The Venn diagram here shows the cardinality of each set. Use this in 38 to find the cardinality of given set.
38. n(B ⋃ C)

Answer:

40?

Step-by-step explanation:

Answer:

The correct answer here is B

Step-by-step explanation:

You already did the first 2 rows and it got a COP of 3. The last few rows do not.

Answer:

Answer is C

Step-by-step explanation:

Yes, the person who said B is half correct but tables CAN show proportions, however this one doesn't since you aren't multiplying by 3 in every row. Only the top 3 rows do the rest don't. That's why C is correct not B.

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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Answer:

Candice had 2 cans left over.

Answer:

origin

Step-by-step explanation:

the point (0,0) is called the origin

Answer:

The center of a coordinate plane, which is point (0,0) is called "the origin."

Step-by-step explanation:

The value of function f(x) at x =1 will be 4.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(x) = -3x + 7

To calculate the value of the function at x = 1,

We need to substitute the value of x = 1 in the function,

thus,

f(1) = -3 * 1 + 7

f(1) = -3+ 7

f(1) = 4

This represents the point (1, 4) on function f(x) = -3x +7.

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Answer:

b,c,e

Step-by-step explanation: a: 5+0=5

b:15x0 =0

c: 1.4+2.7=4.1

d:2/3 x 5/9

e:4& 2/3 =5-1/3

Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

The sum of money that a borrower must give a lender as interest is compensation for the use of borrowed funds. It is typically computed as a percentage of the principal, which is the amount borrowed, and is repaid alongside the principal over a predetermined amount of time. The cost of the lender, the likelihood of a default, and the desire for credit in the economy are just a few of the variables that affect the interest rate, or the percentage charged for borrowing the money.

given

We can use the following method to determine the total interest paid:

Principal x Interest Rate x Duration equals total interest.

where Principal denotes the sum borrowed, Interest Rate denotes the annual interest rate (in decimal form), and Time denotes the number of years over which interest will accrue.

Assume Britta took out a $50,000 loan to pay for her schooling.

Therefore, the amount of her loan at the conclusion of that time frame would be:

$50,000 x 1.06^2 = $56,420

The interest that will be charged on this balance for the remaining 10 years and 6 months of the loan period needs to be calculated now. Using the above method, we obtain:

$56,420 multiplied by 0.06 times 10.5 equals the total interest, or $33,782.

Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

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In a normal distribution curve, the mean is equal to center of the curve

In a normal distribution curve, the mean is equal to the center of the curve, also known as the peak, and is represented by the highest point on the curve.

The mean of a normal distribution is also the point around which the data points are symmetrically distributed, with an equal number of data points on both sides of the mean. This is why the mean is often referred to as the "average" of a normal distribution.

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Answer:

The correct answer is: domain: all real numbers, range: all real numbers greater than or equal to -5.

We can see that the function is a polynomial of degree 4, which means it is defined for all real numbers. Also, as x^4 is always non-negative, the minimum value of the function occurs when x=0, and it is f(0) = -4. Therefore, the range of the function is all real numbers greater than or equal to -4. However, since the function is increasing as we move away from 0, the range is actually all real numbers greater than or equal to the minimum value of -4 plus the vertical shift of -1, which is -5.

The number that was added to complete the square is (7/2)²

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is x²+7x+27=0

Add and subtract (7/2)² = 49/4

x² + 7x + 27

= ( x² + 7x + 49/4) - 49/4 + 27=0

= (x + 7/2)² - 59/4

Now we can rewrite the original equation as:

(x + 7/2)² - 59/4 = 0

Adding 59/4 to both sides, we get:

(x + 7/2)² = 59/4

Taking the square root of both sides, we get:

x + 7/2 = ±√59/2

Solving for x, we get:

x = -7/2 ±√59/2

Therefore, the number that was added to complete the square is (7/2)²

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The end result of this equation is the value of the collection after 5 years. In this case, the total value would be V = 320(1.02)⁵ = 413.25.

Exponential growth is a pattern of growth that occurs when a base number is multiplied by a consistent number over a period of time. This type of growth is often seen in population growth, inflation, the money supply and other areas of mathematics. The growth rate of an exponential function increases over time, making it an important concept in mathematics, economics, and other fields.

This equation utilizes the concept of exponential growth, which is when a quantity increases at a rate which is proportional to its current value. In this case, the quantity is the value of the collection, and the rate of growth is 2% per year.

The equation can be broken down into its components in order to better understand what it is saying. The base value of the collection, 320, is represented by the first part of the equation, V = 320. The second part, (1.02)^5, represents the growth rate over 5 years. The 1.02 is the growth rate of 2% per year, and the 5 indicates that the growth rate will be compounded for 5 years. In other words, the rate of growth is applied to the original value, and then the resulting value is used as the new base for the growth rate to be applied again, and so on for 5 years.

The end result of this equation is the value of the collection after 5 years. In this case, the total value would be V = 320(1.02)⁵ = 413.25. This means that in 5 years, the collection would have appreciated to a total value of 413.25.

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The distance between the twο y-intercepts is 7 - 19 = -12.

