Answer: y = 3x+10
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Explanation:
The line y = 3x+11 is in slope intercept form y = mx+b where m = 3 is the slope. Anything parallel to this line will also have a slope of 3. Let's plug in m = 3 and (x,y) = (-2,4) which is the point this parallel line goes through.
y = mx+b
y = 3x+b ... replace m with 3
4 = 3(-2)+b ... replace x with -2; replace y with 4
4 = -6+b
4+6 = -6+b+6 ... add 6 to both sides
10 = b
b = 10
Since m = 3 and b = 10, this means that y = mx+b turns into y = 3x+10
First, the formula for the average of a data set must be defined. It is calculated by adding all the numbers in the data set and then dividing the sum by the number of data. In this case, the average is set to be equal to $400 with the total number of data being 3, with the September expenditure set as an unknown, x. The equation is then set-up to be: 400 = (401.5 + 250 + x)/3. Thus, Joshua can spend as much as $ 548.5 to be able to have the same average as in his second quarter expenditure.
Answer:To develop a molecular clock, you need to find which of the following?
a sequence of molecules
the rate at which changes occur in a type of molecule
how much total change has occurred in a type of molecule from two different species
how many molecules a species has
Step-by-step explanation:To develop a molecular clock, you need to find which of the following?
a sequence of molecules
the rate at which changes occur in a type of molecule
how much total change has occurred in a type of molecule from two different species
how many molecules a species has
Taking the observation point as a vertex. The line to the observed window is the hypotenuse of a right triangle formed with the horizontal distance between the two buildings and the opposite leg to the angle of elevation.
The tangent of this angle is the ratio between the opposite leg and the adjacent leg. And the opposite leg is also the height from the height of the observation window to the observed window.
If h is the height from ground level to the second window, we will call h - 40 to the opposite leg and d to the adjacent leg that is also the horizontal distance between the buildings.
tangent(43º) = 0,93251509 = (h - 40)/d
h = tangent(43º)*d + 40 feet = 0,93251509*110 feet + 40 feet = 142.58 feet
Answer = C.) = 140 feet above the ground level is the second window.
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