Please help with this geometry problem and explain it step by step

Answer:

h=1ft

Step-by-step explanation:

The volume of a cone is:

v=πr^h/3

plug in the values (I am assuming not 1/18π but 1/18×π):

1/18π=  π1/3^2h/3

Get rid of the radius:

1/3^2=1/9

Continue:

π/18= πh/3*1/9= πh/18

Remove the denominators:

π=πh

Divide both sides by π :

h=1

Answer:

a bag of 5 kg potatoes for $4.99

Step-by-step explanation:

estimated $5.00 for 5 kg

5.00/5 = $1.00 per kg

Answer:

A Scatter (XY) Plot has points that show the relationship between two sets of data. In this example, each dot shows one person's weight versus their height. (The data is plotted on the graph as " Cartesian (x,y) Coordinates ")

Step-by-step explanation:

hope it helps

It will take 5.01 years for Mantago to repay the money that he would borrow.

Assume that it will take 't' years for Mantago to repay the money that he would borrow.

Here, we use monthly cashflow formula:

\(C=P\times r\times \frac{(1+r)^{12t}}{(1+r)^{12t} - 1}\)

where, P is loan amount

r is ARM(adjustable-rate mortgage) interest rate

C is monthly cashflow

here, R = 7.5%

So, r = 0.075

For monthly payment the interest rate would be r = 0.075/12

i.e., r = 0.00625

P = 10000

C = 200

We need to find the number of years t.

\(200=10000\times 0.00625\times \frac{(1+0.00625)^{12t}}{(1+0.00625)^{12t} - 1} \\\\200=62.5\times \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}\\\\ \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}=3.2\\\\(1.00625)^{12t}}=[(1.00625)^{12t} - 1]\times 3.2\\\\(1.00625)^{12t}-3.2(1.00625)^{12t}=-3.2\\\\-2.2(1.00625)^{12t}=-3.2\\\\(1.00625)^{12t}=1.4545\)

\(12t=60.13\\\\t=5.01\\\\t \approx 5\)

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Answer:

8

Step-by-step explanation:

8•4=32 it's not that bad

Tenemos que resolver un ejercicio algebraico.

Veremos que la opción correcta es B: 47,886

Lo que sabemos es:

21,751 fans pusieron "me gusta"

83,464 pusieron "me encanta"

Asumimos que cada fan puede usar una sola de esas dos cosas.

Entonces el número total de fans es:

21,751 + 83,464 = 105,215

Tambien sabemos que entre los fans, hay 57,329 mujeres.

Entonces el resto serán hombres:

105,215 -  57,329 = 47,886

Podemos concluir que hay 47,886 hombres, por lo que la opción correcta es B.

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Answer:

D

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = n logx

given

2(\(5^{x}\)) = 14 ( divide both sides by 2 )

\(5^{x}\) = 7 ( take log of both sides )

log \(5^{x}\) = log7 , then

xlog5 = log7 ( divide both sides by log5 )

x = \(\frac{log7}{log5}\)

The areas of the composite figures are listed below:

Case 6: A = 134.126 ft²

Case 7: A = 212.5 cm²

Case 8: A = 957.305 m²

Case 9: A = 316.643 in²

In this problem we find four cases of composite figure, that is, figures that are the result of adding and subtracting figures, whose area formulas are introduced below:

Semicircle

A = 0.5π · r²

Circle

A = π · r²

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

Now we proceed to determine the area of each composite figure:

Case 6

A = (25 ft)² - π · (12.5 ft)²

A = 134.126 ft²

Case 7

A = (25 cm) · (14 cm) - 0.5 · (25 cm) · (11 cm)

A = 212.5 cm²

Case 8

A = 0.5π · [(21.6 m)² + (9 m)²] + 0.5 · (21.6 m) · (9 m)

A = 957.305 m²

Case 9

A = 0.5 · (20 in) · √[(25 in)² - (20 in)²] + (17 in) · √[(25 in)² - (20 in)²] - 0.5π · 0.25 · [(25 in)² - (20 in)²]

A = 316.643 in²

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Answer:

linear

non-linear

Step-by-step explanation:

Answer:

48 students in each bus

Step-by-step explanation:

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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The five number summary for the set of data is given as follows:

The first step in constructing the five number summary is showing the entire data-set, which is defined from the frequency table, which gives the number of times that each observation appears.

The entire data-set is given as follows:

8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 14, 16.

