Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns. she wants to meet these requirements: - exactly a quarter of the circle should contain the ""lose a turn"" region. - ""move one space"" should be three times the angle as ""move two spaces"". - ""move two spaces"" should be twice the angle as ""trade places with any opponent"". what is the measure of the ""trade places with any opponent"" region?

The following statement which are true are Kayla's opportunity cost to go to the movie is $9.50 and Tara's total cost of attending the movie is $50.5, option B, D.

Tara earns $8.50 per hour

She is scheduled to work for 4 hours

Total earnings=$8.50 × 4

=$34

Tara's opportunity cost of attending the movie instead of working is $34

Since, a ticket cost $9.50

And she always spend about $7 on snacks

Tara's total cost of going to the movies = opportunity cost of attending the movie + cost of tickets + cost of snacks

=$34 + $9.50 + $7

=$50.5

Opportunity cost refers to the cost of satisfying a want at the expense of another want. It can also be called REAL COST or TRUE COST.

Therefore,

2. Kayla's opportunity cost to go to the movie is $9.50

4. Tara's total cost of attending the movie is $50.5

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Complete question:

Tara earns $8.50 an hour (after taxes) at the pizza place. She is scheduled to work four hours this afternoon. However, her friend Kayla called and asked her if she wants to go to the movie. A ticket to the movie costs $9.50. In addition, she always spends about $7 on snacks.

Which of the following statement are true? Select all that apply.

1. Tara's opportunity cost if she goes to work instead of the movie is $34.

2. Kayla's opportunity cost to go to the movie is $9.50.

3. There is no opportunity cost for Tara to go to the movie.

4. Tara's total cost of attending the movie is $50.5

5. Tara's opportunity cost if she goes to the movie instead of working is $34

The cost of the fabric will be $55.63.

To find the cost of the fabric, you need to first determine the total area of the fabric needed to make the patio umbrella. Since the patio umbrella is in the shape of a regular hexagon, it can be divided into six congruent equilateral triangles. The formula for the area of an equilateral triangle is A = (sqrt(3)/4)*s^2, where s is the length of one side of the hexagon.

Let's assume the length of one side of the hexagon is x. Then the area of one of the equilateral triangles is A = (sqrt(3)/4)x^2. Since there are six of these triangles in the hexagon, the total area of the hexagon is 6A = 6(sqrt(3)/4)*x^2 = (3sqrt(3)/2)*x^2.

To determine the amount of orange fabric needed, you can multiply the area of the hexagon by the number of square yards in one square foot and round up to the nearest whole number of square yards. Similarly, you can do the same for the white fabric.

Let's say the hexagon has a side length of 6 feet, so x=6ft. Then the area of the hexagon is (3sqrt(3)/2)*(6ft)^2 = 93.53 square feet. Converting square feet to square yards gives 10.39 square yards. Therefore, you need to order at least 11 square yards of each fabric.

The cost of the orange fabric is $s. 75 per square yard, so 11 square yards will cost 11 * $s. 75 = $28.13. The cost of the white fabric is $2.50 per square yard, so 11 square yards will cost 11 * $2.50 = $27.50. Therefore, the total cost of the fabric will be $28.13 + $27.50 = $55.63.

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The range of the equation y = x² + 2x -5 where -3 ≤ x ≤ 3 is [-3,10]

The function is y = x² + 2x -5

Domain of x is [-3,3]

By putting the value of x = -3

y = (-3)² + 2(-3) - 5

y = 9 - 6 -5

y = -2

Minimum possible value is -2

And by putting the value of x = 3

y = 3² + 2(3) -5

y = 9 + 6 -5

y = 10

Maximum possible value is 10

The value of y ranges between -2 ≤ y ≤ 10

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The question is incomplete the complete question is :

If y =  = x² + 2x -5 for  -3 ≤ x ≤ 3  then what will be the range of y ?

The repulsion between two negatively charged objects is an indication that the other object must be negatively charged. Thus, the correct answer is B: It has a negative charge.

