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3 years ago

Type in expanded form. Use parentheses to indicate multiplication. 10^4

Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

10^4 is the same as saying, 10·10·10·10 or 10,000

mojhsa [17]3 years ago

3 0

10^4 equals (10)(10)(10)(10) in expanded form

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Simplify the radical expression 4 square root 81x^20y^8

Dimas [21]

The simplified expression is $3x^5 y^2$

Step-by-step explanation:

The radical expression to simplify is

$\sqrt[4]{81x^{20}y^8}$

We notice the following:

$81=3^4$

And using the property

$(x^a)^b=x^{a\cdot b}$

we can write:

$x^{20}=(x^5)^4$

$y^8 = (y^2)^4$

So the argument of the radical can be written as

$\sqrt[4]{(3)^4(x^5)^4(y^2)^4} =\sqrt[4]{(3x^5y^2)^4}$

And now by using the property

$\sqrt[n]{a^n}=a$

We find:

$\sqrt[4]{(3x^5y^2)^4}=3x^5 y^2$

Learn more about simplification of expressions:

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3 years ago

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Which expression is the result of solving the equation ar – b = cy for ? (For a 70).

Contact [7]

Answer:

4th option, (cy+b)/a

Step-by-step explanation:

By algebraic manipulation, we add b to both sides, then divide by a to isolate x.

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3 years ago

there are 25 kids who are playing with a parachute, but 45 kids in total can play with the parachute, how many more kids can joi

Fynjy0 [20]

20. 25 + 20 = 45. hope this helps :)

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3 years ago

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san4es73 [151]

Answer:

Alemania / Germany

Step-by-step explanation:

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The height of a triangle is 3cm less than twice the base. The area is 10cm2

Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

$H=2B-3$

and

$\frac{B \times H}{2}=10$

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

$\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4$

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

$H=2(4)-3\\H=8-3\\H=5$

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3 years ago