Answer:
1936
Step-by-step explanation:
The geometric sequence among following is:
Option: B
8 , 4 , 2 , 1 , 1/2 , 1/4 ,.....
Geometric sequence--
A sequence is said to be a geometric sequence if each of the number in the sequence is a constant multiple of the preceding term in the sequence.
This constant multiple is known as the common ratio (r)
i.e. the sequence is given by:
a,ar,ar²,ar³,.....
A)
0,1,2,3,......
It is a arithmetic sequence and not a geometric sequence .
Since, each of the term is increasing by 1 as compared to the preceding term of the sequence.
B)
8,4,2,1,1/2,1/4,.....
It is a geometric sequence.
Since, each term of the sequence is a constant multiple of 1/2 of the preceding term of the sequence.
i.e. 8×(1/2)=4
4×(1/2)=2
2×(1/2)=1
1×(1/2)=1/2
and so on.
i.e. the common ratio is: 1/2
C)
-7,10,23,36,.....
This is not a geometric sequence.
Since,
but
D)
2,-3,9/2,-18/4
Here
but
Hence, it is not a geometric sequence.
Complete the function table.
-S
0
1
4
5
X
0
0
0
0
0
5
The given functionrule is:
f(x) = 2x - 5. Therefore, the finished function table will end at 5.
We must assess the function f(x) for each value of x given in order to finish the function table:
For x = -3:
f(-3) = 2(-3) - 5 = -6 - 5 = -11
For x = 0:
f(0) = 2(0) - 5 = -5
For x = 1:
f(1) = 2(1) - 5 = -3
For x = 4:
f(4) = 2(4) - 5 = 3
For x = 5:
f(5) = 2(5) - 5 = 5
The finished function table is as follows:
x f(x)
-3 -11
0 -5
1 -3
4 3
5 5
ending at variable 5.
The function rule that is provided is:
f(x) = 2x - 5
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A. 5
B. 11
C. 6
D. 7
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The degree of a monomial is the sum of the exponents of its variables. For the given monomial 7m^6n^5, adding the exponents gives us a degree of 11. Thus, the correct choice is B. 11.
The degree of a monomial is the sum of the exponents of all its variables. If we look at the monomial 7m^6n^5, we see that m is raised to the exponent 6 and n to the exponent 5. Adding these exponents together, we find that the total degree of this monomial is 11. Therefore, the correct answer is B. 11.
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The rectangle has a length of 3√5 and a width of 2√7. The perimeter is calculated as 23.9 approximately.
Use the concept of a rectangle defined as:
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Given that,
Length of the rectangle: 3√5
Width of the rectangle: 2√7
To find the perimeter of a rectangle,
Use the formula P = 2(length + width).
In this case,
The length is 3√5 and the width is 2√7.
Applying the formula, we get:
P = 2(3√5 + 2√7)
To simplify this expression, distribute the 2:
P = 6√5 + 4√7
p ≈ 23.9
Hence,
The perimeter of the rectangle is approximately 23.9.
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Answer:
Step-by-step explanation:
Area=Length times width
A=3*2
A=6