Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:$257.5
Step-by-step explanation: add all the amounts then divide by 4
Short Answer A
Comment
It's a good thing that the domain is confined or the graph is. That function is undefined if x < - 3
At exactly x = - 3, f(x) = 0 and that's your starting point.
So look what happens to this graph. If x = 0, f(0) = y = 3. So we are starting to see that as x get's larger so does f(x). The graph tells us that x = 0 is bigger than x = - 3.
Let's keep on plugging things in.
As x increases to 5, f(5) = 5. x = 5 is larger than x = 0, and f(5) > 3.
One more and then we'll start drawing conclusions. If x = 9 then f(9) = y = 6.
x = 9 is larger than x = 5. f(9) = 6 is just larger than f(5) which is 5
OK I think we should be ready to look at answers. There's nothing there that makes the answer anything but a. Let's find out what the problem is with the rest of the choices.
B
The problem with B is that as x increases, f(x) does not decrease. We didn't find one example of that. So B is wrong.
C
C has exactly the same problem as B.
D
The second statement in D is incorrect. As x increases f(x) never decreases. No example showed that.
The answer is A <<<< Answer.
ANSWER
EXPLANATION
We want to convert
to improper fraction.
Let us first reduce the fractional part to get;
We now multiply 6 by 18 and add 5 and then express the result over 18.
This will give us;
