3r-(r+0.47)=3.13 solve for r

If you graph a linear characteristic you may get a immediately line. There also are nonlinear functions. If you graph the coordinates of a nonlinear characteristic you may now no longer get a immediately line.

One of the very best ways (however now no longer the handiest way) to differentiate among a linear and a nonlinear characteristic is to have a take a observe the graph of the characteristic.

A linear equation is an equation with  variables whose graph is a line. The graph of the linear equation is a hard and fast of factors withinside the coordinate aircraft that every one are answers to the equation. If all variables constitute actual numbers you can graph the equation via way of means of plotting sufficient factors to understand a sample after which join the factors to encompass all factors.

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The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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Answer: 3 cm to 15 km

Step-by-step explanation: 1 ÷ 5 = 0.2

3 ÷ 15 = 0.2

Answer:

(B) 0.708

Step-by-step explanation:

The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.

With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:

From the relation;

n = sample size = 8

∑xy = 3347

∑x = 44

∑y = 569

∑x² = 320

∑y² = 41681

Substitute these values into the relation as follows;

\(r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }\)

\(r = \frac{217.50}{307.32}\\\)

r = 0.7077

r = 0.708 to 3 decimal places

Therefore, the value of the linear correlation coefficient is 0.708

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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Answer:

88%

Step-by-step explanation:

No Johnny boy did not

Answer:

Excuse me?

Step-by-step explanation:

Put your question DB and I'll gladly answer!

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

x = -6

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Sin angle PAQ ≈ 0.6.

The sine ratio in trigonometry is the ratio of the hypotenuse's length to the length of the side that faces an angle in a right triangle. Theta is the angle opposed to the side whose length is the "opposite" side, hence sin(theta) = opposite/hypotenuse. The symbol for it is sin(theta) or just sin(theta). One of the six trigonometric ratios, the sine ratio is frequently employed to resolve issues concerning right triangles and angles.

A square is a regular quadrilateral in which all four sides are of equal length and all four angles are right angles (90 degrees). It can be thought of as a special type of rectangle where the length and width are equal. The area of a square is calculated by multiplying the length of one side by itself, or by squaring the length of one side. The perimeter of a square is calculated by adding the length of all four sides together. Squares have many practical applications, including in construction, geometry, and design.

According to the question

The Pythagorean theorem can be used to determine the length of side AB first:

(BC - PC) = AB2 + BP22 AB 2 equals 4 + (8 - 4) 2 AB 2 equals 16 + 16 AB = 4

In a similar manner, we may determine side AD's length:

BQ² + (CD - QC) + AD² AD² = 4² + (8 - 4)² AD² = 16 + 16

AD = 4√2

The Pythagorean theorem can now be used to determine the diagonal AC's length:

AC2 equals AB2 + BC2 AC2 equals (42) + 82 AC2 equals 32 + 64 AC2 equals 4/6

The Pythagorean theorem can also be used to determine the length of the diagonal BD:

BD2 equals AD2 plus BC2 BD2 equals (42) + 82 BD2 equals 32 + 64

BD = 4√6

We know that APQC is a kite with diagonals AC and BD since a square's diagonals are perpendicular to one another and cut each other in half. As a result, we may calculate that PQ is half as long as diagonal AC:

PQ = AC/2 = (4√6)/2 = 2√6

We may determine the cosine of angle PAQ using the law of cosines:

cos(PAQ) equals (2 * AP * AQ)/(AP * AQ)

Since these numbers can be substituted in because AP = AQ = AB = 42:

cos(PAQ) is equal to (2(32) - (2(6))/2 * 32.

cos(PAQ) equals (64-24)/(64).

sin(PAQ) = 5/8

In order to determine the sine of angle PAQ, we can utilise the Pythagorean identity:

(1 - cos(PAQ)) = sin(PAQ)

(1 - (5/8)) = sin(PAQ)

sin(PAQ) is 0.6.

Sin angle PAQ thus equals 0.6.

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The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,

\(d = \dfrac{1}{2}at^2\)

Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,

\(a=2\rm\; ft/s^2\\d=12\rm\; feet\)

Put the values in the above equation,

\(d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s\)

Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

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The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.

The commission will be:

= Percentage × Amount

= 4% × 175000

= 7000

Therefore, the total amount that the person gets will be:

= Salary + Commission

= 42000 + 7000

= $51000

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The Algebraic expression -3 * 15 simplifies to -45.

The product of -3 and 15 can be represented algebraically as (-3) * 15.

To simplify this expression, we can perform the multiplication operation:

(-3) * 15 = -45

Therefore, the product of -3 and 15 simplifies to -45.

In the given expression, we have multiplied -3 by 15, resulting in a negative value since one of the factors is negative. Multiplying a negative number by a positive number yields a negative product.

So, the algebraic expression -3 * 15 simplifies to -45.

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Answer: 17

Step-by-step explanation:

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = \(r_{0}\) + t.v

where

\(r_{0}\) is the position vector;

v is the vector;

For point (7,4,5):

\(r_{0}\) = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = \(x_{0}\) + at

y = \(y_{0}\) + bt

z = \(z_{0}\) + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

Answer:

The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

In simpler terms, for the edge answer;

A. The same number of tickets was sold on the fourth day and tenth day.

- _ -   long answers scare me...

Step-by-step explanation:

edg- answers ;p

An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

S = 10 - 2t

Therefore,  an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

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The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

Answer: 0.3688

Step-by-step explanation:

If you are rounding to the nearest 4 decimal places the correct answer is 0.3688

Answer:

In 2022, the town's population is 2220.

Step-by-step explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)

Then, subtract that percent of the population in 2000 from the population in 2000.

\(7500-(70.4 \,\% \cdot 7500)\)

\(= 7500 - 5280\)

\(=2220\)

we have the series

Part a

Write the first four terms of the series.

First-term

For n=1

substitute

Second term

For n=2

Third term

For n=3

Fourth term

For n=4

therefore

the first four terms of the series are

Part B

Does the series diverge or converge?

Remember that

if −1In this problem

the common ratio r is equal to 1/3

so

r< 1

that means

Part C

If the series has a sum, find the sum

In this problem

the series converges, and it has a sum.

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

ANSWER

T' = (-9, -3)

U' = (-1, 0)

V' = (-9, 3)

W' = (-10, 0)

EXPLANATION

When you go vertically units tup the xycoordinate of each of the vertices is increased by 6.

That is:

T = (-9, -9) to T' = (-9, -9+6) = T' = (-9, -3)

U = (-1, -6) to U' = (-1, -6+6) = U' = (-1, 0)

V = (-9, -3) to V' = (-9, -3+6) = V' = (-9, 3)

W = (-10, -6) to W' = (-10, -6+6) = W' = (-10, 0).

Hence, the coordinates of the vertices after a translation 6 units up are:

T' = (-9, -3)

U' = (-1, 0)

V' = (-9, 3)

W' = (-10, 0)

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Answer:

The answer is C

Step-by-step explanation:

This is the answer because you substitute x-3 for y in the second equation. So yes, C is the answer.

Answer:

If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

Step-by-step explanation:

Congruent/Congruency: having the same size and shape congruent triangles.

Theorem 1: If a line is drawn parallel to one side of a triangle to intersect the midpoints of the other two sides, then the two sides are divided in the same ratio.

I hope this helped, have a great day <3