5/8=n/n-9Solve each equation

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

Explanation:

Given the below;

We'll go ahead and manipulate the left-hand side of the equation following the below steps;

Step 1: Factor out sinx;

Step 2:

Recall the below trig identity;

Substituting the above, we'll have;

Step 3:

Recall that;

So we'll have;

Step 4:

We can further simplify as seen below;

Step 5:

Recall that;

So we can rewrite our equation as;

Step-by-step explanation:

3500 × 10/100

rs. 350 is the discount

and to find the amnt the customer should pay subtract 350 from 3500

which is,

3150 Rupees

The following is deduced from the equation f(x)=(x - 1)^3 + 5

Horizontal shift: 1 left

Vertical shift: 5 down

Vertical stretch factor: 1

Vertical compression factor: 1

Axis of reflection: -x + 6

Domain: all real numbers

Range: all real numbers

Inflection Point: (1, 5)

The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.

The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.

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Answer:

226.19 in.

Step-by-step explanation:

circumference = πd

circumference = 3.14159 × 12 in.

circumference = 37.70 in.

In one revolution of the wheel, the unicycle travels a distance equal to the circumference of the wheel, or 37.70 in.

In 6 revolutions, the unicycle travels 6 times the circumference of the wheel.

6 × circumference = 6 × 37.70 in. = 226.19 in.

Answer: 226.19 in.

Answer:

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.

This means that \(\mu = 79.7, \sigma = 8.4\)

B: Scores below the top 13% and above the bottom 56%

So between the 56th percentile and the 100 - 13 = 87th percentile.

56th percentile:

X when Z has a p-value of 0.56, so X when Z = 0.15. Then

\(Z = \frac{X - \mu}{\sigma}\)

\(0.15 = \frac{X - 79.7}{8.4}\)

\(X - 79.7 = 0.15*8.4\)

\(X = 81\)

87th percentile:

X when Z has a p-value of 0.87, so X when Z = 1.13.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.13 = \frac{X - 79.7}{8.4}\)

\(X - 79.7 = 1.13*8.4\)

\(X = 89\)

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

The distance between fours points are calculated with a function 'distance'.

Given four real numbers representing cartesian coordinates: (x1,y1),(x2,y2). write a function distance(x1, y1, x2, y2) to compute the distance between the points (x1,y1) and (x2,y2).

Read four real numbers and print the resulting distance calculated by the function

import math

def calculateDistance(x1,y1,x2,y2):

    dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)

    return dist

distance = calculateDistance(2,4,6,8)

print distance

Therefore, the above program is used to calculate the distance between points and print the result.

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Answer:

Use the formula  

a n = a 1  r n  − 1

to identify the geometric sequence.

a n =  1.5 ⋅ 2 n − 1

Answer:

n x 2 = x

Step-by-step explanation:

This is the answer because:

1) 1.5 x 2 = 3

2) 3 x 2 = 6

3) 6 x 2 = 12

Therefore, the pattern in this sequence is n x 2 = x

Hope this helps!

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Answer:

c

Step-by-step explanation:

if Grandson Sinko puts the forks in groups of 12, there will be no forks left over

The least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of each of the given integers. In other words, the LCM is the smallest number that is divisible by all the numbers in a given set.

the least common multiple of 4 and 6, is 12. So if Grandson Sinko puts the forks in groups of 12, there will be no forks left over.

To find the number of forks, we can use the fact that the number of forks is three more than a multiple of both 4 and 6. Let's call the number of forks x. Then we have:

x ≡ 3 (mod 4)

x ≡ 3 (mod 6)

Using the Chinese remainder theorem, we can combine these congruences to get:

x ≡ 3 (mod 12)

This means that the number of forks is three more than a multiple of 12. So we can write:

x = 12n + 3

where n is an integer. To find the value of n, we can plug in the values of x from the first two congruences:

x ≡ 3 (mod 4) => x = 4m + 3

x ≡ 3 (mod 6) => x = 6k + 3

Setting these two expressions for x equal to each other, we get:

4m + 3 = 6k + 3

Simplifying, we get:

2m = 3k

Since 2 and 3 are relatively prime, this means that m must be a multiple of 3 and k must be a multiple of 2. So we can write:

m = 3p

k = 2q

where p and q are integers. Plugging these into the expressions for x, we get:

x = 4m + 3 = 4(3p) + 3 = 12p + 3

x = 6k + 3 = 6(2q) + 3 = 12q + 3

Since x is the same in both expressions, we can set them equal to each other:

12p + 3 = 12q + 3

Simplifying, we get:

p = q

So we can write:

x = 12p + 3

where p is an integer. Therefore, if Grandson Sinko puts the forks in groups of 12, there will be no forks left over.

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Answer: 17/100

Step-by-step explanation:

63/100 is sweaters and 20/100 is jeans and when you add them together you get 83/100. 100/100-83/100=17/100

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

Step-by-step explanation:

Answer:

x=-5, y=-8

Explanation:

I did it already

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

-3 will be on the -x axis n the -6 will be on the -y axis so both will meet at a point.

Step-by-step explanation:

that is all I understand am not sure if I am ryt

Answer:

2/7

Step-by-step explanation:

Since Rebecca is garunteed to pick a poodle, there are 7 puppies left. There are 2 retrievers so the probability is 2/7

Answer:2/7

Step-by-step explanation:

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

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Answer:

A) z = -0.05

B) z = 0.41

C) Amy

Step-by-step explanation:

Remember that the formula we use to calculate a z-score is:

Let's calculate the z-score for Catherine's test grade:

Now, let's calculate the z-score for Amy's test grade:

Since the z-score for Amy's test grade is greater than Catherine's, we can conclude that Amy perfomed better.

Answer:

3

Step-by-step explanation

So, you need to find 10% of 30

10/100 (fraction form of 10%) x 30

of = multiply

10/100 x 30 = 300/100 = 3

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Answer:

   C. (x + 1)² + (y-2)² = 9

Step-by-step explanation:

You want the equation of the circle centered at (-1, 2) with radius 3.

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)² +(y -k)² = r²

For (h, k) = (-1, 2) and r=3, this is ...

  (x -(-1))² +(y -2)² = 3²

  (x +1)² +(y -2)² = 9 . . . . . . matches choice C

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As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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The correct options are;

a. The variables x and y also have a correlation close to 1 .

b. A scatterplot of the variables log x and y shows a strong nonlinear pattern .

The correlation is a measurement of a dependence between 2 variables. If the logarithm of the correlation function shows a linear tendency, it because the correlation between x and y shows a exponential tendency.

This mean that x and y are non linear correlated, but them are correlated.

For this type of data is used a non linear correlation technique know it as logarithm correlation.

Option c is incorrect because random patterns have a correlation value close to 0, which is not the case.

So ,

The correct options are;

a. The variables x and y also have a correlation close to 1

b. A scatterplot of the variables log x andy shows a strong nonlinear pattern

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The unit rate is given as follows:

0.5 laps per minute.

The unit rate is obtained applying the proportions in the context of the problem.

The unit rate is desired in laps per minute, hence we must take a point, and divide the number of laps by the number of minutes.

In two minutes, one lap is completed, hence the unit rate is obtained as follows:

1/2 = 0.5 laps per minute.

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Answer:

1

Step-by-step explanation:

When you graph the functions they intersect at one point

(-3.368119, -31.10436)

Answer:270

Step-by-step explanation:3/5 * 450  reduce the lowest term 3 * 90  calculate first two terms : 270