Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
P(A) = 0.95
P(B) = 0.05
P(C) = 0.85
P(D) = 0.15
P(E) = 0.15
P(F) = 0.85
Step-by-step explanation:
Answer:
<em>The bee traveled 11.7 meters.</em>
Step-by-step explanation:
A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.
For <u>finding the total distance traveled, we need to just add</u> 840 cm and 330 cm.
So, 
We know that, 1 meter = 100 cm. That means, <u>for converting 'cm' into 'meter' , we need to divide by 100</u>.
Thus, 
So, the bee traveled 11.7 meters.
He grates 6/8 pounds of cheese in all.
For this problem, you just have to add the numerators and keep the denominators.
4/8 + 2/8 = 6/8.
Remember, if the denominator is the same, just add the numerator.
Answer:
Surface area of a cube = side * side * 6
632 = side * side * 6
side^2 = 632/6
side^2 = 105.3333333333
side = 10.2632028789
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For a 5 inch side
volume = 5 * 5 * 5
= 125 cubic inches
surface area = 5 * 5 * 6
surface area = 150 square inches
Step-by-step explanation:
