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polet [3.4K]
3 years ago
13

Square root of 3x^4 times square root of 5x^2 times square root of 10.

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

Answer:

Step-by-step explanation:

As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):

\sqrt{150x^6  The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:

\sqrt{25*6*(x^3)^2} and pull out the perfect squares to get

5x^3\sqrt{6}

Ipatiy [6.2K]3 years ago
3 0

Answer:

5x^3\sqrt{6}

Step-by-step explanation:

We need to simplify

\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}

Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.

= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}

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Answer:

y = -13x + 231

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3 0
3 years ago
I would like to buy a sandwich and pancakes, which would be $8.50, with a 6% tax and 20% gratuity, how much would that be all in
Luda [366]

Answer:

9.01 maybe my math might be wrong

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Pls helpp
irina1246 [14]
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

7 0
1 year ago
A dome of a building is in the form of a hemisphere from inside it was whitewashed at the cost of rupees 4989.60 if the cost of
Luda [366]

Answer: 249.48\ m^2; 369.168\ m^3

Step-by-step explanation:

Given

Cost of white-washing =Rs. 4989.60

Rate =20 per meter square

So, inside area of = \dfrac{4989.60}{20}=249.48\ m^2

The surface area of dome= 4\pi\ r^2=249.48

4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m

The volume of air in the dome V=\frac{4}{3}\pi r^3

V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3

6 0
3 years ago
4(3x+5)= -4
NeX [460]

Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

12x+20=-4

Then you will combine like terms

12x+20=-4

     -20  -20

12x=-24

Then you will divide 12 to isolate x

\frac{12x}{-24} =\frac{-24}{-24}

Obviously, -24 cancels out and you would get x=-2

4 0
3 years ago
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