Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
Answers
Answer:
1/5log2(x)+4/5log2(y)-4/5
Step-by-step explanation:
=log2{(xy^4/16)}^1/5
=1/5×log2(xy^4/16)
=1/5×{log2(xy^4)-log2(16)}
=1/5×{log2(x)+log2(y^4)-log2(2^4)}
=1/5×{log2(x)+log2(y^4)-4)} ( as loga(a^x)=x)
=1/5×log2(x)+1/5log2(y^4)-4×1/5 (distribute 1/5 through the parentheses)
=1/5×log2(x)+1/5×4log2(y)-4/5
=1/5log2(x)+4/5log2(y)-4/5
Related Questions
Please help me i need a good grade :>
How did the temperature change if:
At first it increased by 5% and the increased by 20%
**ACTUAL ANSWERS PLEASE**
Answers
Answer:
up 25%
Step-by-step explanation:
it went increased by 25% from the beginning point
9514 1404 393
Answer:
up 26%
Step-by-step explanation:
The first change multiplied the temperature by 1+5% = 1.05.
The second change multiplied that result by 1+20% = 1.20.
Then the end result was multiplication by ...
1.05 × 1.20 = 1.26 = 1 + 26%
The temperature increased by 26%.
PLEASE HELP I HAVE 20 MINS TO TURN THIS IN AND I HAVE 3 QUESTIONS LEFT:
If Diego drives 60 miles per hour on the highway, how many miles can he go in 6 hours?
help :
Answers
Answer:
360 miles
Step-by-step explanation:
60:1
1x6=6
60x6=360
360 miles to 6 hours
360 miles
Best,
SunflowerJada
5980287458q36843872+7747617443402
Answers
Answer:
5304
Step-by-step explanation:
[tex]\blue{\boxed{\boxed{\bold{i'm \: Confused}}}} [/tex]
Find the slope of the line through the given pair of points. (-7, 16), (-18, 18)
Answers
Answer: -2/11
Step-by-step explanation:
Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13
Answers
Answer:
The value of x=9 and value of y= -7
Step-by-step explanation:
We need to solve the matrix equation for x and y
We are given:
[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
First multiply 2 with terms inside the matrix
[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
Now adding matrices on left side
[tex]\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
Now both sides are equal , so we can say that
[tex]-2x+10=-8 \ and \ 1+2y=-13[/tex]
Solving equations and finding values of x and y
Finding value of x
[tex]-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9[/tex]
Finding value of y
[tex]1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7[/tex]
So, value of x=9 and value of y= -7
Find the lcm of 3x-1/4=2
Answers
Answer:
x=3
Step-by-step explanation:
PLEASE HELP❗️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❕‼️❕❗️‼️Drag a description next to the matching model to complete this proof of the
Pythagorean theorem. Show that a square with area z? can be transformed into
two squares with areas x2 and y2.
Answers
Answer: are We able to join them
Step-by-step explanation:
Answer:
First box is The square is made up of 4 congruent right triangles and one small square.
Second box is Moving two of the triangles changes the figure's shape, but not it's area.
express 1 82 as a product of it prime factor
Answers
Answer:
3
Step-by-step explanation:
There is a question up
Plz need help
Answers
1. Which is the slope of the line that passes through points (1,1) and (2,7)
1a. Pick a point the line passes through above with the slope you calculated, find the y-intercept
1b. Now that you know the slope and y-intercept, what is the equation of the line ?
Answers
Answer:
y=6x-5
Step-by-step explanation:
1) Use slope formula to find the slope. Slope is 6
1a) Substitute (1,1) in the equation. -5
1b) y=6x-5
Hope this helps :-)
The cost of 12 widgets is $7.50. How much will it cost to buy 52 widgets?
Answers
Answer:
$32.50
Step-by-step explanation:
To answer this question, find the price per widget by dividing $7.50 by the number of widgets (12)
7.50 / 12 = 0.625
You may be tempted to round to 0.63 here, and maybe that is what your teacher wants, but typically you save rounding for the end of your calculations. So let's keep the price-per-widget at 0.625 and multiply it by the 52 widgets to find the total cost.
0.625 * 52 = 32.5 or $32.50
x = $7.50*52/12
x = $32.5
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
I'm sorry I have no clue I'm not that smart but I would just like to say that I like your profile picture
Although I replied late, nobody gave the answer.
The answer you are looking for is C). But how do you know it's correct? Do some calculation.
Child bike: 4 hours to build + 4 hours to test = 8 hours total
Adult bike: 6 hours to build + 4 hours to test = 10 hours total
5*4 = 20 build hours for child bikes
5*4 = 20 test hours for child bikes
15*6 = 90 build hours for adult bikes
15*4 = 60 test hours for adult bikes
20 + 20 = 40 total hours for child bikes
90 + 60 = 150 total hours for adult bikes
20 + 60 = 80 total test hours
20 + 90 = 110 build hours
Since this amount is below the maximum, the bike order DOES meet the restrictions.
Our equations should be 4c + 6a ≤ 120 for the total building hours, and 4c + 4a ≤ 100 for the total testing hours.
In conclusion, the answer is C) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
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Answers
Answer:i can't see it post a better one
Step-by-step explanation:
what is the value of pie ? (write in fraction and numerical value also)
Answers
Answer:
Pi is approximately 3.14 in decimal form and [tex]\frac{22}{7}[/tex] in fraction form.
