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3 years ago

Don’t understand please help asap

Mathematics

1 answer:

IceJOKER [234]3 years ago

3 0

First you have to solve both inequalities,

3x-1>8

3x>9

x>3

and the other one

2x≤4

x≤2

then you graph each one on the number line

the graph says or, so the solution can satisfy either equation

the solution would be all real numbers except three

the way to write it is x≠3

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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

1 year ago

(2/3 + 3/4) × (3/6 + 4/9)<br><br>

melisa1 [442]

Answer:

289/216

Step-by-step explanation:

add the parentheses first

(2/3+3/4)×(3/6+4/9)=

17/12×17/18

then multiply

17/12×17/18=

286/216

5 0

2 years ago

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to make one dozen muffins 3/4 cup of blueberries will be needed how many cups of blueberries ared needed to make 48 muffins

Helga [31]

You will need 6/4 or 1 1/2 cups of blueberries to make 48 muffins (2 dozen),

6 0

2 years ago

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Evaluate the double integral. . ∫∫ y sqrt(x^2-y^2) dA, R={(x,y)|0≤y≤x, 0≤x≤1}. R. . Please explain

polet [3.4K]

First we will evaluate: ( substitution: u = x² - y², du = - 2 y dy )
$\int\limits^x_0 {y \sqrt{ x^{2} - y^{2} } } \, dy= \\ \frac{-1}{2} \int\limits^x_0 { u^{1/2} } \, du =$
= $\frac{-1}{3} \sqrt{ (x^{2} - y^{2} ) ^{3} }$ ( than plug in x and 0 )
= $- \frac{1}{3} ( \sqrt{( x^{2} - x^{2}) ^{3} } - \sqrt{ (x^{2} -0 ^{2} ) ^{3} }$ =
= 1/3 x³ ( then another integration )
$1/3\int\limits^1_0 { x^{3} } \, dx = 1/3 ( x^{4}/4)}= 1/3 ( 1 ^{4}/4 - 0^{4} /4 )$
= 1/3 * 1/4 = 1/12

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2 years ago

PLEASE HELP ME I NEED THIS DONE TODAY!!!

LUCKY_DIMON [66]

Answer:

kwanza sielewi kwanini swali hili ni refu pia ikiwa unaweza kuelewa hii sema mama juu ya miamba bila kutumia google

Step-by-step explanation:

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3 years ago

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