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zavuch27 [327]
3 years ago
14

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms o

r multiples of logarithms. (2 points)
log base two of quantity x to the sixth power times y to the seventh power divided by eight.


A) six times log base two of x plus seven times log base two of y minus log base two of eight.

B) six times log base two of x minus seven times log base two of y minus log base two of eight.

C) six times log base two of x times seven times log base two of y minus log base two of eight.

D) six times log base two of x plus seven times log base two of y plus log base two of eight.
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

C) six times log base two of x times seven times log base two of y minus log base two of eight.

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Tell whether the angles are adjacent or vertical. Then find the value of x.
Serga [27]

Answer:

Adjacent angles. x = 55

Step-by-step explanation:

Adjacent angles are angles that are right next to each other, sharing one side.

Since that is a right angle (90º):

X + 35 = 90

X + (35-35) = 90 - 35

X = 55

Hope this helps! Have a great day!

3 0
2 years ago
Read 2 more answers
What is 75 minutes to ten hours in ratio and simplest form
Arada [10]

Answer:

1:8

Step-by-step explanation:

75min/10hr

10*60=600

75/600

1/8


7 0
2 years ago
I don't get this pls help
dmitriy555 [2]

Answer:

  d, e

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

In this case, it means the product is ...

  (6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

__

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

__

Only the last two choices, d and e, apply.

3 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
B) ¿Cuál es la relación entre el diametro y el radio?<br>​
kow [346]

Answer:

La circunferencia es una línea curva, y su longitud depende del radio o del diámetro. La relación matemática entre el radio (o diámetro) y la circunferencia se da por la siguiente fórmula: C = 2πr = πD. Donde C es la circunferencia y π=3.14.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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