What is the mode of the teachers' ages?

Answer:

For radius = 12 the area = 452.16

for diameter = 16.8 the area = 221.5584

for radius = 3.4 the area = 36.2984

for diameter =10 the area = 78.5

Step-by-step explanation:

Farrah's unique equations is an illustration of system of equations

The unique equations are 2x + 3y = 42 and x + y = 19

The given parameters are:

The total points is represented as:

2x + 3y = 42

The total shots is represented as:

x + y = 19

Hence, the unique equations are 2x + 3y = 42 and x + y = 19

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Answer:

76.3%

Step-by-step explanation:

If  korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%

Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.

We need to find the korey’s gross profit margin

The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.

we can calculate Korey's gross profit margin as:

(Gross Profit / Net Sales) x 100%

= (3320 / 4350) x 100%

= 76.32%

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Answer:

[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

Step-by-step explanation:

We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]

And we want to find all zeros of f algebraically.

Since f(1) = 0, then (x - 1) is a zero of f.

We can hence factor by synthetic division:

[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]

Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]

Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

I think D at (2,1) will do

hope it helps...!!!

Answer:

(-1 , -1)

Step-by-step explanation:

let D be the missing point

D lie on the line that passes through the point A and parallel to the line BC

D lie on the line that passes through the point C and parallel to the line AB

Then D is the intersection of those two lines

Then D is the point of coordinates (-1 , -1)

Answer: A. = 37,38,39,41,43,47,52,54

Step-by-step explanation:

The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)

Therefore, we find a chronological list of numbers, such as:

37,38,39,41,43,47,52,54

This list is the answer Choice of A.

Hope this Helped!

Answer:

$300

hope this helps :)

Answer:

96π mm^3

Step-by-step explanation:

πr^2*h = formula

π4^2*6 = 16π(6) = 96π mm^3

Answer:

[tex]\Longrightarrow: \boxed{\sf{96\pi }}[/tex]

Step-by-step explanation:

You must use the volume of this cylinder formula to solve the volume of this cylinder.

Volume of this cylinder formula:

[tex]\Longrightarrow: \sf{\pi r^2*h}[/tex]

[tex]\Longrightarrow\sf{\pi 4^2*6}[/tex]

Use the order of operations.

PEMDAS stands for:

First, solve exponents.

4²=4*4=16

16*6

Multiply.

16*6=96

[tex]\Longrightarrow: \boxed{\sf{96\pi}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

77 - 8pi cm

Step-by-step explanation:

Area of Circle = 2pi*r^2 = 8pi cm

Area of rectangle = 7 X 11 = 77cm

Area of shaded region = 77cm - 8pi cm

Answer:

89.6^2 - hope this helped :)

Step-by-step explanation:

area of rectangle = 7 x 11 = 77 cm^2

area of circle = 2 x 2 x 3.14 = 12.56^ 2

all together = 89.56

rounded up = 89.6 cm^2

Answer:

x = 38

Step-by-step explanation:

We can set both angles equal to 180° since they are same side interior angles;

(2x - 10)° + 3x° = 180°

5x - 10° = 180°

5x = 190°

x = 38

Hope this helps!

Answer:

Actually, I am not sure about the Ans of 6 no.

please mark me brilliant

Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

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Answerit is false

Step-by-step explanation: smart

Answer:

c

Step-by-step explanation:

Answer:

okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class

Answer:

I need a problem

Step-by-step explanation:

Please fix your question

Answer:

If the first proportion is 3 to 5

We can add a second proportion can be found by ✖ both number by any other numbers

Like multiply. By 2.we get

[tex]6 \: to \: 15[/tex]

Answer:

I think it's b

Step-by-step explanation:

its at -25 and the arrow is going the way the > points

Answer:

22.5

Step-by-step explanation:

Radius = Circumference / (2*PI 3.14) = 22.5

Answer:

C. [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

\$190 includes flat \$25 of editing charges.

->Charges of work on book project

= $190 - $25 = $165

Per hour charges = $30 (given)

No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]

Answer:

0.952

Step-by-step explanation:

Given :

Solving :

Answer:

4th option

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )

Answer:

32.370705543744904

Step-by-step explanation:

I assume you mean β in place of 8.

Remember that tangent is defined as

tan(β) = sin(β) / cos(β)

so that

cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]

Answer:

circle represented by the equation below.

(x - 5)2 + (y + 13)2 = 400

Center:

Radius:

Refer to attachment for your answer

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

An equation is an expression that shows the relationship between two or more variables and numbers.

The per capita growth rate is given as:

per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%

In one year, population = 200 + (0.05 * 200) = 210

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

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Answer:

C. -3 is less than -5

Step-by-step explanation:

The two sides are equal and for that reason DE = CE as shown below :

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

Now we all know that a rectangle has four edges which are A, B, C, D.

when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )

From the question we know that DF = GC

E is the intersection of A(F) and BG

we can now Prove that DE = CE.

since D and C are point included in E and since this is a rectangle

AD = BC, DF = GC

E = A(F) and E = BG,  therefore A(F) = BF

DE = CE

We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE

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