Find the distance between A(-3, 2) and B(5, -1).

Answer:

the volume of the solid is [tex]\frac{\pi }{120}[/tex]

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = [tex]\frac{\pi }{4}[/tex]( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x² + x⁴ - 2x³ ) dx  

= [tex]\frac{\pi }{4}[/tex] [tex][[/tex] [tex]\frac{x^3}{3}[/tex] + [tex]\frac{x^5}{5}[/tex] - [tex]\frac{2}{4} x^4[/tex] [tex]]^1_0[/tex]

= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{4}[/tex] ]

= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{30}[/tex] ]

V = [tex]\frac{\pi }{120}[/tex]

Therefore, the volume of the solid is [tex]\frac{\pi }{120}[/tex]

9514 1404 393

Answer:

  (c) reflection about x-axis, shift right 1

Step-by-step explanation:

The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.

Here, we have p=-2, h=1, so the graph is ...

This collection of transformations matches the 3rd choice.

_____

Additional comment

The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)

Answer:

yes 6 lines are symmetry

Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

Answer:

1, 2, or 3

Step-by-step explanation:

if it's third degree then there must me 1 to 3 roots

hope you find this helpful :)

Answer: 0 or 2

Step-by-step explanation:

took test on edge2020

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

Answer:

[tex]A = 19.63cm^2[/tex]

Step-by-step explanation:

Given

[tex]d =5cm[/tex]

[tex]Weight = 1.6g/cm^2[/tex]

Required

The area (A) of the disk

This is calculated as:

[tex]A = \frac{\pi * d^2}{4}[/tex]

So, we have:

[tex]A = \frac{3.14 * 5^2}{4}[/tex]

[tex]A = \frac{3.14 * 25}{4}[/tex]

[tex]A = \frac{78.5}{4}[/tex]

[tex]A = 19.625[/tex]

[tex]A = 19.63cm^2[/tex] --- approximated

Answer:

demographic

Step-by-step explanation:

Answer:

d. 20 qt.

Step-by-step explanation:

4 quarts to a gallon so 4x5= 20

Answer:

x<0

Step-by-step explanation:

See image below:)

Answer:

Mark up % = 25%

Step-by-step explanation:

Cost of 100 shirts = 2000

Cost of 1 shirt = 2000/100 = 20

Selling price of  1shirt = 25

[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]

9514 1404 393

Answer:

  x ≈ -1.5 or 2.6

Step-by-step explanation:

It appears as though your graph crosses the line y = -2 at approximately x = -1.5 and also at x = 2.6.

These are estimates of the solutions to the equation.

  x ≈ {-1.5, 2.6}

Answer:

-2 and 3

Step-by-step explanation:

From the graph, the solution is the points where the curve cuts the x axis. From the graph, you can see that the equation cuts the x axis at two points that is at x=-2 and 3.

Hence the solutions to the equation is -2 and 3

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

Hope this help!!!

Have a nice day!!!

Answer:

2

Step-by-step explanation:

√3x=√3+√3=2√3⇒x=2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = 2}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{3} x - \sqrt{3} = \sqrt{3} [/tex]

➺ [tex] \: \sqrt{3} x = \sqrt{3} + \sqrt{3} [/tex]

➺ [tex] \: \sqrt{3} x = 2 \sqrt{3} [/tex]

➺ [tex] \: x = \frac{2 \sqrt{3} }{ \sqrt{3} } [/tex]

➺ [tex] \: x = 2[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]

Answer:

16 cents

Step-by-step explanation:

6 divided by 36 = 0.16666667

Answer:

1080033

Step-by-step explanation:

=========================================

Explanation:

1,000,000 = 1 million

80,000 = 80 thousand

Adding those two would get us

1,000,000+80,000 = 1,080,000

Then we change those last two zeros at the end of "1,080,000" to 33 instead to get the final answer  1,080,033. This is done because we're adding 30+3 = 33 at the end.

----------------------

Extra info:

Answer:

Step-by-step explanation:

Answer:

sin θ = 12 / 13

Step-by-step explanation:

Given that :-

A right triangle having

Hypotenuse = 13

adjacent side ( Base ) = 5

Opposite side ( perpendicular ) = ?

To Find :-

Solution :-

Firstly ,we need to find opposite side ( missing side ) of triangle

Using Pythagorean theorem

a ² + b ² = c ²

substitute the value

( 5 ) ² + ( b) ² = ( 13 ) ²

evaluate the exponent

25 + b² = 169

subtract 25 from each side

25 - 25 + b² = 169 - 25

b ² = 144

Take the square root of each side

√b² = √144

b = 12

Hence , opposite side , b = 12

And , Finding sin θ

sin θ = opposite side / hypotenuse

sin θ = 12 / 13

Answer:

2,4,6,8,10,12,14,16,18,20

Answer:

How do you make the number 7 an even number without addition, subtraction or multiplication?

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22 Answers



Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)

Answered 4 years ago

You can remove alphabet S from SEVEN.

You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.

Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.

Introducing a new number system and interchange position of 7 with an even number.

If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.

These are some genuine ways rather than dividing.

ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .

Answer:

D) 20

Step-by-step explanation:

Answer:

D) 20

Step-by-step explanation:

they are asking for the longest length of the triangle. as you can see, 20 is just over 15, and from the diagram, the missing length is just over 15 so we can apply our knowledge to come to the answer of 20.

Answer:

C

Step-by-step explanation:

Street name has nothing to do with numerical values, therefore it cannot be quantitative. If we take the two qualitative answers left, one of them says something about numbers, so it cannot be that one. C is the only one left over after process of elimination.

Answer and Step-by-step explanation:

4m + 18 is an expression.

This is because it has terms and no equal/inequality sign.

#teamtrees #PAW (Plant And Water)

Answer: Constant

Step-by-step explanation: Its an Constant because every variable is different in the expression.

Answer:

3/10 30%.3

hooe its write

Answer: s < $20

Step-by-step explanation:

Since Dawn has less than $60 and wants to buy 3 sweaters, then the price of sweaters that she can afford if all the sweaters are the same price will be:

(3 × s) < $60

where,

s = price of each sweater

3s < $60

Divide both side by 3

3s/3 < $60/3

s < $20

The price of each sweater is less than $20