this can be solve using newtons heating of cooling
(Ts – T) =(Ts – To)*e^(-kt)
Where Ts is the ambient temperature
To is initial temperature
T is the temperature at time t
t is the time
k is constant
fisrt solve the constant k for the given first scenario
(99 – 36) = (99 – 46)*e(-5k)
K = -0.0346
Using k, solve T at t = 13 min
(99 – 46) = (99 – T)*e(-13*(-0.0346)
T = 58.82 degree F
Answer: y= -2x - 4
Step-by-step explanation:
This is a straight line, so it can be expressed by y = mx + c.
Here c is y-intercept, which means where line cuts the y-axis. We can see from the graph that the line cuts the y-axis at -4.
So, c = -4.
m is slope.
Use slope formula to find m.
m = ( -4 - 0 ) / ( 0 -(-2))
m = -4 / 2
m = -2
Now put values into this equation
y = mx + c
y = -2x - 4
Answer:
Reflection in the x-axis
Step-by-step explanation:
If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).
If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.
Answer:
Option (2)
Step-by-step explanation:
Given function is,
9y - 6 = 3x
y = 
To find the inverse of the given function,
1). Substitute x in place of y and y in place of x.
x = 
2). Now we have to solve this equation for the value of y.
9x = 3y + 6
3y = 9x - 6
y = (3x - 2)
Therefore, inverse of the given function is y = (3x - 2)
Option (2) will be the answer.
