Bill works as a waiter in his keeping track of the tips he earns daily. About how much does bill have to earn in tips on Sunday if he wants to average $22 a day

By translation the point B' on the polygon is (0, -8).

Let us try to answer the question.

The coordinates of point A are as follows: (4, 5)

x = 4 and y

The coordinates of point A' are as follows: (9, -1)

x' = 9 and y' = -1

That is, in the third case above, x increased and y decreased.

The point A has been moved to the right and down.

Using the third rule above (x + h, y - k),

x + h = 9

x = 4

Multiply x by 4.

4 + h = 9

Subtraction of 4 from both sides

4 - 4 + h

= 9 - 4

h = 5

y - k = -1

y = 5

Substitute 5 for y

5 - k = -1

Subtraction of 5 from both sides

5 - 5 - k = -1 - 5

-k = -6

Divide each side by -1.

k = 6

In the third case, the translation is (h, -k).

h = 5 and k = 6

The literal translation is (5, -6)

To find B' the image of the point B

B = (-5, -2)

B' = (x + h, y - k)

B' = (-5 + 5, -2 - 6)

B' = (0, -8)

The complete question is :

" A and B are points on a polygon. A' B' are points of the polygon under a translation. Find B'.

A(4,5) A' (9,-1)

B (-5,-2) B' (0,-8)​."

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The following statement are true:

It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

Using the formula

time for doubling money= 72/R

So, 72/12 = 6 years

Thus, It will take 6 years to double the investment. This statement is true.

So, 72/18 = 4 years

Thus, It will take 4 years to double the investment. This statement is not true.

so, 72/8= 9 years.

Thus, It will take 9 years to double the investment. This statement is true.

So, interest = PRT/100

I  = (2000 × 0.05 × 20)

I = $2000

Thus, This statement is true.

Interest = ( 700 × 0.06 × 12 ) = $504

Amount after 12 years

=700 + 504

= $1204.

Thus, This statement is not true.

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Answer:

h(x) = (x+8)^3

Step-by-step explanation:

1. Graph all of these options and h(x) = x^3

(Second one does not make sense: h(x) = 23-8 = 15

2. Answer is found

Answer:

h(x)= (x+8)3 answer C

Step-by-step explanation:

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

First rearrange and solve for sqrt of 25(which is 5)

ƒ(x)= -x^2-5

range: y\(\le\)5

domain: x x=can be anything because all values are defined

This method of observing the behaviour of each group of children is best characterized as experimental.

Experimental research is a study worked with a scientific approach using two sets of variables. The first set works as a constant, which we use to measure the differences of the second set.

This can be regarded as something that depends on other factors, such as a test score, which can be considered a dependent variable because it could change depending on several factors, such as how much you studied.

It should be noted that dependent and independent variables are variables in mathematical modelling and experimental sciences; however, the dependent variables can be seen as ones whose values are studied under the supposition.

Hence the correct option is a.

--The given question is incomplete; the complete question is

"A researcher randomly assigned boys and girls to each of two groups. One group watched a violent television program, while the other watched a nonviolent one. The children were then observed during free play, and the incidence of aggressive behaviour was recorded for each group. This method is best characterized as"--

a. Experimental

b. Case study

c. Correlational

d. Observation"--

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The value of x is 58.51 degree.

We have,

Perpendicular= 8

Base = 4.9

Using trigonometry

tan x = Perpendicular/ Base

tan x = 8/4.9

tan x= 1.63265306122449

x = 58.51253064

Thus, the value of x is 58.51 degree.

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

(a) Given any real number r, there is a real number s such that s is greater than  r.

(b) For any real number r, there exists a real number s such that s > r.

(a) For some real number r, there exists another real number s such that s is greater than r.

Complete statement is, Given any real number r, there is a real number s such that s is greater than r.

(b) For real number r, there exists another real number s such that s is greater than r, represented as s> r.

Complete statement is, For any real number r, there exists a real number s such that s>r.

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\( log_{a}( {b})^{c} = c \times log_{a}(b) \)

_____________________________________________

\( log_{2}( {6})^{x} = x \times log_{2}(6) \)

Thus the last option is the correct answer.

Answer:

b

4 x 3.2 = 12.8

17.8 - 5 =12.8

so,

4 x 3.2 = 17.8-5

12.8=12.8

Check the picture below.

Answer:None

Step-by-step explanation:

Excel tells me that all of the numbers have terminating decimals.  One might ask for a definition of what is considered terminating.  Is 1/14=

0.0714285714285714000000000 going too many places before concluding it is not terminating?

