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2 years ago

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The cost, C (in dollars) to produce g gallons of a chemical can be expressed as C=f(g). Using units, explain the meaning of the

following statements in terms of the chemical. (a) f(400)=700 The statement f(400)=700 means

1 answer:

Hunter-Best [27]2 years ago

4 0

Answer:

To produce 400 gallons of a chemical, it costs 700 dollars.

Step-by-step explanation:

We have that:

The cost, C (in dollars) to produce g gallons of a chemical can be expressed as C=f(g).

The interpretation is:

To produce g gallons of a chemical it costs C dollars.

So

f(400)=700

This means that to produce 400 gallons of a chemical, it costs 700 dollars.

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What is the difference between<br> 7z<br> and z to the power of 7

agasfer [191]

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

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1 year ago

Which of the following best describes the slope of the line below?

Aleonysh [2.5K]

Answer:

it is undefined

Step-by-step explanation:

it is undefined because the vertical line touches the same x coordinate in the whole thing.

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2 years ago

Pls help if u can <br> thanks in advance

Katarina [22]

Answer:

x=55

Step-by-step explanation:

Since the two lines are parallel the two angles are same side exterior. This means their sum is 180. So to solve put them equal to 180, x+9+2x+6=180.

First, combine like terms

3x+15=180

Then, subtract 15 from both sides

3x=165

Finally, divide the entire equation by 3

x=55

8 0

1 year ago

2 points) Test each of the following series for convergence by the Integral Test. If the Integral Test can be applied to the ser

alexgriva [62]

Answer:

Required result : (a) Divergent. (b) Convergent. (c) Divergent, (d) Not exists. (e) Not exists.

Step-by-step explanation:

By the definition of integral test the series for a integer n and a continuous function f(x) which is monotonic decreasing in $[n,\infty)$ then the infinite series $\sum_{n}^{\infty}$ converges or diverges if and only if the improper integral $\int_{n}^{\infty}$ converges or diverges.

Given,

(a) $\sum_{n=1}^{\infty}9^n(\ln(9^n))^n$

$=5(\ln(9))^5\sum_{n=1}^{\infty}9^nn^5\hfill (1)$

Then,

$\int_{1}^{\infty}9^n(\ln(9^n))^5$

$=5(\ln 9)^5\int_{1}^{\infty}9^nn^5dn\hfill (2)$

Let,

$I=\int 9^nn^9$

By using integral calculator we get,

$I=\dfrac{\left(2\ln\left(3\right)n\left(\ln\left(3\right)n\left(\ln\left(3\right)n\left(\ln\left(3\right)n\left(2\ln\left(3\right)n-5\right)+10\right)-15\right)+15\right)-15\right)\mathrm{e}^{2\ln\left(3\right)n}}{8\ln^6\left(3\right)}$

which is divergent. Therefore given (2) is divergent and so is (1).

(b) $\sum_{n=1}^{\infty}ne^{-8n}\hfill (3)$

Then in integral form,

$\int_{1}^{\infty}ne^{-8n}$

$=\frac{9e^{-8}}{64}$

$=4.72\times 10^{-5}$

Thus given series (3) is convergent.

(c) $\sum_{n=1}^{\infty}ne^{8n}\hfill (4)$

Then in integral form,

$\int_{1}^{\infty}ne^{-8n}$

Now let,

$I=\int n e^{-8n}$

Applying integral calculator we get,

$I=\dfrac{\left(8n-1\right)\mathrm{e}^{8n}}{64}$

which is divergent and thus,

$\int_{1}^{\infty}I$ is divergent. So, given series (4) is divergent.

(d) $\sun_{n=1}^{\infty}ln(3n)^n$

which is in integral form,

$\int_{1}^{\infty}\ln (3n)^n$

during integration since there is no any antiderivative, the result could not be found.

(e) $\sum_{n=1}^{\infty}n+7(-4)^n$

Integral form is,

$\int_{1}^{\infty}n+7^{(-4)^n}$

Let,

$I=\int _{1}^{b}n+7^{(-4)^n}$

Using integral calculator we get,

$I=\frac{1}{2\ln(-4)}\Big[\ln(-4)b^2-2\Gamma(0,-\ln(7)(-4)^b)+2\Gamma(0,4\ln(7))-\ln(-4)\Big]$

But,

$\lim_{b\to \infty}I$ not exists.

4 0

2 years ago

★PLSSSSS HELPPPPPPPPP★

monitta

Answer:

C: S≤35h+42

Step-by-step explanation:

Since the competitor charges $35 per hour PLUS 42(individually), it is 35h+42.

Suzzette's charges should be NO MORE than the competitor, so it could include the SAME amount too. So S(suzzette) is lesser than Or equal to 35h+42.

The answer is C, S≤35h+42

8 0

2 years ago