Solve (7.93205×10^8) • (3.12×10^-8)

2.4747996 * 10^1

Step-by-step explanation:

When working in scientific notation, (a * 10^b) * (c*10^d)

Multiply a*c   then add 10 ^(b+d)

Then check that the product of ac is between 1 and 10, if not then we need to adjust so that it is

(7.93205×10^8) • (3.12×10^-8)

(7.93205) • (3.12) =24.747996

10^(8-8) = 10^0

24.747996  needs to be adjusted to be between 1 and less than 10

we move the decimal 1 to the left so we add 1 to the exponent

2.4747996 * 10^0+1

2.4747996 * 10^1

2.4747996 × 10¹

Step-by-step explanation:

(7.93205×10^8) • (3.12×10^-8)

(7.93205 × 3.12) + (10^-8 × 10^8)

24.747996 × 10⁰

2.4747996 × 10¹

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: