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2 years ago

Consider the equation 2*e^-6w=95 Solve the equation for w. Express the solution as a logarithm in base-e

Mathematics

1 answer:

pishuonlain [190]2 years ago

7 0

Answer:

$log_e \Big (\dfrac{95}{2} \Big )= {-6w}$

Step-by-step explanation:

From the given information:

We need to find the value of w

$2*e^{-6w}= 95$

Divide both sutiet sl???ides. VVVVV

$e^{-6w}= \dfrac{95}{2}$

Taking the logarithim in base in e for both sides:

$log_e \Big (\dfrac{95}{2} \Big )= {-6w}$

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Need help with 2 and 4 ASAP Inverses...

Drupady [299]

h(x) = 1/(x - 1)

Replace h(x) with y.

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Swap x and y.

x = 1/(y - 1)

Solve for y.

Multiply both sides by (y - 1)

x(y - 1) = 1

Distributive property.

xy - x = 1

Add x to both sides.

xy = 1 + x

Divide both sides by x.

y = 1/x + 1

Replace y with h^-1(x)

H^-1(x) = 1/x + 1 is the inverse function for question 2.

h(x) = 4/(x + 2)

Replace h(x) with y.

y = 4/(x + 2)

Swap y and x.

x = 4/(y + 2)

Solve for y.

Multiply both sides by y + 2.

x(y + 2) = 4

Distributive property.

xy + 2x = 4

Subtract both sides by 2x.

xy = 4 - 2x

Divide both sides by x.

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Replace y with h^-1(x)

H^-1(x) = 4/x - 2 is the inverse function for question 4.

4 0

2 years ago

Please answer and help me on this question!

Nady [450]

<h3>Answer: 10.1 cm approximately</h3>

=====================================================

Explanation:

The double tickmarks show that segments DE and EB are the same length.

The diagram shows that DB = 16 cm long

We'll use these facts to find DE

DE+EB = DB

DE+DE = DB

2*DE = DB

DE = DB/2

DE = 16/2

DE = 8

-------------

Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9

Use the pythagorean theorem to find x

a^2+b^2 = c^2

8^2+x^2 = 9^2

64+x^2 = 81

x^2 = 81 - 64

x^2 = 17

x = sqrt(17)

That makes EC to be exactly sqrt(17) units long.

If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6

---------------

So,

AC = AE+EC

AC = 6 + sqrt(17)

AC = 10.1231056256177

AC = 10.1 cm approximately

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2 years ago

20 pts to whoever helps!!

VladimirAG [237]

<h3>Answer: B) 31.348</h3>

======================================

Work Shown:

We will never use the alpha = 0.05 value when computing the test statistic. So we can ignore alpha for this particular problem.

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n = 40 is the sample size.

s = 2.6 is the sample standard deviation

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Test Statistic for chi-square

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2 years ago

Solve and get brainliest!! please be sure of your answer!!!!

I am Lyosha [343]

Answer:

Step-by-step explanation:

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