1. D. 4 x 4 x 4 x 4 x 4
2. B. 6³ (6 x 6 x 6 = 216)
3. D. (8², 100^1, 11², 5³)
4. D. Sum (There's No addition anywhere in that equation)
5. C. h (Because there's no number before the h²)
6. C. 24
7. C. Raise 9 to the 2nd power (Follow PEMDAS, after doing the parentheses, you need to do the exponents, and C. you need to the exponents)
8. A. 4xy
9. C. 18 (I followed PEMDAS, and received the answer 18)
10. B. 49
----------------------------------------------------------------------------------------------------------------
<em>I hope this helps, and Happy Holidays! :)</em>
Step-by-step explanation:
1 km = 1000 m
1 hour = 3600 s
so,
37.6 km = 37,600 m (still per hour or per 3600 s).
in 1 second now that is
37600/3600 = 10.44444444... m/s
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
The error is in the second step they subtracted 3 from both sides but it was a 3x, which you can not do.
Correction.
9x+18+3x=1
12x+18=1
12x=-17
x=-17/12
Wait, could you please restate what I'm supposed to answer xD Thank you
