First convert the distance to miles
<span>9.5 × 10^12 km x 0.62 miles/km </span>
<span>= (0.62 × 9.5) x 10^12 miles </span>
<span>= 5.9 × 10^12 miles </span>
<span> we want to triple that, because it is 3 light years (not just 1): </span>
<span>3 x 5.9 × 10^12 miles </span>
<span>≈ 18 × 10^12 miles </span>
<span>≈ 1.8 × 10^13 miles </span>
<span>Next divide by the speed to get the time (in hours). </span>
<span>t = 1.8 × 10^13 miles / 17000 miles/hour </span>
<span>convert the speed to scientific notation: </span>
<span>t = 1.8 × 10^13 / 1.7 x 10^4 </span>
<span>t = (1.8 / 1.7) × (10^13 / 10^4) <-- when dividing powers with the same base, subtract the exponents </span>
<span>t ≈ 1.1 × 10^9 </span>
<span>convert that back to standard notation. </span>
<span>Answer: </span>
<span>1,100,000,000 hours (P.S. That is about 120,000 years).
Hope this helps!!!</span>
Answer:
3
Step-by-step explanation:
to find side length of squares take square root of areas
first square side length: 9
second square side length: 6
difference between 9 and 6 is subtraction, 9-6=3
Answer is -7
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Work Shown:
s_n = a_1*(1-r^n)/(1-r)
s_6 = a_1*(1-r^6)/(1-r)
s_6 = x*(1-(-3)^6)/(1-(-3))
s_6 = x*(1-729)/(1+3)
s_6 = x*(-728)/4
s_6 = x*(-182)
s_6 = -182x
-182x = s_6
-182x = 1274
x = 1274/(-182)
x = -7 is the first term of the geometric sequence
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Extra info:
The first six terms of this geometric sequence is
-7, 21, -63, 189, -567, 1701
those six terms add to
-7+21+(-63)+189+(-567)+1701 = 1274
which verifies we have the right answer.
Answer:
Step-by-step explanation:
There are both positive and negative values to substitute for x in x2 = 9. In the positive numbers, 32 = 9, so x = 3 is a solution. In the negative numbers, -32 = 9, so x = -3 is also a solution. The solutions for x2 = 9 are 3 and -3.
See the attached picture:
