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Katyanochek1 [597]
3 years ago
8

Simplify x^1/3(x^1/2+2x^2)

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

x^{5/6 } + 2\cdot x^{7/3}

Step-by-step explanation:

Let be x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2}), which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})  Given.

2) x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2}) Distributive and associative properties.

3) x^{5/6 } + 2\cdot x^{7/3} a^{m}\cdot a^{n} = a^{m+n}/Result

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Llana [10]

Answer:

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21.2 x 0.02 = 0.424

2.05 x 0.004 = 0.0082

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A kangaroo hopped \dfrac13 3 1 ? of the distance to the lake with her baby in her pouch. She hopped the remaining 70407040 yards
kogti [31]

Answer:

6 miles.

Step-by-step explanation:

Let x be the total distance hoped by Kangaroo to the lake.

We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.

She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

\frac{2}{3}*x=7040

Let us solve for x by multiplying both sides of our equation by 3/2.

\frac{3}{2}*\frac{2}{3}*x=\frac{3}{2}*7040

x=3*3520

x=10560

Therefore, the total distance hoped by the kangaroo is 10560 yards.

1 mile = 1760 yards

Let us convert this distance in miles by dividing 10560 yards by 1760.

\text{The kangaroo hoped}=\frac{10560\text{ yards}}{\frac{1760\text{ yards}}{\text{Mile}}}

\text{The kangaroo hoped}=\frac{10560\text{ yards}}{1760}\times \frac{\text{ Mile}}{\text{ yards}}

\text{The kangaroo hoped}=\frac{10560}{1760}\times\text{ Mile}

\text{The kangaroo hoped}=6\text{ Miles}

Therefore, the kangaroo hoped 6 miles to the lake.

3 0
3 years ago
Please help I would be very grateful
Fittoniya [83]
Let’s see um so first you..
6 0
2 years ago
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of th
pantera1 [17]

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

7 0
3 years ago
Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
Alborosie
The graph you chose has a y intercept of 5. In other words, the point (0,5) is on that graph. However, if we plugged x = 0 into the function f(x), we get

f(x) = 3*5^x
f(0) = 3*5^0
f(0) = 3*1
f(0) = 3

So the point (0,3) is actually on the graph. The graph is increasing. So the answer is the upper left corner (instead of the upper right corner)
5 0
3 years ago
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