As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation

The most that an engineer should be ready to spend on new bulbs is The cost is P=$100.68.

The term "electronic bulb" is also used to describe incandescent lamps, globes, and bulbs.A gadget that uses electricity to produce light is a light bulb. By passing current through a small wire known as a filament, light bulbs convert electrical energy into visible light. Tungsten, a substance that emits light when electricity is delivered through it, is typically used to make the filament.

The lightbulb is essentially a very thin filament of a difficult-to-melt metal, commonly tungsten, enclosed in a glass bulb filled with inert gases to prevent the filament from oxidising and disintegrating.

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The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amp= 1

Period=pi

Vertical shift= 1

Phase shift= none

Answer:

108 students

Step-by-step explanation:

Just multiply the amount of students in each group by the number of groups (6)(18)=108

so there are 108 students

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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SOLUTION

Looking at the graph, the hyperbola is shifted to the left by 3 units

This makes

And shifted up along the y-axis by 2 units to get

Hence the best equation that will satisfy this is

Therefore, option B is the correct answer

Answer: 23.404

Step-by-step explanation:

The solutions when the function f(x) = g(x) is x = -3 and x = -1, since the output of the function is similar.

With the condition that each input is associated to exactly one output, a function is a relationship between a collection of inputs and a set of allowed outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

As we can observe from the given table, the two values for which the two function produce a similar output are at x = -3 and x = -1.

Hence, the solutions when the function f(x) = g(x) is x = -3 and x = -1, since the output of the function is similar.

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Step-by-step explanation:

Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:

y = -2

Answer:

y=-2

and m=0 must be your answer

Step-by-step explanation:

as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate

so

equation of line is y-y'=m(x-x')

so m=0 m is slope

y'=-2 and x'=4

so by substituting the values

y+2=0

so y=-2

and m=0 is your answer

Answer:

20 feet.

Step-by-step explanation:

The container is assumed to be a rectangular prism.

The volume would be length × width × height.

l × 10 × 8 = 1600

l × 80 = 1600

l = 1600/80

l = 20

The storage container is 20 feet long.

The length of the storage container is 20 feet long.

Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.

The volume of cuboid is given by -

V{C} = L x B x H

So, we can write -

1600 = L x 8 x 10

80L = 1600

L = 20 feet

Therefore, the length of the storage container is 20 feet long.

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Answer:

.marcus is taller by 6.25

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The equation to find the slope between two points is y₂-y₁/x₂-x₁.

In this case that would be 0-20/4-0 which simplifies into -20/4=-5

So your slope is -5

Answer:

Solution,

Let the points be A and B

A(0,20)---------> (X1,y1)

B(4,0)------------>(x2,y2)

Now,

\(slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: = \frac{0 - 20}{4 - 0} \\ \: \: \: \: \: = \frac{ - 20}{4} \\ \: \: \: \: = - 5\)

hope this helps...

Good luck on your assignment....

By solving a linear inequation, it can be concluded that

The sweater can be worn comfortably

What is a linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > . < , ≤, ≥

A one degree inequation is known as linear inequation.

Here, the given linear inequation is

\(|t - 56| \leq 6\\t - 56 \geq -6 \ or \ t - 56 \leq 6\\t \geq 56 - 6 \ or \ t \leq 56+6\\t \geq 50 \ or \ t \leq 62\\50 \leq t \leq 62\)

As 53° F lies between 50 and 62, the sweater can be worn comfortably

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Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

Answer:

3x + 14y

Step-by-step explanation:

(5x + 9y - z ) + (-2x + 7y + z)

5x + 9y - z - 2x + 7y + z

3x + 9y - z + 7y + z

3x + 14y

If yοu take the rebate, yοur mοnthly payment will be $819.08, if yοu chοοse dealer financing, yοur mοnthly payment will be $833.33, yοu wοuld save $342.00 οver the life οf the lοan by taking the rebate οptiοn.

