Answer:
C.![y=6.75x+81.25](https://tex.z-dn.net/?f=y%3D6.75x%2B81.25)
Step-by-step explanation:
We are given that
In I year, number of participants=88
In V year, number of participants=115
We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.
Rate of change of participants =![\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bchange%5C%3Bin%3Bparticipants%7D%7Bchange%5C%3Bin%5C%3Btime%7D%3D%5Cfrac%7B115-88%7D%7B5-1%7D)
Rate of change of participants,m=6.75
Point-slope form:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where m=Rate of change of participants per year
![x_1=5,y_1=115](https://tex.z-dn.net/?f=x_1%3D5%2Cy_1%3D115)
By using the formula
Substitute the values then we get
![y-115=6.75(x-5)](https://tex.z-dn.net/?f=y-115%3D6.75%28x-5%29)
![y-115=6.75x-33.75](https://tex.z-dn.net/?f=y-115%3D6.75x-33.75)
![y=6.75x-33.75+115](https://tex.z-dn.net/?f=y%3D6.75x-33.75%2B115)
![y=6.75x+81.25](https://tex.z-dn.net/?f=y%3D6.75x%2B81.25)
Hence, option C is true.
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
The area and the circumference of the circle are 530.93 square ft and 81.68 ft. If fertilizer will be applied to the lawn. Then the area is used. If the lawn will be surrounded by tape. Then the circumference is used.
<h3>What is a circle?</h3>
It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The figure below shows a circular lawn. Its diameter is 26 ft.
Then the area of the circle will be
![\rm A = \dfrac{\pi }{4} d^2\\\\A = \dfrac{\pi }{4} \times 26^2\\\\A = 530.93 \ \ ft^2](https://tex.z-dn.net/?f=%5Crm%20A%20%3D%20%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%20d%5E2%5C%5C%5C%5CA%20%3D%20%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%20%20%5Ctimes%2026%5E2%5C%5C%5C%5CA%20%3D%20530.93%20%5C%20%5C%20ft%5E2)
Then the circumference of the circle will be
Circumference = π d
Circumference = π × 26
Circumference = 81.68 ft
If fertilizer will be applied to the lawn. Then the area is used.
If the lawn will be surrounded by tape. Then the circumference is used.
More about the circle link is given below.
brainly.com/question/11833983
#SPJ1
Answer:
1/6 in fraction or 0.166 in decimal
Answer:
Between (-6,0) and (-5,0).
Step-by-step explanation:
When it crosses the x axis, it's an x-intercept. To find the x-intercept, set y (aka f(x)) to zero. The solutions to the equation are approximately 3.36 and - 5.36. Since you're finding the negative x-intercept, you only need the negative solution - 5.36. This is in between (-6,0) and (-5,0).