A maker of homemade candles makes a scatter plot to show data of the diameter of a candle and the total burn time of the candle. A line of best fit of this data is T = 6. 5d + 11. 8, where T is the total burn time, in hours, and d is the diameter of the candle, in inches. Approximately how long is the total burn time of a candle with a diameter of 0. 5 inch?


answers: A. 2 hours B. 5 hours


C. 10 hours D. 15 hours

In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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Answer:

If the whole box is the sports store then its just 80m if its just the equipment section then its 56m

Step-by-step explanation:

8x10=80

80-(6x4)=56  80-24=56

Answer:

There should be 33 girls in the class.

Step-by-step explanation:

Take the total amount of students, 132, and multiply it by one-fourth, since three-fourths of the students are boys.

The total inductance of two inductors connected in parallel with inductance values of 2 H and 8 H (with no mutual inductance) is 1.6 H.

When two inductors are connected in parallel, the total inductance can be calculated using the formula for the equivalent inductance of a parallel combination, which states that the reciprocal of the total inductance is equal to the sum of the reciprocals of the individual inductances. In this case, we have two inductors with inductance values of 2 H and 8 H.

Using the formula, we can calculate the total inductance as follows:

1/L_total = 1/L1 + 1/L2

1/L_total = 1/2 + 1/8

1/L_total = 4/8 + 1/8

1/L_total = 5/8

L_total = 8/5

L_total = 1.6 H

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The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

Based on the information given, we can represent the pure-breeding colors and shapes as follows:

Red color (RR) is dominant over white color (rr)

Long shape (LL) is dominant over round shape (ll)

We can also represent the hybrids as:

Purple color (Rr) is a result of a cross between red and white pure-breeding colors

Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes

Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:

RL Rl rL rl

RL RRLl RRll rRLL rRlL

Rl RRLl RRll rRLL rRlL

rL RrLL RrLl rrLL rrLl

rl RrLl Rrll rrLl rrll

From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:

Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance

Red oval (RRll, Rrll): 2/9 or about 22.2% chance

Purple long (rRLL, rRlL): 2/9 or about 22.2% chance

Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance

Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

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Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0

Answer:

Step-by-step explanation:

1. Distribute the 10: 30p + 40

If you are solving for p, then subtract 40: 30p = -40

Then divide 30: p = -40/30, simplified to p = -4/3

Answer:

  30p -40

Step-by-step explanation:

You want to simplify the expression -10(-3p +4).

The distributive property tells you the product is ...

  -10(-3p +4)

  = (-10)(-3p) + (-10)(4)

  = 30p +(-40)

  = 30p -40

__

Additional comment

It is easy to get confused by minus signs. For any given numerical product the sign of the result will be negative if (and only if) the number of negative factors is odd.

Here, the first product is (-10)(-3p), which has an even number of minus signs. The result will be the same as with no minus signs:

  (-10)(-3p) = (10)(3p) = 30p

On the other hand, the product (-10)(4) has an odd number of minus signs. That result will be negative:

  (-10)(4) = -40

For this problem, you could start by distributing the minus sign, changing the sign of each term inside the parentheses:

  -10(-3p +4) = 10(3p -4)

Doing this can simplify the mental load of figuring the signs of the product terms.

Answer:

108.73608

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

Answer:

...........................I would be I don't know

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer: C (3, -19)

Step-by-step explanation: hope it helps:)

The solution is, : The probability that a girl will win free popcorn is 4/21.

Here, we have,

⇒This question is on probability

⇒Number of boys=3

⇒Number of girls=4

⇒P(S)= 4+3=7

Probability for a girl to win is= 4/7

We have 3 awards a free movie ticket, a collectible poster, or a free popcorn

P(S)= 3

Probability of being awarded a free popcorn = 1/3

The probability that a girl will win free popcorn =4/21

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complete question:

Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

x = 1

Step-by-step explanation:

the axis of symmetry is a vertical line passing through the vertex or turning point of the parabola with equation

x = c ( c is the x- coordinate of the vertex )

the vertex is at (1, 0 ) with x- coordinate 1 , then

equation of axis of symmetry is x = 1

Answer:

8x2y is a monomial.

Step-by-step explanation:

Distance 1 = 1662 km

Time T= 3 hours

Distance 2= 2142 km

Time T=3 hours

Also

V1 = Plane velocity

V2= Air velocity

Then

Distance1/T = V1 - V2

and

Distance2/T= V1 + V2

1662/3= 554 = V1 - V2

2142/3= 706= V1 + V2

Now solve this 2x2 system, by substitution

then

V1= (554+ 706)/2= 1260/2= 630

V2= 706 - 630= 76

Then answer is

Velocity of plane= 630 km/h

Velocity of air= 76 km/h

Answer:
The three integers are:-17,-15,-13

Answer:

13, 15, 17 (the set)

Step-by-step explanation:

To find the middle number, you just divide 45 by 3 since you have three consecutive digits.

45/3 = 15 = the middle number

13, 15, 17 (+2, and -2 from 15 since has to be odd)

Checking work:

13+15+17 = 45

Answer: One crate of peaches is $5

Step-by-step explanation:

All you do for this question is divide 125 by 25 gives us 5

Answer:

5

Step-by-step explanation:

Just decide 125 by 25 and get the answer :)

Half of 30ml is 30ml divided by 2, this is:

Half of 30ml is 15ml.

Answer:

B= 36

Step-by-step explanation

I reported the other answers and they got deleted this is the right answer

intergers are whole numbers

integers of 35 are 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 and 40.

Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

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Answer:

1x

Step-by-step explanation:

4x x 6x

Answer:

4x

Step-by-step explanation:

It would be 4x because you have no value given of the variable "X"

therefore, your answer would just be adding the x to the 4 making it 4x

hope this helped!

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  \(^{n}P_{r}\) = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ (\(^{15}P_{1}\)) x (\(^{12}P_{1}\)) x (\(^{7}P_{1}\))

⇒  (\(^{15}P_{1}\))   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

(\(^{12}P_{1}\)) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

\(^{7}P_{1}\) = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

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Performing a mathematical calculation using an operator is called a mathematical operation, which includes basic operations such as addition, subtraction, multiplication, and division.

The table displays information about the old account balance, transaction amount, and new account balance. By solving the table, the missing number can be determined.

Account   Old Acc Balance ($)    Trans Amount ($)     New Acc Balance($)

1                       352                                       -48                      304

2                      432                                      +80                      512

3                       75                                       -100                     -25

4                       40                                        52                       12

5                      -10                                        -20                     -30

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Given f(x) = 4x³ + 8x² - 3x + 27, find f(-3)...?

• putting the value of x in the polynomial (f) ...

→ f(-3) = 4(-3)³ + 8(-3)² – 3(-3) + 27

= 4 x (-27) + 8 x 9 + 9 + 27

= -108 + 72 + 9 + 27

= 0

Hence, we get the answer zero by putting the value of "x" in polynomial "f" that means [ f=(-3) ] is the zero of the polynomial...

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The volume of the cylinder given the radius and the height is 562.2 cubic units

Volume of a cylinder = πr²h

= 3.14 × 2² × 5

= 3.14 × 4 × 5

= 562.2 cubic units

Therefore, the volume of the cylinder is 562.2 cubic units.

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Answer:62.8

Step-by-step explanation:

just took the test