Math help please and thank you

By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.

Here's a MATLAB code snippet that simulates the function M(x, y):

function result = M(x, y, R)

   if x^2 + y^2 <= R^2

       result = 1;

   else

       result = 0;

   end

end

To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.

For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:

x = 3;

y = 4;

R = 5;

result = M(x, y, R);

disp(result);

The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.

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Answer:

B

Step-by-step explanation:

Using the information for choice B, this is what can be done.

For n = 2, 32\((\frac{1}{2})^{2}\) = 8

In the sequence, 8 is the first sequence number.

\(\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}}  }\) 

\(\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}\) 

\(\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}}   }}\) 

\(\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2}   }}\) 

\(\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2}   }}\) 

\(\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2}   }}\) 

\(\bold{\green{ x=-2 } }\)

Answer:

Step-by-step explanation:

simplify upper n lower fraction of LHS:

2^x+22^x+222^x

= 2^x*1 + (2*11)^x + (2*111)^x

= 2^x*1 + 2^x*11^x + 2^x*111^x

= 2^x*(1+11^x+111^x)

3^x+33^x+333^x

= 3^x*1 + (3*11)^x + (3*111)^x

= 3^x*1 + 3^x*11^x + 3^x*111^x

= 3^x*(1+11^x+111^x)

so LHS

= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))

= 2^x / 3^x

= (2/3)^x

RHS = 9/4

= (3^2/ 2^2)

= (3/2)^2

= (2/3)^(-2)

so x = -2

To write f(x) = 5(x - 2)2 - 7 in standard form, we need to expand the squared term first:

f(x) = 5(x - 2)(x - 2) - 7

f(x) = 5(x2 - 4x + 4) - 7

f(x) = 5x2 - 20x + 13

Therefore, the standard form of f(x) = 5(x - 2)2 - 7 is f(x) = 5x2 - 20x + 13.

Answer: f(x)=5x2−20x+13

Step-by-step explanation:

Answer:

31/33

Step-by-step explanation:

Answer

i think it is 9\100

if it is incorrect then im rlly sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

1...

1000*0.03=30

so theres an addition $30 added every year

There are 12 months in a year so 30/12=$2.5

He pays $2.5 each month sooooo

2.5*3

would be $7.5 in interest

2...i have no clue im sorry :((((

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

The probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is 59.87%

What is the normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

X is observed value.

μ is mean of the sample.

σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the normal distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Using continuity correction, the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is P(X < 20 - 0.5) = P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

z = (20 -19.25)/2.943

z = 0.25 has a p-value of 0.5987.

0.5987 =59.87%

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Answer:

B of course you dummy

Step-by-step explanation:

The  smallest such $n$ is $12$.

To solve the problem, we can start by expanding $(n+r)^3$ and approximating it by ignoring the term $r^3$, since $r$ is small.

We  then want to find the smallest positive integer $n$ such that there exists a positive real number $r$ less than $1/1000$ satisfying the equation. We can try different values of $n$ starting from $n=1$ and incrementing by $1$ until we find a value of $n$ that works.

By  testing a few values, we find that $n=12$ works, giving us $1728 + 1296r + 324r^2$, which is less than $(12+1/40)^3$. Therefore, the smallest such $n$ is $12$.

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Answer:

c)

Step-by-step explanation:

the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.

Answer:

-4

Step-by-step explanation:

3x + 9 = 2x + 5

Collect like terms

3x - 2x = 5 - 9

x = -4

Answer: m<2 = 123°

Step-by-step explanation:

Because lines l and m are parallel, m<5 = m<1.

m<1 = 57°

to find m<2, you must recognize that m<1 and m<2 are supplementary (or 180° if added together) because of the above proof, the lines are parallel

doing some algebra:
180-m<1=m<2

180-57=123
and because we are working we degree measures don’t forget your ° sign

Answer:

Step-by-step explanation:

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Let's x ∝ y

Then x = ky where k will be constant of proportional.

k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.

So,

y /x = 2.35 will be constant of propotional.

Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".

Check the picture below.

The function g(x) is a horizontal dilation of scale factor k = 5/2 of function f(x).

We know that f(x) is a linear function:

f(x) = 2x + 4

Here we know that:

g(x) = 2*(0.4x) + 4

Notice that function g(x) can be written as:

g(x) = f(0.4*x)

So we have a horizontal dilation, remember a horizontal dilation of scale factor k can be written as:

g(x) =f(x/k)

Notice that 0.4 = 2/5

Then we have a horizontal dilation of scale factor 5/2.

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The monthly profit for the company making decorative picture frames is given by the quadratic function f(p) = -93p^2 + 1,546p - 36,000, where p represents the price per frame.

The given quadratic function f(p) = -93p^2 + 1,546p - 36,000 represents the relationship between the price per frame (p) and the monthly profit (f(p)) of the company. The function is in the form of a quadratic equation, where the coefficient of p^2 is -93, the coefficient of p is 1,546, and the constant term is -36,000.

The coefficient of p^2 being negative (-93) indicates that the graph of the function is a downward-opening parabola. This means that as the price per frame increases, the profit initially increases but eventually starts decreasing.

