1.**A businesswoman purchased in-flight WiFi on her flight from New York to San Francisco. The graph
below shows the amount of time she spent using WiFi and the amount of money that she paid. What is
the constant of proportionality shown in the graph? What does the constant of proportionality
represent in the context of this problem?
Cost (in dollars)
LUIS

Answer:

Perimeter of the given polygon = 48 ft

Step-by-step explanation:

Perimeter of the given polygon = Sum of measures of all sides of the polygon

                                                    = AB + BC + CD + DE + EF + FA

                                                    = 9 + 7 + CD + 8 + 4 + 15

                                                    = 43 + CD

Since, CD = AB - EF

                 = 9 - 4

                 = 5 ft

Therefore, perimeter of the given polygon = 43 + 5

                                                                       = 48 ft        

Answer:

23.5

Step-by-step explanation:

First the shaded area is 28 but there is a triangle so we have to solve the area of the triangle. (formula for triangle: B x H x 1/2) 3 times 3=9 divided by 2=4.5

28-4.5=23.5

Answer:

the table part is easy, just copy the number on the left and put the letter written on top ( for a it should be 2a, 4a, 6a and so on)

ii - 3

iii - 1/6

iv - 1/3

Answer:

x = -18

Step-by-step explanation:

Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72

15x - 18 = 12x - 72

Add 18 to both sides: 15x = 12x - 54

Subtract 12x from both sides: 3x = -54

Divide both sides by 3: x = -18

Answer:

x= 17.666666...

Step-by-step explanation:

3(5x - 6) = 6(2x - 12)

(3 times 5x , 3 times  -6)             (6 times 2x, 6 times - 12)

15x-18 = 12x -72           (multiply insides)

-12x       -12x              (remove 12x from right side)

3x-19 = -72                (product)

   +19 = +19                (add 19 left side to remove it)

3x = 53                        (product)

x = [tex]\frac{53}{3}[/tex]                              (divide)

x= 17.666666...                (answer)

x = 17.67                     (if simplify)

Answer:

-19

Step-by-step explanation:

Answer:

7(x - 8)

Step-by-step explanation:

Answer:

3x + y^3 z

3×x+y×y×y×z

there is common 1

1(3×x+y×y×y×z)

factor =1,&(3x+y³z)

Answer:

[tex] a_{n} = (6){3}^{n - 1} [/tex]

Step-by-step explanation:

6, 18, 54

First, recognize that this is a geometric sequence. To find the common ratio, divide the f

second term by the first term.

18/6 = 3

Check this with the second and third term.

54/18 = 3

Your common ratio is 3.

An explicit formula for a geometric equation is:

[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]

We know the first term is 6 and the common ratio is 3. Plug in these values.

[tex] a_{n} = (6) {3}^{n - 1} [/tex]

This is your formula.

Hope this helps!

Answer:

54( 1/3)n-1

Step-by-step explanation:

Answer:

It should be the last one: 57,905.84 inches

Step-by-step explanation:

Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Answer:

The Area of a circle is

[tex]\pi {r}^{2} [/tex]

Therefore the Area of Circle A is

[tex]\pi {8}^{2} \\ 201.06[/tex]

Area of Circle B is

[tex]\pi {10}^{2} \\ 314.16[/tex]

Circle C

[tex]\pi {14}^{2} \\ 615.75[/tex]

Circle D

[tex]\pi {13}^{2} \\ 530.93[/tex]

Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

Answer:

64

Step-by-step explanation:

the red height is 48 by pythagorean, and by 3:4:5 similarity x=64.

Answer:

1. x⁴³/³⁵

2. 1/x⁶

3. x⁴/2

Step-by-step explanation:

1. ⁷√x³. ⁵√x⁴

The above expression can be simplified as follow:

Recall:

ᵐ√aⁿ = aⁿ/ᵐ

⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵

Therefore,

⁷√x³. ⁵√x⁴ = x⁴³/³⁵

2. x¯³ / x⁵x¯²

The above expression can be simplified as follow:

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³

Thus,

x¯³ / x⁵x¯² = x¯³ / x³

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

x¯³ / x³ = x¯³ ¯ ³ = x¯⁶

Recall

a¯ⁿ = 1/aⁿ

x¯⁶ = 1/x⁶

Therefore,

x¯³ / x⁵x¯² = 1/x⁶

3. 5(x⁴)³ / 10x⁸

The above expression can be simplified as follow:

Recall:

(aⁿ)ᵐ = aⁿ×ᵐ

5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2

Therefore,

5(x⁴)³ / 10x⁸ = x⁴/2

Answer:

Answer

is B

10√2

Step-by-step explanation:

is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Answer:

b

Step-by-step explanation:

Answer:

1000

Step-by-step explanation

200+200=400

so

500+500=1000

Answer:

A) - 13 < x < - 1

Step-by-step explanation:

1) Rewrite the inequality without the absolute value.

[tex] - 6 < x + 7 < 6[/tex]

2) Subtract 7 from the whole equation.

[tex] - 6 - 7 < x < 6 - 7[/tex]

3) Simplify.

[tex] - 13 < x < - 1[/tex]

Therefor, the answer is the first option.

Answer:

A) –13 < x < –1

Step-by-step explanation:

|x + 7| < 6

Separate into possible cases

[tex]x + 7 < 6 \\x +7 \geq 0[/tex]

Solve the inequalities

[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]

Find the intersections

[tex]x = (-7, -1)\\x = (-13, -7)[/tex]

Find the union

Answer: A) –13 < x < –1

Answer:7y=-4x+1

Step-by-step explanation:

y=mx+c

-5=-4/7(-9)+c

c=1/7

y=-4/7x+1/7

7y=-4x + 1

Answer:

D. 9.8 Valentines Day!

............

Answer:

a) [tex]y(t) = 350(1.02)^t[/tex]

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

[tex]y = y(0)(1+r)^t[/tex]

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: [tex]y(0) = 350, r = 0.02[/tex]

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

[tex]y(t) = 350(1 + 0.02)^t[/tex]

[tex]y(t) = 350(1.02)^t[/tex]

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

[tex]y(6) = 350(1.02)^6 = 394.2[/tex]

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

Answer:

51

Step-by-step explanation:

51