c=2, f(x)= {3-x, x<2
2, x=2
x/2, x>2

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

Answer:

434.60

Step-by-step explanation:

Answer:

$1170

Step-by-step explanation:

you will have to multiply the the rate you earn hourly by 45hours then it will state the more you'll be making hourly $26×45=$1170

Answer:

Step-by-step explanation:

Sin² x - Cos² x  = (1 - Cos² x ) - Cos² x                {Sin² x + Cos² x = 1}

                          = 1 - 2Cos² x

                         = - (2Cos x -1)

                          [tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]

                          Hence proved

Answer:

It's Associative Property of Multiplication.

                                    Thank You

interval notation of x<2

x=1

Answer:

it ebtween 10 and negetive 4.5

Step-by-step explanation:

Answer:

A. 10

Brainliest, please!

Step-by-step explanation:

(1, 2)(x, 5) = 1/3

5 - 2 / x - 1 = 1/3

3 / x - 1 = 1/3

x - 1 = 3 / 1/3

x - 1 = 9

x = 9 + 1

x = 10

Answer:

1/3 = .3333333 forever

Step-by-step explanation:

It's a decimal that doesn't terminate.

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is [tex]a+34[/tex]

The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]

The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]

The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]

Learn more:

https://brainly.com/question/19245500

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Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

Answer:

[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]

Step-by-step explanation:

Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.

f(x)=5x^2-11x+18

[tex]\\ \sf\longmapsto f(2.4)[/tex]

[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]

[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]

[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]

[tex]\\ \sf\longmapsto 2.4+18[/tex]

[tex]\\ \sf\longmapsto 20.4[/tex]

And

[tex]\\ \sf\longmapsto f(-3)[/tex]

[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]

[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]

[tex]\\ \sf\longmapsto 45+51[/tex]

[tex]\\ \sf\longmapsto 96[/tex]

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The quadratic expression is given below.

⇒ 5x² - 11x + 18

The value of the expression at x = 2.4, then the value of the expression will be

⇒ 5(2.4)² - 11(2.4) + 18

⇒ 28.8 - 26.4 + 18

⇒ 20.4

The value of the expression at x = -3, then the value of the expression will be

⇒ 5(-3)² - 11(-3) + 18

⇒ 45 + 33 + 18

⇒ 96

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

Answer:

you have to substitute the value of the variables then solve

Answer:

Movements of tectonic plates create volcanoes along the plate boundaries, which erupt and form mountains. A volcanic arc system is a series of volcanoes that form near a subduction zone where the crust of a sinking oceanic plate melts and drags water down with the subducting crust.

Answer:

28

Step-by-step explanation:

AB + BC = AC

14 + 3x-4 = 4x+4

Combine like terms

10 +3x = 4x+4

Subtract 3x from each side

10+3x-3x = 4x+4-3x

10 = x+4

Subtract 4 from each side

10-4 =x-4+4

6 =x

We want AC

AC = 4x+4 = 4*6+4 = 24+4 = 28

Let's see

AC

4(6)+4=24+4=28

Answer:

Step-by-step explanation:

10 x 0.018

(On multiplying 10 decimal point will shift one side right)

= 0.18 (Ans)

Answer:

your answer is 0.18

I hope it's helps you

A. is the correct answer

Answer:

A

Step-by-step explanation:

(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.

Answer:

x= HJ+27/7

Step-by-step explanation:

HJ + 27 = 7x

HJ+27/7 = x

Answer: 174

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

Answer:

a. $2100 b. $945000

Step-by-step explanation:

You have to divide 525000 and 250 to solve for "a". To solve for "b" you need to find %100 of the profit and do %100 of the profit times 0.45 to see how much is %45 of profit.

Answer:

Step-by-step explanation:

94 degrees.

Answer:

m1 = 94°

m2 = 26°

m3 = 60°

m4 = 26°

m5 = 60°

m6 = 120°

m7 = 60°

m8 = 60°

m9 = 94°

m10 = 94°