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3 years ago

I need help with this prob

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

3x +2=180//////////////////

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A liquid storage container is being filled at a constant

guajiro [1.7K]

Answer:

16/3

Step-by-step explanation:

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4 years ago

Which integer has the least value (-17,-7,-12,2)

butalik [34]

-17 because if there is a negative sign in front the greater the number the less value in has due to the negative sign

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2 years ago

Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x = 9-2 (-1/3 x + 3)

AlladinOne [14]

Answer:

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thats the answer :)

-maddie

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2 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

How many grams of sugar must be added to 60 grams of a solution that is 32% sugar to obtain a solution that is 50% sugar?

liraira [26]

60/100=0.6
0.6x32=19.2
0.6x50=30
30-19.2=10.8

The answer is 10.8 grams of sugar must be added to obtain a solution that is 50% sugar

6 0

3 years ago