Answer:
la respuesta correcta es la letra B es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculos
Step-by-step explanation:
P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980
Complete Equation:
p(x) = (x^2)(x - 4)^2(x +4) + 1980
or expanded form
p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980
Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is

Where, a is the initial value r is the rate of interest and t is time period.
Putting
in the above formula, we get




Therefore, the mass of the remaining element is 221.7 grams.
Answer:
The correct option is C. 14 ft
Step-by-step explanation:
To calculate the height, we will follow the steps below;
Formula is given to be: h = 2A / b1 +b2
where h = height of the trapezoid b1 and b2 are the bases of the trapezoid and A is the area of the trapezoid
From the question given;
Area A =329 feet² b1 = 30 feet b2 =17 feet
We can now proceed to insert the values into the formula
h = 2A / b1 +b2
h= 2(329) / 30 + 17
h = 658 /47
h=14 feet
Answer:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches
Step-by-step explanation:
Length of the first piece = x
Length of the second piece = 2x
Length of the third piece = 3x
Total length is 36 inches:
x + 2x + 3x = 36
6x = 36
x = 6
Therefore, the lengths are:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches