Determine if the number is written in scientific notation. if not explain 5.6 x 10^12
1 answer:
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Answer:
Step-by-step explanation:
Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.
Given:
Number of bees is modeled by the function
The daily high temperature is increasing at a rate of 2 °F per day when the number of bees spotted is 100.
To find:
rate of change of number of bees when 100 bees are spotted
Solution:
Differentiate with respect to t,
Put
At x = 100,
Answer:
Yes, y = x represents a proportional relationship and the constant of proportionality is
Step-by-step explanation:
<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>
- If x and y are proportion, then y = k x, where k is the constant of proportionality
- The proportional relationship represented graphically by a line passing through the origin point (0, 0)
Let us solve the question
∵ y = x
→ It the same as the form of the proportional equation above
∵ is a constant
∴ y is the product of x and constant
∴ y = x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = x
∴ k =
∴ The constant of proportionality is