The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:
m = 33/10 = 3.3.
Hence:
y = 3.3x + b.
When x = 28, y = 123, hence we use it to find b as follows:
123 = 3.3(28) + b
b = 30.6.
Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
More can be learned about linear functions at brainly.com/question/24808124
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5. 60/12 is 5 :) hope this helps
Answer:
10.69
Step-by-step explanation:
We must first know that the angle of refraction is given by the following equation:
n_water * sin (A_water) = n_air * sin (A_air)
where n is the refractive index, for water it is 1.33 and for air it is 1.
The angle (A) in the air is 22.8 °, and that of the water is unknown.
Replacing these values we have to:
1.33 * sin (A_water) = 1 * 0.387
sin (A_water) = 1 * 0.387 / 1.33
A_water = arc sin (0.2907) = 16.9 °
now for the tank depth:
h = D / tan (A_water)
D = 3.25
Replacing
h = 3.25 / tan 16.9 °
h = 10.69
Therefore the depth is 10.69 meters.
29 tables of relationships is the answer to your equation above … THANK ME LATER
0=65-10t-5t^2
now what you want to do is multiply a and c
-5(t^2+2t-13)
Now just find the zeros
