Answer:
4 chocolates
Step-by-step explanation:
Before Luke started eating, there were 8. This is 2/3 of what Sara had to start with, so she started with 12. That is 3/4 of what Mike started with, so he started with 16.
Jill left 4/5 of what she started with, so she must have started with 20. Jake ate 1/6 and left 5/6, so 20 is 5 times the number Jake ate.
Jake ate 4 chocolates.
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Jill ate 4; Mike ate 4; Sara ate 4; and Luke ate 4.
Answer: To find the answers to this item, we are to arranged the given data points in increasing order. The arrangement would be,
97, 163, 169, 175, 184, 199
The lower quartile is the median of the lower half of the data points. In this case, 97, 163, 169. The median is equal to 163.
The upper quartile is the median of the upper half of the data points. In this case, 175, 184, 199. The median is equal to 184.
Hence, the answers to this item is that lower quartile is equal to 163 and upper quartile is equal to 184. The first option.
Step-by-step explanation:
Answer:
1) - 2 / (cos x + sinx)^2.
Step-by-step explanation:
1) I assume you want the derivative of (cos x - sin x) / ( cos x + sin x).
y' = (cosx + sinx)( -sinx - cosx) - (cosx - sinx)(-sinx + cosx)
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(cosx + sinx)^2
= -sinxcosx - cos^2x - sin^2x - sinxcosx - (-sinxcosx+cos^2x+sin^2x-sinxcosx
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(cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= - 2 / (cos x + sinx)^2.
The radius of the hemisphere is 9.5 inches.
The diameter of the hemisphere is 19 inches.
The surface area of the hemisphere is 850.2 inches²
<h3>How to find the surface area of an hemisphere?</h3>
circumference of a circle = 2πr
where
Therefore,
19π = 2πr
2r = 19
r = 19 / 2
r = 9.5 inches
diameter = 9.5 × 2 = 19 inches
Therefore,
surface area of an hemisphere = 3πr²
surface area of an hemisphere = 3 × 3.14 × 9.5²
surface area of an hemisphere = 850.155 inches²
surface area of an hemisphere = 850.2 inches²
learn more on hemisphere here: brainly.com/question/14076143
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