What is the value of x in the triangle?
1 answer:
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The correct answer is option D which is 0.798
The complete question is given below:-
For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
<h3>What is an equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Since we know that an exponential function is in the form:y= ab where,
a= Initial value,
b = For growth b is in form (1+r), where r is the rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
Therefore the correct answer is option D which is 0.798
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The fireworks display occur at 550.331 ft
The generic equation for a hyperbola provided by: is the best method for solving the problem in this instance.
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We presume that the y-axis is where the hyperbola's longer axis lies.
In this instance, the sound traveled a total of 1100 meters, and the value of a can be calculated as follows:
2a = 1100
a = 550ft
Given that the two people are 3 miles apart, we can calculate the value of c in feet as follows:
1 mile = 5280 feet
∴ 3 miles = 15840 ft = c
And this is how we may determine what b is worth:
Our equation is thus given by:
And for this case we want to find the value of x when y = 3ft=15840ft and solving for x we get,
x = 550.331 ft.
The fireworks display occur at 550.331 ft.
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