Select the correct statement about the function represented by the table

The height of the cylinder will be 5 units based on the information given.

The cylinder has a volume of 45π cubic meters and the radius is 3 units.

The height will be calculated thus:

Volume of a cylinder = πr²h

45π = πr²h

45π = π(3²)h

45π = 9πh

h = 45π/9π

h = 5

Therefore, the height of the cylinder will be 5. units.

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Answer:

p = 5

Step-by-step explanation:

Given equation:

2p - 3 = p+2

To Find:

Soln:

2p - 3 = p + 2

Subtract p from both sides:

=>2p-3−p = p+2-p

=>p-3 = 2

Add 3 to both sides:

=>p−3+3 = 2+3

=>p = 5

Hence,the value of p would be 5.

We can plug the value we got to the original equation to verify:

=> 2p - 3 = p + 2

=> 2(5) -3 = 5 + 2

=> 10 - 3 = 7

=> 7 = 7 [Proved]

Hence,this equation is true.

[tex]\rule{225pt}{2pt}[/tex]

Acronym PEMDAS rule means:

Answer:

p = 5

Step-by-step explanation:

First we add 3 to both sides to make :

2p = p + 5

Now we subtract p from both sides :

p = 5

Hope this helped and brainliest please

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

3. 2/8, 4/16, 3/12

4. 6/8, 9/12, 4/16

Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

6/16 = 3/8 (done by dividing both terms by 2)

4/10 = 2/5 (divide both by 2)

3/8 = 3/8 (fully reduced)

2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

3. This question is solved the same way as questions 1 and 2.

Step 1: reduce answer choices

3/8 = 3/8

2/8 = 1/4

4/9 = 4/9

2/7 = 2/7

4/16 = 1/4

10/14 = 5/7

6/9 = 2/3

3/12 = 1/4

4. This question is solved the same way as questions 1, 2, and 3.

Step 1: reduce answer choices

6/8 = 3/4

4/9 = 4/9

4/6 = 2/3

9/12 = 3/4

10/12 = 5/6

6/9 = 2/3

12/16 = 3/4

7/9 =7/9

Answer:

the original price of the product is $109.20

Answer:

109.2

Step-by-step explanation:

First multiply: 78 × 40 = 3120

Then Divide by 100: 3120 ÷ 100 = 31.2

Then add 31.2 to the sales price: 78 + 31.2 = 109.2

If Larry is measuring the object's mass, the object he is most likely measuring is; D: A horse.

There are different units of measurement for different parameters such as meters for length, seconds for time, Amperes for current e.t.c.

Now, we are talking about measurement of an object mass in grams. This means it has to be a living thing and as such from the options, the only living thing is a horse.

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Answer:

135 degrees

Step-by-step explanation:

180-90=90/2=45

180-45=135

Hope this helped:)

The measure of <YXP and <YZQ are 35 and 65 degrees respectively

Equilateral triangles are triangles that has equal sides and angles.

From the given diagram;

<YZQ + 90 + 25 = 180

<YZQ =180 -115

<YZQ = 65degrees

Determine the measure of <YXP

<YXP = 60 - 25 (XYZ is a 60degrees triangle)

<YXP = 35 degrees

Hence the measure of <YXP and <YZQ are 35 and 65 degrees respectively

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Answer:

y=586.4

Step-by-step explanation:

64^2= 64x64 = 4096

4096-7y+9=0

4105-7y=0    1. +7y on both sides

4105=7y       2. /7 on both sides

y=586.4

The percentage discount per sack when you buy two sacks is 14.5%

The given parameters are:

The percentage discount is calculated as:

[tex]Percentage = \frac{Cost - Discount}{Cost} * 100\%[/tex]

This gives

[tex]Percentage = \frac{15.5 - 13.25}{15.5} * 100\%[/tex]

Evaluate

Percentage = 14.5%

Hence, the percentage discount per sack when you buy two sacks is 14.5%

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Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

The dataset of doctor A is given as:

643 634 670 658 636 624 641 655 649 629

The dataset of doctor B is given as:

651 625 622 624 631 621 653 647 646 646

Using a statistical calculator, we have:

Doctor A

Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses

In a dataset, the larger the mean absolute deviations value, the larger the variation.

By comparison, 12 is greater than 11.28

Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

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Division is one of the four fundamental arithmetic operations. The number of pints of water Scott drank yesterday is 4.2 pints.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. Therefore, the length of each piece of rope in inches will be,

Length of piece = 14.35 inches/7 = 2.05 inches

Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. Therefore, the number of pints of water Scott drank yesterday is,

Number of pints = 3.5 bottles × 1.2 pints = 4.2 pints

Hence, The number of pints of water Scott drank yesterday is 4.2 pints.

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The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

Looking at the product of matrix, note that to multiply  the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.

And in this case (propensity), it is not satisfied by the first  option because:

C =  3 x 1  and

O= 2 x 1  matrix

In this case CD is therefore undefined.

