90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.
The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.
<h3>How to determine the hourly percent growth rate?</h3>
The value of b is given as:
b = 1.85%
Let the hourly percent growth rate of the bacteria be r.
So, we have:
b = 1 + r
Substitute b = 1.85%
1.85 = 1 + r
Subtract 1 from both sides
r = 0.85
Express as percentage
r = 85%
Hence, the hourly percent growth rate of the bacteria would be 85%.
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Using translation concepts, it is found that the new intercepts are given as follows:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
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Answer:
There are 200 centimetres in 2 metres. Therefore, 80 centimetres is equal to 80/200 x 100 = 40 percent of 2 metres
Answer:
7/12
Step-by-step explanation:
total: 12 roses
white roses: 5
pink roses: 7
fraction of pink roses = 7/12