Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
1: minus the 4x on both sides to get 5y=-4x-10. 2: divide 5 on both sides and simplify to get the answer of y=-4/5x-2.
<h3>Answer: Choice A</h3><h3>y = (-2/3)x + 12</h3>
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Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Answer:
The ratio of x:y is 1/2
Step-by-step explanation:
Let
x----> the number of Kg of brand A
y ---> the number of Kg of brand B
we know that
400x+280y=320(x+y)
400x+280y=320x+320y
400x-320x=320y-280y
80x=40y
x/y=40/80
x/y=1/2
Hey there!
We can see we are subtracting 2 every time, and we have 95 terms left fo figure out, so we multiply 95 by 2 and get 190, then subtract that from 15.
15 - 190 = -175, therefore, that's the the 100th term.
Have a terrifcly amazing day!