A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair?

Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

Answer:

Five and six is the coefficient

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

Answer:

3d - 4f

Step-by-step explanation:

(12d + 28f) - 5f - (27f + 9d)

12d + 28f - 5f - 27f - 9d

(12-9)d + (28-5-27)f

3d - 4f

don't forget to put bracket, it is fundamental

4(3d + 7f) – 5f – 3(9f + 3d)

Use the distributive properly:

12d + 28f - 5f -27f -9d

Combine like terms:

3d -4f

Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

Therefore, elevator started from 14th level.  

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:

a+b=2

Step-by-step explanation:

start by combining all the terms that are possible: (a+b)^2 - 4 = 0

move -4 to the other side:  (a+b)^2= 4

Find the square root of both sides: a+b=2

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

Answer:

option a

Step-by-step explanation:

all positive real numbers

Answer:

(c) $75.37

Step-by-step explanation:

SStax = GrossPay * SSrate

SStax = 1215.60 * 6.2%

SStax = 1215.60 * 0.062

SStax = 75.37

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

Answer:

16

Step-by-step explanation:

A² for A = -4

= (-4)²

= (-4) × (-4)

= 16

Answer:

A² = 16

Step-by-step explanation:

Substitute A = - 4 into the expression

A² = (- 4)² = - 4 × - 4 = 16

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

Answer:

32 days

Step-by-step explanation:

2 days = 16km

1 day = 8km

256km÷8km=32 days

Step-by-step explanation:

it's an isosceles because it's has two vertices with the points -1

Answer:

PEMDAS

a

r

e

n

t

h

e

s

e

s

Step-by-step explanation:

in pemdas parenthesis are always first so start with the parenthesis and you should get an answer of N=4

Answer:

1/2 ÷1/6=1/2×6/1

=6/2=3.

the answer is 3

even though I didn't get the question I hope it helps

Answer:

C

Step-by-step explanation:

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .

Answer:

x=−2+2√6 or x=−2−2√6

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4x−20=0

For this equation: a=1, b=4, c=-20

1x2+4x+−20=0

Step 1: Use quadratic formula with a=1, b=4, c=-20.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−20)

2(1)

x=

−4±√96

2

x=−2+2√6 or x=−2−2√6

Answer:

The correct answer is A.

Step-by-step explanation:

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

Answer:

Sarah is 25 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]

Answer:

KY S

Step-by-step explanation:

Answer:

8

Step-by-step explanation: