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3 years ago

Calculate the rate of change from the graph below

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

Δy is the vertical change
Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = $\frac{3}{4}$ = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

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zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

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F_(11) = 4

F_(12) = 4

F_(13) = 3

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F_(16) = 2

F_(17) = 2

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F_(19) = 1

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We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

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3 years ago

Duncan takes a break from studying and goes to the gym to swim laps. If swimming burns 9.05×105 cal per hour, how many kilojoule

fgiga [73]

For this case we have to by definition:

1 kilojoule equals 0.239006 kilocalorie.

1 kilocalorie equals 1000 calories

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Now:

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3 years ago

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Gala2k [10]

Answer:

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Step-by-step explanation:

or, f(x) = -x^2+10x+16

or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)

=49-70+16

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3 years ago

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bagirrra123 [75]

Answer:

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