The required simplified value of the given expression is x = 1/3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3
Thus, the required simplified value of the given expression is x = 1/3.
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Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)−1 ?
A.The graph ofg(x)is the graph of f(x) translated 1 unit right.
B.The graph of g(x)is the graph of f(x) translated 1 unit left.
C.The graph ofg(x)is the graph of f(x) translated 1 unit down.
D.The graph ofg(x)is the graph of f(x) translated 1 unit up.
Answer:
Your answer is going to be c The graph ofg(x)is the graph of f(x) translated 1 unit down.
Step-by-step explanation:
I just took the k12 4.08 quiz
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
We need to find the relationship between the graph of f(x) and the graph of g(x)=f(x)−1.
What is the translation?A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.
Translation Rules:
When the shape is moved towards the left by k units, then replace x with x - k.When the shape is moved towards the right by k units, then replace x with x + k.When the shape is moved up by k units, then replace y with y + k.When the shape is moved down by k units, then replace y with y - k.From the translation rule, g(x)=f(x)−1 is f(x) translated 1 unit down.
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
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Evaluate 6(8-3)
A 45
B 30
C 56
D11
[tex]\huge\red{ƢƲЄƧƬƖƠƝ}[/tex]
Evaluate 6(8-3)
A 45
B 30
C 56
D11
[tex]\huge\green{ƛƝƧƜЄƦ}[/tex]
B.30
Follow Me❤The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation.
2(x+y)=60
2x+2y=60
x+2y=60
2x+y=60
x+y=60
Answer:must be taking a test in algebra
Step-by-step explanation: me to and i stuck or i just don't wanna do it
Answer:
A and B are the correct answers
Use the function g(x)=5x−2 to complete the table.
Answer:
g = 5x-2/ x
Step-by-step explanation:
I need help 1.09 divided by 3.08 show your solution Thank you so much if u helpt me
Answer:
answer will be 0.3538Step-by-step explanation:
[tex] \frac{1.09}{3.08} = 0.3538[/tex]
4 - x + [tex]6^{2}[/tex] [tex]\geq[/tex] 21
Answer:
x ≤ 19
Step-by-step explanation:
The instructions here are probably "solve for x." Please include them.
4 - x + 6^2 ≥ 21
becomes 4 - x + 36 ≥ 21
Now combine like terms. 4 and 36 combine to 40: 40 - x ≥ 21, and so:
19 - x ≥ 0
Adding x to both sies results in
x ≤ 19
Please, include the instructions when you post a question. Thanks.
12x+2=146 what does X equal
Answer:
x = 12
Step-by-step explanation:
12x = 146 - 2
x = 144 ÷ 12
x = 12
Jack drove 325 miles in 5 hours
Jack will drive 520 more miles at the same rate. How long will it take jack to drive the 520 miles?
Answer:
10 hours
Step-by-step explanation:
Find the angles A & B
a = 180 - 79
a = 101
b = 180 - 101
b = 79
c = 83
d = 180 - 83
d = 97
Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Which graph has a slope that best represents the average cost of the lunches in dollars per lunch?
Answer: first chart or what ever ur say
Step-by-step explanation:
30% of 370 is equal to what number?
Answer:
Step-by-step explanation:
Percentage of 30% of 370 = ?
30% of 370 is equivalent to multiplying them: 30% × 370.
= 30/100 x 370
= 111
2. What are the angle measures of the triangle?
The length of south side of the park is what percent of the length of the north side?
F. 112%
G. 124%
H. 142 6/7%
J. 175%
K. 250%
*Plz also explain how.
The length of the south side of the park is 142⁶/₇% of the length of the north side. The correct option is H.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the length of the south side of the garden is 40 inches and the length of the north side of the garden is 28 inches.
The percentage of the length of the south side of the park to the length of the north side will be calculated as:-
Percentage = 40 / 28
Percentage = 142⁶/₇%
Therefore, the length of the south side of the park is 142⁶/₇% of the length of the north side. The correct option is H.
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How much will they make if they sell 10,000 tickets
Answer:
Wait wut
Step-by-step explanation:
Derek is watching a thunderstorm. He hears the thunder 4.7 s after seeing a flash of lightning. How far away was the lightning?
Answer:
1.0014 Miles
Step-by-step explanation:
The light travels at 186,291 miles per second (~300,000 km/s), and speed of sound in dry air is equal to 0.21 - 0.22 miles per second (0.33-0.35 km/s), as it varies with the temperature. We can notice the lightning almost immediately even though the storm is far from us, but the thunder needs around 5 seconds to travel one mile and approximately 3 seconds to travel one kilometer. Thanks to this seven orders of magnitude difference in sound and light propagation, we can easily estimate the storm distance
Answer:
This explanation is not good, can you please break it down so we can see how you guys got this answer?
Step-by-step explanation:
Write a ratio for the model that compares the symbols ☺ to ☼. Simplify if possible.
☺☺☺☺☺ ☺☺☺☺☺ ☺☺☺☺☺
☼☼☼☼☼
Answer:
3:1
Step-by-step explanation:
There are 15 smiley faces & 5 stars so you just have to simplify them.
