What is the simplified form of the difference shown below? (3a^2-6a-1)-(5a^2-2a+3)

Differentiate the following equation

Bingel [31]

Answer:

$\frac{dy}{dx} = \frac{4}{1-x}$

Step-by-step explanation:

y = 3 - 4ln(1 - x)

⇒ $\frac{dy}{dx} =3\frac{d}{dx} -4ln(1-x)\frac{d}{dx}$

⇒ $\frac{dy}{dx} =0 -4ln(1-x)\frac{d}{dx}$

⇒ $\frac{dy}{dx} =0 -4(\frac{1}{1-x})\times-1$

⇒ $\frac{dy}{dx} = \frac{4}{1-x}$

4 0

3 years ago

FInd the surface area of the triangular prism

Marta_Voda [28]

Answer:

273.7

Step-by-step explanation:

first fine the sides that isn't the base.

triangle area formula: (b*h)/2

(14*9)/2 = 63

since there are 3 sides you multiply this by three.

63*3=189

then find the base.

same formula since its a triangle.

(12.1*14)/2 = 84.7

now add them both up:

84.7+189 = 273.7

hope this helps!

3 0

4 years ago

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Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How many c

Vanyuwa [196]

The amount Reggie collected is equal to x
$\frac{360}{.4}= \frac{x}{1}$

$x = \frac{360}{.4} = \frac{360}{ \frac{4}{10} } = \frac{360*10}{4} = 900$

4 0

3 years ago

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work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company deci

Yuki888 [10]

Answer:

(a) S = {MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC}

(b) The probability that Roberto and John attend the conference is 0.10.

(c) The probability that Clarice attends the conference is 0.40.

(d) The probability that John stays home is 0.60.

Step-by-step explanation:

It is provided that :

Marco (M), Roberto (R), John (J), Dominique (D) and Clarice (C) works for the company.

The company selects two employees randomly to attend a statistics conference.

(a)

There are 5 employees from which the company has to select two employees to send to the conference.

So the total number of ways to select two employees is:

${5\choose 2}=\frac{5!}{2!(5-2)!}=\frac{5\times 4\times 3!}{2\times 3!}=10$

The 10 possible samples are:

MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC

(b)

The probability of the event E is:

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes

N = Total number of outcomes.

The variable representing the selection of Roberto and John is, RJ.

The favorable number of outcomes to select Roberto and John is, 1.

The total number of outcomes to select 2 employees is 10.

Compute the probability that Roberto and John attend the conference as follows:

$P(RJ)=\frac{n(RJ)}{N}=\frac{1}{10}=0.10$

Thus, the probability that Roberto and John attend the conference is 0.10.

(c)

The favorable outcomes of the event where Clarice attends the conference are:

n (C) = {MC, RC, JC and DC} = 4

Compute the probability that Clarice attends the conference as follows:

$P(C)=\frac{n(C)}{N}=\frac{4}{10}=0.40$

Thus, the probability that Clarice attends the conference is 0.40.

(d)

The favorable outcomes of the event where John does not attends the conference are:

n (J') = MR, MD, MC, RD, RC, DC

Compute the probability that John stays home as follows:

$P(J')=\frac{n(J')}{N}=\frac{6}{10}=0.60$

Thus, the probability that John stays home is 0.60.

4 0

3 years ago

The Senate in a certain state is comprised of 58 Republicans, 39 Democrats, and 3 Independents. How many committees can be for

never [62]

YuAnswer:

Step-by-step explanation:

5 0

3 years ago

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