The value of given expression is: 3
<h3>What is exponents and powers?</h3>
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
9*(15)³/45 *
/9
= 3²* 3³*5³/5² * 3² * 3² * 5
= 
= 3*1
=3
Learn more about exponents and power here:
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Answer:
D (2, 1)
Step-by-step explanation:
Fir an in-detailed representation, image below
- Started with plotting the given center (yellow)
- From the center: go 5 units up, down, right and left (light blue)
- You will have 5 points plotted now
- connect the light blue dots to form a circle (red, not to scale!)
- Now, locate every choice point, which one is on the red line?
- D!!!!!
Learn more about Circles here: brainly.com/question/10368742
For the first digit you are choosing from 2 digits
for the second digit you are choosing from 2 digits
for the third digit you are choosing from 2 digits
2*2*2=8
111
110
011
101
000
001
100
010
However......
A number doesn't usually start with a 0 or 0s.
Therefore, if you want 3-digit numbers and not just permutations using 0 and 1, then you must eliminate
011, 000, 001, and 010
Seeing that the first digit can't be 0, you choose from 1, then 2, and then 2 digits again; 1*2*2=4 numbers
You choose which answer best suits your problem.
3144/9= 349.33
I used a calculator, but you can also solve this by long division (if a calculator isn’t available)
hope this helps!! :)
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.