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Lorico [155]
3 years ago
5

How to tell the different properties in algebra

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
There are about 10 properties that you need to remember. 

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What is the volume of a cube with a side length of 3t^5units?<br>Cube V = s^3​
balandron [24]

Answer:

V=27t^{15}\ units^3

Step-by-step explanation:

we know that

The volume of a cube is equal to

V=s^{3}

where

s is the side length of the cube

we have

s=3t^5\ units

substitute in the formula

V=(3t^5)^{3}

V=(3^3)(t^5)^{3}

Remember the power rule

(a^m)^n=a^{m*n} ----> multiply the exponents

so

V=(3^3)(t^{5*3})=27t^{15}\ units^3

6 0
2 years ago
Read 2 more answers
What is the value of x in the equation 4(2x + 10) = 0? (1 point)
miskamm [114]

Answer:

x = -5

Explanation:

4(2x + 10) = 0

[ Simplify both sides of the equation ]

4(2x + 10) = 0

(4)(2x) + (4)(10) = 0 [Distribute]

8x + 40 = 0

[ Subtract 40 from both sides ]

8x + 40 − 40 = 0 − 40

8x = −40

[ Divide both sides by 8 ]

8x  / 8 = −40 / 8

x = -5

4 0
2 years ago
Identify the "inside function" u = f(x) and the "outside function" y = g(u). Then find dy/dx using the Chain Rule.
skad [1K]
DfLet f(x)=\sec x and g(x)=\sqrt x. Then

y=\sec\sqrt x=\sec(g(x))=f(g(x))=f\circ g(x)

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}

where u=g(x)=\sqrt x, so that y=f(g(x))=f(u)=\sec u. We have

\dfrac{\mathrm du}{\mathrm dx}=\dfrac1{2\sqrt x}
\dfrac{\mathrm d\sec u}{\mathrm du}=\sec u\tan u

and so

\dfrac{\mathrm dy}{\mathrm dx}=\sec u\tan u\dfrac{\mathrm dy}{\mathrm du}=\dfrac{\sec\sqrt x\,\tan\sqrt x}{2\sqrt x}
5 0
3 years ago
What is the positive solution of -12x = 8x^2 - 13.5?
jekas [21]
I hope this helps you

6 0
3 years ago
Given an=n^3-2n what is a3<br><br> please don't attach file!!!!
sineoko [7]

Answer:

21

Step-by-step explanation:

Try using this notation:  a(n)     and not    an.

an=n^3-2n becomes    a(n) = n^3 - 2n.

Then a(1) = 1^3 - 2(1) = 1 - 2 = -1

         a(2) = 2^3 - 2(2) = 8 - 4 = 4

         a(3) = 3^3 - 2(3) = 27 - 6 = 21

5 0
2 years ago
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