Answer:
782
Step-by-step explanation:
Hope this helps
Answer:whut
Step-by-step explanation:
Answer:
A. Five places to the left
Step-by-step explanation:
Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.
Before putting a number into scientific notation, you need to know which number is a significant figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.
Answer: 54 stitches
Step-by-step explanation:
12/2=6
6 stitches= 1 inch
X stitches=9 inches
X=54 stitches
Answer:
x = {nπ -π/4, (4nπ -π)/16}
Step-by-step explanation:
It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:
cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)
= cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)
= sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))
= (sin(x) +cos(x))·(sin(4x) +cos(4x))
Each of the sums in this product is of the same form, so each can be simplified using the identity ...
sin(x) +cos(x) = √2·sin(x +π/4)
Then the given equation can be rewritten as ...
cos(3x) +sin(5x) = 0
2·sin(x +π/4)·sin(4x +π/4) = 0
Of course sin(x) = 0 for x = n·π, so these factors are zero when ...
sin(x +π/4) = 0 ⇒ x = nπ -π/4
sin(4x +π/4) = 0 ⇒ x = (nπ -π/4)/4 = (4nπ -π)/16
The solutions are ...
x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n
