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
barxatty [35]
3 years ago
15

How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

            <u>    - 2   - 2</u>

             k = 2

You might be interested in
WILL GIVE BRAINLIEST, 5/5 RATING, AND FAVORITE.
CaHeK987 [17]

Answer:

y = -\frac{1}{2}x + 2

Step-by-step explanation:

Assume this is function is a straight line, consider the equation of the straight line: y=mx + c

To find the gradient of the equation, we use any two coordinates from the table. (x_1,y_1) = (6,-1)\\(x_2,y_2) =(2,1)

m = \frac{y_1 - y_2}{x_1 - x_2}\\\\m = \frac{1-(-1)}{2-6}\\\\m=\frac{2}{-4} \\\\m=- \frac{1}{2}

We substitute the value of m in the equation:

y =mx+c\\y = - \frac{1}{2} x + c\\\\

To find c, we use the leftover coordinates, (4,0) in the equation above:

y = -\frac{1}{2}x+c\\\\0 = -\frac{1}{2} \times 4+c\\\\0 = -2 + c\\\\c=2\\\\

Substitute this value of c in the equation to get the function:

y = -\frac{1}{2}x + 2

4 0
3 years ago
Help me!!! Find x and y... please show work.<br><br> I’ll give Brainliest to the very first answer.
sammy [17]
(3+11-34) is the answer
7 0
4 years ago
But why multiply though ?
Mice21 [21]
<span>We memorize daily, but do you realize that your brain is like a computer. Whatever you put into it, will most probably remain there for a long period of time. You can choose to fill it with unimportant things, or you can fill it with skills that can be a benefit to you your entire life. Like multiplication. You will use this skill for as long as you live. Using and teaching your brain to memorize is probably the most important skill of all.</span>
8 0
3 years ago
Find the measure of angle 3 if the measure of angle 8 is 40<br> degrees.
steposvetlana [31]

Answer:

3=140°

Step-by-step explanation:

7 0
3 years ago
(10 points): My sister Courtney is an assistant professor at a major university and a licensed psychologist. She
grin007 [14]

Answer:

Courtney and her family traveled 14 miles in Mr. De Palma's cab from the airport to the hotel.  

Step-by-step explanation:

The total amount of the ride, including tip, was $42.00.  Since this amount represents exactly eight times the amount that was received as a tip, 42/8 is $5.25, which is the cost of the tip.  The other flat rates associated with the trip is the $3.15 for entry and $1.75 for each additional passenger (1.75 x 3=5.25).  Once you subtract these fees from the total amount, $42 - $5.25 (tip) - $5.25 (additional passengers) - $3.15 (entry) = $28.35.  Since Mr. De Palma charges $0.45 for every two-ninths of a mile, you take the revised total 28.35/.45 = 63.  Since 63 represents the amount for every two-ninths of a mile, you need to multiply this amount by 2/9 to get your total amount of miles, or 63 x 2/9 = 14.  

6 0
4 years ago
Other questions:
  • What is the area of this triangle? Enter your answer in the box. units² A triangle D E F is graphed on a coordinate plane. The h
    5·1 answer
  • Suppose a triangle has two sides of length 33 and 37 and that the angle between these two sides is 120 what is the length of the
    14·1 answer
  • The equation of line r is y = -12 1 2 x - 4. If line s runs perpendicular to line r and passes through (4, -3), what would be th
    5·2 answers
  • Graph 3x-y-2=0 using the x- and y-intercepts
    8·2 answers
  • Which two square roots are used to estimate square root of 42?
    7·1 answer
  • PLEASE HELP (Will give a brainliest to best answer!)
    5·2 answers
  • What is the square root of 33
    15·2 answers
  • Please help! I will mark you as Brainly and give points. Please show your work
    9·1 answer
  • Brian, Monique, and Taylor shared a blackberry pie. Brian ate ¼ of the pie. Monique ate 35% of the pie. Sonya ate 0.2 of the pie
    9·2 answers
  • Can someone please help me with this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!