Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long will it take calvin to paint the entire paint the entire area.

Answer:

1.8 cm to the nearest tenth.

Step-by-step explanation:

The angle opposite side a = 180 - 105 - 15 = 60 degrees.

By the Sine Rule:

a / sin 60 = 2 / sin 105

a = 2 * sin60/ sin 105

= 1.79315

To find the convolution \( y(t) = x(t) * h(t) \), we reverse and shift the impulse response, multiply it with the input signal, and integrate the product over the range of integration.

To find \( y(t) = x(t) * h(t) \), we need to perform a convolution integral between the input signal \( x(t) \) and the impulse response \( h(t) \).

The convolution integral is given by the equation:

\[ y(t) = \int_{-\infty}^{\infty} x(\tau) h(t-\tau) d\tau \]

Here are the steps to find the convolution \( y(t) \):

1. Reverse the time axis of the impulse response \( h(t) \) to obtain \( h(-t) \).

2. Shift \( h(-t) \) by \( t \) units to the right to obtain \( h(t-\tau) \).

3. Multiply \( x(\tau) \) with \( h(t-\tau) \).

4. Integrate the product over the entire range of \( \tau \) by taking the integral \( \int_{-\infty}^{\infty} \) of the product \( x(\tau) \cdot h(t-\tau) \) with respect to \( \tau \).

5. The result of the convolution integral is \( y(t) \).

The convolution integral represents the output of the system when the input signal \( x(t) \) is passed through the system with impulse response \( h(t) \).

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The phrase describes a transformation of the graph of function to create the graph of function h is vertically stretched.

The answer is option D. vertically compressed.

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Answer:

\(- \frac{45}{4}\)

Step-by-step explanation:

Step one:

given the information

\(-12 \frac{3}{4}\) ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

\(=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4\)

The third option is correct

Answer:

A. C=100+2.5n

Step-by-step explanation:

if u sub in the number of shirts into the equation for example 20

100+2.5(20)

100+50

=150 which is the amount of money it creates

Answer:

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

John types at a rate of 16 words per minute.

With the stable rate, in 4 minutes he types:

The marginal cost to estimate the cost of producing one more widget each day, if current production is 1000 widgets/day is 4004 dollars.

Given function for the cost of producing widgets is 2w² + 4w + 1000 dollars, where w is the number of widgets produced per day.

The marginal cost to estimate the cost of producing one more widget each day, if the current production is 1000 widgets/day is given by the formula:Marginal cost = C'(x)

Here, the derivative of the function gives the marginal cost.

C(x) = 2w² + 4w + 1000C'(x)

       = d/dw [2w² + 4w + 1000]C'(x)

        = 4w + 4

Now, we can calculate the marginal cost by substituting the value of w as 1000 in the derivative function.

C'(1000) = 4(1000) + 4C'(1000)

              = 4004

The marginal cost is 4004 dollars.

Therefore, the marginal cost to estimate the cost of producing one more widget each day, if current production is 1000 widgets/day is 4004 dollars.

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Answer:

Step-by-step explanation:

Based on the compiled and analyzed surveys, the reported mean value is 5.1 ± 0.4. This means that the estimated average value is 5.1, with a margin of error or uncertainty of ±0.4.

When a mean value is reported as 5.1 ± 0.4, it indicates that the estimated average value from the surveys is 5.1. The ±0.4 represents the margin of error or uncertainty associated with the mean estimate. It suggests that the true population mean lies within the range of 5.1 minus 0.4 (4.7) to 5.1 plus 0.4 (5.5) with a certain level of confidence.

The margin of error is typically expressed as a standard deviation or a confidence interval. In this case, the margin of error is ±0.4, which indicates that the standard deviation of the sample means is 0.4. The standard deviation represents the average amount by which individual survey responses deviate from the mean.

The reported mean value of 5.1 ± 0.4 provides information about the central tendency of the surveyed data while also accounting for the uncertainty associated with the estimate. It is important to consider the margin of error when interpreting the reported mean value, as it provides a measure of the reliability and precision of the estimate.

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Answer:

( -8, -4)

Step-by-step explanation:

Think of the graph as 4 different sections,

top left is 1

top right is 2

bottom right is 3

bottom left is 4

The red dot is (4, -8) and the blue dot is ( -8, -4 )

If you move from the right side of the grid to the left you would switch (x ,y ) to (y , x).

depending on what part of the graph it is in, it will be negative or positive.

hope this helps!

In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).

To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.

On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.

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Answer:

180°

Step-by-step explanation:

We Know

Each square represents 90°

We see the △STU rotate counterclockwise about the origin through 2 squares. So, the  △STU rotated 180° counterclockwise to produce △S'T'U.

We can check by using the rule rotate about the origin 180° state that:

(x , y) → (-x , -y)

Pick point U (-2,1)

(-2,1) → (2, -1)

This meet the rule, so rotate 180° is the correct answer.

To improve Marc's answer to get a 5/5 is for him to mention that a parallelogram requires both pairs of opposite sides to be parallel and equal in length.

Marc's claim that the slopes of AB and CD and BC and DA coincide is only partially accurate.

