The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.
<h3>What is average height?</h3>
The average height is the ratio of change in height of the plant and the time taken taken for that change.
Given is the height of a plant in centimeters is modeled as a function of time, in days.
For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is
height per day = 42 - 18/ 20 -0
height per day = 1.2 cm/day
Thus, the average height of plant is 1.2 cm/day.
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Answer:
646.04 cm³
Step-by-step explanation:
<u>Cube volume formula:</u>
V=l*w*h
V=8*8*8
V=512
<u>Hemisphere volume formula:</u>
V=(4/3πr³)1/2
V=(4/3π4³)1/2
V=128/3
<u>Add both together</u>
128/3 + 512 ≈ 646.04cm³
Answer:
Distance between the two planes after 1 hour = 410 miles
Step-by-step explanation:
Given - A plane leaves and flies due north at 280 miles per hour. At
the same time another plane takes off from the same airport
and flies due east at a speed of 300 miles per hour.
To find - What is the distance between the two planes after 1 hour ?
Proof -
Given that , Plane 1 flies due north at a speed of 280 miles per hour.
So,
Total distance traveled in 1 hour = 280 miles
Also,
Plane 2 flies due east at a speed of 300 miles per hour.
So,
Total distance traveled in 1 hour = 300 miles.
The diagram is as follows :
Now,
We have to find the distance after 1 hour i.e. AC
In Triangle ABC ,
By using Pythagoras theorem, we get
AC² = BC² + AB²
⇒AC² = (300)² + (280)²
⇒AC² = 90,000 + 78,400
⇒AC² = 168,400
⇒AC = √168,400
⇒AC = 410.366 ≈ 410
∴ we get
Distance between the two planes after 1 hour = 410 miles
<h2><u>Answers and Explanation</u></h2>
<u>(a) Betty’s expression:</u>
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
cost of the venue = 80
Total cost =<em> 10x + 10x + 10x + 80</em>
<u>(b) Dawnie’s expression:</u>
Cost of the location = $80
Number of guests = x + x + x
Cost of all guests = $10(x + x + x)
Total cost = <em> 10(x + x + x) + 80</em>
<u>(c) Joan’s expression:</u>
Cost of the location = 80
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
= x(10 + 10 + 10) ⇒ After factoring out x.
Total cost =<em> x(10 + 10 + 10) + 80</em>