Answer:
98.19
Step-by-step explanation:
Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h
Answer:
See below.
Step-by-step explanation:
6.) (5)/6 ≤ 1 (Yes)
7.) 1.4(11) > 16
15.4 > 16 (No)
8.) 11.1 + 9.8 ≥ 21.01
20.9 ≥ 21.01 (No)
9.) 2.5 < (90)/30
2.5 < 3 (Yes)
10.) 1/2 > 3(1/6)
1/2 > 1/2 (No)
11.) 2.16 ≥ 3(0.6) - 0.5
2.16 ≥ 1.8 - 0.5
2.16 ≥ 1.3 (Yes)
12.) x < 2 (x is less than 2.)
13.) x ≥ -1 (x is greater than or equal to -1.)
Answer:
3/2.
Step-by-step explanation:
f(x)=2x+5 Finding the inverse:
y = 2x + 5
2x = y - 5
x = (y - 5)/2
So the inverse f-1(x) = (x - 5)/2
and f-1(8) = (8-5)/2
= 3/2.
As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.
Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:
(<span>3 – 5i)(–2 + 4i) = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i
Among the choices, the correct answer is B.
