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Darina [25.2K]
3 years ago
15

Solve for a given 2e^a =4b

Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

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If pq = 23 and uv = 1/23, find the value of u×q×v×p. Explain which properties you used
zhannawk [14.2K]

Remember that multiplication is <em>commutative</em>, which means the order in which we multiply things doesn't matter.

The order of u × q × v × p (which we can abbreviate uqvp) isn't as important as the fact that <em>we're multiplying all four values together</em>. We could just as easily rewrite the expression as pquv, and it'd represent the same value.

To find this value then, we can simply multiply pq and uv - the values we already know - together.

If we start with the expression pq = 23, we can multiply either side by uv (taking advantage of the <em>multiplication property of equality) </em>to get

pquv = 23uv

And since we know that uv = 1/23, we can use the <em>substitution property of equality</em> to replace the uv on the right side with 1/23:

pquv = 23(1/23)

The <em>inverse property of multiplication </em>states that any number multiplied by its inverse (its reciprocal) gives us 1. 23 and 1/23 are reciprocals of each other, so 23(1/23) = 1, which means

pquv = 1

Finally, going back to the second paragraph, we can use the <em>commutative property of multiplication </em>to rearrange the left side of the equation, giving us the solution

uqvp = 1

3 0
3 years ago
Reedy's Rocking Chairs employs 10 people. The CEO makes $500,000 each year, and the 9 other employees make $50,000 each. What me
Tresset [83]
What measure would give you the best idea of what a typical employee makes?
500,000/10 = 50,000         
                    +50,000
19x = 100,000
19x/19 = 100,000/19
x = $5,263.15
       
4 0
3 years ago
What is 617 rounded to the nearest ten?​
Ne4ueva [31]

Answer:

620

Step-by-step explanation:

7 is near 10 so you round to the next number on the 10 table

7 0
3 years ago
Read 2 more answers
This table discluding the 18
Neporo4naja [7]
The table is times 16      
5 0
3 years ago
Writing the quation for a line that goes through the following points (0,3) (1,1
Tomtit [17]

\huge\boxed{y=-2x+3}

Start off by finding the slope of the line with the formula \frac{y_2-y_1}{x_2-x_1}.

Substitute the values. \frac{1-3}{1-0}

Subtract. \frac{-2}{1}

Simplify. -2

-2 is the slope of the line.

Now, use the point-slope formula to create an equation, where m is the slope and (x_1, y_1) is a known point on the line. y-y_1=m(x-x_1)

Substitute the values. y-3=-2(x-0)

Simplify. y-3=-2x

Move the 3 to create the final equation in slope-intercept form. \large\boxed{y=-2x+3}

5 0
3 years ago
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