First, we must understand why the three other choices are not mixtures. Salt is a compound made from elements Sodium and Chlorine. Aluminum is an element. Carbon dioxide is also a compound composed of Carbon and Oxygen.
Now, gasoline. is substance made from refined crude oils (or hydrocarbons). As a matter of fact, gasoline is an example of a homogenous mixture.
Thus, amongst the choices, the mixture would be gasoline<span>.
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The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.
<h3>What is an exponential equation?</h3>
The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.
Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
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Answer:
You have to use the formula for compound interest which is: A=P(1+r/n)^nt
The Givens info is:
A=?
P=1000
r= 6% = 0.06 (convert into decimal)
n=12(# of interest periods: since it is monthly n=12)
t=10
Now your formula should look like this:
A= 1000*(1+(0.06/12))^12*10
A=1000*(1.005)^120
A=1000*(1.819396734)
A=$1819.40
Step-by-step explanation:
Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
