Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assume all variables are positive)
Answers
Answer:
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
Step-by-step explanation:
[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]
First rule I'm going to use is the quotient rule:
[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]
[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]
Secondly, I'm going to rewrite the radical.
[tex]\sqrt{x}=x^\frac{1}{2}[/tex]
[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]
Third, I'm going to use the product rule on the first term:
[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]
[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]
Fourth, I'm going to use power rule for both of the last two terms:
[tex]\log_b(m^r)=r\log_b(m)[/tex]
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
Related Questions
5x + 55= 2x+ 100
Please answer.
Answers
Answer:
x = 15
Step-by-step explanation:
Given
5x + 55 = 2x + 100 ( subtract 2x from, both sides )
3x + 55 = 100 ( subtract 55 from both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Subtract 2x from Both sides and subtract 55 from both sides so that’ll be 3x=45 divide both sides by 3 and get 15
At the end of 5 years, how much money would you have in total if you invested $600 and earned 4% simple interest?
A $620
B $624
C. $720
D. $740
Answers
Answer:
720
Step-by-step explanation:
Which table shows a constant rate of change
please answer!
Answers
Answer: Feet to yards, all other are inconsistent.
Step-by-step explanation:
1.Mario purchased 15 tickets to a football game for $13.50. How much would it cost to purchase 21 tickets? $ ____________
2.Student Council sells bottled water at the cheerleading competition as shown below. Determine of each statement is true or false.
Cases sold: 3 6
Time (min): 20 40
a) They sell 27 cases in 3 hours
b) They sell 12 cases in 1 hr 20 minutes
c) They sell 18 cases in 2 hours
d) They sell 24 cases in 2 hrs 40 minutes
e) They sell 36 cases in 3 hrs 20 minutes
Answers
Answer:
1. $18.90
2. Every statement is true EXCEPT e
Step-by-step explanation:
For number 1. We first need to find how much one ticket costs. To find this we divide profit by number of tickets sold. So,
13.50/15 = $0.90
So to find the cost of 21 tickets we times the cost per ticket by 21
21 x 0.90 = 18.9
So $18.90
2.
They sold 6 cases in 40 minutes.
6/40 = 0.15
They sell 0.15 cases per minute
For a we wanna see if they can sell 27 cases in 180 minutes so
0.15 x 180 = 27
So a is true
B)
0.15 x 80 = 12
So b is true
C)
0.15 x 120 = 18
C is true
D)
0.15 x 160 = 24
D is true
E)
0.15 x 200 = 30
E is false
3
What is the slope of the line y = 3x--?
4
Answers
so this equation is in y = mx + b form or slope intercept form
you can see that the slope is 3x since mx is slope
remember! m is always slope!
Please help will mark brainliest if correct
Answers
PLEASE HELP WITH #6 DUE SOON!!
Answers
Answer:
Answer:
I would say triangle VQB is congruent to the triangle TJE. Not entirely sure about the transformation, try reflecting it over y=x or y = -x,, translate it, and rotate it
(Can't look at it right now fully cause i have my own math hw to do lol)
For 8, FAKE is congruent to CMDI, (Transformations from FAKE to CMDI) then it's a reflection over the y axis, and reflect over the x axis.
#teamtrees #WAP (Water and Plant)
Ties are on sale for a buy one get one 30% off deal. You pick out two ties that cost $24.95 each. What will the total cost be for the two ties?
Answers
Answer:
42.415
Step-by-step explanation:
if its buy one get one then 24.95 plus one more with a 30 percent off so 30percent off of 24.95 is 17.465 plus 24.95 is 42.415
Distance = 30 m, Time = 6 minutes, Speed = ?
Helpppp
Answers
Answer:
its 5 m/minute
Step-by-step explanation:
you have to use the units that are given in the equation
pls mark brainliest if you geel like it...
Answer:
5 minutes
Step-by-step explanation:
6 min x 5 min = 30
i just multiply
9 men working in a factory produce a. certain number of pans in 6 working days. how long will it take 12 men to produce the same number of pans if they work at the same rate?
Answers
Answer:
It would take 12 men 4.5 (four and a half) days to do the same amount of work as the 9 men in 6 days.
