Answer: a bigger or equal to 20
Explanation:
2a/5 - 2 _> a/4 + 1
8a/20 - 40/20 _> 5a/20 + 20/20
8a - 40 _> 5a + 20
3a _> 60
a _> 20
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: 




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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: 




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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: 




Answer:
4, I went down first. It is coming by 1/2. Then I went up to 5 again..5=2 1/2. Then I went to 1/2 until I went to 8. 1/2 to 8 and got 4 total servings of milk
Step-by-step explanation:
Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
Since this is subtraction, everything must be turned negative in the second polynomial.
(6x^2 - 5x) - (2x^2 + 3x - 2)
6x^2 - 5x - 2x^2 - 3x - (-2)
6x^2 - 5x - 2x^2 - 3x + 2
Now, reorder the terms to make it easier.
6x^2 - 2x^2 - 5x - 3x + 2
Now, just combine like terms.
4x^2 - 5x - 3x + 2
4x^2 - 8x + 2
There’s the answer!
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