It appears like the opposing sides are parallel as a result. The lengths of AB and CD are both 20, and those of BC and DA are both 4. Marc also correctly says that the lengths of these elements are 4 and 4.

These parallel side lengths also suggest a potential parallelogram. Marc should clarify, however, that a parallelogram necessitates that both pairs of opposite sides be parallel and equal in length.

Marc will give a more thorough and correct explanation by incorporating this extra information, receiving a perfect score of 5/5.

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Answer:

3.5

Step-by-step explanation:

Answer:

1. 34

2. No solution

3. -56

4. 341

5. -5

6. 0

Step-by-step explanation:

I don’t know if all of them are right but I hope I helped

Answer:

a. Definition of segment Bisector

b. Line segment KM

c. Given

d. Definition of segment bisector

e. Reflexive property of congruence

f. SAS

g. CPCTC (Corresponding parts of congruent triangles are congruent)

The maximum value of the objective function Z = 40x₁ + 5x₂, subject to the constraints x₁ + x₂ ≤ 5 and 6x₁ + x₂ ≤ 20, where x₁, x₂ are integers between 0 and 25, can be found using the branch and bound method.

To solve this problem, we start with an initial solution by considering the constraints and finding the feasible region. Then, we compute the objective function for this initial solution. Next, we branch the problem into subproblems by considering different combinations of x₁ and x₂. We calculate the lower bounds for each subproblem to determine the potential for improvement. We continue branching and bounding until we find the optimal solution with the maximum value of Z.

The branch and bound method systematically explores the solution space, optimizing the objective function by considering different feasible regions. It provides a structured approach to find the optimal solution for linear programming problems.

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Hence we get slope and intercept in  both cases is

Slope = 1            &                Slope = 4 ,4

Intercept= 6        &              Intercept = 2 , 8

An intercept is a location on the y-axis where the line's slope passes. It is the y-coordinate of the location where a line or curve crosses the y-axis. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.

Hence to find the slope and intercept of the line we have to compare with the original equation.

Given,

Two equations,

                         g(x) = (4x) + 2

                          g(x)=4(x+2)

Given,

                     f(x) = x + 2

 After adding k =4

                      f(x) = x + 2 + 4

                        f(x) = x + 6

After comparing with g(x) equation we get,

Slope = 1            &                Slope = 4

Intercept= 6        &              Intercept = 2

Comparing with second equation we get,

Slope = 1          &                Slope = 4

Intercept= 6    &              Intercept = 8

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Answer:

with what do you need help with your life

Step-by-step explanation:

Answer:

I think the height is 22.

Answer:

58°

Step-by-step explanation:

A + B + C = 180 °

The smallest value of C is 91.

A + B = 89

A = 2B - 4

2B - 4 + B = 89

3B - 4 = 89

3B = 93

B = 31

A + 31 = 89

A = 58

Answer:

  y = 3x -4

Step-by-step explanation:

The two pairs of x and y values are used to find the slope of the line. That and one of the pairs is used to find the y-intercept. These values are put into the slope-intercept equation to give the equation of the line through the two points.

__

Each (x, y) pair represents a point on a graph. The slope-intercept equation for a line relates all the (x, y) pairs that lie on the line. That equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

The slope is the "steepness" of the line. It is positive when the line goes up to the right, and negative when the line goes down to the right. It is 0 for a horizontal line.

The slope is found from (x, y) pairs using the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) refer to different pairs

  m = (8 -(-1))/(4 -1) = 9/3 = 3 . . . . using the (x, y) values from the table

The y-intercept (b) is the y-value where the line crosses the y-axis. It can be found by rearranging the slope-intercept equation shown above:

  b = y - mx . . . . . . . for a line with slope m and a point (x, y) on the line

Using the first point listed in the table with the value of m we just found, we see that b is ...

  b = -1 - 3(1) = -4 . . . . . . for (x, y) = (1, -1) and m = 3

Now that we have found m=3 and b=-4 for the points in the table, we can put these values in the slope-intercept equation:

  y = mx +b

  y = 3x -4 . . . . . equation of the relationship in the table

Answer:

x = 4

Step-by-step explanation:

\(\sqrt{(x -4)(x - 4)\\}\)

x - 4 = 0

x = 4

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

768

3/10 times 2560 simply equals 768 after the calculations are done

The value of x for the given quadratic expression is x = 5 ± √11.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x-5)²=33. The value of x will be calculated as,

3(x-5)²=33

(x - 5 )² = 11

(x - 5 )  = ±√11

x = 5 ± √11

Therefore, the value of x for the given quadratic expression is x = 5 ± √11.

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The amplitude of damped oscillatory motion can be expressed as an exponential function.

Non-conservative forces cause damping harmonic oscillators to lose energy. Critical damping quickly restores system equilibrium without overshooting. The equilibrium position will be oscillated through in a system that is underdamped. In comparison to a system that is severely dampened, an overdamped system takes longer to reach equilibrium.

Because we already know that this function is exponential, that sort of function that characterizes the amplitude of damped oscillatory motion is exponential.

y=\(Ae^{\frac{-ct}{2m}cos(w_dt+\phi )\)

y=\(Ae^{\frac{-ct}{2m}\)

gives the amplitude.

so that we can say that amplitude of damped oscillatory motion is exponential.

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