find the volume of the solid obtained by rotating the region in the first quadrant bounded by , , and the -axis around the -axis.

Factorize the sum of cubes:

\(x^3 + y^3 = (x+y) (x^2 - xy + y^2)\)

so \(x^2-xy+y^2\) is a factor of \(x^3+y^3\). Then the HCF is \(\boxed{x^2 - xy + y^2}\).

Answer:

p = 36cm

Step-by-step explanation:

p = 4a

4 × 9 = 36

good luck, i hope this helps :)

Answer is 28

Hope This helps

The probability that a randomly chosen student is 16 years old is 0.28.

The correct option is D.

Total Students = 1500

Number of student who are 14 years old = 420

So, the probability that a randomly chosen student is 16 years old

= 420 / 1500

= 42 / 150

= 14 / 50.

= 0.28

Thus, the ideal solution is 0.28.

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The new image would be smaller in sample size than the original image.

For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be

(200 x 0.5) = 100 x (100 x 0.5)

= 50 pixels.

The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be

(200 x 0.75) = 150 x (100 x 0.75)

= 75 pixels.

In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.

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About 195 students at Nikhil's middle school would have atleast one sibling.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

We can use proportion to estimate the number of students at Nikhil's middle school who have at least one sibling.

If 13 out of 20 students surveyed have at least one sibling, we can assume that the same proportion applies to the entire school.

So, we can set up a proportion as follows:

13/20 = x/300

where x is the number of students in the entire school who have at least one sibling.

Solving for x, we can cross-multiply and get:

13 * 300 = 20 * x

x = (13 * 300)/20

x = 195

Therefore, about 195 students at Nikhil's middle school would have at least one sibling.

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Answer:

J'  (-7, -2)

K' (-5, -6)

L' (-3, -6)

(Note: read the instructions, as I did a mistake of drawing the translation to the right instead.)

Answer:

4.63

Step-by-step explanation:

Answer:

The correct answer is 4.63

Step-by-step explanation:

Have a good day!

The  subset of the real number system that the number 1.5¯(repeating decimal)  belong to is rational numbers.

A rational number  serves as a  number that is expressed as the ratio of two integers, and the denominator  of it will not be equal to zero.

Therefore, from 1.5¯ = 1.555555555  The  subset of the real number system that the number 1.5¯(repeating decimal)  belong to is rational numbers.

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Step-by-step explanation:

surface area of cylinder is

2×pi×r (h+r)

2×22/7×2 (4+2)

88/7 (4+2)

75.4 cm square

since this inequality only includes integer values, we can write the final solution set as: x = -1, 0, 1, 2, 3, 4.

In mathematics, a coordinate is a set of numbers or values that specify the position of a point or an object in a space. The most common type of coordinate system is the Cartesian coordinate system, which uses two or more axes to specify the position of a point in a plane or space. In a two-dimensional Cartesian coordinate system, each point is represented by a pair of numbers, usually denoted (x,y), where x is the horizontal coordinate and y is the vertical coordinate. In a three-dimensional Cartesian coordinate system, each point is represented by a triple of numbers, usually denoted (x,y,z), where x, y, and z are the coordinates along the x, y, and z axes, respectively. Coordinates are used extensively in mathematics, physics, engineering, and many other fields to describe the position of objects and to solve problems involving geometry and spatial relationships.

by the question.

To find the integer values that satisfy \(x²-3x -10 < 0\), we need to find the intervals on the x-axis where the graph is below the x-axis (i.e., where y < 0). We can see from the graph that this happens between the x-intercepts, x = -2 and x = 5. So, the solution set is:

-2 < x < 5

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Answer:

q + q + 4

Step-by-step explanation:

q + q +4

The complete sentence is,

Once you solve for ONE of the variables in a system, then you must substitute the value of that variable in an equation to solve for the remaining variable.

We have to given that;

To find the method after, Once you solve for ONE of the variables in a system,

Hence, We get;

The correct method is,

Once you solve for ONE of the variables in a system, then you must substitute the value of that variable in an equation to solve for the remaining variable.

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Answer:

Because 3(5x) is the same as 3 *5 * x

Step-by-step explanation:

When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key

Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.

So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).

Hopefully that makes sense!

Answer:

a=3 b=6

Step-by-step explanation:

I just answered that question correctly on Edgeunity.

Answer:

3, 6. just answered it and got it right.

Step-by-step explanation:

The coordinates of the point (x,y,z) on the plane z=4x+y+2 which is closest to the origin are X = 0, Y = 0, Z = 2.

To find the point on the plane which is closest to the origin, we need to find the perpendicular distance from the origin to the plane. Let (x,y,z) be any point on the plane.

Then the distance between the origin and the point (x,y,z) is given by the formula:

d = \(\sqrt{(x^2 + y^2 + z^2)\)

We need to minimize this distance. The plane z=4x+y+2 can be rewritten as 4x+y-z+2=0. So, the normal vector to the plane is (4,1,-1). The distance between the origin and the plane is the projection of the vector joining the origin to any point on the plane onto the normal vector to the plane.

