Answer:
x = - 4
Step-by-step explanation:
Hi there !
if f(x) = 2x + 7 and f(x) = -1 =>
2x + 7 = - 1
2x = - 1 - 7
2x = - 8
x = - 8 ÷ 2
x = - 4
Good luck !
Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer:
CEO earns $31,045.5
Step-by-step explanation:
Price of each product = $855
Number of product sold = 250
Total revenue = price × quantity
= 855 × 250
= $213,750
Total expenditure = $6,780
Profits = Total revenue - Total expenditure
= 213,750 - 6,780
= $206,970
Profits = $206,970
The CEO of the company earns 15% of this profit
Amount CEO earns = 15% of $206,970
= 15/100 × 206,970
= 0.15 × 206,970
= $31,045.5
CEO earns $31,045.5
multiply everything together
there are 26 letters and 10 digits
so 26 x 26 x 10 x 10 x 10 = 676,000 combinations