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4 years ago

What is the divisibility rule(s) for 93?

Mathematics

2 answers:

My name is Ann [436]4 years ago

7 0

It is prime, it can't be divided by anything, but itself and one.

Zina [86]4 years ago

7 0

Its a prime number. Prime numbers can not be divided by any number but itself and one

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A. Find y in terms of x if

givi [52]

Answer:

A. $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

B.Therefore the solution is defined on the interval:

6≤ x ≤ +∞

Step-by-step explanation:

Given differential equation is

$\frac{dy}{dx} = x^4y^{-1}$

$\Rightarrow \frac{dy}{dx} =\frac{ x^4}{y}$

$\Rightarrow y dy = x^4dx$

Integrating both sides:

$\Rightarrow\int y dy = \int x^4dx$

$\Rightarrow \frac{y^2}{2} =\frac{x^5}{5} +C$ ........(1)

Given y(0)= 6

it means y=0 when x=6

Putting x=6 and y=0 in the equation (1)

$\therefore \frac{0^2}{2} =\frac{6^5}{5} +C$

$\Rightarrow C=-\frac{6^5}{5}$

Equation (1) become:

$\Rightarrow \frac{y^2}{2} =(\frac{x^5}{5} -\frac{6^5}{5})$

$\Rightarrow y} =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

Therefore $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

(B)

The quantity under root must greater than or equal to zero.

Therefore,

$2(\frac{x^5}{5} -\frac{6^5}{5})} \geq0$

$\Rightarrow \frac{x^5}{5} -\frac{6^5}{5}} \geq0$

$\Rightarrow \frac{x^5}{5} \geq\frac{6^5}{5}}$

$\Rightarrow x^5\geq {6^5$

$\Rightarrow \sqrt[5]{x^5} \geq \sqrt[5]{6^5}$

$\Rightarrow x\geq {6$

When x≥0 then the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is real other wise the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is imaginary.

Therefore the solution is defined on the interval:

6≤ x ≤ +∞

8 0

4 years ago

The diameter of a circle is 8 inches. what is the circle's circumference

Svetradugi [14.3K]

Answer:

approx. 25.13

Step-by-step explanation:

C= 2πr

radius is half diameter

6 0

3 years ago

Read 2 more answers

When should you record a 1in the tens column when you regroup in an addition problem

katen-ka-za [31]

You should record the 1in when tens column after the five

8 0

4 years ago

Find Brandon's ratio of total cholesterol to HDL cholesterol using the

Nitella [24]

Brandon's ratio of total cholesterol to HDL cholesterol using the given information in its simplest form is 55 : 7

<h3>Ratio</h3>

This is the comparison between two or more quantities.

Total cholesterol = 275 mg/dL
HDL cholesterol = 35 mg/dL

Brandon's ratio of total cholesterol to HDL cholesterol

275 : 35

= 275 / 35

= 55 : 7

Therefore, the Brandon's ratio of total cholesterol to HDL cholesterol using the given information in its simplest form is 55 : 7

Learn more about ratio:

brainly.com/question/2328454

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5 0

2 years ago

Which of the following options is equivalent to 140% Select all that apply.

Natali [406]

--------------------------------------------------
Change each of the options into percentage
---------------------------------------------------

--------------------------------------------------
Option A: Decimal to percentage: x100
---------------------------------------------------
0.14 x 100 = 14%

--------------------------------------------------
Option 2: Fraction to percentage: x100
---------------------------------------------------
5/7 x 100 = 71.4%

--------------------------------------------------
Option C: Fraction to percentage: x 100
---------------------------------------------------
12/5 x 100 = 240%

--------------------------------------------------
Option D: Decimal to percentage: x 100
---------------------------------------------------
1.4 x 100 = 140%

--------------------------------------------------
Answer D
---------------------------------------------------

5 0

4 years ago

Read 2 more answers