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zubka84 [21]
3 years ago
5

The surface area of the triangular prism is?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0
If I did my math right, the right answer should be that the surface area of this triangular prism is 576 square meters.
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Answer now please.ASAP
ruslelena [56]

Answer:

12.56

Step-by-step explanation:

8 times 3.14 is 25.12. Then 4 times 3.14 is 12.56. Finally, you take 25.12 - 12.56 and the answer is 12.56.

7 0
3 years ago
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)}

a)

At x = 50 units,

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

b)

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

c)

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
Extension: Suppose that there is some positive number bb so that<br> logb(5) = 0.84.
Papessa [141]

Answer:

b = 6.79

Step-by-step explanation:

Data provided:

logb(5) = 0.84

Now,

From the properties of log function

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

Thus,

logb(5) = 0.84

⇒ \frac{\log(5)}{\log(b)} = 0.84

or

log(5) = 0.84 × log(b)

or

log(5) = \log(b^{0.84})                (as log(xⁿ) = n × log(x) )

taking the anti-log both sides

we get

5 = b^{0.84}

or

b = 6.79

8 0
3 years ago
What is the value of q?<br><br><br><br><br> 60<br><br><br> 50<br><br><br> 100<br><br><br> 55
kap26 [50]
60? idk really srsly lalalalalallala
8 0
3 years ago
HELP LAST ATTEMPT ( get marked brainliest show work
Liono4ka [1.6K]

Answer:

D

Step-by-step explanation:

Area of H = 25pi

Area of J = 225pi

225pi/25pi = 9

7 0
3 years ago
Read 2 more answers
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