Answer: it’s a rational number because all rational numbers are fraction, also if you need help on your classes or work I can help you pass okay?
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>The volume formula:</u>
<u>Given:</u>
- d = 0.75 in ⇒ r = d/2 = 0.75/2 in
- h = 0.04 in
<u>The volume of each penny:</u>
<u>The volume of 100 pennies:</u>
- V = 100*π(0.75/2)²(0.04) = π(0.75/2)²(4)
Correct choice is B
Answer:
I don't really understand this question
But if it's asking you to switch,
1. r = 2.5
2. r = 12
3. d = 34
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!