Answer:
126 apples
Step-by-step explanation:
Let the number of apples picked by Mary=m
Cindy picks 6 times as many as Mary= 6Xm=6m
John picks 8 times as many as Mary= 8Xm=8m
Altogether they picked a total of 135 apples.
m+6m+8m=135
15m=135
m=135/15
m=9
We want to determine how many apples John and Cindy Picked.
John Picked 6m apples
Cindy Picked 8m apples
Their combined total= 6m+8m =14m
Since m=9
14m =14 X9 =126 apples
John and Cindy picked a total of 126 apples
In word problems on topics of trigonometry, the terms of angle of depression and angle of elevation are very common. The angle of depression is used when the observer is above the point of reference. The angle made from the observer to the object is the angle of depression. To understand more clearly, refer to the attached picture.
Suppose the dog is on the top vertex of the triangle while the cat is the rightmost corner of the triangle. The angle denoted as x° is the angle of depression. To determine this, we use the tangent function. The tangent of an angle is the ratio of its opposite side to its adjacent side.
tanx° = 16/4.5
x = 74.29°
Answer:
m = (y2 - y1) / (x2 - x1) = (10 - 6) / (-1 - (-6)) = 4 / 5 = 0.8
Answer:
- 5 min: 3,029,058
- 10 min: 3,398,220
- 60 min: 10,732,234
Step-by-step explanation:
The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).
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<h3>5 minutes</h3>
The number of bacteria present after 5 minutes is about ...
f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058
<h3>10 minutes</h3>
The number of bacteria present after 10 minutes is about ...
f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220
<h3>60 minutes</h3>
The number of bacteria present after 60 minutes is about ...
f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234