What is the equation of the line that passes through the point (8, -3) and has a slope of 1/4?

Answers

Answer 1

Answer:

y=1/4x-5

Step-by-step explanation:

y=mx+b is slope intercept form

m is slope

b is y intercept

we know m is 1/4 so we fill it in

y=1/4x+b

fill is the coordinates to find b

-3=1/4(8)+b

-3=2+b

-2. -2

-5=b

place b in

y=1/4x-5

hopes this helps

Answer 2

Answer:y=1/4x-5

Step-by-step explanation:

Your point was (8,-3) and your rise is 1 and your run is 4 so if you want to get from 0 to 8 and count by 4 you need to move twice, and if you established that you will move twice then you need a number that you add 2 to that will give you -3. And that number is -5 so your y-intercept is


Related Questions

Question 5
(01.02 LC)
Which number has an 8 that is the value of the 8 in 78? (2 points)
10
O 7.08
O 7.8
O 78
O 7,800
Math

Answers

Answer:

7.8

Step-by-step explanation:

myjnhdgfb bgfb

Factorise fully x2 + 19x + 48​

Answers

x^2+19x+48
(x+16)(x+3)

Explanation:
Two factors of 48 that added together equal 19 are 16 and 3 so that’s why they are used

Answer:

3(7x+16)

Step-by-step explanation:

Factor

\(x+2+19x+48\)

Multiply the monomials

\(2x+19x+48\)

Combine like terms

\(21x+48\)

Factor Greatest Common Factors out

\(3\left(7x+16\right)\)

I hope this helped you

:)

Suppose that a loan of $5500 is given at an interest rate of %6 compounded each year. Assume that no payments are made on the loan.

Answers

Answer:

Step-by-step explanation:

The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n) (nt)

where

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for

here

we have to found semianually

P= 2000

r= 11% =0.11

n=2   .... for semiannual

t =5

A = 2000( 1 +0.11 /2 )(2*5)

 = 2000(1 +0.055)10

= 2000(1.055)10

= 2000(1.708)

=3416

Carla bought a crate of red and
green apples for her bakery. The
crate had 140 red apples, which
were 70% of the apples in the
crate. How many apples were in
the crate?

Carla bought a crate of red andgreen apples for her bakery. Thecrate had 140 red apples, whichwere 70%

Answers

Step-by-step explanation:

140/70=2 Therefore, 1 apple equals 2 percent

The remaining 30 percent times 2 equals 60

60 apples plus 140 apples equals 200 apples

Answer B

Answer:

200.

Step-by-step explanation:

70% is equivalent to 140

10 %  .............................. 140/7 = 20 apples

100% ................................. 10*20 = 200.

In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x​

In the diagram beside QRS is a straight line QP/RT PRQ = 56 QPR = 84 and +RS X X find x

Answers

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Find p and q if 3(p 5// 4 8)-(-2 7//0 2)=2(-5 4//6 q). Please help me solve the matrix​

Answers

Answer:2[6-2-34]

Step-by-step explanation: cuz i jus know everything

Which of the following is not a type of effectiveness MIS metric?
Customer satisfaction
Conversion rates
Financial
Response time

Answers

"Financial" as it is not an effectiveness MIS metric.



To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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If GI and JL are parallel lines and mZJKH = 70°, what is m<LKM

​WILL GIVE BRAINLIEST

If GI and JL are parallel lines and mZJKH = 70, what is m&lt;LKMWILL GIVE BRAINLIEST

Answers

Answer:

70°

Step-by-step explanation:

Since m∠JKH and m∠LKM are verticle angles, they are equal to each other.

in the citation 319 n.w. 2d 459, the number 459 represents the

Answers

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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-3.3(6) SHOW WORKS PLSSSSSSSSSSSSSSSS

Answers

Answer:

-19.8

Step-by-step explanation:

-3 x 6 = -18

-0.3 x 6 = -1.8

add together: -18 + -1.8 = -19.8

-19.8 is your answer

Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of. 5. How many subscribers must they sample to obtain this interval?.

Answers

They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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A firm requires an investment of $36,000 and borrows $12,000 at 9%. If the return on equity is 20%, what is the firm's pretax WACC? Select one: a. 8.2% b. 19.6% c. 16.3% d. 22.9%

Answers

To calculate the pretax WACC (Weighted Average Cost of Capital), we need to find the weighted average of the cost of equity and the after-tax cost of debt.

First, let's calculate the after-tax cost of debt:

After-tax cost of debt = pre-tax cost of debt x (1 - tax rate)
Since the tax rate is not given in the question, we will assume it to be 30% (a common corporate tax rate).

