Answer:
The 61st term would be 495
Step-by-step explanation:
In order to find the 61st term, you need to find the rule for the sequence. You'll notice that the numbers are going up by 8. Since there is no 0th term, the first term would be 8 more than the base.
15 - 8 = 7
Therefore the base is 7. As a result, you can model the sequence as:
An = 8n + 7
In which n is the number in the sequence. Now knowing this, we can plug in 61 and get the answer.
An = 8n + 7
An = 8(61) + 7
An = 488 + 7
An = 495
Answer:
The answer would be C
Step-by-step explanation:
This is because 3/4 times two is 6/4 simplified is 1 1/2
Answer:
D, A,B I think that’s it
Step-by-step explanation:
Answer:
51 degrees
Step-by-step explanation:=Given data
Temperature at 6pm = 60 degrees
percent drop= 15%
= 15/100*60
=0.15*60
=9 degrees
Hence the temperature at 10 pm is 60-9= 51 degrees
To find the maximum height you need to find the vertex:(h,k)
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.
To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts.
-.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.
You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same.
