Hey there!
When we put a number in scientific notation, we want the first number to be at least 1 and less than 10. There must be a digit from 1-9 in the ones place.
With the number 0.000015, we can move the decimal place 5 places to the right and we have 1.5, which is more than one and less than ten.
Because we moved the decimal place 5 places to the right, 1.5 is multiplied by 10 to the power of -5.
The 5 is the number of places the decimal is moved, and the negative sign is because we moved it to the right.
10^(-5) is the same as 0.00001, just for context.
So, 0.000015 meters in scientific notation is 1.5 x 10^(5) meters.
Hope this helps!
<span>h = -8t² + 40t
dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s
So it takes 2.5 seconds to reach highest point
h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
</span>
The regression equation based on the information given about the sugar contents will be 0.18x - 20.84.
<h3>How to explain the regression?</h3>
It should be noted that from the information, the accompanying data are the caloric contents and the sugar contents of 11 high-fiber breakfast cereals.
The sugar content will be:
a. 160 calories
= 0.18x - 20.84.
= 0.18(160) - 20.84
= 7.96
b. 90 calories
= 0.18x - 20.84.
= 0.18(90) - 20.84
= -4.64
c. 175 calories
= 0.18x - 20.84.
= 0.18(175) - 20.84
= 10.66
d. 208 calories
= 0.18x - 20.84.
= 0.18(208) - 20.84
= 16.6
Therefore, the sugar contents is illustrated above.
Learn more about regression on:
brainly.com/question/25987747
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3 15/16. ( I hope you know how to write it)