Find the missing side length.

Answer:B number of hours worked

Step-by-step explanation:

It says after she puts in her next paycheck therefore she needs to work hours to get paid

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

Explanation:

The side opposite angle A is BC = 8. This side is as far as you can get from angle A.

The hypotenuse is the longest side, and always opposite the 90 degree angle. The hypotenuse is AC = 10.

We can then say,

sin(angle) = opposite/hypotenuse

sin(A) = BC/AC

sin(A) = 8/10

sin(A) = (4*2)/(5*2)

sin(A) = 4/5 which points to choice B as our answer.

(a) The radius of the Ferris wheel is 50 feet, the equation for the height of the seat from the ground as a function of time can be expressed as follows: h(t) = 100 + 50 sin(2πt/12)

(b) The function h(t) can be expressed in the form h(t) = 100 + 50sin((π/6)t).

To graph the height of the seat from the ground as a function of time, we can consider the position of the seat on the Ferris wheel as it rotates. The highest point on the wheel can be thought of as the reference point, so we need to determine how the position of the seat changes with time relative to the highest point.

Let's break down the problem step by step:

(a) To begin, let's determine the position of the seat at time t = 0. We know that the highest point on the wheel is exactly 100 feet above the ground. Since the seat starts at the 9 o'clock hour-hand position, it is located at the same height as the highest point. Therefore, at t = 0, the seat is also 100 feet above the ground.

Next, let's consider the motion of the seat as the wheel rotates. The Ferris wheel completes one full rotation in 12 minutes. This means that it completes 2π radians (a full circle) in 12 minutes.

Since the radius of the Ferris wheel is 50 feet, the equation for the height of the seat from the ground as a function of time can be expressed as follows:

h(t) = 100 + 50 sin(2πt/12)

The term 2πt/12 represents the angle at time t as a fraction of the total angle for one full rotation (2π radians) over the duration of one full rotation (12 minutes). Multiplying this angle by the radius (50 feet) gives us the vertical displacement of the seat from the highest point.

(b) Now, let's express the function h(t) in the form h(t) = A + Bsin(Ct + D).

Comparing the given equation h(t) = 100 + 50 sin(2πt/12) with the general form h(t) = A + Bsin(Ct + D), we can determine the corresponding values:

A = 100 (the vertical displacement from the highest point at t = 0)

B = 50 (the amplitude, which is half the vertical distance between the highest and lowest points)

C = 2π/12 = π/6 (the frequency, which determines the rate of oscillation)

D = 0 (the phase shift, since the wheel starts rotating at t = 0)

Therefore, the function h(t) can be expressed in the form h(t) = 100 + 50sin((π/6)t).

This equation represents the height of the seat from the ground as a sinusoidal function of time, where A = 100 represents the mean height, B = 50 represents the amplitude, C = π/6 represents the frequency, and D = 0 represents the phase shift.

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So on solving the provided question, we can say that here in the quadrilateral; angle MJL = angle JLK = 60

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here in the quadrilateral

angle MJL = 60

angle MJL = angle JLK = 60

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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For the reflection,

X: (3,-3)

Y: (-2,-2)

Z: (-3,5)

For the translation,

X: (0,1)

Y: (-5,2)

Z: (-6,9)

After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.

We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
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The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8

Answer:

a) XY and BD are paralel and they are on the same side in relation to AB line

b) Lines XB and XC have the same size and are supported by the same line BC, therefore XBC and XCB have the same angles, therefore XCB is also 55º.

The sum of all angles of a triangle is 180 so BXC is 180 - 55 - 55.

180 - 110 = 70º
BXC = 70º... probably

Step-by-step explanation:

Answer:

3200 = 168x + 8

Step-by-step explanation:

$3200 is the total sales in dollars, so we're going to plug that in for y (it says in the equation that y represents the total sales in dollars). And the rest of the equation stays the same.

I hope this helped!

Answer:

The answer is c (Divide 3,192 by 168)

Step-by-step explanation:

I got it right (:

Answer:

A.18cm

Step-by-step explanation:

hope it can help

goodluck

Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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Answer:

$15.90

Step-by-step explanation:

$6.36(2.5)=15.90

multiply price per pound times 2.5.

Answer:

181

Step-by-step explanation:

Answer:

21=

31=

41=

51=

S17=

Answer:

Step-by-step explanation:

i dont know  if this helped u but if it did let me know

The Implied Equity Risk Premium (ERP) is generally considered a better predictor of future equity risk premium

Implied Equity Risk Premium is derived from the current market prices of stocks and other securities. It represents the difference between the expected rate of return on equities and the risk-free rate of return. Investors' expectations about future returns are embedded in market prices, so the implied ERP reflects the collective wisdom and expectations of market participants. It takes into account current market conditions, investor sentiment, and other relevant factors, making it a forward-looking indicator.

On the other hand, historical geometric average and historical arithmetic average equity risk premium are calculated based on past performance data. While historical averages provide valuable insights into the past behavior of equity risk premium, they may not fully capture the changing dynamics of the market or reflect future expectations.

