find the exponential model of best fit for the points (-3,5),(1,12),(5,72),(7,137). Explian how you got your answer. Round value
s to the nearest hundredth.
1 answer:
<h3>Answer:</h3>
f(x) = 11.93·1.42^x
<h3>Step-by-step explanation:</h3>I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...
... y = a·b^x
It told me ...
... a ≈ 11.9304, b ≈ 1.41885
In accordance with the problem statement, these values are rounded to hundredths to get the answer.
_____
<em>Comment on the graph</em>
The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.
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Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where represents length,
represents width and
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
Dividing both sides by 12.
∴
Thus, the height of the tent = 3 feet
