Answer:
Bill launched a model rocket, and estimated its height h, In feet, after 1 seconds. His results are shown in the table
Time, 1 0 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -1612 + 128.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
The independent quantity is the average class size and the dependent quantity is the cost ⇒ c
Step-by-step explanation:
Lets revise the meaning of dependent and independent variables
- The dependent variable is the one that depends on the value of some other number
- The dependent variable is the output value and the independent variable is the input value
- Ex: if y = 2x + 3, x is the input and y is the out put, then is independent variable and y is dependent variable
∵ The cost of the textbook increases with the average class size
- The cost of the textbooks depends on the average of the
class size
∴ The input is the average class size
∴ The output is the cost of the textbooks
∵ The input variable is independent variable
∵ The output variable is dependent variable
∴ The average of the class size is independent
∴ The cost of the textbooks is dependent
The independent quantity is the average class size and the dependent quantity is the cost
Learn more:
You can learn more about the word problems in brainly.com/question/13174281
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Answer:
40°
Step-by-step explanation:
e = 20°
d = 20°
c = 140°
b = 40°
Helga the witch signed up for anger management classes because she could not keep her hexes to herself.
I think this is the answer.
Hope this helps!!! ;)