Urgent please!!!!!!!!!!!!!!!!!!!!!!
A program can only create one object of each class.
A. True
B. False
Answer:
False.
Step-by-step explanation:
Answer:
False / It DependsStep-by-step explanation:
The simplest way to create a class with one one instance is to use an enum. public enum Singleton { INSTANCE } You can compare this with Steve Taylor's answer to see how much simple it is than alternatives. BTW: I would only suggest you use stateless singletons. If you want stateful singletons you are better off using dependency injection. ( You can create more than one tho )
But, the singleton class means you can create only one object for the given class. You can create a singleton class by making its constructor as private, so that you can restrict the creation of the object. Provide a static method to get instance of the object, wherein you can handle the object creation inside the class only.
Hope this helps! <3
What is the correct equation in vertex form for x^2+4x-12=0
Answer:
[tex]\boxed{(x+2)^2-16=0}[/tex]
Step-by-step explanation:
[tex]{}\quad x^2\,+\,4x\ -\ 12=0\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}-2^2-12=0\\\\{}\qquad(x+2)^2\ \ -4-12=0\\\\{}\qquad(x+2)^2-16=0[/tex]
a proportion compares two what
Answer:
it compares rates to cats
Answer:
A proportion compares two numbers by division
(by the way can you also help me with one of my questions part 2 would be nice on my profile it shouldbe the first one :) )\
Step-by-step explanation:
raeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb
Answer:
yes
Step-by-step explanation: k
Answer:
r+a+e+f^31+b
Step-by-step explanation:
Self-explanatory
Is the cost of purchasing apples for $1.75 per pound a proportional relationship? Math
Answer:
yes
Step-by-step explanation:
yes because it is the same price per each pound.
Answer:
yes it is
Step-by-step explanation:
Is this a function (0,3) (1,4) (2,4) (2,4) (5,6)
Answer:
no bc you have two of the same x's
Step-by-step explanation:
Karrisa is going water skiing. She has a choice on either renting or purchasing the skis. She must also rent a safety jacket. She can purchase skis for $125 a pair. The rental fee for skis and a safety jacket is $30 per hour. The rental fee for only the safety jacket is $5 per hour. How many hours must she ski for the price of renting skis and purchasing the skis to be the same?
Answer:
5 hours
Step-by-step explanation:
The rental option for h hours costs ...
r = 30h
The purchase option for h hours costs ...
p = 125 +5h
These costs are the same when ...
r = p
30h = 125 +5h
25h = 125 . . . . . subtract 5h
h = 5 . . . . . . . . . divide by 25
Karrisa must ski for 5 hours for the prices to be the same.
what is x + 2y = 6? help please
!
Answer:
There are infinitely many solutions to this problem.
Step-by-step explanation:
Since we have two variables in the problem, we cannot solve for either of them unless we are given another equation with those two same variables. Therefore, there are infinitely many solutions.
There are 18 roses and 48 tulips.
a.If you need to make bouquets that are all identical, what
is the greatest number of bouquets that can be made?
b.How many roses will be in each bouquet?
c.How many tulips will be in each bouquet?
Answer:
here's what I got
Step-by-step explanation:
3 roses and 8 tulips
Find the slope of the line
Zoe needs to rent a car. Kara's Kar Kompany charges $22 per day and a $100 cleaning fee. Callie's Car Company charges $26 per day and has a $40 cleaning fee. After how many days would the rental cost be the same for both car rental companies?
A) 18 Days
B) 13 Days
C) 15 Days
D) 8 Days
Answer:
C) Fifteen days
Answer:
C) 15 days
Step-by-step explanation:
To answer this question, we must make an equation, so lets use the variable 'd' equal the number of days a car is being used for:
22d + 100 = 26d + 40
Now, we combine like terms:
22d + 100 = 26d + 40
-22d -22d
100 = 4d + 40
-40 -40
60 = 4d
/4 /4
d = 15
So, the rental cost will be the same for both car companies after 15 days
Hope this helps :)
the question is in the photo
Answer: The answer would be x3 each number in y column.
Explain: When you multiply 3 by the x column, it'll show 3 times more in the y column.
2 × 3 = 6
5 × 3 = 15
And so on.
Therefore, your answer is it multiples 3 times each number.
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Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third
Answer:
6, 8 , 10
Step-by-step explanation:
smallest = x
medium = x+2
largest = x+4
The smallest integer and twice the second is 12 more than the third:
x + 2(x+2) = 12+ (x+4)
x + 2x + 4 = x +16
3x + 4 = x + 16
2x = 12
x = 6
The number of people that can be safely carried in a lift depends on their mass. A lift will safely
carry 8 people with an average mass of 75 kg. How many people with an average mass of
100kg can safely travel in the lift?
Pls pls explain it with working (worry for exam) guys it’s maths not physics
Answer:
Step-by-step explanation:
If a lift will carry 8 people safely with an average mass of 75kg each we multiply to find the weight the lift can safely carry.
8 x 75kg = 600kg
If the average mass of the people is 100kg each, we divide to find the number of people it can carry. We know the lift can carry 600kg.
600kg/100kg = 6
So the lift can carry 6 people if their average mass is 100kg.