Answer:
Step-by-step explanation:
1/2*(x-8)+3x=x/2-4+3x=3.5x-4
Hope this helps!
Answer:
The manager should include 7 independent variables in her multiple regression analysis.
Step-by-step explanation:
Lets consider sales revenue to bethe dependent variable and, type of sport, color, and target audience, the categorical variables represented with dummy variables. Just remeber that one fewer dummy variables than the number of options in a category must be used, so, type of sport should be represented by: 3 - 1 = 2 dummy variables
color should be represented by 5 - 1 = 4 dummy variables, and
target audience should be represented by 2 - 1 = 1 dummy variables
This totalizes: 2 + 4 + 1 =7 independent variables.
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:






Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
Answer: How many greeting cards he sells
Step-by-step explanation:
The cards are 5 dollars each. 1.99 for shipping is all the same. The only thing that changes is the amount that he sells. So the amount of Greeting cards sold is the dependent variable.
Answer:
1) b=14.34 units.
2) a=20.48 units
Step-by-step explanation:
since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.
let the base be denoted by 'B'.
height or perpendicular side of the triangle be denoted by 'P'.
and hypotenuse of the triangle be denoted by 'H'.
then using sine and cosine trignometric identity we have:

and 
Here x=35°
and H=25 units , P=b and B=a
Hence 
as 
hence, b=14.3394 units.
also 
and 
Hence a=20.4788 units
In two decimal places we could represent it as:
a=20.48 units
and b=14.34 units.