What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
The expression is given as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]
Rewrite the expression as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]
Evaluate the roots
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]
Open the brackets
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]
The above expression cannot be further simplified.
Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
We have to determine, the sum of the given expression.
According to the question,
Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]
To determine the sum of the given expression following all the steps given below.
Rewrite the expression term in the form of their cubes,
[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]
Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/21798224
Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23
(will mark brainliest if correct)
Answer:
D). 23Step-by-step explanation:
I just did this question and it is 100% correct
what is the recriprocal of 8
Answer:
answer = 1/8
Step-by-step explanation:
answer = 1/8
plz I just wanna if my answers are true
Answer:
3^2
3^4
3^6
Step-by-step explanation:
9 is actually 3^2, so you have the first one wrong.
The second one is correct, but the third one is not
Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.
On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?
Answer:
5 / 13 is the fraction of girls on the field trip
5/13 * 130 = 50 girls on the trip
Or 10 groups of 13 and each group of 13 had 5 girls giving a total of
5 * 10 = 50 girls
Dividing a polynomial
Answer:
the answer is
Step-by-step explanation:
-7u⁶y²-5u³+3uy²
that is the correct answer trust me
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6
Step-by-step explanation:
How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50
Answer:
Step-by-step explanation:
x=2,−5,5
if any doubt leave a comment
Give BRAINLIEST
A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?
Answer:
Y = X times 0.28
Step-by-step explanation:
1. You set it up as a proportionality
12/1 and 3.36/x
The x stands for how much money it takes to get 1 ounce
2. You do the old man line.
12 times x = 3.36 times 1
12x = 3.36
3. Now you divide 3.36 by 12
3.36 divided by 12
.28
4. You insert 0.28 into the problem
12 times 0.28 = 3.36
X = 0.28
So 1 ounce costs $0.28
So Y = X times 0.28
Answer:
Step-by-step explanation:
how to graph transformations of quadratic functions
Answer:
Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.
Step-by-step explanation:
1) I want to talk about reflections first.
Reflections across the x-axis --> [tex]y = ax^2[/tex], a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. Reflections across the y-axis --> [tex]y=a(bx)^2[/tex], b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its [tex]y=(x-3)^2[/tex]... the reflection across the y-axis is different (that equation is: [tex]y=(-x-3)^2[/tex] )2) Rigid transformations
Horizontal transformations (to the left or right): [tex]y=a(bx-h)^2[/tex], factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. Vertical transformations (up and down): [tex]y = a(bx-h)^2+k[/tex]... k is just the units up... if k is negative then we move it down.Example (check image for visual)
We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.
--------------------------------------------------------------------------------------------------------------
Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.
solve similar triangles (advanced)
Answer:
x = 5
Step-by-step explanation:
Thales' theorem
[tex]\frac{9}{3} =\frac{15}{x}[/tex]
[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]
hope this helps
Order these numbers from least to greatest
Answer:
5.125, 5.14, ¹⁰³/₂₀, 5²/₉
Step-by-step explanation:
When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.
When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.
Can you please help me
Answer:
V = 113.1
Step-by-step explanation:
V= 4/3 π r^3
V= 4/3 x 3.14 x 3^3
V= 4.19 x 27
V= 113.13
rounded to 113.1
In this question all the required information is given so we'll simply have to solve.
[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]
Let's substitute the values according to the formula.
[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]
[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]
Now, we can round off to the nearest tenth.
If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.
In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.
[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]
Therefore, the volume of the given sphere is 113.1 cubic meters.
Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination
High school Geometry
Answer:
the answer is b. sss is not possible
A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total
y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.
Answer:
[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Step-by-step explanation:
First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]
Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]
After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]
Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]
Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]
Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]
After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]
Now, simplify again to get [tex]5xy-10x=10y-27[/tex]
Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]
Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]
If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Hope this helps explain it!
I need help on this question
x = -7
hope this helps!
Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
54 - (2n)
Step-by-step explanation:
First you take 54
Then its says to “decrease (said number: 54) by twice a number”
Decrease meaning “take away/remove”.
So you subtract 54 by 2 —> 54 - 2
But then, the important line comes along, “Use the variable n to represent the unknown number.
This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.
So your answer is —> 54 - (2n)
Answer:
54 - 2n
Step-by-step explanation:
54 - 2n
help ASAP please again
she got a 110 score
explanation: sorry ignore just had to do 20 characters
Hep I’ll choose brainliest!!
Answer:
7
Step-by-step explanation:
3x - y = 1
2x + 2y = 14
x = 2
y = 5
x + y = 2 + 5 = 7
number 3 pls !!!!!!!!!!!!!!
Answer:
9
Step-by-step explanation:
ED: DC = 3:1
AB : BC = 3:1
AB: 3 = 9
Answer:
AB = 9
Step-by-step explanation:
Tale's theorem
[tex]\frac{12}{4} =\frac{AB}{3}[/tex]
[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]
Hope this helps
Х
Note: Enter your answer and show all the steps that you use to solve this problem
in the space provided.
389
21
21
Drawing not to scale
What is the value of x?
Math symbols
Relations
Answer:
71°
Step-by-step explanation:
well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.
so 2x°+38°=180°
so 2x°=142°
so x=71°
Trevor simplifies a linear equation
Answer:
C :3
Step-by-step explanation:
Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.
Therefore, our answer is C.
even if we don’t know what x is we’ll still get an infinite amount of solutions
HOPE THIS HELPED :DDDD
0.36 as a standard form
Answer:
0.36 x 10⁰Step-by-step explanation:
what is the slope of a line that passes through (2,11) and (5,29)?
Answer:
6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(29-11)/(5-2)
m=18/3
m=6
#1 need help asap plzzzzzzzzzzzz
Answer:
[tex]n+4<12[/tex]
Step-by-step explanation:
A number would be represented as [tex]n[/tex]
"plus 4" is addition so that would be [tex]n+4[/tex]
fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]
so that's how you get [tex]n+4<12[/tex]
Solve three questions
Answer:
7) r = -4
8) n = 1
9) x = 2
Step-by-step explanation:
Problem 7
Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.
5 + 3r + 6 = -1
3r + 11 = -1
Next, let's remove 11 from both sides to isolate r.
3r = -12
Finally, we can divide both sides by 3 to find the value of r.
r = -4
Problem 8
In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).
-n + 3n + 2 = 4
2n + 2 = 4
Next, we can remove 2 from both sides to isolate r.
2n = 2
And finally, we can divide both sides by 2.
n = 1
Problem 5
This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.
(-6 + x)/4 = -1
4 × (-6 + x)/4 = 4 × -1
4/4 × (-6 + x)/1 = -4
-6 + x = -4
Finally, let's add 6 to both sides.
x = 2
Help me plz I would really appreciate it!
[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.