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Answer:

17cm²

Step-by-step explanation:

i hope it's helpful

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

A lot of money, fam.

Answer:

3x²+6x+2

Step-by-step explanation:

f(x)+g(x)-h(x)

=(3x+5)+(4x²-2)-(x²-3x+1)

=3x+5+4x²-2-x²+3x-1

=6x²+2+3x

=3x²+6x+2 (rearrange)

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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On solving the provided question, we cans ay that by standard deviation, \(SE = 0.1590 (approx.)\)

Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.

By sample standard deviation, we mean standard error. Hence, we have that:

Therefore, Standard deviation\(= 0.6929891\)

The sample size \((n) = 19.\)

Hence:

\(SE = 0.1589826.\\ SE = 0.1590 (approx.)\)

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ok

1.- Calcualte the total price for 19 sticks

price = 19 x 26

= $494

2.- Conclusion

there is not enough money to buy the sticks the total cost is

$494 and he only has $480.

3.- He needs 494 - 480 = $14 more money

(5,2)

Explanation

Step 1

if you have 2 points P1 and P2 , the midpoint is given by:

where

Let

T=(9,8)

Midpoint(7,5)

U=unknown

Step 2

replace

Step 3

solve for x and y

and

I hope this helps you

Answer:

D) $0 Per Month.

Step-by-step explanation:

In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.

Hope this helps!

The start = 1 is the number of rabbit pairings after one month. Each female rabbit births three pairs of rabbits starting in the third month. We can count rabbit pairs at month's end by analysing the trend. After a year, we can count all rabbits, male and female.

a. The initial condition So = 1 represents the number of rabbit pairs alive at the end of the first month. This means that initially, there is one pair of rabbits in the field.

b. To compute the number of rabbit pairs at the end of each month, we follow the given rules. After the first month, the pair of rabbits is still too young to reproduce, so S1 remains 1. In the second month, they still cannot reproduce, so S2 remains 1 as well. However, at the end of the third month, the female rabbit can give birth, resulting in three new pairs of rabbits. Therefore, S3 becomes 1 (initial pair) + 3 (new pairs) = 4. In the fourth month, each of the four female rabbits can give birth, resulting in 3 * 4 = 12 new pairs. So, S4 becomes 4 (existing pairs) + 12 (new pairs) = 16. Following this pattern, we can calculate S5, S6, and so on.

c. We can observe a recurrence relation in the sequence: Sn = Sn-1 + 3 * Sn-3, where n > 3. This relation states that the number of pairs at the end of the nth month is equal to the number of pairs at the end of the previous month (Sn-1) plus three times the number of pairs three months ago (Sn-3).

d. To find the total number of rabbits at the end of the year, we sum up the number of rabbit pairs for each month from the 1st to the 12th month. At the end of the 12th month, we can calculate the total number of rabbits by multiplying the number of pairs by 2 (to account for both male and female rabbits in each pair).

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When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.

When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.

Let the expression be |9-5| - |5-9|

Subtracting the numbers, we get

|9-5| - |5-9| = |4| - |-4|

simplifying the above expression, we get

= 4 - 4

= 0

Therefore, the correct answer is option D. 0.

The complete question is:

Simplify |9-5| - |5-9|

A. -8

B. -6

C. -4

D. 0

E. 8

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There are many expressions that are equivalent to 4y + 12, which can be obtained by using algebraic operations to manipulate the expression while maintaining its value. Here are a few examples:

12 + 4y

2(2y + 6)

4(y + 3)

8y/2 + 12

4(y + 3) - 3y + y

2(2y + 6) + 2(y - 3)

4y + 9 + 3

4y - 4 + 16

These are just a few examples. There are many other expressions that are equivalent to 4y + 12, depending on what operations you apply and how you choose to represent them.

In mathematics, an expression is a combination of mathematical symbols, numbers, and/or variables, that represents a value or a relationship between values. It may include arithmetic operations such as addition, subtraction, multiplication, and division, as well as algebraic operations such as powers, roots, and logarithms.

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Answer:

The equation would be: 2.27 + j = 51.23 and j = 2.04

Step-by-step explanation:

1. You will do 51.23 - 2.27, which equals 48.96

2. Then, you will divide 48.96 by 24, this equals 2.04  

Hope this helps!

An equation is formed of two equal expressions. The cost of each bottle of juice is $2.04.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Emma bought a bag of hips for $2.27 and a 24-pack of juice bottles. The total cost before tax was $51.23. Therefore, the equation for the total cost can be written as,

Total cost = Cost of a bag of hips + (Number of Juice bottles × Cost of Juice bottles)

$51.23 = $2.27 + (24 × j)

51.23 - 2.27 = 24j

24j = 48.96

j = 48.96 / 24

j = 2.04

Hence, the cost of each bottle of juice is $2.04.

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Answer:

The console was used 42,504 watt-hours of energy last year

Step-by-step explanation:

video game console uses 154 watt-hours of energy each hour

The console was used 276 hours last year.

How many watt-hours of energy did the console use?

Watt hours of energy used = 154 × 276

= 42,504 watt-hours of energy

The console was used 42,504 watt-hours of energy last year