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
stepan [7]
3 years ago
5

Which is the value of this expression when a=5 and k=-2

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

You might be interested in
Please Help!<br> Please!<br> I don’t understand!
Brums [2.3K]

Answer:

#1 false

#2 true

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance
zzz [600]

Answer:

\frac{\Delta v}{v}=0.426

Step-by-step explanation:

you have that the average sped is given by the following formula:

v(x,t)=\frac{x}{t}

The uncertainty formula for a division is given by:

\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}        (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426

Hence, the relation between the uncertainty in the average velocity is 0.426

4 0
3 years ago
Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).
mojhsa [17]

Answer:

Step-by-step explanation:

y + 1 = -9(x + 9)

y + 1 = -9x - 81

y = -9x - 82

answer is A

5 0
3 years ago
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
6 0
3 years ago
A shipment of sugar fills 2 1/5 containers. If each container holds
chubhunter [2.5K]
8.25 tons or 8 1/4
 just multiply the two numbers together 
3 0
3 years ago
Other questions:
  • Describe a real world situation that can be modeled by the equation 8.35x=4.25x+36.90
    5·1 answer
  • List following fractions in ascending order<br> 5/6 15/36 3/18 5/9 31/36
    11·1 answer
  • PLEASEEE HELP ME ILL GIVE BRAINLIEST TO FIRST PERSON WHO ANSWERS
    13·1 answer
  • Which method can't you use to solve x²+7x=0.
    10·1 answer
  • Which one is a counter example?
    9·2 answers
  • Find the number if 6% of it is 27
    14·2 answers
  • After the math contest, Basil noticed that there were four extra-
    14·2 answers
  • Find the percent increase or decrease to the nearest percent. From 14 books to 40 books From 72 points to 50 points
    15·1 answer
  • A group of students investigated the effect of temperature of vinegar on its reaction time with baking soda. To minimize the ran
    14·1 answer
  • A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!