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Black_prince [1.1K]
2 years ago
10

What is the simplest form of ^3√x^10

Mathematics
1 answer:
IrinaK [193]2 years ago
7 0

Answer:

3=-3

A radical is a mathematical symbol used to represent the root of a number. Here’s a quick example: the phrase “the square root of 81” is represented by the radical expression . (In the case of square roots, this expression is commonly shortened to —notice the absence of the small “2.”) When we find  we are finding the non-negative number r such that , which is 9.

While square roots are probably the most common radical, we can also find the third root, the fifth root, the 10th root, or really any other nth root of a number. The nth root of a number can be represented by the radical expression.

 

Radicals and exponents are inverse operations. For example, we know that 92 = 81 and  = 9. This property can be generalized to all radicals and exponents as well: for any number, x, raised to an exponent n to produce the number y, the nth root of y is x.

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What is the binomial expansion of (2x – 3)^5?
Tanya [424]

Answer:

C

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

7 0
3 years ago
Read 2 more answers
What is group A called?<br> What is group B called ?
Gre4nikov [31]

Answer:

A would be the line of best fit and B would be the oulier

7 0
3 years ago
Beth filled 32 jars with paint. If each jar holds 1 pint of paint how many gallons of paint did Beth use
Sloan [31]
If there are 8 pints in a gallon there are 4 gallons 32(pints) divided by 8 is 4
3 0
3 years ago
Jay made a name tag that was 15.24 centimeters long. What is the length of the tag in millimeters?
Georgia [21]
1cm = 10mm

15.24cm x 10 = 152.4mm

Hope this helps!!!
4 0
3 years ago
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A bug completes one lap along the edge of a circular planter of radius 11.7 cm in 13.91 s. How fast was it traveling? 1. 10.8518
IrinaK [193]

Answer:

8.5.28492 cm/s

Step-by-step explanation:

We are given that

Radius of circular planter=11.7 cm

Time taken by bug =13.91 s

We have to find the speed of bug.

We know that

Speed =\frac{distance}{time}

Distance traveled by bug =2\pi r

Distance traveled by bug =2\times 3.14\times 11.7

Because \pi=3.14

Speed of bug=\frac{2\times 3.14\times 11.7}{13.91}=5.28224 cm/s

Hence, speed of bug=5.2822 4 cm/s

Answer:8.5.28492 cm/s

8 0
3 years ago
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