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pychu [463]
3 years ago
15

For non-zero denominators, simplify:

"TexFormula1" title="\frac{3a^3-75a}{a(a+5)(a+5)}" alt="\frac{3a^3-75a}{a(a+5)(a+5)}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
\frac{3a^3-75a}{a(a+5)(a+5)}=\frac{3a(a^2-25) }{a(a+5)(a+5)}=\frac{3a(a - 5)(a+5) }{a(a+5)(a+5)} =\frac{3 (a - 5) }{ (a+5) }


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Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than
coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

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x = 2.8

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8 0
3 years ago
Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He
Masteriza [31]
Original Ratio of 1 in = 7 ft so 3 in = 21 ft
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7 0
3 years ago
Read 2 more answers
**view image**
vladimir1956 [14]

The chart has been completed in the picture attached.

Step-by-step explanation:

Step 1:

It is given that the number of bacteria doubles every 6 hours.

So if there are 1 million now, in 6 hours there would be double that i.e. 2 million and it will go on.

Step 2:

As the first column says the number of 6-hour periods, the second column is the actual number of hours.

So the second column is multiples of 6 so the second column is filled with;

0, 6, 12, 18, 24, 30, 36, 42 and 48.

Step 3:

The current population is calculated by multiplying the previous population by 2.

For 0 hours, the population = 3 million,

For 6 hours, the population = 2(3) = 6 million,

For 12 hours, the population = 2(6) = 12 million,

For 18 hours, the population = 2(12) = 24 million,

For 24 hours, the population = 2(24) = 48 million,

For 30 hours, the population = 2(48) = 96 million,

For 36 hours, the population = 2(96) = 192 million,

For 42 hours, the population = 2(192) = 384 million, and

For 48 hours, the population = 2(384) = 768 million.

So at the end of 48 hours, there will be approximately 768 million bacteria on the pinhead.

8 0
3 years ago
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat
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Y=360(0.003)x because

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2. A

Step-by-step explanation:

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