(1 point) The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in
years of service, are 0-4.9.5-9.9, etc., and the vertical axis represents the number of faculty
What percent of the department faculty have 5 or more years of service?
Answer
English Faculty
10
15
20
25
Years of Service

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

Answer:

a

Step-by-step explanation:

you would add three to both sides because you are subtracting on the left side, so you would use inverse operations

Answer:

A &d

Step-by-step explanation:

A pex

Answer:

140°

Step-by-step explanation:

180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus

y = [tex]\frac{1}{3}[/tex] x

Or

y = [tex]\frac{x}{3}[/tex] → C

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

Read more on Brainly.com - https://brainly.com/question/13253100#readmore

Answer:

A. Infinite solutions.

Step-by-step explanation:

3x - 2y = 12

6x - 4y = 24

The second equation can be formed by multiplying the first by 2. So if we graphed them they would give the same line. So the equations are identical and there are infinite solutions.

A.Infinite solutions

Answer:

17x

Step-by-step explanation:

10+7 = 17

7-7 = 0

Hey!

-----------------------------------------

Answer: Yes 3/6 is rational!

-----------------------------------------

Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

-----------------------------------------

Hope This Helped! Good Luck!

Answer:

-40 x 5 = -200. his score is -200

]

Answer:

She is right, it won´t always work.

Step-by-step explanation:

Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.

Example:

    200    x       500      =    100,000

(2 Zeros)      (2 zeros)        (5 zeros)

Best of luck.

Answer:

mathw ay .com

Step-by-step explanation:

Question:

The table shows the total distance that Myra runs over different time periods.

Which describes Myra’s distance as time increases?

Answer:

A.) Increasing.

Answer:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

Step-by-step explanation:

The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).

Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

we see that the turning point is at (2, 3) which represents a different x-value.

The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and with three angles.

Since, The sum of all three angle in a triangle will be 180 degree.

Now, For option A;

The angles are 40° , 50°, 60°.

Sum of angles = 40° + 50° + 60°

                      = 150°

Hence, These set are not possible.

For option B;

The angles are 50° , 60°, 70°.

Sum of angles = 50° + 60° + 70°

                      = 180°

Hence, These set are possible.

So, The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

Learn more about the triangle visit:

https://brainly.com/question/24382052

#SPJ2

Answer:

Last option: It is not a function because there are two different y-values for a single x-value.

Step-by-step explanation:

It is necessary to remember that, by definition, a relation is a function if each input value (x-value)  has one and only one output value (x-value) .

In this case, the following points:

[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]

You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:

[tex]y=-2\\\\ y=4[/tex]

Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.

Answer:

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get  that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Step-by-step explanation:

(This is the answer form the assignment if it helps)

No it does not. False

Answer: x is 2

Step-by-step explanation:

Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing

Answer:

x=2

Step-by-step explanation:

Answer:

-5.25

Step-by-step explanation:

1/4 is equal to 0.25

Answer:

x = [tex]\frac{1}{12}[/tex] y

Step-by-step explanation:

Given

y = 4x + 8x, that is

y = 12x ( divide both sides by 12 )

[tex]\frac{y}{12}[/tex] = x, or

x = [tex]\frac{1}{12}[/tex] y

-9 and -3 are both 3 units from -6 on the number line.

Answer:  -9 and -3 are numbers which are 3 units from -6 on the number line.

Step-by-step explanation:

Since we have given that

3 units from -6 on the number line.

As we know that

there is right hand side and left hand side on the number line.

Left hand side is for negative numbers, and right hand side is for positive numbers.

So, the number which is 3 units from -6 on the left is given  by

[tex]-6-3=-9\ units[/tex]

The number which is 3 units from -6 on the right is given by

[tex]-6+3=-3\ units[/tex]

Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.

Answer:

Step-by-step explanation: mark up would be a fixed percentage, say you mark up your goods 50% your cost is $1 and 50% m-up would mean a selling price of 1.50. given this , your margin is 50cents. but margin may vary, there are indirect costs, example. store a charges, 1% display fee, store b charges 3% display fee. so, in store by your margin decreases. other factor that may affect margin are commission, local taxes, store charges.

Answer:

The answer is

Profit margin is sales minus the cost of goods sold. Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price. Markup is the retail price for a product minus its cost, but the margin percentage is calculated differently.

on edg 2020

Step-by-step explanation:

The answer is 3/8. The absolute value of a number is its distance from zero on the number line.

Answer:

The answer is 3/8. The absolute value of a number is its distance from zero on the number line.

Step-by-step explanation:

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

Answer: -8y^2 + 7x + 6y

Answer: angle 2, 5, and 6

Step-by-step explanation:

edge 2023

In mathematics, angles have a positive measure when they are measured counterclockwise from the reference line or origin.

In mathematics, angles can be measured in positive or negative degrees or radians. An angle is considered to have a positive measure if it is measured in the counterclockwise direction. Therefore, any angle that is measured counterclockwise from the reference line or origin is considered to have a positive measure.

For example, if we have a line segment and we measure an angle of 60 degrees counterclockwise from the positive x-axis, the angle has a positive measure. Similarly, if we measure an angle of 45 degrees counterclockwise from the positive y-axis, the angle also has a positive measure.

Answer:

bisection, trisection etc.

Step-by-step explanation:

It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.

Answer:

heyooo!

the correct answer is youll be making 6.41 an hour.

hope this helps!!

Step-by-step explanation:

if you divide 102.67 by 16 hours youll end up with your hourly pay which is 6.41

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following equation:

[tex]3N + S = 79[/tex]

where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:

[tex]3N + 25 = 79[/tex]

Subtracting 25 from each side gives us the following:

[tex]3N = 54[/tex]

Dividing both sides by 3 gives us the answer:

[tex]N = 18[/tex]

79 tickets minus 25 is 54

Shawnee has 54 tickets to split between her friends.

54 divided by 3 friends equals 18 tickets.

You can check the answer by multiplying: 18x3 equals 54.

Hence, her friends each got 18 tickets...

When a point is reflected across the Y axis, the Y coordinate remains the same and the X coordinate becomes the opposite of the original value.

Points are written as ( X,Y)

The original point is (-5,2)

The opposite x value would be 5 and the Y value stays the same.

The reflected point would be (5,2)

The answer is B.

A.(-5, -2). The reflected point A' after reflecting point A with coordinates (-5, 2) in the y-axis will have coordinates (5, 2).

When point A, which is located at (-5, 2), is reflected in the y-axis, you have to switch the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflection across the y-axis means that the point's position will be mirrored over the y-axis, resulting in the same vertical (y) positioning but an opposite horizontal (x) positioning. Therefore, the reflected point A', will be at (5, 2), which corresponds to answer B.

Answer:

29

Step-by-step explanation:

Substitute a = 6 and y = 7 into the expression

- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29