58+24=82 is the correct answer to that question because you subtract 2 from 60 then add that to 6 multiplied by 4
Answer:
40 degrees
Step-by-step explanation:
(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).
-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:
-1400 degrees+(360 degrees*4)
=-1400 degrees+1440
=40 degrees
so the answer is 40 degrees
Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
There are 9 long distance male runners and 5 long distance female runners. This makes a total of 9+5 = 14 long distance runners.
Out of this total of 14 long distance runners, there are 9 males. So the probability as a fraction is 9/14
If you need the answer in decimal form, then use a calculator to get 9/14 = 0.642857 which is approximate.
Answer:
{2, 6}
Step-by-step explanation:
w/2w-3=4/w is ambiguous. Did you mean
w 4
---------- = ------ ? If so, please enclose "2w - 3" inside parentheses.
2w - 3 w
Cross multiplying, we get w² = 8w - 12.
Putting this into standard form, we get:
w² - 8w + 12 = 0, which factors into (w - 2)(w - 6) = 0.
The solutions are found by setting each factor = 0 separately and solving the resulting equations for w: {2, 6}.
