1.- (picture) 2.-Assuming that the global population is seven billion and that no person receives the letter more than once, the maximum number of mailings is fourteen. Suppose that you are one of the recipients of mailing number 8 and there are ten names on the list (so your five outgoing letters will be in mailing number 9 and there will be nine names above yours on the list). If everyone who receives the letter participates, how much money will you receive?$

→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

Given,

The total cost to repair the watch can be represented by 0.07r + (r – 20), where r represents the original cost of the repair.

Explain what each part of the expression represents in the context of the problem.

Now, According to the question:

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

What each part of the expression represents in the context of the problem include the following:

→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

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To find the average rate of change, we use the following formula

Where a = 1998, f(a) = 856, b = 2001, and f(b) = 1591.

We use the same formula between 2002 and 2006, where a = 2002, f(a) = 1483, b = 2006, and f(b) = 745.

Ok let's talk about some similarities and differences between linear and exponential equations.

In the linear functions the rate of change is constant. While in the exponential fuctions the rate of change is not constant.

In linear function the graph is a straight line. in the exponential fuctions graph is an exponential curve.

In linear functions the placement of the independent variable is is multiplying a coefficient. In the exponential fuctions the placement of the independent variable is as the power of a coefficient.

Answer:

-$0.05

Explanation:

The expected value can be calculated as the sum of each possible prize multiplied by its probability. You will buy a ticket for $1 and there is a probability of 1/1000 to win the $500, a probability of 1/1000 to win $300, and a probability of 1/1000 to win $150, then the expected alue is

Therefore, the expected value is -$0.05.

As ratio is not given, we cannot prove that they are scaled copy.

Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.

Given,

Polygon ZSCH is a Scaled copy of Polygon XJYN.

We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.

As ratio is not given, we cannot prove that they are scaled copy.

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1) Problems like these, we can solve by writing an equation.

2)Since that tomato plant grew 150% after three weeks we can write the following

Note that in the parentheses we have the factor of growth. Since it's 150% we can add to 1 and write 1 +1.5=2.5

3) Thus, the answer is:

The top of the lampshade is circular in shape

The circumference of the top of the shade is 56.52 inches

The starting value of an exponential function is the value that it takes when x=1.

In this case, we can see that y=3 when x=1.

Then, the starting value is equal to 3.

11 +3 + r

11+3 = 14

So 14 + 22 is 36

Ans:36

Hope this helps!

Answer:

Explanation:

Answer:

here you go, but when you go to Kumon you should do the work that they give you, it helps in the long run I promise

----from a former Kumon student, now I grade papers for Kumon

Please mark Brainiest

Answers to page 1 -2

1) 1  1/2

2) 1  1/8

3) 32/63

4) 1  3/40

5) 31/60

6) 11/35

7) 11/35

8) 17/20

9) 1  1/24

10) 27/28

11) 5/6

12) 1/4

Answers to page 3-4

1) 13/24

2) 1  2/45

3) 11/20

4) 2/3

5) 4/5

6) 5/21

7) 1  1/35

8) 67/72

9) 52/165

10) 23/36

11) 9/10

12) 5/6

Those are all the answers. btw the slashes are the line between the fractions if u get what I mean. :)

The term that is the −20,155,392 in the sequence is a₁₀.

The sequence below is a geometric sequence.

Therefore, a geometric sequence can be represented as follows:

nth term = arⁿ⁻¹

where

Therefore, let's find which term is  −20,155,392 for the sequence.

2, -12, 72, -432

r = -12 / 2 = 72 / -12 = -432 / 72 = -6

a = 2

Hence,

nth term = arⁿ⁻¹

−20,155,392 = 2 × -6ⁿ⁻¹

−20,155,392 / 2 = -6ⁿ⁻¹

- 10077696 =  -6ⁿ⁻¹

6ⁿ⁻¹ = 10077696

6ⁿ⁻¹  = 6⁹

n - 1 = 9

n = 9 + 1

n = 10

Therefore, it's the 10th term.

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The term −20,155,392 is the tenth in the given geometric sequence.

The given sequence is below which is in a geometric pattern

2, -12, 72, -432

Here first term (a) = 2

The common ratio (r) = -12 / 2

The common ratio (r) = -6

We know that the nth term of the geometric sequence is

Tₙ = arⁿ⁻¹

Here Tₙ = −20,155,392

⇒ −20,155,392 = arⁿ⁻¹

Substitute the values of a and r in the above equation,

⇒ −20,155,392 = 2 × -6ⁿ⁻¹

⇒ −20,155,392 / 2 = -6ⁿ⁻¹

Apply the division operation,

⇒ - 10077696 =  -6ⁿ⁻¹

⇒ 6ⁿ⁻¹ = 10077696

⇒ 6ⁿ⁻¹  = 6⁹

Equating exponents of the base

⇒ n - 1 = 9

⇒ n = 10

Therefore, the term −20,155,392 would be the tenth in the given sequence.

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After 5 minutes there will be 2.29376 quarts of antifreeze in the system.

Given,

The capacity of the cooling system of a car = 20 quarts

The mixture in the system is 7 quarts of antifreeze and 13 quarts of water.

