Convert the repeating decimal, 0.32323232 to fraction

Answer:

true

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

This gigantic system, powered by energy from the Sun, is a continuous exchange of moisture between the oceans, the atmosphere, and the land. Earth's water continuously moves through the atmosphere, into and out of the oceans, over the land surface, and underground.

The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.

The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.

the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.

The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:

Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units

Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units

Now we can calculate the areas of the outer and inner rectangles:

Area of the outer rectangle = length * width = 5 * 7 = 35 square units

Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units

Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units

Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.

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9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  \(\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}\)

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

\( \large╚»★«╝ { \mathcal{Answer }}╚»★«╝\)

The Correct option among them is B

_____________________________________

The other options have one variable each, but according to the given question there should be two variables in the inequality.

The only choice satisfying the conditions is Option B

having two variables in it ( that is "m" and "n" )

\( ꧁ \: \large \frak{Eternal \: Being } \: ꧂\)

The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

The equation of a line in slope intercept form is expressed y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:

Slope = y₂-y₁/x₂-x₁

Slope = 4/-5

Slope = -4/5

Determine the equation

y = -4/5x + (-4)

y = -4/5x - 4

Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

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The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

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Answer:

the last one, y=x-6

Step-by-step explanation:

it is the only answer with an x-intercept of 6. you did not provide the line, but I'm assuming it is y=-x.

Answer:

N=240;I%=5.6=-205000;PMT=;Fv=0;P/Y=12;C/Y=12;PMT:END

Step-by-step explanation:

A P E X

The group of values to be plugged into TVM solver is

N=240 ; I % = 19.2% , P = -205000 , PMT= -$510, Fv =0 , P/Y =12.

We have 20  year loan then the number of periods will be

N = 20 x 12

N= 240

and, the Monthly payment is $510 then

PMT = - 510

and, Interest = 19.2%

and, PV = - 205, 000

Thus, N=240 ; I % = 19.2% , P = -205000 , PMT= -$510, Fv =0 , P/Y =12.

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Answer:

Formula  

1° × π/180 = 0.01745rad

Step-by-step explanation:

Answer:

there are 2 ways.

Step-by-step explanation:

1st way multiply the degree with π÷180

2nd way D/90=2C/π [where D refers to Degree and C refers to Radians ]

The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.

A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.

To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:

Step 1: Identify the vertex of the graph.

From the graph, we can see that the vertex is located at (–3,4).

Step 2: Identify the y-intercept.

From the graph, we can see that the y-intercept is located at (0,–5).

Step 3: Identify the x-intercepts.

From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).

Step 4: Identify the axis of symmetry.

The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.

Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.

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The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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Answer: No he is not correct the answer is 6 3/8

Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the

Answer:

No. Total distance = 6 3/8.

Step-by-step explanation:

\(2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\\)

            \(=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}\)

Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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Answer: 25,000

Step-by-step explanation: 10x10x16x16=25,000

Answer:

See Explanation

Step-by-step explanation:

Please note that I'll replace all � with +

1. |10|

This implies the absolute value of 10 and it always returns the positive value;

Hence;

\(|10| = 10\)

2. |-4|

Using the same law applied in (1)

\(|-4| = 4\)

3.  5/8 - 3/8 = ?

Take LCM

\(= \frac{5 - 3}{8}\)

Subtract the numerator

\(= \frac{2}{8}\)

Divide the numerator and denominator by 2

\(= \frac{1}{4}\)

Hence:

\(\frac{5}{8} - \frac{3}{8} = \frac{1}{4}\)

4. 7/8 - 5/6

Take LCM

\(= \frac{21 - 20}{24}\)

\(= \frac{1}{24}\)

Hence;

\(\frac{7}{8} - \frac{5}{6} = \frac{1}{24}\)

5. 6 * (-7/2)

\(= 6 * \frac{-7}{2}\)

Multiply the numerator

\(= \frac{-42}{2}\)

\(= -21\)

Hence:

\(6 * \frac{-7}{2} = -21\)

5. 6/5 /(-12/25)

\(= \frac{6}{5} / \frac{-12}{25}\)

Change the divide to multiplication

\(= \frac{6}{5} * \frac{-25}{12}\)

