Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).
Given a logarithmic expression,
㏒ (1/3) / ㏒ (2)
This expression is the result of a logarithmic expression when undergoes change of base formula.
The change of base formula is as given below.
㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)
Using the same formula here,
We have the expression ㏒ (1/3) / ㏒ (2).
Here x = 1/3 and a = 2
So, the required expression is,
㏒ₐ (x) = ㏒₂ (1/3)
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HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!
Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
y=x−4
y=4x+2
Find x and y
Answer:
x = -2
y = -6
Step-by-step explanation:
x - 4 = 4x + 2
-4 = 3x + 2
-6 = 3x
x = -2
y = -2 - 4; y = -6
What is an equation of a line that passes through the point
(0,3) and is perpendicular to the line whose equation is
y = 2x - 1?
-
Answer: y = -(1/2)x + 3
Step-by-step explanation:
y = 2x - 1
This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the reference line. The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).
This yields the equation y = -(1/2)x + b
To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:
y = -(1/2)x + b
3 = -(1/2)(0) + b
b = 3
The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:
y = -(1/2)x + 3
Ayuda por favor, no entiendo
what is the range of a parabola that opens down with a vertex at (1,-3)
Answer:
-3 to -infinity
Step-by-step explanation:
what is 13 divided by 4732
Answer:
Step-by-step explanation:
the answer is 13
find the gfc of 22x , 33
Answer:
11
Step-by-step explanation:
22x = 2 · 11 · x
33 = 3 · 11
common factor to both is 11
504300 in standard form
what is the answer, i need help
Answer: C 1/2mL LMN= mL LMO
Step-by-step explanation: because 2/76 is 38 C is the right answer
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get
[tex]y = - \frac{2}{3} x + 4 \\ [/tex]
A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?
The average speed in feet per hour will be;
⇒ 942.85 feet per hour
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance = 22 inches
Time = 7 seconds
Now,
Since, A tortoise moves at a speed of 22 inches in 7 seconds.
Hence, Distance = 22/12 feet
And, Time = 7 / 3600
Thus, The average speed = (22/12) / (7/3600)
= 22 × 3600 / 12 × 7
= 942.85 feet per hour
Therefore, The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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please help!! i don’t know how to do this please help asap.
please help meeeeeeeeeeeeeeeeeeee
ty
Answer:
A
Step-by-step explanation:
hope this helped
Answer:
4y = -3x - 8
Step-by-step explanation:
0.25 divided by what eqauls -0.25
[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]
Answer:
well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer
Step-by-step explanation:
Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce
Answer: 12.71
Step-by-step explanation: 50.84 divided by 4 = 12.71
will mark brainleist
Answer:
x=5.834729, rounded down to 5.83
Which is the sum of two or more different monomials?
Answer: Polynomial
Step-by-step explanation:
What principal will amount to 20,790 in 2 years at the simple interest of 5% per annum?
Answer:
18900
Step-by-step explanation:
I Can't Believe There Still Work It's Christmas Break
Convert 6432 Decimal to Binary Number system ?
• Kindly don't spam !!
Answer:
6432)10 = (1100100100000)2
Step-by-step explanation:
Step 1: Divide (6432)10 successively by 2 until the quotient is 0:
6432/2 = 3216, remainder is 0
3216/2 = 1608, remainder is 0
1608/2 = 804, remainder is 0
804/2 = 402, remainder is 0
402/2 = 201, remainder is 0
201/2 = 100, remainder is 1
100/2 = 50, remainder is 0
50/2 = 25, remainder is 0
25/2 = 12, remainder is 1
12/2 = 6, remainder is 0
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).
Hopes that it will help u...☺
[tex]\huge \bf༆ Answer ༄[/tex]
The method to convert the number from Decimal to binary number system is simple ~
Divide the number continuously until it become 0 and write all the remainders from bottom to top.Now let's solve the given question ~
[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex][tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex][tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex][tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex][tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex][tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex][tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex][tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex][tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex] [tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex][tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex][tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex][tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]Now, write the numbers from bottom to top ~
[tex] \sf{1100100100000}[/tex]
I hope it helps ~
A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms
Answer: C. 6 therms
Step-by-step explanation:
6 + 1.25(6) = $13.50
9 + 0.75(6) = $13.50
Correct me if I am incorrect.
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals
HURRY!!!!
the value of function at n = 3 is f( 3 ) is - 10.
To find the value of f( 3 ), we can use the given recursive formula:
f(n) = f( n - 2 ) + f( n - 1 )
We already have the values of f(1) and f(2):
f(1) = - 6
f(2) = - 4
Now, let's apply the recursive formula to find f(3):
f(3) = f( 3 - 2 ) + f( 3 - 1 )
f(3) = f(1) + f(2)
f(3) = - 6 + (- 4)
f(3) = - 10
So, the value of f(3) is - 10.
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In a school election, 3/4 of the students vote. There are 1484 votes. Find the number of students.
There are a total of
students.
Answer: 1979 students.
Step-by-step explanation:
We are told that 3/4 (75% or 0.75) of total students voted, which amounted to 1484 votes.
Letting X be the total number of students, we can write that as:
(0.75)X = 1484
X = 1978.67 total students
Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student. So round to the nearest whole number, 1979 students.
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
help me with this no links
Answer:
6 maybe I'm not sure jkeneekenene
Answer:
3x
Step-by-step explanation:
A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:
(3x-3)+(3x-3)=6x-6
And because we are given our perimiter, simply subtract the lengths we do know:
(12x+6)-(6x-6)=6x
This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:
6x/2=3x
Based on this, our length of the indicated side is 3x!
Hope this helped!
What is x? Show your work.
Answer: x=2
Step-by-step explanation: 28/4-5= 2
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
PT. 3 OF MY HW IT IS UNIT RATE
Answer: The rate of change decreased.
Step-by-step explanation:
Please Help Question in picture
Answer:
20
Step-by-step explanation:
Distance formula =
x={sq rt} of (x2-x1)^2 + (y2-y1)^2
{sq rt} (-7-5)^2+ (-7-9)^2 = {sq rt} (-12)^2 + (-16)^2 = {sq rt}
144+256= {sq rt} 400
{sq rt} 400 = 20
(I think its been a hot sec since I did distance formula stuff)
Answer:
20
Step-by-step explanation:
You can use the distance formula
sqrt(((5--7)^2)+((9--7)^2)) = 20
[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.
Answer:
x=1.5
Step-by-step explanation:
5=10(5x-7)0.5=5x-77.5=5xx=1.5