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3 years ago

1. If y + 1/y = 2 cos teta find y

Mathematics

2 answers:

Gennadij [26K]3 years ago

8 0

Answer:

Step-by-step explanation:

1+1/1=2

valina [46]3 years ago

7 0

Answer:

y=1

Step-by-step explanation:

y+1/y=2

y+1/y-2=0

y-1=0

y=1

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Simplify the following expression.

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I got C.)5

Step-by-step explanation:

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3 years ago

A ratio of angel fish at a store is 5:4. the ratio of angel fish to goldfish is 4:3 . There are 60 clown fish at the pet store

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3 years ago

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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

What is the length of AB?

Xelga [282]

Answer:

AB = 7.35 cm

Step-by-step explanation:

From the attachment,

In ΔDEF,

DF = GH-(GD+FH) = 6 - (2+3) = 1 cm

DE = 2+3 = 5 cm (sum of two radius)

Applying Pythagoras theorem,

$EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6$

In ΔCDI,

DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm

CD = 2+1.5 = 3.5 cm (sum of two radius)

Applying Pythagoras theorem,

$CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6$

AB = EF + CI = $2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm$

6 0

4 years ago

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Be Solve for 8x +32 = 1/5(25x – 15) - 4x Enter your answer in the box x=

Temka [501]

Answer: x=−5

Step-by-step explanation:

8x+32=5x−3−4x

8x+32=x−3

8x+32−x=−3

7x+32=−3

7x=−3−32

7x=−35

x=- 35/7

x=−5

7 0

2 years ago

Read 2 more answers

1. If y + 1/y = 2 cos teta find y​

1. If y + 1/y = 2 cos teta find y