We have
a2 = 4
a3 = 2
a4 = 1
calculate the
difference
a3 - a2 = -2
a4 - a3 = -1
The differences
are not equal---------- >the sequence is not arithmetic.
Getting the
ratio:
a3/a2 = 0.5
a4/a3 = 0.5
The common ratio
is 0.5. Using the general form for a geometric series:
an = a1 r^(n-1)
for n = 2----------------
> a2=4
4 = a1 (0.5)^(2-1)
a1 = 8
therefore
an = 8 (1/2)^(n-1)
the answer is an = 8 (1/2)^(n-1)
the answer is none of those indicated in the question
Answer:
10
Step-by-step explanation:
P(black bean soup) = cans of black bean / total = 6/12 =1/2
out of the next 20
20 *P(black bean)
20 * 1/2 = 10
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:
1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.
2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.
<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>
I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)