9514 1404 393
Answer:
(a) -23
Step-by-step explanation:
The sequence is arithmetic with first term 3 and common difference -2. Then the general term is ...
an = a1 +d(n -1)
an = 3 -2(n -1)
and the 14th term is ...
a14 = 3 -2(14 -1) = 3 -2(13) = 3 -26
a14 = -23
Answer:
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is x= z-y/a-b
Step-by-step explanation:
Answer: 5°
Step-by-step explanation:
You can use a right triangle to solve
Hypotenuse would be the flight path
One leg (opposite) is the tree 65 ft
Tan (Θ) = opposite/ adjacent = 65/750
Θ = arctan (65/750)
Θ = 5°
Answer:
17/20
Step-by-step explanation:
3/4 + 4/5 - 7/10
1. Find the LCD (Least Common Denominator). The LCD is 20.
2. 20/4=5. 5*3=15. So, 3/4 becomes 15/20.
3. 20/5=4. 4*4=16. So, 4/5 becomes 16/20.
4. 20/10=2. 2*7=14. So, 7/10 becomes 14/20.
5. Your new equation is 15/20 + 16/20 - 14/20.
6. Solve from left to right.
7. 15/20 + 16/20= 31/20.
8. 31/20 - 14/20= 17/20.