Divide 6 and 12 by 6

\(= \frac{1}{5} * \frac{-25}{2}\)

Divide 5 and 25 by 5

\(= \frac{1}{1} * \frac{-5}{2}\)

\(= \frac{-5}{2}\)

Hence;

\(\frac{6}{5} / \frac{-12}{25} = \frac{-5}{2}\)

6.  3 + 4^2  * 2

\(= 3 + 4^2 * 2\)

Solve the exponent

\(= 3 + 16 * 2\)

Apply B.O.D.M.A.S

\(= 3 + 32\)

\(= 35\)

\(3 + 4^2 * 2 = 35\)

7.  2/3 + 5/6

\(= \frac{2}{3} + \frac{5}{6}\)

Apply LCM

\(= \frac{4 + 5}{6}\)

\(= \frac{9}{6}\)

Divide the numerator and denominator by 3

\(= \frac{3}{2}\)

Convert to mixed fraction

\(= 1\frac{1}{2}\)

Hence;

\(\frac{2}{3} + \frac{5}{6} = 1\frac{1}{2}\)

8.  16 - 12/(-4)

\(= 16 - \frac{12}{-4}\)

Solve the fraction

\(= 16 - (-3)\)

Open the bracket

\(= 16 + 3\)

\(= 19\)

Hence;

\(16 - \frac{12}{-4} = 19\)

9.   -9(3w + x + 2)

\(= -9(3w + x + 2)\)

Open brackets: Distributive property

\(= -9*3w -9* x -9 * 2\)

\(= -27w -9 x -18\)

Hence;

\(-9(3w + x + 2) = -27w -9 x -18\)

10.  -2(w + 2) + 5w

\(= -2(w + 2) + 5w\)

Open bracket: using distributive property

\(= -2*w -2 * 2 + 5w\)

\(= -2w -4 + 5w\)

Collect Like Terms

\(= 5w-2w -4\)

\(= 3w -4\)

Hence;

\(-2(w + 2) + 5w = 3w- 4\)

11.   16x^2 + 8 + 10x + 2x^2 + 14x

\(= 16x^2 + 8 + 10x + 2x^2 + 14x\)

Collect Like Terms

\(= 16x^2 + 2x^2 + 10x + 14x+ 8\)

\(= 18x^2 + 24x + 8\)

Expand the expression

\(= 18x^2 + 12x + 12x + 8\)

Factorize:

\(= 6x(3x + 2) + 4(3x +2)\)

\(= (6x + 4)(3x +2)\)

Hence;

\(16x^2 + 8 + 10x + 2x^2 + 14x = (6x + 4)(3x +2)\)

12. b = -5 and y = 6

\(b + 9y =?\)

Substitute -5 for b and 6 for y

\(= -5 + 9 * 6\)

\(= -5 + 54\)

\(= 49\)

Hence;

\(b + 9y = 49\)

13.    y = -3

\(y^2 + 5y + 4 =?\)

Substitute -3 for y

\(= (-3)^2 + 5(-3) + 4\)

Open all brackets

\(= 9 -15 + 4\)

\(= -2\)

Hence;

\(y^2 + 5y + 4 = -2\)

14.  

\((-4)^3\)

Open bracket:

\(= -4 * -4 * -4\)

\(= -64\)

Hence;

\((-4)^3 = -64\)

\((-7)^2\)

Open bracket:

\(= -7 * -7\)

\(= 49\)

Hence;

\((-7)^2 = 49\)

15.  Express as fractions:

\(\frac{3}{5^3}\)

Evaluate the denominator

\(= \frac{3}{125}\)

Hence:

\(\frac{3}{5^3} = \frac{3}{125}\)

\((\frac{-1}{3})^2\)

Evaluate the exponent

\(= (\frac{-1}{3})*(\frac{-1}{3})\)

\(=\frac{1}{9}\)

Hence:

\((\frac{-1}{3})^2=\frac{1}{9}\)

16. Evaluate

\((-7)^0 =\)

Evaluate the exponent

\((-7)^0 = 1\)

\(2 * (1/3)^0\)

Evaluate the exponent

\(= 2 * 1\)

\(= 2\)

Hence;

\(2 * (1/3)^0 = 2\)

17. Evaluate

\(3v^2(-5v^4)\)

Open bracket

\(= 3 * v^2*-5* v^4\)

Reorder

\(= 3 *-5* v^4 * v^2\)

\(= -15* v^4 * v^2\)

Apply law of indices

\(= -15* v^{4 +2}\)

\(= -15* v^6\)

\(= -15v^6\)

Hence:

\(3v^2(-5v^4) = -15v^6\)

18.

