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3 years ago

14

Find the slope from the following

2 answers:

Kobotan [32]3 years ago

8 0

Answer: the slope = -2

Step-by-step explanation: Look at how x and y are changing from point to point. Judging by the graph, x is going over in a positive direction by 3 and y is going down by a negative 6. The slope is written as the change in y/the change in x, so if we insert the changes it is written as: -6/3. If we simplify this, it becomes: -2

Dmitrij [34]3 years ago

4 0

Slope = change in y over change in x

A. Slope = (9- -3)/(5-2) = 12/3 = 4

Slope = 4

B. (-13 -11)/(8- -4) = -24/12 = -2

Slope = -2

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algol13

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80*

Step-by-step explanation:

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2 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

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3 years ago

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Three times the sum of a number and two<br><br>3(2) + x<br><br>3(x+2)<br><br>3x + 2<br><br>2(x + 3)

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Answer:

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Step-by-step explanation:

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2 years ago