Answer:
17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16
Answer:
the slope of the line is -2
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
Answer:
The train appears to go the same distance each minute
9mins
The cost for each person appears to be the same
Step-by-step explanation:
So for the first qu you basically want to find the distance the train travels each minute, so for
3mins : 9km
therefore
1min : 3km
basically divide 9 by 3
then the train travels 27km, how long does it take?
if 3km = 1min
then 27/3 = 9
so it takes the train 9 minutes
Then for the second qu you'll do the same thing
2ppl : $16
so one person : 16/2
so 1 person costs $8
so for 8 ppl you multiply 8 by 10
8ppl : $80
hope this helps:))))