After-tax cost of debt = 9% x (1 - 0.3) = 6.3%

Next, we need to find the cost of equity. The cost of equity can be calculated using the Capital Asset Pricing Model (CAPM):

Cost of equity = Risk-free rate + Beta x Market risk premium

The risk-free rate is typically the yield on a long-term government bond, which is not given in the question. Let's assume it to be 3%.

The beta is also not given in the question. Let's assume it to be 1.2, which is a typical beta for a moderately risky stock.

The market risk premium is the excess return that investors expect to receive for holding a risky asset. Let's assume it to be 8%.

Cost of equity = 3% + 1.2 x 8% = 12.6%

Now we can calculate the WACC as follows:

WACC = (Equity / Total capital) x Cost of equity + (Debt / Total capital) x After-tax cost of debt

Total capital = Equity + Debt = $36,000 + $12,000 = $48,000

Equity / Total capital = $36,000 / $48,000 = 0.75

Debt / Total capital = $12,000 / $48,000 = 0.25

WACC = 0.75 x 12.6% + 0.25 x 6.3% = 9.9%

Therefore, the firm's pretax WACC is 9.9%. None of the given answer options matches this result, so the correct answer is not provided.

What point on the number line is -3 | -16 + 12 |

Please give an explanation on the principles of absolute value with your answer.
Thank you!!!

Answers

Answer:

- 12

Step-by-step explanation:

The absolute value always gives a positive result , that is

| - a | = | a | = a

Then

- 3 | - 16 + 12 |

= - 3 | - 4 |

= - 3 × 4

= - 12

sketch the graph of
a,3y-2=5​

Answers

The graph of the equation of line is explain below

Explain the concept of equation of line?

The general equation of a straight line is y = mx + c, where m is the slope, and y = c is the worth where the line cuts the y-pivot. This number c is known as the block on the y-pivot. Central issue. The condition of a straight line with inclination m and block c on the y-hub is y = mx + c.

According to given data:

We have, equation of line ,3y-2=5​

⇒ y = 7/3

Its graph is shown below,

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sketch the graph ofa,3y-2=5

hello please help i’ll give brainliest

hello please help ill give brainliest

Answers

it’s a all the other ones are late

Pls answer as soon as you can I'm trying to pass this class i don't want to repeat the semester !! giving away 20 points
Jenny and Jason are buying lunch for their friends. Hot dogs are $3 each and hamburgers are $5 each. They bought a total of 25 items for a total of $105. How many of each item did Jenny and Jason purchase?
Write and solve a system of equations to represent the given scenario. Use the variables "x" for hot dogs and "y" for hamburgers.

Answers

Answer:

60 hamburgers

45 hotdogs

Step-by-step explanation:

105/5= 21

105/3= 35

12x5= 60 (hamburger)

15x3= 45 (hot dogs)

Explain why two variables must both be quantitative in order to find the correlation between them

Answers

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

What is a variable?A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

Quantitative order:

Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques. Ordinal-level measurement data can be quantitative or qualitative. They can be arranged in ranked order, but differences between entries are meaningless. Measurement data at the interval level are quantitative. They can be arranged in any order, and meaningful differences between data entries can be calculated. We can't do the arithmetic required in the r formulas if the variables aren't quantitative.

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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Causes of variation that can be identified and eliminated are called what?

Answers

The causes of variation that can be identified and eliminated are called; Assignable Causes.

What are the causes of Variation?

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Common causes.Assignable causes.

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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What is the value of x? With coordinates of 45%, 4√2, x.

What is the value of x? With coordinates of 45%, 42, x.

Answers

The value of x is 8. So correct is C.

Describe Triangles?

In mathematics, a triangle is a geometric shape that consists of three line segments that intersect at three endpoints. These endpoints are called vertices, and the line segments are called sides.

Triangles are one of the most basic shapes in geometry and are used in many areas of mathematics, science, engineering, and everyday life. They can be classified based on the length of their sides and the measure of their angles.

Some common types of triangles include:

Equilateral triangle: A triangle in which all three sides are equal in length.

Isosceles triangle: A triangle in which two sides are equal in length.

Scalene triangle: A triangle in which all three sides have different lengths.

Right triangle: A triangle in which one angle measures 90 degrees (a right angle).

To find the value of x, we can use the trigonometric ratios of a right-angled triangle. Let's call the base of the triangle "b".

