Answer:
Step-by-step explanation:
● 5 [ (27/8)^2 ÷ (81/4)^3 ] × 6^4
● 5 [ 27^2/8^2 ÷ 81^3/4^3 ] × 6^4
● 5 [ 27^2/8^2 × 4^3/81^3] × 6^4
● 5 [ 27^2 × 4^3 / 8^2 × 81^3] × 6^4
● 5 [ (3^3)^2 × 4^3 / (4×2)^2 × (9^2)^3]×6^4
● 5 [ 3^6 × 4^3 / 4^2 × 2^2 × 9^2 ×2^3]×6^4
● 5 [ 3^6 × 2^6/2^9 × 3^4 ] × 6^4
● 5 [ 3^2 /2^3] × 6^4
● 5 [3^2 × 6^4 / 2^3]
● 5 [ 3^2 × 2^4×3^4 / 2^3]
● 5 [ 3^7 × 2]
Answer:
y = a(x – h)2 + k, where (h, k) is the vertex;
in our case, P(x) = a Δ/4a ;
a = -36; b = 900; c = -1584;
b/2a = 900/-72 = -12.5;
Δ = 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;
P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;
Answer:
36
Step-by-step explanation:
Sean purchased a printer and laptop
He sold both for 1,500
He sold the laptop at 1,350
Therefore the cost of the printer can be calculated as follows
1500-1350
= 150
24/100×150
= 0.24×150
= 36
Henve the cost of the printer is £36
The answers are as follows.
a. 9x
In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as
64^3x = (4^3)^3x = 4^9x
Which gives you the first answer.
b. 10
Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.
16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10
c. Sqrt(7.31)
This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.
Answer:
Step-by-step explanation:
Please find the attached photo for your reference how to draw the rectangle.
1. From on point E and draw a segment 2 units long because the height is 2 units and be vertical.
2. Draw horizontally a line 4 units long (the length) to the right
3. Draw a line upwards 2 units long, at that point it must be at the same height than point E.
4. Draw a 4-units line to the left, and you will be back on point E, the rectangle done.
Answer:
Over here
Step-by-step explanation: