Answer:
all work is pictured and shown
Answer:
4.5
Step-by-step explanation:
I do RSM
Answer:
D) 12,656
Step-by-step explanation:
First of all, as they have given us 3 quantities of plants in 1/2 an acre, we can work out the average amount of plants in 1 whole acre.
In the first 1/2 acre there were:
In the second 1/2 acre there were:
In the third 1/2 acre there were:
to work out the average, we add all these together then divide them by 3 (as there are 3 examples)
291 + 327 + 286 = 904
904 ÷ 3 = 301.3 (this is the average amount of plants in every 1/2 acre.) If we multiply this answer by 2 we will get the average amount of plants in every acre.
301.3 x 2 = 602.67 (average plants in every 1 acre) multiply by total acres (21) for your answer
602.67 x 21 = 12656 average plants in total
I hope this was helpful :-)
Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
