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Fantom [35]
3 years ago
8

Simplify the expression.

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

C. \huge\frac{1}{3x {y}^{2}  {z}^{4}}

Step-by-step explanation:

(9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\   \\  = ( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\  \\  =  \frac{1}{( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{ \frac{1}{2} }}  \\  \\  =  \frac{1}{(3x {y}^{2}  {z}^{4})^{2 \times  \frac{1}{2} }  }  \\  \\  =  \frac{1}{3x {y}^{2}  {z}^{4}} \\  \\  \red{ \bold{ \therefore \: (9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} } =  \frac{1}{3x {y}^{2}  {z}^{4}} }}\\

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
Which of the following figures has a circumference that is closest to 121 inches?
Eduardwww [97]

Answer:

B

a circle with a diameter of 19.3 inches

3 0
2 years ago
What is the sum of the interior
frutty [35]
N is the amount of sides
sum=13 times 180 =2340
7 0
3 years ago
I need help with 12-14. One answer will get thanks. The highest amount of answers will get brainliest.
boyakko [2]
12. Make equation and plug in

13. Proportion

14. Finding a constant rate, and then manipulate




12. Where x is miles driven, and y is answer, and z is days
      19.95z+0.15x=y
      Plug in two values
      19.95 x 2 + 0.15 x 250 = y
      39.93+37.5 = y
      y=77.43

13. 5:2 as 175:x 
      5/2 = 175/x
      x = 70
      70+175=245

14. 260:5 = x:1
      260/5=x/1
      x = 52
      
      52:1 = y:9
      52/1 = y/9
      y = 468

I hope you understand the process.


7 0
3 years ago
If you get this I’ll mark you brilliance
djyliett [7]

Answer:

1256cm^{3}

Step-by-step explanation:

Use the formula for the volume of a cylinder V=3.14(r^{2}) h so then you plug in the values to get 1256cm^{3}

6 0
3 years ago
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