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andre [41]
3 years ago
13

What is the solution to 7 • p = –56? a. p = –49 b. p = –8 c. p = 8 d. p = 49

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0
The correct answer is p=-8
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What is the solution to the system of equations?<br><br> y = 2x – 3.5<br><br> x – 2y = –14
zhenek [66]
1. x-2(2x-3.5)=-14
    x-4x+7=-14
    -3x=-21
    x=7
2. y=2(7)-3.5
    y=14-3.5
    y=10.5
hope this helps!
4 0
4 years ago
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These
Leya [2.2K]

Answer:

a) The population of interest = 10,000 benefited employees.  It includes all benefited employees.

b) The sample collected = 3,095.  These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data:              Categorical or Numerical    

Gender                                = Categorical

Age (years)                          = Numerical

Education level                    = Numerical

 (years completed)

Marital status                       = Categorical

Household income ($)        = Numerical

Employment Category        = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.).  It is a continuous variable.  A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

8 0
3 years ago
Find all solutions of the equation in the interval (0,2π) <br> cot theta +root 3 = 0
Alisiya [41]

Answer:

θ = 5π/6 rad and 11π/6 rad

Step-by-step explanation:

Given the expression cotθ+√3=0

Subtract √3 from both sides

cotθ+√3-√3=0-√3

cotθ = -√3

Since cotθ = 1/tanθ

1/tanθ = -√3

Reciprocate both sides:

tanθ = -1/√3

θ = tan^-1(-1/√3)

θ = -30°

Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

θ = 180-30

θ = 150°

Since 180° = πrad

150° = 150π/180

150° = 5π/6 rad

In the fourth quadrant;

θ = 360-30

θ = 330°

Since 180° = πrad

330° = 330π/180

330° = 11π/6 rad

Hence the solutions are 5π/6 rad and 11π/6 rad.

7 0
3 years ago
What is the next term of the geometric sequence?<br> 40/27, 20/9, 10/3
ss7ja [257]

Answer:

Step-by-step explanation:

5/1

4 0
3 years ago
What is the equation of the line that passes through the point <br> (−3,5) and has a slope of -2?
GenaCL600 [577]

Answer:

y = -2x-1

Step-by-step explanation:

y = -2x+b

5 = -2(-3)+b

5 = 6+b

-1 = b

3 0
3 years ago
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