A company has been forced to reduce its number of employees. Today the company has 34% fewer employees than it did a year ago. If there are currently 297 employees, how many employees did the company have a year ago?

Answer:

There are four main types of transformations: translation, rotation, reflection and dilation. A translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape. When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction. Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. A negative angle of rotation turns the figure in a clockwise direction.

Step-by-step explanation:

As we know an identity that ;

Setting, [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex] will give us ;

[tex]{:\implies \quad \sf \cos \left(2\times \dfrac{\pi}{8}\right)=2\cos^{2}\left(\dfrac{\pi}{8}\right)-1}[/tex]

[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}+1}[/tex]

[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}}[/tex]

Rationalizing the denominator of RHS, will yield ;

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}\times \dfrac{2\sqrt{2}}{2\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]

[tex]{:\implies \quad \sf \cos \left(\dfrac{\pi}{8}\right)=\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}}[/tex]

Now, as we know that ;

Now, setting the same [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex]

[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\sin \left(2\times \dfrac{\pi}{8}\right)}[/tex]

[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)\left(\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}\right)=\dfrac{1}{2\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\dfrac{\sqrt{8}}{2\sqrt{2}(\pm \sqrt{2\sqrt{2}+4})}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\pm \dfrac{1}{\sqrt{2\sqrt{2}+4}}}[/tex]

This is the required answer

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

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The equation y = mx of the graph is a linear equation

The linear equation that demonstrates the relationship on the graph is y = mx

The points on the graph are given as:

(1, m) and (x, y)

Start by calculating the slope (M)

[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]M = \frac{y - m}{x - 1}[/tex]

The linear equation is then calculated as:

[tex]y = M(x - x_1) + y_1[/tex]

This gives

[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]

[tex]y = \frac{y - m}{x- 1}(x)[/tex]

Cross multiply

[tex]yx-y = yx - mx[/tex]

Evaluate the common terms

[tex]-y =- mx[/tex]

Divide both sides by -1

y = mx

Hence, the equation of the graph is y = mx

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Answer:

$0.31.

Step-by-step explanation:

If 1.10 apples cost $3.50, we should divide to find the rate per apple.

1.10/3.5  ≈ 0.31

0.31 is the aproximatley answer, since there is no clear answer (at least not from my work). 0.31*70=21.70

The cost of 70 apples are 0.31.

9514 1404 393

Answer:

  $1,031,400

Step-by-step explanation:

A man with a high-school education earns $40,460 per year. A man with a bachelor's degree earns $66,245. The difference between these salaries is ...

  $66,245 - 40,460 = $27,785 . . . per year

Then in 40 years, the difference in earnings comes to ...

  (40 yr)($27,785/yr) = $1,031,400

A man with a bachelor's degree earns $1,031,400 more than a man with a high-school education over a 40-year career.

Answer:

A. 44

Step-by-step explanation:

The area of a trapezoid is [tex]\frac{b_1+b_2}{2} * h[/tex], where b_1 and b_2 are the top and bottom bases, and h = height. We are given the bases as 8 and 14, and the height as 4.

Therefore, the answer is A. 44.

Answer:

$150 = 4 hours,

So, in a ratio, 4 : 150

=> 150 * 4.5 : 4 * 4.5

=> 675 : 18 hours

Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

1

3

Decimal Form:

0.3

this is the first one I'm not to good with area

Answer:

x < -14

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

Step 2: Divide both sides by -3 and flip the inequality sign.

Therefore, the answer is  x < -14.

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<−14

Interval Notation:

(−∞,−14)

hope this helps

Answer: $293.28

Step-by-step explanation:

We know that 282 is the 100% price tag on the bicycle. And there is a 4% tax applied to the 282. So we need to find out how much is 4% of 282.

282/100% = x/4% (we don’t know how much is 4% so its represented by X.

do a cross over where you end up with this:

282 (4) = x (100) we want to have X on its own as it represents the 4% to which we are looking for the amount in dollars. So you end up with this:

282 (4) /100 = x

solve the multiplication first and then divide.

1128/100 = x

11.28 = x

so now we know 4% of 282 is $11.28 so we add it to know how much does this person pay.

$282 + $11.28 = $293.28

Answer:

The range is from 125 to 133.

Step-by-step explanation:

That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.

Answer: 1/2

0,4

-2

-2,-2

Step-by-step explanation: took the lesson

#1

#2

#3

#4

#5

#6

#7

#8

Answer:

See below.

