Challenge in a company, 95% of the workers are men. If 270people work for the company who
aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that
you can solve this problem.
There are workers in all. (Type a whole num

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Step-by-step explanation:

Use formula

\( (\frac{b}{2} ) {}^{2} \)

To add a third new term and factor to find the answer. Example

\(x {}^{2} + 6x = 18\)

\(( \frac{6}{2} ) {}^{2} \)

Which equal 9. so our equation look like

\( {x}^{2} + 6x + 9 = 18 + 9\)

The only number that multiply to 9 and add up to 6 is 3. So we write our equation like this.

\((x + 3) {}^{2} = 27\)

Take the sqr root of both sides

\(x + 3 = \sqrt{27} \)

Subtract 3 from both sides

\(x = \sqrt{27} - 3\)

Since a sqr root of a number can be positive or negative, the answer is

\( \sqrt{27} - 3\)

or

\( - ( \sqrt{27} ) - 3\)

The answer is attached. I hope this helps answer your question!

Answer: 20t +4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

Answer:

13

Step-by-step explanation:

You are multiplying x times 11 equals -143, so you do the opposite and divide -143 divided by -11 is 13.

Answer:

1/2

Step-by-step explanation:

5pi / 6

On the Unit Circle that lands on \((-\frac{\sqrt{3}}{2}, \frac{1}{2} )\)

Which means the sine is 1/2

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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The angle between 0° and 360° that is coterminal with -160° is 200 degrees.

Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

It is given that:

The angle is -160 degrees

An example of a positive coterminal angle would be 360-160=200 degrees since angles always travel either counterclockwise or clockwise from the +x axis.

There can be an unlimited number of rotations and hence infinite coterminal angles because there is no range.

= -160 + 360 = 200 degrees

= 200+ 360n

= -160 - 360n degrees

Thus, the angle between 0° and 360° that is coterminal with -160° is 200 degrees.

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Answer:

jzjzhsjoqhzjs I I shxaoaas

Answer:

107

Step-by-step explanation:

Answer:

(x + 6)(x - 4) = 0

This means that the quadratic equation is:

x^2 - 2x - 24 = 0

This is the only choice that has roots of -6 and 4, so it is the correct answer.

Answer:

8000309

Step-by-step explanation:

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 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,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

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Answer

Both b) 64 d) 37 is your answer (If you meant  Y is greater than or equal to 64 then only d would work).

Step-by-step explanation:

Key skills needed for understanding: Inequalities

1) The inequality says that Y > 64, which means that Y has to be higher than 64.

2) This means that Anything not higher than 64 would not work.

3) Based on what you typed, both b and d are possible answers. 64 is not bigger than 64, and 37 is not bigger than 64.

Therefore, b and d are both answers (so there might be a typo in the problem as it only asks for one answer).

Answer:

M/s^2

Step-by-step explanation:

The average total cost for Q = 1, Q = 5, and Q = 14 and then using the curved-line tool to connect them.

The formula for the average total cost (ATC) is ATC = Total Cost (TC) / Quantity (Q).

In this case, we are given specific quantities (Q = 1, Q = 5, and Q = 14) and we are told that all total costs for these quantities are multiples of $25.

Therefore, we can use the given formula to calculate the average total costs for each of these quantities as follows:

ATC when, Q = 1: TC = $25,

Therefore ATC = $25/1 = $25ATC

When Q = 5: TC = $75,

Therefore ATC = $75/5 = $15ATC

When Q = 14: TC = $350,

Therefore ATC = $350/14 ≈ $25

Once we have calculated the average total cost for each quantity, we can plot the points (Q, ATC) = (1, $25), (5, $15), and (14, $25) using the point tool.

Then, we can connect these points using the curved-line tool to graph the average total cost curve. Here is what the graph should look like:

Therefore, this is how you can graph the average total cost curve by first using the point tool to plot points for the average total cost for Q = 1, Q = 5, and Q = 14 and then using the curved-line tool to connect them.

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Answer:

negative correlation

Step-by-step explanation:

the dots on the graph decrease as they move over to the right side

Answer: In their sleevies

Step-by-step explanation:

Hey! I'd show step by step work, but your pages are cut off and therefore I cannot properly read everything

Answer:

little late but wanted the points

Step-by-step explanation:

gimme points

The liters of smoothies sold is 9 7/8 liters.

An equation is a statement formed when two algebraic expressions are equated by an equal sign.

The volunteer prepares 12 1/2 = 25/2 liters of smoothies

The remaining amount of smoothies is 2 5/8 = 21/8 liters of smoothies

Let the amount of smoothies sold is x liters

Then the equation formed to determine the value of x is

x = (25/2) - (21/8)

x = 79/8

x = 9 7/8 liters

Therefore, the liters of smoothies sold is 9 7/8 liters.

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Answer:

k=8

Step-by-step explanation:

-5k + 3 = -86/-2

-5k +3 = 43

-5k = 43-3

k = 40/5

k = 8

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

Answer:

Even and 54

Step-by-step explanation:

Based on the given conditions, formulate: 84-6x5

Calculate the product or quotient: 84-30

Calculate the sum or difference: 54

Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year

Step-by-step explanation:

Number of students = 18

Number of scoops allowed per student = 2

If we are to write the total number of scoops that all the students will recive in linear form:

let the total number represent y

A linear form has the form:

y = mx + c

In this question:

y = 2x

Since there is no constant, the c = 0

m= 2 scoops per person

x = number of persons

The constraint that can affect the equation is the number of scoops.

Since we are told each person will only have 2 scoops.

The constraint:

This is because we can't have negative number of scoops of ice-cream.