Answer:
i
Step-by-step explanation:
i =
i^2 = -1
i^3 = -i
i^4 = 1
(Make sure you know your exponent rules)
15 points!!!! There is a line that includes the point 0,10 and has a slope of 7/4. what is it’s equation in slope intercept form
1 answer:
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Answer: isosceles
Step-by-step explanation:
By the alternate interior angles theorem,
Since angles in a triangle add to 180 degrees,
Since sides opposite equal angles in a triangle are equal, .
So, triangle ABC is <u>isosceles</u>
The population of the moose after 12 years is 7692
Step-by-step explanation:
The form of the exponential growth function is , where
- a is the initial value
- b is the growth factor
The table:
→ x : y
→ 0 : 40
→ 1 : 62
→ 2 : 96
→ 3 : 149
→ 4 : 231
To find the value of a , b in the equation use the data in the table
∵ At x = 0 , y = 40
- Substitute them in the form of the equation above
∵
- Remember any number to the power of zero is 1 (except 0)
∴ 40 = a(1)
∴ a = 40
- Substitute the value of a in the equation
∴
∵ At x = 1 , y = 62
- Substitute them in the form of the equation above
∵
∴ 62 = 40 b
- Divide both sides by 40
∴ 1.55 ≅ b
∴ The growth factor is about 1.55
- Substitute its value in the equation
∴ The equation of the population is
To find the population of moose after 12 years substitute x by 12 in the equation
∵
∴ y ≅ 7692
The population of the moose after 12 years is 7692
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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