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3 years ago

9

The real number square root of 23 belongs to which set of numbers?

1 answer:

BARSIC [14]3 years ago

8 0

It belongs to the set of Irrational Numbers.

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a city’s average temperature over five months is shown in the graph. which statement is not true of the data

mrs_skeptik [129]

Answer: March to April shows the least increase of average temperature.

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3 years ago

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

No singular point due to the exponent in the solution

The interval is $-\infty$

b

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave

Zarrin [17]

Answer:

2.82

Step-by-step explanation:

.15 x 18.80 = 2.82

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3 years ago

A container holds 4 quarts of lemonade. How much is this in cups?

Fantom [35]

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3 years ago

Read 2 more answers

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

$x= \frac{2}{3}$

Hence, the number is $\frac{2}{3}$

7 0

3 years ago