Answer:
3000 cm³
Step-by-step explanation:
Volume = Difference of Volumes of the two pyramids
Volume, V1, of the larger pyramid with tip at L:
Base area = area of EFGH = 10²
Height = ML = 15
V2 = ⅓×(10²)×15 = 4000
Volume, V2, of the smaller pyramid with tip at L:
Base area = area of = 10²
Height = OL = OM+ML = 15+15 = 30
V1 = ⅓×(10²)×30 = 1000
Volume = V1 - V2
= 4000-1000 = 3000 cm³
Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
It is 12 liters. 2.75 gallons is approximately 10.41 liters and 12 liters is more than 10.41 liters.
Answer:
that would be c
Step-by-step explanation:
is because it is least to greatest I hope this helps you
Answer:
a)g: 3x + 4y = 10 b) a:x+y = 5 c) c: 3x + 4y = 10
h: 6x + 8y = 5 b:2x + 3y = 8 d: 6x + 8y = 5
Step-by-step explanation:
a) Has no solution
g: 3x + 4y = 10
h: 6x + 8y = 5
Above Equations gives you parallel lines refer attachment
b) has exactly one solution
a:x+y = 5
b:2x + 3y = 8
Above Equations gives you intersecting lines refer attachment
c) has infinitely many solutions
c: 3x + 4y = 10
d: 6x + 8y = 5
Above Equations gives you collinear lines refer attachment
i) if we add x + 2y = 1 to equation x + y = 5 to make an inconsistent system.
ii) if we add x + 2y = 3 to equation x + y = 5 to create infinitely system.
iii) if we add x + 4y = 1 to equation x + y = 5 to create infinitely system.
iv) if we add to x + y =5 equation x + y = 5 to change the unique solution you had to a different unique solution