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
Find the perimeter of the figure shown to the right.
Step-by-step explanation:
that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.
and that clearly means to just add all side lengths.
that's it.
so, 25 + 18 + 18 + 20 + 17 = 98 ft
was there any other problem with this you did not understand ?
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
answer in standard form PLEASE.
Can system of equations be linear and nonlinear
Another company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year.
Answer:
120
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120
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:
Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
0 pounds
1/2 pounds
1 pound
Answer: Check explanation.
Step-by-step explanation: I think its 0. Not sure. Hope this helped!
I need help on this question
x = -7
hope this helps!
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
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.
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.
what is the recriprocal of 8
Answer:
answer = 1/8
Step-by-step explanation:
answer = 1/8
How long does it take for sunlight to reach earth? Show Work!
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?
What we know:
Korena is paid $40 every five times she does the job
What we need to figure out:
How many times does she have to do it to earn $100
Math:
First I'm going to figure out how much she makes each time she weeds
Money earned ÷ Amount of times
40 ÷ 5
= 8
In order to determine the rest of the time we are going to multiply everything we know by 2
Korena is paid $80 if she does it 10 times
We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;
($8 per time)
Korena is paid $88 if she does it 11 times
Korena is paid $96 if she does it 12 times
Korena is paid $104 if she does it 13 times
Statement
Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.
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
Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2
Answer:
This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?
There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.
Hope this helps!
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
Dividing a polynomial
Answer:
the answer is
Step-by-step explanation:
-7u⁶y²-5u³+3uy²
that is the correct answer trust me
Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.
Answer:
centre = (- 6, - 1 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 12x + 2y + 12= 0
Collect the x- terms and the y- terms together and subtract 12 from both sides
x² + 12x + y² + 2y = - 12
Using the method of completing the square
add ( half the coefficient of the x / y coefficients )² to both sides
x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1
(x + 6)² + (y + 1)² = 25 ← in standard form
with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5
f(x)=1/2(x-2)(x+3)^3
Answer:y=
1
2
x4+
7
2
x3+
9
2
x2+
−27
2
x−27
Step-by-step explanation:
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°
I need some help :(
A)4
B)2.9
C)3.8
Answer: C
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
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer
Answer:
[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]
Step-by-step explanation:
Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]
Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:
[tex]-1=-\frac{3}{4}x-7[/tex]
[tex]6=-\frac{3}{4}x[/tex]
[tex]24=-3x[/tex]
[tex]-8=x[/tex]
So, when [tex]f(x)=-1,x=-8[/tex]
Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.
5x-13=2x-9-4+3x
I got the answer and steps for this math problem,
Answer:
[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]
= 1 5/9 or 1 .5555556.
Step-by-step explanation:
Please comment if I'm
wrong...
PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM
Answer:
3/5y
Step-by-step explanation:
6y/35 ÷10y^2/7
to solve this you do reciprocal of 10y^2/7
then;
6y/35 x 7/10y^2
solving this
3/5y