Rodrigo entrena para una maraton todos los dias sale a correr a una pista de 6 kilimetros de longitud,el lunes da dos vueltas,el martes da una vuelta y un medio,el miercoles da una vuelta y un tercio,el jueves da dos vueltas y dos quintos,el viernes da una vuelta y dos tercios,y el sabado dio dos vueltas y tres cuartos cuantos kilometros recorrio por dia

The distance between Point and plane is 2.654 .

Given,

Point :(0, 0, 0)

Equation of plane :  3x + 6y + z = 18

Now,

Distance between point and a plane is given by ,

D = |\(ax_{0} + by_{0} + cz_{0} + d\)| / √a² + b² + c²

Here,

Point :(0, 0, 0)

Equation of plane :  3x + 6y + z = 18

D = |3*0 + 6*0 + 0 -18| / √3² + 6² + 1²

D = 18 / √46

D = 2.654

Thus the distance between point and plane is 2.654 .

Know more about distance formula,

https://brainly.com/question/25841655

#SPJ4

Recall that to compute the equation of a line we have to have two points on the line, once we have two points we can use the following formula for the equation (unless it is a vertical line):

where (x₁,y₁) and (x₂,y₂) are two points on the line.

Now, notice that points (0,-1) and (3,2) are on line n, therefore its equation is:

Simplifying the above equation we get:

Two points on line m are: (0,4) and (1,2), therefore, its equation is:

Simplifying the above equation we get:

Since line l is horizontal all its points will have the same y entry y=5, therefore, its equation is:

Now, finally, when we have a vertical line its equation will be of the form x=k, where k is the x-entry of the points on the line. Notice that line p is a vertical line, and one point on the line is (-4,0), therefore its equation is:

Answer:

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The nurse researcher will be able to determine if there are significant differences in the mean amount of daily exercise between the groups and whether the intervention has had an impact on increasing exercise levels.

The statistical test that the nurse researcher should use in this scenario is Analysis of Variance (ANOVA). ANOVA is specifically designed to compare means and variances between multiple groups. It allows researchers to determine whether there are significant differences in the means of three or more groups based on the variability within and between the groups.

In this case, the nurse researcher wants to compare the mean group differences by examining the variability between groups and within groups. ANOVA assesses the between-group variability by comparing it to the within-group variability, providing insights into whether the intervention has a significant effect on increasing daily exercise in the three groups of adolescents.

By conducting ANOVA, the nurse researcher will be able to determine if there are significant differences in the mean amount of daily exercise between the groups and whether the intervention has had an impact on increasing exercise levels.

Learn more about statistical test  here:

https://brainly.com/question/28957899

#SPJ11

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

To know more about Newton Raphson Method visit:

https://brainly.in/question/17763377

#SPJ11

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

To know more about MATLAB, visit:

https://brainly.com/question/30763780

#SPJ11

If decimal scaling normalization is applied to the given data set, the normalized value of the first reading, 9, would be 0.09.

To normalize the first reading, 9, we divide it by 100. Therefore, the normalized value of 9 would be 0.09.By applying the same normalization process to each value in the data set, we would obtain the normalized values for all readings. The purpose of normalization is to scale the data so that they fall within a specific range, often between 0 and 1, making it easier to compare and analyze different variables or data sets.

Learn more about normalization here:

https://brainly.com/question/15603885

#SPJ11

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

The question number 33 have the measure of the unknown angle m∠CAF = 32°.

We are given the angle m∠EBG = 19°, and it is observed that m∠EBG and m∠EAF are the same, so;

m∠EBG = m∠EAF = 19°

Since m∠CAE = 51°, then unknown angle;

m∠CAF = m∠CAE - m∠EAF

m∠CAF = 51° - 19°

m∠CAF = 32°

Therefore, the unknown angle m∠CAF is equal to 32°.

Find out more about angle here: https://brainly.com/question/28293784

#SPJ1

Answer:

C, 100 degrees

Step-by-step explanation:

180-80=100

Answer:

Step-by-step explanation:

To solve this problem, we need to use exponential growth formula, which is:

P = P0 * e^(rt)

where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the time in years.

We can use the given data to find the annual growth rate r:

r = ln(P/P0) / t

where ln is the natural logarithm.

Using the population data from 1900 and 2000, we get:

r = ln(8.86/5.14) / 100 ≈ 0.0198

So the annual growth rate is approximately 0.0198, or 1.98%.

Now, we need to find the initial population P0 when King Karl XII died in 1718. Let's call this population X.

We know that the population has been growing exponentially since then, so we can use the formula above to relate the population in 1718 to the population in 1900:

X * e^(0.0198 * 182) = 5.14 million

where 182 is the number of years between 1718 and 1900.

Solving for X, we get:

X = 5.14 million / e^(0.0198 * 182) ≈ 0.14 million

Therefore, the population of Sweden when King Karl XII died in 1718 was approximately 0.14 million people.

