The distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville. Write two equations

Question:

Which statement is accurate concerning the function’s discontinuities

A) There are gaps at x = 7 and.

B) Asymptotes exist at x = 7 and.

C) Asymptotes exist at x = –7 and.

D) Gaps are present at (–7, 0) and.

Answer:

B) Asymptotes exist at x = 7 and

Step-by-step explanation:

Given:

Goal:

Identify the correct statement

We need to factor the denominator first.

To express x in terms of (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

x - 7

x = 7

Next, evaluate the limit when and at (x = 7)

lim f(x) as = ±∞

lim f(x) as (x=7) = ±∞

Since both scenarios result in the denominator approaching zero, they represent asymptotes.

Thus, asymptotes are found at and x=7

Option B is determined to be correct

Provided the details regarding the sale prices of baseball cards from the 1960s:

It's established that they display a skewed-right distribution

The average sale price is $5.25

The standard deviation measures $2.80.

If we draw a random sample of 100 cards from that era:

The distribution will be Normal

The mean will remain at $5.25

The standard error turns out to be $0.28

Let

s--------> denote the cube's side length

We know that

the volume of a cube is calculated as

if the side length s measures

then

and thus, the volume is defined as

This leads us to conclude

the correct option is

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

Answer:

It could either be 455 or 680, based on assumptions.

Step-by-step explanation:

Assuming the three choices are distinct, we can calculate...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to create the pizza.

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In the case where two or more of the toppings may be identical, this would lead to...

  2(15C2) + 15C1 = 2·105 + 15 = 225

additional combinations, resulting in a grand total of...

  455 + 225 = 680

unique pizza varieties.

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There is a multiplication factor of 2 for the two-topping selections, since it allows for variations like double anchovies and tomatoes or double tomatoes and anchovies when the topping choices are anchovies and tomatoes.

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nCk = n!/(k!(n-k)!)