Can someone please solve this

The number of possible values for m is 3.

An integer a is its own inverse mod m if a * a^(-1) = 1 (mod m)

For the first condition, 9 is its own inverse mod m, 99^(-1) = 1 (mod m)

so 99^(-1) = 1 + km for some integer k.

so 9*9^(-1) - 1 = km

so 8 = km

so m must be a divisor of 8.

For the second condition, 3 is not its own inverse mod m, 33^(-1) ≠ 1 (mod m)

so 33^(-1) = 1 + km for some integer k, k ≠ 0

so 3(3^(-1) - 1) = km

so 3(3^(-1) - 1) = km

so 3(1 - 3^(-1)) = km

so 3(1 - 9^(-1)) = km

so 3(8 - 9^(-1)) = km

so 38 - 39^(-1) = km

so 24 - 39^(-1) = km

so 24 - 27^(-1) = km

so 24 - 27^(-1) = km

so -327^(-1) = km

so -33^(-1) = km

so -33^(-1) = km

so 33^(-1) - 1 = km

so 33^(-1) = 1 + km

so 3*3^(-1) ≠ 1 (mod m)

The only positive integers that divide 8 are 1,2,4 and 8. Out of these, only 8 is not a solution. So the number of possible values for m is 3.

Therefore, The number of possible values for m is 3.

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The greatest number of police officers needed is 28.

In a scenario where there are n straight lines in a city, and none of the lines are parallel to each other, the maximum number of police officers needed at the intersections can be determined by using the summation formula. The summation formula for the series of numbers from 1 to n-1 is (n-1) * n / 2.

Thus, if there are 8 straight lines in a city, the maximum number of police officers needed at the intersections is (8-1) * 8 / 2 = 28. This is because there will be 8-1 = 7 intersection points in total, and at each intersection point, one police officer is needed.

It's important to note that this is the maximum number of officers needed and it assumes that all lines are intersecting at different points. In case of any parallel lines this number would be less.

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The larger possible angle of sin Ф = (5/9) is 34°.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

sin Ф = 5/9

Ф = [tex]sin^{-1}[/tex] (5/9)

Ф = 33.75

This means,

Ф =33° or 34°

Thus,

The larger angle is 34°.

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Answer: a = 3, b = 1

Step-by-step explanation: There is nothing to be done except solving the equation together:

x - y = 2 => x - 2 = y (Equation 1)

x + y = 4 => 4 - x = y (Equation 2)

x - 2 = 4 - x ==> x should be 3 in this case. (a = 3)

If x or a is equal to 3, we can use this value to find y (or b).

Solving for the first equation:

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

y is equal to 1.

The per-pound cost of ham, turkey, and roast beef is $8.29, $10.5, and $14.67. Here, ham is the least expensive meat.

The ratio is defined as the relationship between two magnitudes of similar size in terms of how often the first contains the second.

The cost of 1.75 pounds of ham is given as $14. 50. Let's consider the cost per pound of ham is x and this is calculated as follows,

[tex]\begin{aligned}\frac{1.75}{\$14.50}&=\frac{1}{x}\\1.75\times x&=\$14.50\\x&=\$8.29\end{aligned}[/tex]

The cost of 2.5 pounds of turkey is given as $26. Let's consider the cost per pound of turkey as y and this is calculated as follows,

[tex]\begin{aligned}\frac{2.5}{\$26.25}&=\frac{1}{y}\\2.5\times y&=\$26.25\\y&=\$10.5\end{aligned}[/tex]

The cost of 0.375 pounds of roast beef is $5.50. Let's consider the cost per pound of roast beef as z and this is calculated as follows,

[tex]\begin{aligned}\frac{0.375}{\$5.50}&=\frac{1}{z}\\0.375\times z&=\$5.50\\z&=\$14.67\end{aligned}[/tex]

From the above values we conclude, z>y>x. So the cost of ham is the least expensive.

