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3 years ago

What is the inverse function of f(x) =10^x

Mathematics

2 answers:

Lelechka [254]3 years ago

5 0

Answer:

<em>logarithmic function</em>

LenKa [72]3 years ago

3 0

Step-by-step explanation:

<h2><em>Inverse of f(x) , f−1(x)=logx , which is a logarithmic function.</em></h2>

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

Art [367]

Answer:

The answer is " $\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}$ "

Step-by-step explanation:

Given value:

Temp-maximum= $18^{\circ}$

Temp. minimum = $3^{\circ}$

It is halfway between 10 am and 10 pm to 4 am.

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:

$T = A \cos B(t-C) + D,$ where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

$A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\$

$= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5$

$B = \frac{2 \pi}{24}\\\\$

$= \frac{\pi}{12}$

$C = \text{ units translated to the right}= 4$

$D = y_{min} + amplitude = units \ translated \ up\\\\$

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

$T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5$

6 0

4 years ago

Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3

mafiozo [28]

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

4 0

3 years ago

Ricardo Gutierrez has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins, consisit

Nonamiya [84]

Let x be the number of pennies which is also equal to the number of dimes. By this representation, the number of quarters is equal 46 - 2x. The total amount is $4.87 or 487 cents. The equation that best represent the given is,
x + 10x + 25(46 - 2x) = 487
The value of x from the equation is 17. Therefore, there are 17 of both pennies and dimes and 12 quarters.

8 0

3 years ago

Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t

DochEvi [55]

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

8 0

3 years ago

What is a placebo and why is it important?

Ksju [112]

Answer:

A placebo is a fake put into place in order to make a user believe something is happening when it is not.

Step-by-step explanation:

A placebo is a fake put into place in order to make a user believe something is happening when it is not. This is used often in medicine, where a doctor may tell a patient they are receiving treatment for some condition, but in fact they are getting nothing. Often times this can actually make a change for the patient due to simply believing they are getting treatment. The placebo effect is also used in Statistics, with 2 groups, one getting the treatment, and one simply receiving a placebo. This is helpful because it shows the effect of treatment or medication more accurately.

3 0

3 years ago