Answer:
29°
Step-by-step explanation:
SMH sorry it wasnt 
Step-by-step explanation:
Step 1:
A . 5 with an exponent of 3 times 5 with an exponent of -4
= 
= 
= 
= 1/5
B . (1/4) with an exponent of 3 times (1/4) with an exponent of 2
= 
C. Same as above
D. 
Step 2 :
All the above expressions have a value between 1 and 2
I think it is B because it has a continuous line soy it couldn’t be a. It has negative numbers so it couldn’t be D. And it has negative numbers so couldn’t be C
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Answer:
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
Step-by-step explanation:
Micheal runs 3 miles in one hour or 60 minutes.
In one minute he runs 3/60= 1/20 or 0.05miles.
Jack runs 4.5 miles in one hour or 60 minutes.
In one minute he runs 4.5/60= 45/600= 9/120= 3/40 or 0.075 miles.
So Jack is 0.075/0.05 = 1.5 times faster than Micheal.
or Micheal is 1.5 times slower than Jack.
Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles
Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles
So at 3 pm both will have covered equal distance= 3miles.
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
