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Cloud [144]
4 years ago
6

Does anyone know the answer to the table below?

Mathematics
1 answer:
oee [108]4 years ago
6 0

Hey there! :)

Answer:

16 minutes.

Step-by-step explanation:

Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in values from the table into the equation:

m = \frac{64 - 40}{9 - 5}

Simplify:

m = \frac{24}{4}

m = 6.

Plug in the slope and a point from the table into the equation

y = mx + b

40 = 6(5) + b

40 = 30 + b

40 - 30 = b

b = 10.

Rewrite the equation:

y = 6x + 10

To solve for how long it took her to ride 1 km, plug 1 into the equation:

y = 6(1) + 10

y = 6 + 10

y = 16 minutes.

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What is the monomial if a square of a monomial is: 1/4 a2n
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Answer:

\frac{1}{2} a^n

Step-by-step explanation:

Square of the monomial is \frac{1}{4}a^{2n}

To get the monomial we take square root

Lets take square root for each term

\sqrt{\frac{1}{4}a^{2n}}

\sqrt{\frac{1}{4}}=\fract{1}{2} because square root of 4 is 2

\sqrt{a^{2n}}=(a^{2n})^\frac{1}{2}

2/2 is 1 so, its a^n

Required monomial is  \frac{1}{2} a^n


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