Answer:
Hello,
answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)
Step-by-step explanation:
A: delta=12²-4*2*18=0 not negative
B: delta= 5²+4*3*1=37 not negative
C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex
D: delta 16²-4*2*2=240 not negative
Answer: 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
___________________________________________
Explanation:
_____________________________________
Note: "h" = time in "hour(s)" ;
"cm" = length in "centimeter(s)" ;
"min" = time in "minute(s)";
"m" = length in "meter(s)"
_____________________________________
Note these EXACT conversions:
_________________________________
100 cm = 1 m ;
60 min = 1 h ;
_________________________________
To solve:
Given: 17 cm / min ; convert to: ________ m / h
__________________________________________________
(17 cm / min)* (1 m /100cm) * (60 min / 1 h) = _______ m / h
__________________________________________________
The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
___________________________________
We are left with (17 *1 m * 60) / (100 * 1 h) = [(17 * 60) m] / [100 h]
= [(17 *60) / 100 ] meters per hour.
________________________________________________________
To simply: (17 * 60) / 100 ;
_________________________
Method 1): To simplify: (17 * 60) / 100 ;
→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;
→Cancel out the "20's "; and rewrite as:
→ (17*60) / 100 = (17*3)/5 = 51/5
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
________________________________________________________
Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
___________________________________
→ (17 * 60) / 100 = 1,020 /100
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
__________________________________
Method 3) To simplify: (17 * 60) / 100 ;
_____________________________________
→ (17 * 60) / 100 = ? ;
→ Divide BOTH the "100" AND the "60" by "10";
→ 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ;
____________________________
→ (17*60)/100 = (17*6)/10 = 102/10
= 10.2 meters per hours; or, write as: 10 ⅕ meters per hour.
____________________________________________________
Answer:
Future Value= $112.72
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $100
Number of periods (n)= 2*12= 24 months
Interest rate (i)= 0.06/12= 0.005
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 100*(1.005^24)
FV= $112.72
9514 1404 393
Answer:
12,566 ft ≈ 2.38 miles
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd
For a diameter of 4000 ft, the circumference of a circular crater is about ...
C = (4000 ft)(3.141593) ≈ 12,566 ft
At 5280 ft per mile, that distance is about ...
(12,566 ft)/(5280 ft/mi) ≈ 2.38 mi
The distance around the crater is about 12,566 ft or 2.38 miles.
Answer:
4.5 feet = 1.5 yards
Step-by-step explanation:
1 yard equals 3 feet
Then:
1 ----- 3
x -----4.5
Hope this helps
