Answer:
Step-by-step explanation:
The scale factor is given as 1:500,000
i.e. original 500,000 is represented as 1 inch in the map
Hence if 12.7 inches on the map, this is a question of direct variation
So actual distance = 12.7(500000) = 6350000
Okay so a couple of things to know to best solve this problem
1) all angles in a triangle add to 180
2) a straight line the angles above it equal 180 and the angles below it add to 180
3) vertical angles are equal (vertical angles are angles that make an X the opposite angles are called vertical angles)
Answer:
x=4
Step-by-step explanation:
4(3x+5)=6(x+8)-x
Distribute
12x +20 = 6x +48 -x
Combine like terms
12x+20 = 5x+48
Subtract 5x from each side
12x-5x +20 = 5x-5x+48
7x +20 = 48
Subtract 20 from each side
7x+20-20 = 48-20
7x = 28
Divide each side by 7
7x/7 = 28/7
x = 4
Answer:
a) -0.5
Step-by-step explanation:
Correlation
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
Anxiety symptoms and life satisfaction are negatively correlated. As life satisfaction increases the anxiety symptoms decreases.
Thus, a moderate correlation between them can be expressed by a correlation coefficient of -0.5
Answer:
D
Step-by-step explanation:
given p² + 4p - 12 = 0 ← in standard form
with a = 1, b = 4, c = - 12, then the discriminant
Δ = b² - 4ac
= 4² - (4 × 1 × - 12) = 16 - (- 48) = 16 + 48 = 64 → D
