What is P(a and b) A. 4/7 B. 5/7 C. 3/7 D.2/7

What is the simplest form of this expression? 2(y-1) 8

NemiM [27]

I hope this works

2(y-1)8=

16(y-1)

7 0

2 years ago

The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container?

Olegator [25]

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons. 

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

Find out more about this at brainly.com/question/11459708.

6 0

2 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

Properties of Logarithms

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

2 years ago

X5+12x3-5x÷2x6+4x3+x2-2

TEA [102]

22 I think If I worked it out right

7 0

2 years ago

Ariana plans to use $260 less than three-fourths of savings to buy a car. If the purchase price of the car is 9,340, how much do

tangare [24]

She has $12,488 in savings

Step-by-step explanation:

Ariana plans to use $260 less than three-fourths of savings to buy a car.

If the purchase price of the car is 9,340, we need to find how much

she has in savings

To find the savings

Assume that she has $x in savings
Write an equation of x
Solve the equation to find x

∵ She has $x in savings

∵ She plans to use $260 less than three-fourths of savings

- Three-fourths means $\frac{3}{4}$ and less than means subtract

∴ She plans to use $\frac{3}{4}$ x - 26

∵ The purchase price of the car is 9,340

- Equate the expression of x by 9,340

∴ $\frac{3}{4}$ x - 26 = 9,340

Now let us solve the equation

∵ $\frac{3}{4}$ x - 26 = 9,340

- Add 26 to both sides

∴ $\frac{3}{4}$ x = 9,366

- Divide both sides by $\frac{3}{4}$

∴ x = $12,488

She has $12,488 in savings

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

7 0

2 years ago