Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be 
The next will be; 
The nth term will be 
For each of the successive terms to be less than the previous term;
then 
must be a proper fraction;
This implies that:
<em>Where 7 is the denominator</em>
<em>The sets of </em><em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.
x= # servings from 1/2 can
1/24= (1/2)/x
cross multiply
1 * x= 24 * 1/2
x= 24/2
x= 12 servings
ANSWER: She can make 12 servings from 1/2 can of juice.
Hope this helps! :)
Sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0, cos x + 1 = 0, cos x = - 1;
Answer:
x = 0, or x = π
Answer:
9
Step-by-step explanation:
2(2)2 -3(2) + 7
2(4) - 6 + 7
8 - 6 + 7
2 + 7
9
10 would be 50% so 1 is 5% 5x8 =40
Her experimental probability is 40%
