Hello :
the common ratio is r = -95-(-100)=5
the general terme is : un= u1+(n-1)r
un = -100 +(n-1)(5)
un =-100 +5n-5
un = 5n-105
The last term is : 100
un =100
5n-105 = 100
5n =205
n = 41 (Number of terms)
The last term is : u 41
<span>the sum is : S= (41/2)(-100+100)=0</span>
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x = 
Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:

Where C is circumference
r is the radius
Substituting, we get the answer as:

The distance covered is about <u>207.35 inches</u>
Answer:
62
Step-by-step explanation:
Answer:
10 books per box
Step-by-step explanation:
40÷4
=10
10×4= 40