3 + 0.75x = 5.25 - 0.25x
0.75x = 2.25 - 0.25x
x = 2.25
3 + 0.75(2.25) = 5.25 - 0.25(2.25)
3 + 1.6875 = 5.25 - 0.5625
4.6875 = 4.6875
They are equal
Answer
C. 49, 17, 4, 18
Step by step explanation
Here mean of all the data set is 88
To find the most spread of data, we need to find the range.
range of set A = The highest value - the lowest value = 36-6 = 30
Range of set B = 30-15 = 15
Range of set C = 49-4 = 45
Range of set D = 30-14= 16
Here the highest range is in Set C.
Therefore, answer is C. 49, 17, 4, 18
Answer:
Part A
The bearing of the point 'R' from 'S' is 225°
Part B
The bearing from R to Q is approximately 293.2°
Step-by-step explanation:
The location of the point 'Q' = 35 km due East of P
The location of the point 'S' = 15 km due West of P
The location of the 'R' = 15 km due south of 'P'
Part A
To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that
=
, the right triangle ΔRPS is an isosceles right triangle
∴ ∠PRS = ∠PSR = 45°
The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°
Part B
∠PRQ = arctan(35/15) ≈ 66.8°
Therefore the bearing from R to Q = 270 + 90 - 66.8 ≈ 293.2°
It’s 65.41 rounded to the nearest hundredth
Answer:
The domain is x ≥ -7
Step-by-step explanation:
The domain asks what values can x take
We know that the sqrt(x+7) must be ≥ 0
That means the smallest value it can be is zero
x+7 ≥ 0
x ≥ -7
The domain is x ≥ -7