To find this answer, we must first find the percentage of batteries that are defective. We can do this by dividing 3 by 500.
3 / 500 = 0.006
So our percentage of defective batteries is 0.6%.
Now, to find out how many defective batteries would be in a batch of 12000, we just need to multiply the constant (percentage of defective batteries) by the amount in the new batch.
12000 * 0.006 = 72
In a shipment of 12,000 batteries, 72 will be defective, so the correct answer choice would be B.
Hope that helped =)
Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
Answer: x is 20
Step-by-step explanation:
This is ratio
a : c = b : x and d : unknown
a : c = 9 : 12 = 3 : 4 which is 9/12
b : x = 15 : x which is 15 / x
So the proportion will be :
3/4 = 15/x
So Cross multiplying
3x = 90
Divide both side by 3
x = 90/3
x = 20
Answer:
Function is decreasing on (-8,infinity)
Step-by-step explanation:
The given function is 
The first derivative is given by
For the function to be decreasing, we have
Divide both sides by -2. Since, we are dividing by a negative number hence, the inequality sign will change.
Subtract 8 to both sides
Therefore, the function is decreasing on (-8,infinity)
First option is correct.
9x^5 • 4x^4
9•4= 36
X^5+4= x^9
Your answer is 36x^9
