Answer:
Percentage error is 0.0024 %
Step-by-step explanation:
Initial average distance between Earth and moon = 384467 km
Distance measure by the scientist = 384476 km
Total variation in the distance calculation = 384476 – 384467 = 9 km.
Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.
Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %
Answer:
120 pounds = 54.5 kilogram
Step-by-step explanation:
We know that,
1 kilogram=2.2 pounds
or
1 pound = (1/2.2) kilogram
We need to convert 120 pounds to kilograms.
So, there are 54.5 kilograms in 120 pounds.
Answer:
Step-by-step explanation:
A. y-Intercept of ƒ(x)
ƒ(x) = x² - 4x + 3
f(0) = 0² - 4(0) + 3 = 0 – 0 + 3 = 3
The y-intercept of ƒ(x) is (0, 3).
If g(x) opens downwards and has a maximum at y = 3, it's y-intercept is less than (0, 3).
Statement A is TRUE.
B. y-Intercept of g(x)
Statement B is FALSE.
C. Minimum of ƒ(x)
ƒ(x) = x² - 4x + 3
a = 1; b = -4; c = 3
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
h = -b/2a = -(-4)/(2×1 = 2
k = f(2) = 2² - 4×2 + 3 =4 – 8 +3 = -1
The minimum of ƒ(x) is -1. The minimum of ƒ(x) is at (2, -1).
Statement C is FALSE.
D. Minimum of g(x)
g(x) is a downward-opening parabola. It has no minimum.
Statement D is FALSE
1.3 * 105 = 136.5
ANSWER: 136.5
Answer:
(3,2)
(6,4)
(9,6)
(12,8)
Step-by-step explanation:
Constant of proportionality is 2/3
This means that:
Thus, y should be less than x, which removes option A.
B) (3,2)
x = 3, so:
So (3,2) is on the line
C) (6,4)
x = 6, so:
So (6,4) is on the line
D) (9,6)
x = 9, so:
So (9,6) is on the line
E) (12,8)
x = 12, so:
So (12,8) is on the line