Answer:
1:3
Step-by-step explanation:
To find the probability of selecting a certain type of item from a collection, simply divide the number of items of that type by the total number of items.
There are 3 + 2 + 1 = 6 marbles in total. There are 2 yellow marbles, so the probability of choosing a yellow marble on the first draw is 2/6. This can be further simplified to 1:3.
Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
we divide 192 by the volume 19.5
192÷19.5=9.85 so the necklace is made of bronze
Answer:
D
Step-by-step explanation:
The expression ![\sqrt[5]{x} *\sqrt[5]{x}* \sqrt[5]{x} *\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%20%2A%5Csqrt%5B5%5D%7Bx%7D%2A%20%5Csqrt%5B5%5D%7Bx%7D%20%2A%5Csqrt%5B5%5D%7Bx%7D)
simplifies to ![\sqrt[5]{x*x*x*x} = \sqrt[5]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%2Ax%2Ax%2Ax%7D%20%3D%20%5Csqrt%5B5%5D%7Bx%5E4%7D)
A radical can be written as a fractional exponent. The index of a radical is the denominator of its fractional exponent.
