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4 years ago

1. What is the value of f(3) and what does it represent in the context of this example?

Mathematics

1 answer:

Marysya12 [62]4 years ago

3 0

Answer/step-by-step explanation:

The graph of f(x) above is said to be the quantity of liquid a cylinder holds when poured into it at a given time, x.

This means the quantity of the liquid poured in the cylinder is a function of time.

f(x) values (quantity of liquid) are plotted on the y-axis, while x values (time) are plotted on the x-axis.

f(3) is the value at the y-axis when x = 3. Thus, when x = 3, y = 6.

Therefore, the value of f(3) = 6

f(3) = 6, represents the quantity of liquid poured in the cylinder at 3 seconds.

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Edger needs 6 cookies and 2 brownies for every 4 plates how many cookies and brownies does he need for 10 plates

evablogger [386]

Answer:

Edger needs 15 cookies and 5 brownies.

Step-By-Step:

6 + 6 + 3 = 15

2 + 2 + 1 = 5

4 can go into 10, 2.5 times

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3 years ago

Towns P,Q,R and S are shown. Q is 35 km due East of P S is 15km due West of P R is 15km due South of P Work out the bearing of R

Anni [7]

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that $\overline{RP}$ = $\overline{SP}$ , the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing from R to Q = 270 + 90 - 66.8 ≈ 293.2°

6 0

3 years ago

A leak in a water tank causes the water level to decrease by 3.6×10−2 millimeters each second. About how many millimeters does t

frutty [35]

The correct answer is 6.5 x 10^2.

We have the amount for 1 second. To convert to 5 hours, we need to multiply it by 60 and 60 and 5.

0.036 x 60 x 60 x 5 = 648

Or about 6.5 x 10^2

3 0

3 years ago

On a trip to a lake, Kerrie and Shelly rode their bicycles four more than three times as many miles in the afternoon as in the m

Natalija [7]

Answer:

27 miles in the morning and 85 miles in the afternoon.

Explanation:

Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression

3m+4

to represent the miles ridden in the afternoon.

Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:

m+3m+4 = 112

Combine like terms:

4m+4 = 112

Subtract 4 from each side:

4m+4-4= 112-4

4m = 108

Divide both sides by 4:

4m/4 = 108/4

m = 27

They rode 27 miles in the morning.

That means in the afternoon, they rode

3m+4 = 3(27)+4 = 81+4 = 85 miles.

5 0

3 years ago

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fgiga [73]

Answer:

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3 years ago