Determine the value of y, if x is 5.
y = |x| + 10
Answer:

Answer:

1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.

Step-by-step explanation:

You didn't add the picture so this is how I explained it.

Answer:

The second choice should be the best fit line.

the expression \(10x^2 - 14x^3 + 18x^4 as 18x^2(x - 5/18)(x - 2/3).\)\(10x^2 - 14x^3 + 18x^4\) To factorise the expression we can first factor out the common factor of \(2x^\\2\):

\(2x^2(5 - 7x + 9x^2)\)

Now, we need to factorise the quadratic expression in parentheses, \(5 - 7x + 9x^2.\) We can use the quadratic formula to find the roots of this expression:

\(x = (-(-7) ± sqrt((-7)^2 - 4(5)(9)))/(2(9))\)

\(x = (7 ± sqrt(169))/18\)

\(x = (7 ± 13)/18\)

Therefore, the roots are x = 5/18 and x = 2/3.

We can use these roots to factorise the quadratic expression as follows:

5 - 7x + 9x{power}2 = 9(x - 5/18)(x - 2/3)

Substituting this into our original expression, we get:

\(10x^2 - 14x^3 + 18x^4 = 2x^2(5 - 7x + 9x^2)\)

=\(2x^2(9)(x - 5/18)(x - 2/3)\)

= \(18x^2(x - 5/18)(x - 2/3)\)

Therefore, we have successfully factorised the expression\(10x^2 - 14x^3 + 18x^4 as 18x^2(x - 5/18)(x - 2/3).\)

Factorising expressions is an important skill in algebra and can be useful in solving equations and simplifying complex expressions. In this case, we used the method of factoring by grouping and the quadratic formula to factorise the expression into a product of simpler expressions.

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Answer:

\(y<16\)

Step-by-step explanation:

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

Step-by-step explanation:

x \(\geq\) -3 i hope this helps

since it a close circle It's either less than or equal to or greater than or equal to but since the arrow is pointing to the right it means that X is greater than or equal to negative 3

To find the maximum and minimum values of the function f(x, y) = exy subject to x^3 + y^3 = 54, we need to use the method of Lagrange multipliers.

Let's define g(x,y) = x^3 + y^3 - 54 as our constraint equation. Then, the Lagrangian function is:

L(x,y,λ) = exy + λ(x^3 + y^3 - 54)

Taking the partial derivatives with respect to x, y, and λ and setting them equal to 0, we get:

∂L/∂x = ey + 3λx^2 = 0
∂L/∂y = ex + 3λy^2 = 0
∂L/∂λ = x^3 + y^3 - 54 = 0

From the first two equations, we can solve for x and y in terms of λ:

x = (-ey/3λ)^(1/2)
y = (-ex/3λ)^(1/2)

Substituting these expressions into the third equation, we get:

(-ex/3λ)^(3/2) + (-ey/3λ)^(3/2) - 54 = 0

We can solve for λ in terms of e:

λ = e^(2/3)/(2*3^(1/3))

Substituting this back into the expressions for x and y, we get:

x = 3^(1/6)*e^(1/3)/y^(1/2)
y = 3^(1/6)*e^(1/3)/x^(1/2)

Now, we can find the critical points by setting the partial derivatives of f(x,y) = exy equal to 0:

∂f/∂x = ey(x) = 0
∂f/∂y = ex(y) = 0

From the expressions for x and y above, we see that x and y cannot be 0. Therefore, the only critical point is when e^(xy) = 0, which is not possible.

Thus, the function has no critical points in the interior of the region defined by the constraint equation. This means that the maximum and minimum values of the function must occur on the boundary of the region.

We can parametrize the boundary using polar coordinates:

x = 3^(1/3)cos(t)
y = 3^(1/3)sin(t)

Substituting these into f(x,y) = exy, we get:

f(t) = e^(3^(2/3)cos(t)sin(t))

To find the maximum and minimum values of f(t), we can take the derivative with respect to t and set it equal to 0:

f'(t) = 3^(2/3)e^(3^(2/3)cos(t)sin(t))(cos(2t) - sin(2t)) = 0

The solutions to this equation are t = π/4 and t = 5π/4.

Substituting these values back into f(t), we get:

f(π/4) = f(5π/4) = e^(3^(2/3))

Therefore, the maximum and minimum values of the function f(x,y) = exy subject to x^3 + y^3 = 54 are both e^(3^(2/3)).

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The relative velocity of one plane with respect to the other plane is given

by the sum of the velocity of the two planes.

Reasons:

The distance between the two airports = 2,400 km

Speed of the plane from NAIA = 800 kilometer per hour

Speed of the plane coming from SIN = 640 kilometers per hour

Let t represent the time after which the two planes meet, we have;

800 × t + 640 × t = 2,400

\(\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr\)

The time after which the two planes meet, t = \(\underline{1. \overline 6 \ km/hr}\)

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Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

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the probability that a Bar-headed goose chosen at random flaps its wings between 4 and 4.5 times per second is approximately 0.6831 or 68.31%.          

To find the probability that a Bar-headed goose chosen at random flaps its wings between 4 and 4.5 times per second, we can use the properties of the Normal distribution.

Given that the wingbeat frequency follows a Normal distribution with a mean (μ) of 4.25 flaps per second and a standard deviation (σ) of 0.2 flaps per second, we need to calculate the probability that the wingbeat frequency falls within the range of 4 to 4.5.

We can standardize the range by using the Z-score formula

Z = (X - μ) / σ

where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For the lower bound, 4 flaps per second:

Z_lower = (4 - 4.25) / 0.2

For the upper bound, 4.5 flaps per second:

Z_upper = (4.5 - 4.25) / 0.2

Now, we need to find the probabilities associated with these Z-scores using a standard Normal distribution table or a calculator.

