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slava [35]
3 years ago
5

What is the value of x in the equation log(x+2) - log(x-1) = log 2​

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

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Evan is working two summer jobs, making $10 per hour babysitting and making $8 per hour walking dogs. In a given week, he can wo
sveticcg [70]

Answer:

Minimum whole hour is 3 hours. Other possible values are 4 hours.

Step-by-step explanation:

Given: Evan is paid for babysitting is $10 per hour.

           Paid for walking dog is $8 per hour.

           Maximum hour, he can work is 16 hours.

           Minimum earning Evan should get in a week is $140.  

           Evan have worked for 12 hours as babysitting.

Now, finding minimum number of hours Evan shoud work as walking dogs to meet his goal.

As given Evan have already worked for 12 hours as babysitting, therefore lets find the amount, he earned for babysitting.

Evan´s earning in 12 hours of babysitting= 12\ hours\times \$ 10= \$ 120

∴ Evan´s total earning in 12 hours of babysitting is $120.

Next, Hours remaining from his maximum working hours and amount to be earned to earn more to achieve his minimum earning.

Hours remaining= 16\ hours- 12\ hours= 4\ hours

∴ 4 hours remaining after he have worked for babysitting.

Amount to be earned to achieve minimum goal= \$ 140-\$ 120= \$ 20

∴ Amount to be earned to achieve minimum goal on the week is $20.

If Evan work for 2 hours, then he can earn= 2 \ hours \times \$ 8= \$ 16

$16 will not fulfill the minimum earning criteria of $140.

However, if Evan work for 3 hours, then he can earn= 3 \ hours \times \$ 8= \$ 24

∴ Minimum 3 hours Evan have to work for walking dogs to get minimum earning of the week.

Evan can work for 4 hours also for walking dogs to get additional earning. As his Total working hour will be 12\ hours + 4\ hours= 16\ hours only, which is fulfilling the criteria of maximum 16 hours.

5 0
3 years ago
Simplify 3√-1000 and 3√g6h30
aliya0001 [1]

Answer:

\sqrt[ ]{1000}

Step-by-step explanation:

3 \sqrt{ - 1000}  = 3 \sqrt{1000i {}^{2} }  \\  = 3 \times 10i \\  = 30i \\ (in \: complex \: form \: i {}^{2}  =  - 1)

6 0
3 years ago
What is the exact circumference of the circle?<br> 101 it<br> 201 ft<br> 401 ft<br> 600 ft
Korvikt [17]

Given:

The diameter of a circle = 20 feet

To find:

The exact circumference of the circle.

Solution:

We know that the radius is half of the diameter of the circle.

The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.

The circumference of the circle is:

C=2\pi r

Where, r is the radius.

Substituting \pi = 3.14, r=10, we get

C=2(3.14)(10)

C=(6.28)(10)

C=62.8

Therefore, the exact circumference of the circle is 62.8 feet.

Note: All options are incorrect.

7 0
2 years ago
Quadratic formula 3x^2 - 2x + 5 = 0
Tanzania [10]

Step-by-step explanation:

The given quadratic equation is :

3x^2 - 2x + 5 = 0

We need to solve the given equation. The formula used to solve a quadratic equation is :

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

We have, a = 3, b = -2 and c = 5

So,

x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667

Hence, this is the required solution.

4 0
3 years ago
Alinn flipped a coin 60 times. The coin landed heads up 33 times and tails up 27 times.
jeyben [28]
33/60= 0.55
Since 55 is in the hundredth place it is 55% probability of the coin landing heads up
3 0
2 years ago
Read 2 more answers
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