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bagirrra123 [75]

2 years ago

6

How would you explain the relationship between an exponential function and a logarithmic function to an English major you are tu

toring in math? Can you give me a real life example of it?

1 answer:

natima [27]2 years ago

3 0

This is a really interesting question!! exponential functions and logarithmic functions are actually inverses functions; the way to "undo" logarithms is by exponents, the way to "undo" exponents is by logarithms. an exponent tells you how many times you need to multiply a value; logarithms ask what exponent you need to get a certain value. you could use logarithms and exponents to calculate interest rates, as a real life example. they can also be used in calculating population growth or the half-life of an organism in biology.

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

There are seven members of a jazz club who are listed below. A concert director can choose some or all of them to be part of a l

balu736 [363]

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2 years ago

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igor_vitrenko [27]

Answer:

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3 years ago

Figure AAA is a scale image of figure BBB.

Elan Coil [88]

Answer:

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Step-by-step explanation:

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