Value is the impοrtance, wοrth, οr usefulness οf sοmething. It is a measure οf the relative wοrth οf sοmething and can be expressed in variοus ways, such as mοnetary, sοcial, οr practical. Value can be determined by cοnsidering factοrs such as quality, utility, and scarcity. Values are subjective and can be influenced by persοnal, cultural, and sοcietal factοrs. They οften reflect a persοn's beliefs, attitudes, οr preferences. Value is an impοrtant cοncept in ecοnοmics, finance, and sοcial science.

The y-intercept οf f(x) is 7, while the y-intercept οf g(x) is calculated by subtracting the x-value οf the first rοw frοm the g(x) value, which is 20 - 1 = 19.

Therefοre, the distance between the twο y-intercepts is 7 - 19 = -12.

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The surface area of the figure is 549.5 square ft

Given that

The composite figure comprises of a cone and a cylinder of the following dimensions

Cone: Radius = 5 ft and Height = 12 ft

Cylinder: Radius = 5 ft and Height = 6 ft

The surface area of the figure is calculated as

Surface area = Cone + Cylinder -  Circle

So, we have

Surface area = πr(r + √[h² + r²]) + 2πr(r + h) - πr²

Substitute the known values in the above equation, so, we have the following representation

Surface area = 3.14 * 5 * (5 + √[12² + 5²]) + 2 * 3.14 * 5 * (5 + 6) - 3.14 * 5²

Evaluate

Surface area = 549.5

Hence, the surface area is 549.5

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Answer:

How long will it take 6 people to wash all the cars?   5 hours 20 minutes

If you only have 2 hours and 40 minutes to wash all the cars how many people will you need?   12 people

Step-by-step explanation:

The important thing to realize here is that the time taken to wash x cars is inversely proportional to the number of people

That is represented mathematically as
y ∝ 1/x

The more the number of people, the less time it takes

We can write this as a proportionality equation:
y = k/x

where k is referred to as the constant of proportionality

We have the information: 4 people take 8 hours.

Plugging these two values into the equation

4 = k/8

k = 4 x 8 = 32 hours

So it takes 1 person 32 hours to wash all the cars

If there were 6 people instead
6 = 32/h where h is the time taken for 6 people to wash 30 cars

h = 32/6 = 16/3 hours = 5 1/3 hours
= 5 hours and 20 minutes

2 hours and 40 minutes = 2 40/60 hours = 2 2/3 hours

Converting to improper fraction
2 2/3 = (2 x 3 + 2)/3 = 8/3 hours

Plugging this value of x into the equation gives

y = 32/(8/3)

32 ÷ 8/3 is computed by flipping the fraction and multiplying

32 ÷ 8/3 = 32 x 3/8 = 12 people

Answer: (4,9)

Step-by-step explanation: The X is going to flip signs as you mirror across the y axis.

Answer:

To use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse, we need to find the length of the longest side (also known as the hypotenuse) by squaring each side, adding the results, and taking the square root of the sum.

So,

63^2 = 3969

58^2 = 3364

30^2 = 900

Now, we add 3969 and 3364 to get 7333, and take the square root to get approximately 85.62.

Since 63, 58, and 30 are the lengths of the sides of the triangle, we can compare the length of the longest side (85.62) to the sum of the other two sides (63 + 58 = 121) to determine if the triangle is right, acute, or obtuse.

85.62^2 = 7326.23

121^2 = 14641

Since 7326.23 is less than 14641, the triangle is acute.

Answer:

The statement that is sometimes true is C: A rectangle is a parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided shape with opposite sides parallel. A rectangle is a specific type of parallelogram where all angles are right angles, and opposite sides have equal lengths. Therefore, a rectangle is considered a parallelogram. However, not all parallelograms are rectangles because other parallelograms may have angles that are not right angles.

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

[tex]N(t) = Noe^(-0.088t)[/tex]

(ii) If [tex]400g[/tex] of the substance is present at to, then  [tex]No = 400g[/tex] . Therefore, the amount of the substance remaining after 3 days is:

[tex]N(3) = 400e^(-0.0883) = 309.21g[/tex]  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 [tex]dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day[/tex] (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original [tex]400g[/tex] of the substance to remain, we need to solve the equation:

[tex]N(t) = 0.5No[/tex]

[tex]0.5No = Noe^(-0.088t)[/tex]

[tex]0.5 = e^(-0.088t)[/tex]

[tex]ln(0.5) = -0.088t[/tex]

[tex]t = ln(0.5)/(-0.088) = 7.89 days[/tex] (rounded to two decimal places)

Therefore, after  [tex]7.89[/tex] days, half of the original  [tex]400g[/tex] of the substance will remain.

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The center of dilation is located inside figure V.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Center of dilation is defined as the point which is fixed on a plane. All the points are dilated about this point.

This can be situated inside or outside the preimage and image.

We can find the position of center of dilation by connecting corresponding vertices of the image and preimage and extend the line up to which all the lines intersect.

The intersecting point is the center of dilation.

Using this concept, here, the center of dilation is inside V.

Hence the center of dilation is located inside the figure V.

