Answer:
2 is the constant of proportionality in the equation y = 2x .
Step-by-step explanation:
Definition of constant of proportionality
When two variables are directly proportional to each others .
Let us assume that u and v .
u \propto vu∝v
Than the equation becomes u= kv
Where k is called the constant of proportionality .
Thus in the question x and y are proportional variables .
i.e
y \propto xy∝x
y = kx
Where k is called the constant of proportionality .
Compare the equation y = kx with y=2x .
Thus
k = 2
Therefore 2 is the constant of proportionality in the equation y = 2x
the explanation is not mine only the answer
Answer:
x = 20
Step-by-step explanation:
The two angle are a linear pair. Their measures has a sum of 180 deg.
2x + 140 = 180
2x = 40
x = 20
(a) The dimensions of the base of the box are (8 -2x) and (10 -2x). The depth of the box is x. The volume is the product of these dimensions.
V = x(8 -2x)(10 -2x)
(b) A graphing calculator is suitable "technology". The process is ...
• write the equation in the calculator
• adjust the scaling so the curve fills the display area
• select the maximum point to reveal its coordinates
The value of x that maximizes box volume is about 1.5 inches.
Answer: his score 131 points
Step-by-step explanation:
Assuming the scores in the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = standardized test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 110 points
σ = 10 points
Looking at the normal distribution table, the z score that corresponds to the 98 percentile is 2.06
2.06 = (x - 110)/10
Cross multiplying, it becomes
2.06 × 10 = x - 110
2.06 = x - 110
x = 20.6 + 110
x = 130.6
Approximately, x = 131
