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rodikova [14]
3 years ago
7

Solve for m 1/C+1/m=1/z

Mathematics
1 answer:
9966 [12]3 years ago
4 0
Answer:  " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given:  1/C + 1/m = 1/z ;  Solve for "m".

Subtract  "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C  ;

to get:  1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________

mzC {1/m = 1/z − 1/C} ;

to get:  zC = mC − mz ;

Factor out an "m" on the "right-hand side" of the equation:

zC = m(C − z) ;  Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;

zC / (C − z) = m(C − z) / m ;  to get:   24/8 = 3  24

zC/ (C − z) = m ;   ↔   m = zC/ (C − z) .
___________________________________________________
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The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram
boyakko [2]

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .  

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

B is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

C is correct.  If the scale factor is greater than 1, the image is an enlargement.

D is not correct.  If the scale factor is 1, the figure and the image are congruent.

8 0
3 years ago
16. Find the final balance in an account with $730 invested at 3% annual simple interest for 4 years. (1 point) $735.48 $87.60 $
podryga [215]

Answer:

$817.60

Step-by-step explanation:

Simple interest has the formula:

Simple Interest = Principal * rate * time

here,

Principal amount is $730

The rate of interest is 3%, which is 3/100 = 0.03

The time length in years is given as 4

We find the interest amount first:

SI = P * r * t

SI = 730 * 0.03 * 4

SI = 87.6

We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST

So,

Final Balance = 730 + 87.6 = $817.60

7 0
3 years ago
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?
Paha777 [63]
B (2+x) +3y

Other examples include <span>(14 + 6) + 7 = 14 + (6 + 7)
because </span><span>Adding 14 + 6 easily gives the sum of 20 to which we can add 7. The right hand side of the equation is where we add 14 and 13. Both sides will result in 27.</span>
8 0
3 years ago
Write the phrase "one more than the product of six and nine" as a mathematical expression.
frosja888 [35]

Answer:

<em>C. 6 ⋅ 9 + 1 </em>

Step-by-step explanation:

Start with the multiplication:

"one more than the product of six and nine"

6 ⋅ 9

Now take care of the addition by adding 1 to the product.

"one more than the product of six and nine"

6 ⋅ 9 + 1

Answer: C. 6 ⋅ 9 + 1

4 0
3 years ago
Tom buys a shirt for $22.00 plus 7% sales tax. His cousin buys a shirt for $18.00 plus 4% sales tax. a. How much do Tom and his
likoan [24]
Tom is spending more on tax totaling 23.54
while his cousin is only spending 18.72

How to get tax with percent take base price ex:22+ 7%

transform percent into a decimal : .07

now multiply the decimal times base price : 22x0.07

tax is a $1.54 now add that to your base price 22

and you get your total $23.54
4 0
3 years ago
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