Suppose that you are gambling at a casino. Every day you play at a slot machine, and your goal is to minimize your losses. We model this as the experts problem. Every day you must take the advice of one of n experts (i. E. A slot machine). At the end of each day t, if you take advice from expert i, the advice costs you some c t i in [0, 1]. You want to minimize the regret R, defined as:

The correct answer i.e., the new equation is:

y = 1/4 cos(x−3) - 3

The given equation y = acos(x−c) + d represents a transformation of the graph of y = cos(x).

The transformation involves a vertical compression by a factor of 1/4 and a translation downward by 3 units.

To achieve the vertical compression, the coefficient 'a' in front of cos(x−c) should be 1/4. This means the amplitude of the cosine function is reduced to one-fourth of its original value.

Next, the translation downward by 3 units is represented by the term '-3' added to the equation. This shifts the entire graph downward by 3 units.

Combining these transformations, we can write the new equation as:

y = 1/4 cos(x−3) - 3

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Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m =  =  =  = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line

The value of x for the same angle based on the information is 13.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle

Since angles 5 and 10 are the same, we can set them equal to each other:

91 - 2x = 5x

Simplifying this equation, we can add 2x to both sides:

91 = 7x

Then, we can divide both sides by 7 to solve for x:

x = 13

Therefore, the value of x for the same angle is 13.

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The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Answer:

The answer is 10

Step-by-step explanation:

Because 10 times 3 is 30. and 30 +46 is 76. Then you add 14 and that gets you 90 degrees

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

Let the number of boxes of pens sold be x. So, the number of batteries sold would be 5x.(As it is given that customers bought 5 times as many batteries as boxes of pens.)The cost of each box of pens is $5. Therefore, the total cost of x boxes of pens would be 5x dollars.

The cost of each battery is $3. Therefore, the total cost of 5x batteries would be 15x dollars. Total sales in August were \($960.So, 5x + 15x = 96020x = 960x = 48\)

Therefore, the number of boxes of pens sold

= x = 48 The number of batteries sold = 5x = 5 × 48 = 240

Therefore, Ace Hardware sold 48 boxes of pens and 240 batteries in August. In total, Ace Hardware sold 288 items in August (48 boxes of pens and 240 batteries).Note: The answer should be in more than 100 words.

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Answer:

Step-by-step explanation:

y=8.25x+10

20 hours

8.25*20 is 165

165+10 is 175

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10

The expression that represent the total area in square feet covered by the wood panels is: 6x² feet²

The formula and procedure to solve this geometry exercise is:

A = s²

Where:

Problem information:

Using the formula of the square area we get the area of 1 panel:

A(1 panel) = s²

A(1 panel) = (x feet)²

A(1 panel) = x² feet²

Calculating the total area of the 6 wood panels we get:

A(total): No. panels * A(1 panel)

A(total): 6x² feet²

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2

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Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

0.75m/s^2

Step-by-step explanation:

gradient is change in y/change in x

30/40= 3/4

0.75m/s^2

Answer:

6

Step-by-step explanation:

substitute the given values into the expression

4\(a^{4}\) - 2b² + 40

= 4\((2)^{4}\) - 2(7)² + 40

= 4(16) - 2(49) + 40

= 64 - 98 + 40

= - 34 + 40

= 6

The monthly payment for a car loan amount of $10,000, with a term of 3 years and an interest rate of 6% compounded monthly, is approximately $304.22. The total amount paid for the loan over the 3-year term is approximately $10,956.12, and the total amount of interest paid is approximately $956.12.

To find the monthly payment, we can use the formula for the monthly payment on a loan:

PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT = Monthly payment

P = Loan amount ($10,000)

r = Monthly interest rate (6% divided by 12 months, or 0.06/12)

n = Number of monthly payments (3 years multiplied by 12 months, or 3*12)

By plugging in the values into the formula, we find that the monthly payment is approximately $304.22.

To determine the total amount paid for the loan, we multiply the monthly payment by the total number of payments (36 months): $304.22 * 36 = $10,956.12.

