what is 2n+3n +1 +8n+4

Answer:

Slope = 1/4

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

m = Slope

Step 3:

y = 1/4x + 3           Equation

Answer:

Slope = 1/4

Hope This Helps :)

Answer:

It depends if it is in a word problem or on a graph

Step-by-step explanation:

In a word problem you are looking for 2 numbers one that is a rate and one that is a beginning number. The rate is going to be the slope and the beginning number is going to be the y-intercept.

The equation is y=mx+b

The m is the slope and the b is the y-intercept

On a graph wherever the line crosses through the y-axis that is the y-intercept  or the b in the equation. To find the slope however is a little more difficult you have to rise over run it. This means that you find a point that is perfect or a (pretty point). Then you go up from the y-intercept to the x line that it is resting on and then you go over to that point.

In the equation provided the y-intercept is 3 or (0,3) and the slope is 1/4 so you go up 1 and over 4 and you would get your next point (4,4). Hope this helps.

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

80 percent off

Step-by-step explanation:

First find the difference in cost (75-15=60)

then divide the difference by the original price 60/75=.8

Answer:

D. proves \(tan(w + \pi) = tanw\)

Step-by-step explanation:

Given

\(tan(w + \pi) = tan(w)\)

See attachment for complete question

Option D answers the question (See proof below).

Using tangent sum identity, we have:

\(tan(A + B) = \frac{tanA + tanB}{1 - tanAtanB}\)

In this case:

\(A = w\)

\(B = \pi\)

So, we have:

\(tan(w + \pi) = \frac{tanw + tan \pi}{1 - tanw. tan \pi}\)

Note that

\(tan\ pi = 0\)

So:

\(tan(w + \pi) = \frac{tanw + tan \pi}{1 - tanw. tan \pi}\)

\(tan(w + \pi) = \frac{tanw + 0}{1 - tanw * 0}\)

\(tan(w + \pi) = \frac{tanw}{1}\)

\(tan(w + \pi) = tanw\)

Hence: Option D answers the question

Answer:

D. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Step-by-step explanation:

test on edge

Answer:

Neither perpendicular or parallel

Step-by-step explanation:

here is it on a graph. They do not intersect and aren't the same distance apart

Answer:

2000

Step-by-step explanation:

Basically you know that 2000 is within the margin of 10001-50000, so the tax rate is 5%. From here we can multiply 40000 (the starting value) and multiply it by 0.05 (which is 5% as a decimal), so it calculates out to 2000!! Good luck :)

Answer:

The state income tax owned of a $40,000 per year salary with the given data would be, $1800.

Therefore, the answer you are looking for is {1,800}

the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy is 0.814

Probability is a measure of the likelihood of a particular event occurring, expressed as a number between 0 and 1. It is a mathematical tool used to quantify the likelihood of an event occurring, or the likelihood of a proposition being true.

Step 1: Calculate the probability that an applicant is trustworthy:

P(trustworthy) = 95% = 0.95

Step 2: Calculate the probability that an applicant is untrustworthy:

P(untrustworthy) = 100% - 95% = 5% = 0.05

Step 3: Calculate the probability that the lie detector correctly identifies a trustworthy applicant as trustworthy:

P(trustworthy applicant correctly identified) = 65% = 0.65

Step 4: Calculate the probability that the lie detector incorrectly identifies a trustworthy applicant as untrustworthy:

P(trustworthy applicant incorrectly identified) = 15% = 0.15

Step 5: Calculate the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy:

P(job applicant rejected under suspicion of dishonesty was actually trustworthy) = P(trustworthy applicant correctly identified) x P(trustworthy) + P(trustworthy applicant incorrectly identified) x P(trustworthy)

= 0.65 x 0.95 + 0.15 x 0.95

= 0.814

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The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

  6

Step-by-step explanation:

One person will fly a kite for each of the 6 kites Jon has.

6 people in all will fly a kite.

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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3x. =180-90

3x. =90

x. =30

Answer:

Step-by-step explanation:

We see graphs of proportional relationship.

The input value is time in hours and the output is the earning in dollars.

a)

b)

Slopes can be calculated based on one pair of non-zero coordinates.

c)

The difference in slopes gives the difference in earning per hour:

Answer:

\(a = 7.5\)

Step-by-step explanation:

Given

\(\frac{10}{14} = \frac{a}{10.5}\)

Required

The value of a

Cross multiply

\(a * 14 =10 * 10.5\)

Make a the subject

\(a = \frac{10 * 10.5}{14}\)

\(a = \frac{105}{14}\)

\(a = 7.5\)

Answer:

1. 4¼

2. 10 22/35

Step-by-step explanation:

First, find a common denominator, in this case number 1 would contain a common denominator of 4, and for number 2 it could be 35 (7 x 5 = 35).

Then create an equivalent fraction, 1/2 turned into fourths would be 2/4. 2/4 + 3/4 = 5/4, which equals 1 1/4. Then add 1 1/14 + 1 + 2 = 4¼

For number 2, 3/7 = 15/35 and 1/5 = 7/35. Add them and get 22/35, then add the other numbers. 4 + 6 + 22/35 = 10 22/35

Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

Answer:

40.6

Step-by-step explanation:

Step 1:  Convert 52% to a decimal:

Thus, 52% as a decimal is 0.52.

Step 2:  Multiply 0.52 by 78 and round to one decimal place:

Now we can multiply 0.52 by 78 and round to one decimal place to find 52% of 78:

0.52 * 78

40.56

40.6

Thus, 52% of 78 is about 40.6,

Answer:

-20x

Step-by-step explanation:

Let the number be x.

The product of -4 and this number is -4x.

5 times this is 5(-4x), which simplfiies to -20x.

Answer:

sorry but I don't know

Step-by-step explanation:

pa follow pa follow

Answer:

0 and 1

Step-by-step explanation:

3/5 is approximately 0.6 so two whole numbers would be 0 and 1

Answer:

y = 17/7

Step-by-step explanation:

Answer:

2n - 3

Step-by-step explanation:

twice a number means to multiply it by 2

difference of a number and 3 is a number being reduced by 3 so the 3 comes after the subtraction sign

Answer:

40

Step-by-step explanation:

Answer:

110 kobo

Step-by-step explanation:

first 18 = 35 kobo

48-18 = 30 words left

30x2.5  = 75 kobo

35 + 75 = 110 kobo

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer:

5 mile/8 km 238 357

10 mile/16.1 km 476 714

15 mile/24.2 km 714 1,072

20 mile/32.2 km 953 1,429

Step-by-step explanation: