Answer: Felipe made 24 sand art bottles.
Step-by-step explanation:
Given: Total different colors of sand = 9
Weight of each color sand = 1 pound
Then, the weight of all 9 colors would be 9 × 1 = 9 pounds
Since 1 pound = 16 ounces
Then, 9 pounds = 9 × 16 = 144 ounces
capacity of each bottle = 6 ounce
Then, the number of bottles required = ( 144 ounces) ÷ 6
= 24
Hence, Felipe made 24 sand art bottles.
Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:
Calculating:
We are required to calculate the number of responses at day t=19, thus:
C(19)=12 responses
Lets say the number is 155:
100 + 50 + 5
one hundred and fifty-five
155
idk the last one tho
there should be only 3 ways, plz double check
Answer:
The GPA you earn in a particular semester is your Marginal GPA, and your cumalative GPA for all completed semesters is your average GPA.
Step-by-step explanation:
The height of the container that will be able to minimize the cost will be 3.08cm.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
Learn more about height on:
brainly.com/question/1557718
