Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
4/9 times 4/9 is 16/81.
To make 4/9 of a recipe, 16/81 cups of granola needed.
The topics you should learn are equating denominators and fractions. This is summing up simple fractions.
So we have to make denominators' numbers the same in order to sum up them all (we can sum fractions if the denominators are the same) , and we did it by cross product (that thing on the picture)
Equating by lcm (least common multiple) is the easiest way, because you might see bigger numbers on other questions, and cross product will bring much bigger numbers, so this technic might confuse you.
By the way lcm of 4 and 5 is already 20
Hope it helps!
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- 
- 
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events


Calculating the size of |E n B|


<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|

<em>The size = 1 because it contains 1 possible outcome</em>