\(2y^2w^4*6y*2w^8\)

Rewrite as

\(2 *y^2 * w^4*6 * y*2 * w^8\)

Reorder the terms

\(=2*6 * w^4 * w^8*y^2 * y*2\)

\(=12 * w^4 * w^8*y^2 * y*2\)

Apply law of indices

\(=12 * w^{4+8} *y^{2+2}\)

\(=12 * w^{12} *y^4\)

\(=12 w^{12} y^4\)

Hence:

\(2y^2w^4*6y*2w^8 =12 w^{12} y^4\)

19.

\((\frac{4p^3}{3p^7})^{-2}\)

Apply law of indices

\(= (\frac{4p^{3-7}}{3})^{-2}\)

\(= (\frac{4p^{-4}}{3})^{-2}\)

Apply law of indices

\(= (\frac{4}{3p^4})^{-2}\)

Apply law of indices

\(= (\frac{3p^4}{4})^{2}\)

\(= (\frac{3p^4}{4}) * (\frac{3p^4}{4})\)

Evaluate

\(= \frac{9p^8}{16}\)

Hence;

\((\frac{4p^3}{3p^7})^{-2} = \frac{9p^8}{16}\)

20.

\(\frac{x^{-2}}{x^{-3}}\)

Apply law of indices

\(= x^{-2 - (-3)}\)

\(= x^{-2 +3}\)

\(= x^1\)

\(= x\)

Hence:

\(\frac{x^{-2}}{x^{-3}} =x\)

Answer: So 5 + x = 8 beacase x is 3

Step-by-step explanation:

The base ten numbers to base six for the following is

1. 12 (base 10) =20(base 6)

2.31 (base 10) =51(base 6)

3. 41 (base 10) =105(base 6)

The procedure to find the base ten number to base six

We have to divide the number 12 repeatedly by 6 until the quotient becomes 0.

When 12 is divided by 6 the quotient is 2 and the remainder is 0.

When 2 is divided by 6 the quotient is 0 and the remainder is 2.

Now, Write the remainder from top to bottom.

We get \(12_{10} =20_{6}\)

Similarly we do, 31 and 41

When 31 is divided by 6 the quotient is 5 and the remainder is 1.

When 5 is divided by 6 the quotient is 0 and the remainder is 5.

Now, Write the remainder from top to bottom.

We get \(31_{10} =51_{6}\)

When 41 is divided by 6 the quotient is 6 and the remainder is 5.

When 6 is divided by 6 the quotient is 1 and the remainder is 0.

When 1 is divided by 6 the quotient is 0 and the remainder is 1.

Now, Write the remainder from top to bottom.

We get \(41_{10} =105_{6}\)

Therefore, The base ten numbers to base six for the following is

1. 12 (base 10) =20(base 6)

2.31 (base 10) =51(base 6)

3. 41 (base 10) =105(base 6)

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The solutions to the inequalities are -13 < x < 15 and x > 15 and x < -13

The inequality expressions are given as:

|x – 1| + 1 < 15

|x – 1| + 1 > 15

We start by solving the inequality expression |x – 1| + 1 > 15

So, we have

|x – 1| + 1 < 15

Subtract 1 from both sides

|x – 1|  < 14

Remove the absolute bracket

x – 1  < 14 or x - 1 > -14

This gives

x < 15 and x > -13

Combine the inequalities

-13 < x < 15

We then continue by solving the inequality expression |x – 1| + 1 < 15

So, we have

|x – 1| + 1 > 15

Subtract 1 from both sides

|x – 1|  > 14

Remove the absolute bracket

x – 1  > 14 or x - 1 < -14

This gives

x > 15 and x < -13

Hence, the solutions to the inequalities are -13 < x < 15 and x > 15 and x < -13

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

4x+25

I hope this helped ;)

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.