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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.

You might be interested in

The monthly membership fee for an online television

Makovka662 [10]

Jill rented (B) 2 movies that month.

<h3>What is an equation?</h3>

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

To find how many movies did Jill rent online that month:

The equation for the monthly bill when m number of movies are rented per month = 9.80 +1.5m.
Given, 9.80 + 1.5m=12.80
1.5m = 3
m = 2

Therefore, Jill rented (B) 2 movies that month.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

5 0

1 year ago

The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a

grigory [225]

Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.

Replacing with the values given:

Tan 31 = x /25

Tan 31 (25) =x

x = 15 feet

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

2 years ago

What is 2/5 divided by -1/2 minus 3/2

shutvik [7]

Answer:

$- \frac{23}{10}$

Step-by-step explanation:

$\frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2}$

➡️ $- \frac{2}{5} \times 2 - \frac{3}{2}$

➡️ $- \frac{4}{5} - \frac{3}{2}$

➡️ $- \frac{23}{10}$

5 0

2 years ago

Read 2 more answers

Need help on my math!!!!!!

alexandr402 [8]

I believe the answer is 1/x-4

This is because the x-5 on the numerator and denominator cancel out

3 0

2 years ago

Read 2 more answers