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3 years ago

Which is more 2/3 or 2/4

1 answer:

6 0

The answer would be 2/3 is greater than 2/4. Two- thirds is equivalent to 0.67 while 2/4 is equivalent to 1/2 or 0.5. Of course, 0.67 is greater than 0.5.

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Write the equation <br> it passes through (0,-2) and is perpendicular to the graph of y=5x+7

romanna [79]

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

6 0

3 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

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

Step-by-step explanation:

<u>Properties of Logarithms</u>

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

3 years ago

Help! What's the slope?

Sliva [168]

Answer:

2/7

Step-by-step explanation:

You do the number it goes up, 1 to 3 in this case, over the number it goes sideways, 3 to -4. My teacher always said rise over run to help us remember.

7 0

3 years ago

Which statement about corollaries is true? A. Corollary is another term for theorem B. A corollary is a unique proposition unrel

djyliett [7]

D I believe...........

4 0

3 years ago

Read 2 more answers

In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product.

Trava [24]

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

7 0

3 years ago