Simplify & Please show all work

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

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:

  not direct variation

Step-by-step explanation:

You want to know if the equation y = 3x +2 represents a direct variation between x and y.

Direct variation is characterized by the equation ...

  y = kx

for a constant of variation k. The point (0, 0) is on a graph of direct variation.

The given equation is not in this form, and cannot be put in this form. The value of y when x=0 is not 0, so the variation is not direct.

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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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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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Answer:

FA: Chord

BO: Radius

CO: Radius

DO: Radius

EO: Radius

CE: Diameter

Step-by-step explanation:

Hello!

Some lines in a circle:

Segment FA

This has endpoints inside the circle, but doesn't go through the center. This is a chord.

Segment BO

BO has an endpoint on the center and and an endpoint on the perimeter. This is a radius.

Segment CO

This is also a radius, it has an endpoint on the center and another endpoint on its perimeter.

Segment DO

This is a radius, it has n endpoint on the center and another endpoint on the perimeter

Segment EO

Another radius, with a an endpoint on the center and another endpoint on the perimeter.

Segment CE

A diameter. It has two endpoints on the perimeter of the circle and goes through the center of the circle.

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:

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!

Answer:

C) -1/4

Step-by-step explanation:

respuesta .... es la opcion c

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:

[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 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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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

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:

slope has a gradient of -3/5

Step-by-step explanation:

change in y / change in X

-6 / 10

for the length use Pythagoras

Answer:

  (a, y) = (10, 25)

Step-by-step explanation:

The two constraints give rise to two inequalities: one for the maximum number of pieces shipped, and one for the minimum revenue. A solution is a point on the graph where the inequality solutions overlap.

__

  We're told to use 'a' for the number of chairs, and 'y' for the number of tables.

  a +y ≤ 45 . . . . . . the maximum number that can be shipped is 45

  200a +650y ≥ 16000 . . . . . revenue must be at least 16000

The line for the revenue equation has a slope of -200/650 = -4/13. The solution space is above this line.

The line for the quantity shipped equation has a slope of -1, somewhat steeper. The solution space is below this line.

The boundary lines combine to define a wedge-shaped solution area in the left part of the first quadrant. One point that can be found in that area is ...

  (a, y) = (10, 25)

One possible solution is to sell 10 chairs and 25 tables.

Answer:

Point A:

(1, 1) -----> (-1, 1)

Step-by-step explanation:

When reflecting over the y-axis, take the opposite of the x-coordinate. That means if the coordinate is positive then it becomes negative, and if it is negative then it becomes positive.

(x, y) -------> (-x, y)

Point A:

(1, 1) -----> (-1, 1)

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:

2, 10, 50, 250

Step-by-step explanation:

For geometric sequences, multiply the previous term by the common ratio.

Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.

Our starting term is 2. So that is automatically the first term of the four.

Second term:

[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]

Third term:

[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]

Fourth term:

[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]

Answer:

135 degrees

Step-by-step explanation:

180-90=90/2=45

180-45=135

Hope this helped:)

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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the lowest mileage rate is 25 miles per gallon.

Multiply 25 by 15 gallons

25 x 15 = 375 miles

Answer: B. 375 miles

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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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:

B

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

[tex]\frac{cos^20-1}{4sin^20}[/tex]

= [tex]\frac{-sin^20}{4sin^20}[/tex] ← cancel sin²Θ on numerator and denominator

= [tex]\frac{-1}{4}[/tex]

= - [tex]\frac{1}{4}[/tex]