Let's take the point (x,y,z) = (0,0,0) on the plane. The vector joining this point to any point on the plane is (x,y,z) = (x,y,4x+y+2). The projection of this vector onto the normal vector (4,1,-1) is:

proj = [(0,0,2) . (4,1,-1)] / ||(4,1,-1)||² * (4,1,-1)

where . denotes the dot product and || || denotes the magnitude of the vector. Simplifying this, we get:

proj = (6/18) * (4,1,-1) = (8/3, 2/3, -2/3)

Thus, the point on the plane closest to the origin is (0,0,0) + (8/3, 2/3, -2/3) = (8/3, 2/3, -2/3). So, X = 8/3, Y = 2/3, Z = -2/3. However, since the point lies on the plane z=4x+y+2, we can find Z by substituting X and Y into the equation of the plane:

Z = 4X + Y + 2 = 4(8/3) + 2/3 + 2 = 34/3

Therefore, the coordinates of the point (x,y,z) on the plane z=4x+y+2 which is closest to the origin are X = 8/3, Y = 2/3, Z = 34/3, which can be simplified to X = 0, Y = 0, Z = 2.

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Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

For a relative frequency table by rows 4-column table with 2 rows about the breakfast choices of boys and girls. The conclusion is of table is represented by option(b).

We have provided the following information about relative frequency table by rows, tables by row, 4 columns and 2 rows.

Now, we represent the above information into tabular form,

Eat cereal do not eat cereal Total

boys 68.3% 31.7% 100%

girls 69.1% 30.9% 100%

Now, we have to draw conclusion about the relative frequency of these results. From the table, the percentage of girls and boys who eat cereal is exceed from the not. Thus, we cannot say if a person eat cereal for breakfast, then he is a boy. Similarly we cannot know about gender of a person by eats cereal. The right conclusion is that if i am a girl in this group, i am more likely to eat cereal for breakfast than not. Hence, required option is option (b).

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Complete question:

relative frequency table by rows 4-column table with 2 rows. column 1 has entries boys, girls. column 2 is labeled eat cereal with entries 68.3 percent, 69.1 percent. column 3 is labeled do not eat cereal with entries 31.7 percent, 30.9 percent. column 4 is labeled total with entries 100 percent, 100 percent. What conclusion can you draw about the relative frequency of these results?

a) If you are a boy in this group, you are more likely not to eat cereal for breakfast than to eat cereal.

b) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

c) If you eat cereal for breakfast, you are a boy.

d) Knowing if a person eats cereal will help determine gender.

Answer:

B. If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

Step-by-step explanation:

Edge 2023

First, let us calculate the forecast for week 7. The naïve method (most recent value) is used to make the forecast. The most recent value is 15, so the forecast for the next week, which is week 7, is 15.

Using the naïve method as the forecast for the next week, the following measures of forecast accuracy are calculated.The given data is as follows:

Week 1 2 3 4 5 6Value 19 13 16 10 18 15.

Now we will calculate the Mean absolute error:

Mae = (19-13)+(13-16)+(16-10)+(10-18)+(18-15) / 5=6+3+6+8+3 / 5=6.4.

Therefore, the Mean absolute error is 6.4.

Mean squared error can be calculated as follows:

Mse = [(19-13)²+(13-16)²+(16-10)²+(10-18)²+(18-15)²] / 5=196 / 5=39.2.

Therefore, the Mean squared error is 39.2.

Now let us calculate Mean absolute percentage error:

Map = [ (6/19) + (3/13) + (6/16) + (8/10) + (3/18) ] / 5= 0.962.

Therefore, the Mean absolute percentage error is 0.96.

The forecast for week 7 is 15. Mean absolute error is 6.4. Mean squared error is 39.2. Mean absolute percentage error is 0.96.

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Answer:

\( \frac{7}{24} \)

Step-by-step explanation:

\( \frac{1}{4} < x < \frac{1}{3} \)

\( \frac{3}{12} < x < \frac{4}{12} \)

Let x = 3.5/12 = 7/24.

Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

Answer:

The answer is "no".

Step-by-step explanation:

Please find the image file of the question in the attachment.

In the given question, it will take approximately 2-3 min to climb 1 step taller. It's an estimate of 7.92 hours, if you split 950 to 2, it is the period it would take you to go out in minutes when we turn 475 mins into minutes. As we see it will take them an extra 92 mins for 950 feet to ascend. They can achieve it by ascending this at an average rate of 135.7 ft/h.

Answer:

No, the amount of minutes to climb up 1 foot of the height would be around 2-3 minutes. If you divide 950 with 2, you get 475 which would estimate to 7.92 hours. So as we see they would need an extra 55.2 minutes to climb the full 950 feet.

I hope this helps y'all ;p

Answer:

2/7 + 7/14 = 11/14

Step-by-step explanation:

7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!

