0.05 of a pound is equivalent to 1/20 of a pound in fraction form. This can be obtained by converting the decimal 0.05 into a fraction.
The question is asking us to convert a decimal into a fraction. Specifically, you are asked what fraction of a pound is 0.05. To convert 0.05 into a fraction, we divide '5' (ignoring the decimal) by 100 (as there are 2 decimal places), which gives us 1/20. Therefore, 0.05 of a pound is equivalent to 1/20 of a pound in fraction form.
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y − 1 = 2(x + 2)
y − 13 = −2(x + 2)
y − 13 = 2(x + 4)
Answer:
y-1=2*(x+2)
Step-by-step explanation:
Answer: m=6.2t, 148.8 miles
Step-by-step explanation:
to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8
sorry if it's wrong
Step-by-step explanation:
To make the function f(x) = {sin(1/x), x ≠ 0; k, x = 0} continuous at x = 0, we need to find the value of k that ensures the limit of f(x) as x approaches 0 exists and is equal to k.
First, let's find the limit of sin(1/x) as x approaches 0:
lim(x -> 0) sin(1/x)
This limit does not exist because sin(1/x) oscillates wildly as x gets closer to 0. Therefore, in order for the function to be continuous at x = 0, we need to choose k such that it compensates for the oscillations of sin(1/x) as x approaches 0.
A suitable choice for k is 0 because the limit of sin(1/x) as x approaches 0 is undefined, and setting k = 0 ensures that f(x) becomes a continuous function at x = 0.
So, the correct choice is:
d. None (k = 0)
The value of k that would make the function f(x) = sin(1/x) when x ≠0 and f(x) = k when x=0 continuous at x=0 doesn't exist. This is because the limit of sin(1/x) as x approaches 0 is undefined, hence the function cannot be made continuous at x = 0 for any value of k.
To find the value of k that makes the function continuous at x=0, we can apply the definition of continuity, which states that a function, f(x), is continuous at a certain point, x0, if three conditions are met:
In the case of the function f(x) = sin(1/x), the value for x = 0 is undefined, but we've been given that f(0) = k. To make the function continuous at x = 0, the value of k should ideally be equal to the limit of sin(1/x) as x approaches 0.
However, as x approaches 0, sin(1/x) oscillates between -1 and 1, making the limit non-existent. Because the limit does not exist, the function is not continuous at x=0 no matter the chosen value of k. Therefore, the correct answer is (d) None.
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Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)
Answer:
0, 130, -9.9 I think
Step-by-step explanation:
Hope this helped!