Answer:
Step-by-step explanation:
speed =65m/mins = 65/60 = 1.083m/s
Time taken to go down,
t = 4485/1.083
= 4141.37 s
Total time gotten = 12 hrs = 12*60*60
= 43200s
Amount of time left to conduct experiment
= 43200-4141.37
= 39058.63s
= 39058.63/3600
= 10.85 hrs
Answer:
k = - 14
Step-by-step explanation:
given that (x - 5) is a factor of the polynomial then x = 5 is a root and
x³ - x² + kx - 30 = 0 for x = 5, that is
5³ - 5² + 5k - 30 = 0
125 - 25 + 5k - 30 = 0
70 + 5k = 0 ( subtract 70 from both sides )
5k = - 70 ( divide both sides by 5 )
k = - 14
Answer:
Step-by-step explanation
let's use g for golf and b for batting cages
So let's start with Sylvester
he plays 5 rounds of mini golf so 5g
and he takes 4 turns in the batting cages so 4b
and he pays 60 dollars for this
SO his equation is 5g+4b=60
Now onto Lin
3g for 3 rounds of golf
6b for 6 turns in the batting cages
He pays 45 dollars
SO his equation is 3g+6b=45
Both equations:
5g+4b=60
3g+6b=45
Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5
15g+12b=120
-15g-30b=-225
Now the g will cancel out when you add both equations
-18b=-105
b=105/18 which is about 5.83 dollars
Now plug in 105/18 into any of the original equations and solve for g
Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
The students would show no regard for the money being spent because it is not their money
