Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
So in this case, the center is (2, -3) and the radius is 4/3.
Answer:
11
Step-by-step explanation:
Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.
Using a point on the line, (4, 44),
Constant of proportionality, k = 
.
Constant of proportionality of the graph is 11.
hope this helps :)
Answers:
1a: I can predict that Flower Garden and Butterlfies and Ladybugs are the two more likely to be chosen, over April Showers.
1b: These percentages I got can prove my theory of that the probability of choosing April Flowers is much lower than the two other options.
Flower Garden: 35/78 ≈ 45%
April Showers: 16/78 ≈ 21%
Butterflies and Ladybugs: 27/78 ≈ 34%
2a: What you should NOT do is conclude which two will be picked.
2b: Although you can predict, based on percentages or other things. You cannot make such a conclusion with the choice being random.
Answer:
9 23 23
Step-by-step explanation:
Two sides are equal and are each 2x + 5 ( x = third side)
add the three sides to get 55 inches
2x + 5 + 2x+5 + x = 55
5x = 45
x = 9 so the sides are 9 and 23 and 23
