Alex swims at an average speed of 45 m/min. How far does he
swim in 1 min 24 sec?
m

63 m

Step-by-step explanation:

We know the rate in 45 m / min

We need to change the time to min

1 min 24 sec

We know that 1 min = 60 sec  so 24 seconds is 24/60 ths of a minute

1 min 24/60 min

1 2/5 min

Changing to decimal form

1.4 minutes

Now we multiply by the rate to get the distance

d = r *t

d = 45 m/ min * 1.4 min

d= 63 m

146%

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: