f(x) = 
note the range is {1, 5, 25, 125 } which can be expressed as
{ 
, 
, 
, 
}
the exponents being the domain { 0, 1, 2, 3 }
thus f(x) = an exponential function
Answer:
Volume A= one third
Step-by-step explanation:
Use volume B
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
Answer:
Step-by-step explanation:
Start by noticing that the angle 
is on the 4th quadrant (between 
and 
. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:
Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:
The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle 
which renders for the cosine function the value 
.
Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: 
Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is:
well, if the expression is simply 12-2, then you would do simple subtraction and your answer would be 10. that would be simplest form. you cannot take it any simpler because there is nothing else left now. your answer would be 10.
