A car was bought a year ago for £1875. It is now worth £1335. By what percentage has the car depreciated in value? (round to 1 decimal place)

The gradient descent algorithm is an iterative optimization algorithm commonly used to find the minimum of a function.

At each iteration, the algorithm updates the current point in the direction opposite to the gradient of the function evaluated at that point. The gradient of a function measures the rate of change of the function with respect to each variable.

In the context of the gradient descent algorithm, the gradient of a function at a point is orthogonal to the level set of the function at that point. This means that the gradient vector points in the direction of steepest ascent, while the level set represents the set of points where the function has the same value. Orthogonality between the gradient and the level set implies that moving in the direction of the negative gradient will lead to a decrease in the function's value.

By updating the current point in the direction of the negative gradient, the gradient descent algorithm efficiently moves towards the minimum of the function. The algorithm iteratively performs this update until it converges to a local minimum.

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Answer:

An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.

Answer:

Step-by-step explanation:

answer:

Given: Cost first 20 words: \$18 Cost per additional word: \$0.35

Answer: The answer is the 3rd option.... if not then it’s the fourth! They both seem correct!

Step-by-step explanation:

answer:

d) pick every 10th student who is listed on the student role for the school **you chose the correct answer**

step-by-step explanation:

'd' is the correct answer because it's the best way to survey the most amount of students

:)

!

Answer: Four eighth notes

Sixteenth Notes

Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.

Answer:

show the whole number line plz

Step-by-step explanation:

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

x = 2/3y + 8

y = 3/2x − 12

The approximate probability that a randomly selected student will be more than 51.75 inches tall is B. About 31%.

To solve this problem, we need to standardize the value of 51.75 inches by converting it to a z-score using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Plugging in the values, we get:

z = (51.75 - 54.6) / 5.7 = -0.5

We can then use the standard normal distribution table or calculator to find the probability that a randomly selected student will be more than 51.75 inches tall, which is equivalent to the probability of a z-score greater than -0.5. Looking at the table, we find that the probability is approximately 0.3085.

Therefore, the answer is B. About 31%.

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Answer:

300 w

Step-by-step explanation:

swim this question we have an equation w = 21 25 - 2012 I square which represents the power w where w is the power in watts and 120 volt circuit is there which has a resistance of 12 ohm when current I is flowing through the circuit the voltage resistance and current is what is the maximum power in war that can be delivered in this circuit so we have to find out the maximum value of power that can exist in the circuit with 120 volts AC circuit and 12 homes of resistance ok so to find the maximum value of this in an equation we need to find vi we can the best way is we can find out the Maxima Abhishek creation and how do you

find the maximum to find the maximum we can differentiate this equation with respect to I and when the equator when we will equip the differentiation of this equation 20 the value of I that will obtain that will be obtained after doing this will be the maximum for this equation let me show you how that is differentiate DW by D I can we differentiate this this equation with respect to I we get 120 - 24 I know what we have to do this week with this 20 now 120 - 24 I = 20 with this I = 25 we get the value of equal to 55 is the maximum for this equation which means that if we put the value of I

45 we replace if the Avengers equation replace iPhone 5 will get the maximum value of w which is what you wanted right we wanted the maximum power in watts letters replace I buy 5 this equation the equation is 120 I -12 I square be replaced by 5 we get the answer as 300 w this is our answer

Answer:2

Step-by-step explanation:

The expected value of the game is -0.5, and Miguel is expected to lose $0.5

The expected value is calculated using:

\(E(x) = \sum x * P(x)\)

Using the values in the complete table, we have;

\(E(x) = 2 * 1/6 - 1 * 5/6\)

Evaluate the product

\(E(x) = 2/6 - 5/6\)

Evaluate the difference

\(E(x) =- 1/2\)

Express as decimal

E(x) = -0.5

-1/2 is less than 0.

This means that Miguel is expected to lose $0.5

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Answer:

X> 3/17

Step-by-step explanation:

6x+ 6/6 > 1/3x + 2

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.

