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3 years ago

Rewrite the expression as an equivalent power with a negative exponent. a. 1/49 b. 27/125

1 answer:

3 0

$\dfrac{1}{49}=\left(\dfrac{1}{7}\right)^2=7^{-2}\\
\dfrac{27}{125}=\left(\dfrac{3}{5}\right)^3=\left(\dfrac{5}{3}\right)^{-3}$

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

Marizza181 [45]

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

6 0

2 years ago

5 5 I think of a number, treble it then add on 3, the result is equal to 6. Find the value of the original number I thought of.

Licemer1 [7]

Let the number be x

If 3 is added to tripple the number then the result is 6

$\\ \sf\longmapsto 3x+3=6$

$\\ \sf\longmapsto 3x=6-3$

$\\ \sf\longmapsto 3x=3$

$\\ \sf\longmapsto x=1$

8 0

2 years ago

Read 2 more answers

Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of

11111nata11111 [884]

SOLUTION

Given the question on the question tab;

$From\text{ the graph; we will trace from x=1 upward to meet the curve, then trace to the y-axis.}$

The trace on the graph is given below;

$The\text{ value of y when x=1 is 15.}$

Final answer:

The volume of the box when x=1 is 15 cubic inches.

7 0

9 months ago

sandra raised 15 dollars for pta and nita raised 45 dollars how many times as much money did nita raise as compared to sandra

OlgaM077 [116]

Answer:

3 times (3x)

Step-by-step explanation:

Sandra raised 15 dollars.

Nita raised 45

45 divided by 15 is 3

3 * 15 = 45

7 0

2 years ago

Maria has a bag with 6 red marbles , 6 blue marbles , and 4 green marbles . Without looking Maria pick one marble. She does not

podryga [215]

40%

The probability of her getting a red marble is the number of red marbles divided by the number of total marbles. Since she picked a green marble first, we must subtract one marble from the total number of marbles, so that the total # of marbles is 6 + 6 + 4 = 16 - 1 (green marble) = 15. Since there are 6 red marbles, our probability is 6/15 or 2/5. Converted to percentage form, this is 0.4 —> 40%

7 0

2 years ago