Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinder with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct?


Volume of Square Pyramid Volume of Cylinder
V = one third B(h) V = one thirdπr2h
V = one third(144)(10) V = one thirdπ(6.772)(10)
V = one third(1440) one thirdπ(45.8329)(10)
V = 480 in3 V = one thirdπ(458.329)
V ≈ 480 in3
Group of answer choices

Yes, his calculations are correct and the volumes for figures are equal.

No, he made a mistake in solving for the volume of the cylinder.

Yes, but he made a mistake in solving for the volume of the square pyramid.

No, he made a mistake in solving for the volume of both figures.

Answer:

6.4 × 10^-5

This is the standard form of 0.000064.

Answer:

0,1,2,3,4,5

Step-by-step explanation:

You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.

Answer:

C

The third one

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

A psychological test with a reliability of zero means that the results obtained from the test cannot be trusted or relied upon.

Reliability refers to the consistency or stability of a test over time. If a test has a reliability of zero, it means that the results obtained from the test are completely random and do not provide any meaningful information. This could be due to a variety of factors, such as poor test design, inconsistent scoring methods, or unreliable measures of the construct being assessed.

It is important for psychological tests to have high reliability in order to ensure that they are accurately measuring what they are intended to measure. Without reliability, the results obtained from the test cannot be trusted and may even be misleading. For example, if a test is designed to measure anxiety levels, but has a reliability of zero, it is impossible to know whether the results obtained from the test reflect actual anxiety levels or are simply random. To improve the reliability of a test, it is important to carefully design the test and scoring methods, ensure that the measures used are consistent and reliable, and conduct multiple test administrations to assess consistency over time. By improving reliability, researchers and clinicians can be more confident in the results obtained from the test and use them to make more informed decisions about diagnosis and treatment.

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Answer:

90

Step-by-step explanation:

The length of a side must be less than the sum of the other two sides. Here, that means x < 10+13, or x < 23.

In addition, remember that the length of a side must be greater than the difference of the other two sides. That means x > 13 - 10, or x > 3.

Therefore we have two limits for the value of x: 3 and 23.

3 < x < 23

Answer:

non-proportional

Step-by-step explanation:

The line doesn't go through the origin and it's not a straight line therefore the graph is not proportional. Hope this helps :)

Answer:

Not proportional

Step-by-step explanation:

The graph is not proportional because the line doesn't go through the origin. If the line start from the origin and went up it would be a proportional graph.  

The number of terms increase and we will compare it with another series whose sum we know that whether it is finite or infinite. Let us first simplify the expression:√j / (j + 3)

= (√j / (j + 3)) * (√j / √j)

= j / (j√j + 3√j)

= j / (√j(j + 3))∑(-1)j is an alternating series that is decreasing for all positive integer j, so the alternating series test can be used to show that it converges.

Also, √j / (j + 3) > 0 for all j > 0, so the absolute value of the terms of the series is equal to the terms themselves. We can then use the comparison test with the series 1 / √j to show that the series converges. The given series is,Σ(-1) j √j / (j + 3)j = 1 To check convergence or divergence of the given series,

√j / (j + 3) = (√j / (j + 3)) * (√j / √j)

= j / (j√j + 3√j)

= j / (√j(j + 3))

Now, using the Alternating Series Test, the absolute value of the terms of the series is √j / (j + 3) > 0 for all j > 0, so the absolute value of the terms of the series is equal to the terms themselves. We can then use the comparison test with the series 1 / √j to show that the series converges. Therefore, the series is convergent.

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Answer:

19.1 ft³

Step-by-step explanation:

Hello!

Volume of a cylinder: \(V = \pi r^2h\)

We can plug in the values and solve.

The volume is approximately 19.1ft³

Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To\:find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}\)

\(\longmapsto \sf 3.14×(1.5)^2×2.7\)

\(\longmapsto \sf 3.14×2.25×2.7\)

\(\longmapsto \sf 3.14×6.075\)

\(\longmapsto \sf 19.0755≈19.1\: cubic\:feet\)

Answer:

11000

Step-by-step explanation:

32000 ÷ 2 = 16000

16000 - 5000 = 11000

Answer: 84%

Step-by-step explanation:

sorry if I'm wrong

Answer:

8.15 miles

Step-by-step explanation:

5.95+2.2=8.15

Answer:

nonlinear

Step-by-step explanation:

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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The area enclosed by the ellipse \(\frac{x^2}{4}+\frac{y^2}{81}=1\) is 60 square units.

