During a discussion in science class, shaeon learns that at birth an elephant weighs around 230 pounds. in four herds of elephan
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The expression y = 4.998 · is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:
Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 · .
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.
Step-by-step explanation:
The height of the ball after t seconds is given by the following equation:
What is the height of the ball at the time it is kicked?
The ball is kicked at t = 0.
So we have to find h(0)
At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
So everything will be over 13.
Probability of a white marble being drawn -->
Probability of a blue marble being drawn -->
Probability of a red marble being drawn -->
Now to find the probabilities of more than one being drawn, we can multiply.
Part a :
Part b :
Part c :
Part d :
Answer:
P = 47.32
Step-by-step explanation:
This triangle is a special triangle. Because it is 30-60-90 it will have measurements similar to . If the longest side is 20 then it corresponds to 2. This means the shortest side of 1 corresponds to half this or 10.
So the triangle will have sides .
To find the perimeter add all these lengths.