A lοan is a sum οf mοney that is bοrrοwed and is expected tο be paid back with interest. It is a type οf financial transactiοn between a lender and a bοrrοwer, where the lender prοvides the bοrrοwer with a specific amοunt οf mοney, which the bοrrοwer agrees tο repay with interest οver a set periοd οf time.

If you take the rebate, you will have to take out a loan from a local bank for $18,000 at an APR of 6.5% for 2 years.

To calculate the monthly payment, we can use the loan payment formula:

Monthly payment =\(\rm (P \times r) / (1 - (1+r)^{(-n)})\)

where P is the principal amount, r is the monthly interest rate, and n is the total number of payments.

First, we need to calculate the monthly interest rate by dividing the annual percentage rate by 12:

r = 0.065 / 12 = 0.0054

Next, we need to calculate the total number of payments:

n = 2 x 12 = 24

Substituting these values into the loan payment formula, we get:

Monthly payment = (18,000 x 0.0054) / \((1 - (1+0.0054)^{(-24)})\) = $819.08

Therefore, if you take the rebate, your monthly payment will be $819.08.

If you choose dealer financing with no rebate, you will be financing the full $20,000 at a 0% interest rate for 2 years.

Using the same formula, we can calculate the monthly payment:

Monthly payment = (20,000 x 0) / 24 = $833.33

Therefore, if you choose dealer financing, your monthly payment will be $833.33.

Since the monthly payment for dealer financing is higher than the monthly payment for the rebate option, you should take the rebate and get a loan from a local bank.

To calculate the amount you save over the life of the loan, we can subtract the total amount paid for the rebate option from the total amount paid for the dealer financing option:

Total paid for rebate option = $819.08 x 24 = $19,657.92

Total paid for dealer financing option = $833.33 x 24 = $19,999.92

Amount saved = $19,999.92 - $19,657.92 = $342.00

Therefore, you would save $342.00 over the life of the loan by taking the rebate option.

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Answer:

n=-37

Step-by-step explanation:

9+n/4 = -7

First, we multiply each side by 4:

9+n= -28

Subtract 9 from both sides

n= -37

Hope this helps!!!

Answer:

n=8

Step-by-step explanation:

\(-9+\frac{n}{4}=-7\\ \frac{n}{4}=-7+9\\\frac{n}{4}=2\\ n=4*2\\n=8\)

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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I believe the answer is C

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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Answer: D

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

Answer:

cant see it

Step-by-step explanation:

just type it out

x = 24, y = 120

if you disagree tell me, I just substituted values.

Step-by-step explanation:

10. (6x - 7)° + (3x - 29)° = 180°

i.e they are co-interior angles:

6x + 3x - 7 - 29 = 180°

9x - 36° = 180°

9x = 216°

x = 24.

(6x - 7)° = (8y + 17)°

i.e they are vertically opposite angles;

but x = 24.

6(24) - 7 = 8y + 17

144 - 7 = 8y + 17

120 = 8y

y = 15

11. (9x + 25)° = (13x - 19)°

i.e they are corresponding angles;

25 + 19 = 13x - 9x

44 = 4x

x = 11

(13x - 19)° + (17y + 5)° = 180°

i.e they are adjacent angles;

but x = 11

13(11) - 19 +5 + 17y = 180

17y = 180 - 129

17y = 51

y = 3

Answer:

4

Step-by-step explanation:

0.6 x 4 is 2.4

Answer:

4 AU

Step-by-step explanation:

20.8 ÷ 5.2 = 4

5.2 increased by 4.

Scale means to get bigger or smaller evenly.

-kiniwih426

The size of the expresssion 2x + 5 - 3x when x = 4 is 1.

Given the expression in the question:

2x + 5 - 3x

Also, x = 4

The expression 2x + 5 -3x is an algebraic expression that involves the variable x.

When we substitute x = 4 into the expression, we replace every occurrence of x with 4.

Hence

2x + 5 -3x

Replace x with 4

2(4) + 5 - 3(4)

8 + 5 - 12

Add 8 and 5

13  - 12

Subtract 12 from 13

1

Therefore, when x=4, the size of 2x + 5 - 3x is 1.

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Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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