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Irina-Kira [14]
3 years ago
8

The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month

Mathematics
1 answer:
suter [353]3 years ago
7 0
Gg bro how about your last name
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Simplify the expression:<br> sinx+cosx/sinxcosx
Keith_Richards [23]
Sin x + \frac{cos x}{sinx cosx}
= sinx + \frac{1}{sin x}
=sin^{2}x +1
=cos^{2} x 
6 0
3 years ago
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
You have a recipe that indicates to use 2 parts of flour for every 5 parts of milk. You use 8 cups of flour. How much milk do yo
Drupady [299]

Answer:

20, thats what is in your little box so that should be the answer

3 0
3 years ago
Read 2 more answers
What is the solution set of 4x 2 - 36 = 0?
Katena32 [7]
4x2-36=0
+36 +36
4x2=36
Divide by 4
X2=9
Square root of x2 is x and the square root of 9 is 3
X=3
6 0
3 years ago
Read 2 more answers
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Keven is buying a handbag priced at 220
marshall27 [118]

Keven paid a sales tax of $ 18.15 for handbag purchase

<em><u>Solution:</u></em>

Given that stores charge a 4.6% state sales tax and a 3.65% county sales tax

Keven is buying a handbag priced at 220 before tax

To find: Sales tax paid by Keven

Sales tax amount = state sales tax amount + country sales tax amount

<em><u>Finding state sales tax amount:</u></em>

stores charge a 4.6% state sales tax which means 4.6 % of $ 220

state sales tax amount = 4.6 % of 220

\text{ state sales tax amount }= \frac{4.6}{100} \times 220

\text{ state sales tax amount }= 0.046 \times 220 = 10.12

Thus state sales tax amount is $ 10.12

<em><u>Finding country sales tax amount:</u></em>

Store charges a 3.65% of country sales tax which means 3.65% of $ 220

Country sales tax = 3.65 % of 220

\text{ Country sales tax } = \frac{3.65}{100} \times 220\\\\\text{ Country sales tax } = 0.0365 \times 220 = 8.03

Thus country sales tax = $ 8.03

<em><u>Now let us add both amount to get total tax paid by Keven</u></em>

Sales tax amount = state sales tax amount + country sales tax amount

Sales tax amount = $ 10.12 + $ 8.03 = $ 18.15

Therefore Keven paid a sales tax of $ 18.15 for handbag purchase

4 0
3 years ago
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