Answer:
400,000,000+30,000,000+200,000+90,000+100
Look at the attached image (credit to Desmos graphing calculator)
To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.
Let's try x=0:
One point on the line is (0,1)
Let's try x=1:
Another point is (1,5).
Now, plot these two points and draw a line through them.
Answer:
The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).
Explanation:
<u>Arithmetic Sequences</u>
In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.
We are given the following sequence:
5, 11, 17, 23, 29, ...
Each term is located in a position starting from n=1. Let's test each option:
A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.
B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.
C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):
5+6(2-1)=5+6=11. Correct. For n=3
5+6(3-1)=5+12=17. Correct.
We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.
D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.
Answer:
38.6m
Step-by-step explanation:
Theory of solving angle of elevation problem bus to take it as a right angle triangle.
The length of the the rope is the hypotenuse and the angle formed is the hypotenuse angle.
To determine the height , we take the side as opposite the angle.
Sin (angle) = height/hypotenus
Sin40= height/60
0.6428 *60 = height
38.568 = height
Approximately 38.6m
Answer:
square root of 31 inches
Step-by-step explanation:
Since a square has 4 equal sides, that means that the area has to be x^2=31, and since 31 isn't a perfect square it's the square root of 31