So we can say that The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

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The stem-and-leaf plots for both data set are shown in the attachment below.

Stem 5 would have 10 leaves.

For example, if 23, 24, 25, 28 are data points in a data distribution, 2 would be represented as a stem while 3, 4, 5, 8 would be the leaf of the stem. The data would be represented on the stem-and-leaf plot as: 2 | 3, 4, 5, 8.

Given the data, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, the stem-and-leaf plot is shown in the image attached below.

Stem 5 would have 10 leaves, as shown in the stem-and-leaf plot attached below.

The numbers 4 and 89 are represented on the second stem-and-leaf plot in the attachment below.

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Answer:

490,000 grams

Step-by-step explanation:

To convert from kilograms to grams - multiply the number of kilograms by 1000. (there are 1000 grams in a kilogram)

[tex]490 * 1000 = 490,000[/tex]

Answer:

490000

Step-by-step explanation:

1 kg : 1000 gram

So,

490 kilograms : 490 ×1000 grams

: 490000 grams

The total cost of these pepperoni slices is $1.92

Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:

N*(7/8 in) = 56 in

Now we can find the value of N, the number of slices used:

N = (8/7)*56 = 64

And each slice costs $0.03, then the cost of the 64 slices is:

C = $0.03*64  = $1.92

The total cost of these pepperoni slices is $1.92

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Answer:

Step-by-step explanation:

Givens

Comment

This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.

Equation

wage/time = wage2/time2                   Substitute values.

Solution

367.40 /22 = 584,50 /x                        Cross multiply

367.40x = 22 *584.50                          Simplify the right

367.40x = 12859                                   Divide both sides by 367.40

x = 12859/367.40

x = 35

Answer

Genesis will have to work 35 hours.

Answer:

200 US DOLLARS

Step-by-step explanation:

Given; $1=R17

To find: How much is Zar3400 in US DOLLARS

$1=R17

R3400=3400/17 US DOLLARS

=200 US DOLLARS

Hope my answer is right thank you.

Answer:

The area and the perimeter of the square barn which has each side 9 meters long is 81 m² and 36 m.

Step-by-step explanation:

Answer:

C. FE and ED

Step-by-step explanation:

The question is asking what are the sides of angle E. I've marked angle E along with its sides in the attached picture.

One side of the angle E has to be ED.

However we have multiple options for the other side. It can be called FE, CE or BE.

So the answers could be any of:

- ED and FE

- ED and CE

- ED and BE

The option that has one of the possible answers is option C: FE and ED.

Answer:

[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]

Step-by-step explanation:

Radius = r = 6 mm

Circumference = C = ?

C = 2πr

C = 2(π)(6 mm)

C = 12π mm

[tex]\rule[225]{225}{2}[/tex]

Answer:

12π mm

Step-by-step explanation:

Circumference of a circle is given by the formula :

2πr

where r is the radius

We substitute our radius value from the diagram to find our answer:

2×π×r = 2×π×6

12×π = 12π

Units will me mm since this is a length

This is our final answer since we are told to leave it in terms of pi.

Hope this helped and brainliest please

The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.

An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.

In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100

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The error term in a regression equation is said to exhibit homoscedasticity if  it has the same variance for all values of the explanatory variable.

This is a condition in which equal variance is assumed for different groups of data or variables.

The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.

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Answer:

C) -1/4

Step-by-step explanation:

respuesta .... es la opcion c

Reason:

The largest sin(x) can get is 1, and the same goes for sin(3x).

Consequently, the largest 2sin(3x) can get is 2.

You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.

Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2

the lowest mileage rate is 25 miles per gallon.

Multiply 25 by 15 gallons

25 x 15 = 375 miles

Answer: B. 375 miles

The dimensions of each pen will maximize the total enclosed area are:  Length 81 feet; Width 81 feet.

Length = x

Width = y

Area = xy

Perimeter equation is

2(x + y) = 324

  x + y = 162

Substituting the perimeter equation

Area = x(162 - x)

Area = -x2 + 162x

If the zeros of the quadratic are 0 and 162, then the median  will be where the maximum area occurs.

162/ 2

= 81

Hence, the dimensions are

Length = 81 feet

Width = 162 - 81 = 81 feet

Therefore the dimensions of each pen will maximize the total enclosed area are:  Length 81 feet; Width 81 feet.

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The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it.  Looking at the problem statement, it asks for us to determine the area of the figure.  In return, we are given the radius of the circle along with the number to use for pi.

Now that we have gathered all of the important information, we can move onto the actual calculations of the problem.  Let us use the area of a circle formula to be able to capture the work.

Plug in the values

Now that we have the expression ready we have several steps that need to be completed in order to have our area ready.  Let us start by expanding the exponent.

Expand the exponent

Multiply

Simplify the expression

Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.

Answer:

616 square centimeters

Step-by-step explanation:

Area of a circle: πr²

Given:

Substitute the given values into the formula:

[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]

Therefore, the area of the circle is 616 cm².

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