Answer:Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs
Step-by-step explanation:
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Jaira is completing the construction of a regular hexagon inscribed in a circle, as shown below: The next step in her construction should be:
- construct another pont E by placing her compass at the locus D
- Repeat the process to get 6 more points on the given circle then join all of them together.
<h3>
What is a regular hexagon?</h3>
A closed polygon with six equal sides and six equal angles is called a regular hexagon.
Thus, the steps highlighted above will help Jaira complete her construction.
Learn more about regular hexagons at;
brainly.com/question/10209400
#SPJ1
Answer:
The controllable canonical form of the system =
Y = (5 0 0 0) (x1)
(x2)
(x3)
(x4)
Step-by-step explanation:
The detailed explanation is as shown in the attached file.
Answer:
![The composite function is:a(r(t)) = π (0.5 + 2t)²After simplification it becomes:a(r(t)) = π (0.25 + 2t + 4t²)Step-by-step explanation:Here is the complete function:a circular oil spill continues to increase in size. the radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. the area of the circular region is given by the function a(r) = πr², where r is the radius of the circle at time t. Explain how to write a composite function to find the area of the region at time t.Solution:The composite function is written by applying one function to another. The requirement of this question is to write a composite function to find are of region at time t.Leta(r) = πr²is function 1andr(t) = 0.5 + 2tis function 2ThenThis means that function r(t) should be applied to a(r) and it should be inside function a(r)Then composite function becomes:a(r(t))Now put the value of r(t) = 0.5 + 2t into a(r) = πr²a(r(t)) = π (0.5 + 2t)²So this is the composite function to find area of the region at time tSimplifying this equation we get:a(r(t)) = π (0.5 + 2t)² = π (0.5 + 2t) (0.5 + 2t) = π [(0.5 * 0.5)+ (0.5 * 2t) + (2t * 0.5) + (2t *2t)] = π (0.25 + 1t + 1t + 4t²) = π ( 0.25 + t + t + 4t²) = π (0.25 + 2t + 4t²)a(r(t)) = π (0.25 + 2t + 4t²)](https://tex.z-dn.net/?f=The%20composite%20function%20is%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%20%3D%20%CF%80%20%280.5%20%2B%202t%29%C2%B2%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EAfter%20simplification%20it%20becomes%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%20%3D%20%CF%80%20%280.25%20%2B%202t%20%2B%204t%C2%B2%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EStep-by-step%20explanation%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EHere%20is%20the%20complete%20function%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%20circular%20oil%20spill%20continues%20to%20increase%20in%20size.%20the%20radius%20of%20the%20oil%20spill%2C%20in%20miles%2C%20is%20given%20by%20the%20function%20r%28t%29%20%3D%200.5%20%2B%202t%2C%20where%20t%20is%20the%20time%20in%20hours.%20the%20area%20of%20the%20circular%20region%20is%20given%20by%20the%20function%20a%28r%29%20%3D%20%CF%80r%C2%B2%2C%20where%20r%20is%20the%20radius%20of%20the%20circle%20at%20time%20t.%20%20Explain%20how%20to%20write%20a%20composite%20function%20to%20find%20the%20area%20of%20the%20region%20at%20time%20t.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ESolution%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EThe%20composite%20function%20is%20written%20by%20applying%20one%20function%20to%20another.%20The%20requirement%20of%20this%20question%20is%20to%20write%20a%20composite%20function%20to%20find%20are%20of%20region%20at%20time%20t.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ELet%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%29%20%3D%20%CF%80r%C2%B2%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Eis%20function%201%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Eand%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Er%28t%29%20%3D%200.5%20%2B%202t%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Eis%20function%202%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EThen%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EThis%20means%20that%20function%20r%28t%29%20should%20be%20applied%20to%20a%28r%29%20and%20it%20should%20be%20inside%20function%20a%28r%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3EThen%20composite%20function%20becomes%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ENow%20put%20the%20value%20of%20r%28t%29%20%3D%200.5%20%2B%202t%20into%20a%28r%29%20%3D%20%CF%80r%C2%B2%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%20%3D%20%CF%80%20%280.5%20%2B%202t%29%C2%B2%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ESo%20this%20is%20the%20composite%20function%20to%20find%20area%20of%20the%20region%20at%20time%20t%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ESimplifying%20this%20equation%20we%20get%3A%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%20%3D%20%CF%80%20%280.5%20%2B%202t%29%C2%B2%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%3D%20%CF%80%20%280.5%20%2B%202t%29%20%280.5%20%2B%202t%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%3D%20%20%CF%80%20%5B%280.5%20%2A%200.5%29%2B%20%280.5%20%2A%202t%29%20%2B%20%282t%20%2A%200.5%29%20%2B%20%282t%20%2A2t%29%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%3D%20%CF%80%20%280.25%20%2B%201t%20%2B%20%201t%20%2B%204t%C2%B2%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%3D%20%CF%80%20%28%200.25%20%2B%20t%20%2B%20t%20%2B%204t%C2%B2%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%3D%20%CF%80%20%280.25%20%2B%202t%20%2B%204t%C2%B2%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Ea%28r%28t%29%29%20%3D%20%CF%80%20%280.25%20%2B%202t%20%2B%204t%C2%B2%29%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E)
Step-by-step explanation:
Hope it helps you ✌️