We know that
<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is
20</span><span>^4=160,000
</span><span>
2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is
19</span><span>^4=130,321
</span><span>
3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.
the answer is
29679
Answer:
19
----- = x
40-3a
Step-by-step explanation:
3(ax + 9) = -4 (-2 - 10x)
Distribute
3ax +27 = 8+40x
Subtract 3ax from each side
3ax-3ax +27 = 8+40x-3ax
27 = = 8+40x-3ax
Subtract 8 from each side
27-8 = 8-8+40x-3ax
19 = 40x-3ax
Factor an x on the right side
19 = x(40-3a)
Divide each side by 40-3a
19/(40-3a) = x(40-3a)/(40-3a)
19
----- = x
40-3a
Rewrite the rational (fraction) exponents using the formula ^n<span>√a^x= a x/n
3m 1/2 </span>
Given:
Equilateral triangle: height = 2.6 inches ; base or side length = 3 inches
Rectangle: length = 6 inches ; width = 3 inches
1 name plate has 2 equilateral triangle and 3 rectangles.
Surface area of an equilateral triangle = √3/4 * a² = √3/4 * 3² = 3.9 in²
3.9 in² x 2 = 7.8 in²
Surface area of a rectangle = 6 in * 3 in = 18 in²
18 in² x 3 = 54 in²
7.8 in² + 54 in² = 61.8 in²
61.8 in² x 30 nameplates = 1,854 in² Choice A.
Answer:
Below.
Step-by-step explanation:
I'll do number 20, 21, 22 for you.
20. It is ±1, ±2, ±4, ±8.
21. Reflected over the x-axis and down 4.
22. Common ratio = 25/5 = 5.
23. Imaginary roots occur in pairs so there is also a root -5i.
The answer is c.
19. Option (a).
This is a translation of 4 to the left ( due to the (x + 4).