This is due to the fact that like charges repel each other, while opposite charges attract each other. In this case, the negatively charged balloon repels the other balloon, indicating that the other balloon is also negatively charged. So, the correct answer is B).

The other options are incorrect. Option A is incorrect because both balloons cannot be positively charged as they would attract each other, not repel. Option C is incorrect because an uncharged object would not repel a negatively charged object. Option D is incorrect because a positively charged object would attract the negatively charged balloon, not repel it.

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The function h is given by h(x)=log2(x² -6). The positive value of x that makes h(x) equal to 4 is approximately 4.69

We have the function:

h(x) = log2(x² - 6)

We want to find the value of x that makes h(x) equal to 4:

h(x) = 4

log2(x² - 6) = 4

We can rewrite this equation as:

2⁴ = x² - 6

16 = x² - 6

x²= 22

x = √22 (because we are looking for a positive value of x)

Therefore, the positive value of x that makes h(x) equal to 4 is approximately 4.69 (rounded to two decimal places).

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Check the picture below.

[tex]6^2=[4+(2x+5)](4)\implies 36=(9+2x)(4)\implies \cfrac{36}{4}=9+2x \\\\\\ 9=9+2x\implies 0=2x\implies \cfrac{0}{2}=x\implies 0=x~\hfill \stackrel{ 2(0)+5 }{{\Large \begin{array}{llll} GH=5 \end{array}}}[/tex]

The total cost after discount and tax is $46.28.

To find the total cost after the discount and tax, we need to first find the subtotal before tax.

Fred bought two pairs of jeans for $17.99 each, so the cost of the jeans is $17.99 x 2 = $35.98.

He also bought three shirts at $5.99 each, so the cost of the shirts is $5.99 x 3 = $17.97.

The pack of socks costs $3.

The subtotal before discount is $35.98 + $17.97 + $3 = $57.95.

With the 25% off coupon, Fred gets a discount of $57.95 x 0.25 = $14.49.

The new subtotal after discount is $57.95 - $14.49 = $43.46.

Finally, we need to add the 6.5% sales tax.

The sales tax is $43.46 x 0.065 = $2.82.

The total cost after discount and tax is $43.46 + $2.82 = $46.28.

Therefore, the closest answer is C: $45.49.

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This question can be answered as follows:

-4 + 12 = 8

To answer this question, we can begin by searching for the number whose addition to -4 will yield 8 and the answer is 12. To determine the answer, we can first begin by assigning the figure x to the unknown variable. Thus, we will have:

-4 + x = 8

We collect like terms:

x = 8 + 4

= 12

So, the number that when added to -4 will yield 8, is 12. So, to find a missing number, we assign it a variable and equate to the specified end result.

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Answer:

it's ither 1 2 or 4 I'm still thinking but I'm pretty sure it's one of those answers

The completed table of equivalent ratios would be:
13.5 square meters : 3 liters of paint
4.5 square meters : 1 liter of paint
45 square meters : 10 liters of paint.

To find the missing ratios, we need to set up proportions using the given information.

13.5 square meters is covered by 3 liters of paint, so we can write:

13.5/3 = ?/1

To solve for the missing ratio, we can cross-multiply:

13.5 x 1 = 3 x ?

? = (13.5 x 1) / 3

? = 4.5

So, 4.5 square meters can be covered by 1 liter of paint.

To find the last missing ratio, we can use the same method:

13.5/3 = ?/10

10 x 13.5 = 3 x ?

? = (10 x 13.5) / 3

? = 45

So, 45 square meters can be covered by 10 liters of paint.

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The circle's x value will continue to be the same as the arc ST. So, x has a value of 40 degrees.

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Every point on a circle is a geometric shape that is equally separated from the centre.

The location of any point that is evenly separated from the fixed point known as the circle's centre can also be characterised as it.

The distance from any point on a circle to the centre is known as the radius of the circle.

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The exact value of the trigonometric function is cos θ = (√3 + 1) / 2√2.

