Answer:
d
Step-by-step explanation:
i read though actually easy
Answer:
a). 3M = [ 6.5 1.3 23.4 ]
[ 8.6 28.6 11.7 ]
b). 2M = [ 10 20 36 ]
[ 24 44 18 ]
The number of each type of toy needed to be double the output.
( It looks like this is connected, if you need help, you can ask me, I have the whole PDF. And please give me Brainly for this =) Thank you. )
Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or
, and cotangent is the reciprocal of this, meaning that it is "x/y" or
.
That means that we are now given this equation.

That'll multiply to:

We'll want a common denominator to add by multiplying
to both top and bottom of the second term:


Pythagorean Identity states that
, so substitute that in:

Which simplifies to:

Hope this helps!
24=N is the correct answer
Let us examine the speed of growth of the function. We have that the difference between successive terms is: 2, 4, 8, 16. These are powers of 2 and thus there is clearly an exponential increase in the parent function. In fact, the function can be modeled by f(x)=C+2^x where C is a constant.
We have that the new function is g(x). Translating upwards by 5 means that the new y-values are 5 units higher. Hence, we have that the pairs (x,f(x)) correspond to the pairs (x,f(x)+5) and thus the answer is that the f(x)/y-values will be increased by 5.
According to the above, we need to check the given values and see whether in some cases we have g(x)=f(x)+5; in layman's terms, we need to check whether for some x, the new y-value is bigger by 5 from the old one. This is the case only for (2,16) since the old point was (2,11).