Answer:
m = -1
Step-by-step explanation:
m = - (4 + m) + 2
m = -4 - m + 2
m = -2 - m
+m +m
2m = -2
/2 /2
m = -1
Hope this helps!
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Answer:
Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)
Step-by-step explanation:
You first have to find the midpoints of AC and AB.
AC X coordinate:
X1+X2/2
Substitute the x points of AC in
1+(-5)/2=-2
AC Y coordinate:
Y1+Y2/2=3
Substitute the y points of AC in
5+1/2=3
You do the same thing with the AB line. I am pretty sure this works and I hope this helps!
Answer:
<h2>LA = 24 ft²</h2>
Step-by-step explanation:
In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

The Lateral Area is the sum of the areas of three rectangles:

The Lateral Area:

Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:


Operating:

After t=13 minutes the remaining mass is:

Calculating:
M(13)=14.3 gram