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valkas [14]
3 years ago
8

The largest orange in a bag has the circumference of 9 5/8 inches. The smallest orange has a circumference

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

1.81 inches

Step-by-step explanation:

Given that,

The circumference of the largest orange in a bag is 9\dfrac{5}{8}\ \text{inches} and that of smallest orange is 7\dfrac{13}{16}\ \text{inches}.

Difference = largest orange - smallest orange

= 9\dfrac{5}{8}-7\dfrac{13}{16}\\\\=\dfrac{77}{8}-\dfrac{125}{16}\\\\=\dfrac{29}{16}\\\\=1.81\ \text{inches}

So,  difference of the circumferences of the smallest orange and the largest orange is 1.81 inches

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
PLZ HElP!!! Simplify 10 – 3x – 13 + 5x 3 – 3x 1 2x – 3 3 – 2x
777dan777 [17]

the answer to the first part is 2x-3

4 0
4 years ago
Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6
posledela

9514 1404 393

Answer:

  0

Step-by-step explanation:

The function is defined everywhere except at x=-6. The limit value is the function value at that point.

  f(6) = (6^2 -36)/(6 +6) = 0/12 = 0

The limit of the function is 0 as x → 6.

3 0
3 years ago
Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?
maxonik [38]
I believe is A and D or something
8 0
3 years ago
A vacuum had been marked down by 20% and solf for $250. What was the original price of the vacuum?
igomit [66]

Answer:

The original price was $312.50

Step-by-step explanation:

If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.

Let's set up an equation.

80/100 of x = 250

0.8 • x = 250

Divide both sides by 0.8.

x = 312.50

The original price was $312.50

Hope this helps!

7 0
3 years ago
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