In this problem we find the exact value of a trigonometric function, from which we need to determine the exact value of another trigonometric function. This can be done by using definitions of trigonometric functions:

tan θ = y / x

cos θ = x / √(x² + y²)

Where:

If we know that y = √3 - 1 and x = √3 + 1, then the exact value of the other trigonometric function is:

cos θ = (√3 + 1) / √[(√3 + 1)² + (√3 - 1)²]

cos θ = (√3 + 1) / √(3 + 2√3 + 1 + 3 - 2√3 + 1)

cos θ = (√3 + 1) / √8

cos θ = (√3 + 1) / 2√2

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The answer is option B: (0.221-0.27).

Using the formula for a confidence interval for a proportion:

p± z*√(p(1-p)/n)

where p is the sample proportion (12/45 = 0.267), z* is the z-score for the desired confidence level (99% corresponds to a z-score of 2.576), and n is the sample size (45).

Substituting the values, we get:

0.267 ± 2.576*√(0.267(1-0.267)/45)

which simplifies to:

0.267 ± 0.195

Therefore, the 99% confidence interval for the true proportion of times the number cube would land with a six facing up is (0.072, 0.462).

So the answer is option B: (0.221-0.27).

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Answer :The maximum profit is $1,650 when making 5 organza dresses and no lace dresses per week.

Explanation:

Let x represent the number of organza dresses, and y represent the number of lace dresses.

The time constraint for cutting:
3x + 6y ≤ 30

The time constraint for sewing:
6x + 3y ≤ 33

The profit function to maximize is:
P(x, y) = 330x + 190y

Using these constraints,
3x + 6y ≤ 30
6x + 3y ≤ 33
x ≥ 0
y ≥ 0

Optimal solution:

The corner points of the feasible region are (0,0), (0,5), (3,3), and (5,0). Calculate the profit for each point:

P(0,0) = 0
P(0,5) = 950
P(3,3) = 1,320
P(5,0) = 1,650

The maximum profit is $1,650 when making 5 organza dresses and no lace dresses per week.

Answer:

It took 13 weeks for Jill to get 1275.00 in her savings account

Step-by-step explanation:First off you subtract 1275-300=975.After that you will divide 975 from 75 975÷75=13.So 13 is your final answer.

Answer:

32

Step-by-step explanation:

There are 28 full shaded squares

There are 8 half squares

2 half squares make up 1 full square

So 28 + 4 = 32

Area is 32 units

the final result will be 3n + 21

what is ditribustion propety?

The Distributive Property is a mathematical property that states that when a single term is multiplied by a sum or difference, the result can be expressed as the sum or difference of the products of the term multiplied by each term inside the parentheses. It is often used to simplify expressions and equations in algebra. 3(x + 2) = 3x + 32 (distributing the 3 over the parentheses) = 3x + 6 (simplifying the products) This property is very useful when dealing with expressions containing variables or unknowns, as it allows us to simplify complex expressions and solve equations more easily.

using distribution propety

3(n + 7)

= (3)(n) + (3)(7)

= 3n + 21

Hence the final result will be 3n + 21

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The area of the outer circle and of the inner circle is :  πr² and,  πx².

Then subtract the area of the inner circle from the outer circle is :

π (r - x) (r+x)

Here, we have,

Given:

Let the radius of outer circle i.e CA be r

Let the radius of inner circle i.e CB be x

The diagram is given below as attachment.

We know that,

area of circle = πR²

Then subtract the area of the inner circle from the outer circle is:

The area of the outer circle - area of the inner circle

= πr² -  πx²

= π (r² - x²)

=π (r - x) (r+x)

So, we get

Then subtract the area of the inner circle from the outer circle is:

π (r - x) (r+x)

Hence, The area of the outer circle and of the inner circle is :  πr² and,  πx².

Then subtract the area of the inner circle from the outer circle is :

π (r - x) (r+x)

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Answer: Finally, translate the circles back to their original positions. This will not change their similarity. Therefore, ⊙O and ⊙P are similar.

