the left and right page numbers of an open book are two consecutive integers whose sun is 561. find these page numbers.

The volume of a cone is the amount of space in the cone

The expression that represents the volume of the cone is: \(\frac{\pi}{4} \cdot \frac{4r^2h}{3}\)

The equation is given as:

\(V_c =\frac{\pi}{4} * V_p\)

Where:

From the diagram, the volume of the pyramid is:

\(V_p = \frac{4r^2h}{3}\)

Substitute the above value for Vp in the equation that represents the volume of a cone.

So, we have:

\(V_c = \frac{\pi}{4} \cdot \frac{4r^2h}{3}\)

Hence, the expression that represents the volume of the cone is: \(\frac{\pi}{4} \cdot \frac{4r^2h}{3}\)

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Answer:

D

Step-by-step explanation:

i did it

Answer:

  2.7 < x < 12.3 meters

Step-by-step explanation:

You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.

The triangle inequality requires the sides of a triangle have the relationship ...

  a + b > c

for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.

  7.5 -4.8 < x < 7.5 +4.8

  2.7 < x < 12.3 . . . . . meters

Answer:

x (9/4,0) and y(0,-1)

Step-by-step explanation:

Answer:

1=-1(y intercept) 2= 9/4( x intercept)

Step-by-step explanation:

divide both sides by 18

y= 4/9x-1

y= mx+c where m= gradient of the line and c =y intercept

At y intercept x= 0 and vice versa

substitute y for 0 to get the value of x

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!

Answer:

the area = 28.27 or you can write the answer out as 28.2744 or also 28.27433

Step-by-step explanation:

start with what we know. the formula for solving this is A=pi R squared

so, area= pi (3.1416)

then, multiply that by the radius given, which is 3.

So, 9.4248 × 3 = 28.2744 square inches

or 28.27 sq.in.

HOPE THIS HELPS... HAVE A GREAT DAY!!

On average, there are approximately 1140 skiers riding on the lift at any one time.

To find out how many skiers are riding on the lift at any one time, we can use the following formula:

Number of skiers riding = (Rate of unloading) x (Time for one round trip)

Since the ride from the bottom to the top takes 19 minutes, the time for one round trip is 38 minutes (19 minutes up and 19 minutes down).

So, we can calculate the number of skiers riding on the lift at any one time as follows:

Number of skiers riding = (1800 skiers/hour) x (38/60 hour)

Number of skiers riding = 1140 skiers

Therefore, on average, there are approximately 1140 skiers riding on the lift at any one time.

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Answer:

hello

Step-by-step explanation:

Answer:

none of the above

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

Given

\(5^{4m}\) = \(5^{12}\)

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

Answer:

64lbs of soil

Step-by-step explanation:

i had this question before and got it right hopess this helps :)

Answer:

The correct answer is :

Range is: {1000,1100,1200,1300,1400,1500,1600}

Step-by-step explanation:

We are given here input-output table.

Let us define the domain and range of a function.

Domain is the set of values that can be given as input to the function.

and

Range is the set of values that comes out as the output of the function.

For example:

\(y = f(x) = 2x\)

The domain of the function above is the set of values of x.

The range of function is the value of y or f(x).

For above example, range can be set of all Real numbers i.e. R.

Range for the above example will also be set of all Real numbers i.e. R.

From the given table in the question statement:

Input or Domain = {10,20,30,40,50,60,70}

Output or Range = {1000,1100,1200,1300,1400,1500,1600}

This can be expressed in this form:

1/2x - 18.

The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

450 per month

Step-by-step explanation:

5000-1400=3600

3600/8=450

Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.

The value of the stock after 2 years was 0.6497xx.

What is Mathematical expression?

The combination of number and variable by using addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

Christopher bought stock in a company two years ago that was worth xx dollars.

In the first year that he owned the stock, then it decreased by 11%.

In the second year the value of the stock decreased by 27%.

Now,

The multiplier of value for the first year was (1 - 11%) = 0.89

The multiplier of value for the second year was (1 - 27%) = 0.73

Then the multiplier of value for the two years was = 0.89 * 0.73

                                                                             = 0.6497

Hence, The value of the stock after 2 years was 0.6497xx.

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Step-by-step explanation:

i need to see the prism or i cant answer

Answer:

A rectangular prism made up of unit cubes. There are 5 layers, and each layer is 6 units long and 3 units wide.

?????.......

Step-by-step explanation:

Answer:

f in chat

Step-by-step explanation:

11

12

90

8

8

0

Answer:

19 minutes

Step-by-step explanation:

simply add the 2 highest years of experience and divide by 2 to obtain the average.

Answer:

4.9 in =34.3 ft

1.6 in= 11.2 ft

The area of the rectangle is 384.16 ft?

