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2 years ago

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Mathematics

1 answer:

kramer2 years ago

3 0

I think when you copied and pasted your question it re arranged itself

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Given sinx= −3/5 when 3π/2 < x < 2π, find tan x/2

GarryVolchara [31]

Answer:

B -⅓

Step-by-step explanation:

sinx = -3/5

Adjacent² = 5² - 3² = 16

Adjacent = 4

tan(x) = -3/4

-¾ = 2tan(½x)/[1 - tan²(½x)]

-3 + 3tan²(½x) = 8tan(½x)

3tan²(½x) - 8tan(½x) - 3 = 0

tan(½x) = 3, -⅓

5 0

3 years ago

Read 2 more answers

Clare Made Some Lemonade By Mixing 6 cups of water with 8 tablespoons of lemonade powder

kvasek [131]

That is going to be 48 for the first question because 6x8 equals 48

4 0

3 years ago

Read 2 more answers

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

A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3

Lady bird [3.3K]

Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = $Length \times Breadth \times Height$

Volume of rectangular prism = $8 \times 6 \times 12$

Volume of rectangular prism = $576 feet^3$

Hence the volume of the prism is 576 cubic feet

6 0

3 years ago

Read 2 more answers

SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They ha

mafiozo [28]

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

$x+y\leq 50$

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

$4x+6y\geq 100$

Therefore, the inequalities in the system of linear inequalities are $x+y\leq 50$ and $4x+6y\geq 100$ .

3 0

2 years ago