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andrey2020 [161]
3 years ago
11

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clo

ck in the afternoon?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

im kinda sure the answer is 120 degrees

Step-by-step explanation:

but maybe not

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(x-2)e2/3=49<br><img src="https://tex.z-dn.net/?f=%28x%20-%202%29%20%5E%7B2%20%5Cdiv%203%7D%20%20%3D%2049%20" id="TexFormula1" t
fredd [130]

\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345

4 0
3 years ago
A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded
Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = \frac{3,500}{450} = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0
3 years ago
The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa
horsena [70]

Answer:

7.2 years

Step-by-step explanation:

f(t) =200(1 - 0.956e^{-0.18t})

where f(t) is the length and t is the number of years old

given the Mike measures 148 cm, we need to find out the age

So we plug in 148 for f(t) and solve for t

148 =200(1 - 0.956e^{-0.18t})

divide both sides by 200

\frac{148}{200} = 1 - 0.956e^{-0.18t}

Now subtract 1 from both sides

-0.26= - 0.956e^{-0.18t}

Divide both sides by -0.956

\frac{0.26}{0.956} =e^{-0.18t}

Now take ln on both sides

\frac{0.26}{0.956} =e^{-0.18t}

ln(\frac{0.26}{0.956} )=-0.18tln(e)

ln(\frac{0.26}{0.956} )=-0.18t

divide both sides by -0.18

t=7.2

So 7.2 years

5 0
3 years ago
A box is filled with 5 blue cards, 6 yellow cards, and 3 brown cards. A card is chosen at random from the box. What is the proba
mars1129 [50]

4/7 of a chance.  There are a total of 14 cars.  6 are yellow.  8 are not.  8/14 of the cards are not yellow.  8/14 simplifyed= 4/7.

4 0
3 years ago
Read 2 more answers
Help?? LOL I’m literally so confused
Gennadij [26K]

Answer:

1

Step-by-step explanation:

8-7=1

8 0
3 years ago
Read 2 more answers
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