How can you decompose one number to subtract? Why did you
choose that way? 696-275

Answer:

you will have to pay a total of 54$

Step-by-step explanation:

50$ : 100% = x : 108% (+8% for the tax   100+8+108)

100x = 108 x 50

100x = 5400

5400 ÷ 100 = 54

Total 54 $

The total money paid to buy a coffee maker is $54.

Given that, the cost of a coffee maker=$50 and the sales tax=8%.

We need to find the total cost of a coffee maker.

A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually, laws allow the seller to collect funds for the tax from the consumer at the point of purchase.

Sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at retail.

Now, the total money paid=50+8% of 508% of 50 can be calculated as 0.08×50=4

So, 50+4=$54

Therefore, the total money paid to buy a coffee maker is $54.

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After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

We are given that the factored form of 30.8n+8.4 is a(11n+3).

To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.

Expanding a(11n+3), we get:

a(11n+3) = 11an + 3a

Equating this to 30.8n+8.4, we have:

11an + 3a = 30.8n + 8.4

We can factor out an "a" from the left-hand side:

a(11n + 3) = 30.8n + 8.4

Now we can see that this is the same as the given factored form, so we can equate the two expressions:

a(11n + 3) = a(11n + 3)

This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):

a = 30.8/(11n+3)

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Answer:

$28.25

Step-by-step explanation:

$25.75 + $28.75 + $30.25 = $84.75

$84.75 divided by 3 = $28.25

Answer:

they will each get $28.25

Step-by-step explanation:

Add up all of the tips and divide by how many people there are...in this case there are 3 people

Answer:

1/3, 3/8, 5/12, 5/16 and 7/16.

Step-by-step explanation:

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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The perimeter of the regular polygon is 232

The side lengths of the regular polygon are given as

4/3x - 1/3 and x + 7

The sides of regular polygon are equal

So, we have:

4/3x - 1/3 = x + 7

Multiply both sides by 3

4x - 1 = 3x + 21

Collect like terms

4x - 3x = 1 + 21

Evaluate the like terms

x = 22

Substitute x = 22 in x + 7

Side = 22 + 7

Side = 29

The perimeter of the regular polygon is calculated as:

Perimeter = Number of sides x Side length

So, we have

Perimeter = 8 * 29

Evaluate

Perimeter = 232

Hence, the perimeter of the regular polygon is 232

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Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

The sequence is give

Answer:

150

Step-by-step explanation:

If 7-5=2 books cost 300 and you want to find the cost of 1 book, you would need to divide that 300 by 2.

300÷2=150

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

a. The initial height of the ball at time = 0 is 2.0 meters.

b. The ball is at the maximum height at 2.05 seconds.

c. The maximum height of the ball is 23.01 meters.

d. It took the ball 4.20 seconds to hit the ground.

Based on the information provided, we can logically deduce that the height (h) in meters, of this ball above the​ ground is related to time (t) by the following quadratic function:

h(t) = -5t² + 20.5t  + 2

Part a.

In order to determine the initial height of the ball, we would substitute t = 0 as follows;

h(t) = -5t² + 20.5t  + 2

h(0) = -5(0)² + 20.5(0)  + 2

h(0) = 2 meters.

Part b.

In order to determine the time when the ball is at the maximum height, we would differentiate the height function above as follows;

h(t) = -5t² + 20.5t  + 2

h'(t) = -10t + 20.5

10t = 20.5

t = 20.5/10

Time, t = 2.05 seconds.

Part c.

For the maximum height of the ball, we have:

h(t) = -5t² + 20.5t  + 2

h(2.05) = -5(2.05)² + 20.5(2.05)  + 2

h(2.05) = 23.01 meters.

Part d.

Next, we would determine the time when the ball would land by setting the height function to zero (0) as follows;

h(t) = -5t² + 20.5t  + 2

0 = -5t² + 20.5t  + 2

\(t = \frac{-(20.5)\; \pm \;\sqrt{20.5^2 - 4(5)(-2)}}{2(5)}\)

Time, t = 4.20 seconds.

Note: The graph above isn't a correct representation of the height function h(t) = -5t² + 20.5t  + 2.

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Answer:

Infinite.

Step-by-step explanation:

\(-17+2(1+3x)=x-5(3-x)\)

Expand:

\(-17+2+6x=x-15+5x\)

\(6x+15=6x+15\)

\(6x=6x\)

\(0=0\)

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

The support vectors are the data points xi for which 0 < αi < C, and the margin is given by:

margin = 2 / ||w||

To solve the SVM problem for the given data points, we must first convert it to its dual form, which requires us to find the Lagrange multipliers that satisfy the Karush-Kuhn-Tucker (KKT) conditions. The KKT conditions for this problem are as follows:

yi(xTiw - b) - 1 + I = 0 for I = 1, 2,..., n (non-negativity constraint) I = 0 for I = 1, 2,..., n (primal feasibility)

For I = 1, 2,..., n (complementary slackness), i[yi(xTiw - b) - 1 + I = 0 (dual feasibility)

where the variables I are slack variables that allow for some misclassification.

