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3 years ago

John swam halfway across a circular pond (radius). He has gone 132 yds. What is the diameter of the pond?

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer:

D. 264yards

Step-by-step explanation:

If John swam halfway across a circular pond (radius) and he has gone 132 yds, then the radius of the circular pond is 132yards.

Diameter of the pond = 2×radius of the pond

Diameter of the pond = 2×132

Diameter of the pond = 264yards

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Suppose a poker hand contains seven cards rather than five. Compute the probabilities of the following poker hands: (a) a seven-

geniusboy [140]

Answer:

a) 0.00031

b) 0.0017

c) 0.31

d) 0.00018

Step-by-step explanation:

attached below is the detailed solution

Total number of 7-poker cards are 52P7 = 133784560

A) Determine the probabilities of Seven-card straight

probability of seven-card straight = 0.00031

B) Determine the probability of four cards of one rank and three of a different rank

P( four cards of one rank and three of different rank ) = 0.0017

C) Determine probability of three cards of one rank and two cards of each two different ranks

P( three cards one rank and two cards of two different ranks ) = 0.31

D) Determine probability of two cards of each of three different ranks and a card of a fourth rank

P ( two cards of each of three different ranks and a card of fourth rank ) = 0.00018

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2 years ago

Solve the equation -5=y for x.

sesenic [268]

Answer: 5 = y

Step-by-step explanation:

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2 years ago

You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write

skad [1K]

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

384=12x

x= 32

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2 years ago

What you word phrase can you use to represent 5x+2

Archy [21]

Answer:

five times a number plus two

Step-by-step explanation:

4 0

3 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

2 years ago