Which shows two expressions that are equivalent to (–7)(–15)(–5)? (–7)(–75) and (–1)(525) (–1)(525) and (35)(–15) (35)(–15) and (115)(–5) (–1)(525) and (115)(–5)

(-1)(525) and (35)(-15)

Step-by-step explanation:

Here, the given expression is,

(-7)(-15)(-5),

Since, (-7)(-15)(-5) = -525   ( Because, (-) × (-) × (-) = (-) )

First option,

(-7)(-75) and (-1)(525)

= 525 and -525     ( Because, (-) × (-) = (+) and (-) × (+) = (-) )

⇒(-7)(-75)  ≠  (-7)(-15)(-5)

Second option,

(-1)(525) and (35)(-15)

= -525 and -525,

Thus, (-1)(525) =  (35)(-15) = (-7)(-15)(-5)

Third option,

(35)(-15) and (115)(-5)

= -525 and -575

⇒ -575 ≠  (-7)(-15)(-5)

Fourth option,

(-1)(525) and (115)(-5)

= -525 and -575

(115)(-5) ≠  (-7)(-15)(-5)

Hence, (-1)(525) and (35)(-15) are equivalent to the given expression.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}