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
Elena L [17]
4 years ago
6

For what value of a does (1/9)^a+1 =81^a+1 x 27^2-a ?-4-226

Mathematics
2 answers:
EastWind [94]4 years ago
4 0

Answer:

- 4

Step-by-step explanation:

Using the rule of exponents

• a^{m} × a^{n} ⇔ a^{(m+n)}

• a^{-m} ⇔ \frac{1}{a^{m} }

(\frac{1}{9}) ^{a+1} = 9^{-(a+1)} = 3^{-2(a+1)}

and right side

= 3^{4(a+1)} × 3^{3(2-a)}

Hence

3^{-2a-2} = 3^{4a+4} × 3^{6-3a}

3^{-2a-2} = 3^{a+10}

Equating exponents on both sides gives

a + 10 = - 2a - 2 ( add 2a to both sides )

3a + 10 = - 2 (subtract 10 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4

solong [7]4 years ago
3 0

Answer:

the answer to the question you is A on edg

Step-by-step explanation:

You might be interested in
The Sun has a diameter of approximately 8.64 × 105 miles. What is this distance in standard form?
nadya68 [22]
D.864,000
<span>to find standard form if the power is positive move the decimal that many places to the right. If the power is negative move the decimal that many times to the left.</span>
3 0
4 years ago
Blaise’s school is selling tickets to a fall musical. On the first day of ticket sales they sold 8 adult tickets and 3 student t
dezoksy [38]
Your two systems will be

8A + 3S = 79$

your 2nd will be

10A + 5S = 105$
4 0
3 years ago
Let xy=1<br><br> and let dy/dt=5<br><br> Find dx/dt when x=5
madreJ [45]
<span>So the first step is to take the derivative of xy=1. Don't forget the product chain rule!

</span>xy=1&#10;\\x=5&#10;\\y= \frac{1}{x}=\frac{1}{5}&#10;\\ &#10;\\\frac{dy}{dt}=5&#10;\\&#10;\\x\frac{dy}{dt}+y\frac{dx}{dt}=0&#10;\\&#10;\\5\times5+ \frac{1}{5} \frac{dx}{dt}=0&#10;\\&#10;\\\frac{1}{5} \frac{dx}{dt}=-25&#10;\\&#10;\\  \frac{dx}{dt}=-125&#10;<span>

</span>
3 0
3 years ago
What is the median of the data set?<br><br> 87, 98, 106, 82, 111, 120
Contact [7]

Answer:

The median is 102

Step-by-step explanation:

Median = a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Therefore, the answer 102 is correct.

(I need to be granted one more brainliest to level up so if my answer helped, it would be very much appreciated to award that to me, no obligations though!)

7 0
4 years ago
logan recieved a raise of $5 per hour. He made $12 per hour before the raise. By what percent did his salary increase? Round to
Nikitich [7]

This is pretty basic, but you need to convert the percentage into a real number that you can use to multiply by the employee’s current pay rate. To do this, simply move the decimal two places to the left. For a 3% increase, you will use .03.

Step 2: Multiply the employee’s current pay rate by that decimal

If your employee makes $15/hour, then you have: 15x.03=.45. So your employee’s increase is 45 cents per hour. For an employee who makes a salary of $45,000/year, then you have: 45,000x.03=1,350. So your salaried employee’s pay increase is $1,350 per year.

Why You Have to Convert the Percent

This is just a little theory and not needed to do the problem.

The percent symbol is used to tell you something about the number it sits beside. Percent means ‘parts per hundred’. So if a % sign sits beside a 3, it really means 3 parts per 100. You don’t need to know this to calculate a pay increase but it might help you to understand why you need to convert the percent into decimal form to begin with. 3% tells us we need to multiply our pay rate by 3 pieces of a hundred.

Do you remember what the decimal places mean? The first decimal place is the tenths place and the second is the hundredths place. This is why when we convert our percent we have to move two places – we have to open up the hundredths place.

Automatic Pay Raise Calculations

The Human Resources Documents within the Timesheets.com time tracking service calculates pay raise percentage as well as keeps record of changes. Record keeping is required by the

7 0
3 years ago
Other questions:
  • Why is 270° a quadrantal angle?
    13·2 answers
  • What is 8/11 divided by 6/7
    15·1 answer
  • Attached is the question. Plz help
    10·1 answer
  • This year Benny is 12 years old his brother Lenny's age is 175% of his age how old is Lenny
    15·1 answer
  • Kendra bought 4 boxes of doughnuts. There were 6 doughnuts in each box. She divided the doughnuts equally among 8 people. How ma
    6·1 answer
  • What is a plane in mathematical terms
    5·1 answer
  • PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • What is the sum of (-10)+(-7)=
    13·2 answers
  • What is the value of the expression b - 39 if b = (-22)
    6·1 answer
  • A bolt has 6 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!