Answer:

all you have to do is use a calulater i dont remember how to do that sorry

Step-by-step explanation:

Answer:

868.5 cm²

Step-by-step explanation:

convert 450 mm to cm.

45

calculate

45 × 38.6

1737

then divide by 2 because this is a triangle.

1737 ÷ 2

868.5

The area of this figure is 868.5cm²

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

as you should know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

\(\stackrel{f(x)}{y}=\sqrt{x}-5\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt{y}-5}\implies x+5=\sqrt{y} \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^{-1}(x)}{y}\)

True. The causal theory of perception is the view that our experiences, such as our sensations and ideas, are caused by physical objects acting on our sense organs.

According to this causal theory of perception, when an object in the external world acts on our sense organs, it causes certain neural processes to occur, which in turn give rise to our conscious experiences. The causal theory of perception holds that there is a causal relationship between physical objects in the external world and our conscious experiences. When an object interacts with our sense organs, it causes certain neural processes to occur in our brain, which ultimately give rise to our conscious experiences of the object. So, the physical object is the cause, and our conscious experience is the effect.

Learn more about causal theory of perception here:

https://brainly.com/question/11606960

#SPJ11

Answer:

To find c° go with Triangle Sum Theorem .

To find d° go with Supplementary Angle with 58°.

To find a° go with Transverse Angles.

To find b° go with Transverse Angles .

Step-by-step explanation:

c° = 180- 58 - 48 = 74°

b° = 48°

d° = 180 - 58 = 122°

a° = 58°

An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.

The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.

This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.

To know more about geometry visit-

brainly.com/question/30283669

#SPJ11

Therefore, the wavelength of the photon is 13.55 micrometers.

To calculate the wavelength of a photon with a momentum of 4.9×10−29 kg⋅m/s, we can use the formula λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum. Substituting the given values, we get:
λ = h/p = (6.626×10−34 J⋅s) / (4.9×10−29 kg⋅m/s)
Simplifying this expression, we get:
λ = 1.355×10−5 m
To convert this to micrometers, we need to multiply by 10^6, so:
λ = 13.55 micrometers
Involves the use of variables (momentum, wavelength, and Planck's constant) and micrometers as a unit of measurement.

To know more about Variables visit:

https://brainly.com/question/29583350

#SPJ11

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

learn more about divergence theorem here:

https://brainly.com/question/10773892

#SPJ11

The formula for the area of a circular petri dish can be represented as A = πr², where "A" represents the area and "r" represents the radius.

To find the approximate increase in the area when the radius increases from r₁ mm to r₂ mm, we can calculate the difference between the areas by subtracting the initial area (A₁ = πr₁²) from the final area (A₂ = πr₂²). This can be expressed as ΔA = A₂ - A₁ = πr₂² - πr₁².

In the second paragraph, let's explain the formula and how to calculate the approximate increase in the area of the bacterial colony on the petri dish. The area of a circular shape is given by the formula A = πr², where "A" represents the area and "r" represents the radius. By substituting the initial radius, r₁, into the formula, we can find the initial area, A₁ = πr₁².

Similarly, by substituting the final radius, r₂, into the formula, we can find the final area, A₂ = πr₂². To calculate the approximate increase in area, we subtract the initial area from the final area: ΔA = A₂ - A₁ = πr₂² - πr₁². This formula allows us to find the difference in the areas of the bacterial colony on the petri dish when the radius increases from r₁ to r₂.

Learn more about Area:

brainly.com/question/1631786

#SPJ11

well, profit equations are usually a parabolic path like a camel's hump, profit goes up up and reaches a maximum then back down, the issue is to settle at the maximum point, thus the maximum profit.

So for this equation, like any quadratic with a negative leading coefficient, the maximum will occur at its vertex, with x-price at y-profit.

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-5}x^2\stackrel{\stackrel{b}{\downarrow }}{+209}x\stackrel{\stackrel{c}{\downarrow }}{-1090} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 209}{2(-5)}~~~~ ,~~~~ -1090-\cfrac{ (209)^2}{4(-5)}\right) \implies\left( - \cfrac{ 209 }{ -10 }~~,~~-1090 - \cfrac{ 43681 }{ -20 } \right)\)

\(\left( \cfrac{ 209 }{ 10 }~~,~~-1090 + \cfrac{ 43681 }{ 20 } \right)\implies \left( \cfrac{ 209 }{ 10 }~~,~~-1090 + 2184.05 \right) \\\\\\ ~\hfill~\stackrel{ \$price\qquad profit }{(~20.90~~,~~ 1094.05~)}~\hfill~\)

The correct decimal number for 17/22 will be equal to 0.7(727)bar.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Decimal refers to the base-10 number system, which is perhaps the most widely used number system. The term "decimal number" refers to a number that has a decimal point followed by digits with values less than one.

