Answer:
an = 6 +5(n-1)
an = 1 +5n
Step-by-step explanation:
The equation for an arithmetic term is
an =a1 +d(n-1)
where a1 is the 1st term and d is the common difference
an = 6 +5(n-1)
We can distribute the 5
an = 6+5n-5
an = 1 +5n
9514 1404 393
Answer:
acute scalene triangle
Step-by-step explanation:
The largest angle is acute, and all sides are different lengths. The triangle is an<em> acute scalene triangle</em>.
____
The magnitudes of the coordinate differences are ...
WX = (7, 5), XY = (2, 7), WY = (9, 2)
The two sides that are closest in length are ...
WX = √(49+25) = √74
WY = √(81 +4) = √85
Obviously, these are different lengths.
You can get a clue by comparing the numbers whose squares you are adding:
7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY
9^2 +2^2 > 7^2 +2^2 . . . . WY > XY
so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)
We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.
Answer:
20 cm
Step-by-step explanation:
Think of a large cone, 30 cm high, and a small cone of x height.
The scale factor of a volume of the cube of the scale factor of linear dimensions.
The cubic root of 1/27 is 1/3.
This means that the height of the small cone is 1/3 the height of the large cone.
The large cone has height 30 cm.
The small cone has height 10 cm.
30 cm - 10 cm = 20 cm
Answer: 20 cm
Newton's law of cooling is
k (t₁ - t₂) = -ln (T₁ - T∞ / T₂ - T<span>∞)
Use the two data points in the given to find k.
t = 0, T = 154
t = 10, T = 133
Solution:
k(0 - 10) = - ln (154 - 71/ 133 - 71)
-10k = -0.291716
k = 0.02917 or 0.0292
So now find t when T = 100
0.2917 * ( 0 - t) = -ln (154 - 71 / 100 -71)
- 0.02917t = - 1.0515
t = 36. 05 minutes
to the nearest minute t = 36</span>
Answer:
x <u>></u> 6
Step-by-step explanation:
If it is at most 6 then it could be equal to or less than 6 but not more so it would be a <u>></u>.
For example: If you had 6 dollars to spend at the store and you want to buy some candy. You can only buy something that is less than or equal to 6 dollars or else you wouldn't have enough money. Though this example would be different in real life bc of tax, it is the same type of thing.
