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DedPeter [7]
4 years ago
12

Find the simplified product (Sqrt 2x^3)(sqrt 18x^5)

Mathematics
2 answers:
Vikki [24]4 years ago
7 0

Answer:

6x^4

Step-by-step explanation:

the expression we have is:

(\sqrt{2x^3})( \sqrt{18x^5} )

Because it is a product of two square roots, we can put it together in one:

\sqrt{(2x^3)(18x^5)}

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8}  \\

and now we can take the square root of 36 which is 6.

and to take the square root if x^8 we divide the exponent by 2:

=6x^{8/2}\\=6x^4

the simplified product is:  6x^4

fiasKO [112]4 years ago
4 0

The answer is 6x^4

You can find the equation to your question here

brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

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Y=5x-2 is the equation of a straight line graph what is its gradient
zavuch27 [327]
The gradient of the function is 5.

y = 5x - 2
5 0
3 years ago
The vertex of this parabola is at (-3,2). Which of the following could be its equation?
Tcecarenko [31]

vertex form of the equation for a parabola

y = a(x-h)^2 +k

y = a(x--3)^2 +2

y=a(x+3)^2 +2

Choice B

8 0
3 years ago
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A full load for a small truck to haul is 2/3 ton of gravel. The truck is hauling 1/2 ton of gravel. Write a division sentence th
Romashka [77]

Answer:

The truck is hauling 3/4 of a full load

Step-by-step explanation:

we know that

2/3 ton of gravel represent the 100% of a full load

Find out how much of a full load the truck is hauling with 1/2 ton of gravel, using proportion

Let

x ----> the percentage of a full load

\frac{(2/3)}{100\%}=\frac{(1/2)}{x}\\\\x=100\%(1/2)/(2/3)\\\\x=100\%(3/4)\\\\x=75\%

Convert to fraction number

75\%=\frac{75}{100}=\frac{3}{4}

therefore

The truck is hauling 3/4 of a full load

6 0
4 years ago
What is (9.3x10^34)<br> (3.1x10^17) in scientific notation?​
mr_godi [17]

Answer:

3x10^17

Step-by-step explanation:

(9.3/3.1) * 10^(34-17) = 3^17

law of indices, x^m/x^n =x^m-n

5 0
3 years ago
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bike
joja [24]

9514 1404 393

Answer:

  A. d = ∑[k=1,n] (4.5+0.5k)

  B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

  an = a1 +d(n -1)

  an = 5 + 0.5(n -1) . . . . substitute numbers for this series

  an = 4.5 +0.5n . . . . . . simplify

The sum is the sum of these terms:

  \displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}

__

B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.

  \displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}

Melissa's total distance will first exceed 60 miles the 9th time she trains.

6 0
3 years ago
Read 2 more answers
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