Here,

17/22=0.772727.....

For 17/22, the proper decimal number is 0.7(727)bar.

To know more about decimal number,

https://brainly.com/question/25903211

#SPJ1

Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

(a) the revenue function is R(x) = 12x/(0.03x² + 1),

(b) the marginal revenue function is R'(x) = (0.36x + 12)/(0.03x² + 1)²

(c) the revenue when x = 6 is approximately 43.64 dollars.

(a) The revenue function, R(x), can be found by multiplying the unit price by the quantity demanded. In this case, the unit price is given by the equation 12/(0.03x² + 1), and the quantity demanded is x.

So, the revenue function is:

R(x) = x * (12/(0.03x² + 1))

Simplifying, we have:

R(x) = 12x/(0.03x² + 1)

(b) To find the marginal revenue function, R'(x), we need to differentiate the revenue function with respect to x.

Using the quotient rule, we have:

R'(x) = [12(0.03x² + 1) - 12x(0.06x)] / (0.03x² + 1)²

Simplifying further:

R'(x) = (0.36x + 12) / (0.03x² + 1)²

(c) To compute R(6), we substitute x = 6 into the revenue function:

R(6) = 12 * (6/(0.03(6)² + 1))

    = 12 * (6/(0.648 + 1))

    = 12 * (6/1.648)

    ≈ 43.64 dollars

Learn more about revenue function here

https://brainly.com/question/29148322

#SPJ4

Answer:

By the given information about the sets A and B, we have :

A={1,2,3,4,6,9,12,18,36}

B={3,6,9,12,15,18,21,24,27,30,36,…}

since A is the set of factors of 36 and B is the set of multiples of 3.

SOLUTION - 1:-

Now, recall the definition of intersection of two sets. Intersection of two sets say set A and B, denoted by A∩B is the set of all those elements which belong to both the sets A as well as B.

Therefore, A∩B={3,6,9,12,18,36}.

SOLUTION - 2 :-

Now, we have to find A \ B.

A \ B is the set of all those elements which belongs to A but don't belong to the set B.

So, clearly A \ B = {1,2,4}

Step-by-step explanation:

Up there

Answer:

Part a)  3x + x + 48 = 180

Part b) m<1 = 99

          m<2 = 81

Step-by-step explanation:

For part a) it is very important to note that all angles on a straight line equals to 180 degrees, so, we can make angle measure 1 and 2 equal to 180 degrees using the values given:

3x + x + 48 = 180

For part b, we have to solve the equation we made in part a to solve for x:

3x + x + 48 = 180

4x + 48 = 180

4x = 132

x = 33

Now we find the angle measure by putting the x value into each of the expressions given:

m<1 = 3x

m<1 = 3(33)

m<1 = 99

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

m<2 = (x + 48)

m<2 = (33 + 48)

m<2 = 81

The correct value of the product of a and b is 224

Taking the prime factorization of 161 reveals that it is equal to 23*7. Therefore, the only ways to represent 161 as a product of two positive integers are 161*1 and 23*7. Because neither 161 nor 1 is a two-digit number, the only two-digit factor of 161 is 23, we know that a and b are 23 and 7. Because 23 is a two-digit number, we know that a, with its two digits reversed, gives 23.

Therefore, a = 32 and b = 7. Multiplying our two correct values of a and b yields.

The correct product must have been

a*b =32*7

=224

Learn more about multiplying positive integers  here: https://brainly.com/question/11453536

#SPJ4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of a is

2(S - \(v_{0} ~-~s_{0}\)) / t².

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 is an equation.

2x + 4 = 5 is an equation.

We have,

S = (1/2)at² + \(v_{0}\)t + \(s_{0}\)

We will solve for a = acceleration.

Subtract \(v_{0}t ~and~s_{0}\) on both sides.

S - \(v_{0} ~-~s_{0}\) = (1/2)at²

Multiply 2 on both sides.

2 (S - \(v_{0} ~-~s_{0}\)) = at²

Divide both sides by t².

2(S - \(v_{0} ~-~s_{0}\)) / t² = a

a = 2(S - \(v_{0} ~-~s_{0}\)) / t²

a = 2 (S - \(v_{0} ~-~s_{0}\)) / t²

Thus,

The value of a is

2(S - \(v_{0} ~-~s_{0}\)) / t².

Learn more about equations here:

https://brainly.com/question/17194269

The complete question is:

In physics, if a moving object has a starting position at so, an initial velocity of vo, and a constant acceleration a, the

the position S at any time t>O is given by:

S = (1/2)at² + \(v_{0}\)t + \(s_{0}\)

Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use^to show the exponent

and type your answer in the answer box, or you may choose to write your answer on paper and upload it.

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Domain are the x values where the line starts and stops.

A bracket is used for a solid circle and a parentheses is used for open circles

The answer would be the second choice: (1,2)