The answer is a because if he has 36 cookies you start with that number. Then you don't know how many cookies he gave to his three friends so you have c as the variable that is multiplied by three. These two sets connect (36-cookies to begin with) minus(because he is giving away so he doesn't have them) and (3c-becuase 3 friends times the amount of cookies he gives each[unknown value=c])
So put together it's
36-3c
Answer: 90°
Step-by-step explanation:
Angle b is vertical to the angle that has a measure of 90°
Answer:
247,605
Step-by-step explanation:
Each year, the population is multiplied by a factor of (1 -14.6%) = 0.854. Multiplying by that factor for 10 years gives the value ...
1,200,000×0.854^10 ≈ 247,605
The population in 1990 is predicted to be 247,605.
Answer:
30×pi ft
Step-by-step explanation:
ST is the diameter.
the formula for the circumference of a circle is
C = 2×pi×r
r = radius = diameter / 2
so,
C = 2×pi×30/2 = pi×30
therefore, the first answer option is correct.
By the fundamental theorem of calculus,
<em>f(x)</em> = <em>f</em> (0) + ∫₀ˣ <em>f '(t)</em> d<em>t</em>
We're given that the plot of <em>f(x)</em> passes through the point (0, -7), so <em>f</em> (0) = -7, and
<em>f(x)</em> = -7 + ∫₀ˣ (9<em>t</em> ² + 4<em>t</em> - 4) d<em>t</em>
<em>f(x)</em> = -7 + (3<em>t</em> ³ + 2<em>t</em> ² - 4<em>t</em> )|₀ˣ
<em>f(x)</em> = -7 + (3<em>x</em> ³ + 2<em>x</em> ² - 4<em>x</em>)
<em>f(x)</em> = 3<em>x</em> ³ + 2<em>x</em> ² - 4<em>x</em> - 7