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3 years ago

Choose the correct simplification of the expression (8x2)3.

Mathematics

2 answers:

UNO [17]3 years ago

7 0

Simplify the expression and you get 512x^6.
Hope this helps.

REY [17]3 years ago

3 0

Answer:

( 8x²)³ = 512 $x^{6}$ .

Step-by-step explanation:

Given : ( 8x²)³.

To find : simplification.

Solution : We have given that ( 8x²)³.

We can write it (8)³ * (x²)³.

⇒ 512 $x^{6}$ .

Therefore, ( 8x²)³ = 512 $x^{6}$ .

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5^(-x)+7=2x+4 This was on plato

Setler79 [48]

Answer:

Below

I hope its not too complicated

$x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

Step-by-step explanation:

$5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}$

$Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}$

$\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x$

$\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

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3 years ago

Please help me find out which value is closest to the perimeter of the window.

Snezhnost [94]

Answer:

10.35 is the closest to the perimeter of the window.

Step-by-step explanation:

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3 0

3 years ago

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Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand

Tresset [83]

Answer:

(x-3)(x^2-7) = x^3 -3x^2 -7x + 21

just change the sign of the root and put x in front of it, then multiply the factors all together

(x-3)(x-sqr7)(x+sqr7) roots come in conjugate pairs to eliminate irrational coefficients

(x-sqr7)(x+sqr7) = x^2-7. similar to (a-b)(a+b) = a^2-b^2

Step-by-step explanation:

6 0

3 years ago

Differential equations by separation of variables

MissTica

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

xdy/dx = 4y
xdy = 4ydx 
∫ dy/y =∫ 4dx/x 
ln(y) = 4ln(x) + C 
y = e^[4ln(x)] e^C 
y = e^[ln(x)^4] e^C 
y = Cx^4 answer

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3 years ago

A tank is 4 feet long, 6 feet wide and 10 feet tall. How much water can that tank hold?

prohojiy [21]

Answer:

Volume = 240 feet³

Step-by-step explanation:

We'll find it's volume

Volume = $Lenth *Width*Height$

Where Length = 4, Width = 6, Height = 10

Volume = 4 * 6 * 10

Volume = 240 feet³

4 0

3 years ago