Answer:
divide 11 by 6 and you get 1.83333333
Answer:
-3
Step-by-step explanation:
Step 1: Write equation
-7.6(x - 1) = 7.3 - 7.4x
Step 2: Solve for <em>x</em>
<u>Distribute -7.6:</u> -7.6x + 7.6 = 7.3 - 7.4x
<u>Add 7.6x on both sides:</u> 7.6 = 7.3 + 0.2x
<u>Subtract 7.3 on both sides:</u> 0.3 = 0.2x
<u>Divide both sides by 0.2:</u> x = 1.5
Step 3: Find <em>-2x</em>
-2(1.5) = -3
Answer:
2.57
Step-by-step explanation:
The common ratio of this sequence is ...
(1/3)/(3/15) = (1/3)/(1/5) = 5/3
Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...
(1/3)·(5/3)^4 = 625/243 ≈ 2.57
_____
The generic n-th term (an) is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:
a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57
Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
Answer:
4
Step-by-step explanation:
As discussed in the section on galaxy classifications, Hubble found four distinct types of galaxies: elliptical, spiral, spiral barred and irregular. Although there are different types, we also learned that each galaxy contains the same elements, but these are arranged differently for each type.