The running rate of water = 1 gal/min

Homogenous mixture also runs 1 gal/min

We have to find the antifreeze in the system at the end of 5 minutes;

Here,

1 quart = 0.25 gallons

7 x 0.25 = 1.75 gallons of antifreeze

13 x 0.25 = 3.25 gallons of water

1 = 0.2 of 5

0.57344 gallons = 2.29376 quarts

After 5 minutes there will be 2.29376 quarts of antifreeze in the system.

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Explanation

Step 1

when you have a coordinate (x,y) and you want to get the image after a dilationi, make

then

let

coordinate=(-5,1)

dilation scale=5

now, replace

I hope this helps you

First, find the hourly rate by dividing the total wage of $560 by the amount of time worked, which is 40 hours:

To find the hourly rate for overtime, multiply the basic hourly rate by 1.5:

Therefore, the hourly rate for overtime is $21.

SOLUTION

Step 1: Make a more comprehensive sketch of the question.

The measure of CFE is 81 degrees.

ANSWER:

STEP-BY-STEP EXPLANATION:

We can calculate the value of the slope using the following formula:

we replace each value and we will be left with the following:

Let x be the velocity (rate of change ) of one of the buses. We know that the other one travels 16 km/h slower; this means that the second velocity is:

Now the combined velocity would be:

We know that the distance is equal to time by velocity, then we have that:

Solving for x we have:

Therefore the rate of the faster bus is 138 km/h and the rate for the slower bus is 122 km/h.

The standard form in which the equation must be written is -1/4x = 5

Standard form is just another way to write a linear equation equation along with slope intercept form and point slope form.

Standard form appears in the form ax + by = c

Where a, b and c are integers and a must be positive

In the given equation 9 = -1/4x + 4, we can rewrite this into standard equation of line by

-1/4x + 4 = 9

-1/4x + 4 - 9 = 0

-1/4x - 5 = 0

-1/4x = 5

The standard form of the equation is -1/4x = 5

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==================================================

Explanation:

Recall that

i = sqrt(-1)

Squaring both sides gets us

i^2 = -1

Now let's multiply both sides by i

i*i^2 = i*(-1)

i^3 = -i

Repeat the last step

i^3 = -i

i*i^3 = i*(-i)

i^4 = -i^2

i^4 = -(-1)

i^4 = 1

----------------------------

Here's a summary so far

The pattern repeats every 4 items. This means we'll divide the exponent by 4 and look at the remainder.

20/4 = 5 remainder 0

Therefore i^20 = i^0 = 1

Or we can think of it like this

i^20 = (i^4)^5 = 1^5 = 1

----------------------------

This means we can then say

i^3 + i^20 = -i + 1 = 1 - i

To convert 85 degrees to radians, consider:

Let

Then

hello

to solve this question, we need to know how many grains is in 1 gram

now let 300 grains be equal to x grams

300 grains will weigh 19.44g

By using some exponent properties, we will see that the expression can be written as:

a^6

Here we need to use some exponent properties, these are:

Here we have the expression:

(a^(-1)*a^(-2))^(-2)

Using the third property we can write:

(a^(-1)*a^(-2))^(-2) = (a^(-1 - 2))^(-2) = (a^(-3))^(-2)

Now we use the first property:

(a^(-3))^(-2) = a^(-3*-2) = a^6

That is the expression simplified.

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Compound probability = probability of first event * probability of second event

Let the spinning of the spinner be event A(First event)

Recall,

Probability = number of favourable outcomes/total number of outcomes

The numbers lesser than 3 are 1 and 2. thus, favourable outcomes = 2

total outcomes = 5

P(A) = 2/5

For event B(second event)

The coin has only head and tail

P(B) = 1/2

Thus, the probability of spinning a number less than 3 and flipping tails is​

2/5 * 1/2

= 1/5

Solution

Step 1:

Properties of Parallelograms Explained

1. Opposite sides are parallel. ...

2. Opposite sides are congruent. ...

3. Opposite angles are congruent. ...

4. Same-Side interior angles (consecutive angles) are supplementary. ...

5. Each diagonal of a parallelogram separates it into two congruent triangles. ...

6. The diagonals of a parallelogram bisect each other.

Step 2:

The diagonals of a parallelogram bisect each other.

Step 3

Step 4

Final answer

Answer;

Explanation;

Firstly, we need a diagrammatic representation to get what is described in the question.

We have this as follows;

Now, from what we have here, the total angle swept by the pendulum moving from left to right is 28 degrees

To get the area, we simply need to find the area of the sector formed by the by pendulum

Mathematically, we have the area of a sector calculated as follows;

theta is the angle made by the pendulum in one complete swing which is 28 degrees

pi is 22/7

R is the length of the pendulum which is 14 cm

Substituting these values in the formula above, we have it that;

The given inequality is expressed as

We would add 10 to both sides of the inequality. It becomes

We would divide both sides by - 3. This would cause the inequality symbol to reverse. It becomes

The graph would be

The shaded circle at the position of - 2 indicates that- 2 is inclusive

If a2 -2ab + b2 = 9 and a[tex]\begin{gathered} a^2-2ab+b^2=9 \\ a

Step 1

factorize

then