We know that the angle between the hypotenuse and the base is 45 degrees, which means that the other acute angle is also 45 degrees. Therefore, we can use the trigonometric ratio for the sine of 45 degrees to relate the hypotenuse and the perpendicular as follows:

sin(45 degrees) = opposite/hypotenuse

where the opposite side is the perpendicular, which is given as 4√2.

sin(45 degrees) = 4√2/x

Simplifying this equation gives:

x = 4√2 / sin(45 degrees)

We know that sin(45 degrees) = 1/√2, so substituting this value into the equation above gives:

x = 4√2 / (1/√2) = 4√2 * √2 = 8

Therefore, the value of x is 8.

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Triangle XYZ has a hypotenuse length of 4. It is a 30 60 90 degree triangle. What are the lengths of the shortest leg and the longest leg?

Answers

The longest side is 4 and the shortest side is 2.

What is a right triangle?

A right triangle is a triangle that has three sides called the hypotenuse, adjacent and opposite side. The hypotenuse is always the longest side of the triangle.

What is the length of the shortest side?

Sin 30 = opposite / hypotenuse

0.5 = opposite / 4

= 2

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Ted combines 7.28 ounces of strawberries with 8.06 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 1.58 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

7.28 ounces + 8.06 ounces = 15.34 ounces combined

15.34 ounces - 1.58 ounces left over = 13.76 ounces

divide 13.76 ounces by 4 people = 3.44 ounces per bowl

Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:

Answers

Hey there mate !

Check my attached image for answer.

Have a great day!

Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid

The equations are x + y = 34 and 12x + 8y = 312. The number of adults and children will be 10 and 24, respectively.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' and 'y' be the number of adults and children, respectively. Then the equation is given as,

x + y = 34               ...1

12x + 8y = 312        ...2

From equations 1 and 2, then we have

12x + 8(34 - x) = 312

12x + 272 - 8x = 312

4x = 40

x = 10

The value of 'y' is calculated as,

10 + y = 34

y = 24

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$39.82 divided by 4 =

Answers

Answer:

$9.95

Step-by-step explanation:

Answer:

its 9.955

Step-by-step explanation:

39.82÷4

by calculator

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot

Answers

Answer:

37.7 ft²

Step-by-step explanation:

2×3.14×r=30.77

Divide both sides by 2

3.14×r=15.385

Divide both sides by 3.14

r≈4.9

3.14×r²

3.14×4.9²=

24.01×3.14≈

75.4

75.4÷2=

37.7

In space, how many planes can be perpendicular to a given line at a given point on that line in space?
A. 1
B.0
C. 3
D. infinitely many

Answers

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Which of the following statements is false?
08≤8
02≥8
02≤8
02<8

Answers

Answer:

the secound one

Step-by-step explanation:

actually im not sure

2  is greater than or equal to 8 is false

2 \(\geq\) 8 is false because 2 isn't greater or equal to 8. The sign, >, means greater than or equal to.

In how many ways can the deck be dealt so that each player receives 5 cards, with 4 cards left in the middle, one of which is turned face-up

Answers

A deck can be dealt in 1,302,540 ways so that each player gets five cards, with 4 cards left in the middle, one of which is turned face-up.

In a game of poker, the deck of cards is dealt in many ways. In a game where each player receives five cards and 4 cards remain in the middle, one of which is turned face-up. The number of ways to deal the deck in this game is calculated as follows: First, we have to select the 5 cards that will be dealt to the first player. This can be done in C(52,5) ways.

Next, we have to select the next 5 cards that will be dealt to the second player. This can be done in C(47,5) ways. For the third player, we have to select 5 cards from the remaining 42 cards, and so on. Ultimately, the final card is selected and turned face-up, which can be done in one way. Therefore, the total number of ways to deal the deck is: C(52,5) * C(47,5) * C(42,5) * C(37,5) * C(32,5) * 4 * 1 = 1,302,540 ways.

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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.​

Answers

Answer: 13

Step-by-step explanation:

Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.

Answers

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Justin buys 12 pencils for $0.56. He pays with a $10 bill. How much charge will he recieve?​

Answers

I don't imagine you could divide with this since the answer would lead to 0.04 but if so i'm an idiot.

The way i would do it is 12 x 0.56 which makes 6.72. (it just makes sense?)

So for the 0.04 he would get back 9.96

The 6.72 he would get back 3.28

Sorry i considered the possibilities.

Answer:

$3.28

Explanation:

First, multiply 12 times 0.56.

12 x 0.56 = 6.72

The answer would be $6.72.

In order to find how much change he would receive, you need to subtract 10.00 - 6.72.

10.00 - 6.72 = 3.28

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