Answer:
A
Step-by-step explanation:
Mechanical energy (ME) is Kinetic energy + potential energy
Where
Kinetic Energy (KE) = 1/2 * m * v^2
where m is the mass (in kg) and v is the speed of the object (in m/s)
and
Potential Energy (PE) = m*g*h
Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)
Hence
ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)
So,
Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.
Answer:
The answer to your question is 6.- B 7.- D
Step-by-step explanation:
Data
Parallelogram ACFG
6.-
m∠GAC = 112°
m∠ACF = ?
Process
These angles are supplementary, they measure the same.
∠GAC + ∠ACF = 180
-Substitution
112 + ∠ACF = 180°
-Solve for ∠ACF
∠ACF = 180° - 112°
-Result
∠ACF = 68°
7.-
m∠AGF = 2a + 10
m∠ACF = a + 20
The angles ∠GAC and ACF are equal, they measure the same.
∠GAC = ∠ACF
-Substitution
a + 20 = 2a + 10
-Solve for a
a - 2a = 10 - 20
-Result
-a = -10
a = 10
-Find ∠AGF
∠AGF = 2(10) + 10
20 + 10
= 30°
Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
Step-by-step explanation:
We need to understand what residual plot is?
A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.
Hence, there are 2 cases related to the relation between residual plot and a linear model:
1. If the points in a residual plot are randomly dispersed around the horizontal axis => the linear model is an appropriate fit for the data
2. If the points in a residual plot has a pattern => nonlinear model is more appropriate or the line have a bad fit with the set of the data.
Hope it will find you well.
