Answer:
slope is 3
Step-by-step explanation:
Slope =
change in y = (13-7), (19-13), (25-19), (31-25)
change in y = 6
Change in x = (4-2), (6-4), (8-6), (10-8)
Change in x = 2
Therefore slope =
Slope = 3
Is this answer true. X is 6. X+14>5
2 answers:
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Diameter of cone = d = 4mm
So,
Radius of cone = r = 2mm
Slant Height = l = 6mm
Surface Area = A = ?
The formula for the surface area of cone is:
Using the values, we get:
mm²
Therefore, the surface area of the cone with diameter 4mm and slant height of 6mm will be 16π mm²
So,
Radius of cone = r = 2mm
Slant Height = l = 6mm
Surface Area = A = ?
The formula for the surface area of cone is:
Using the values, we get:
Therefore, the surface area of the cone with diameter 4mm and slant height of 6mm will be 16π mm²
Answer:
<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>
Step-by-step explanation:
Total distance to sea bed = 127 m
Let the distance traveled in air be s.
Distance traveled in water = 127 - s
Average velocity in air = 16 m/s
Average velocity in water = 3 m/s
Distance traveled in air = Average velocity in air x Time in air
s = 16 x t₁
Distance traveled in water = Average velocity in water x Time in water
127-s = 3 x t₂
We have total time is 12 seconds
That is
t₁ + t₂ = 12
We have
s = 16 x t₁
112 = 16 x t₁
t₁ = 7 s
t₁ + t₂ = 12
7 + t₂ = 12
t₂ = 5 s
The stone fall in air for 7 seconds and fall in water for 5 seconds.