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
zavuch27 [327]
3 years ago
13

Which expression is equivalent to

Mathematics
2 answers:
Inessa [10]3 years ago
8 0

<u>Answer:</u>

The correct answer option is \frac { 1 } { 81 }.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find out whether which of the given answer options is equivalent to this expression:

( 3 ^ 2 ) ^ { - 2 }

We know the rule for solving the exponents:

( b ^ n ) ^ { m } = b ^ { n \cdot m}

This means that the exponents are multiplied with each other.

So, if we multiply them, for the given expression we get:

( 3 ) ^ { - 4 } = \frac { 1 } { 3 ^ 4 } = \frac { 1 } { 81 }

Stella [2.4K]3 years ago
4 0

Answer:

1/81

Step-by-step explanation:

Remember:

b^-n = 1/b^n

Then

[(3^2)]^-2 = 1/[9^2]

1/81

Best regards

You might be interested in
The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of
Ivenika [448]

The length of the hypotenuse = √(-3^2 +1^2) = √10

The point -3,1 tell us the length of y is 1 and the length of x is 3.

This would make opposite = 1 and adjacent = -3

Sinθ = opposite/hypotenuse =  1/√10  = √10/10

Cosθ = adjacent/hypotenuse = -3/√10  = - 3√10/10

Tanθ = opposite/adjacent = 1/-3 = -1/3

6 0
3 years ago
A local food mart donates 20% of it's friday's sales to charity.
Digiron [165]

Answer:

$64

Step-by-step explanation:

We have been given that a local food mart donates 20% of it's Friday's sales to charity. This Friday the food mart had sales totaling 320.00 dollars.

To find the the amount donated to the charity, we will find 20% of $320.

\text{The amount donated to the charity}=\$320\times\frac{20}{100}

\text{The amount donated to the charity}=\$320\times0.20

\text{The amount donated to the charity}=\$64

Therefore, $64 were donated to the charity.

5 0
3 years ago
If m∠JKP=3r+12 and m∠2=4r−2, what is ∠JKN?
Leokris [45]
The answer seems to be 108
8 0
3 years ago
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
Hardy was given the scale drawing of the enlargement to Analyze Hardy's work to determine if he is correct. If he
irakobra [83]

Answer:

the correct answer is  NO. hardy should have multiplied by the scale factor to find the missing length.

Step-by-step explanation:

dont got one hehehe

8 0
3 years ago
Read 2 more answers
Other questions:
  • Write the equations of teh circle in standard form
    12·1 answer
  • What do you use to remove any grouping symbols in math
    10·1 answer
  • Factor 40x^3-5y^3 COMPLETELY
    7·1 answer
  • #3 Can someone please help me with these questions!!!!
    8·1 answer
  • If sale tax is 9% and you want to buy three t-shirts that cost $17.00 each, how much tax will you pay?
    13·2 answers
  • Okay I don’t k is<br>How to delete this
    5·2 answers
  • Plzzz help
    11·1 answer
  • Michael is 4 years younger than twice his cousin, Damien’s age. The sum of their ages is 46. How old is Damien?
    15·1 answer
  • On average, Carson spends about 26% of his allowance each month on candy and soft drinks. When creating a circle graph of what C
    5·1 answer
  • Please help mehhhhhh T^T
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!