Step-by-step explanation:
9 is 75% of 12 (12*.75=9) if they work at the same rate it would take 75% of the time it did for the 9 men (6hrs*.75=4.5)
Amelia needs to buy some cat food. At the nearest store, 5 bags of cat food cost $26.25. How
much would Amelia spend on 6 bags of cat food
Answers
Answer:
$5.25
Step-by-step explanation:
Divide 26.25 by 5 and there's your answer.
Task: You and your friend were taking turns rolling a die when you thought of a game: If a one is rolled by either player, you pay your friend 50 cents, but when a different number is rolled, your friend pays you 10 cents. After 30 rolls, it turned out that you were even, and neither of you won anything.
Answers
Answer:
u both got rickrolled
Step-by-step explanation:
\_( XD)_/
Answer:
6 times
Step-by-step explanation:
'one' 50 cents, other 10 cents
If you get 50 cents you have to roll other number 5 times to minus 50 cents (50 divided by 10 is 5)
because they got nothing after roll so if they get a cents they have to minus it rolling other number
So if you divide 30 (the number of rolling) by 5 (the number of times to minus 50 cents) so the answer will be 6
Sorry this was too confusing
Which two changes are caused by shear acting on Earth's crust?
Answers
Answer:
Two slabs of rock slide past one another
one slab of rock breaks into two peices
Step-by-step explanation:
The two changes caused by the shear on the earth crust are; A: One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;
How to describe the shear acting on Earth's Crust?
Shear stress usually occurs when two plates rub against each other as they move in opposite directions.
Now, when shear stress occurs on the earth's crust, the force generated by the stress tends to push some of the crust in different directions. This would mean that a large part of the crust can break off, which makes the plate size smaller.
Thus, when a shear stress acts on the earths' crust, One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;
Read more about Earth Crust at; https://brainly.com/question/1155484
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Find the distance between points (3,-5) and (-2, -1) on the co-ordinate plane. Write the answer to the hundredth.
Answers
Sqr (-2-3)^2 + (-1+5)^2
Sqr (-1)^2 + (4)^2
Sqr 1 + 16
Sqr 17 = 4.12
The distance is 4.12
(Check my work)
PLS HELP I WILL GIVE U BRAILIEST I need help
Copy and convert into numbers.
1.) 2.75 x 10-2 =
2.) 39,000,000,000 =
3.) .000002 =
4.) 7.368 x 104 =
Answers
Answer:
1)0.0275
2)3.9×10^10
3)2×10^-6
4)did u mean 10^4?
if so then it would be 73,680
explanation
1)2.75×10^-2
2.75×.01=0.0275
2)39,000,000,000.00
in scientific notations the first number has to be lower than 10 and higher than 1>
3.9 works so i would take the dot/period and bring it between 3 and 9, the dot would travel 10 places therefore you raise the 10 to the 10th power
3.9×10^10
4) and since 10 is raised to the 4th power you would just move the dot 4 places right and you get
7.368>73,680
Please help . I need it ASAP!!
Answers
Step-by-step explanation:
the key is 5x-2
the area where x is bring the required variable in the question multiply by five wen and subtract two from it
The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases
the horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
Answers
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
The horizontal asymptote y = 11.95 reflects a cost each person reaching $11.95 because as number of individuals rises.
Horizontal asymptotic y = $11.95
Cost per person approaches = $11.95 per person increase
Answer:
B) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
Step-by-step explanation:
Edge 2020
please help pls and ty
Answers
** SOLVE FOR N**
4n / 4 = 311 / 4
also please make sure it isnt a decimal
Answers
Answer:
Actual answer would be 77.75 but you would answer as 78 I believe.
Step-by-step explanation:
Since they're over the same denominator this means that 4n= 311.
311/4=n
n=77.75
Or for you it would be 78 rounded up.
Or for a fraction it would be 77 1/4.
(Thanks for reminding me)
Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $875.00. On Saturday, the store will have a sale and discount the computer by 30%. How much will Lea pay (without tax) when she buys the computer with a 30% discount? Help please this is due in 15 min thank you!! with explanation
A) $262.50
B) $350.00
C) $612.50
D) $1,137.50
Answers
Answer:
C)$612.50
Step-by-step explanation:
Plss make me BRAINLIEST
If there is 30% discount, u will pay 70%(7/10) of actual price.
70% of $871
7/10 x 871 = $612.50
Answer:
$612.50
Step-by-step explanation:
875 x 30% = 262.50
875- 262.50= $612.50
Jane has 1 quarter,3 dimes, and 4 nickles what percent of a dollar dose jane have?
