Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where, 
is first term, d is common difference.
Substitute 
in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.
Step-by-step explanation:
for the first one
Answer:
x=3, y=0.8
Step-by-step explanation:
8x+5y=28
4x+5y=16
Subtract the second simultaneous equation from the first.
You are left with: 4x=12
12/4=3
x=3
Substitute this back into one of the equations.
8(3)+5y=28
8*3=24
28-24=4
4=5y
4/5=0.8
y=0.8
Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
- Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
- Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
- Finally we add up the following shapes Volume which are 6160+420=6580cm
Answer:
See below
Step-by-step explanation:
It's hard to see your photo but if that say m∠T than your answer would be
m∠ L.
The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle. m∠M = m∠J, m∠K = m∠E and m∠L = m∠T
Since you have two of the angles, you can also determine what m∠L and m∠T is equal to. The sum on all interior angles must be 180 degrees.
180 - 86 - 32 = 62
