Answer:
Step-by-step explanation:
For these we always want to see how much each term is decreasing by, this will tell us what kind of series it is.
-40, -47, -54, -61
Each time it DECREASES by -7, so it is an arithmetic sequence
The explicit form is found with two parts. the start and how much each term changes by. The start is -40 and the change is -7, so the explicit formula is -40 - 7(n-1). This is assuming the first term is a_1. If you are starting with a_0 instead you want to make (n-1) be n. so if a_0 = -40 then you have -40 - 7n but if -40 = a_1 then you have -40 - 7(n-1)
the next one has a "common difference" of 30. so now if -8 is a_0 you have -8 + 30n but if -8 is a_1 then you have -8 + 30(n-1)
The possibility of flipping heads is 1 in 2 (1/2)
the possibility of pulling a black card is 26 in 52 (26/52) which equals 1 in 2 (1/2)
multiply those together and you get 1 in 4, 1/4, or a 25%
= 2(Area of top) + 2 (area of side) + 2(area of front)
<span>= 2(28.5 x 24) + 2 (28.5 x 7) + 2 (24 x 7) </span>
<span>= 1368 + 399 + 336 </span>
<span>= 2103cm^2 </span>
Answer:
Option G
Step-by-step explanation:
Option F
m∠1 + 121 = 180 [Sum of linear angles = 180°]
True.
Option G
121 + m∠2 + 33 = 180
False. Because 121° is not an interior angle of the given triangle.
Option H
33 + m∠1 = 92
True.
Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.
Option J
121 + 92 + m∠3 = 360°
True.
Sum of the exterior angles of triangle is 180°.
The yearly cost would be $138,000.
We will assume that this sample is typical of the shelter's usual numbers. We set up a proportion to estimate how many dogs yearly will have heart worm:
4/50 = x/5750
Cross multiply:
50*x = 4*5750
50x = 23000
Divide both sides by 50:
50x/50 = 23000/50
x = 460
We would expect 460 dogs per year to have heart worm. Multiplying this by the cost for each dog to be treated, we have
460*300 = 138,000.