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Answer:

6a-2b-3c+4d

Step-by-step explanation:

2a+4a = 6a

b-3b = -2b

-c-2c = -3c

-d+5d = 4d

Answer:

6a - b - 3c + 4d

Step-by-step explanation:

⭐What is a polynomial?

Whenever you add polynomials, the only terms you can perform addition or subtraction on are like terms.

⭐What are like terms?

We are asked to add the two given polynomials. Therefore, we have to add the like terms.

[tex]2a + b - c - d + (4a - 3b - 2c + 5d)[/tex]

a and a, b and b, c and c, and d and d all have the same variable with an exponent of 1.

When adding, make sure to utilize the correct addition rules.

⭐What are the rules for adding real numbers?

2a and 4a are positive. Therefore, 2a + 4a = 6a.

-3b is negative, but b is positive. -3b > b. Therefore, -3b + b = -2b.

-c and -2c are both negative. Therefore, -2c - c = -3c.

-d is negative, but 5d is positive. 5d > -d. Therefore, -d + 5d = 4d.

∴ [tex]2a + b - c - d + (4a - 3b - 2c + 5d) = 6a -b -3c + 4d[/tex]

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Therefore , as a result the unitary method answer to the given problem is to determine the total or difference: 73.

The unitary technique is a way of problem-solving where you first calculate the amount of a single component, then multiple that value to get the answer. Simply put, a single system value is extracted from a sourced multiple using the unit method. For illustration, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. 

Here,

Given :

Devise 18 + 5 + 5 * 10 based on the given conditions. Do the math: 18 + 5 + 50 to get the product or quotient.

Determine the difference or total: 23 + 50\s=> Determine the difference or total: 73

The answer is: 73.

As a result, the unitary method's answer to the given problem is to determine the total or difference: 73.

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For the series to converge, the limit as n approaches infinity of (x + 9)n must be less than 1.

Value is an important concept in economics and business that refers to the worth of a product, service, or asset. It is a measure of the relative worth of something compared to other similar items. Value can be determined by a variety of factors, such as the quality, condition, and availability of an item. It can also be based on a customer's perception or opinion of a product or service. Values can vary from person to person, and can even change over time. Ultimately, value is a subjective concept that is determined by the beliefs and preferences of individuals.

This can be expressed as x + 9 < 1, so the values of x for which the series converges is x < -8. The sum of the series for these values of x is the geometric series:

Sum = (x + 9)1 / (1- (x + 9)) = -8.

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Using probability the value of p + q = -0.4

Probability is the likelihood of an event.

Given the Venn diagram and that the probabilities are independent events.

The probability of A or B is given by

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Also, the probability of A and B is given by P(A ∩ B) = P(A)P(B)

So, we have that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

From the Venn diagram, we have that

P(A) = p + q

P(B) = q + 0.6

P(A ∩ B) = q

P(A ∪ B) = 0.2

So, substituting these into the equation, we have that

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

0.2 = p + q + q + 0.6 -  q

0.2 = p + 2q - q + 0.6

0.2 - 0.6 = p + q

-0.4 = p + q

So, the value of p + q = -0.4

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The sides of the triangle based on the information will be 5 unit, 5 units and 6 units.

From the information, we are given that the isosceles triangle and a square have the same perimeter and we want to find the side lengths of the triangle.

It should be noted that a isosceles triangle has two sides that are equal. In this case, the perimeter of the square and Triangle is the same. The perimeter will be:

= 4 + 4 + 4 + 4

= 16 units.

Therefore, the sides of the triangle will be calculated thus:

3x + 2x + 1 + 2x + 1 = 16

7x + 2 = 16

7x = 16 - 2

7x = 14

Divide

x = 14 / 7

x = 2

The sides will be:

3x = 3 × 2 = 6

2x + 1 = 2(2) + 1 = 5

2x + 1 = 2(2) + 1 = 5

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Margin of error is 0.017 pound(approximately.)

Now, According to the question:

We know that:

Formula of margin of error :

E = [tex]z^*[/tex] × [tex]\frac{s}{\sqrt{n} }[/tex]

where:

z* = critical value for confidence interval

s= standard deviation

n= sample size.

