4.2m
10N/kg
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Answer:
134/300 or 67/150
Step-by-step explanation:
the LCM of 15 and 100 is 300. 15 *20 is 300 so we multiply both the numerator and denominator of 1/15 by 20 to get 20/300, with 38/100 we multiply by 3 to get 114/300. Now we add 20/300 and 114/300 to get 134/300 which has a common factor of 2 so we can simply it to 67/150
Answer:
x can have two complex solutions, which are:
-2 + i
-2 - i
Step-by-step explanation:
2x² + 8x + 10 = 0
4x² + 16x + 20 = 0
4x² + 16x + 16 = -4
(2x + 4)² = -4
2x + 4 = √-4
2x = -4 ± i√4
2x = -4 ± 2i
x = -2 ± i
So x is equal to -2 + i and -2 - i.
Answer:
see below
Step-by-step explanation:
exponent to log:
= c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 -----> 
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ(
)
remember change of base is
, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e
Answer:
Yards: 83.58
Feet: 250.75
Inches: 3009
Step-by-step explanation:
Yards: 1 yard = 36 inches
3009/36= 83.58
So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.
Feet: 1 foot = 12 inches
3009/12= 250.75
Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.
Inches: It's already in inches :)
I hope this isn't confusing and I could help!