We have a4 = a1 * q^3;
Then, 16 = a1 * (1/8);
a1 = 128;
<span>The formula for the nth term of a geometric sequence is an = a1 * q^n;
an = 128 * (1/2)^n = (2^7)/(2^n) = 2^(7-n);</span>
Answer:
This is an acute triangle
Step-by-step explanation:
Pythagoras theorem is used to determine if a triangle is right, acute or obtuse
If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.
If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.
If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.
so,
As 1600<1945, the given triangle is an acute triangle ..
The product of three is the same as [ * 3 ]
The sum of a number and five is the same as [ n + 5 ]
[ 3 ] is being multiplied to the sum of [ n + 5 ], so, we can write this using the distributive property [ a(b + c) ]
Put the expression together:
3(n + 5)
Best of Luck!
Answer:
D.
The points do not follow the line of fit, and the line is increasing.
Step-by-step explanation:
Given that correlation coefficient between two variables x and y is 0.30
This implies that there is a positive relationship in other words, when x increases y increases.
Since r is close to 0 than to 1, there is a weak correlation only.
So all points will not lie very close to the line.
There will be positive slope and hence line would be increasing.
Out of the four options correct option would be that which says all points do not follow line of fit and line increases
So option d is right
D.
The points do not follow the line of fit, and the line is increasing.