To find the 6th term in the sequence whose nth term is represented by the formula 7n-1, substitute 6 in place of n into the formula. This gives 7*6 - 1, which equals 41.
The question is: If the nth term of a sequence is 7n-1, what is the 6th term?
In order to find this, we can substitute 6 into the formula for the nth term, in place of n.
Following the formula, we get 7n-1, replace n with 6, hence, the formula looks like 7*6 - 1.
Therefore, we get 42 - 1 = 41. Hence, the 6th term of the sequence is 41.
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Answer:
10
Step-by-step explanation:
Let's call the four numbers x1, x2, x3, and x4. Their average is (x1 + x2 + x3 + x4)/4 = 8, so x1 + x2 + x3 + x4 = 4 × 8 = 32. And we know that three of the numbers have a sum of 22, so x1 + x2 + x3 = 22.
Subtracting this last equation from the first equation, we have:
So the fourth number is 10.
Answer:
The amount of gas in a car depend on how many miles have been driven.
Step-by-step explanation:
The number of miles driven is proportionally related to the number of gallons of gas because every measure of gallons of gas can be multiplied by to get every corresponding measure of miles driven.
Also,
The number of miles driven is the dependent variable
Because the number of miles you can drive depends on the number of gallons of gas you have in your tank.
So, The correct answer is - The amount of gas in a car depend on how many miles have been driven.
Answer
a. True
Step-by-step explanation:
Based on this survey we estimate that about of the college students smokes. And a confidence interval is . So we know that our estimative for the smoking rate is in the confidence interval with certainty. We also know the estimative for the smoking rate in the general population is . So we can write the two possible hypothesis:
Smoking rate is equal to .
Smoking rate is not equal to .
We will reject the null hypothesis if the estimate doesn't fall into the confidence interval for the college students smoking rate.
Since this condition holds we reject the null hypothesis. So with certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.
Answer:
Step-by-step explanation:
a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50
Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}
b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61
c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴
In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ
d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵
In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ
e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