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lord [1]
2 years ago
7

How does the exponential function f(x) = 2 · 3^x + 4 appear as a graph?

Mathematics
1 answer:
Ilya [14]2 years ago
3 0
I believe this is how that exponential function would look as a graph (if you need a better pic let me know)

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Number 8 only please
givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's \frac{27}{100}.

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: \frac{6.8}{?} =\frac{27}{100}

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

\frac{6.8}{x} =\frac{27}{100}

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

680=27x

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

25.185185...=x

I'm gonna round that for simplicity's sake, because 185 repeats.

25.2=x

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

\frac{20.1}{25.2} =\frac{x}{100}

x being the percent we're solving for.

Cross-multiply again:

2010=25.2x

Divide both sides by 25.2:

79.761904761904...=x

Then round for simplicity's sake:

79.76=x

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0
3 years ago
Hi, can somebody pretty please help me? Thank you!
dybincka [34]

Answer:

Honey, I don't know what you need help with. Nothing is linked.

Step-by-step explanation:

4 0
3 years ago
I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
diamong [38]

Answer:

there are no instructions

Step-by-step explanation:

pls fix ur question

7 0
3 years ago
Read 2 more answers
Find the area of the shaded region. Round your answer to the nearest hundredth.
vampirchik [111]

Answer:

90-90.000 or 90-100

Step-by-step explanation:

7 0
3 years ago
The price tag on a pair of pants Anthony plans to buy says $37.50. The store
timofeeve [1]

Answer:

hope that was help full

Step-by-step explanation:

price of the

pants after a 9% sales tax is 37.50/40=*100=answer

you can calcolate it your self

3 0
2 years ago
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