The nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence . NEED HELP
Answers
Answer:
The answer is - 65
Step-by-step explanation:
From the question the nth term of the sequence is
3n² - 10
where n is the number of terms
Since we are finding the 5th term
n = 5
Substitute this value into the above formula
That's
3(5)² - 10
= 3( 25) - 10
= 75 - 10
We have the final answer as
- 65
Hope this helps you
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The average high temperature in a town for the month of July is 36.71 C. One day in July the temperature reached a record high of 39.52 c. How much higher is the record high temperature than the average high temperature?
What is the solution to the equation 1/2 (x-12) + 4 = 1/3 (6x-15)?
Write an inequality that compares-6, 3, and 5
Answers
Answer:
.2 Repeating
Step-by-step explanation:
2x+y=82x+y=8
If we double each side of the second equation, 2x+y=82x+y=8, we have 4x+2y=164x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams (upload a picture), or by inventing a situation that the equations represent.
If we add the two equations in the original system, we have 6x+7y=326x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if needed.
Answers
Final answer:
The equations are a system of linear equations. Modifying them through multiplication or addition while keeping both sides balanced doesn't change the solution. Any pair (x,y) satisfying one equation will satisfy the others.
Explanation:
In mathematics, these equations are a system of linear equations. This is essentially a set of two or more equations, with a common set of variables. The same pair (x, y) are the solutions for all equations, as the second equation is a simplified, scalar multiple of the first.
So, for the first original equation (4x + 6y = 24), and the modified one (4x + 2y=16) which is the second equation of the system doubled, we can see that the multiplier is the same for both the 'x' and 'y' on the left side, and the right side of the equation. Therefore, if a pair (x,y) has been found to satisfy the first equation, it will also work for the second, as essentially, the equations are equivalent.
Similarly, adding the original system of equations, we get 6x + 7y = 32. This also has the same solution set, just expressed differently. As long as you're performing the same operation (like doubling, adding etc.) to each side of the equations, the balance remains constant, retaining the same solution.
Learn more about System of Linear Equations here:
#SPJ12
Answer:
7.9
Step-by-step explanation:
because you don't make sentence
B. Non-repeating
C. Can be written as a ratio
D. Terminating
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your answer is a:
Answers
Answers
Answer:
The diameter of circle is 24 cm.
Step-by-step explanation:
We are given the following in the question:
Circumference of circle = 75.36 cm
We have to find the diameter of the circle.
Circumference of circle =
where r is the radius of the circle.
Putting values, we get,
Diameter of circle =
Thus, the diameter of circle is 24 cm.
Answers
Area = 36 1/4 = 36.25 ft^2
Length = 8 3/4 = 8.75 ft
Unless this is a trick question, where the length can be found in the given values of the problem (where the answer would simply be L = 8.75ft), let us solve for the missing measurement, which is the width. A rug is rectangular, so to obtain the width, the area must be divided by the length. This is shown below:
Width = Area / Length
Width = 36.25 / 8.75
Width = 4.14 ft.