Answer:
The answer is -4x^2
Step-by-step explanation:
-3x^2 - 5x^2 + 4x^2
= -3x^2 + -5x^2 + 4x^2
Combine like terms:
-3x^2 + -5x^2 + 4x^2
(-3x^2 + -5x^2 + 4x^2)
= -4x^2
16 m³
Step-by-step explanation:
Step 1:
Here we are going to find the volume of square pyramid.
Volume of square pyramid = 
× 
× 
Here base = 4 m
Height = 3 m
Step 2:
Volume = (1/3) × (4 × 4) × 3
= 16 m³
Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
1 pint = 20 fl. oz
20/5 = 4 cups can be filler per pint
4*2.5 = 10 cups can be filled overall
The distance from the outside edge of a circle to its centre is given by its radius. The circumference of a circle is given by 2πr, thus if we know that this is equal to 75 feet and using π = 3.14, we get:
75 = 2*3.14*r
r = 11.942
Thus r = 12 ft (to the nearest foot)
