Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below
. Which two statements describe the errors Stephen made? (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). (6.34 times 4.5) (10 Superscript negative 7 Baseline times 10 Superscript 3 Baseline). 28.53 times 10 Superscript negative 4 Baseline. Negative 28.53 times 10 Superscript 4 Baseline. Negative 2.853 times 10 Superscript 3 Baseline.
2 answers:
Answer:
The step 4 and 5 describe the errors Stephen made.
Step-by-step explanation:
Given : Stephen evaluated
. His work is shown below.
To find : Which two statements describe the errors Stephen made?
Solution :
Step 1 - ![(6.34\times 10^{-7})(4.5\times 10^3)](https://tex.z-dn.net/?f=%286.34%5Ctimes%2010%5E%7B-7%7D%29%284.5%5Ctimes%2010%5E3%29)
Step 2 - ![(6.34\times 4.5)(10^{-7}\times 10^3)](https://tex.z-dn.net/?f=%286.34%5Ctimes%204.5%29%2810%5E%7B-7%7D%5Ctimes%2010%5E3%29)
Step 3 - ![(28.53)(10^{-4})](https://tex.z-dn.net/?f=%2828.53%29%2810%5E%7B-4%7D%29)
Step 4 - ![28.53\times 10^{4}](https://tex.z-dn.net/?f=28.53%5Ctimes%2010%5E%7B4%7D)
Error is the step as 4 sign is negative.
So correct step is ![28.53\times 10^{-4}](https://tex.z-dn.net/?f=28.53%5Ctimes%2010%5E%7B-4%7D)
Step 5 - ![28.53\times 10^{3}](https://tex.z-dn.net/?f=28.53%5Ctimes%2010%5E%7B3%7D)
Error is the step as there is 4 in place of 3.
So correct step is ![28.53\times 10^{-4}](https://tex.z-dn.net/?f=28.53%5Ctimes%2010%5E%7B-4%7D)
The step 4 and 5 describe the errors Stephen made.
Answer:
D and E
Step-by-step explanation:
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The nth term of the arithmetic series is given by
![a_n=-5(n-1)+8](https://tex.z-dn.net/?f=%20a_n%3D-5%28n-1%29%2B8%20)
Now find the first five terms ![a_1, a_2, a_3, a_4, a_5:](https://tex.z-dn.net/?f=%20a_1%2C%20a_2%2C%20a_3%2C%20a_4%2C%20a_5%3A%20%20)
![a_1=-5(1-1)+8=8](https://tex.z-dn.net/?f=%20a_1%3D-5%281-1%29%2B8%3D8%20)
![a_2=-5(2-1)+8=3](https://tex.z-dn.net/?f=%20a_2%3D-5%282-1%29%2B8%3D3%20)
![a_3=-5(3-1)+8=-2](https://tex.z-dn.net/?f=%20a_3%3D-5%283-1%29%2B8%3D-2%20)
![a_4=-5(4-1)+8=-7](https://tex.z-dn.net/?f=%20a_4%3D-5%284-1%29%2B8%3D-7%20)
![a_5=-5(5-1)+8=-12](https://tex.z-dn.net/?f=%20a_5%3D-5%285-1%29%2B8%3D-12%20)
Thus the first five terms of the series is ![8,3,-2,-7,-12.](https://tex.z-dn.net/?f=%20%208%2C3%2C-2%2C-7%2C-12.%20%20)
Now find the partial sum of the series:
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![S_2=a_1+a_2=8+3=11](https://tex.z-dn.net/?f=%20S_2%3Da_1%2Ba_2%3D8%2B3%3D11%20)
![S_3=a_1+a_2+a_3=8+3-2=9](https://tex.z-dn.net/?f=%20S_3%3Da_1%2Ba_2%2Ba_3%3D8%2B3-2%3D9%20)
![S_4=a_1+a_2+a_3+a_4=8+3-2-7=2](https://tex.z-dn.net/?f=%20S_4%3Da_1%2Ba_2%2Ba_3%2Ba_4%3D8%2B3-2-7%3D2%20)
![S_5=a_1+a_2+a_3+a_4+a_5=8+3-2-7-12=-10\\](https://tex.z-dn.net/?f=%20S_5%3Da_1%2Ba_2%2Ba_3%2Ba_4%2Ba_5%3D8%2B3-2-7-12%3D-10%5C%5C%20%20)
$2,10 / mile
$5 - tip
$49,10 - total
x - <span>the distance in miles
</span>
![2,10*x + 5 = 49,10\\ 2,10*x=44,10\\ x=21](https://tex.z-dn.net/?f=2%2C10%2Ax%20%2B%205%20%3D%2049%2C10%5C%5C%0A2%2C10%2Ax%3D44%2C10%5C%5C%0Ax%3D21)
<span>Distance between airport and Ann's home is 21 miles.
</span>
Maja
You answer is 25 times 24 which is 600. C
Answer:
x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis
Step-by-step explanation:
Answer:
44%
Why? Because there is only 4 of each and you have so many more chances to pull a different card.