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3 years ago

6

chelsea's little brother packs 7 toys. if each toy weighs 1 3/4 ounces how any ounces does his baa weigh

2 answers:

Lyrx [107]3 years ago

5 0

You just have to multiply 7 and 1 3/4 and you get 12.25 ounces

~Hope I Helped

Gemiola [76]3 years ago

4 0

1 3/4 ounces= 1.75 1.75 x 7= 12.25 ounces is what the bag weighs hope this helps

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Step-by-step explanation:

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3 years ago

What is the range of the function below in set builder notation? y=|x-3|

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3 years ago

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2 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

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This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

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$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

So

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

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The population in 40 years will be 1220.

7 0

4 years ago

Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote

xz_007 [3.2K]

Answer:

x=-2.5 if the function is $f(x)=\frac{8x-3}{-4x-10}$

Step-by-step explanation:

$y=\frac{8x-3}{-4x-10}$ has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

or

x=-2.5 (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

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3 years ago