We assume the annual percentage increase is the same. We will work out the constant k using the formula
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula
Take log both sides give
We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)
≈79 million
Answer:
The graph of the function f( (1/2)x ) will expand across x-axis
Step-by-step explanation:
We have been given the function:
f(x) = x⁴
If we substitute x = (1/2)x into the given equation, we get:
f((1/2)x) = ( (1/2)x )⁴
We can simplify the equation
f((1/2)x) = = (1/2)⁴ x⁴
f((1/2)x) = = (1/16) x⁴
Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴
Hey There Remone,
<span>Order the fraction from least to greatest 1/4,1/6,1/5
</span>
<span>
</span>
<h3>
Answer: -76 (choice C)</h3>
Explanation:
We're applying the dot product.
u dot v = 3*(-4) + (-8)*8
u dot v = -12 - 64
u dot v = -76
The idea is that we multiply the x coordinates together, and the y coordinates together separately. Afterward you add the products. The result of any dot product is a scalar value, aka a single number.
The dot product is useful in many applications. One of which is to determine if two vectors are orthogonal.
Answer:
42
Step-by-step explanation:
First condense all the numbers with exponents:
3² x 5³x 8 divided by 3 x 5³ x 8
27 x 125 x 8 divided by 3 x 27 x 8
Then multiply 27 , 125 ,and 8
27 x 125 x 8 =27000
Then multiply 3, 27 ,and 8
3 x 27 x 8 = 648
Then divide 27000 by 648
27000 / 648 = 41.6666666667
Which rounds to about: 42
