If 1 mile is equal to 1.6 km, then our dimensional analysis would be set up like this to solve for m per hour: . The miles label cancels out leaving us with kkm per hour. Doing that multiplication gives us 12.8 km in one hour. If she can go 12.8 m in one hour, then we multiply that by 2 to find out how far she can go in 2 hours. 12.8*2 = 25.6 km in 2 hours.
Suppose a variable x is normally distributed with a standard deviation of 10. given that 30.85% of the values of x are greater t
1 answer:
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Considering that the graph contains an asymptote and does not cross it, an exponential function is modeled.
<h3>What is an exponential function?</h3>It is modeled by:
In which:
- a is the y-intercept.
- b is the rate of change.
- y = c is the asymptote, which is not crossed by the function.
Hence, in this problem, an exponential function with asymptote at y = 0 is modeled by the graph.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
The first coordinate plane has a constant additive rate of change of -1/4
Step-by-step explanation:
Additive rate of change is determined using the slope formula:
It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a <em>constant</em> rate of change; it must be the same throughout all of the coordinates.
The first coordinate plane with (-2, 2) and (2, 1) is
so this is the answer. I encourage you to look below to see why the others are <em>not </em>the answer, as there are some tips throughout the rest of my response.
The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.
The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.
The last table has a positive slope of 3.3, so this does not fit what we want from an answer.
Hope this helps :)
<h2>9 ft</h2>
Step-by-step explanation:
The height of kangaroo after it jumps is represented by the function , where
is in seconds, height is in feet.
To find the maximum height that the kangaroo jumps, we need to maximise .
The minimum/maximum value of a quadratic expression is given by
.
As the coeffecient of quadratic term is negative, the function has a maxima.
Maximum value = .
∴ Maximum height = 9 ft