Answer:
2827.4ft.^3
Step-by-step explanation:
Volume of a Cone:
V = πr^2 h/3
V = π·15^2·12/3
= 2827.43339
Rounded to the nearest tenth = 2827.4ft.^3
Hope this helps :)
<u><em>Answer:</em></u>
1)
f(x)→ ∞ when x→∞ or x→ -∞.
2)
when x→ ∞ then f(x)→ -∞
and when x→ -∞ then f(x)→ ∞
<u><em>Step-by-step explanation:</em></u>
<em>" The </em><em>end behavior</em><em> of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph "</em>
1)
a 14th degree polynomial with a positive leading coefficient.
Let f(x) be the polynomial function.
Since the degree is an even number and also the leading coefficient is positive so when we put negative or positive infinity to the function i.e. we put x→∞ or x→ -∞ ; it will always lead the function to positive infinity
i.e. f(x)→ ∞ when x→∞ or x→ -∞.
2)
a 9th degree polynomial with a negative leading coefficient.
As the degree of the polynomial is odd and also the leading coefficient is negative.
Hence when x→ ∞ then f(x)→ -∞ since the odd power of x will take it to positive infinity but the negative sign of the leading coefficient will take it to negative infinity.
When x→ -∞ then f(x)→ ∞; since the odd power of x will take it to negative infinity but the negative sign of the leading coefficient will take it to positive infinity.
Hence, when x→ ∞ then f(x)→ -∞
and when x→ -∞ then f(x)→ ∞
Answer:
4 sets
Step-by-step explanation:
406 - 278 = 128
1 set = 40
2 sets = 80
3 sets = 120
4 sets = 160
3.2 sets = 128
Answer:
a. 0.25
b. 0.50
c. 0.75
Step-by-step explanation:
P(E1) = 0.25
P(E2) = 0.25
P(Es) = 0.25
P(E) = 0.25
a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:
b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring
c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring
Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90
