Answer:
2
Step-by-step explanation:
y^m x y^n = y^m+n
so y^-4 x y⁶ = y^-4+6
-4+6=2
NOTE: ^ means to the power of
e.g: y^2 is y² :)
Answer:
55 miles
Step-by-step explanation:
x=the number of miles per hour
130(Miles)/150(minute) = x(Miles)/60(Minuet)
150x=2800
7800/150=52
Answer:
20 months.
Step-by-step explanation:
Let the number of months be represented as x
Apartment A is $1200 per month and requires a security deposit of $1000.
= $1200 × x + $1000
1200x + 1000
Apartment B is $1175 per month and requires a security deposit of $1500.
= $1175 × x +$1500
1175x + 1500
Apartment A = Apartment B
1200x + 1000 = 1175x + 1500
Collect like terms
1200x - 1175x = 1500 - 1000
= 25x = 500
x = 500/25
x = 20
Therefore, the costs for both apartment A and B will be the same after 20 months.
We have point
, so first calculate
. There will be:
Now, we can write the equation of the normal line as:
Normal line (and every line) crosses x-axis when y = 0, so coordinates of A:
Answer:
c. 3
Step-by-step explanation:
y = k sin(5x) + 2 cos(4x)
y' = 5k cos(5x) − 8 sin(4x)
y" = -25k sin(5x) − 32 cos(4x)
y'' + 16y = -27 sin(5x)
(-25k sin(5x) − 32 cos(4x)) + 16(k sin(5x) + 2 cos(4x)) = -27 sin(5x)
-25k sin(5x) − 32 cos(4x) + 16k sin(5x) + 32 cos(4x) = -27 sin(5x)
-9k sin(5x) = -27 sin(5x)
k = 3
