10 days ago

Daniel is looking over some data regarding the temperatures of countries and how the temperature relates to the number of mosqui

toes. The data are represented by the exponential function f(x) = 2x, where x is the number of mosquitoes. Explain how he can convert this equation to a logarithmic function when the temperature is 64 degrees.

Mathematics

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Sean is conducting an experiment with an isotope of a particular element that has a half life of 4 hours. He begins with a sampl

zzz [12365]

Response:

/??

Detailed explanation of the process:

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2 months ago

On his math test, Balavan wrote that a four-sided polygon that has at least two right angles must be a rectangle or a square. De

zzz [12365]

A trapezoid can indeed be a quadrilateral with only two right angles, hence Balavan's assertion is incorrect. Denna is correct as having three right angles implies the fourth angle must also be a right angle, leading to either a square or a rectangle.

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Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

tester [12383]

To achieve a positive profit p(x)>0, we start with:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Next, we solve for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3

5 0

3 months ago

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Will mark brainly if u show work !

zzz [12365]

Response:

Detailed explanation:

The factor of 6 originates from the 24 (6*4=24)

The factor of 3 comes from the 12 (3*4=12)

The factor of 4 is common

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2 months ago