Answer:
Part A
5yr old boy.
Y=-(1/8)x+113/8 x=5
Y=-5/8+113/8=(113-5)/8=108/8
Y=13.5 hrs
Yes the estimated value of sleep by this function is reasonable as it is close to childhood more sleep is likely.
Part B
20yr old boy.
Y=-(1/8)x+113/8 x=20
Y=-20/8+113/8=(113-20)/8=93/8
Y=11.63 hrs
No the estimated value of sleep by this function is not reasonable as the normal sleep of 7-8 hrs is enough for adults.
Step-by-step explanation:
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,
Common ratio = y₂/y₁ = 1/(1/7) = 7
Now, for any geometric progression, the value of the nth term is given as,
Tₙ = a₁ (r)⁽ⁿ⁻¹⁾
where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,
T = a₁ (r)⁽ⁿ⁻¹⁾
Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾
y = (1/7)(7)⁽ˣ⁻¹⁾
Now, the value of the y when the value of x is 5 is,
y = (1/7)(7)⁽ˣ⁻¹⁾
y = (1/7)(7)⁽⁵⁻¹⁾
y = (1/7)(7)⁴
y = (1/7) × 2401
y = 343
Hence, the missing value in the table below is 343.
Learn more about Geometrical Series here:
brainly.com/question/4617980
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Answer:
-7/4
Step-by-step explanation:
Let d be the number of days and h be the height
h = 13 + 0.6d
Answer: (a) h = 13 + 0.6d
Given height = 0.208m, find d:
0.208m = 20.8 cm
20.8 = 13 + 0.6d
0.6d = 20.8 - 13 = 7.8
d = 7.8 ÷ 0.6 = 13
Answer: (b) 13 days
9514 1404 393
Answer:
- your graph is correct
- y = 3x -5
Step-by-step explanation:
The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.
The y-intercept is seen to be -5, so the equation is ...
y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)
y = 3x -5
__
The points and line are plotted correctly, so you already have your graph.