What is the volume of the cylinder when the radius is 9 and the width is 15?

To determine the optimal moving average number, compare mean square error (MSE) values for three, four, and five weeks. Without these values, it's difficult to determine the best number of weeks.

To determine the best number of weeks of past data to use in the moving average computation, we need to consider the mean square error (MSE) values for different options. In this case, the MSE for the three-week moving average is given as 14.9.

To make an informed decision, we need to compare the MSE values for different numbers of weeks. Unfortunately, you haven't provided the MSE values for the four-week and five-week moving averages. Without these values, it is not possible to definitively determine which number of weeks would be the best for the moving average computation.

To make a recommendation, it would be helpful to have the MSE values for all three options (three, four, and five weeks). With that information, we could compare the MSE values and determine which number of weeks produces the smallest MSE, indicating a better fit to the data.

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For a garden composite bin is cylindrical shape with height 40 inch and diameter 18 inch, the maximum recommended amount of composite added to bin is 6786 in³. So, option(d) is right one.

We have a garden compost bin on store. The shape of bin is cylindrical with the

Height of cylinder = 40 inch

diameter of cylinder = 18 inch

radius of cylinder= d/2 = 9 inch

We have to determine the maximum amount of compost added to bin. Manufacturer recommends that it not be filled more than 2/3. That is Volume of composit < 2/3 of volume of bin --(1)

As we know, Volume of cylinder is written as V = πr² h

where, h--> height of cylinder

r--> radius of cylinder

here, h = 40 inch, r = 9 inch

So, volume V = π× 9² × 40 in³= 10173.6 in³.

Now, from equation (1), the maximum amount of compost that can be added to the bin = \(10,173.6× \frac{2}{3}\)

= 6785.50~ 6786 in³

Hence, required value is 6786 in³.

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Complete question:

A garden compost bin on sale at the hardware store is shaped like a cylinder with a 40 inch height and 18 inch diameter. To allow the compost to be mixed, the manufacturer recommends that it not be filled more than 2/3 full. What is the maximum recommended amount of compost that can be added to the bin, to the nearest ? Use for and round to the nearest

a) 2771 in³

b) 2374 in3

c) 10719 in³

d) 6786 in³

Answer:

D. p = -6

Step-by-step explanation:

1. combine like terms

5/6 P + 7 = 7/6 P + 9

2. subtract 7/6 P from both sides

-2/6 P + 7 = 9

3. subtract 7 from both sides

-2/6 P = 2

4. multiply both sides by -6/2

Answer:

p = -6

Answer: D

Step-by-step explanation:

Answer:

£12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The centroid of a triangle is the intersection point of the median of the triangle.

The expression for FJ is (a) 2x + 2y

From the triangle (see attachment), we have:

\(\mathbf{FJ = FM + MJ}\)

Where:

FM = 2x

MJ = 2y

So, we have:

\(\mathbf{FJ = 2x + 2y}\)

Hence, the expression for FJ is (a) 2x + 2y

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Yolanda’s error during the calculation of the volume is that A. Yolanda should have found the volume by multiplying 8 by Two-thirds.

It should be noted that the volume of a sphere is simply 4/3πr³.

In this case, the sphere and a cylinder have the same radius and height and the volume of the cylinder is 8 meters cubed.

Based on the information given, Yolanda’s error during the calculation of the volume is that she should have found the volume by multiplying 8 by two-thirds.

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If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5. Also, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7. Therefore, it is clear that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

A Pythagorean triple is a set of three integers that satisfy the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or hypotenuse. For example, the triple (3, 4, 5) is a Pythagorean triple because 3^2 + 4^2 = 5^2.

Now let's talk about triangular numbers. A triangular number is the sum of the first n positive integers, and it can be represented by the formula Tn = 1 + 2 + 3 + ... + n = (n(n+1))/2. The first few triangular numbers are 1, 3, 6, and 10.

Interestingly, in the list of the first few Pythagorean triples, we can observe a pattern where the value of b is four times a triangular number. For example, in the Pythagorean triple (3, 4, 5), we have b = 4T1. In (5, 12, 13), b = 4T2. In (7, 24, 25), b = 4T3. And in (9, 40, 41), b = 4T4.

