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sasho [114]
3 years ago
9

Write an exponential function in the form y = ab^x that goes through points (0,5) and (4,6480).

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Answer:y=5(6)^x

Step-by-step explanation:

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An obtuse triangle with area 12 has two sides of lengths 4 and 10. Find the length of the third side. (There are two answers.) (
mart [117]
This question can be solved using the Herons equation where 
A = SQRT [s*(s-a)*(s-b)*(s-c)]

A = area of the triangle
a, b and c are the sides of the triangle

s = (a+b+c)/2

Since we are given the area, we can express "s" as a function of the third side c. This can be substituted in the original equation so as to obtain an expression to solve for the third side c

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using the solver function of the calculator or MS Excel, the third side is 7.21 units
3 0
3 years ago
What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
Bond [772]
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

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Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
7 0
3 years ago
I need help with number 11
FinnZ [79.3K]

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-b/2a is the equation to find the x coordinate of the vertex point and it's y, when x is plugged into the quadratic equation.

Step-by-step explanation:

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