Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
A car can travel 65 miles per hour.
Over 12 hours, it will travel 780 miles.
12 * 65 = 780
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Answer:
yes
Step-by-step explanation:
soory i need points
Answer: The answer is 4.
Step-by-step explanation: Given that -
The number of cups of yogurt that Carol has to make smoothies is given by
and the number of cups of yogurt that each smoothies uses is given by
Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have
Thus, the maximum number of smoothies is 4.