The SVM problem has a dual form:

Increase L(w,b,) = i=1n I - 1/2 i=1nj=1n ijyi yj(xixj)

subject to 0 I C when I = 1, 2,..., n i=1n iyi = 0

where C is a regularisation parameter that governs the trade-off between maximising margin and minimising classification error.

We can solve the SVM problem using the dual form by finding the optimal values of the Lagrange multipliers 1, 2,..., n that maximise L(w,b,), and then using them to compute w and b. Support vectors are data points that have non-zero Lagrange multipliers and are located on the margin's edge.

To apply this to the given data points, we must first compute the pairwise dot products of xi:

x1⋅x2 = 7

x1⋅x3 = 10

x1⋅x4 = 1

x1⋅x5 = 0.5

x1⋅x6 = 1

x1⋅x7 = 2

x2⋅x3 = 13

x2⋅x4 = 10

x2⋅x5 = 5

x2⋅x6 = 8

x2⋅x7 = 9

x3⋅x4 = 25

x3⋅x5 = 6

x3⋅x6 = 9

x3⋅x7 = 6

x4⋅x5 = 0

x4⋅x6 = 3

x4⋅x7 = 3

x5⋅x6 = 0

x5⋅x7 = 1

x6⋅x7 = 7

Then, using a quadratic programming solver, we can find the optimal values of 1, 2,..., 7 that maximise L(w,b,), subject to the constraints 0 I C and i=1n iyi = 0. C determines the regularisation of the SVM, which we can tune using cross-validation or other methods.

Once we've determined the best I values, we can compute w and b as follows:

w = I = 1n iyixi

b = yi - wxi for any I so that 0 I C

The classification function for a new data point x is:

sign(wx + b) f(x)

sign is the sign function, which returns +1 or -1 depending on the sign of its argument.

The data points xi for which 0 I C are the support vectors, and the margin is given by:

||w|| margin = 2

where ||w|| is w's Euclidean norm.

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Answer:

I need points.

Step-by-step explanation:

1 + 2= 3

Now adding together 200,000,000+ 382,838,382 is 582,838,382.

Now If we're to multiply (Times) it together:

3 x 582,838,382

is

1,748,515,146

Hope this helps!

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

Answer:

Option A (2197 cm³)

Step-by-step explanation:

For a cube with length of each side "a" , it's

_____________________________________________

According to the question ,

Total Surface Area = 1014 cm²

Let the length of each side of cube be 'a'.

Using the formula ,

\(6a^{2} =1014\)

\(=> a^{2} =\frac{1014}{6} = 169\)

\(=> a = \sqrt{169} = +13 \: or -13\)

But length can't be negative . So , length of each side = 13 cm

∴ Volume of cube = 13³ = 2197 cm³

Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36

Answer:

24 3/4 - 15 1/6

Step-by-step explanation:

1/6 x 4 = 4/24        3/4 x 6 = 18/24    

24-15 = 9

9 14/24 or 9 7/12

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

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

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer:

i may be wrong but ty 6

Step-by-step explanation:

Answer:

Note: This looks incorrect but I couldn't find what's wrong.

x=39.83

angle 1= 84.66 degrees

Step-by-step explanation:

The total sum of the exterior angles of any polygon is 360 degrees.

I see that angle 1 is congruent to angle (2x-5)

Here's our equation:

x+21+x+12+45+2x-5+53+2x-5=360

6x+121=360

6x=239

6x/6=239/6

x=39.83

angle 1 = 2x-5 = 2(39.83)-5 = 84.66 degrees

Answer:

y = -x+5

Step-by-step explanation:

Use point slope formula to find the equation of the line

First find the slope: (-1-4)/(6-1) = -5/5, slope = -1

Then, use the formula: y - y1 = m(x - x1)

y - 4 = -1(x - 1)

y - 4 = -x+1

y = -x + 5

Answer: C

Step-by-step explanation:

The time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The time will be calculated as:-

First, we will calculate the speed to cover the distance of Brother's house:-

Speed = Distance / Time

Speed = 481 / 13 = 37 miles per hour.

Now the time to cover a distance of 814 miles will be calculated as:-

Time = Distance / Speed

Time = 814 / 37

Time = 22 hours

Therefore the time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

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