Answers
After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].
In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:
[tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] Given. [tex](2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )[/tex] Commutative property/ Associative property. [tex]6\cdot \sqrt[3]{24}[/tex] Definition of cubic root/[tex]\sqrt[n]{a} = \sqrt[n]{b}[/tex]/ResultAfter demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].
To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591
Related Questions
A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 
Answers
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
Answer:
1/9 or 11.1%
Step-by-step explanation:
16 out of 18 are red
1/8 are red plastic
16/18 x 1/8 = 16/144 or 1/9
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answers
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answers
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answers
Answer:
Step-by-step explanation:
Question 1
Answer: (1, -0.5)----------------------
Explanation:
The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2
(-2+4)/2 = 2/2 = 1
The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.
We'll use this idea for the y coordinates as well. Add them up, then divide by 2.
Add: 4+(-5) = -1
Divide by two: -1/2 = -0.5
The y coordinate of the midpoint is -0.5
Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)
For more info, check out the midpoint formula.
====================================================
Question 2
Answer: (0, 0.5)----------------------
Explanation:
We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.
Add the x coordinates for each point: -5+5 = 0
Divide in half: 0/2 = 0
The x coordinate of the midpoint is 0
Repeat for the y coordinates.
Add: 5+(-4) = 1
Cut in half: 1/2 = 0.5
The y coordinate of the midpoint is 0.5
We get the midpoint (0, 0.5) which is where the two pets meet.
====================================================
Question 3
Answer: Approximately 1 yard----------------------
Explanation:
Apply the distance formula for the results of the previous two questions.
So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]
Simplify (4.5)(5)(−2). (1 point)
Answers
Answer:
(4.5)(5)(−2) = (-9) × 5
= -45
Answer:
-45
Step-by-step explanation:
[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]
What is the image of (−4,−7) after a reflection over the x-axis?
Answers
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answers
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo
Answers
The probability that an athlete that is getting into a fight has a tattoo is 0.80
Let the events be represented as:
Event A : get into a fightEvent B: has a tattooSo, the probabilities are given as:
[tex]P(A\ n\ B) = 40\%[/tex]
[tex]P(A) = 50\%[/tex]
The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)
So, we have:
[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]
Substitute known values
[tex]P(B | A) = \frac{40\%}{50\%}[/tex]
Cancel out the percentages
[tex]P(B | A) = \frac{40}{50}[/tex]
Divide 40 by 50
[tex]P(B | A) = 0.80[/tex]
Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80
Read more about probabilities at:
https://brainly.com/question/251701
What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.
Answers
Answer:
67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal
Hope this helped :)
Step-by-step explanation:
PLEASE HELP THESE ROBOTS ARE SPAMMING ME
What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors
Answers
Step-by-step explanation:
The answer is the Revolutionary War
Find the volume
of the rectangular prism.
3 m
7 m
4 m
Answers
Answer:
The volume is 63m³
Step-by-step explanation:
Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.
8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+
Answers
Answer:
a) -x2 , -(x2)
b)3x-7 , (3x) - 7
c) -2x+8 , -(2x-8)
Write the slope intercept equation of the line that passes through (2,5) and (-1,3)
Answers
Answer:
y=2/3x+11/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(-1-2)
m=-2/-3
m=2/3
y-y1=m(x-x1)
y-5=2/3(x-2)
y=2/3x-4/3+5
y=2/3x-4/3+15/3
y=2/3x+11/3
a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere
Answers
Answer:
24
the formula of sphere is
[tex]v = \frac{4}{3} {r}^{3} [/tex]
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]
We can cancel
We can cancel π from each side.
[tex]2304 = \frac{4}{3} {r}^{3} [/tex]
Multiply both sides by
[tex] \frac{3}{4} [/tex]
hope I help you ☺️❤️
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answers
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
I need help with this badly.
Answers
Can someone please help me I will mark u brilliant
Answers
Answer for the first question: There are 13 pieces of pie left.
Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.
3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.
1/2= 4 because you just divide 8 by 2.
3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.
Therefore, there are 13 pieces of pie left.
1. First, let's have the pieces have the same denominator: 8!
3/8 is already fine
1/2 = 4/8
3/4 = 6/8
Now add up the numerators: 13 pieces were eaten.
Since there are 3 pies, there's 24 pieces total
24 - 13 = 11
11 pieces are left over
2. First, 3/4 x 6 = 4.5
1 1/2 x 5 = 7.5
4.5 + 7.5 = 12
-5 + 12 = 7
At 5:00 pm, it was 7 degrees.
Hope this helps!
what is the value of f(-8) in f(x)=-3x-9
Answers
The value will be .......15.......
f(x) = -3x - 9
Now, substitute -8 in the place of x.
f(x) = -3x - 9
f(-8) = - 3(-8) - 9
f(-8) = 24 - 9
f(-8) = 15
______
Hope it helps ⚜
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
Answers
I need help please I don’t know what to it is due today
Answers
Answer:
1
Step-by-step explanation:
They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Answers
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
The map shows the location of four places in a city:
Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.
Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?
(1, 4)
(−1, 4)
(1, −4)
(−1, −4)
Answers
Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).
The signal rules for the quadrants of a point (x,y) are as follows:
First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).
You can learn more about quadrants at https://brainly.com/question/25900520
Simplify: -6(x + 4)
Answers
Answer:
A) -10x - 24
Step-by-step explanation:
1. To simplify this expression, we apply the distributive property.
[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]Therefore, the answer is A) -10x - 24.
Answer:
A) -10x-24
Step-by-step explanation:
[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]
[tex]a(b+c)=ab+ac[/tex]
a plumber receives $72 an hour. how much is she paid for 20 hours of work?
Answers
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list
Answers
Answer:36 is this 2nd grade?
Step-by-step explanation:
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have
Answers
Answer:
44 ten-dollar bills
Step-by-step explanation:
Assume that all 124 bills are ten-dollar bills,
124 x $10 = $1240
Total Value of Money : $840
$1240 - $840 = $400
There are $400 worth of five-dollar bills,
$400 / 5 = 80 (The number of five-dollar bills)
Therfore the number of ten-dollar bills,
124 - 80 = 44
Let's check:
44 x $10 = $440
80 x $5 = $400
Total = $440 + $400
= $840
Show work on the graph pls help I’ll brainlest ASAP
Answers
Answer:
Slope (known as m) = -3/2; Y-int (known as b) = 3
Step-by-step explanation:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]
m = [tex]\frac{-3}{2}[/tex]
b = [tex]3[/tex]
Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.
Answers
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.
Convert the time completely hours. Then we have
T = 3 + 20/60
T = 3.33 hours
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be
D = 49 x 3.33
D = 163.33 miles
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
More about the speed link is given below.
https://brainly.com/question/7359669
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help guys HURRY!!! plsss! :D
Answers
Answer:
B. x+240=425
Step-by-step explanation:
How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?
Answers
Answer:
14 Pounds
Step-by-step explanation:
35 / 12 = 2.9167
being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.