Step-by-step explanation:

To construct a circle circumscribed about triangle △DEF, follow these steps:

Draw the perpendicular bisectors of the sides of the triangle. Each bisector should intersect the opposite side of the triangle at a point.

Find the point of intersection of any two perpendicular bisectors. This point is the center of the circle.

Measure the distance from the center to any of the vertices of the triangle. This distance is the radius of the circle.

Draw the circle with the center and radius found in the previous steps. The circle should pass through all three vertices of the triangle.

To prove that ⊙O and ⊙P are similar using similarity transformations, follow these steps:

Translate both circles so that their centers coincide with the origin. This will not change their relative positions.

Scale one of the circles by a factor equal to the ratio of the radii of the two circles. This will make the two circles have the same size.

Since both circles are centered at the origin and have the same size, they must be similar. This is because any two circles with the same size are either congruent or similar.

Finally, translate the circles back to their original positions. This will not change their similarity. Therefore, ⊙O and ⊙P are similar.

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In the proportion,  the cost of 0.7kg apple is Rs.62.65 .

What is proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

Here cost of 1kg apples = 89.50

Then cost of 0.7 kg apple = x.

Now using proportion,

=> 1   = 89.50

   0.7=  x

=> x = [tex]\frac{89.50\times0.7}{1}[/tex]

=> x = 62.65.

Hence the cost of 0.7kg apple is Rs.62.65 .

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The unit rate for chapters per hour is calculated as 16/21

In order to find the unit rate for the number of chapters Gregory reads in an hour, we must firstly divide the total amount of chapters read by the amount of hours devoted to the activity:

= 2/3 chapters ÷ 7/8 hours

= 2/3 chapters × 8/7 hours

= 16/21 chapters per hour

Consequently, the unit rate for chapters per hour is calculated as 16/21, which already exists in its most simplified form.

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The two terms that are commonly associated with input are input device and input data.

Input Bias are essential  factors of computer systems as they enable  druggies to interact with the machine and  give data or information that the computer processes to produce affair. There are several types of input  bias, each designed to  feed to specific  requirements and conditions. For  illustration, a keyboard is a common input device used to input  textbook and commands, while a microphone is used to input audio data.  

Input data, on the other hand, can come in  colorful forms and formats. It can be entered manually by a  stoner or automatically collected by detectors,  bias, or other systems. Input data can also be stored in  colorful  train formats,  similar as  textbook, audio,  videotape, images, or databases. It's reused by the computer system using algorithms, software programs, and  tackle  factors to  induce affair data, results, or  conduct.

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The product of the middle two sums is greater than or equal to the product of the least and the greatest of the sums.

To compare two products, we need to compare the values of the products using the comparison operators (<, >, <=, >=, or =).

We can start by finding the sums of the original numbers (0, 1, 2, 3):

Sum of the original numbers = 0 + 1 + 2 + 3 = 6

Now, we add the number k to each of the numbers:

Sum of the new numbers = (0 + k) + (1 + k) + (2 + k) + (3 + k)

= (0 + 1 + 2 + 3) + 4k

= 6 + 4k

So, the new sums range from 6 + 4k (the smallest) to 9 + 4k (the largest).

The product of the least and the greatest of the sums is:

(6 + 4k) × (9 + 4k) = 54 + 60k + 16k^2

The product of the middle two sums is:

(7 + 4k) × (8 + 4k) = 56 + 60k + 16k^2

Comparing the two products using the comparison operators:

54 + 60k + 16k^2 < 56 + 60k + 16k^2 (since 54 < 56)

or

54 + 60k + 16k^2 <= 56 + 60k + 16k^2 (since the products are equal when k=0)

In conclusion, the product of the middle two sums is greater than or equal to the product of the least and the greatest of the sums.

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A compound inequality to show the distance from the boys home to the chief's camp is 5 < d < 8

The distance from the boy's home to the school is 5km.

The distance from the boy's home to the market is 8km.

The chief's camp is closer to the boy's home than the market, but further than the school

The chief's camp is closer to the boy's home than the market, so the distance from the boy's home to the chief's camp is less than 8km.

Putting these together, we can write a compound inequality to show the possible distances d from the boy's home to the chief's camp:

distance from home to school < distance < home to maket

5 < d < 8

The inequality is 5 < d < 8.

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(a) To find the curl of the vector field F(x, y, z), we first find its component functions:

F(x, y, z) = (5ex sin(y), 9ey sin(z), 2ez sin(x))

Then, we use the formula for the curl of a vector field:

curl F = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)

Plugging in the component functions of F(x, y, z), we get:

curl F = (2ez cos(x), -5ex cos(y), 9ey cos(z))

(b) To find the divergence of the vector field F(x, y, z), we use the formula for the divergence of a vector field:

div F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

Plugging in the component functions of F(x, y, z), we get:

div F = 5e^x sin(y) + 9e^y sin(z) + 2e^z sin(x)
(a) To find the curl of the vector field F(x, y, z) = (5e^x sin(y), 9e^y sin(z), 2e^z sin(x)), we need to compute the cross product of the del operator (∇) and F:

curl F = ∇ x F

curl F = ( (∂/∂y)(2e^z sin(x)) - (∂/∂z)(9e^y sin(z)), (∂/∂z)(5e^x sin(y)) - (∂/∂x)(2e^z sin(x)), (∂/∂x)(9e^y sin(z)) - (∂/∂y)(5e^x sin(y)) )

After computing the partial derivatives, we get:

curl F = ( 0, 5e^x cos(y) - 2e^z cos(x), 9e^y cos(z) - 5e^x cos(y) )

(b) To find the divergence of the vector field F(x, y, z), we need to compute the dot product of the del operator (∇) and F:

div F = ∇ ⋅ F

div F = (∂/∂x)(5e^x sin(y)) + (∂/∂y)(9e^y sin(z)) + (∂/∂z)(2e^z sin(x))

After computing the partial derivatives, we get:

div F = 5e^x sin(y) + 9e^y sin(z) + 2e^z sin(x)

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The fastest rate of growth that the foot experienced during the year is approximately 0.554 inches/year.

We can use the given relationship between foot length L and height h to determine the rate of change of foot length with respect to time. Taking the derivative of L with respect to time t, we have dL/dt = (3/4) * 0.5 * h^(-0.5) * dh/dt. We can then substitute the given values of L and h at the beginning and end of the growth spurt to find dh/dt.

At the start, h = 64 inches and L = (3/4) * 64^0.5 = 9 inches. At the end, h = 69 inches and L = (3/4) * 69^0.5 = 9.89 inches.

Solving for dh/dt, we have dh/dt = 2.4 inches/year. Substituting this value into the expression for dL/dt, we get dL/dt = (3/4) * 0.5 * 69^(-0.5) * 2.4 = 0.554 inches/year (rounded to three decimal places). Therefore, the fastest rate of growth that the foot experienced during the year is approximately 0.554 inches/year.

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Answer:

D. 53

Step-by-step explanation:

To calculate total length, just add all those lengths:

5.5 + 6 + (6.5 x 3) + (7 x 2) + 8

5.5 + 6 + 19.5 + 14 + 8

11.5 + 19.5 + 14 + 8

31 + 14 + 8

45 + 8

53

Answer:

Step-by-step explanation:

Step-by-step explanation:

let's assumed that

x = 1h of horseback

y = 1h of parasailing

3h of horseback = 3x

2h of parasailing = 2y

and

2h of horseback = 2x

3h of parasailing = 3y

if

3x + 2y = 192

2x + 3y = 213

to find y we have to remove the x

(3x + 2y = 192) × 2

(2x + 3y = 213) × 3

6x + 4y = 384

6x + 9y = 639

___________ -

-5y = -255

y = 51

substitute y to any equation to find x

3x + 2y = 192

3x + 2(51) = 192

3x + 102 = 192

3x = 192 - 102

3x = 90

x = 30

so the answers are 1h of horseback = $30 and 1h of parasailing = $51