Answer:
Do you mean how many waves of sound and light went through the galaxy
<u>Answer:</u>
- Greatest number: 98750
- Least number: 5789
<u>Explanation:</u>
<em>To find the greatest number with the following values, we must arrange the numbers in descending form. </em>
<em>=> We can clearly tell that the numbers in descending form is 9 > 8 > 7 > 5 > 0</em>
<u>Hence, the greatest number with the following numbers (5,0,8,9, and 7) will be 98750.</u>
<h3>__________________________________________________</h3>
<em>To find the least number with the following values, we must arrange the numbers in ascending form.</em>
<em>=> We can clearly tell that the numbers in ascending form is 0 < 5 < 7 < 8 < 9</em>
<u>Hence, the least number with the following numbers (5,0,8,9, and 7) will be 5789</u>
Answer:
3
3 rectangles have vertices ABCD that lie on grid nodes
Step-by-step explanation:
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
