This is an arithmetic sequence, since it's pattern is +4.
n1 = 1
d = 4
n = 1 + (n-1)(4) <-------------- This is the formula for the nth term of the sequence.
Answer:
its 38 3/4
Step-by-step explanation:
d₂ = distance covered each day in the next 5 days From the question, Given: d₁ = 3 miles = 7/2 miles T = 5 Days d₂ = 4 miles = 17/4 miles Substitute these values into equation 1 D = [ (7/2)×5]+ [ (17/4)×5] D = 17.5+21.25 D = 38.75 miles
Answer:
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Step-by-step explanation:
We have a point a (0,20) and a point at (2 , 20.05)
We can find the slope from
m = (y2-y1)/(x2-x1)
= (20.05-20)/(2-0)
= .05/2
=.025
One of the points (0,20) is the y intercept since x=0
We can use the slope intercept form of the equation
y= mx+b
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
The bottom of the ladder is 10.5 feet away from the wall
Step-by-step explanation:
The given scenario forms a right triangle.
Where
The length of ladder will be the hypotenuse
The wall on which the window is situated will ebt he perpendicular and
The distance between the foot of ladder and the wall will be the base
So,
Hypotenuse = H = 20 foot
Perpendicular = P = 17 feet
Base = B = ?
Using the Pythagoras theorem

The bottom of the ladder is 10.5 feet away from the wall
Keywords: Triangle, Pythagoras Theorem
Learn more about Pythagoras theorem at:
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Answer:
The number line is shown below.
Step-by-step explanation:
We need to represent number that is less than 3 on a number line.
Let x be numbers.
So,
.
Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.
The number line is shown below.