Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.
Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
![r = \sqrt[3]{2025}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B2025%7D%20)
which would be 12.65148998... in.
Answer:
negative association
Step-by-step explanation:
This diagram is a scatter plot which represents a set of data. Data on a scatter plot can fit one of three descriptions: positive (increasing), negative (decreasing) or no association (points do not form any kind of line). Given this data and the line of best fit, or the line that pass through the majority of the points, it is a decreasing line. Since the line goes downhill, it is a negative association.
Answer: there are 16 belts.
Step-by-step explanation: because
Answer:
578 + 48 square inches
Step-by-step explanation:
The computation of the area of the purple band is as follows:
Area of the green square = side^2 = x^ square inches
And, the area of the orange square = side^2
The side would be = = 12 + 12 +x = 24 + x
And, now the area would be = (x + 24)^2
Now the area of the orange band is
= Area of the orange square area of the green square
= (x + 24)^2 - x^2
= x^2 + 24^2 + 48 - x^2
= 578 + 48 square inches