The total amount of interest paid can be found by subtracting the original loan amount from the total amount paid: $10,956.12 - $10,000 = $956.12.

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Answer:

4

Step-by-step explanation:

The missing value with a whole number is 4.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given that, 40 thousandths= hundredths

Let the missing value with a whole number be x.

Now, 40 thousandths= x hundredths

40 thousandths

= 40 ×1/1000

= 0.04

So, 0.04= x ×1/100

0.04×100=x

x=4

So, 40 thousandths= 4 hundredths

Therefore, the missing value with a whole number is 4.

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From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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The slope on the line containing the points (14,-42) is 1.06, as stated in the preceding sentence (-48,24).

The % slope is calculated by multiplying the distance between two locations by the differences in elevation above them. The difference in height between two places is referred to as "rise." The distance between it sites is known as the run. Therefore, the formula for percent slope is (rise / run) x 100.

The slope's formula is as follows:

m = (y₂-y₁)/x₂-x₁)

In the formula, replace the point values as follows:

m = (24-(-42))/(-48-14)

Make the fraction simpler:

m = (24-(-42))/(-48-14)

m = 66/-62

m = 1.06

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

inequality form

\(x \geqslant - 3\)

The  point (x0, y0) lies on the line passing through the origin, and hence the normal line to the circle at P passes through the origin.

Let P = (x0, y0) be any point on the circle x^2 + y^2 = a^2.

The gradient of the tangent to the circle at P is given by dy/dx = -x0/y0.

Therefore, the gradient of the normal to the circle at P is given by -y0/x0.

Using the point-slope equation of a line, the equation of the normal line passing through P is y - y0 = (-x0/y0)(x - x0).

To show that this line passes through the origin, we need to substitute x = 0 and y = 0 into the equation of the line and show that it satisfies the equation.

Substituting x = 0, we get y - y0 = 0, which gives y = y0.

Substituting y = 0, we get -x0(x - x0)/y0 = 0, which gives x = x0.

Therefore, the point (x0, y0) lies on the line passing through the origin, and hence the normal line to the circle at P passes through the origin.

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To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

The ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

The ratio of the original height of candle x to the original height of candle y can be found by considering their burning rates and the time it takes for them to reach the same length. Based on the given information, candle x burns at a rate of 1/13 of its height per hour, while candle y burns at a rate of 1/24 of its height per hour. After burning for 9 hours, both candles have the same length.

Let's assume the original height of candle x is Hx and the original height of candle y is Hy. Candle x burns at a rate of 1/13 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/13)Hx = (4/13)Hx. Similarly, candle y burns at a rate of 1/24 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/24)Hy = (15/24)Hy.

Given that both candles have the same length after burning for 9 hours, we can equate their remaining heights:

(4/13)Hx = (15/24)Hy

To find the ratio of the original heights, we divide both sides of the equation by Hy:

(4/13)Hx / Hy = (15/24)

Simplifying the equation, we get:

Hx / Hy = (15/24) * (13/4) = 13/8

Therefore, the ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

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We can simplify the expression to get:

\(\sqrt[4]{x^3}\)

Here we want to simplify the following expression:

\(\sqrt[]{x} *\sqrt[4]{x}\)

Remember that a square root is equivalent to a power of 1/2, and the fourth root is equivalent to a power of 1/4.

Then we can write:

\(\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4}\)

Now in the product we just add the exponents:

\(\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4} = x^{1/2 + 1/4} = x^{3/4} = \sqrt[4]{x^3}\)

That is the expression si,plified.

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Answer:

D) 4\(z^2\)  + 5z - 6

Step-by-step explanation:

Answer:

Hi! answer: v = 33

Step-by-step explanation:

44 - 11 = 33 11 + 33 = 44 so v = 33

Answer:

225 tons is the total

Step-by-step explanation:

Let the total amount be x

Given that,

32% of x = 72tons

32x/100 = 72tons

32x = 7200tons

x = 225 tons

To verify,

32% of 225 = 72tons

32/100 * 225 = 72 tons

72 = 72

Hence, verified.