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3 years ago

Why is Pi never ending?

1 answer:

6 0

If the decimal expansion of pi would end, then it would have to be a rational number, ie pi could be written as a fraction pi = p/q with integers p and q. There are many proofs that this is not the case, but they are all a bit complicated

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The average weight of the top 5 fish at a fishing tournament was 13.6 pounds. Some of the weights of the

lapo4ka [179]

Answer: Carla P. 15.1

Step-by-step explanation:

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3 years ago

Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

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2 years ago

Read 2 more answers

45 POINTS

vladimir1956 [14]

Answer:The minunum quality of the beries is 7

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2 years ago

Read 2 more answers

Q5.Jumbo is standing on top of a cliff looking at a speed boat out at sea.The vertical of the cliff from the base (sea level) to

Leni [432]

Answer:

A) 150 m

B) 180.28 m

Step-by-step explanation:

A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

a² + b² = c²
(80)² + b² = (170)²
b² = 170² - 80²
b² = 22500
b = 150

The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

(100)² + (150)² = c²
32500 = c²
180.28 = c

The distance between the helicopter and the speed boat is 180.28 m.

8 0

2 years ago

A truck is carrying 8 cars weighting an average of 4500 pounds each. What is the total weight in tons of the cars on the truck?

umka2103 [35]

Answer:

the total weights in tons is 18

Step-by-step explanation:

The computation of the total weights in tons is shown below:

The weight of 8 cars would be

= 4,500 pounds × 8 cars

= 36,000 pounds

Now as we know that 1 ton = 2,000 pounds

So for 8 trucks it would be

= 36,000 pounds ÷ 2,000 pounds

= 18 tons

Hence, the total weights in tons is 18

8 0

2 years ago