Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
Answer:
<h3>1 secs</h3>
Step-by-step explanation:
Given the height of the discus can be modeled by the equation y=−16x
^2
+32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.
Velocity v = dy/dx = 0
dy/dx = -32x + 32
0 = -32x + 32
32x = 32
x = 1 secs
Hence it will take the discus 1 secs to reach its maximum height
Answer:
Step-by-step explanation:
Since, angle 1 is an exterior angle of ΔABE,
m∠1 > m∠3 and m∠4
Since, angle 1 is an exterior angle of ΔABD,
m∠1 > m∠5
Since, angle 1 is an exterior angle of ΔABC,
m∠1 > m∠7 and m∠8
Therefore, ∠1 is greater than ∠3, ∠5, ∠7 and ∠8.
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds
3x + 2y=-10 equation 1
y=-x -4 equation 2
use the substitution method of elimination to get the answer to the question.
*using substitution
substitute equation 2 in one and we get
3x +2(-x-4)=-10
3x- 2x-8=-10
x=-2 and y=-2
Answer:
B
