This is 20 and to the answer you're supposed to do divided together
Answer:
a) -2t²+12t+15 b) 25, 31 c) 26
Step-by-step explanation:
a) To find out rate, we will take derivative of the given equation
dN/dt= -2t2+12t+15
b) At 9 am , it will be 1hr since the start of morning shift so t=1
dN/dt= -2(1)²+12(1)+15
dN/dt=25
At 10 am, it will 2 hrs since the start of morining shift be so t=2
dN/dt=-2(2)²+12(2)+15
DN/dt= 31
c) N(2)-N(1)= (-(2)³+6(2)²+15(2))-(-(1)³+6(1)²+15(1))
=(46)-(20))
= 26
Answer:
The linguists paid $9,549.65 in federal taxes.
Step-by-step explanation:
Answer:
x + 2y = 8.
Step-by-step explanation:
Line goes through (-4, 0) and (4, -4).
The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.
Since we are looking for the equation of the line parallel to that line, the slope will be the same.
We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.
3 = (-1/2) * 2 + b
b - 1 = 3
b = 4.
So, we have y = -1/2x + 4.
1/2x + y = 4
x + 2y = 8.
Hope this helps!
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: 
AB=
units
BC=
units
AC=
units
Pythagoras theorem:
Therefore, 
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by
Hence, the circum-center of triangle is (2,1).