Step-by-step explanation:

#1) Audi symbol

#2) Under Armour Logo

#3) Chanel Logo

#4) Red Logo

#5) Mouse Logo

#6) Android Bot

#7) Nike logo

#8) Spider

I think this is the answer i sorry if i am wrong

Diameter = cirumference / pie(3.14)

Radius = Diameter/ Radius

Radius is 2 inches

The radius of the frisbee with a circumference of 12.56 inches is 2 inches

C = 2πr

Where

C is the circumference

r is the radius

π is constant (i.e pi)

From the question given above, the following data were obtained:

C = 2πr

12.56 = 2 × 3.14 × r

12.56 = 6.28 × r

Divide both side by 6.28

r = 12.56 / 6.28

r = 2 inches

Therefore, we can conclude that the radius of the Frisbee is 2 inches

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Answer:

D.It is less than 0 because the addends have opposite signs and the positive addend is farther from zero.

Step-by-step explanation:

The given expression is :

When we subtract a larger number from a smaller number, we get a negative answer as mathematically we cannot subtract a larger number from smaller, so we subtract the numbers in standard format and out a negative sign in front of the answer.

Like this given expression will become : -519.70

Now, any negative number is smaller than zero.

Therefore, the correct answer is option D.

9514 1404 393

Answer:

  7/12

Step-by-step explanation:

The fraction that is flowers or bushes is the sum of the fraction that are flowers and the fraction that are bushes:

  flowers + bushes = 1/6 + 5/12 = 2/12 + 5/12 = 7/12

7/12 are either flowers or bushes.

Answer:

-0.5

Step-by-step explanation:

-4x=2

2/-4= -0.5

x= -0.5

Answer:

Step 1. Read the problem. Draw the figure and label it with the given information. .

Step 2. Identify what you are looking for. the measure of an angle

Step 3. Name. Choose a variable to represent it. Let x= the measure of an angle.

Step 4. Translate. m\angle A+m\angle B+m\angle C=180

Write the appropriate formula and substitution

X + 4.3 + 10.6- 8.1 \end{array}

Step 7. Answer the question. The measure of the third angle is 6.8ft

The new surface area is approximately 12264.56 ft².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To solve this problem, we first need to calculate the original surface area of the complex solid.

The complex solid is composed of two rectangular prisms, one with dimensions 9.8 ft × 6.5 ft × 8.1 ft and one with dimensions 10.6 ft × 4.3 ft × 6.5 ft.

The surface area of the first rectangular prism is:

2(9.8 × 6.5) + 2(9.8 × 8.1) + 2(6.5 × 8.1) = 464.82 ft²

The surface area of the second rectangular prism is:

2(10.6 × 4.3) + 2(10.6 × 6.5) + 2(4.3 × 6.5) = 411.22 ft²

So the total original surface area of the complex solid is:

464.82 + 411.22 = 876.04 ft²

Now we need to find the new surface area, which is exactly 14 times the original surface area.

Therefore, we can write:

New surface area = 14 × original surface area

New surface area = 14 × 876.04

New surface area ≈ 12264.56 ft²

Thus,

The new surface area is approximately 12264.56 ft².

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Answer:

D, 14 units

Step-by-step explanation:

Both coordinates have -5, so we know that 8 and -6 are at the same line.

We find the absolute value...

So 8=8 and -6=6. Lastly, we add them from 0 and 8+6= 14.

ANSWER IS 14 UNITS!!

Answer:

Area of a slice = Area of the pizza ÷ 8

Therefore the area of the pizza equals:

AreaPizza = π r^2 ( r = diameter ÷ 2)

= π 6^2

= 113.097

AreaSlice = AreaPizza ÷ 8

= 113.097 ÷ 8

= 14.137 inches squared

To the nearest square inch, each slice is 14 inches squared.

Step-by-step explanation:

Hope this helps.

Answer:

4th graph (in bottom right corner)

Step-by-step explanation:

First, convert the given equation into slope-intercept form.

Given :-

1/2x - 2y > -6

-2y > -1/2x - 6

2y < 1/2x + 6

y < 1/4x + 3

As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.

The correct option is the 4th graph (in bottom right corner)

Answer: = ( x + 1) (3x^2 - 3x + 5)

Step-by-step explanation:

U juss cancel the comon facor x + 2

( x + 1) (x + 2) (3x^2 - 3x + 5)/ x + 2

and get ( x + 1) (3x^2 - 3x + 5)

Answer:

B --> 3x^3+2x+5

Step-by-step explanation:

For edge

Answer:

C- 29.88

Step-by-step explanation:

i did it on the edge test

Answer:

true

Step-by-step explanation:

both sides have the same numbers and signs

Answer:

true........its the same thing

Here is the proof :-

So

Adjacent angle is also equal

Hence

Answer:

‎

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

Answer:

a) x=1/2

b) x=x

Step-by-step explanation:

a) x(1)=1/2

a) x=1/2

b) x(1)=x^0

b) x=x^0

b) x=x times 1

b) x=x