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2 years ago

Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please

Mathematics

1 answer:

Paraphin [41]2 years ago

6 0

$\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207$

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I got a screenshot, You got answer

liq [111]

Answer:

A. $V = (pi)(3.25)^2(12)$

Step-by-step explanation:

The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

$A = (pi)(r)^2$

Multiply that by the height to find the formula for the volume of a cylinder,

$V=(pi)(r)^2(h)$

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

$V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)$

3 0

3 years ago

The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago

a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investm

klio [65]

Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300

First investment is 1300
second investment is 1700

7 0

3 years ago

Mrs. Gilus is in charge of the budget for the school. Last year, we began the year with &708.88 in our bank account, but by

liberstina [14]

It sounds like they had $708.88 at the beginning, however by the end of the year they OWED $347.99. The first number is in the positive while the other is a negative. Add the last number to the first number for the amount that they have spent which would be $1,056.87.

8 0

3 years ago

42 [<br> 13 + 4(36 ÷ 6)]

FromTheMoon [43]

Answer:

1554

Step-by-step explanation:

PEMDAS

42[13+4(6)]

42[13+24]

42(37)

1554

4 0

3 years ago

Read 2 more answers