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olga nikolaevna [1]
3 years ago
12

Simplify the expression.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

\large\boxed{D.\ 2x^2y\sqrt[5]{7xy^3}}

Step-by-step explanation:

\sqrt[5]{224x^{11}y^8}\\\\=\sqrt[5]{(32)(7)x^{5+5+1}y^{5+3}}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt[5]{(2^5)(7)x^5x^5x^1y^5y^3}\\\\\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[5]{2^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{y^5}\cdot\sqrt[5]{7xy^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=2\cdot x\cdot x\cdot y\cdot\sqrt[5]{7xy^3}\\\\=2x^2y\sqrt[5]{7xy^3}

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HELP PLEASE THANK YOU! :) 50 POINTS !!!!!!!1
a_sh-v [17]

Answer:  0.88

Step-by-step explanation:  

Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.

Thus, when we make the Venn diagram of the given situation according to the given information,

Total number of people = 50

Number of people who like coffee, tea and milk = 19

Number of people who like coffee, tea but not milk = 16

Number of people who like coffee, milk but not tea = 2

Number of people who like tea, milk but not coffee = 5

Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)

= 50 - ( 16 + 19 + 5) = 50 - 46 = 4

Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44

⇒ Probability that this person likes tea = \frac{\text{ Total person who like to drink milk}}{\text{ Total number of people}} = \frac{44}{50} = 0.88





3 0
3 years ago
What ratio is equivalent to 5/45
ad-work [718]

Hi There!

Step-by-step explanation:

5/45 = 1/9

Answer:

A ratio that is equivalent to 5/45 is 1/9!

Hope This Helps :)

5 0
3 years ago
1 matrix question help (with picture)
Dominik [7]

Answer:

  a = 9/2

Step-by-step explanation:

In order for the equation to be true, the value of the scalar multiplier must be ...

  15/3 = -10/-2 = 35/7 = 5

So, you're solving ...

  (2/3)a + 2 = 5

  (2/3)a = 3 . . . . . . subtract 2

  a = 9/2 . . . . . . . . multiply by 3/2

3 0
3 years ago
Can someone do #1 and #2 I don't really get the answer. My teacher hasn't explain anything. He just gave us the paper and we got
Elenna [48]
1) f(x) + g(x)

= 7√x + 4 + 2√x - 2

= √x(7 + 2) + 2

= 9√x + 2  [ Final Answer ]

2) f(x) - g(x)

= 7√x + 4 - (2√x - 2)

= 7√x + 4 - 2√x + 2

= √x(7 - 2) + 6

= 5√x + 6   [ Final Answer ]

Hope this helps!
5 0
3 years ago
Pls helpppppp this is a math emergency!
netineya [11]

Answer:

19.4in

Step-by-step explanation:

1) formula for area of a triangle:

(b*h)/2=a

the area and height are already given so lets substitute them in the formula.

(b*23.8)/2=230.86

1) multiply by 2 on both sides

b*23.8=461.72

divide by 23.8 on both sides

b=19.4

the base is 19.4 in

hope this helps

3 0
2 years ago
Read 2 more answers
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