We have:

s= 0.15 pound

n= 300

Critical value for 95% confidence = 1.96

Then, Margin of error for 95% confidence interval will be :

E = (1.96)[tex]\frac{0.15}{\sqrt{300} }[/tex]

E = 0.0169740971 ≈ 0.017

Hence, Margin of error is 0.017 pound (approximately.)

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Answer:

i think Parallel

Step-by-step explanation:

they are not perpendicular as the lines are not intersecting

they are not skewed because they go in same direction

and they are parallel because they never meet and go in same direction

A statement which best describes the system of equations include the following: A. It has one solution (–5, 5).

In Mathematics, a point of intersection is the location on a graph where two (2) lines intersect, or cross each other, which is typically represented as an ordered pair containing the point that corresponds to the x-axis and y-axis on a cartesian coordinate.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

3x - 4y = -35     ........equation 1.

3x + 4y = 5       ........equation 2.

Based on the graph (see attachment), we can reasonably and logically deduce that the given system of equations has only one true solution, and this is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-5, 5).

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Answer:

Step-by-step explanation:

A way for one of the toddler triplets to end up with their coat is if the other two toddler triplets each get one another coat.

making it a 33% chance of one of the toddler triplets to end up with their own coat.

100% divided by 3 = 0.33

There is exactly a 33% chance for one of the toddler triplets to end up with their coat.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of coat = 3

Red, green, and blue.

Now,

Each of them picks up a coat at random and goes out.

The chance of each of them getting their own coat.

= 1/3 x 100

= 33%

Thus,

There is a 33% chance that one of the toddler triplets ends up with their coat.

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Buffalo Mild Wings offers the lowest price per wing.

Lowest Price:

Demands for the lowest possible price are more commonly seen in markets with limited liquidity or low trading volume, or from traders in companies with very small market caps. This is because investors trading illiquid securities are less likely to fill buy and sell orders. Markets for less traded securities are more limited and other parties can charge prices that may not be ideal for investors. For example, investors who want to trade currency options in foreign currencies (i.e. currencies other than dollars, euros, pounds or yen) often use the lowest possible price.

According to the Question:

Given:

Buffalo Bills has 8 wings for $7.

Buffalo Mild Wings has 12 wings for $10.

Wingers has 20 wings for $17.

To Find:

Which restaurant offers the lowest price per wing?

Solution:

Find the price per wing in Buffalo Bills:

8 wings = $7

1 wing = 7 ÷ 8

1 wing = $0.875

Find the price per wing in Buffalo Mild Wings:

12 wings = $10

1 wing = 10 ÷ 12

1 wing = $0.833

Find the price per wing in Wingers:

20 wings = $17

1 wing = 17 ÷ 20

1 wing = $0.85

Now,

Comparing  $0.875 , $0.833 and $0.85:

$0.833 < $0.85 < $0.875

⇒ $0.833 is the cheapest

⇒ Buffalo Mild Wings is the cheapest

Answer: Buffalo Mild Wings offers the lowest price per wing

Complete Question:

Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Which restaurant offers the lowest price per wing?

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To find a ratio in 8th grade math, you need to divide one number by another number to get the ratio. For example, if you want to find the ratio of 10 to 8, you would divide 10 by 8 to get a ratio of 1.25.

1. Identify the two numbers you want to compare as the numerator and denominator

2. Divide the numerator by the denominator

3. The resulting answer is the ratio of the two numbers

To find a ratio in 8th grade math, divide the numerator by the denominator to get the ratio.

To find a ratio in 8th grade math, you need to divide one number by another number to get the ratio. For example, if you want to find the ratio of 10 to 8, you would divide 10 by 8 to get a ratio of 1.25.

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Answer:

800 km/h

Step-by-step explanation:

speed = distance ÷ time

=1200km ÷ 1½

=800 km/h

The angle of depression from the man to the tree will be 64.46°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A man standing on the top of a building. He knows that he is 180 ft up in the building. The tree is 86 ft from the base of the building.

