10984 rounded to the nearest thousand is 11,000
1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
Answer:
x = 76
Step-by-step explanation:
The inscribed angle x is half the measure of its intercepted arc.
x =
× (102 + 50) = 0.5 × 152 = 76
Answer:
7/10
Step-by-step explanation:
To find the probability that a student is a liberal arts or female, we have to add together all of the people who were female or liberal arts majors in the study. If we add those together, (15 + 18 + 17 + 20) we get 70. 70/100 can be simplified to 7/10.
Answer:
5256 orbits
Step-by-step explanation:
There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this
8760 x 0.6
This gives us an answer of 5256 which is the number of orbits per year