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3 years ago

Find the solution of the objective function for problems (a) - (b) below. For each problem,

Mathematics

1 answer:

sergey [27]3 years ago

5 0

Answer:

is that all detail

Step-by-step explanation:

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Which cube is a unit cube?

liq [111]

Answer:

The answer is (C)

Step-by-step explanation:

because unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long .The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.

7 0

4 years ago

Read 2 more answers

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

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3 years ago

If there are 37 figures and there are six people how many will each person get

Elis [28]

Answer:

It depends.

Step-by-step explanation:

If we're able to brake the figures, then each person will get six and one sixth of a figure

$37 \div 6 = 6 \frac{1}{6}$

But if we can't break them, then each person will get six figures with one remaining ungiven.

$37 \div 6 = 6 \: (1)$

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4 years ago

How many times can can 93 go into 784?

lyudmila [28]

784/ 93 = 8.43010752688
93 * <span>8.43010752688 = 784</span>

8 0

3 years ago

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Solve the problem. Find the amount of money in an account after 12 years if $4700 is deposited at 5% annual interest compounded

Dmitrij [34]

Answer:

The correct answer is $8532.17

Step-by-step explanation:

The formula for calculating investments with compound interests is as follows:

$(1+\frac{R}{t})^{tn}*P$

Where:

R is the annual interest rate,

t is the number of times the investment is to be compounded in a year,

n is the number of years,

P is the principal amount invested.

Replacing in the formula with the given values you have:

$(1+\frac{0.05}{4})^{4*12}*4700 = 8532.1678$

3 0

3 years ago