Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:

where
is the first term and
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is
.
So the answer is true.
----
You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:




Let n=2:




Let n=3:




Let n=4:




Let n=5:




Let n=6:




We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
Answer:
A= 16 B=28
Step-by-step explanation:
So the ration is 4:7, you have to find multiples that have that same ratio
Multiply both numbers by 4, this should get you
16:28
16 + 28 = 44
Therefore this is the correct answer
Answer:
2.5 km
Step-by-step explanation:
First, find the area of the region:
- A circular region has a population of about 15,500 people;
- A population density of about 775 people per square kilometer.
So, there are
square kilometers.
Now, let x kilometers be the radius of the circular region, then

To the nearest tenth this is 2.5 km.
Answer:
D
Step-by-step explanation:
hope this helps