Answer:
Linear function
Step-by-step explanation:
Given

Required
Linear or Exponential
A linear equation has the form:
;
An exponential has the form: 
By comparing both functions to: 
The linear function is similar to 
<em>Hence, the given function is a linear function.</em>
Answer:
Step-by-step explanation:
<u>For every time you have a probability of getting 1 is:</u>
<u>For all 6, the probability of outcome of 1 is:</u>
- P(1x6) = (1/10)⁶ = 0.000001
Answer:
<u>It</u><u> </u><u>moved</u><u> </u><u>for</u><u> </u><u>1</u><u>5</u><u>2</u><u>.</u><u>7</u><u> </u><u>seconds</u>
Step-by-step explanation:
Time taken/ period, T :

substitute the variables:

In seconds:

Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
Answer:
10.3 units
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = 69°
Side length Opposite to reference angle = x
Hypotenuse length = 11
Thus, apply the trigonometric ratio, SOH:
Sin 69 = Opp/Hyp
Substitute
Sin 69 = x/11
11 × Sin 69 = x
10.2693847 = x
x = 10.3 units (nearest tenth)