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3 years ago

Which Relation is a function

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

8 0

Answer:

the top left picture is a function

Step-by-step explanation:

it is a function because the line does not go over the same x-value more then once.

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A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled

liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0

3 years ago

A book sold 41,900 copies in its first month of release. Suppose this represents 8.1% of copies sold to date. How many copies ha

babymother [125]

517284 books have been sold to date.

Step-by-step explanation:

Given,

Copies sold in first month = 41900

This represents 8.1% of copies sold to date.

Let,

x be the number of copies that have been sold to date.

8.1% of x = 41900

$\frac{8.1}{100}*x=41900\\0.081x=41900\\$

Dividing both sides by 0.081

$\frac{0.081x}{0.081}=\frac{41900}{0.081}\\x=517283.95$

Rounding off to nearest whole number

x = 517284

517284 books have been sold to date.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago

10 of the x power= 100000000

zheka24 [161]

Answer:

x=8

Step-by-step explanation:

5 0

3 years ago

Look below <br> plzzzzz n thanks

NNADVOKAT [17]

Answer:

Step-by-step explanation:

i actually dont know i just guessed

5 0

3 years ago

-1.1x + 8.1x + 38 = -32

Setler79 [48]

X = -10

Explanation:

-1.1x + 8.1x + 38 = -32

Combine like terms : -1.1x + 8.1x

7x + 38 = -32

Subtract 38

7x = -70

Divide by 7

7x = -70/7

Answer:

x = -10

8 0

3 years ago

Read 2 more answers