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salantis [7]
4 years ago
10

What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please.

Mathematics
1 answer:
RUDIKE [14]4 years ago
5 0

Answer:

m = 1/10

Step-by-step explanation:

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Find the fifth roots of 243(cos 260° + i sin 260°)
Charra [1.4K]
<span>use De Moivre's Theorem:

⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)

= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)

= 3 (cos 52° + i sin 52°)

z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root


there are 5 roots so the angle between each root is 360/5 = 72°

then the other four roots are:

z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)

z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)

z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)

z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
3 0
3 years ago
What is the slope of the line?
slega [8]

-1 because it goes from quadrant 4 to quadrant 2

4 0
4 years ago
Read 2 more answers
Mr. McGloughlin’s horses eat a total of 19 liters 2 deciliters of rolled oats, and drink a total of 46 liters 4 deciliters of wa
Hunter-Best [27]

Answer:

459.2 liters.

Step-by-step explanation:

Let us convert our given amount of rolled oats and water in deciliters.

1 liter = 10 deciliters

19 liters = 19*10 deciliters = 190 deciliters.

\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}

\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}

46 liters=46*10=460 deciliters

\text{Total amount of water consumed per day}=(460+4)\text{ deciliters}

\text{Total amount of water consumed per day}=464\text{ deciliters}

Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.

\text{Total weekly consumption of oats and water}=7*(464+192)\text{ deciliters}

\text{Total weekly consumption of oats and water}=7*(656)\text{ deciliters}  

\text{Total weekly consumption of oats and water}=4592\text{ deciliters}

Let us convert weekly consumption of water and oats into liters.

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10\frac{\text{ deciliters}}{\text{liter}}}  

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}

\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}

\text{Total weekly consumption of oats and water}=459.2\text{ liters}

Therefore, total weekly combined consumption of oats and water is 459.2 liters.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4(6x + 2) - 5(2x - 1)?
Alecsey [184]

Answer:

24x+8+−10x+5

Step-by-step explanation:

Do distributive property.

4*6x=24x

4*2=8

5*2x=10x

5*-1=-5

So 24x+8+−10x+5 is your answer.

3 0
4 years ago
How to Subtract this and put in Standard form?
krek1111 [17]

Answer:

-12a2 + 9a - 5

Step-by-step explanation:

the 2 should be small

4 0
3 years ago
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