This means 2/7 = 4/14

4/14 + 7/14 = 11/14

Answer:

eleven fourteenths

Step-by-step explanation:

Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

(4.1) The sets in σ(X), the sigma-algebra generated by random variable X, can be determined by considering the pre-images of X. Since X can take two possible values, 1 and -1/2, the sets in σ(X) will be all possible combinations of these values. Therefore, the sets in σ(X) are:

{∅, Ω, {ω1, ω2, ω3}, {ω4, ω5, ω6}, {ω1, ω2, ω3, ω4, ω5, ω6}}.

(4.2) To determine E[Y|X] and E[Z|X], we need to find the conditional expectations of Y and Z given X for each ωi.

For Y:

E[Y|X=1] = Σ P(ωi|X=1)Y(ωi) = P(ω1|X=1)Y(ω1) + P(ω2|X=1)Y(ω2) + P(ω3|X=1)Y(ω3) + P(ω4|X=1)Y(ω4) + P(ω5|X=1)Y(ω5) + P(ω6|X=1)Y(ω6)

= 0*(-1) + 0*(-1) + 1*(-1) + 0*(-1) + 0*(-1) + 0*(-1) = -1.

E[Y|X=-1/2] = Σ P(ωi|X=-1/2)Y(ωi) = P(ω1|X=-1/2)Y(ω1) + P(ω2|X=-1/2)Y(ω2) + P(ω3|X=-1/2)Y(ω3) + P(ω4|X=-1/2)Y(ω4) + P(ω5|X=-1/2)Y(ω5) + P(ω6|X=-1/2)Y(ω6)

= 1*(-1) + 1*(-1) + 0*(-1) + 1*(-1) + 1*(-1) + 1*(-1) = -6.

For Z:

E[Z|X=1] = Σ P(ωi|X=1)Z(ωi) = P(ω1|X=1)Z(ω1) + P(ω2|X=1)Z(ω2) + P(ω3|X=1)Z(ω3) + P(ω4|X=1)Z(ω4) + P(ω5|X=1)Z(ω5) + P(ω6|X=1)Z(ω6)

= 0*(1-1) + 0*(1-1) + 1*(1-1) + 0*(1+1) + 0*(1+1) + 0*(1+1) = 0.

E[Z|X=-1/2] = Σ P(ωi|X=-1/2)Z(ωi) = P(ω1|X=-1/2)Z(ω1) + P(ω2|X=-1/2)Z(ω2) + P(ω3|X=-1/2)Z(ω3) + P(ω4|X=-1/2)Z(ω4) + P(ω5|X=-1

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Answer:

x = 7

Step-by-step explanation:

x-7 = 0

add 7 on both sides - X-7+7 = 0+7

x=7

Mark me brainliest please

The cost of one box of envelopes is $1.15 and the notebook paper is $2.45. The solution has been obtained by using simultaneous equations.

What are simultaneous equations?

A system of equations, sometimes known as an equation system, is a finite set of equations for which common solutions are sought. In mathematics, this is referred to as a set of simultaneous equations.

Let the cost of one box of envelopes be 'x' and the cost of a notebook be 'y'.

We are given that the cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25.

So, from this we get

3x + 4y = 13.25         ...(1)

Similarly, two boxes of envelopes and 6 boxes of notebook paper cost $17.

So, from this we get

2x + 6y = 17         ...(2)

Now, we wil multiply (1) with 2 and (2) with 3.

From this, we get the equations as

6x + 8y = 26.5         ...(3)

6x + 18y = 51           ...(4)

Now, on subtracting (3) from (4), we get the solution as,

10y = 24.5

y = 2.45

Now, on substituting the value in (2), we get

⇒ 2x + 6 (2.45) = 17  

⇒ 2x + 14.7 = 17  

⇒ 2x = 2.3

⇒ x = 1.15

Hence, the cost of one box of envelopes is $1.15 and the notebook paper is $2.45.

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The given model represents exponential growth as the base is greater than 1. Hence, the population will increase every year.

When a quantity grows or increases at a constant rate per unit of time, it is called exponential growth.Exponential decay: When a quantity decreases at a constant rate per unit of time, it is called exponential decay.The given model for population growth isy = 494.29(1.03)t, where t is the number of years since the beginning of the decade. Here, the base of the exponential is 1.03, which is greater than 1. So, the given model represents exponential growth.The annual percent increase in population is 3% (as 1.03 is a 3% increase in each year).c. We need to estimate when the population was about 590,000. To do this, we need to substitute y = 590 in the given equation and solve for t.494.29(1.03)t = 5904.31t = log(590/494.29) / log(1.03) = 12.91 years approximatelyTherefore, the population was about 590,000 in the 13th year, i.e., after 12 years (as it is given that t is the number of years since the beginning of the decade).

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Answer:

1 balloon= $1

1 banner=$2

if u go by ths logic: the $5 you spent and the $7 ur friend spent makes sense. if they bought 1 banner so, u remove $2 from the $7 spent, then that would leave $5 for the 5 balloon that was bought. and for the one balloon u bought, so remove $1 from the 5 you spent, that would leave you with $4 divide that by 2 and u get $2 per banner