K+3=-9
k=-12 is the answer
Answer:
x² - 10x + 34
Step-by-step explanation:
given the roots are x = 5 ± 3i then the factors are
(x - (5 + 3i))(x - (5 - 3i))
= (x - 5)² - 9i² ← expand (x - 5)²
= x² - 10 x + 25 + 9 → [ i² = - 1 ]
= x² - 10x + 34
the missing term is 10x
5 x 3²⁴ bacteria will there be after one day.
What is exponents?
Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".
Consider what is actually happening in the question.
You begin with 5 bacteria, and after 1 hour it has tripled so you now have
5x 3=15.
Next hour, it triples again so you now have 5 x 3 x 3=45
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴ means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 5 x 3²⁴.
Hence 5 x 3²⁴ bacteria will there be after one day.
To know more about exponents , visit:
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Answer:
sin0 = -12
Step-by-step explanation:
tan0 = sin/cos
12/5 = sin / -15/3
sin = tan0 x cos0 = 12/5 x -15/3 = -12
