<span>D) 9.0 x 10^10 km
This is more an exercise in handling scientific notation than anything else. Since we have the distance that light travels in 1 second and we want to calculate how far it travels in 5 minutes, we must first calculate how many seconds are in 5 minutes. Simply multiplying 5 by 60 gives us 300 seconds. Now we need to multiply 300 by 3.0x10^8 km. So
300 * 3.0x10^8 = ?
We could first convert 300 into scientific notion, but it's easier to just leave it along and assume that it's 300 x 10^0. So 300 times 3 is 900. And since 0 plus 8 is 8, we have as the answer:
900 x 10^8
But we're not done. The significand has to be greater than or equal to 1 and less than 10. So let's divide 900 by 100 and add 2 to the exponent. So we get
9 x 10^10
Finally, since our data had 2 significant figures, our result should have that as well. So let's add the 2nd digit getting:
9.0 x 10^10
So we know that light travels 9.0x10^10 km in 5 minutes, and that answer matches option "D" from the available choices.</span>
Answer:
b
Step-by-step explanation:
The probability (PB) is .4 or 4/10 or 2/5.
So, we'd do a proportion.
2/5=x/6
Cross multiply.
5x=12
Divide by sides by 5.
x=2.4
We round up to account for the .4
so b
I can't answer c right now, but I'll come back once my class is over :)
Answer:
2.5 pounds
Step-by-step explanation:
Let s represent the number of pounds of dried strawberries that should be added to the bananas. The total cost of the mixture will be ...
(2.50)(3) +(8.00)(s) = (5.00)(3 +s)
7.50 +8s = 15 +5s . . . . . . . eliminate parentheses
3s = 7.50 . . . . . . . . . subtract 7.50+5s
s = 2.50 . . . . . . divide by 3
2.5 pounds of dried strawberries should be added to make the mixture.
Answer:
-1280
Step-by-step explanation:
Given a₁ = -10, n = 8, r =2
Required to find nᵗʰ term.
From the general formula: aₙ= a₁ (r)ⁿ⁻¹
Therefore nᵗʰ = -10(2)⁸⁻¹
= -10(2)⁷
= - 10(128)
= - 1280
