Answer:
Step-by-step explanation:
We can solve this question using proportion
Perimeter of the square/Time is takes to unlock
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence, the perimeter of the square after 1.5 seconds is:.x = unknown
32/2.5 = x/1.5
Cross Multiply
2.5x = 32 × 1.5
x = 32 × 1.5/2.5
x = 19.2 centimeters
Answer:
x = 3
Step-by-step explanation:
To find the x-coordinate, substitute y = 8 into the equation abd solve for x
5x - 7 = 8 ( add 7 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Thus (3, 7) is a solution to the equation
https://answers.yahoo.com/question/index?qid=20180411132938AApZYZz
Answer:
y divided by 6 1/4 = 11 3/4
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
y divided by 25/4 = 47/4
Next, multiply both sides by 25/4:
y divided by 25/4 x 25/4 = 47/4 x 25/4
The 25/4's on the left side of the equation cancel each other out, leaving you with:
y = 47/4 x 25/4
Multiply 47 x 25 and keep the same denominator:
y = 1,175/4
Divide and:
y = 293 3/4
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.