Need help asappppppp
Answers
Answer:
your answer is 20
Step-by-step explanation:
20/tan 45 wich
Consider the following vectors in component form
a = LeftAngleBracket 2, 10 RightAngleBracket. B = LeftAngleBracket negative 5, negative 12 RightAngleBracket. C = a minus b.
NEED HELP ASAP
What is the magnitude and direction angle of vector c?
|c| = 5, θ = 36.9°
|c| = 5, θ = 53.1°
|c| = 25, θ = 16.3°
|c| = 25, θ = 73.7°
Answers
Answer:
D
Step-by-step explanation:
The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.
Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b
We need to find what is the magnitude and direction angle of vector c.
What is the magnitude and direction angle?Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=[tex]tan^{-1}[/tex](ba).
Now, vector c=⟨7,24⟩|c|=[tex]\sqrt{7^{2} +24^{2} }[/tex]=25angle =tan(θ)=(168)⇒θ=[tex]tan^{-1}[/tex](168)= 73.7°.
Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.
To learn more about the vectors visit: https://brainly.com/question/13322477.
#SPJ2
here the pic of it so can u hel pme
Answers
Answer:
a
Step-by-step explanation:
14x+42=35
14×=35-42
14× = -7
×= -7/14
×= -1/2
Answer:
A
Step-by-step explanation:
Given f(x) = 14x + 42 and f(x) = 35, then equate right sides, that is
14x + 42 = 35 ( subtract 42 from both sides )
14x = - 7 ( divide both sides by 14 )
x = - [tex]\frac{7}{14}[/tex] = - [tex]\frac{1}{2}[/tex] → A
Circle two addends first. Write the sum.
3+3+4=
Answers
Find two fractions equivalent to each fraction.
3 over 9
20 over 22
Answers
Answer:
1/3 and 10/11, or 9/27 and 40/44
Step-by-step explanation:
Simplified 3/9 by 3.
Simplified 20/22 by 2.
Answer:
For 3 over 9 = 1/3, 6/18, 9/27 For 20 over 22 = 10/11, 40/44, 60/66
Step-by-step explanation:
You can simplify the fraction or multiply by the same amount of number to numerator and denominator.
Pedro had $235 in his saving account when Jim had $450 in his account. Look at the situation in the image. Which inequality shows when the amount of money in Pedro’s account is greater than the amount of money in Jim’s account?
Answers
Answer:
$450>$235
Step-by-step explanation:
This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235
please help me out with this
Answers
Answer:
its easy...are u in 5th
Step-by-step explanation:
3/4 divided by 12 as a fraction
Answers
Answer: the answer is 3/48
We can write "3/4 divided by 12" as a fraction as 1/15.
What is division?Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. Division helps to split a given number into equal parts.
Given is to find -
"3/4 divided by 12" as a fraction.
We can write - "3/4 divided by 12" as a fraction -
{x} = 3/4 ÷ 12
{x} = 3/4 x 1/12
{x} = 3/48
{x} = 1/15
Therefore, we can write "3/4 divided by 12" as a fraction as 1/15.
To solve more questions on division, visit the link below -
https://brainly.com/question/15381501
#SPJ5
REALLY NEED HELP/ASAP
GRADES ARE CLOSING AND I NEED TO FINISH THIS BEFORE 5!!!!!
Answers
Answer:
I think it's z= 110/3
Step-by-step explanation:
Answer:
z = 36.68
Step-by-step explanation:
What is 0.0078732 rounded down to the whole number?
Answers
Answer:
0
Step-by-step explanation:
Find TE. I really need help!
Answers
Answer: 12
Step-by-step explanation: So VE and TE are equivalent because diagonals bisect. So you can set up an equation. 4+2x=4x-4. Simplify the equation, and you get 2x=8. X=4. So plug 4 into the equation. TE is equal to 12.
At what input value will the function
f(x) = -x - 2 + 2 begin to have real
outputs?
x = [?]
Answers
Answer:
All real numbers.
Step-by-step explanation:
f(x) = -x - 2 + 2
~Combine like terms
f(x) = -x
This function does not have any constraints so x can be equal too any real number.
Best of Luck!
Answer: -2
Step-by-step explanation:
add two to both sides
X-2<0
-X<2
Times -1 to both side
X<-2
Flip the sign When you have a negative.
Please help me with this problem!
Answers
Answer: The answer is b
Step-by-step explanation:
The table below represents an exponential function. By what factor does each term grow by?
x y
1 2
2 8
3 32
A.6
B.8
C.4
D.2
Answers
Write an algebraic expression that could be used to find the amount of money in the envelope at the end of “n” weeks.
Answers
Answer:
Like N=ky?
Step-by-step explanation:
i make 2 dollars every 8 minutes how many dollars will i make in a hour
Answers
Answer:
$15 in 1 hour
Step-by-step explanation:
1 hour = 60 mins
60 mins divided by 8 = 7.5
7.5 x 2 = 15
Answer:
$15 dollars an hour
Step-by-step explanation:
There are 60 minutes an hour
So you will need to divide 60 by 8
60/8= 7.5
7.5*2=15
$15 dollars an hour