Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk
<em><u>Solution:</u></em>
Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street
She knows that about 20% of the signatures will not be valid for a variety of reasons
Let "x" be the number of signatures
invalid signature = 20 % of x
valid signatures = 240
Then, according to question,
total number of signatures - invalid signatures = 240
x - 20 % of x = 240

Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk
Answer:

Step-by-step explanation:
My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

where the 2 in the denominator of the radical is the leading coefficient.
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You can also use other clues:
- the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
- the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.
The first answer choice is the only one with values symmetrical about -2 and one of them positive.
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You may be expected to use the quadratic formula:

Answer:
B
Step-by-step explanation:
600+12000+12000+35000=59600
Answer:
a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists.
Step-by-step explanation:
A sequence is a pattern; it is an ordered list of numbers. A series, however, is the sum of a sequence.
A convergent series is a series for which the sequence of its partial sums tends to a limit; this means the limit exists. A divergent series is a series that is not convergent.
Answer:
It is given that the volume of a cone =
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=


It is given that the height is 'x' units.
Therefore, 

Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.