Answer:
(2xy)³
Step-by-step explanation:
According to the Power Rule of Exponents:
[tex](ab})^{m} = a^{m}b^{m}[/tex]
We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.
8 is a perfect cube of 2: ⇒ 2 × 2 × 2 = 2³ = 8
The cube of x is x³: ⇒ x × x × x = x³
The cube of y is y³ ⇒ y × y × y = y³
Hence, we can take the least common factors, (2xy) and raise them to the third power:
(2xy)³ = 2³x³y³ = 8x³y³
Therefore, the correct answer is: (2xy)³
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
8=2^3x^3=(x)^3y^3=(y)^3We know the rule of exponents
[tex]\boxed{\sf (ab)^m=a^mb^m}[/tex]
Now
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
[tex]\\ \sf\longmapsto 2^3x^3y^3[/tex]
[tex]\\ \sf\longmapsto (2xy)^3[/tex]
[tex]\\ \sf\longmapsto (2xy)(2xy)(2xy)[/tex]
(No links)
Use the graph to determine the domain and range. Then state whether the relation is a function.
What is the domain of the function?
Answer:
[-2, 4]
Step-by-step explanation:
The domain of a function is the set of all x-values a relation could possibly take on to have an output. This is represented by in the graph by having the line correspond to the x-value. From the graph shown we can see that x-values from -2 to 4 have a line corresponding to them, and the dots are closed meaning it is inclusive. This would be written as: [-2, 4]
A car is traveling is at a speed of 99 km/h. what is the car speed in kilometers per minute how many kilometers for the car travel in 2 minutes do not round your answers.
Answer:
1.65 kilometers a minute and you would travel 3.3 kilometers in two minuets
Step-by-step explanation:
Im pretty sure that is the answer because 99/60 = 1.65 and 1.65 * 2 = 3.3
Has to do with slopes please help
1. y=2x+3
2. y=-3/5x-6
3. y=1/4x+8
4. y=-x-6
5. y=2x+1
6. y=-x+5
7. y=-5/6x+4
8. y=1/4x-1
i will figure out the rest!
Answer:
Step-by-step explanation:
Using the distributive property write an expression equivalent to -7(7-x)
Answer:
-49+7x
Step-by-step explanation:
-7*7=-49
-7*-x=7x
what is 4 whols and 4/5 divided by 4/5
Answer:
6
Step-by-step explanation:
24/5 / 4/5
24/5 / 5/4
24/4 is 6
5/5 is 1
hope this helps:)
6
ahh help !!
im bad at math ;-;
Answer:
To be honest I think it is D
Step-by-step explanation:
15 x (8 x 5) = (15 x 8) x 515 x blank = blank x 5blank = blank
Answer:
explain
Step-by-step explanation:
explain it better pls
I can run 5km in 30 minutes. How long would it take me to run 30km?
Answer:
3 hours
Step-by-step explanation:
5km = 30m
-------------------
5
1km = 6m
*30 *30
30km = 180 m
30k = 3 hours
Please help me with this question?
Answer:
x + 1/2
Step-by-step explanation:
1/2 x + 3/4 + 1/2 x - 1/4
= 1/2 x + 1/2 x + 3/4 - 1/4
= 2/2 x + 2/4
= x + 1/2
what is the answer to this math problem(-2.7)(-1.9)
Answer:
-5.13
Step-by-step explanation:
An item that originally cost $100 is decreased by 8%. The reduced price is then increased by 8%.
The resulting price is_
between $92 and $100
$92
$100
more than $100
Answer:
$99.36
Step-by-step explanation:
Hii!
So first, you need to find 8% of $100. You can do that by 100 x 0.08 which is $8. This means that the cost is reduced by $8 so 100 - 8 = $92
The reduced price is $92.
Then if we increase the reduced price by 8%, we will find the resulting price. Agani we find 8% of $92 which is 0.08 x 92 = 7.36. This means we have to increase the cost of $92 by this amount. $92 + 7.36 = $99.36
Hope this helps :)
Answer: 99.36
Step-by-step explanation:
because when you add 430 to 0 it makes 492/5 x 40 then x goes into m 4302 times there for its 99.36 USD.
The history museum charges a $20 fee plus S8 per student for a field trip. The aquarium charges a $50 fee plus $5 per student. The lines in the graph represent the cost of each field trip. For what number of students will the total cost of each field trip be the same, and what will that cost be? Field Trip Costs 120 110 100 90 80 70 y = 50 - 5x (s) jsou y = 20 + 8x 50 30 20 10 1 2 3 4 5 G 7 8 9 10 11 12 Number of students A. 110 students; $12 B. 12 students: $110 O c. 10 students; $100 *C O D. 100 students: $10
Answer:
C
Step-by-step explanation:
took test
Answer: C!
Step-by-step explanation: if you look at where the lines intersect, it lands on 10 students and 100 dollars.
What is the measure of angle 1?
Please help
Answer:
125
Step-by-step explanation:
1.) I'm trying to see if I got this answer right. If not, correct me.
Step-by-step explanation:
The constant of proportionality (or constant of variation), denoted by "k," represents the constant proportion or ratio that exists between two variables, y and x, such that y = kx.
The given problem asks for you to identify the constant of proportionality and what it represents in context of the problem.
In the equation, y = 4.75x:
y = total cost in dollars earned
x = number of bracelets
The constant of proportionality, k = 4.75, represents the increase in total cost earned for every x number of bracelets sold. In other words, the total increases by 4.75 for every bracelet sold.
Thus, since Liv made x = 2 bracelets, then her total cost will equal to $9.50 because:
y = 4.75x
y = 4.75(2)
y = 9.50
Enter an algebraic expression for the word expression. 15 decreased by n
15-n
15
decreased by is - (subtraction symbol)
n
HELP ME ASAPPOOPOOOO
Answer:
a
Step-by-step explanation:
helppppp....
..A teacher is buying T-shirts for her algebra class.
- Long-sleeve T-shirts (x) cost $16 each.
- Short-sleeve T-shirts (y) cost $10 each.
The teacher wants to buy at least 24 T-shirts, and she wants to spend no more than $300 in all. Which system of inequalities represents this situation?
Answer:
[tex]240\leq 10x+16y\leq 300[/tex]
Step-by-step explanation:
Let short-sleeve be x and long-sleeve be y
So, the least amount she could spend buying at least 24 shirts is $240 because the cheapest shirt is $10/shirt. The max amount is already given.
[tex]240\leq 10x+16y\leq 300[/tex]
To rent a moving truck for the day it cost $33 +1 dollar for each mile driven.
Answer:
A) y=x+33 or 33+m (m = miles)
B)$333
Step-by-step explanation:
A is, y = the total cost, x = miles driven , 33 = cost for the day you rent it
B is, $1x$300 = $300 + $33 (base cost) = $333
Write an expression for the cost to rent the truck.
33 + x = y
You rive the truck 300 miles. How much do you pay?
33: initial rent fee
300: miles
One mile equals one dollar so the answer would be.
33 + 300 = 333
Hope this helped!
solve for a
•A=125
•A=37
•A=55
Answer:
37 degrees
Step-by-step explanation:
Answer:
A=37
Step-by-step explanation:
Describe the Function
f(x) = 3x² + 2
Derek uses 8 gallons of gas to drive 160 miles on the highway. If he gets that same gas mileage, how many miles can he drive on 1 gallon of gas?
Answer:
20 miles
Step-by-step explanation:
160÷8=20
20 miles for 1 gallon
What is the cost to get into a Green Cab?
Answer:
$5
Step-by-step explanation:
The graph shows the green cab costs $5 even if you don't go anywhere (miles = 0).
The cost to get into a green cab is $5.
Answer:
15
Step-by-step explanation:
because it's the where the green lines cross the graph.
i need the equations for these tables
Step-by-step explanation:
Take a graph and plot your points.
For example in A, your first point is at (-2,0).
Draw a line thru the points and then figure out the slope and the y-int
Hope that helps
(b) Expand and simplify (2r + 5)(x-6)(3x + 3)
Answer: Answers below
Step-by-step explanation:
The step by step answer is below, enjoy.
isabel is buying 6 anglefish, and she wants her total cost to be no more than 2$ above or below 36$. what inequalty models the cost in Dollers of an angle fish
Answer:
c<2$
c>36$
Step-by-step explanation:
._.
What is 1,234.7(578)/345
it should be
2068.56985507
Answer:
2068.56985507
Step-by-step explanation:
1234.7 x 578 = 713656.6
713656.6/345 = 2068.56985507
Have a great day!
How can you multiply a letter
Answer:you can multiple a letter only by its self not other letters so you can do x times x which is 2x but you can’t do x times y.
Step-by-step explanation:
47 students go on a field trip.The students are divided into 6 groups of 6 students.How many groups of 6 students .
Answer:
7 groups of 6 students
Step-by-step explanation:
How many groups of 6 can fit inside 47 without going over 47?
47÷6= 7, remainder 5
You would have 7 groups of 6, and 5 people left over.
Select Correct or Incorrect for each equation.
Equation
−1−1=−1 Correct Incorrect
−1+1−1=−1 Correct Incorrect
Answer:
-1-1=-1 is incorrect.
-1+1-1=-1 is correct.
Step-by-step explanation:
Add them all up and if they do not equal what is on the other side of the equal sign, then it is incorrect. If it does add up to what is on the other side of the equal sign, then it is correct.
tom bought five candy bars and paid a total of $6.75 including tax. if each candy bar cost $1.25,how much tax did tom pay?
Answer: He paid 0.50 cents in tax.
Step-by-step explanation:
