Answer:
The equivalent expression would be;
S(t) = 86,400•3^t
Step-by-step explanation:
Here, we want to make a transformation
From what we have;
S(t) = 9,600(3)^(t + 2)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
S(t) = 9600•3^t•3^2
S(t) = (9 * 9600) * 3^t
S(t) = 86,400•3^t
C is the correct answer I think
Answer:
x = 12
Step-by-step explanation:
In a right triangle (a triangle that has a ninety degree angle in it) the the square of the side opposite the right angle is always equal to the sum of the squares of the other two sides. Therefore, we can use the information we are given to figure out the missing side:
![15^2=225\\9^2=81\\225-81=144\\\sqrt[2]{144}=12](https://tex.z-dn.net/?f=15%5E2%3D225%5C%5C9%5E2%3D81%5C%5C225-81%3D144%5C%5C%5Csqrt%5B2%5D%7B144%7D%3D12)
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
Answer:
acute, small, and 13•
Step-by-step explanation:
hope this helps^^
