The digit 1, 3, 5, 7, or 9 would be in the ones place of an odd number.
Answer:
<u>This is the order:</u>
1. 3x
2. 3x + 8
3. x^2
4. x^2 + 6
5. 4^x
6. 4^x + 3
(I numbered them only so it would be easier to refer to them)
Step-by-step explanation:
<u>Why is Equation #2 greater than Equation #1? </u>
This is because the equations are the same, except that the second equation is shifted up by eight units. This means that its value is always going to be eight units greater.
This same reasoning applies to Equations 3&4 and 5&6.
<u>Why is Equation #3 greater than Equation #2?</u>
This is because a certain value multiplied by three (even with eight added) will soon be overtaken by that value squared. For example, let's make x= 5
3(5) + 8 = 23
(5)^2 = 25
As you can see, the equation x^2 is already greater in value than 3x + 8.
<u>Why is Equation #5 greater than Equation #4?</u>
This is because a certain value squared will soon be overtaken by 4 to the power of that value. For example, let's make x= 2
(2)^2 + 6= 10
4^2 = 16
As you can see, the equation 4^x is already greater in value than x^2 + 6.
Hope this helps! :)
Answer:
a. 60/61
Step-by-step explanation:
With reference angle A
base(b) = 60
hypotenuse (h) = 61
Now
Cos(A) = b / h
= 60/ 61
Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

Combine like terms:

Divide both sides by 12:

We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x =
°
∠BCD = 3x =
°
∠CDA = 2x =
°
∠DAB = 3x =
°
Hope this helped!
Answer:
Step-by-step explanation:
y=ar^x
(ar^5)/(ar^3)=72/432
r^2=1/6
Since r^2 < 1
This is exponential decay.