It should take 6 weeks until the warehouse has less than 100 boxes remaining
Hello from MrBillDoesMath!
Answer:
10a. YES
10b. YES
10c. NO
10d . YES
Discussion:
If x = 12
10a. Does (3/4) 12 = 9? Does (36/4) = 9 = 9? YES
10b. Does 3x = 36? Does 3(12) = 36 = 36? YES
10c. Does 5x = 70? Does 5(12) = 60 = 70? NO
10d. Does x/3 = 4? Does 12/3 = 4 = 4 ? YES
Thank you,
MrB
Answer:
Step-by-step explanation:
a = 5
r = -5
n = 9
t_9 = a r^(n - 1)
t_9 = (-1)^n*5 (-5) ^ 8
t_9 = (-1)^9 * 5 * (-5) ^8
t_9 = -1 ( 1953125)
t_9 = - 1953125
Answer:
Area of composite figure = 216 cm²
Hence, option A is correct.
Step-by-step explanation:
The composite figure consists of two figures.
1) Rectangle
2) Right-angled Triangle
We need to determine the area of the composite figure, so we need to find the area of an individual figure.
Determining the area of the rectangle:
Given
Length l = 14 cm
Width w = 12 cm
Using the formula to determine the area of the rectangle:
A = wl
substituting l = 14 and w = 12
A = (12)(14)
A = 168 cm²
Determining the area of the right-triangle:
Given
Base b = 8 cm
Height h = 12 cm
Using the formula to determine the area of the right-triangle:
A = 1/2 × b × h
A = 1/2 × 8 × 12
A = 4 × 12
A = 48 cm²
Thus, the area of the figure is:
Area of composite figure = Rectangle Area + Right-triangle Area
= 168 cm² + 48 cm²
= 216 cm²
Therefore,
Area of composite figure = 216 cm²
Hence, option A is correct.
<span>g(x) = x^2 + 3x - 4 (please be sure to use " ^ " to denote exponentiation).
This function factors into g(x) = (x+4)(x-1), and so the zeros are -4 and +1.
If we shift this graph 5 units to the left, we get h(x) = (x+5)^2 + 3(x+5) - 4.
The new zeros will be -4-5 and 1-5, or -9 and -4.
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