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-Dominant- [34]
2 years ago
9

Once the boat is 2,500 feet away from the port, it is no longer your responsibility to track it. will the boat be 2,500 feet awa

y after two minutes? the speed of the boat is 30 ft per second
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

Step-by-step explanation:

30*60=1800ft/minute

2500-1800=700

700/30=23.3333333333

60+23.3333333333=83.3333333333 seconds

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Is 0.44 rational or irrational
ArbitrLikvidat [17]

0.44 rational

/0.4 irrational

/0.44 irrational


8 0
3 years ago
Read 2 more answers
What is the value of log279?<br> -3/2, -2/3, 2/3, 3/2
kaheart [24]

Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

3 0
2 years ago
The perimeter of the triangle shown is 412 meters. Find the length of each side.
Fudgin [204]

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

7 0
2 years ago
For circle O, mCD=125° and m
Burka [1]

CA is a diameter of the circle, so m\widehat{AC}=180^\circ, which means m\angle AOB=m\angle AOD=m\widehat{AD}=180^\circ-m\widehat{CD}=55^\circ. Then m\boxed{\angle ABO}=90^\circ-55^\circ=35^\circ.

This means m\angle CBO=55^\circ-35^\circ=20^\circ. Also, if m\angle AOB=55^\circ, then m\angle BOC=180^\circ-55^\circ=125^\circ, which in turns tells us that m\boxed{\angle BCO}=180^\circ-20^\circ-125^\circ=35^\circ.

3 0
2 years ago
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
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