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AleksAgata [21]

3 years ago

14

It takes 1.5 hours for jayson to mow a lawn. Linda can mow the same lawn in 2hrs. How long with it take them, working together,

to mow the lawn?

1 answer:

Nataly [62]3 years ago

8 0

1.75 hours, add them up and divide by two and you get your answer

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What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:

trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{9 - 6}{-3 - (-9)}$

<u>Simplify the expression</u>

$m = \frac{3}{-3 + 9}$

$m = \frac{3}{6}$

$m = \frac{1}{2}$

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

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2 years ago

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Plutonium-240 decays according to the function Q(t) = Qoe^-kt

LuckyWell [14K]

Answer:

9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

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Q(t) = 12 = 36e^(-0.00011t)

1/3 = e^(-0.00011t) . . . . . . divide by 36

ln(1/3) = -0.00011t . . . . . . take natural logs

t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

t ≈ 9990 . . . years

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Let's take any edge length l. The diagonal has length $l\sqrt3$ . In our case it's $25\sqrt3$

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