Compound inequality combines multiple single inequalities.
The solution and interpretation of the inequality is:
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<em> and </em>
<em>. Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>
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We have:
and 
Solve for x in both inequalities
Divide both sides by 2
Rewrite as:
Also, we have:
Divide by 2
So, the solutions to the inequalities are:
and
This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.
Hence, (a) is correct
Read more about compound inequalities at:
brainly.com/question/13290962
There is no answer to this question.
Answer:
The most correct option for the recursive expression of the geometric sequence is;
4. t₁ = 7 and tₙ = 2·tₙ₋₁, for n > 2
Step-by-step explanation:
The general form for the nth term of a geometric sequence, aₙ is given as follows;
aₙ = a₁·r⁽ⁿ⁻¹⁾
Where;
a₁ = The first term
r = The common ratio
n = The number of terms
The given geometric sequence is 7, 14, 28, 56, 112
The common ratio, r = 14/7 = 25/14 = 56/58 = 112/56 = 2
r = 2
Let, 't₁', represent the first term of the geometric sequence
Therefore, the nth term of the geometric sequence is presented as follows;
tₙ = t₁·r⁽ⁿ⁻¹⁾ = t₁·2⁽ⁿ⁻¹⁾
tₙ = t₁·2⁽ⁿ⁻¹⁾ = 2·t₁2⁽ⁿ⁻²⁾ = 2·tₙ₋₁
∴ tₙ = 2·tₙ₋₁, for n ≥ 2
Therefore, we have;
t₁ = 7 and tₙ = 2·tₙ₋₁, for n ≥ 2.
Answer:
Step-by-step explanation:
western beach: y = -2x + 100
dunes beach : y = 5x + 20
set the equations equal to each other
-2x + 100 = 5x + 20
100 - 20 = 7x
80 = 7x
80/7 = x
x ~ 11.43 years
Answer:
1) 506.85 minutes
2) 17.33 minutes
3) 23.25 hours
Step-by-step explanation:
1) 16 minutes and 21 seconds
16 minutes and 21 seconds=16.35 minutes
Multiply by 31
2) 537 minutes 20 seconds
537 minutes 20 seconds=537.33 minutes
Divide by 31
3) 999 hours 45 minutes
999 hours 45 minutes=999.75 hours
