Answer:
There will be 9 groups of 8 and 1 group of 6.
Step-by-step explanation:
78/8 = 9.75
This means there will be 9 groups of 8.
The .75 represents the smaller group.
The smaller group consists of 6 people.
You can find the amount of people from .75 x 8, which equals 6.
Answer:
The net pay = 6278.79 dollars
Step-by-step explanation:
Net pay = gross pay - (federal income tax + FICA-Social Security tax + FICA-Medicare Tax).
gross pay = 8288 dollars
While
FICA social security tax:
6.2% of $8288
8,288 × 6.2/100 = 513.86.
FICA-Medicare tax: 1.45% of $8288
8,288 ×1.45/100 = 120.18
The net pay = 8,288 - (1,375.17 + 513.86 + 120.18).
= 8288 - 2009.21
The net pay = 6,278.79 dollars
Answer:
![\left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The product of a scalar times the matrix involves the product of that scalar times each of the elements of the matrix, resulting on the multiplication by "-4" of each of the four elements as shown below. These new product values end up being the new matrix elements.
![-4*\left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right] = \left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=-4%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Answer:
A researcher studies length of time in college, first through fourth year, and its relation to academic motivation. To get the most detail out of her measures, she assesses each student in both the fall and spring semesters of each of their four years in school. She finds that students have increasingly higher motivation from their first semester to their seventh semester (the start of their fourth year), with a trailing off in the last semester. The independent variable are:
- Semester in school
- Year in school
Step-by-step explanation:
- The dependent variable in the given scenario is academic motivation as she is researching on academic motivation so this factor is influencing the results.
- The semester and year in school are independent variables as these two factors are not influencing the results or research.
Answer:
C) 63.9 square units
Step-by-step explanation:
From the above diagram, we can see that the triangle has 2 sides and and angle
The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ
θ = 70°
a = DE = 8 units
b = EF = 17 units
Area of ΔDEF = 1/2 × 8 × 17 × sin 70°
Area of ΔDEF = 63.9 square units.
