Answer:18
Step-by-step explanation:
Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.
Taking a look at the examples again,
Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1
Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3
Based on the information given, the number is 13
<h3>How to determine the number</h3>
From the information given;
Let the number be x
We have that;
3(my number) + 10 = my number + 36
Substitute the number as x, we have;
3x + 10 = x + 36
collect like terms
3x - x = 36 - 10
2x = 26
Make 'x' the subject of formula
x = 26/ 2
x = 13
The number is 13
Thus, based on the information given, the number is 13
Learn more about algebraic expressions here:
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Answer:
The area would be '15l - l²
Step-by-step explanation:
Given,
By 30 feet of wire fencing we need to make a rectangular shape,
Thus, perimeter of such rectangle = 30 feet,
We know that,
Perimeter of a rectangle = 2( length + width)
if length = l feet,
⇒ 2(l + width) = 30
⇒ 2l + 2 × width = 30
⇒ 2 × width = 30 - 2l
⇒ width =
= (15-l) feet,
Now, area of the rectangle,
A = length × width
= l × (15-l)
= 15l - l²
Which is the required polynomial expression.
Note :
Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.
Answer:
9
Step-by-step explanation:
The answer to | − 12 + 3 | is 9 because if you add -12 + 3, you get -9. However, since it is the <em>absolute value</em>, we would make it the same number but positive.
Hope this helped! :)
Answer:
Hey there!
The circumference of a circle is
, where d is the diameter, and
is a constant roughly equal to 3.14.
The diameter is 16, so plugging this into the equation, we get 3.14(16)=50.24.
The circumference of the circle is 50.24 yards.
Hope this helps :)