Consider the line y=
1
2x+2.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answer:

b

Step-by-step explanation:

the sum of the angles is equal to 180, therefore they are supplementary

Answer:

\(y = 4 \\ x = - 2\)

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer:

The answers are B, C, D, E

Step-by-step explanation:

x = 6

x = -4

Range: (-inf , 25]

Domain: (-inf , +inf) or All Real Numbers

The units digit of the double factorial notation is the units digit of the product of all the even integers from 2 to 8, which is 8! The units digit of 8! is 8, so the answer is 8.

Factorials are mathematical operations symbolized by an exclamation point following a number. To find the factorial of a number, such as 5, write it down as 5! then multiply it by all the positive integers less than 5, including 1. Therefore, 5! is equivalent to 5 x 4 x 3 x 2 x 1, or 120. Factorials are frequently employed in mathematical equations and computations, especially in probability and statistics, where they are used to calculate the number of combinations or permutations that may be made from a given collection of numbers or variables. For example, if you had 5 distinct objects and want to determine how many various combinations , you used the factorial of 5.

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we can calculate two points in order to know what graph corresponds to the equation

when a=0

1.2p=600

p=600/1.2

p=500

the point is (0,500) red point

when b=0

0.8a=600

a=600/0.8

a=750

the point is (750,0) green point

the answer is B

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Hence , 10 liters of a 10% acid solution and 50 liters of a 40% acid solution must be used.

Let the amount of 10 % acid solution be " x " and the amount  40 % acid solution be " y " .

The total volume of the resulting solution is 60 L which can be given by

      x + y = 60       .....(1)

The total acid in the resulting solution is 35 % acid solution which is given by     0.10 x + 0.40 y = 0.35(60)            .....(2)

Multiplying by 100 in equation (2) , we get

        10 x + 40 y = 2100          .....(3)

Putting x = 60 - y in equation (3) , we get

   10 ( 60 - y ) + 40 y = 2100

        600 - 10y + 40y = 2100

                 30y = 1500

                    y = 50

Putting y = 50 equation (1) , we get

      x = 60 - 50 = 10

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Answer:

The answer will be, 105.26

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

Answer:

Step-by-step explanation:

Reduce each factor to the form 1x + b

The zeros will occur at (-b, 0)

(x + 2) is already in form      (-2, 0)

(2x - 3) becomes (x - 3/2)    (1.5, 0)

(x - 3) is already in form       (3, 0)

we can verify with a plotting calculator.

We see that the curve crosses the x axis at the three points indicated.

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer:

8.302

Step-by-step explanation:

cos(41)x/11

since x is on top then just multiply

cos(41)(11)

x=8.302 round it how u like

Answer:

8.3

Step-by-step explanation:

It has been awhile since I have done this so I may be a bit rusty.

a = (sin(A)⋅b) / sin(B)  =  (sin(49.00∘)⋅11.00)   /  (sin(90.00∘))    =    8.30

Answer:

(a) The number of units that will give the maximum profit is 2,000 units.

(b) The maximum possible profit is $274,000.

Step-by-step explanation:

(a) How many units will give the maximum profit?

From the attached photo in the question, we are given;

R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)

C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)

In economics, profit function, P(x), is obtained as follows:

P(x) = R(x) - C(x) ………………………. (3)

Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:

P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)

P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3

P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)

Taking a derivative of equation (4) with respect to x and equating to 0, we have:

162 + 0.099x - 0.00009x^2 = 0 .................... (5)

Using the almighty formula as follows:

x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)

Where, from equation (5);

a = - 0.00009

b = 0.099

c = 162

Substituting the values into equation (6), we have:

x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)

x = (-0.099 +/- 0.261) / -0.00018

x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018

x = -900, or x = 2000

Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.

(b) What is the maximum possible profit?

From part a, x = 2000

Substituting x = 2000 into equation (4) and then solve, we have:

P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)

P(x) = 274,000

Therefore, the maximum possible profit is $274,000.

Answer:

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

Step-by-step explanation: Hope this helps!! Mark me brainliest!!

Answer:

18x(4−y)

Step-by-step explanation:

72x−18xy

Factor out 18.

18(4x−xy)

Consider 4x−xy. Factor out x.

x(4−y)

Rewrite the complete factored expression.

18x(−y+4)

Evaluate

18x(4−y)

Answer:

Step-by-step explanation:

x - 1/2 =0

2x = 1

4x = 2

Answer:

x + 3 = 7/2

100x = 50

16/x = 24

Step-by-step explanation:

The value of x is 1/2 in the three equations.

Answer:only if all of the terms in the two expressions are the same, then the two expressions are similar

Answer:

  (a, b, c) = (8, 3, 2)

Step-by-step explanation:

Remove cubes from under the radical. Combine terms.

  \(\sqrt[3]{16} +2\sqrt[3]{54} =\sqrt[3]{2^3\cdot 2}+2\sqrt[3]{3^3\cdot 2}\\\\=2\sqrt[3]{2}+2\cdot 3\sqrt[3]{2}=(2+6)\sqrt[3]{2}\\\\=8\sqrt[3]{2}\equiv a\sqrt[b]{c}\ \longrightarrow\ \boxed{(a,b,c)=(8,3,2)}\)

The two triangles are not congruent

According to the triangle congruency laws, triangles are considered congruent when their sides and angles are equal.

The rules include

Side - Side - Side = SSS

Side, Angle, and Side = SAS

Angle Side Angle = ASA

Angle, Angle, and Side. = AAS

Hypotenuse and one leg. = HL

In the problem no information is given about the sides and just one angle is given.

Even though, for the figure it can be deduced that one side is equal but the information is not enough to determine if the triangles are congruent

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