Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
Answer:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
Answer:
(-8,-2) (-4,6)
Step-by-step explanation:i just got the answer
<u><em>Answer:</em></u>
The shorter leg is 
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is 
the length of the hypotenuse
The length of the side opposite to the 60° is 
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is 
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° = 
inches
Hope this helps :)
Answer:
6.25 gm left
Step-by-step explanation:
Find the number of half lives in 26.3 years
26.3 / 5.26 = 5 half lives
(1/2) ^5 = 1/32 nd of the original will be left
1/32 * 200g = 6.25 gm left
