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1 year ago

Jason solved the following equation to find the value for x.

Mathematics

1 answer:

Ainat [17]1 year ago

5 0

Plug in 6.5 for x.
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78

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Diamonds have a higher monetary value than water because:

Ganezh [65]

Diamonds are much less abundant (common) compared to water

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3 years ago

During a birthday party, 1/4 drank fanta orange, 1/3 took coca cola 1/5 of the remainder drank sprite and the rest took krest wh

Licemer1 [7]

Answer:

1/12

Step-by-step explanation:

Since 1/4 drank fanta orange and 1/3 took coca cola, the. remainder will be:

= 1 - (1/4 + 1/3)

= 1 - 7/12

= 5/12

Therefore, 1/5 of the remainder drank sprite, the fraction that drank sprite will be:

= 1/5 × 5/12

= 1/12

3 0

2 years ago

Find the area. Please help

Nutka1998 [239]

The answer to your question is 77 because the formula for area for a triangle is A=1/2BH and the base is 11 feet and the height is 14 feet. So, (14•11)/2 is 77. Therefore, 77 squared feet is the answer.

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

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2 years ago

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2 years ago