Answer:
1. (B) 73
2. r = 15
Step-by-step explanation:
1. The sum of angles in a triangle is 180°.
62° +45° +k° = 180
k = 180 -107
k = 73
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2. The sum of exterior angles of any polygon is 360°.
4r° +7r° +5r° +8r° = 360°
24r = 360 . . . . . . . . . . . . . collect terms, divide by °
r = 360/24 . . . . . divide by 24
r = 15
Answer:
1.) Exponential Growth
2.) Exponential Decay
3.) Exponential Growth
4.) Exponential Decay
Step-by-step explanation:
<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>
↓
always increasing
<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>
<em> </em>↓
always decreasing
<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>
↓
always increasing
<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>
<em> </em> ↓
always decreasing
<u><em>EXPLANATION:</em></u>
It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
4.5 pounds
72 ounces
HOW-TO:
1. we know that 1 pound is 16 ounces.
So let's find how many of 16 are needed for 72.
72 ÷ 16 = 4.5
Use that answer and multiply it by the number of pounds per 16 ounces.
You get 4.5 pounds.
Answer:
y = (x -2)^2 +4
Step-by-step explanation:
The vertex form of the equation of a parabola is ...
y = a(x -h)^2 +k
for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.
One equation for your parabola could be ...
y = (x -2)^2 +4
__
In standard form this one is ...
y = x^2 -4x +8
