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4 years ago

Solve the logarthmic equation. Round answers to the nearest hundredth. 6+In x=8

Mathematics

2 answers:

Trava [24]4 years ago

6 0

Answer:

Step-by-step explanation:

6 + ln(x) = 8

ln(x) = 8 - 6

ln(x) = 2

x = $e^{2}$

x = 7.38905609893

x = 7

o-na [289]4 years ago

4 0

Answer:

x = e^2 = 7.39

Step-by-step explanation:

We have been given the logarithmic equation;

6+In x=8

The first step is to subtract 6 on both sides of the equation;

6 + ln x - 6 = 8 - 6

ln x = 2

We then introduce the exponential function, since the exponential function and the natural log function are inverses of each other;

$e^{lnx}=e^{2}\\\\x=e^{2}=7.38906$

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Write four decimals with the digit 4 in a different place in each-ones, tenths,hundredths, and thousandths. Then write s stateme

Rudiy27

We have to write number 4 in different places in ones, tenths,hundredths, and thousandths.

So, numbers are = 4.000 , 0.004 , 0.040 , 0.400

The statements can be like =

In 4.000 , the 4 is in ones place.

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In 0.040 , the 4 is at hundredth place.

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3 years ago

The total cost for renting a boat is $25 and the cost of fuel a operating the boat is $1.30 per day write equation that will giv

denis-greek [22]

C is the correct answer

$25 is constant and $1.30 is the variable cost that changes per day, therefore it would be $25 + (1.3×No. of Days)

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3 years ago

Seth has 1.5 liters of tomato juice. He drank some, and now there is 0.895 liter left. How much did Seth drink?

34kurt

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4 years ago

The sum of the first 10 terms of an arithmetic sequence is 235 and the

Degger [83]

Answer:

$\bold{a_1 = -42.65}\\\\\bold{d=14.7}$

Step-by-step explanation:

The sum of the first 10 terms of an arithmetic sequence is:

$S_{10}=a_1+a_2+...+a_{10}=\dfrac{a_1+a_{10}}{2}\cdot10=\dfrac{2a_1+(10-1)d}{2}\cdot10$

$\dfrac{2a_1+(10-1)d}{2}\cdot10=235\\\\(2a_1+9d)\cdot5=235\\\\2a_2+9d=47$

the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀

And the sum of the first 20 terms of an arithmetic sequence is:

$S_{20}=a_1+a_2+...+a_{10}+a_{11}+...+a_{20}=\dfrac{2a_1+(20-1)d}{2}\cdot10$

so the sum of the second 10 terms is:

$a_{11}+a_{12}+...+a_{20}=S_{20}-S_{10}$

Therefore we have:

$\dfrac{2a_1+(20-1)d}{2}\cdot10-\dfrac{2a_1+(10-1)d}{2}\cdot10=735\\\\(2a_1+19d)\cdot5-(2a_1+9d)\cdot5=735\\\\2a_1+19d-(2a_1+9d)=147\\\\10d=147\\\\d=14.7$

and:

$2a_1+9\cdot14.7=47\\\\2a_1+132.3=47\\\\2a_1=-85.3\\\\a_1=-42,65$

3 0

3 years ago

A boat goes 3/4 hours with a speed of 8 mph and 1/3 hours with a speed of 12 mph. What distance did the boat cover in all this t

Reika [66]

Answer:

10 miles

Step-by-step explanation:

Given: Boat goes $\frac{3}{4}$ hours with 8 mph (i)

Boat goes $\frac{1}{3}$ hours with 12 mph (ii)

Now, lets find out distance separately to get total distance.

Formula for finding distance is

D= $Speed\times time$

D= $\frac{3}{4} \times 8$ (i)

D= $3\times 2$

∴ D1= 6 miles (i)

D= $\frac{1}{3}\times 12$ (ii)

∴D2= 4 miles (ii)

To find total distance, we will add d1 and d2

Total distance = $d1 + d2$

∴ Total distance = $6 + 4$

= 10 miles is the total distance covered by boat in all this time.

8 0

3 years ago