Answer:
At 25 = 6.8612mm
At 50 years = 5.422mm
Step-by-step explanation:
Equation,
d = 2.115Logₑa + 13.669
d = diameter of the pupil
a = number of years
Note : Logₑa = In a (check logarithmic rule)
d = 2.115Ina + 13.669
1. At 25 years,
d = -2.115In25 + 13.669
d = -2.115 × 3.2188 + 13.669
d = -6.807762 + 13.669
d = 6.8612mm
At 25 years, the pupil shrinks by 6.86mm
2. At 50 years,
d = -2.1158In50 + 13.669
d = -2.1158 * 3.912 + 13.669
d = -8.2770 + 13.699
d = 5.422mm
At 50 years, the pupil shirks by 5.422mm
To save this question, I had to plug in the values into the equation.
Solving for Logₑa might be difficult, so instead I used Inx which is the same thing. Afterwards, i substituted in the values and solve the equation for each years.
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.
To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.
y = k / x
4 = k / 6
24 = k
Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
A: {<u>1</u>, 2, 3, <u>4</u>, 5, 6, <u>7</u>, 8, 9, 10, <u>11</u>, 12}
<span>B: {-2, -1, <u>1</u>, <u>4</u>, <u>7</u>, <u>11</u>}
</span>A<span> ∩ </span>B = {1, 4, 7, 11}
So the answer is B.
Intersection of two or more sets cointains only common elements.
Answer:
The first graph is the last option (y=5/2z) the second graph is the first option (y=5/4z)
Step-by-step explanation:
Find the rise over run
