14 minutes at 100 degrees
Answer:
Step-by-step explanation:
A line goes through the points (-2, 4) and (8, 9). We see that x increases by 10 and y increases by 5.
Thus, the slope of this line is m = rise / run = 5/10 = 1/2 (the slope)
Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:
y - 9 = (1/2)(x - 8) (point-slope form)
y = (1/2)x + 5 (slope-intercept form)
Answer:
The sum of the arithmetic progression is 2520
Step-by-step explanation:
The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

Where;
n = The nth term of the progression
a = The first term = 100
d = The common difference = -2
Given that the last term = -10, we have;
-10 = 100 + (n - 1) ×(-2)
n = (-10 - 100)/(-2) + 1 = 56
Therefore, the sum of the 56 terms of the arithmetic progression is 
Which gives;

For an item that cost $ 42, Mick paid $2.94 in sales tax. So percentage of sales tax is

And we have to find the sales tax that he paid for an item that cost $58, and for that , we have to find 7% of 58 , that is

So he pays a sales tax of $4.06 .
R= <span><span>√<span><span>x²</span>+<span>y²</span></span></span>
</span> = 16 or <span><span>(<span>x²</span>+<span>y²</span>)</span>
</span> = <span><span>16²</span>
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