Answer:
Test's average-95
Homework's average-96.67
Step-by-step explanation:
Average is mathematically defined as the sum of the values divided by the total number of values and is expressed as:
The Tests' average is calculated as:
Hence, the Tests' average is 95
#The Homework's average is calculated as:
Hence, the Homework's average is 96.67
We can set up a proportion.
32/128 = x/100
32 * 100 = 3200
128 * x = 128x.
Now we have 128x = 3200.
All we need to do is divide 3200 by 128, so 3200 / 128 = 25, so your answer is 25%.
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer:
v= -(-v)
Step-by-step explanation:
A translation of Figure 1 results in Figure 2.
Answer: Option c: translation