Step-by-step explanation:

I took the test and got it right :)

Answer:

The distance is 8 miles.

Step-by-step explanation:

Manuel's house, his parents house, and grandparents house can be expressed as the three vertices of a right angled triangle. Thus, Pythagoras theorem can be applied to determine the distance from Manual's house to that of his grandparents.

Let the distance from Manuel's house to that of his grandparents be represented by x, so that;

\(/Hyp/^{2}\) = \(/Adj 1/^{2}\) + \(/Adj 2/^{2}\)

\(/10/^{2}\) = \(/x/^{2}\) + \(/6/^{2}\)

100 = \(x^{2}\) + 36

\(x^{2}\) = 100 - 36

   = 64

⇒ x = \(\sqrt{64}\)

      = 8

x = 8 miles

Thus, Manuel's house is 8 miles from his grandparents house.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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If the objective function is q=\(x^2y\) and you know that x y=10, the objective function first in terms of x is q = 10x and then in terms of y is q = 100/y.

To write the objective function in terms of x, we can use the given value of xy = 10 and solve for y. Dividing both sides by x, we get:
y = 10/x
Now we can substitute this expression for y into the original objective function, q = \(x^2y\), to get:
q = x^2(10/x)
Simplifying this, we get:
q = 10x
So the objective function in terms of x is q = 10x.
To write the objective function in terms of y, we can use the same approach. Solving the given equation xy = 10 for x, we get:
x = 10/y
Substituting this into the original objective function, q = \(x^2y\), we get:
q = \((10/y)^2y\)
Simplifying this, we get:
q = 100/y
So the objective function in terms of y is q = 100/y.

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Answer:

60%

Step-by-step explanation:

33/55 = 0.6 which is 60%

Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

Answer:

heyy! im reaaally sorry if its wrong but I think its c, f, d

brainliest? :)

Step-by-step explanation:

Answer:

7= D

8= F

9= C

Step-by-step explanation:

7. x - 3 \(\leq\) 7

     +3     +3

x \(\leq\) 10

8. 3b < 18

   /3       /3

    b < 6

9. \(\frac{y}{3}\) > 9

  *3    *3

 y > 27

10- 12 I am so sorry, but I don't understand these functions lol

Torque is the cross product of the distance from the pivot point to the force, denoted by r, and the force applied, denoted by F. τ= r×F, where r is the moment arm, and F is the force. The direction of torque is either clockwise or counterclockwise depending on whether the force causes rotation that is clockwise.

Also, it is denoted by a positive sign for a counterclockwise torque and a negative sign for a clockwise torque.Let's assume that the vector F, acting on a rigid body about pivot point P, creates a moment, i.e., torque. The torque about P is determined by the product of the force magnitude, F, and the perpendicular distance, rm, from point P to the line of action of F.

 That is, τ=rm ×F. If F and rm are known, we may substitute them into the equation to obtain the torque in the direction of rotation.τ = rm × Fsin(θ) where θ is the angle between the two vectors F and rm.Therefore, the torque about P due to F is expressed in terms of rm and F or in terms of r, θ, and F as τ=rm ×Fsin(θ) or τ = rFsin(θ), respectively.

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The uniform continuous probability for the interval (25 < x < 45) within the uniform distribution U(15, 65) can be found by calculating the proportion of the total range that falls within that interval.

To calculate the probability, we need to determine the length of the interval (45 - 25) and divide it by the length of the entire range (65 - 15).

Length of the interval: 45 - 25 = 20

Length of the entire range: 65 - 15 = 50

Now, we divide the length of the interval by the length of the entire range to obtain the probability:

Probability = (Length of interval) / (Length of entire range) = 20 / 50 = 0.4

Therefore, the uniform continuous probability for p(25 < x < 45) within the uniform distribution U(15, 65) is 0.4, rounded to one decimal place.

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Answer:

182

Step-by-step explanation:

that is the ansor have a good daay

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

Answer:

μₓ = 36,000 dollars

σ ₓ= 1,000 dollars

Step-by-step explanation:

to find μₓ = 36,000 dollars:

Look in the question, it states that the mean is $36,000.

to find σ ₓ= 1,000 dollars:

\(\frac{3000}{\sqrt{9} } = 1000\)

The mean and standard deviation of the sampling distribution is $36000 and $1000.

What is Standard Deviation?

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

The mean and the standard deviation of the sampling distribution of the sample mean:

Mean, \(\mu\) = $36000

\(\sigma\) = 3000

n = 9

So, standard deviation of the sampling distribution

=  \(\sigma\) / √n

= 3000 / √9

= 3000/3

= 1000

Hence, Mean = $36,000 and standard deviation = $1000.

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