Incorrect answers will be reported, first correct answer will get brainiest.

Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.

We'll use the following log rules

================================================

Part 1

-------------

Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

================================================

Part 2

-------------

Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

================================================

Part 3

-------------

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

================================================

Part 4

-------------

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c

Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

Answer:

Step-by-step explanation:

Density = mass/volume = 20/6.47

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

the bag with 20 socks for $14.99

Answer:

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

To find the best deal, you have to find the unit rate

First bag:

Unit rate = 9.99 ÷ 12 = $ 0.8325

Second bag:

unit rate = 14.99 ÷ 20 = $ 0.7495

Third bag:

Unit rate = 19.99 ÷ 10 = $ 1.999

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

this is your answer........

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] M(2, 1) = (x_1, y_1) [/tex]

[tex] P(12, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 2 [/tex]

Plug in the necessary values to find the coordinates of K:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]

[tex] x = \frac{36 + 4}{5} [/tex]

[tex] x = \frac{40}{5} [/tex]

[tex] x = 8 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]

[tex] y = \frac{18 + 2}{5} [/tex]

[tex] y = \frac{20}{5} [/tex]

[tex] y = 4 [/tex]

The coordinates of K = (8, 4)

Answer:

-12960

Step-by-step explanation:

The formula for the sum of terms =

Sn = n/2[2a + (n - 1) d]

n = number of terms = 80

The given sequence =

1, -3, -7, -11, ...

a = First term = 1

d = common difference

= Second term - First term

= -3 - 1

= -4

Therefore, the sum of the first 80 terms:

S80 = 80/2[2 × 1 + (80 - 1)]-4

= 40[2 + 79]-4

= 40 × 81 × -4

= -12960

The sum of the first 80 terms = -12960

Answer:

Step-by-step explanation:

(8 - 0)/(0 + 8)= 8/8= 1

y - 0 = x + 8

y = x + 8

Answer:

13.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer: 112.5 hours

Step-by-step explanation:

Answer:

C is correct!

12,10,-8,-15

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

Answer:

0

Step-by-step explanation:

becuse  8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

Answer:

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out