X                               1/X

16 0.0625000000000000000000000

14 0.0714285714285714000000000

2 0.5000000000000000000000000

6 0.1666666666666670000000000

50 0.0200000000000000000000000

30 0.0333333333333333000000000

8 0.1250000000000000000000000

40 0.0250000000000000000000000

20 0.0500000000000000000000000

5 0.2000000000000000000000000

100 0.0100000000000000000000000

625 0.0016000000000000000000000

25 0.0400000000000000000000000

45 0.0222222222222222000000000

125 0.0080000000000000000000000

12 0.0833333333333333000000000

32 0.0312500000000000000000000

7 0.1428571428571430000000000

28 0.0357142857142857000000000

24 0.0416666666666667000000000

64 0.0156250000000000000000000

11 0.0909090909090909000000000

4 0.2500000000000000000000000

21 0.0476190476190476000000000

Answer:

B. What was the highest temperature this month?

Step-by-step explanation:

Rory is recording the highest temperature for the duration of the day for month's worth of data.

B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.

A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.

C. is the opposite of what Rory had recorded, and without data, he cannot answer it.

D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.

~

we solved the value x is 11 miles. So, Sydney traveled 11 miles by taxi.

The algebraic equation having one variable which refers to an unknown number is called equation with one variable. it is the simplest form of an equation.

In order to determine the unknown number, we create an equation based on the statement given. A variable is used to identify the number.

Finally, equation solved with the help of given data.

Given, pick-up fee =$1.60

cost per mile =$1.75

total taxi fare =$20.85

Let, Sydney travelled x miles by taxi

so the equation is $1.60+$1.75x = $20.85

now we solve the equation, 1.75 x = 19.25

                                        x= 11

hence, he travelled 11 miles by taxi

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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Answer:

5

Step-by-step explanation:

jnjknmnj

Answer:

Step-by-step explanation:

multiply by .1  which means move decimal over once

4.8

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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There are 36 possible outcomes from rolling a die twice (or two dice once) and these result in sums from 2 to 12.

Possible ways to make a sum of 2: 1

Possible ways to make a sum of 3: 2

Possible ways to make a sum of 4: 3

Possible ways to make a sum of 5: 4

Possible ways to make a sum of 6: 5

Possible ways to make a sum of 7: 6

Possible ways to make a sum of 8: 5

Possible ways to make a sum of 9: 4

Possible ways to make a sum of 10: 3

Possible ways to make a sum of 11: 2

Possible ways to make a sum of 12: 1

This means there are 21 ways to make a sum greater than 6.

21/36 ≈ 58.33%

There are 24 ways to make sums that are not divisible by 3 and not divisible by 6.   (Note that if a number isn't divisible by 3, it's also not divisible by 6, so that's a weird thing to include.)

24/36 ≈ 66.67%

37 million can be written as 3.7 × 10⁶ in the power of ten exponent notation.

In scientific notation, a number is written as the product of a coefficient and a power of ten.

To convert 37 million to scientific notation, we need to move the decimal point to the left until we have a number between 1 and 10.

Starting with 37 million, we can move the decimal point six places to the left to obtain the number 3.7:

= 37,000,000 -> 3.7

Now, we express this number as a product of the coefficient (3.7) and 10 raised to the power of the number of places we moved the decimal point.

In this case, since we moved the decimal point six places to the left, the exponent of ten is 6:

37 million = 3.7 × 10⁶

Therefore, 37 million can be written as 3.7 × 10⁶ in the power of ten exponent notation.

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The sequence \({fn(x)gn(x)}\)  uniformly converges, as desired.

To prove that the sequence \({fn(x)gn(x)}\) uniformly converges, we need to show that for every ε > 0, there exists an integer N such that for all n ≥ N and all x in the domain of the functions, |fn(x)gn(x) - [fn(x)gn(x)]_N| < ε.

Since {fn(x)} and {gn(x)} are uniformly convergent sequences, we know that for every ε > 0, there exist integers N1 and N2 such that for all n ≥ N1 and all x in the domain of the functions, |fn(x) - [fn(x)]_N1| < ε/2, and for all n ≥ N2 and all x in the domain of the functions, |gn(x) - [gn(x)]_N2| < ε/2.

Since {fn(x)} and {gn(x)} are also uniformly bounded, there exists a positive constant M such that |fn(x)| ≤ M and |gn(x)| ≤ M for all x in the domain of the functions.

Now, let ε > 0 be given. Choose N = max(N1, N2). Then for all n ≥ N and all x in the domain of the functions, we have:

\(|fn(x)gn(x) - [fn(x)gn(x)]_N|\\= |fn(x)gn(x) - fn(x)[gn(x)]_N + fn(x)[gn(x)]_N - [fn(x)gn(x)]_N| \\= |fn(x)(gn(x) - [gn(x)]_N) + ([fn(x)]_N - fn(x))[gn(x)]_N|\\= |fn(x)(gn(x) - [gn(x)]_N)| + |([fn(x)]_N - fn(x))[gn(x)]_N|\\= |fn(x)| |gn(x) - [gn(x)]_N| + |([fn(x)]_N - fn(x))| |[gn(x)]_N|\\\leq M |gn(x) - [gn(x)]_N| + M |[fn(x)]_N - fn(x)|\)

< M ε/2 + M ε/2

= ε

This shows that the sequence {fn(x)gn(x)} uniformly converges, as desired.

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Answer:

sim eu também preciso desta respota