Answer:
f(g(0)) = 45
Step-by-step explanation:
to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)
g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then
f(- 3) = 2(- 3)² - 5(- 3) + 12
= 2(9) + 15 + 12
= 18 + 27
= 45
Answer:
a=k1![\sqrt[3]{B}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BB%7D)
B=125
Step-by-step explanation:
Given :
a=3
B=64
According to question
a ∝ ![\sqrt[3]{B}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BB%7D)
therefore
a=k1
........Eq(1)
K1=
......Eq(2)
Putting the value of a and B we get in Eq(2) we get

Putting the value of k1 in Eq(1)
.......................Eq(3)
putting the value of a=15/4 IN Eq(3) we get
![\frac{15}{4}\ =\frac{3}{4} \sqrt[3]{B} \\\\\sqrt[3]{B}\ =\ 5\\Cubing\ both\ side\ we\ get\\B=125](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B4%7D%5C%20%3D%5Cfrac%7B3%7D%7B4%7D%20%5Csqrt%5B3%5D%7BB%7D%20%20%5C%5C%5C%5C%5Csqrt%5B3%5D%7BB%7D%5C%20%3D%5C%205%5C%5CCubing%5C%20%20both%5C%20%20side%5C%20%20we%5C%20%20get%5C%5CB%3D125)
A geometric sequence with first term "a" and common ratio "r" has "nth" term:
ar^(n-1)
And the sum of a geometric sequence with "n" terms, first term "a," and common ratio "r" has the sum "a(r^n - 1)/r - 1.
1.) 765
2.) 300
3.) 1441
4.) 244
5.) 2101
Answer:
Step-by-step explanation:
A(1.00) + S(0.50) = 500
A + S = 900
S = 900 - A
A(1.00) + (900 - A)(0.50) = 500
A + 450 - 0.5A = 500
0.5A = 50
A = 100 adults
S = 900 - 100
S = 800 students