Answer:
csc²(x)
Step-by-step explanation:
csc(x) = 1/sin(x)
sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =
= 1 - 2×sin²(x)
=> 2×sin²(x) = 1 - cos(2x)
sin²(x) = 1/2×(1-cos(2x))
=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)
=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =
= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)
The formula for compounded interest is A = P (1+r/n)^nt.
P=580
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
Answer:
D. y = -5/7x + 5
Step-by-step explanation:
5x + 7y = 35
-5x -5x
7y = 35 - 5x
/7 /7 /7
y = 35/7 - 5/7 x
y = 5 - 5/7x
Answer:
y = -6x + 2
Step-by-step explanation:
Slope intercept form: y = mx + b
m is the slope
b is the y-intercept
The line pictured goes down 6 for each 1 it moves to the right, slope is rise over run, in this case, -6/1 or just -6
The y-intercept is the point that the function crosses the y-axis, in this case 2
Plug those in to get:
y = -6x + 2
