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3 years ago

5

Inverse of f(x) =e^2x- 4

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

f−1(x)=ln(x+4)/ 2

Step-by-step explanation:

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People arrive at a college admissions office at rate 1 per minute, and the arrival is a Poisson process. When k people have arri

sweet-ann [11.9K]

Answer:

K=20

Step-by-step explanation:

There seem to be no randomness in the question.

At 1 per minutes the arrival rate is fixed.

Then compute the average cost for each person to give a four, adding the cost of guide and time waiting cost..

Therefore, K is the number of people hoping will show up.

Number of per minute waiting

= 1/2(K-1)K.

Tour cost 20+1/20(K-1).

Cost per guest= 20/k +1/20(K-1)

If the derivative is set to Zero

K=20

7 0

4 years ago

(i) Challenge: Thembi received 8% discount on an item which cost

Paul [167]

Answer:

$x = 0.25$

Step-by-step explanation:

Given

$Cost\ Price = 6 + x$

$Discount =8\%$

$Amount\ Paid = R6 - x$

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

$Amount\ Paid = Cost\ Price * (100\% - Discount)$

$Amount\ Paid = (6 + x) * (100\% - 8\%)$

$Amount\ Paid = (6 + x) * 92\%$

Express as decimal

$Amount\ Paid = (6 + x) * 0.92$

Open bracket

$Amount\ Paid = 5.52 + 0.92x$

So, we have:

$Amount\ Paid = 5.52 + 0.92x$ and

$Amount\ Paid = R6 - x$ ---- given

Equate both

$6 - x = 5.52 + 0.92x$

Collect like terms

$- x -0.92x= 5.52-6$

$-1.92x= -0.48$

$1.92x= 0.48$

Solve for x

$x = \frac{0.48}{1.92}$

$x = 0.25$

8 0

3 years ago

Which is equivalent to V180x11 after it has been simplified completely?

inna [77]

Question:

Which is equivalent to $\sqrt{180x^{11}}$ after it has been simplified completely?

Answer:

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

Step-by-step explanation:

Given

$\sqrt{180x^{11}}$

Required

Simplify

We start by splitting the square root

$\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}$

Replace 180 with 36 * 5

$\sqrt{180x^{11}} = \sqrt{36 * 5} * \sqrt{x^{11}}$

Further split the square roots

$\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} * \sqrt{x^{11}}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{11}}$

Replace power of x; 11 with 10 + 1

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10 + 1}}$

From laws of indices; $a^{m+n} = a^m * a^n$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x^1}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x}$

Further split the square roots

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10}} * \sqrt{x}$

From laws of indices; $\sqrt{a} = a^{\frac{1}{2}}$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{10*\frac{1}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{\frac{10}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{5} * \sqrt{x}$

Rearrange Expression

$\sqrt{180x^{11}} = 6 * x^{5} * \sqrt{5} * \sqrt{x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}$

From laws of indices; $\sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}$

So, we have

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}$

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

<em>The expression can no longer be simplified</em>

Hence, $\sqrt{180x^{11}}$ is equivalent to $6x^{5}\sqrt{5x}$

7 0

3 years ago

Read 2 more answers

-12 - 6p - (-2) simplify

FromTheMoon [43]

Answer:

-6p - 10 or -10 - 6p

Step-by-step explanation:

-12 - 6p - (-2)

= -12 - 6p + 2

= -6p - 10 or -10 - 6p

Please mark me Brainliest :)

5 0

3 years ago

Read 2 more answers

Could someone help with this?

Citrus2011 [14]

the answer is 4 and 7

3 0

3 years ago