Answer:
He is missing 1500, the final solution would be 2090
Step-by-step explanation:
5 times 8 equals 40
5 times 30 equals 150
50 times 8 equals 400
50 times 30 equals 1500
40+150+400+1500= 2090
Answer:
4 ml
Step-by-step explanation:
m = D/ v where m is mass and D is density and V is volume
.875 = 3.5 / V
Multiply each side by V
.875 V = 3.5
Divide each side by .875
V = 3.5/.875
V =4
F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Answer:
Vertical Angles Theorem
Step-by-step explanation:
Vertical angles have two sets of congruent angles; the angle acrooss the other are congruent to each other.
Also, I took the test and got it right. Hope this helps!!