Answers
Answer:
75%
Step-by-step explanation:
Step-by-step explanation:
quarter = 25¢
dime = 10¢
nickel = 5¢
1 quarter (25¢) + 3 dimes (3 x 10¢, which is 30¢) + 4 nickels (4 x 5¢, which is 20¢)
25 + 30 + 20
25 + 50
75¢
1 dollar is 100¢
75/100 = 75%
The default horizontal alignment in Word is
A.centerd
B.justified
C.left aligned
d.right alined
KEABORDING SUBJECT
Answers
Answer:
i believe it is left aligned
Step-by-step explanation:
i hope it is correct if there is any wrong i will be glad to say for me :)
solve the system of equations.
Answers
2x+3y = 7
2x-y = -5
Subtract those equations
4y = 12
Y = 3
Now plug in 3 for any y value
2x - 3 = -5
2x = -2
X = -1, y = 3
Answer:
y=3, x=-1
Step-by-step explanation:
(2x+3y)-(2x-y)=7-(-5)
4y=12
y=3
2x+3y=7
2x=7-9
x=-1
PLS GIVE BRAINLIEST
Given that AD is the perpendicular bisector of BC, AB=21.3, AC=21.3, and DC=9.1, identify BC.
a) BC = 42.6
b) BC = 18.2
c) BC = 9.1
d) BC = 4.55
sorry i can't upload a picture of the triangle but this is from an luoa assignment. i know it's not C
Answers
answer. B hope this helps
The length of BC is 18.2 units.
The correct answer is option b) BC = 18.2.
Since AD is the perpendicular bisector of BC, it divides BC into two equal segments. Let's call the point of intersection between AD and BC as M. Therefore, BM = MC.
According to the given information,
AB = AC = 21.3. Since AD is the perpendicular bisector of BC, it implies that AM is equal to MC.
Therefore, AM = MC = BC/2.
We are also given that DC = 9.1. Since MC = DC, we can conclude that BC/2 = 9.1.
To find BC, we can multiply both sides of the equation by 2:
BC = 2 x 9.1
BC = 18.2.
Learn more about perpendicular bisectors here;
https://brainly.com/question/29132624
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Last month, a store sold 110 video games. This month, the store sold 77 video games. Find the percent decrease. Round the nearest percent
A 33%
B 70%
C 30%
D 43%
Answers
Answer:
c. 30%
Step-by-step explanation:
Jessica skated 4 laps in 32 seconds. Which of the following is an equivalent rate of skating?
А 6 laps in 120 seconds
B 10 laps in 205 seconds
C 6 laps in 130 seconds
D 10 laps in 215 seconds
Answers
Answer:
A
Step-by-step explanation:
Which point is located at (-1,11/4)
Answers
Answer:
The answer to your question is A
Please mark this answer as brainliest.
Conner and Jana are multiplying (3568)(39610).
Conner's Work Jana's Work
(3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680
Is either of them correct? Explain your reasoning. (5 points)
Answers
Go to pathway with an m instead of a p
how to find the value of x in a triangle (5x-11)°, (2x+20)°, (11x-63)°
Answers
Answer:
x=13
Step-by-step explanation:
Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.
So, (5x-11) x (2x+20) x (11x-63) = 180.
Now, take away the parenthesis and add up all the like terms.
This should = 18x-54 = 180.
Now solve like you regularly would. Add 54 on both sides which equals,
18x=234. Now, divide 18 on both sides.
x = 13.
Hope this helps.
x=13
Explanation:
All the angles in a triangle add up to 180 degrees, and this is true for every and any triangle. Knowing this, we can set up this equation and solve:
(5x-11)+(2x+20)+(11x-63)=180
1) Open up parentheses
5x-11+2x+20+11x-63=180
2) Combine like terms
5x+2x+11x-11+20-63=180
18x-54=180
3) Add both sides by 54
18x-54+54=180+54
18x=234
4) Divide both sides by 18
18x/18=234/18
x=13
I hope this helps!
A man pays Rs.1440 for income tax at the rate of Rs.2 per Rs.100. Find his income
Answers
Answer:
so 2 rupees tax for every 100rupees
we need to find how many 100's in 1440 and multiply with 2 so first divide 1440by 100 you will get 14.4 and multiply with 2 so the income tax is 28.8 you need to pay total 172.8.
Hope you understand if you understand give me a like