Answer:
23
Step-by-step explanation:
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy = 
mv²
So,
Energy = ×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.
The drop down menus are not provided. However, I will help get the solution of the system of equation which is the requirement of the question.
<u><em>Answer:</em></u>
(3,14) and (-2,-1) are the solutions of the system
<u><em>Explanation:</em></u>
<u>The first equation given is:</u>
y = x² + 2x - 1 .........> equation I
<u>The second given equation is:</u>
y - 3x = 5
<u>This can be rewritten as:</u>
y = 3x + 5 ..........> equation II
<u>Equate equations I and II and solve for x as follows:</u>
x² + 2x - 1 = 3x + 5
x² + 2x - 1 - 3x - 5 = 0
x² - x - 6 = 0
(x-3)(x+2) = 0
either x-3 = 0 .........> x = 3
or x+2 = 0 ...........> x = -2
<u>Now, we get the values of y by substituting in equation II as follows:</u>
At x = 3:
y = 3x + 5
y = 3(3) + 5
y = 14
The first solution is (3,14)
At x = -2:
y = 3x + 5
y = 3(-2) + 5
y = -1
The second solution is (-2,-1)
Hope this helps :)
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
