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3 years ago

16, 48,144,... Find the 6th term.

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:
3,888
Step by step explanation:
Just multiply by 3 to get the next number
or
Nth term= 16 x (3^N-1)

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Evaluate the expression 3(2x - 8) /7x when x= -3

sineoko [7]

Answer:

Step-by-step explanation:

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3 years ago

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object funct

Dmitrij [34]

Refer to the figure shown below.

The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)

All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.

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3 years ago

Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vph

prisoha [69]

Answer:

The order is "D, B, A, E, C".

Step-by-step explanation:

The numbers are as follows:

$A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}$

Simplify the value of A, B, C, D and E as follows:

$A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937$

Arrange the following numbers in increasing order as follows:

D > B > A > E > C

Thus, the order is "D, B, A, E, C".

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3 years ago

Which is the equation in the graph?

kompoz [17]

Answer:

D) y = 3x-2

Step-by-step explanation:

The y-intercept is (0,-2). This means that in y-mx+b, b is going to by -2. We know the slop is 3 because if I choose 2 points and move ONE unit to the right, it is increasing by 3. Also, you can do y1-y2/x1-x2, or y2-y1/x2-x1.

Please tell me if this is wrong and hope this helps :)

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3 years ago

Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?

svlad2 [7]

The price of 4 gallons of organic milk be determined by finding the unit price ($2.52 times 2) and multiplying it by 4.

4 0

3 years ago

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