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lapo4ka [179]
3 years ago
8

If (-3)^-5 =1/x, what is the value of x?

Mathematics
1 answer:
iragen [17]3 years ago
7 0
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\
%(-3)^-5 =1/x,
(-3)^{-5}=\cfrac{1}{x}\implies \cfrac{1}{(-3)^5}=\cfrac{1}{x}\implies 1\cdot x=(-3)^5\cdot 1\implies x=(-3)^5
\\\\\\
x=(-3)(-3)(-3)(-3)(-3)\implies x=-243
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Sedaia [141]

Answer:

AB=24

Step-by-step explanation:

CD is perpendicular to AB

If any radius or diameter is perpendicular to any chord of a circle, then it bisects that chord.

Mean, AB= BE = 12

So, AB = 2(BE)

2(12)= 24

so your answer will be 24

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hope it helps..

have a great day!!

5 0
3 years ago
What is the solution to 3/(2x+1) = 9/3x?
Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

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7 0
3 years ago
Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t
shtirl [24]

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


3 0
3 years ago
The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?
Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x


5 0
3 years ago
What fraction is equal to .66?<br><br> A.1/3<br><br> B.1/5<br><br> C.2/3<br><br> D.2/4
photoshop1234 [79]
2/3 is the answer. 

<span>1/3 is equal to 33.33333333% </span>

<span>so 2/3 is equal to 66.6666666%</span>
8 0
3 years ago
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