Suppose that the functions and are defined as follows.

When a cylinder is cut parallel to its base, the plane section that results is a circle. This circle will have the same radius as the cylinder's base. The center of the circle will be located at the center of the cylinder's base. This type of cut will create a circular cross-section that is parallel to the base of the cylinder.

Answer:

B

Step-by-step explanation:

the answer is B because I know it

Answer:

78/97

Step-by-step explanation:

First, add up all the balls to find the total amount of balls in the bag (19+28+21+29). Then determine how many balls are not blue (you could either take the total and subtract 19 or add up all the colors that are not blue). There are 97 balls total and 78 of them are not blue which is shown as 78/97. 78/97 cannot simplify further.

Carson can line up his textbooks on his bookshelf in 24 different ways

What is Permutation?

Permutations are a way to count the number of ways that a set of objects can be arranged in a particular order. A permutation is an ordered arrangement of objects.

What is Combination?

The combination is a way to count the number of ways that a set of objects can be selected without regard to order. A combination is an unordered selection of objects.

According to the given information:

Carson has four textbooks that he wants to line up on his bookshelf. The number of different ways that he can do this is given by the permutation formula:

n! / (n - r)!

where n is the total number of objects (in this case, 4 textbooks), and r is the number of objects that he wants to arrange in a particular order (in this case, all 4 textbooks).

On substituting the values in the formula,

4! / (4 - 4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24

Therefore, Carson can line up his textbooks on his bookshelf in 24 different ways.

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Answer:

The answer for <M is 28°

Step-by-step Explanation:

<P=180-48

<P=132°

base angles in an isosceles are equal

<M+<N+<P=180

3y+1+2y+2+132=180

3y+2y+3+132=180

5y+135=180

5y=180-135

5y=45

divide both sides by 5

5y/5=45/5

y=9

<M=3(9)+1=27+1=28°

Answer:

Step-by-step explanation:To solve this problem, we need to work backwards from the final price that Gina paid and determine the discounted price before tax was added.

Let x be the original price of the laptop. After a 25% discount, the discounted price is:

Discounted price = x - 0.25x = 0.75x

Next, we add 7% tax to the discounted price:

Final price = (0.75x) + 0.07(0.75x) = 0.8025x

We know that the final price that Gina paid was $963, so we can set up an equation:

0.8025x = 963

Solving for x, we get:

x = 1200

Therefore, the original price of the laptop was $1200, and the discounted price before tax was:

Discounted price = 0.75x = 0.75(1200) = $900

To check, we can add the 7% tax to the discounted price:

Final price = $900 + 0.07($900) = $963

This matches the price that Gina paid, so we can be confident in our answer.

The area of the circle is 81π. Option A.

The area of a given circle is the amount of space that the circle will cover when considered in a 2 dimensional plane. It can be determined by;

area of a circle = πr^2

where r is the radius.

The circumference of a circle is the curved boundary of a circle. It can be determined by;

circumference of a circle = 2πr

where r is its radius.

From the given information in the question, we have a circle's circumference to the circle's area;

circumference/ area = 2/ 9

But,

circumference/ area = 2πr/ πr^2

                                  = 2/ r

Then;

2/ r = 2/ 9

2r = 2*9

   = 19

r = 18/ 2

r = 9

Thus,

area of the circle = πr^2

                             = π(9)^2

                             = 81π

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Answer:

The anser is letter C)

Step-by-step explanation:

because it multiplies x3

0,5×3=1,5

1,5×10=15

10×3=30

Answer:

1cm=30m

Answer: b is correct

Step-by-step explanation:

Answer:

It's not clear what figure is being referred to. The provided numbers could be dimensions of a shape, but without additional information or context, it's impossible to determine the area of the figure. Can you please provide more details or a diagram?

Step-by-step explanation:

The matrix row operation on the matrix A gives us: 0x + 10y - 25z = 4

There are 3 primary basic operations that are utilized on the rows of a matrix when we utilize the matrix to solve a particular system of linear equations . The aim is usually to get the left region of the matrix to resemble the identity matrix .

