The <em><u>correct answer</u></em> is:
Explanation:
To write a composite function, we apply one function to another given function. In this case, we want to find area in terms of time; this means that the function A(r) gets applied to the function r(t).
In order to do this, we replace r with r(t). We already know that r(t)=0.5+2t; this means we replace r with 0.5+2t:
A(r(t))=π(0.5+2t)²
To simplify this, we simplify the squared term:
A(r(t)) = π(0.5+2t)(0.5+2t)
A(r(t)) = π(0.5*0.5+0.5*2t+2t*0.5+2t*2t)
A(r(t)) = π(0.25+t+t+4t²)
A(r(t)) = π(0.25+2t+4t²)
Answer is B
How I got is because I had to first figure out what 40 seconds worth of heartbeats are equal to. 80 - 48 is 32 divided by 2 is 16. Next, I added 48 and 16 which got me 64. All I had to do next was to add 80 and 16 because the rate of heartbeats per 10 seconds is 16. 80+16=96 and thats how I figured that the answer is B
Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.
Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)
Answer: (24/16)x+3
Explanation: First you have to find your slope so to do that you’ll have to do y1-y2/x2-x1. Once you have your slope you have to put this into an equation and use y=mx+b, so you can use the two first points (8,16) and plug it into the formula. You’ll have 16=3(8)+b once you have that you’ll multiply 3(8) which is 24 and then bring that down so now you have 16=24+b, the next step is to divide 16 by 24 you cannot divide this though because you’ll have a decimal n you don’t want that so you’ll have a fraction of 24/16.
9514 1404 393
Answer:
-19, -18
Step-by-step explanation:
Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...
x +1 = 20 + 2x
-19 = x . . . . . . . . . subtract x+20 from both sides.
The smaller integer is -19; the larger is -18.
