Sam is proving the product property of logarithms. Step justification given substitution which expression and justification completes the third step of her proof? ; power rule of exponents subtraction property of exponents multiplication rule of exponents division property of exponents.

9514 1404 393

Answer:

  y = 1/6x

Step-by-step explanation:

The constant of proportionality is the ratio of y to x:

  k = y/x

Using the point you have circled, it is ...

  k = 2/12 = 1/6

Then the equation y = kx can be written:

  y = 1/6x

Given:

The decimal number is 15.265.

To find:

The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.

Solution:

Let the decimal number be [tex]x=15.265[/tex].

It can be rewritten as

[tex]x=15.265\times \dfrac{1000}{1000}[/tex]

[tex]x=\dfrac{15265}{1000}[/tex]

[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]

Cancel out the common factors.

[tex]x=\dfrac{3053}{200}[/tex]

Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.

Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].

9514 1404 393

Answer:

  68°

Step-by-step explanation:

Alternate interior angles are congruent, so we have ...

  123° = d° +55°

  d = 123 -55 = 68

Angle D measures 68°.

_____

For those of you inclined to use this answer for other questions, here are the other angles in this figure.

  A = 55° . . . . alternate interior with 55°, so congruent

  B = C = 180° -123°

  B = C = 57°

Answer:

224

Step-by-step explanation:

polynomial degree:224

leading term:7x^223

leading coefficient:7

Answer:

x = 32

Step-by-step explanation:

4 • (x/4) = 8 • 4

x = 32

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]

[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]

[tex]\qquad\sf\dashrightarrow x=32 [/tex]

Answer:

37,700

Step-by-step explanation:

I believe that you do 50,000 - 12,300. That would get you to your final answer of 37,700. So Miguel has to give 37,700 back to Daniel.

Hope this helped you!

Answer:

Miguel devuelve a Daniel $ 37.70

Step-by-step explanation:

50 - 12.3 = 37.7

Answer:

136

Step-by-step explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

Clearly these three terms are making an arithmetic sequence, with :

[tex] \\ [/tex]

Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]

[tex] \\ [/tex]

Now, we know that :

[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]

[tex] \tt : \implies a_{37} = a + 36d[/tex]

[tex] \\ [/tex]

Now, by substituting values of a and d :

[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]

[tex] \tt : \implies a_{37} = 460 - 324[/tex]

[tex] \tt : \implies a_{37} = 136[/tex]

[tex] \\ [/tex]

Hence, value of 37th term of given sequence is 136.

Answer:

Step-by-step explanation:

The intersection occurs at the point (3,-3) so those are the coordinates.

Answer:

Your answer is

A & E

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Answer:

the slope is m= 2

Answer:

2

Step-by-step explanation:

Slope is (y1 - y2) / (x1 - x2) for any 2 respective x's and y's.

For any of the points here, you get 2.

Answer: a: 23.4

Step-by-step explanation:

Answer:

A.23.4

Step-by-step explanation:

first find the volume of the tank 18x12x25=5400 then find how many gallons of water tank can hold 5400/231=23.4

hope this helps have a blessed day :)

Step-by-step explanation:

first of all we have to change kg into ton= 48500kg into ton =53.462ton(48500/907.168)

after that we add all the weight of 4 container = 28+45+16.8+53.462

total will be his total mass of tones he had =143.262

Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

Answer:

25

Step-by-step explanation:

25-14=11

Answer:

25

Step-by-step explanation:

11=25-14

Since 11+14 is 25 then h in 11=h-14 must be 25

Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as [tex]3.0\times 10^3[/tex]

Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch

Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches

1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches

Answer:

giyi

Step-by-step explanation:

Answer:

n=18

Step-by-step explanation:

Answer:

You most likely got it wrong because you didn't plot all the points that are actually in the table, the domain and range are both right.

Answer:

A. 52 = 8n +4

C. 4 = 52 - 8n

Answer;

f (x) = 2x-4g (x) =x^2

Step-by-step explanation:

The solution is 9x² + 12x - 1

The composition function f ( g ( x ) ) is 9x² + 12x - 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

The value of f ( x ) = x² + 2x - 4

Let the second function be represented g ( x )

The value of g ( x ) = 3x + 1

Now , the composition function f ( g ( x ) ) is calculated by

Substitute the value of x as 3x + 1 , in f ( x ) , we get

f ( g ( x ) ) = f ( 3x + 1 )

f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4

On simplifying the equation , we get

f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4

f ( 3x + 1 ) = 9x² + 12x - 1

Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1

Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ2

Answer:

Volume = 339.12 m^3

Step-by-step explanation:

Volume = Pi(r^2)(height)

Volume = 3.14(3^2)(12)

Volume = 339.12 m^3

the figure go to the left

Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.

Answer:

2500-2750 = - 250

hence,he lost $250

Answer:

the answer is 6x+11

Step-by-step explanation:

1/4(12+16)+3x+7

1/4×4(3x+4)+3x+7

(3x+4)+3x+7

3x+4+3x+7

6x+11

Answer:

56000 milliliters

1 liter = 1000 milliliters

56(1000)=56000

Step-by-step explanation:

Answer:

y = mx + b

Step-by-step explanation:

Answer:

the answer should be (3,-2)