So the question is: is this pattern true for all triangular numbers? Let's investigate further.

a) To find a primitive Pythagorean triple (a, b, c) with b = 4T5, we need to find a value of a and c such that a^2 + b^2 = c^2 and b = 4T5. Using the formula for T5, we get T5 = (5(5+1))/2 = 15. Therefore, b = 4T5 = 60. We can use the Euclid's formula for generating Pythagorean triples, which states that for any two positive integers m and n with m > n, a Pythagorean triple (a, b, c) can be generated by a = m^2 - n^2, b = 2mn, and c = m^2 + n^2.

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5.

Similarly, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7.

b) Now, the question is whether there is a primitive Pythagorean triple (a, b, c) with b = 4Tn for any triangular number Tn. Let's assume this is true and try to prove it.

Using the same Euclid's formula, we can generate a primitive Pythagorean triple (a, b, c) with b = 4Tn by setting m = 2Tn+1 and n = Tn. This gives us a = 4Tn^2 + 1 and c = 4Tn^2 + 2Tn + 1, and we can verify that b = 4Tn using the formula for Tn.

Therefore, we have proven that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

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Answer:

810

Step-by-step explanation:

\(V = l * w * h = 5 * 9 * 18 = 810\ cm^3\)

Answer:

9

Step-by-step explanation:

Answer:

there are nine teachers

Step-by-step explanation:

Answer:

It has exactly 3 congruent sides.

Step-by-step explanation:

Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF  + ∠GFJ = 180°.

So, 30° + 90° + ∠GFJ = 180°

120° + ∠GFJ = 180°

∠GFJ = 180° - 120°

∠GFJ = 60°

Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH  + ∠JHG = 180°.

So, 30° + 90° + ∠JHG = 180°

120° + ∠JHG = 180°

∠JHG = 180° - 120°

∠JHG = 60°

Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°

Since ∠FGH = ∠GFJ = ∠JHG = 60°

So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.

So exactly 3 sides are congruent in ΔFGJ.

Answer:

It has exactly 3 congruent sides

Step-by-step explanation:

took the unit test on edg 2020

the probability that he gets on base all three times he bats in the game is: 0.43 x 0.43 x 0.43 = 0.079 or approximately 7.9%.

If the probability of Alec getting on base in one at-bat is 43%, then the probability of him not getting on base in one at-bat is 57% (100% - 43%). The probability of him getting on base all three times he bats is the product of the probabilities of him getting on base in each of the three at-bats. Using the multiplication rule of probability, we multiply the individual probabilities to get the probability of all three events happening together. So, the probability of Alec getting on base all three times he bats in this game is 0.43 x 0.43 x 0.43, which is approximately 0.079 or 7.9%.

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Answer:42

Step-by-step explanation:

Answer:

19.4

Step-by-step explanation:

Answer:

19.40$

Step-by-step explanation:

97

×

20

______

19.40$

The number of triangles that can be constructed from the given conditions are:

0 triangles can be constructed from the lengths of 4 cm, 2 cm, and 7 cm as they do not satisfy the triangle inequality theorem.

1 triangle can be constructed from the measures of two angles, 30° and 60°, and the length of the included side, 12 inches, using the sine rule to calculate the length of the other side.

Infinitely many triangles can be constructed from the measures of the three angles, 45°, 75°, and 60°, as long as the sum of the angles is 180°. This is because the sides can be varied in length and still satisfy the given angle measurements.


Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In the given conditions, the lengths of 4 cm, 2 cm, and 7 cm do not satisfy this theorem. Therefore, no triangle can be constructed from these lengths.

For the measures of two angles, 30° and 60°, and the length of the included side, 12 inches, we can use the sine rule to calculate the length of the other side. We know that the ratio of the length of a side to the sine of the opposite angle is constant for all sides of a triangle. Therefore, we can use the sine rule to calculate the length of the third side. Since we have two angles and one side, there is only one possible triangle that can be constructed from these conditions.

For the measures of the three angles, 45°, 75°, and 60°, we can construct infinitely many triangles as long as the sum of the angles is 180°. This is because the sides can be varied in length and still satisfy the given angle measurements. Therefore, we can construct infinitely many triangles with these given conditions.

