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Andru [333]
3 years ago
11

Find the 72nd term of the arithmetic sequence 11, 7, 3, ...

Mathematics
1 answer:
Katen [24]3 years ago
3 0

Answer:

-273

Step-by-step explanation:

find the common difference:

d = 7 - 11 = - 4

a_1 = 11

a_72 =  (72 - 1)* (-4)  +  a_1

a_72 =  (71)* (-4)  +  11

a_72 =   -273

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B & C

Step-by-step explanation:

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What are the solutions to the quadratic equation 98-x2=0
kifflom [539]

98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}

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3 years ago
Sally has 300 tangerines and and and 3%are Wayne's what percent does Sally have
marishachu [46]

Answer:

The answer is 97%

Step-by-step explanation:

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5 0
2 years ago
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the
dalvyx [7]

To solve the problem we must know about quadratic equations.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The breadth of the rectangle is 200 ft, while the length is 210 ft.

<h2>Explanation</h2>

Given to us

  • Area of the parking lot = 42,000 ft²
  • Perimeter of the parking lot = 820 ft

<h3>Area of the parking lot</h3>

Area of the parking lot = Area of the rectangle

42,000 ft² = Length x Breadth

Solving for L,

42,000 = L \times B\\\\&#10;L = \dfrac{42,000}{B}

<h3>Perimeter of the parking lot</h3>

Perimeter of the parking lot = Perimeter of the rectangle

820 ft. = 2(Length + Breadth)

820 ft. = 2(L+ B)

2(L+ B) = 820\\\\&#10;(L+B) = \dfrac{820}{2}\\\\&#10;(L+B) = 410

Substituting the value of L,

(L+B) = 410\\\\&#10;(\dfrac{42,000}{B}) +B = 410\\\\&#10;42000 + B^2 = 410B\\\\&#10;B^2 -410B +42000 = 0

<h3>Quadratic Expression</h3>

Solving the quadratic Expression,

B^2 -410B +42000 = 0\\\\&#10;(B-210)(B-200)=0

Equation the factors against zero,

B-210=0

B = 210

B-200=0

B = 200

Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.

Learn more about Quadratic Expression:

brainly.com/question/10025464

4 0
2 years ago
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