1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rosijanka [135]
4 years ago
9

Find m when 4^(m)*4^(2)=12

Mathematics
1 answer:
miv72 [106K]4 years ago
4 0

Step-by-step explanation:

4^m * 4^2 = 12

4^(m + 2) = 4^(log4 12)

m + 2 = log4 (12)

m = log4 (12) - 2.

You might be interested in
Find the quotient: 15x^4y^2 - 25x^2y^3 + 45xy / 5xy:
salantis [7]

Answer:

  3x^3y − 5xy^2 + 9

Step-by-step explanation:

When there is only one denominator term, the quotient can be found by dividing the numerator terms individually.

\dfrac{15x^4y^2 - 25x^2y^3 + 45xy}{5xy}=\dfrac{15x^4y^2}{5xy}-\dfrac{25x^2y^3}{5xy}+\dfrac{45xy}{5xy}=3x^3y-5xy^2+9

_____

There are a couple of things to keep in mind here:

  • an exponent tells the number of times the factor is repeated
  • equal numbers of identical factors cancel from numerator and denominator, for example x^3/x = (x·x·x)/x = x·x = x^2. (One factor of x cancels.)
6 0
4 years ago
#2
I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

5 0
4 years ago
Chen check the temperature at Dawn and at dusk every day for a week for a science project. How many observations does he make?
salantis [7]
Chen checked the temperature 14 times at dawn and at dusk
4 0
4 years ago
Read 2 more answers
PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
german

Using linear function concepts, it is found that:

  • a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
  • b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A <em>linear function </em>has the format given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0
3 years ago
Which equation is NOT true?
MrRissso [65]
I'm gonna say c I'm not shore though
7 0
3 years ago
Other questions:
  • Please help ?????????????
    7·1 answer
  • Marandas maid service charges $54 to clean two offices what is the companies price for cleaning a single office
    7·2 answers
  • Please help! This is urgent! ASAP!
    10·1 answer
  • Calculate the value of c in the triangle below.
    9·2 answers
  • If AACD ~ AABE, find the value of x.
    13·1 answer
  • PLease help me plz i really need this
    10·1 answer
  • MZRST = 135º and MZEST = 85º.<br> Find mZRSE.
    6·1 answer
  • This table shows the number of goals scored in 25 Premier League football matches
    10·1 answer
  • Michaela is training for a race. She runs 5 miles in 52 minutes. Her goal is to run 6 miles in 1 hour. By how many minutes per m
    11·1 answer
  • Please answer fully///////////////
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!