Answer:
Step-by-step explanation:
This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).
Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.
First, let's find the constant ratio of change.
This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.
Now, we use the point slope formula to find the equation
Theerefore, the function that represents this situation is
Where 
represents temperature and 
represents hearbeats.
Let's find the difference between each number.
38-14=24
74-38=36
122-74=48
182-122=60
254-182=72
As you can tell, you're adding 12 to each difference before. The next difference would be 72+12=84. Let's add.
254+84=338
Now the next difference would be 84+12=96.
338+96=434
So, the next two terms are 338 and 434.
31 degrees, 31 degrees, 118 degrees
Step-by-step explanation:
Step 1 :
Let x be the measure of 2 angles of the given isosceles triangle with same measure
Let y be the measure of 3rd angle
So we have x + x + y = 180
Step 2 :
Given that the measure of 3rd angle of triangle is 25° more than three times the measure of either of the other two angles
So we have , y = 3 x + 25
Step 3:
Substituting for y in the first equation we have,
x + x + 3 x + 25 = 180
=> 5 x + 25 = 180
=> 5 x = 180-25 = 155
=> x = 155/5 = 31
Hence the 2 angles of the triangle are 31 degrees.
Step 4:
we have y = 3 x + 25
=> y = 3 * 31 + 25 = 118
Hence the 3rd angle of given triangle is 118 degrees
13/35 because you have to find the common denominator which would be 35 and in order to get 7 to 35 you have to multiply the whole thing by 5 making the fraction equal 15/35 and you have to multiply the other fraction by 7 making it 7/35 add the two together which would equal 22/35 so to make that 35/35 it would have to be 13/35