Using a standard Normal distribution table, we can find the probabilities as follows:

P(4 ≤ X ≤ 4.5) = P(Z_lower ≤ Z ≤ Z_upper)

Let's calculate the Z-scores:

Z_lower = (4 - 4.25) / 0.2 = -1.25

Z_upper = (4.5 - 4.25) / 0.2 = 1.25

Now, we can look up the corresponding probabilities in the standard Normal distribution table for Z-scores of -1.25 and 1.25. Alternatively, we can use a calculator or statistical software to find these probabilities.

using a standard Normal distribution table, we find:

P(-1.25 ≤ Z ≤ 1.25) ≈ 0.7887 - 0.1056 = 0.6831

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:60%

Step-by-step explanation:

90-36=54 54/90 = 60

60%

Answer:

120. hope his helps.

Step-by-step explanation:

50 + 70 = 120

Answer:

Lizzie earns $12.40 per hour as a barista in a cafe. To find out how much she will be paid for working 20 hours, we can use the formula:

Total pay = Hourly rate x Number of hours worked

Plugging in the given values, we get:

Total pay = $12.40/h x 20 h

Simplifying, we get:

Total pay = $248.00

Therefore, Lizzie will be paid $248.00 for working 20 hours as a barista in a cafe.

Step-by-step explanation:

Answer:

b 12

Step-by-step explanation:

62=5x+2(opposite angle are equal)

5x=60

x=12

Answer:

2.97p

Step-by-step explanation:

each pound of grape costs $2.97

p pounds are bought. Multiply:

2.97p is your answer, or 2.97 * p.

~

Answer:

Step-by-step explanation:

(- 1)Ip - (-5)(-g)] + (p + q)(-2)

= (-1)(-3)(7) - (-5)(-7) + (-3 + q)(-2)

= 21 - 35 + (-2)(-3 + q)

= -14 - 2(3 - q)

= -14 - 6 + 2q

= -20 + 2q

p = -3 and g = 7 is -20 + 2q.

The triangular pyramid has a greater surface area than the square pyramid.

The surface area of a pyramid depends on the shape and dimensions of its base as well as its height and slant height. In this case, the square pyramid has a square base with sides of length 10 cm and four equilateral triangular faces with a height of 8.66 cm. The triangular pyramid has an equilateral triangular base with sides of length 10 cm and three identical equilateral triangular faces, each with a height of 8.66 cm.

To calculate the surface area of the square pyramid, we can first find the slant height of each triangular face using the Pythagorean theorem:

slant height = sqrt(10^2 + (8.66/2)^2) = 10.82 cm

Then, we can calculate the area of each triangular face as:

area = (1/2) * base * height = (1/2) * 10 cm * 8.66 cm = 43.3 cm^2

And finally, the total surface area of the pyramid is:

total surface area = area of base + 4 * area of triangular faces

= 10 cm * 10 cm + 4 * 43.3 cm^2

= 600.8 cm^2

To calculate the surface area of the triangular pyramid, we can use the formula:

surface area = area of base + 1/2 * perimeter * slant height

The area of the equilateral triangular base is:

area = (sqrt(3)/4) * base^2 = (sqrt(3)/4) * 10 cm^2 ≈ 21.65 cm^2

The perimeter of the base is simply 3 times the length of a side, or 30 cm. The slant height of each triangular face is 8.66 cm, so the surface area of the pyramid is:

surface area = 21.65 cm^2 + 1/2 * 30 cm * 8.66 cm

= 21.65 cm^2 + 130.0 cm^2

= 151.65 cm^2

Therefore, the triangular pyramid has a greater surface area than the square pyramid.

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The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

\(median = \frac{9+ 10}{2} = 9.5\)

The mean of these numbers is calculated as;

\(mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07\)

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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Hence, the required average value of the function on the given interval is 6.889 (approx).

Given function is:

f(x) = x² - 1,

defined on interval [1, 4].

To find the average value of the function on the given interval, use the formula,

\(`f_ave\)  = (1/(b - a)) * ∫[a, b] f(x) dx`

Where,`a` and `b` are the limits of the interval`f(x)` is the function`f_ave` is the average value of `f(x)` on the interval [a, b]

Now, substitute the given values,

`a = 1`,

`b = 4` and

`f(x) = x² - 1` in the above formula.

∫[a, b] f(x) dx= ∫[1, 4] x² - 1 dx

= [x³/3 - x] from 1 to 4

= [(4)³/3 - 4] - [(1)³/3 - 1]

= 64/3 - 3/3 + 1

= 62/3

Now,

\(`f_ave\)= (1/(b - a)) * ∫[a, b] f(x) dx`

= (1/(4 - 1)) * (62/3)

= 62/9

= 6.889 (approx)

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Answer:

Impossible you can’t

Step-by-step explanation:

There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

24,500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 350%/100 = 3.5 per year,

then, solving our equation

I = 1000 × 3.5 × 7 = 24500

I = $ 24,500.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 350% per year

for 7 years is $ 24,500.00.

The net payoff obtained during the game is $40. Option D is the correct answer.

The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.

Given that, each round cost $20, and each win gives $50.

Now, for 3 rounds the total cost is:

$20 x 3 = $60

After winning the two round the win amount is:

$50 x 2 = $100

Now, the net payoff is:

$100 - $60 = $40.

Hence, the net payoff obtained during the game is $40. Option D is the correct answer.

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Answer:kkkkkkk

Step-by-step explanation:

A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

third option both cost the same after 2 months

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

80+ 0.3x = 60 + 0.4x

20 = 0.1x

x = 200

Therefore, at 150 miles, the best deal changes companies

Step-by-step explanation: