To prove the divisibility lets expand each number first to get the complete picture of the problem
51^7 = 8.974106779 . 10^11
51^6 = 1.75962878 . 10^10
(51^7 - 51^6) = 8.974106779 . 10^11 - 1.75962878 . 10^10
= 8.798143901. 10^11
= 3.51925756. 10^10
That is the answer expressed in scientific notation
= 35192575600
Which means the divisibility is proven
Given:
The table of values.
Hours (h) Dollars (d)
1 42
2 84
3 126
4 168
5 ?
To find:
The correct statements about the table.
Solution:
From the given table it is clear that,
This pattern can be defined as
Multiply h by 42 to get d. So, option A is correct.
Using this pattern, we get
The missing value in the last row is 210. So, option D is correct.
From the given table it is clear that the rate of change is $42 per hour because dollar is increasing by 42 in every hour.
A real-world situation that is represented in the table is “Richard is a video game designer and earns $42 per hour.”
Therefore, the option E is correct.
1.5 gallons x 3.785 liters x 1000 milliliters
---------------- -------------------- = 5677.5 milliliters
1 gallon 1 liter
Significant figures tells us that about how may digits we can count on to be precise given the uncertainty in our calculations or data measurements.
Since, one inch = 2.54 cm.
This is equivalent as saying that 1.0000000.. inch = 2.540000... cm.
Since the inch to cm conversion doesn't add any uncertainty, so we are free to keep any and all the significant figures.
Since, being an exact number, it has an unlimited number of significant figures and thus when we convert inch to cm we multiply two exact quantities together. Therefore, it will have infinite number of significant figures.
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
