Answer:
30 ≥ x
Step-by-step explanation:
The answer is b, which reads:
the log of 1024, base 4, is x
Answer:
Factor this polynomial:
F(x)=x^3-x^2-4x+4
Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).
The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at
x = 1, x = 2 and x = -2. This means that
x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)
A = 1, as you can see from equation the coefficient of x^3 on both sides.
Typo:
The rational roots can be
+/-1, +/-2 and +/-4
Step-by-step explanation:
Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.
This can be expanded for the nth term in the following way:

In which
is the first term.
Or even:

The sum of the first n terms of a geometric sequence is given by:

Finding the common ratio:






![r = \sqrt[5]{\frac{15}{3.645}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B15%7D%7B3.645%7D%7D)

Finding the first term:




Sum of the first nine terms:

The sum of the first nine terms of the sequence is 74.44.
Answer: 2.66 × 10⁻¹³
<u>Step-by-step explanation:</u>
First, use the decay formula
where
- A is the final amount (amount left)
- A₀ is the initial amount (amount you started with)
- k is the rate of decay (you need to solve for this)
- t is the time
Given:
- A = 1/2(300) = 150
- A₀ = 300
- k = unknown
- t = 28.8

Next, input the k-value and the new t-value to solve for A.
- A = unknown
- A₀ = 300
- k = -0.0240676
- t = 1440