The general form of the equation of ellipse is  \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Given the equation of ellipse is,  \(\frac{x^2}{4}+\frac{y^2}{81}=1\)

⇒ \(\frac{x^2}{2^2}+\frac{y^2}{9^2}=1\)

That is, a = 2 and b = 9

Now,  \(\frac{y^2}{9^2} = 1 -\frac{x^2}{2^2}\)

⇒ \(y=\frac{9}{2} \sqrt{4-x^2}\)

Area enclosed by the ellipse = 4 x Area of ellipse in the first quadrant

Therefore, Area of ellipse in the first quadrant, A = \(\int\limits^a_0{\frac{9}{2} \sqrt{4-x^2}} \, dx\)

Using Substitution ,x = 2cosθ, then dx = -2sinθdθ and x = 0⇒ θ = π/2 and x = 2⇒ θ = 0

A = \(\int\limits^a_0{\frac{9}{2} \sqrt{4-4cos^2\theta}} \, dx\)

  = \(\int\limits^2_0{\frac{9}{2}\times2 \sqrt{1-cos^2\theta}} \, dx\)

  = \(\int\limits^2_0{9 sin^2\theta} \, dx\)

 = \(\int\limits^0_\frac{\pi}{2} {9 sin^2\theta} (-2sinx)\, d\theta\)

  = \(\int\limits^\frac{\pi}{2} _0{18 sin^3\theta} \, d\theta\)

  = \(\int\limits^\frac{\pi}{2} _0{18 (\frac{3sin\theta-sin3\theta}{4} )} \, d\theta\)

  = \(\frac{9}{2} \int\limits^\frac{\pi}{2} _b {3sin\theta} \, d\theta -\frac{9}{2} \int\limits^\frac{\pi}{2} _0 {sin3\theta} \, d\theta\)

  = 27/2 x (-cosθ) - 9/6 x (-cos3θ) |  θ = 0 to  θ =  π/2

  = 15 square units.

Therefore, the area enclosed by ellipse  \(\frac{x^2}{4}+\frac{y^2}{81}=1\) = 4 x A = 4 x 15 = 60 square units.

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Step-by-step explanation:

It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.

The difference between final position and the initial position is equal to displacement. It is the shorted path covered.

Let forward is +x and backward is -x

Initial position of Katie = +2 ft

Final position of Katie = -5 ft

Displacement = final position - initial position

= -5 - 2

Displacement = -7 ft

So, her displacement is 7 feet in backward direction.

Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

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Answer:

\(10 \sqrt{3} \)

Step-by-step explanation:

To find the value of x.

According to Pythagoras Theorem-

\( {20}^{2} = {10}^{2} + {x}^{2} \)

\( = > 100 + {x}^{2} = 400\)

\( = > {x}^{2} = 400 - 100\)

\( = > {x}^{2} = 300\)

\( = > x = \sqrt{300} \)

\( = > x = 10 \sqrt{3} \)

Hence, the required value of x is

\( 10\sqrt{3} \)

Answer:

U = 48

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+21 + x+23 + x+61 = 180

Combine like terms

3x + 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide by 3

3x/3 = 75/3

x = 25

We want angle u

x+23

25+23

48

Answer:

48

Step-by-step explanation:

All interior angles of a triangle add up to 180.

\((x+21)+(x+23)+(x+61)=180\)

If you wanted to you could subtract 21, 23, and 61 from 180.

\((x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75\)

Then take then number that's left and divide it by three, since they are all in addition to the same variable.

\(\frac{3x}{3}=\frac{75}{3}\\ x=25\)

Then add 25 to 23 which is 48.

The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.

The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.

Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.

Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.

So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.

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The gratuity of hotel server has to be $8.  The percent of gratuity to the nearest benchmark is 8%

A tip paid by a customer in appreciation of services is known as a gratuity. When you have your hair cut or eat lunch at a restaurant, you might leave a few bucks as a tip.

A tip is typically a modest sum of money, or a proportion of the overall price of a good or service. A tip is a separate payment made to the person who performed the service; it does not cover the cost of the items purchased. For example, in the In the United States, gratuities for waiters and waitresses are normally between 18 and 20 percent of the entire bill for a meal.