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Answer:

=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems. See More Examples ». x+3=5. 1/3 +

Step-by-step explanation:

Answer:

y=x^2+1

Step-by-step explanation: 4x+2=2 (x+6)

The missing value in the triangle is 120 degrees

To find the missing angle, we can use the property of a triangle that the sum of the interior angles is 180 degrees.

Let's call the missing angle "c". Then, we have:

a + b + c = 180 degrees

Given that b = 50 degrees and a = 10 degrees

we can substitute these values into the equation:

10 + 50 + c = 180

Solving for c:

c = 180 - 10 - 50 = 120 degrees

Hence, the missing angle in the triangle is 120 degrees

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Answer:

Look bellow

Step-by-step explanation:

1.08 x 10 = the total amount they have (10.8)

Get the 10.8 and divide it by 5

5 because it takes 5 yards to make one dress

The equation 3x⁴+5x³-2x²+x-9=0 has:

* At most 4 complex roots.

* At least 2 real roots.

* 0 or 4 rational roots.

The number of complex roots of a polynomial equation is determined by the number of its factors of the form x²+bx+c, where b and c are real numbers. In this case, the equation has 4 factors of this form, so the number of complex roots is at most 4.

The number of real roots of a polynomial equation is determined by the number of its factors of the form x-a, where a is a real number. In this case, the equation has at least 2 factors of this form, so the number of real roots is at least 2.

The number of rational roots of a polynomial equation is determined by the number of its factors of the form x-a, where a is a factor of the constant term of the equation. In this case, the constant term of the equation is 9, so the possible rational roots are 1, 3, 9, and -1. Therefore, the number of rational roots is 0 or 4.

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Answer:

x>33

Step-by-step explanation:

x-24>9

-24 moves to the other side and becomes positive

x>9+24

x>33

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

The sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others.

For the given situation,

Sample size = 20

Here Matilda have surveyed only 20 people. Since it is a less value, the sample is biased.

We could not take as the population suggestion with the suggestion of only seven people.

To know the population's liking's, Matilda should have asked more people in the street if they would like to discuss what they want to do during the summer break asked more number of people in the population.

Hence we can conclude that the sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

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The given function belongs to the linear family.

According to the statement

we have to find that the type which is belongs to the function f.

So, for this purpose, we know that the

To identify the function family, we do the following

Identify the variable --- the variable of the function is x

Check if the variable has any negative exponent -- x has no negative power

Identify the highest power of x -- The highest power of x is 1.

Then

When there is no negative exponent and the highest power of the variable is 1, then the function belongs to the linear family.

Next, we compare the function to its parent function.

The parent function of a linear function is:

y = x

And it is translated by the 8.

So, The given function belongs to the linear family.

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Answer:

y = 6x - 7

Step-by-step explanation:

We can use the equation y = mx + b as a guide to help us solve this problem

The variables are given in the problem, so we just need to replace them with their respective variables, which give us:

y = 6x - 7

Answer:

The third one down is the correct answer.

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Step-by-step explanation:

Width =  w units

Length = ( w + 13 ) units

Perimeter of rectangle = 38 units

2* (length + width) = 38

2*(w +13 + w )= 38            {Use distributive property: a*(b+c)=(a*b) +(a*c)

2* ( 2w + 13)   = 38  

2*2w + 2*13   = 38

     4w + 26   = 38              {Subtract 26 from both sides}

              4w   = 38 - 26

              4w =  12       {Divide both sides by 4}

                w = 12/4

w = 3 units

Length = 3 + 13 = 16 units

Answer:

3 more kids

Step-by-step explanation:

Answer:

3 kids can join in on the fun.

Step-by-step explanation:

Total number of kids who can jump on the trampoline = 6

Kids jumping currently = 3

Therefore, The number of kids who can join the fun will be the difference of the total number of kids who can jump on the trampoline and kids jumping currently.

= 6 - 3

= 3

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Answer:

70

Step-by-step explanation:

the function 2x-5 = 135 and solving for x

Answer:

Where is M??

Step-by-step explanation:

Answer:

its 35 feet less

Step-by-step explanation:

but can u take another angled photo