When t = 0, S = 2^0 = 1
<span>When t = 2, S = 2^2 = 4 </span>
<span>Change in size = 4 - 1 = 3 cubic mm. </span>
<span>Average rate of change = (S(2) - S(0))/(2-0) = (4-1)/2 = 1.5 cubic mm/month </span>
Answer:
Isosceles obtuse Triangle
Answer:
x>−7
Step-by-step explanation:
left side:
-8(x-3)+5x
distribute -8 into (x-3)
-8x+24+5x
combine like terms
-3x+24
right side:
9(x+12)
distribute 9 into (x+12)
9x+108
-3x+24<9x+108
Subtract 24 on both sides
-3x< 9x+108-24
combine like terms
-3x<9x+84
Subtract 9x on both sides
-3x-9x<+84
combine like terms again
-12x<84
Multiply both sides by -1 (reverse the inequality)
(-12x)(-1)>84(-1)
12x>-84
divide both sides with 12

x>−7
hope this helps
Answer:
y = 5x + 20
Step-by-step explanation:
Here, we want to find the slope intercept form equation of the trend line
The general form is:
y =
mx + b
b is slope and m
is the y-intercept
b = 20
To get the slope, we select any two points and use the slope formula
we have the points;
(10,70) and (5,45)
The slope formula is;
m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5
The equation of the line is thus;
y = 5x + 20
Answer:
Correct option is D. No, since the ratios of the corresponding sides are not proportional.
Step-by-step explanation:
Please refer to the attached figure
Let height of coach represents by AB = 6 feet
And shadow of coach represents by BC = 4 feet
Let height of goal post represents by DE = x feet
And Shadow of goal post represents by EF = 12 feet.
Since measurement of shadows are at same time. therefore ratio of height of coach and height of goal post must be same as ratio of shadow of coach and shadow of goal post.
⇒ 6/x = 4/12
⇒x = 72/4 = 18 feet
So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.
Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.