The three primary operations are:

Switching Rows

Multiplying a Row by a Number

Adding Rows

Now, from the given matrix, the equations are:

x - y + 5z = -1

x - y - 4z = 5

5x + y + 0z = -1

We are told to add -5 times row 1 to row 3 and this gives:

-5x + 5x + 5y + 5y - 25z + 0z = 5 - 1

0x + 10y - 25z = 4

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Using trigonometric identities when  cosθ = √2/2 and 3π/2 < θ < 2π

Trigonometric identities are mathematical equations that contain tigonometric ratios

Since cosθ = √2/2 and 3π/2 < θ < 2π, we desire to find sinθ and tanθ. We proceed as follows

a. To find sinθ, using the trigonometric identity

sin²θ = 1 - cos²θ

⇒ sinθ = ±√(1 - cos²θ)

So, substituting the value of cosθ into the equation, we have that

sinθ = ±√(1 - cos²θ)

sinθ = ±√(1 - (√2/2)²)

= ±√(1 - 2/4)

= ±√[(4 - 2)/4]

= ±√[2/4]

= ±√2/2

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, sinθ = -√2/2

b. To find tannθ, using the trigonometric identity

tan²θ = sec²θ - 1

⇒ tanθ = ±√(sec²θ - 1)

= ±√(1/cos²θ - 1)

So, substituting the value of cosθ into the equation, we have that

tanθ = ±√(1/cos²θ - 1)

tannθ = ±√(1/(√2/2)² - 1)

= ±√(1/2/4 - 1)

= ±√(4/2 - 1)

= ±√[2 - 1]

= ±√1

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, tanθ = -1

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We can start by finding the rate at which the printer is printing photos. Since it takes 3 minutes to print 6 photos, we can calculate the rate as 6 photos / 3 minutes = 2 photos/minute. This means that for every minute that passes, the printer prints 2 photos.

Now that we know the rate, we can use it to find out how long it will take to print 16 photos. Since the rate is 2 photos/minute, we can set up an equation to solve for y (time) when x (photos) is 16: 2 = 16/y. Solving for y, we get y = 16/2 = 8.

Therefore, when x (photos) is 16, y (time) is 8 minutes. This means that it will take the printer 8 minutes to print 16 photos.

If y (time) is 5 minutes, we can use the rate we calculated earlier to find out how many photos the printer will print in that time. Since the rate is 2 photos/minute, we can multiply it by the time to find out how many photos will be printed: 2 photos/minute * 5 minutes = 10 photos.

Therefore, if y (time) is 5 minutes, the printer will print 10 photos.

If y (time) is 7 minutes, we can use the rate we calculated earlier to find out how many photos the printer will print in that time. Since the rate is 2 photos/minute, we can multiply it by the time to find out how many photos will be printed: 2 photos/minute * 7 minutes = 14 photos.

Therefore, if y (time) is 7 minutes, the printer will print 14 photos.

The translation of ABC by (Rx + Ry) is UVW and the rigid composition of XYZ to X'Y'Z' cannot be determined

The rule (Rx + Ry) represents a translation image of a shape, where R is a vector representing the direction and distance of the translation, and (x, y) are the coordinates of the original shape.

To apply this rule to a shape, we simply add the vector R to each point of the shape, which moves the shape in the direction and distance specified by R.

Using the above as a guide, we have the following the translation of ABC by (Rx + Ry) to be UVW

The triangle X'Y'Z' is not given in the figure

So, the rigid composition of XYZ to X'Y'Z' cannot be determined

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Answer:

Step-by-step explanation:

To predict the number of bacteria after 10 hours using the formula P = Aekt, where P is the final population, A is the initial population, k is the growth rate, and t is the time elapsed, we need to first find the value of k.

dw

We know that after 4 hours, the population grew from 3,000 bacteria to 3,600 bacteria. So we can set up an equation:

3,600 = 3,000e^(4k)

Dividing both sides by 3,000 gives:

1.2 = e^(4k)

Taking the natural logarithm of both sides gives:

ln(1.2) = 4k

Solving for k, we get:

k = ln(1.2)/4

k ≈ 0.051

Now that we have the value of k, we can use the formula to predict the number of bacteria after 10 hours:

P = 3,000e^(0.051*10)

P ≈ 5,426

Therefore, we predict that after 10 hours, there will be approximately 5,426 bacteria present in the culture.

Step-by-step explanation:

we just need to find out how many percentage of the daily goal each day, so let's assume that $50 is 100% of the daily goal.

By making the financially irresponsible decision of maxing out your credit card limit, you might not have money for an emergency situation.

As, There is no foolproof technique to determine how much you can spend in excess of your credit limit, but you can go over it.

When determining the risk of accepting an over-the-limit transaction, card issuers may take into account a number of criteria, including your prior payment history.

Now, maxing out credit card leads to negative results.

So, either not have money for an emergency situation or not be able to buy the things you need.

But we can still spend after maxing out the limit.

Thus, not have money for an emergency situation is correct option.

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Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

Here, we have,

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;

Mark the points A and B;

Draw an arc using the point (A) as the center;

Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step.

Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

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Answer: X = 25

Step-by-step explanation: Since 36 divided by 2 equals 18, which would cancel out the two on the left side leaving us with. (x - 7) = 18 we can add 7 to both sides to get. X = 25

Edit: To whoever said my math is incorrect is wrong, I even double checked with multiple sources and people. It must’ve been a different equation or number. Sorry for not being able to help, however the math was correct.

The True statements about the correlation are: (1), (2), (3), (5), (6) and (7)

1) We know that the adding, subtracting, multiplying or dividing a constant to all of the data points in one or both variables does not change the correlation coefficient.

So, the first statement is True.

2) We know that the correlation measures the strength of the pattern around a line of regression as well as the direction of the line. So, interchanging the variables would not change the correlation. The correlation between x and y is the same as the correlation between y and x.

Thus the second statement is True.

3) We know that the correlation coefficient does not have any units.

It is just a number between -1 to +1.

Thus the third statement is True.

4) We know that the outlier may weaken the correlation. It makes the data more scattered. So the correlation coefficient r gets closer to 0.

Thus the fourth statement is False.

5) We know that if the correlation coefficient r is close to 1 then it is a strong positive correlation and if r is close to -1 then it is a strong negative correlation.

Thus the fifth statement is True.

6) We know that the corrletaion coefficient values can range from -1 to 1.

Thus the sixth statement is True.

7) We know that the y-intercept is nothing but the point at which the regression line intercepts the y-axis. The y-intercept of the regression line and the correlation coefficient have the same sign.

Thus the seventh statement is True.

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Answer:

The answer is (3) 0.015.

Step-by-step explanation:

This is because to find the probability of finding both independent events happening at the same time, we must multiply them.

The independent events are:

- Randomly selecting a defective battery: 0.02

- Raining tomorrow: 0.75

0.02 x 0.75 = 0.015

Therefore, the answer is (3) 0.015.

Step-by-step explanation:

How do you have two equal to signs omg?

Anyway,

x+6+2x=2x+6+4x+6+2x=2x+6+4

3x+6=8x+12=2x+10

0=5x+6=2x+10

0=3x-4=0

3x-4=0

3x=4

x = 4/3 = 1 ⅓

The incorrect statement is b. When an aeroplane takes off, the work done by its weight is negative.

The inaccurate assertion is:

b) When a plane removes, the work done by its weight is positive.

The right assertion is:

b) When a plane removes, the work done by its weight is negative.

Clarification:

At the point when a plane removes, the work done by the heaviness of the plane is negative in light of the fact that the weight acts the other way to the dislodging of the plane. As indicated by the work-energy hypothesis, work done by the heaviness of the plane will diminish its motor energy, and that implies that the work done is negative. Hence, articulation (b) is inaccurate.

a) Work and energy have various units.

This assertion is right. Work has units of Joules (J) and energy additionally has units of Joules (J), however they are not exactly the same thing.

c) The possible energy of spring increments when it is broadened and diminishes when it is packed.

This assertion is right. The potential energy put away in a spring is straightforwardly corresponding to its expansion or pressure. While a spring is broadened, its potential energy increments, and when it is packed, its potential energy diminishes.

d) On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

This assertion is right. On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

The work-energy hypothesis expresses that the net work done on a framework is equivalent to the adjustment of its motor energy, and in the event that the net work is negative, the dynamic energy diminishes, and that implies that the energy of the framework diminishes.

e) When a body is falling unreservedly from a level, its dynamic energy stays consistent.

This assertion is erroneous. At the point when a body is falling unreservedly from a level, its potential energy is changed over into dynamic energy as it falls. Hence, its motor energy increments as it falls, and its potential energy diminishes.

f) The unit of force is watt.

This assertion is right. The unit of force is watt (W), which is characterized as the pace of taking care of business or the pace of move of energy.

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The complete question is:

Identify the wrong statement among the following. Rewrite them by making necessary corrections.

a) Work and energy have different units.

b) When an aeroplane takes off, the work done by its weight is positive.

c) The potential energy of spring increases when it is extended and decreases when it is compressed.

d) If the work done by external forces on a system is negative then the energy of the system decreases.

e) When a body is falling freely from a height, its kinetic energy remains constant.

f) The unit of power is watt.

Answer:

The Babylonian numeral <|| <<|||| represents the number 51 in the Babylonian numeral system.

To convert it to the Hindu-Arabic numeral system, we first need to determine the place values of the symbols. The symbol <|| represents 50 and <<|||| represents 1.

So, we can write the number as:

50 + 1 = 51

Therefore, the Hindu-Arabic numeral equivalent of the Babylonian numeral <|| <<|||| is 51.

The volume of the triangular prism is 36 in³.

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

To calculate the volume of the triangular prism, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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