What is the perimeter of a square window that is 36 in Long

Solve each inequality for x. (Enter your answers using interval notation.)

olganol [36]

Answer:

(a) ln(x) = 0

Then 0 < x < 1

(b) e^x > 2

Then ln2 < x < ∞

(a) ln(3x - 17) = 5

x = 55.1377197

ln(a + b) + ln(a - b) - 5ln(c)

= ln[(a² - b²)/c^5]

Step-by-step explanation:

First Part.

(a) ln(x) < 0

=> x < e^(0)

x < 1 ....................................(1)

But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.

In fact the values of x that satisfy this inequalities are between 0 and 1.

Therefore, we write:

0 < x < 1

(b) e^x > 2

This means x > ln2

and must be finite.

We write as:

ln2 < x < ∞

Second Part.

(a) ln(3x - 17) = 5

3x - 17 = e^5

3x = 17 + e^5

x = (1/3)(17 + e^5)

= 55.1377197

Third Part.

We need to write

ln(a + b) + ln(a - b) - 5ln(c)

as a single logarithm.

ln(a + b) + ln(a - b) - 5ln(c)

= ln(a + b) + ln(a - b) - ln(c^5)

= ln[(a + b)(a - b)/(c^5)]

= ln[(a² - b²)/c^5]

3 0

3 years ago

In a certain state, license plates each consist of 2 letters followed by either 3 or 4 digits. How many differen license plates

coldgirl [10]

Answer:

26 × 26 × 10 × 10 × 10 = 676 , 000 possibilities

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all 26 letters of the alphabet and all 10

digits can be used again.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet. There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is: 26 × 26 = 676

The same applies for the three digits. There are 10 choices for the first, 10

for the second and 10 for the third:

10 × 10 × 10 = 1000

So for a license plate which has 2 letters and 3 digits, there are: 26 × 26 × 10 × 10 × 10 = 676 , 000 possibilities.

Hope this helps.

8 0

3 years ago

F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)

ladessa [460]

Answer:B

Step-by-step explanation: It’s a decay function

6 0

4 years ago

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Suppose you had to decide between an apartment that costs $800/month for a month-to-month contract, or $650/month for an annual

Ghella [55]

Answer:

the second one would be more effective because $800*12 will cost a lot more than $650+2 months penalty if u leave

4 0

4 years ago

Find x if the average of 20, 20, 19, 13, and x is 16

fiasKO [112]

By adding 20+20+19+13+x and dividing by 5 you will receive the answer. Therefore by substituting numbers, 8 will give you the correct average.
20+20+19+13+8 = 80
80/5 = 16.
Therefore x = 8
If I have helped you out, help me out by making me the brainliest answer.

4 0

4 years ago

Read 2 more answers