question 16. You sent an email to 8 friends. They each forwarded the email to 8 friends, and those friends each forwarded the email to 8 friends. The chain of emails is represented by the expression 8+8²+8³. How many people were sent your email.

Answer:

[tex]m\angle{W} = {75{^\circ}}[/tex]

[tex]m\angle{Y} = {15{^\circ}}[/tex]

[tex]m\angle{Z} = {90{^\circ}}[/tex]

Step-by-step explanation:

All angles in a triangle must add up to [tex]180{^\circ}[/tex]

First we can use an equation to find [tex]x[/tex]

[tex](x - 15) + (2x - 165) + 90 = 180[/tex]

[tex]3x - 180 = 90[/tex]

[tex]3x = 270[/tex]

[tex]x = 90[/tex]

Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution

[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]

[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]

Now we can classify the triangle

It is right because it has a [tex]90{^\circ}[/tex] angle

These are the answers

- Kan Academy Advanced

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Based on the attached photo and explanation below, the price should not be increased at all.

Note: See the attached photo for the calculation of Revenues at Different Number of Customers and Prices.

Every other being equal, profit is maximized when revenue is at the maximum,

From the attached photo, it can be seen that revenue is at the maximum or the highest when the price is $10 and the number of customers is 1,000.

Increasing the price in increments of a dollar results in a fall in revenue progressively until it reaches $0.

Therefore, the price should not be increased at all.

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Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

Answer:

Step-by-step explanation:

Comment

The general formula for a tangent and secant is

tangent^2 = external segment * full length of the secant.

Givens

tangent length = x

external segment = 7

secant length = 7+ 21

Formula

x^2 = 7 * (7 + 21)                         Remove brackets

x^2 = 7 * 28                                Combine

x^2 = 196                                    Take the square root of both sides

√x^2 = √196

x = 14

Answer: x = 14

Answer:

2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer: 2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer:

To solve this question, you simply apply algebraic formulas to geometric relationships.

The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.

Simply add the length of the sides up.

[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter

Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.

3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2

19x + 0 (-2-2 + 3+1 cancel out)

The perimeter of this pentagon is 19x.

Step-by-step explanation:

HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

That is representative of all possible outcomes from flipping the coin

Answer:

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Step-by-step explanation:

Step 1:  Subtract 5x from both sides

[tex]5x - 4y = 12[/tex]

[tex]5x - 5x - 4y = 12 - 5x[/tex]

[tex]-4y = 12 - 5x[/tex]

Step 2:  Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]

Answer:

r = 9 units

Step-by-step explanation:

since AB is a tangent to the circle at B , then ∠ ABO = 90°

so Δ ABO is a right triangle

using Pythagoras' identity in the right triangle

OB² + AB² = AO² , that is

r² + 12² = 15²

r² + 144 = 225 ( subtract 144 from both sides )

r² = 81 ( take square root of both sides )

r = [tex]\sqrt{81}[/tex] = 9

Answer:

8,327.8 - 12.034 = 8315.766

923.01 + 74.289 = 997.299

hope this helps:)

The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution

The solution of the equation can be found as follows;

√x+2 + 4 = 6

subtract 4 from both sides

√x+2 + 4 - 4 = 6 - 4

√x+2  = 2

square both sides

(√x+2)² = 2²

x + 2 = 4

x= 4 - 2

x = 2

Therefore the solution is x = 2 and it is not a extraneous solution.

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Hey there!

Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!

So, the correction equation should be:

|-56| = |56|

Answer: =

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 9,156.24 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:

r = 9

h = 36

V = π(9)²×36

= 81 × 36 × π

= 2916π

= 9,156.24 ft³

Answer:

$4,273.50

Step-by-step explanation:

Multiplying the total sale amount by 55% commission :

The critical points for the inequality x²-5x+6 is x= 2 and x = 3.

In calculus, a critical point of a function is a point where the derivative of the function is either zero or undefined.

These points are important in determining the maximum and minimum values of a function, and can also help identify points of inflection and other important features of a curve.

To find the critical points for the inequality x²-5x+6, we need to find the values of x that make the expression equal to zero (i.e., the roots of the quadratic equation).

We can factor the expression as (x-2)(x-3) and set each factor to zero to find the critical points:

x-2 = 0 or x-3 = 0

x = 2 or x = 3

So the critical points are x = 2 and x = 3.

Therefore, the answer is x= 2 and x = 3.

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Answer:

153.86cm^2

Step-by-step explanation:

area of a circle= πr^2

where r = radius= 14/2= 7miles

area= 3.14×(7×7)

area= 3.14×49= 153.86cm^2

Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

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Given

To find

We can see MN is intercepted by the angle MPN.

Inscribed angle is half the measure of intercepted arc

The answer is mMN = 70°

Given

To find

See the solution with reasons for each line

So the answer is m∠COD = 120°

Answer:

z = 58 mm

Step-by-step explanation:

Volume of the rectangular prism :

Solving :

Answer:

z = 58 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for z:

122,264 = 62 × z × 34

122,264 = 2108z

122,264/2108 = 2108z/2108

58 = z

Final answer: 58 mm

Hope this helps!

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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Answer:

option 1, 2

Step-by-step explanation:

since R is between Q and S

____________________

Q    (3x+6)     R    (5x-2)    S

--------------(12x - 4)-------------

Q                                       S

so

QR + RS = QS

[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]

Answer:

2

Step-by-step explanation:

It mentions R is between points Q and S.

Hence, QR + RS = QS.

Using the relative frequency concept, it is found that:

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

The number in the cell has bounds conversible and Pluto Cars, and the table represents the amount earned, that is, revenue, hence option b is correct.

The total revenue of Pluto Cars is of $80 million, with convertibles corresponding to $18 million, hence the relative frequency is given by:

r = 18/80 = 0.225.

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Answer:

The first one is 1/2.

The second blank is 1 1/6

The third blank is 3/2

The fourth blank is 5/3

The fifth blank is 2 2/3.

The sixth blank is 2 5/6.

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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The length of the sides of the square are 8 centimetres and 12 centimetres respectively

area = l²

where

Therefore,

x² + y² = 208

perimeter = 4l

4x + 4y = 80 cm

x + y = 20

x = 20 - y

(20 - y)² + y² = 208

y² - 40y + 400 + y² = 208

2y² - 40y + 192

y² - 20y + 96

(y - 12)(y - 8)

Therefore, y  = 12 and y = 8

when y = 8

x + 8 = 20

x = 12

when y = 12

x + 12 = 20

x = 8

Therefore, the length of the sides of the square are 12 cm and 8 cm.

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Answer:

*These Should be the correct answers*

1.C

2.D

Step-by-step explanation: