}∠B=(x+1) ∘ , then find the value of x.
A sector of a circle has an area of 55cm if the radius is 10cm calculate the angle of the sector
Answer:
Step-by-step explanation:
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers to her blog has been doubling every 6 months, thanks to some successful appearances on television.
1) by what factor is the number of subscribers increasing every month?
2) write an equation that represents the number of subscribers (s) in terms of m months since the beginning of the year( when she had 150 subscribers)
The number of subscriber is increasing by factor 1,12 every month. The number of subscribers m months since the beginning of the year can expressed by the growth model equation S(m) = 150 . e^(0.12m)
The problem can be solved using exponential growth model.
1) The relation between growth rate and doubling time is given by:
doubling time = 70 / growth rate
In this case, doubling time = 6 months.
Hence,
growth rate = 70/6 = 11.67% = 0.1167 ≈ 0.12
Growth factor is defined as:
Growth factor = 1 + growth rate
= 1 + 0.12 = 1,12
2) The growth model of the number of subscribers is given by:
S(m) = So . e^(r.m)
Where:
S(m) = number of subscriber after m months
So= initial number of subscriber
r = growth rate
t = time period
Substitute So = 150 and r = 0.12
S(m) = 150 . e^(0.12m)
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Mr. Gutierrez had $100 to purchase candy for his students that completed their work. He
bought 8 bags of jolly ranchers and 25 bags of assorted chocolate. Each bag of jolly
ranchers cost $3.25, and each bag of assorted chocolate cost $2.10. How much money
did Mr. Gutierrez have left over after these purchases?
Answer:
$21.50
Step-by-step explanation:
Mr. Gutierrez had $100 to purchase candy for his students that completed their work.
He bought 8 bags of jolly ranchers
Each bag of jolly ranchers cost $3.25.
Hence, the cost of 8 bags of jolly ranchers = 8 × $3.25
= $26
He also bought 25 bags of assorted chocolate and each bag of assorted chocolate cost $2.10.
Hence, the cost of 25 bags of assorted chocolates = 25 × $2.10
= $52.5
Therefore, the amount of money Mr. Gutierrez has left over after these purchases is calculated as:
Total amount - Sum of ( Cost of 8 bags of jolly ranchers + 25 bags of assorted chocolates)
= $100 - ( $26 + $52.5)
= $100 - $78.50
= $21.50
there's no explanation for it either sh trippin
solving for "xx"
[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]
The sum of the interior angles of a polygon is 20 x 180.
Work out the number of sides of the polygon.
sides
So the polygon has 22 sides.
A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle with three sides is an example of a polygon.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180 = sum of the interior angles
Where n is the number of sides of the polygon.
We know that the sum of the interior angles is 20*180, so we can substitute this into the formula:
(n-2) * 180 = 20 * 180
Solving for n, we get:
n = (20 * 180) / 180 + 2
n = 20 + 2
n = 22
So the polygon has 22 sides.
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Evaluate the expression. Write your answer in scientific notation.
1. 4.1x10^3) + (3.7x10^2)
2. (1.2x10^(3))*(4x10^(5))
WILL GIVE BRAINLIEST PLEASE HELP ASAP!!
Can u please help......,,,....
The length of the sides of ΔABC are; AB = 2√5, BC = √13, and AC = √17
The length of the sides of ΔDEF are; DE = 2√5, EF = √13, and DF = √17
By the SSS Congruence Theorem, ΔABC ≅ ΔDEF
How to prove triangle congruency postulate?We are given the coordinates of Triangles ABC and DEF as;
A(5, 3), B(7, 7), C(9, 4)
D(-8, 6), E(-12, 8), F(-9, 10)
The formula for distance between two coordinates is;
Distance = √[(y₂ - y₁)² + (x₂ - x₁)²]
Thus;
AB = √[(7 - 3)² + (7 - 5)²]
AB = √20
AB = 2√5
Similarly;
BC = √[(4 - 7)² + (9 - 7)²]
BC = √13
AC = √[(4 - 3)² + (9 - 5)²]
AC = √17
Likewise;
DE = √[(8 - 6)² + (-12 + 8)²]
DE = √20
DE = 2√5
Similarly;
EF = √[(10 - 8)² + (-9 + 12)²]
EF = √13
DF = √[(10 - 6)² + (-9 + 8)²]
DF = √17
Since the corresponding sides of the two triangles are equal and as such they can be said to congruent by SSS Congruency.
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HELP THIS IS MY LAST PROBLEM
A store bought a set of speakers for $82.86
and sold it for $195.82. What was the markup percentage? Round your answer to the nearest tenth.
Answer:
142%
Step-by-step explanation:
How I got this solution is made it as a ratio, "82.86:195.82".
I then simplified the balance by dividing 82.86 into both sides.
It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%
How many cups of flour are needed for 14 cakes? Please help me with this last question.
Answer:
42
Step-by-step explanation:
If you use the 1-2-3 ratio for a standard cake it would be three cups of flour for one cake so if you multiply three by 14 you get 42.
I hope this helped☺
The Key Club has a goal to raise $1,700, which they need for new equipment, by conducting various fundraisers. First, they did a baked of their goal 2/5amount. Next, they did a goods sale and earned 3/8 BINGO night and earned of their goal amount. How much more money does the Key Club still need to earn in order to reach their goal?
The amount of money more that Key Club still need to earn in order to have reached their target is $ 382. 50
How to find the money needed ?To find the amount of money needed by Kay Club to get to their target, first, find the amount of money earned from the bake sale :
= 2 / 5 x Target amount
= 2 / 5 x 1, 700
= $ 680
Then, they did a good sale and earned 3 / 8 of the amount :
= 3 / 8 x 1, 700
= $ 637. 50
The amount of money that Key Club still needs is:
= Total amount - amount raised
= 1, 700 - 680 - 637. 50
= $ 382. 50
In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.
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would this be sin, cos, or tan?
Answer:
cos
Step-by-step explanation:
its adjacent over hypotenuse
Answer: cos
Step-by-step explanation:
You don't have a value for the side opposite the angle, you only have your hypotenuse and your adjacent side. Hope this helps.
A random sample of 432 voters revealed that 100 are in favor of a certain bond issue. A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is
A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is (0.2301, 0.2759).
How to find a confidence interval for a population proportion?A part of a population with a particular attribute, expressed as a fraction, decimal or percentage of the whole population. For a finite population, the population proportion is the number of members in the population with a particular attribute divided by the number of members in the population.A proportion is a part, share or number considered in comparative relation to a whole. It can be equal to 0, 1 or any value between 0 and 1. It can be expressed as a number or percentage. One example in official statistics would be the proportion of the Canadian population who lives in a given province.p′ = x / n where x represents the number of successes and n represents the sample size. The variable p′ is the sample proportion and serves as the point estimate for the true population proportion.A population proportion is a fraction of the population that has a certain characteristic. For example, let's say you had 1,000 people in the population and 237 of those people have blue eyes. The fraction of people who have blue eyes is 237 out of 1,000, or 237/1000.(0.2301, 0.2759).
This interval is calculated using the following formula:
(sample proportion - margin of error, sample proportion + margin of error)
Where the sample proportion is the number of favorable voters (100) divided by the sample size (432), and the margin of error is calculated using the standard error and a critical value from a normal distribution table.
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Select the solution to the equation.
3+g= 10
Choose 1 answer:
g=6
B
g=7
g = 8
help please!
Answer:
g = 7
Step-by-step explanation:
subtract 3 from both sides of the equation
3+g=10
-3 -3
g = 10-3
g = 7