Answer:
vi = 25.28 m/s
Step-by-step explanation:
a = -9.4 m/s²
x = 34 m
vf = 0 m/s
vi = ?
We can apply the equation
vf² = vi² + 2*a*x
⇒ vi = √(vf² - 2*a*x)
⇒ vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)
⇒ vi = 25.28 m/s
Area is base times height, so take the 12 and 16 and multiply them, you will get 192 which is your answer
(0,3.75)(15,0)
slope(m) = (0 - 3.75) / (15 - 0) = -3.75/15 = - 0.25 or -1/4
y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b
y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)
Answer:
44 cupcakes
Step-by-step explanation:
Since she spent $35, and she wants to profit $75, she needs to make $110.
110/2.5 = 44
Answer:
Yes
Step-by-step explanation:
Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.
How do we know this? Check this out using the four points given on the graph.
(12, 1) => y/x = ¹/12
(24, 2) => y/x = ²/24 = ¹/12
(36, 3) => y/x = ³/36 = ¹/12
(48, 4) => y/x = ⁴/48 = ¹/12
As we can see, the graph represents the shows a relationship between feet and inches.