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sesenic [268]
3 years ago
15

The local library charges 6 cents for each day a book is overdue plus a one-time record keeping fee of 19 cents. the function ta

ble below shows the relationship between the number of days a book was overdue and the total penalty in cents.
what would be the total penalty for a book that was 37 days overdue?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
B. 241
Because (6•37)+19=222+19=241 cents
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My question is this can you help me​
jok3333 [9.3K]

Answer:

It's 1/4

Step-by-step explanation:

It's closer to 0 than the other fractions

4 0
2 years ago
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Resolver:
Dafna1 [17]
Aquí está las respuestas y el trabajo de cada una, si tienes alguna pregunta me envías un mensaje o un comentario

3 0
2 years ago
Please help!<br> thankjs
olga_2 [115]

Answer:

20th: 100 nth: 5

Step-by-step explanation:

the table is multiplying by 5

so 5 × 20 = 100

8 0
3 years ago
Need some help with 2 (Geo)​
MrRissso [65]
ans:A (60)
as it is opposite to 60degree and the theory of this is same with opposite number
8 0
3 years ago
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