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fredd [130]
3 years ago
10

Simplify the expression write the expression in scientific notation (5 times 10^7) (6 times 10^4)

Mathematics
2 answers:
Crank3 years ago
8 0

5 times 10^7= 50000000

6 times 10^4= 60000

<span>(50000000)</span><span>(60000)</span>

<u>Answer</u>
3000000000000
Vitek1552 [10]3 years ago
8 0

You can multiply the coefficients and powers separately:


(5 \times 10^7) \times (6 \times 10^4) = (5 \times 6) \times (10^7 \times 10^4)


Solve the first set of parentheses:


5 \times 6 = 30


Solve the second set of parentheses:


10^7 \times 10^4 = 10^{7+4} = 10^{11}


Now the expression can be written as follows:


30 \times 10^{11}


You can divide 30 by 10, so you can add one to the power for 10^11 and get your answer:


30 \times 10^{11} = \boxed{3 \times 10^{12}}

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Need help with my homework ​
Volgvan

Answer:

\displaystyle y=\frac{16-9x^3}{2x^3 - 3}

\displaystyle y=-\frac{56}{13}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3

Simplify the radical with the cube:

\displaystyle x^3=\frac{3y+16}{2y+9}

Multiply by 2y+9

\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)

Simplify:

\displaystyle x^3(2y+9)=3y+16

Operate the parentheses:

\displaystyle x^3(2y)+x^3(9)=3y+16

\displaystyle 2x^3y+9x^3=3y+16

Subtract 3y and 9x^3:

\displaystyle 2x^3y - 3y=16-9x^3

Factor y out of the left side:

\displaystyle y(2x^3 - 3)=16-9x^3

Divide by 2x^3 - 3:

\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}

ii) To find y when x=2, substitute:

\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}

\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}

\displaystyle y=\frac{16-72}{16- 3}

\displaystyle y=\frac{-56}{13}

\mathbf{\displaystyle y=-\frac{56}{13}}

8 0
3 years ago
if you do this and explain how to do it i will rait you 5 stars and give you a brainlyieist it has to be simplify 2(5+3x)+(x+10)
Paha777 [63]

Answer:

20+7x

Step-by-step explanation:

you'd multiply 2 by 5 and 2 by 3x which will give you 10+ 6x; Then add the others : 2(5+3x)+(x+10) would be 10+6x+x+10 so its 20+7x.     .

8 0
3 years ago
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mr Goodwill [35]

Answer: x = \pm2\sqrt{7}\\\\

Work Shown:

x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\

This can be rewritten into x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}

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