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3 years ago

5

5 steps of writing the equation of a line

1 answer:

likoan [24]3 years ago

3 0

Step 1: begin by writing the formula for slope intercept form
step2: substitute the given slope for X
step3: use the order pair you given (x,y) and substitute these values for the variables x and y in the equation
step4: solve for y ( y-intercept of the graph)
step5: rewrite the original equation in step 1 substituting the slope for x and the y-intercept for y

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Which of the following would be the best equation for the function of the values for Janet’s reading?

Airida [17]

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3 years ago

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3 years ago

The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?

Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

$N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}$

where,

$N(t)$ = quantity of the substance remaining

$N_0$ = initial quantity of the substance

$t$ = time elapsed

$t_{1/2}$ = half life of the substance

From the information given we know:

The initial quantity of silicone-32 is 30 g.
The time elapsed is 300 years.
The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

$N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g$

22.38 g of silicone-32 will be present in 300 years.

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3 years ago

The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim

Charra [1.4K]

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

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3 years ago

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skelet666 [1.2K]

The answer is (3,-1)

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3 years ago