Answer:
-1
This is because in negative the numbers the higher the number, the lower its value
Step-by-step explanation:
In this sequence a=7
d=11.5-7=4.5
So 46th term = a+45d
=7+45(4.5)
=7+202.5
=209.5
Answer:
A
Step-by-step explanation:
Begin with Euler's formula. I am assuming youre aware of this if youre taking complex algebra? You can prove Euler's formula by doing a Maclaurin expansion of cosine, sine, and e^x. Euler's formula states that:

We can put the first complex number in exponetial form by noticing the input is 2pi/3. The second complex number has an input of pi/3. Therefore:


Then:

Simplify the coefficients to get:

When you divide exponentials, you subtract the exponents. Therefore:

Put it back into trigonemtric form using Euler's formula:

Cosine of pi/3 is 0.5, and sine of pi/3 is square root of 3 over 2. We have:

Answer:
32
Step-by-step explanation:
Linear pair means they form a line, or add to 180°.
2x − 5 + 4x − 7 = 180
6x − 12 = 180
6x = 192
x = 32
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If

If 

So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.