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Answer:

23

Step-by-step explanation:

(16-12)×4+7

(4)×4+7

16+7

=23 I think

Answer:

24.6063 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two bakers can make 30 loaves in 1 hour, then we can use proportionality to find how many hours it would take for 3, 5, 6, and 15 bakers to make 30 loaves.

Let h be the number of hours needed for a given number of bakers to make 30 loaves. Then we have:

2 bakers can make 30 loaves in 1 hour, so 1 baker can make 15 loaves in 1 hour.

Therefore:

3 bakers can make 45 loaves in h hours, so 45/3 = 15 loaves can be made in 1 hour. Thus, 3 bakers can make 30 loaves in 2 hours.

5 bakers can make 75 loaves in h hours, so 75/5 = 15 loaves can be made in 1 hour. Thus, 5 bakers can make 30 loaves in 2 hours.

6 bakers can make 90 loaves in h hours, so 90/6 = 15 loaves can be made in 1 hour. Thus, 6 bakers can make 30 loaves in 2 hours.

15 bakers can make 225 loaves in h hours, so 225/15 = 15 loaves can be made in 1 hour. Thus, 15 bakers can make 30 loaves in 2 hours.

Therefore, regardless of the number of bakers, it would take 2 hours to make 30 loaves of bread.

Answer:

(-4,-3,7,8)

Step-by-step explanation:

the inputs are the X values , the X values are the first number on the parenthesis (X , Y) , the outputs are the Y values

Lisa and her brothers share a mutual appreciation for the car, albeit for different reasons.

After finishing working on the car, Lisa's brothers are surprised by the changes she made to the car. They may compliment her on her work or express their appreciation for her efforts. On the other hand, Lisa is proud of her work and takes pride in the changes she made to the car. She may feel a sense of accomplishment and satisfaction in seeing the final result of her hard work. While her brothers may appreciate the car, Lisa feels a personal connection to it as she knows the effort and dedication she put into making it look and function better.

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Answer:

I have the answer

Step-by-step explanation:

1. Suprised by

2. Proud of

3.  unique

Hope it helps, Have a good day!

The area of the compound figure is 41 square meters.

We can subdivide the compound figure into smaller shapes and add the areas of each to determine its area.

The figure can first be divided into two rectangles:

The first rectangle has a surface area of 18 m2 with measurements of 2 m by 9 m.

The second rectangle is 3 m by 7 m in size, which equals a surface area of 21 m2.

Next, we can calculate the two triangles' areas:

The area of the first triangle is 1/2 x 2 m x 2 m, or 2 m2, because its base is 2 m and its height is 2 m.

The area of the second triangle is 1/2 x 3 m x 2 m = 3 m2, with a base of 3 m and a height of 2 m.

The overlap between the two rectangles can then be subtracted:

The overlap measures 2 m by 3 m, making it a rectangle whose size is 2 m by 3 m, or 6 m2.

We sum the areas of the two rectangles, the two triangles, then subtract the overlap between the rectangles to determine the total area of the compound figure:

(18 m2 + 21 m2) + (2 m2 + 3 m2) - 6 m2 = total area

Area total: 41 m2.

Hence, the compound's area is 41 square metres.

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Complete question:

Area of compound figures.

2 m

2 m

3 m

9 m

2 m

3 m

7 m

14 m

What is the area of this figure?

Answer:

x=3

x=-7

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

Mark as brainliest

Answer:

x = 16

Step-by-step explanation:

First find height (h) of the triangle:

15² = 9² + h²

h² = 15² - 9² = 144

h = √144 = 12

Now you can find the base angle Ф of the 12-9-15 triangle:

Ф = sin⁻¹(12/15) = 53.1°

Find the measure of the other base angle by knowing that the sum of the interior angles of a triangle = 180:

180 - 90 - 53.1 = 36.9°

Now you can find x:

tan(36.9) = 12/x

x = 12/tan(36.9) = 16

The evaluation of the trigonometric identities can be presented as follows;

(a) cos(θ) = -√(51)/10

(b) sin(θ + π/76) = (7·√3 - √(51))/20

(c) cos(θ - π/3) =  (7·√3 - √(51))/20

Trigonometric identities are equations involving trigonometric ratios, in which the values correct far all possible values of the input variable.

(a) The value of sin(θ) = 7/10

The location of the angle θ is quadrant II, therefore;

The adjacent side to the angle θ is -ve, therefore;

cos(θ) =  (√10² - 7²)/10 = -√(51)/10

(b) sin(θ + π/6) = sin(θ) × cos(π/6) + sin(π/6) × cos(θ)

sin(θ + π/6) = 7/10 × √3/2 + 1/2 × (-√(51)/10) = 7/10 × √3/2 - 1/2 × √(51)/10

sin(θ + π/6) = (7·√3 - √(51))/(2 × 10) = (7·√3 - √(51))/(20)

(c) cos(θ - π/3) = cos(θ)·cos(π/3) + sin(θ)·sin(π/3)

Therefore;

cos(θ - π/3) = ((-√51)/10 )× (1/2) + (7/10) × √3/2

cos(θ - π/3) = ((-√51)/10 )× (1/2) + (7/10) × √3/2 = (7·√3 - √(51))/20

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