The angle of the depression is calculated as,

tan θ = 180 / 86

tan θ = 90 / 43

θ = tan⁻¹ (90 / 43)

θ = 64.46°

The angle of depression from the man to the tree will be 64.46°.

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The horizontal asymptote is y = -2

What do you mean by asymptote?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity. The curves visit these asymptotes but never overtake them.

The horizontal asymptote is an equation of the form y = k, for some constant k, is a straight line parallel to x-axis.

Horizontal asymptotes are found for rational functions of polynomials when x becomes extremely large, or, as x → ∞.

The function given is, f(x) = (-2x²+3x+5)/(x²+1)

Horizontal asymptote is given by

y   = -2

So the horizontal asymptote of f(x) is, y = -2

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Answer:

C)  x = -1, y = 2

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}2x + 5y = 8\\4x + 3y = 2\end{cases}[/tex]

Multiply the first equation by -2:

[tex]\implies -2 \cdot 2x -2 \cdot 5y=-2 \cdot 8[/tex]

[tex]\implies -4x-10y=-16[/tex]

Add this to the second equation to eliminate x:

[tex]\begin{array}{crcrcr}& 4x & + & 3y & = & 2\\+&(-4x & - &10y&=&-16\\\cline{2-6}&&-&7y&=&-14\end{array}[/tex]

Solve for y:

[tex]\implies -7y=-14[/tex]

[tex]\implies \dfrac{-7y}{-7}=\dfrac{-14}{-7}[/tex]

[tex]\implies y=2[/tex]

Substitute the found value of y into one of the equations and solve for x:

[tex]\implies 2x+5(2)=8[/tex]

[tex]\implies 2x+10=8[/tex]

[tex]\implies 2x=-2[/tex]

[tex]\implies x=-1[/tex]

Therefore the solution to the given system of linear equations is:

Answer:

c

Step-by-step explanation:

just trust me

Step-by-step explanation:

the formula for the circumference of a circle is

2×pi×r

well, does this look familiar ?

our given circumference is

2×pi×sqrt(2)

so, clearly, r (radius) = sqrt(2).

the area of a circle is

pi×r²

so, for our circle that means

pi×sqrt(2)² = 2pi ft²

The final velocity and displacement after 5 seconds are 19.3m/s and 59m and the acceleration is 0.7m/s²

The equations of motion are a set of mathematical equations that describe the motion of an object in terms of its position, velocity, and acceleration. These equations are used in physics, engineering, and other fields to predict and analyze the motion of objects.

The equations are;

v = u + at ...eq(i)

v² = u² + 2as ...eq(ii)

s = ut + 1/2 at² ...eq(iii)

2.

From the first equation of motion;

v = u + at

v = 4.3 + 3(5)

v = 19.3m/s

The displacement after 5 minutes will be

From third equation of motion;

s = ut + 1/2 at²

s = 4.3 * (5) + 1/2(3)(5)²

s = 59m

1)

distance = 1.0 * 10²m

time = 12.11s

acceleration = ?

Acceleration = velocity / time

velocity = distance / time

velocity = 1.0×10² / 12.11

velocity = 8.23m/s

acceleration = velocity / time

acceleration = 8.23 / 12.11

acceleration = 0.7 m/s²

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The ratio ( m :n ) of the line segment joining the given points is calculated by using the formula x = ( mx₂ + nx₁ ) /(m+ n) and y =   ( my₂ + ny₁ ) /(m+ n) provided all the three coordinates points should be given.

As given in the question,

Therefore, the ratio divides the given segment can be calculated by the formula x = ( mx₂ + nx₁ ) /(m+ n) and y =   ( my₂ + ny₁ ) /(m+ n) .

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The point of partition of the line segment AB in the ratio 2:3 with endpoints at A(9,5) and B (4,-5) is (7,1) .

What is Partition ?

