Identify which magnets are stronger and which magnets are weaker. Be sure to justify your answer.

Answer:

To get the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.

Step-by-step explanation: From the given figure, we can say that the area of the shaded region is equal to the area obtained by subtracting the area of the circle with C as center and the two semi-circles with AM and MB as diameter from the bigger semi-circle having AB as diameter.

GIMME MY BRANLIEST

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

A) 0.36 with a line over both 36 means as a decimal the 36 repeats, so it would look like 0.363636

as a fraction it would be 36/99, divide both numbers by 9 to get 4/11

B) 0.36 with the line over the 6 means just the 6 repeats so it would look like 0.3666

as a fraction that would be 33/90 , divide both by 3 to get 11/30

C) 0.36 would be 36/100, divide both numbers by 4 to get 9/25

Stainep-by-step explain

Step-by-step explanation:

let's call that unknown number x.

2x/3 + 3 = 31

and that means

2x/3 = 28

2x = 84

x = 42

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer: 58

Step-by-step explanation:

To find the measure of angle BDC, we can use the fact that the sum of the angles in a triangle is 180°

We can start by finding the measure of angle ABD, which is complementary to angle DAB, using the fact that the sum of complementary angles is 90°.

m/DAB = 32°, so m/ABD = 90° - 32° = 58°.

Since angles ABD and BDC are opposite angles formed by intersecting lines, they are congruent.

Therefore, the measure of angle BDC is 58°.

Answer: m/BDC = 58°.

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

Answer:

xx=5 and yy=6

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

\(\tt -7c+9-8c+1\)

Combine like terms:-

Simplify:-

___________________

Hope this helps!

Answer:

75 : 225

Step-by-step explanation:

\(\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}\)

0.25 × y = 0.75 × 75

0.25y = 56.25

0.25y ÷ 0.25 = 56.25 ÷ 0.25

y = 225

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: $90.77

Step-by-step explanation:

Just did the test

The desk cost $90.76 after Depreciation rate.

The depreciation rate is the proportion at which an asset depreciates during its anticipated useful life. It may also be described as the portion of an organization's long-term investment in an asset that the organisation claims as a tax-deductible expense over the course of the asset's useful life.

Given:

A desk is purchased for $277.

In one year the  depreciation rate is 20% per year.

So, In one year depreciation amount

= 20% of 277

= $55.4

After 2nd year

= 221.6 - 20% of 221.6

= $177.28

After 3rd year

= 177.28- 20% of 117.28

= $141.824

After 4th year

= $113.4592

After 5th year

= 113.4592 - 20% of 113.4592

= $90.76

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Answer:

im not sure of the answer but hopefully this will help

Step-by-step explanation:

basically the intervals in which its increasing and decreasing depend on the leading coefficient and the vertex

since this is opening up, the intervals will be

the function is increasing (x coord of vertex, infinity)

the function is decreasing (-infinity, x-coord of vertex)

The domain of the composite functions f(g(7)), g(f(4)), f(g(8)), and f(f(2)) are 814, 151, 042, and -4 respectively.

A function is composite when the co- domain of the first mapping is the domain of the second mapping

For f(x) = 2x - 4 and g(x) = 7x² + 9x + 3 , we shall evaluate the domain of the functions f(g(7)), g(f(4)), f(g(8)), and f(f(2)) as follows:

g(7) = 7(7)² + 9(7) + 3 = 409

f(g(7)) = 2(409) - 4 = 814

f(4) = 2(4) - 4 = 4

g(f(4)) = 7(4)² + 9(4) + 3 = 151

g(8) = 7(8)² + 9(8) + 3 = 523

f(g(8)) = 2(523) - 4 = 1042

f(2) = 2(2) - 4 = 0

f(f(2)) = 2(0) - 4 = -4

Therefore, the domain of the composite functions f(g(7)), g(f(4)), f(g(8)), and f(f(2)) are 814, 151, 042, and -4 respectively.

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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The expression (g+f)(x) is equal to g(x)+ f(x), (g-f)(x) is equal to g(x) f(x) and the expression (g*f)(-3) is equal to g(-3)*f(-3).

Then, we have

Similarly,

And finally,

In summary, the answers are:

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!

The area of a sector of a circle is equal to the central angle in radians multiplied by the square of the radius.

Therefore, we can use this formula to solve for the radius:

Area = (Central Angle) × (Radius)²

Therefore, we can rearrange this formula to solve for the radius:

Radius = √(Area / Central Angle)

Plugging in the values given, we get:

Radius = √(15 cm² / 5 rad)

Simplifying, we get:

Radius = 3 cm

Therefore, the radius of the circle is 3 cm, rounded to the nearest tenth.

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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The base of the prism in this problem is given as follows:

A) 15 m.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions in the context of this problem are given as follows:

25 m, 20 m and x.

The volume is given as follows:

7500 m³.

Applying the equation for the volume, the value of x is given as follows:

25 x 20x = 7500

500x = 7500

x = 7500/500

x = 15 m.

The problem is given by the image presented at the end of the answer.

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Answer:

x=10

Step-by-step explanation:

First, solve for the ratio of the two triangles:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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Answer:

\(x1=\sqrt{216} \ and \ y1=\ \sqrt{216}\)

Step-by-step explanation:

Let the first number is x1 and other number is y1 then

\(x1 * y1 =216\)

Therefore

\(y1=\)\(\frac{216}{x1}\)

also there sum is

\(s1 =x1+y1\)....Eq(1)

Putting the value of y1  in the previous equation

\(s1\ =x1 + \frac{216}{x1}\)........Eq(2)

Differentiate the the Eq(2) with respect to x1 we get

\(\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }\)

\(\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0\)

\({x1^{2} }\ =\ 216\\ x1=\sqrt{216}\)

Putting the value of X1 in Eq(1) we get

\(y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}\)

So \(x1=\sqrt{216} \ and \ y1=\ \sqrt{216}\)

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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