Since T is a linear transformation, we have:

\(T([xy]) = T(xv_1 + yv_2)\)

Using the linearity property, we can expand this expression:

\(T([xy]) = xT(v_1) + yT(v_2)\)

Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:

T([xy]) = x[-11-9] + y[56]

T([xy]) = [-11x - 9x + 56y]

Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

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Answer:

x =  ​(y+w)/k

Step-by-step explanation:

xk-w=y ​

Add w to each side

xk-w+w=y+w

xk = y+w

Divide each side by k

xk/k = (y+w)/k

x =  ​(y+w)/k

Answer:

x=\(\frac{y+w}{k}\)

Step-by-step explanation:

Have a nice day

Answer:

100 miles Is the correct amswer

Answer:

Baseball gloves = 17 gloves  ||     Bats = 11 bats

Step-by-step explanation:

Let baseball gloves be x and bat be y

Possible Equations:

x + y = 28

29x + 14y = 647

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

make x the subject:

x + y = 28

x = 28 - y .........equation 1

29x + 14y = 647

x = (647 - 14y)/29 .........equation 2

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

Solve them simultaneously:

28 - y = (647 - 14y)/29

29(28 - y) = 647 - 14y

812 - 29y = 647 - 14y

-14y + 29y = 812 - 647

15y = 165

y = 11

So the number of bats he sold is 11 bats.

number of gloves he sold:  x = 28 - y

                                          :  x = 28 - 11

                                          :   x = 17

So number of baseball gloves he sold is 17 baseball gloves.

The expected value of the sampling distribution of p is 0.8.

A statistic's probability distribution is called a sampling distribution when it is calculated from a larger number of samples taken from a particular population. The distribution of frequencies for a variety of outcomes that could possibly occur for a statistic of a population is known as the sampling distribution of that population.

The normal distribution, which is also known as the Gaussian distribution, is symmetric about the mean. It demonstrates that data close to the mean occur more frequently than data far from the mean. The normal distribution is depicted graphically as a "bell curve."

the sampling distribution of sample proportion will be a normal distribution with mean

\(\mu_{p}\) = p = 0.8

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Answer:Real estate agent

Step-by-step explanation:

got it right

Answer:

Real Estate Agent

Step-by-step explanation:

Answer:

I know the answer...

Step-by-step explanation:

but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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The given scenario describes an oscillating LC (inductor-capacitor) circuit with an inductance L and capacitance C. At time t = 0, the circuit is in a specific state.

To understand the behavior of the circuit, we need to consider the concepts of energy storage, natural frequency, and oscillations in LC circuits.

An LC circuit consists of an inductor and a capacitor connected in series or parallel. At time t = 0, the circuit is typically assumed to be in an initial state, such as fully charged or discharged. When the circuit is initially energized, the capacitor begins to charge or discharge through the inductor, causing the energy to oscillate between the inductor's magnetic field and the capacitor's electric field.

The behavior of the oscillating LC circuit is determined by factors such as the inductance (L) and capacitance (C) values. These values affect the circuit's natural frequency, which is the frequency at which the energy oscillations occur without any external influences. The natural frequency can be calculated using the formula f = 1 / (2π√(LC)), where f represents the frequency.

Understanding the oscillating behavior of an LC circuit is important for various applications, such as in radio and communication systems, where LC circuits are used for tuning and filtering purposes.

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Answer:

Hi there! Please give the full question! There are many different questions that could go along with this graph!

Answer:   (a) Amplitude = 19

                 (b) Vertical Shift = 59

                 (c) Period = 24                

                  \(\bold{(d)\quad y=19\cos\bigg(\dfrac{\pi}{12}x\bigg)+59}\)

                 (e) The model = 50°,  the actual value = 52°

Step-by-step explanation:

The equation of a cosine function is: y = A cos (Bx - C) + D   where

(a) Amplitude (A) = (Max - Min)/2

                           = (77 - 40)/2

                           = 37/2

                           = 18.5  (I rounded it up to 19)

(b) Vertical Shift (aka Center) (D)= (Max + Min)/2

                                                     = (77 + 40)/2

                                                      = 117/2

                                                      = 58.5  (I rounded it up to 59)

(c) Period (P) = 24

    B = 2π/P

       = 2π/24

       = π/12

(d) There is no Phase Shift because the max is on the y-axis.

     A = 19, B = π/12, C = 0, D = 59

           ⇒ y = 19 cos(π/12)x + 59

(e) let x = -2     (-2 represents 10 am on the graph)      

    ⇒  y = 19 cos(π/12)(-2) + 59

             = 19 cos (-π/6) + 59

             = 19(-1/2) + 59

             = -9.5 + 59

             = 49.5

The model estimates the temperature at 10 am to be ≈ 50°

The actual temperature from the table is 52°

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

2

Step-by-step explanation:

1/5*10