Calculating the gratuity: The restaurant server's tax is 8.5%.

Based on the salary of $40, multiply it by 0.85 to get 34.

34 - 18 = 16 is the income.

1/6 of 16 equals 8

Therefore, the sum that represents the gratuity proportion is 8%.

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Applying the knowledge of algebraic equations, we have:

21. x = -5

23. x = -2

24. 35, 37, 39

27. W = V/LH

28.  B = (A - PH)/2

In algebra, to solve for any variable, we have to make the variable the subject of the formula by isolating the variable to one side of the algebraic equation.

21. Let the unknown number = x. The algebraic equation that would be used to find x is:

x - 6 = -11

Solve for x

x = -11 + 6

x = -5

23. Let the unknown number = x. Thus, the algebraic equation to be created to find x would be:

5x - 1 = -11

Solve for x

5x = -11 + 1

5x = -10

x = -10/5

x = -2

24. Odd numbers cannot be divided by 2 without a remainder, so, the consecutive odd numbers that have a sum of 111 are: 35, 37, 39

27. V = LWH

Solve for W

V/LH = W

W = V/LH

28.  A = PH + 2B

Solve for B in the equation

A - PH = PH + 2B - PH

A - PH = 2B

Divide both sides by 2

(A - PH)/2 = B

B = (A - PH)/2

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Answer:

21:x=17

23:x=-2

24:35,37,39

27:V/LH

28:B=(A-PH)/2

Step-by-step explanation:

21: To find the difference between 6 and -11, you can do 6-(-11). Since the two negatives cancel out into positive, it will become 6+11 which is 17.

23: So we know that -11 is 1 added to 5 times a number. Let's just use x for the number. So we have 5x+(-1)=-11 or 5x -1=-11. So we move the negative 1 to the other side and make the sign in front of it a positive. It would look like this: 5x=-11+1, which is also 5x=-10, so x=10/5 or -2.

24: You first do 111/3 which is 37. Then on the left side, you take away to from 37 since it wants it to be odd, and on the right side, you add 2 to get 39. So, it will look like: 35,37,39.

27: V=LWH, W=V/LH.

28: A - PH = PH + 2B - PH, A - PH = 2B, (A - PH)/2 = 2B/2, B = (A - PH)/2.

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s

Answer:

79

Step-by-step explanation:

80 divided by 8+72-3

10+72-3

82-3

79

Hope this helps!

Answer:

15

Step-by-step explanation:

OPTION 1:

We can use the distance formula to find the distance between these two points.

\(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

X2 is -9, X1 is 0, Y2 is -10, and Y1 is 2, so we can substitute inside the equation.

\(\sqrt{(-9-0)^2 + (-10-2)^2}\\\\\sqrt{9^2 + -12^2}\\\\\sqrt{81 + 144}\\\\\sqrt{225}\\\\15\)

OPTION 2:

We can look at the change in x and the change in y and use the Pythagorean Theorem to find the missing length of the hypotenuse.

The x changes by 9, and the Y changes by 12.

\(a^2+b^2=c^2\) is the Pythagorean Theorem. We know a and b, so we can substitute inside the equation.

\(9^2 + 12^2 = c^2\\\\81+144=c^2\\\\225=c^2\\\\c=15\)

Hope this helped!

Answer: The distance is 15 units.

Step-by-step explanation:

Find the difference in the x and y coordinates and square them and add them together.

(0,2) and (-9,-10)  The x coordinates are 0 and -9  and the y coordinates are 2 and -10.

0-(-9) = 9

2-(-10) = 12

9^2 + 12^2 = d^2

  81 + 144 = d^2

   225 = d^2

d = \(\sqrt{225}\)  

  d= 15

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

3.2 Gallons

Step-by-step explanation:

First you figure out the area of each rectangle:

24 x 12= 288 squared feet

Then multiply 288 by four (because there are four walls):

288 x 4= 1,152

Finally you divide 1,152 by 360:

1,152 ÷ 360 = 3.2

Answer:

Hi! The answer to your question is x = 7

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

x = 7

Step-by-step explanation:

this is a linear equation

Answer:

the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.

O pool cleaning is a service that is provided by this business to its customers.

The correct option is C. The team that installs the new pools.

Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.

The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.

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