Answer:
X=1 9/10
Step-by-step explanation:
6X multiply 2 - 2X=19
Calculate the product
12X-2X=19
Collect the like terms
10X=19
Divide both sides of the equation by 10
X=19/10
Simplify the improper fraction
X=1 9/10
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
Answer:
No, they are parallel
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
We can make:
A 3 sided shape and a 13 sided shape (3 + 13 = 16)
A 4 sided shape and a 12 sided shape (4 + 12 = 16)
A 5 sided shape and an 11 sided shape
A 6 sided shape and a 10 sided shape
A 7 sided shape and a 9 sided shape
2 8 sided shapes
Therefore the answer is 6.
Answer:
80 degrees
Step-by-step explanation:
To start, use the fact that the largest angle is the opposite of the longest side. Now, use the Law of Cosines (a^2 = b^2 + c^2 - 2bc cos A), where a is the longest side and A is its opposite, and b and c are the other sides. Plug the values in to get 1681 = 1962 - 1638 cos A, or cos A = 281 / 1638. Now, use a calculator to get that A is approximately 80.12 degrees, or 80 degrees.