The Simple words Partition means to separate or to divide . and

we know that , the point of partition of the line segment AB in the ratio a:b , can be calculated using the formula :

[tex]P=\frac{bA+aB}{a+b}[/tex] ;

Substituting the values of end points A(9,5) and B (4,-5) and the ratio [tex]a=2[/tex] , [tex]b=3[/tex] ,

we get ;

P = [tex]\frac{3(9,5) +2(4,-5)}{2+3}[/tex] = [tex]\frac{(27,15) + (8,-10)}{5}[/tex] = [tex]\frac{(35,5)}{5}[/tex] ;

Simplifying further ,

we get ;

P = (7,1) .

Therefore , the point of partition P is (7,1) .

The given question is incomplete , the complete question is

How do I find the point that partitions the segment AB into a 2:3 ratio with endpoints at A(9,5) and B (4,-5) ?

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Answer: 20 mL of 7.5% solution and 30 mL of 20% solution

Step-by-step explanation:

Let the amount of 7.5% solution in mL be [tex]x[/tex] and the amount of 20% solution in mL be [tex]y[/tex].

Then, we know that [tex]x+y=50[/tex] (from the total amount) and that [tex]0.075x+0.20y=50(0.15)[/tex] from the concentration.

[tex]x+y=50 \implies y=50-x\\\\\therefore 0.075x+0.20(50-x)=50(0.15)\\\\0.075x+10-0.20x=7.5\\\\-0.125x=-2.5\\\\x=20\\\\\implies y=50-20=30[/tex]

Answer:

6.97%

Step-by-step explanation:

a) To work out the value of x, we can use the information given that "Marry is three times more likely to score 2 points than to score 1 point". We know that the probability of scoring 1 point is x, and the probability of scoring 2 points is 3x.

So we can set up the equation:

3x = probability of scoring 2 points

x = probability of scoring 1 point

We know that 3x = probability of scoring 2 points = 0.16

So we can solve for x by dividing both sides by 3:

x = 0.16 / 3 = 0.05333

b) To work out the probability of Mary scoring a total of 8, we can use the information from the table and the formula for the probability of a specific outcome when playing the game twice.

We know that the probability of scoring 4 points in one game is 0.21, so the probability of scoring 4 points twice is (0.21)^2 = 0.0441

We also know that the probability of scoring 2 points in one game is 3x = 3(0.05333) = 0.16, so the probability of scoring 2 points twice is (0.16)^2 = 0.0256

We can add these probabilities together to find the total probability of scoring 8 points:

0.0441 + 0.0256 = 0.0697 or 6.97%

So the probability of Mary scoring a total of 8 is 6.97%.

The equation representing the situation is y = 20.79+4x, where y is total cost and x is GB used.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Rick's Phone Service charges $20.79 for an activation fee plus $4 for every gigabyte (g) used.

If total charge for x GB used is y, then the equation to represent the situation is ;

y = 4x + 20.79

The graph of the equation is attached.

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the value of p and d are P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]] and

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]  To diagonalize a matrix A, initially the value of  eigenvalues and eigenvectors to be find. The eigenvalues of the matrix are λ = -3 and 12.

The eigenvectors for λ = -3 are obtained by the solutions to the equation given as:

(A - λI)v = 0 then,

(A + 3I)v = 0

hence

| 2 5 5 | |v1| | 0|

| 5 2 5 | . |v2| = | 0|

| 5 5 2 | |v3| | 0|

hence The solution obtained by the  equation is given by:

v1 = -v2 + v3

The eigenvectors for λ = 12 are obtained by the solutions to the equation:

(A - λI)v = 0

Which is:

(A - 12I)v = 0

Which is:

| -10 -5 -5 | |v1| | 0|

| -5 -10 -5 | . |v2| = | 0|

| -5 -5 -10 | |v3| | 0|

hence The solution obtained is :

v1 = v2 = v3

So the eigenvectors are:

v1 = [-1, 1, 1] for λ = -3

v2 = v3 = [1, 1, 1] for λ = 12

The matrix P is the matrix whose columns are of  the eigenvectors of A:

P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]]

The matrix D is the diagonal matrix whose diagonal elements are of the eigenvalues of A:

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]

therefore , A can be diagonalized as A = PDP^-1

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