From this, we already have that:

The data-set has 15 values, which is an odd cardinality, thus the median is the middle element, which is of 11.

Then the data-set can be divided into two halves, as follows:

Then the quartiles are obtained as follows:

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Answer:

he process of changing light into stored chemical energy in the form of sugars

Step-by-step explanation:

The process in which light energy is converted to chemical energy in the form of sugars is correct.

Option (B) is correct.

What is the definition of photosynthesis?

Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.

Given that:

Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8

So, the process in which light energy is converted to chemical energy in the form of sugars is correct.

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From the given information provided, the means of x₁, x₂,  and x₃ are 158.28, 41.3, and 43.75 respectively.

a. Handle the missing values using omission strategy:

The omission strategy involves removing any observation with missing values.

The resulting table after the omission strategy is as follows:

Obs x₁ x₂ x₃

1 248 3.5 3.8

2 55 150 74

3 196 4.5 32

4 134 6.2 63

We can see that one observation with missing values was removed, which was observation 5.

b. Handle the missing values using simple mean imputation strategy:

The simple mean imputation strategy involves replacing the missing values with the mean of the non-missing values.

The means of x₁, x₂, and x₃ are calculated as follows:

mean of x₁ = (248 + 55 + 196 + 134) / 4 = 158.25

mean of x₂ = (3.5 + 150 + 4.5 + 6.2) / 4 = 41.3

mean of x₃ = (3.8 + 74 + 32 + 63) / 4 = 43.75

The resulting table after the simple mean imputation strategy is as follows:

Obs x₁ x₂ x₃

1 248 3.5 3.8

2 55 150 74

3 196 4.5 32

4 134 6.2 63

5 158.25 41.3 43.75

We can see that all missing values were replaced, which were x₁ in observation 5 and x₃ in observation 3.

Question - The following table contains 3 variables and 5 observations including some missing values x₁ x₂ x₃ 248 3.5 3.8 55 150 74 196 4.5 32 134 6.2 63 a. Handle missing values using omission strategy. b. Handle missing values using simple mean imputation strategy. How many missing values are replaced? What are means of x₁, x₂, and x₃?

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Answer:

-2.5

basically use slope formula which is x2-x1/y2-y1

The surface area of the new, similar prism that is three times as large is 234 square inches.

We have,

The surface area of a triangular prism is given by the formula:

SA = 2B + Ph

where B is the base area of the triangular base, P is the perimeter of the base, and h is the height of the prism.

Let's call the surface area of the original prism SA1, and the surface area of the new, larger prism SA2.

Since the two prisms are similar, their corresponding side lengths are in proportion.

Let's say that the ratio of corresponding side lengths is k:1, where k is the scaling factor.

Since the surface area of a prism is proportional to the square of its side lengths, we have:

SA2 / SA1 = (k/1)² = k²

We are given that the new prism is three times as large as the original, so:

SA2 = 3 SA1

Substituting into the equation above, we get:

3 SA1 / SA1 = k²

k = √(3)

So the scaling factor is √(3):1.

This means that each side length of the new prism is sqrt(3) times as long as the corresponding side length of the original prism.

To find the surface area of the new prism, we need to know the base area, perimeter, and height of the original prism.

The surface area of the new prism is 3 times as large as the surface area of the original prism, so:

SA2 = 3 SA1

= 3 x 78

= 234 square inches

Therefore,

The surface area of the new, similar prism that is three times as large is 234 square inches.

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Answer:

f  ( 7 )  =  48

Step-by-step explanation:

Set up the composite function and evaluate.

f  ( 7 )  =  48

Answer:

\(1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?\)

Step-by-step explanation:

The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

The probability that the pet seen was sick is 53.57%.

Step-by-step explanation:

Answer:

38 ft

Step-by-step explanation:

Answe

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

9 + 8 + 12 = 29

Step-by-step explanation:

Answer:

9 cups of apple juice

Step-by-step explanation:

Answer: 180 wpm

Step-by-step explanation: 30x6=180

Answer:

5 words a minute

Step-by-step explanation:

30 words in 6 minutes= 30 words/6 minutes= 5 words a minute.

Check:

5 words/minute * 6 minutes= 30 words/minute

Answer:

a³ + 5c

Step-by-step explanation:

That would be, symbolically, a³ + 5c

To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

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Given:

The volume of the cubic prism is 45 cubic inches.

Let the side length = x

So,

Taking the cubic root of 45

So, the answer will be the side length = 3.557 inches