Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
Matrix A order is 4x8.
Matrix B order is 4x16.
AB cannot result because an (m x n) can only be multiplied by an (n x p) matrix and orders don't match the requirements.
BA has the same negative result.
Answer:
Step-by-step explanation:
-2 = 17
You need find what number that need to be in the blank spot
17 + 2 = 19
19 - 2 = 17
In the second question u need to find equal number
17 - 3 = 16 - 2
14 14
They need to be equal - =
19 - 6 = 18 - 5
13 13
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that
a=44 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
![c= \sqrt{a^{2} + b^{2}}](https://tex.z-dn.net/?f=c%3D%20%5Csqrt%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%7D%20)
![c= \sqrt{4^{2}+(4\sqrt{3})^{2}}](https://tex.z-dn.net/?f=c%3D%20%5Csqrt%7B4%5E%7B2%7D%2B%284%5Csqrt%7B3%7D%29%5E%7B2%7D%7D%20)
![c= \sqrt{16+48} \\ c=\sqrt{64} \\ c=8](https://tex.z-dn.net/?f=c%3D%20%5Csqrt%7B16%2B48%7D%20%5C%5C%20c%3D%5Csqrt%7B64%7D%20%5C%5C%20c%3D8%20)
so
a=4, b=4√3, and c=8
Making your answer
B
Answer:
79%
Step-by-step explanation:
He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.