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MariettaO [177]
2 years ago
11

Please help me with this. I need to solve for x. 4ln(7x+3)+12=40

Mathematics
1 answer:
tatiyna2 years ago
7 0

Answer:

x=\frac{e^7-3}{7}

Step-by-step explanation:

4* ln(7x+3) + 12 = 40

4* ln(7x+3) + 12 - 12 = 40 - 12

4* ln(7x+3) = 28

ln(7x+3) = 28/4

ln(7x+3) = 7

e^7 = (7x + 3)

e^7 - 3 = 7x

x=\frac{e^7-3}{7}

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A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect
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Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

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P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99

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P(D^{c})=1-P(D)=1-0.88=0.12

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Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

Compute the probability that a randomly selected person is tested negative  as follows:

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4 0
3 years ago
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Answer:

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6 0
3 years ago
Read 2 more answers
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
Katena32 [7]

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3

Options

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Answer:

x^2y^2

Step-by-step explanation:

Given

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3

Required

Fill in the missing gap

We have that:

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

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The  missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only x^2y^2 can be used to complete the polynomial.

Hence, the complete polynomial is:

8x^3y^2 -x^2y^2+ 3xy^2 - 4y3

4 0
3 years ago
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