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iris [78.8K]
3 years ago
9

What is the following sum 5x(^3sqrt(x^2y)+2(^3sqrtx^5y)

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

Answer:

7x[∛x^2y]

Step-by-step explanation:

given:

5x\sqrt[3]{x^2y} +2\sqrt[3]{x^5y} \\5x(x^\frac{2}{3}.y^\frac{1}{3}) + 2.x^\frac{5}{3}.y^\frac{1}{3}    \\5x.x^\frac{2}{3}.y^\frac{1}{3} + 2.x^\frac{5}{3}.y^\frac{1}{3} \\5x^\frac{5}{3}.y^\frac{1}{3} + 2.x^\frac{5}{3}.y^\frac{1}{3} \\\\  y^\frac{1}{3} (5x^\frac{5}{3} + 2x^\frac{5}{3} )\\y^\frac{1}{3} (7x^\frac{5}{3}} )\\7\sqrt[3]{x^5y}\\ 7x\sqrt[3]{x^2y} !

gulaghasi [49]3 years ago
5 0

Answer:

 [/tex]7x\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

The given equation is:

5x\sqrt[3]{x^2y} +2\sqrt{3}{x^5y}

Solving this equation step by step

5x\sqrt[3]{x^2y} +2\sqrt{3}{x^5y}

∵ x⁵ = x³ × x²

5x\sqrt[3]{x^2y} +2\sqrt[3]{(x^3\times x^2)y}

take the x³ outside the cube root in second term

5x\sqrt[3]{x^2y} +2x\sqrt[3]{(x^2)y}\\\sqrt[3]{x^2y} (5x+2x)\\7x\sqrt[3]{x^2y}

Thus, last option is correct.

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zhuklara [117]

Answer:

in three hours he would have used up 3.75 gallons of gas. He would have 6.25 gallons of gas left in his tank after driving 3 hours.

Step-by-step e

5 0
3 years ago
7,300 deposit earning 3.3% compounded monthly after 1 year. What will the balance after 1 year will be?
inna [77]

Answer:

$7,544.58

Step-by-step explanation:

We will use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.3% into its decimal form:

3.3% -> \frac{3.3}{100} -> 0.033

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=7,300(1+\frac{0.033}{12})^{12(1)}

A=7,544.58

The balance after 1 year will be $7,544.58

7 0
3 years ago
If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain
Ainat [17]
Begin by finding the lowest point the quadratic equation can be, the vertex; 

x²-1= is just a translation down of the graph x²

vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}. 

For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers. 

Hope I helped :) 
5 0
3 years ago
Help asap please and please explain so I could try the rest on my own
kiruha [24]

Answer:

7

Step-by-step explanation:

It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.

4 0
3 years ago
Read 2 more answers
Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% o
Vinvika [58]

Answer:

17% of the bill

Step-by-step explanation:

Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.

35 + 48 = 83%

now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.

100% - 83% = 17%

So Patti is paying 17% of the bill

If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17

45 x 0.17 = 7.65

So Patti is paying 7 dollars and 65 cents

3 0
3 years ago
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