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xxTIMURxx [149]
3 years ago
13

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the powe

r of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?
A. 3 over 2
B. 3 to the power of 2 over 2 to the power of 2
C. 3 to the power of 2 over 2
D. 2 to the power of 4 over 3

Can somebody explain how to do this?

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Ok first look at just the base 2s. 2^3/2^4 is 1/2
Then 3^-4*3^2/3^-3 is 3^-2/3^-3 is 3^3/3^2 is 3
Therefore the answer is 3/2
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How do you express complex fractions? For instance, x + 1/x /6​
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1 +  \frac{ \frac{1}{x} }{6}

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In fraction 5_8, what is the tem used to designate the 5?
Ierofanga [76]

Answer:

Numerator = 5

Step-by-step explanation:

A fraction is in the form of \dfrac{x}{y}.

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Hence, in the given fraction, 5 is the numerator and 8 denotes the denominator.

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3 years ago
Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered
dolphi86 [110]
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Answer is 14
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4 years ago
Write the given second order equation as its equivalent system of first order equations
Lilit [14]

The second-order equation as its equivalent system of first-order equations is

\left[\begin{array}{ccc}u(1)\\\\v(1)\end{array}\right] = \left[\begin{array}{ccc}7.5\\\\9\end{array}\right]

An equivalent system that has the identical answer is known as an equivalent structure. Given a gadget of two equations, we can produce an equal system by way of replacing one equation by means of the sum of the 2 equations, or by way of changing an equation by means of a couple of of itself.

Systems of linear equations are equivalent if and handiest in the event that they have an equal set of solutions. In other phrases, two systems are equal if and only if each answer of one in all of them is likewise a solution of the opposite.

In the structures sciences, a machine equivalent system is the conduct of a parameter or thing of a machine in a way just like a parameter or component of a distinctive system. Similarity means that mathematically the parameters and additives will be indistinguishable from each different.

Taking v = u, we have:

u" + 4u' + 6u = 4sin(3t)

--> v' + 4v + 6u = 4sin(3t)

So the system of equations is:

u' = 0u + 1v

v' = -6u - 4v + 4sin(3t)

So we can write it as:

u(1) = 7.5

v(1) = u'(1) = 9

So the initial condition matrix is:

\left[\begin{array}{ccc}u(1)\\\\v(1)\end{array}\right] = \left[\begin{array}{ccc}7.5\\\\9\end{array}\right]

Learn  more about the equivalent system here brainly.com/question/14878855

#SPJ4

3 0
2 years ago
In parallelogram ABCD, m∠BAC = 40.62°and m∠BCA = 30.96°. What is m∠BAD?
KatRina [158]
The answer is letter a.  m∠BAD = 108.42<span>° 

The solution is as follows:
If </span>m∠BAC = 40.62° and m∠BCA = 30.96°, then
m∠CBA = 180° -  m∠BCA - <span>m∠BAC
</span>m∠CBA = <span>108.42°
</span>
Since m∠BAD = m∠CBA  due to the parallelogram's property, 
<span>m∠BAD</span> = <span>108.42°.</span>
4 0
4 years ago
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