What is the slope of the points (-2,5) and (4,-6)?
1 answer:
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Answer:
7.789×10^-2 = 0.07789 cm
Step-by-step explanation:
Your calculator can find the difference of the two given diameters and express it in any format you like.
The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.
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The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.
8.83×10^-2 - 6.01×10^-3
= 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2
Alternatively, you can convert both numbers to standard form and do the subtraction that way.
8.83×10^-2 - 6.01×10^-3
= 0.0883 -0.00601 = 0.07789
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<em>Additional comment</em>
The second attachment shows the relationship between place values and their multiplier in scientific notation.
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The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).
Answer:
Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.
Step-by-step explanation:
Given:
Weight of 1 horse = 1,200 lb
Weight of trailer = 2,700 lb
Jacks'truck can tow a maximum of 5000 pounds.
To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.
Solution:
Let the maximum number of horses that Jack can take be =
Using unitary method to find weight of horses.
If 1 horse weights = 1,200 lb
Then horses will weight in lbs =
Total weight of horses and trailer in lbs =
Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:
Subtracting both sides by 2700.
Dividing both sides by 1200.
From the inequality solution for , we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.