Answer:
Always
Step-by-step explanation:
An acute angle is an angle that is less than 90. Supplementary angles add up to 180.
So 180-89= 91
An obtuse angle is any angle that is greater than 90.
Here's a link to a better explanation.
brainly.com/question/14180317
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the equation that models the exponential decline is:

From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
Learn more about the line of best fit here:
brainly.com/question/14279419
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Answer:
w-15
Step-by-step explanation:
-3 * ( w + 5) + 4w
Distribute the -3 to each term in the parentheses
-3w -15 + 4w
Combine like terms
-3w+4w -15
w-15
Answer:
The total number of possibilities are 60.
Step-by-step explanation:
Given:
There are 6 digits and 3,7,9 are odd ones.
To Find:
How many possibilities are there for the rock's age
Solution:
Here condition is that number should start with odd digit
so there 3 number only as odd(3,7,9)
So it leaves 3 repeating numbers i.e.2
So permutation of 5 numbers with 3 odd numbers
So possible arrangement will be
nPr
n=5 ,r=3
So 5P3=5!/3!
And finally for all possibilities as
=3*(5!/3!)
=3*(20)
=60
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6.
The coefficient of y^2 is 2 and the constant term is 6.
The product of 2 and 6 is 12.
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer: 5 (2 y - 3) (y - 2)