The coefficient of p (1,546) represents the linear term, which determines the rate at which the profit changes with respect to the price. A positive coefficient implies that the profit increases linearly as the price per frame increases.

The constant term (-36,000) represents the initial profit when the price per frame is zero. In this case, it indicates that if the company gives away frames for free, it would experience a loss of $36,000 per month.

By analyzing the quadratic function and considering the coefficients, we can determine the optimal price per frame that maximizes the company's profit. This can be found by identifying the vertex (maximum point) of the parabolic graph, which corresponds to the price at which the profit is maximized.

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Answer:

A : (146-4b)=(122-1b)

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

Using the properties of logarithms we have that:

x has a value of -6/(2+log₂(3))

The points on the graph should be matched with the coordinates of the correct letter as follows;

In Mathematics and Geometry, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Based on the cartesian coordinate plane (grid) shown below, the coordinate points and quadrant should be identified as follows;

(1, 1) in quadrant I       ⇒    1 → A.

(-4, -1) in quadrant III    ⇒   3 → C.

(-3, 0)  in quadrant II   ⇒    2 → B.

(3, -2) in quadrant IV    ⇒   4 → D.

In conclusion, the coordinates of the given points are shown in the graph attached below.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The fοllοwing are the steps tο prοve that the given quadrilateral is a parallelοgram.

A parallelοgram is a quadrilateral with twο pairs οf parallel sides. Here are sοme οf the key prοperties οf parallelοgrams:

These prοperties can be used tο sοlve prοblems related tο parallelοgrams, such as finding the length οf a side, the measure οf an angle, οr the area οf the parallelοgram.

Let's assume that we have a quadrilateral with οppοsite sides equal in length and diagοnals that are perpendicular tο each οther. We need tο prοve that this quadrilateral is a parallelοgram.

Tο prοve that the quadrilateral is a parallelοgram, we need tο shοw that its οppοsite sides are parallel.

Let's cοnsider the twο diagοnals οf the quadrilateral. Since they are perpendicular, they divide the quadrilateral intο fοur right triangles.

Let's label the vertices οf the quadrilateral as fοllοws: A, B, C, and D, where AB is parallel tο CD and AD is parallel tο BC.

Frοm the prοperties οf right triangles, we knοw that the hypοtenuse is the lοngest side οf a right triangle. In each οf the fοur right triangles fοrmed by diagοnals, the diagοnal is the hypοtenuse. Therefοre, each diagοnal is lοnger than any οf the sides οf the quadrilateral.

Since οppοsite sides οf the quadrilateral are equal in length, we knοw that AB = CD and AD = BC.

Let's cοnsider the triangles ABD and BAC. We knοw that AB = CD and AD = BC, and we alsο knοw that the diagοnals are perpendicular. Therefοre, by the Pythagοrean theοrem:

\(AB^2 + AD^2 = BD^2\)

\(CD^2 + BC^2 = BD^2\)

Substituting AB = CD and AD = BC, we get:

\(AB^2 + AD^2 = CD^2 + BC^2\)

Rearranging, we get:

\(AB^2 - BC^2 = CD^2 - AD^2\)

Factοrizing, we get:

(AB + BC)(AB - BC) = (CD + AD)(CD - AD)

Since AB = CD and AD = BC, we can simplify this expressiοn:

(AB + BC)(AB - BC) = (AB + BC)(AB - BC)

Since bοth sides οf the equatiοn are equal, we can cοnclude that AB = BC, which means that οppοsite sides οf the quadrilateral are parallel.

Therefοre, we have prοven that the quadrilateral is a parallelοgram, and we are dοne.

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Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6

To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.

Given points:

Point 1: (-2, 8)

Point 2: (4, -3)

Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11

Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6

Therefore, the ratio of rise to run can be calculated as:

Ratio of rise to run = Rise / Run = -11 / 6

Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.

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Answer:

The mode is 71 and the median is 70.5.

Step-by-step explanation:

The mode is the most occurring number, meaning that 71 (occurring 3 times) is the mode. For median, you have to order the numbers least to greatest (52, 54, 54, 68, 70, 71, 71, 71, 79, 81) and find the number(s) that are in the middle. The two numbers in the middle of the set are 70 and 71. The number in between 70 and 71 is 70.5, getting you your median. I hope this helps! :)

Answer:

See below ~

Step-by-step explanation:

Given data :

68, 79, 71, 52, 71, 54, 71, 81, 54, 70

=============================================================

Place in ascending order :

⇒ 52, 54, 54, 68, 70, 71, 71, 71, 79, 81

=============================================================

Finding the mode :

⇒ The mode is the number which is most prevalent in the set

⇒ The mode is 71

============================================================

Finding the median :

⇒ Take the mean of the middle 2 terms (as there are even number of terms)

⇒ Median = 70 + 71 / 2

⇒ Median = 70.5

Answer:

2

Step-by-step explanation:

if we multiply the first equation by neg 2, the 4x's cancel out.

The method that should be selected is

2. Multiply the first equation by -2 and add the second equation.

In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.

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Answer:

\({ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7} \)

Answer:

\(x = \frac{15}{7} , \ y = - \frac{1}{7}\)

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

x = 2 - y ---------( 3 )

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       \(y =- \frac{1}{7}\)

Substitute y in ( 2 ) :

                         \(x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}\)