Prove: If A and B are m × n matrices such that Ax = Bx for all x ∈ R
n, then A = B.

The value of the expression "A- 2--0.5x47" is 25.5.

Using the order of operations (PEMDAS) we first simplify the multiplication before subtracting from 2:

2 - (-0.5 x 47)

= 2 - (-23.5)

When subtracting a negative number, we can think of it as adding the positive value. Therefore, we can rewrite the expression as:

2 + 23.5

= 25.5

Therefore, the value of the expression "A- 2--0.5x47" is 25.5.

In conclusion, to determine whether a given value is a solution to an equation, we need to know what the equation is. However, given an expression, we can simplify it and then substitute a value for the variable to determine whether it is a solution.

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Question

which value is a solution  A- 2-( -0.5x47)

The requried domain and range of the given graph are a set of all real values i.e. (-∞, ∞).

Consider the given figure,
The domain is said to be the values of the set of dependent variables, in the given case the value on the x-axis, represents the domain.
The domain is given as all real value i.e. (-∞, ∞)

Similarly, the range is represented by the y-axis and given as (-∞, ∞).

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The amount of paint needed to cover the walls of a room, you can use the area of the walls to estimate the amount of paint required.

The area of a two-dimensional shape is the amount of space inside its boundaries, while the perimeter is the length of its outer edge.

These concepts are often related, as the perimeter of a shape can be used to calculate its area.
For example, consider a square with sides of length 5cm.

The perimeter of the square would be 4 x 5cm = 20cm, while the area would be 5cm x 5cm = 25cm².

We can see that the area is greater than the perimeter, as there is more space inside the square than around its edges.
Another way that area and perimeter can be related is through similar shapes. Similar shapes have the same shape, but different sizes.

For example, a small square and a large square are similar shapes, but the large square has longer sides and therefore a larger area and perimeter.

The ratio of the areas of two similar shapes is equal to the square of the ratio of their corresponding side lengths.

Similarly, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.
Understanding the relationship between area and perimeter can be helpful in a variety of situations.

For example, if you need to calculate the amount of fencing needed to enclose a rectangular garden, you can use the perimeter of the garden to determine the length of the fencing required.
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Answer: the answer  of mab is 72 degrees.

Answer:

146°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

73° = (1/2)m(arc)AB

Multiply both sides by 2.

2 × 73° = 2 × (1/2) × m(arc)AB

m(arc)AB = 146°

The probability that at least six hamburgers are contaminated in a random sample of 10 hamburgers is approximately 0.2 or 20%

We can approach this problem using the binomial distribution, where:

n = 10 (the sample size)

p = 0.25 (the probability of a hamburger being contaminated)

q = 1 - p = 0.75 (the probability of a hamburger not being contaminated)

We want to find the probability that at least six hamburgers are contaminated, which can be expressed as:

P(X ≥ 6) = P(X = 6) + P(X = 7) + ... + P(X = 10)

where X is the number of contaminated hamburgers in the sample.

Using the binomial probability formula, we can calculate each individual probability:

P(X = b) = (n choose b) x pᵇ x q⁽ⁿ⁻ᵇ⁾

where (n choose k) represents the number of ways to choose k items from a set of n items, and is calculated as:

(n choose k) = n! / (k! x (n-k)!)

Using a calculator or software, we can find each individual probability and sum them up to get the total probability:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

= (10 choose 6) x 0.25⁶ x 0.75⁴ + (10 choose 7) x 0.25⁷ x 0.75³ + (10 choose 8) x 0.25⁸ x 0.75² + (10 choose 9) x 0.25⁹ x 0.75¹ + (10 choose 10) x 0.25¹⁰ x 0.75⁰

= 0.0197

= 0.02

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If 0 < θ < [tex]360^0[/tex] and sin θ = 0.3097, then θ is approximately [tex]24^0[/tex].

In order to find the value of θ given sin(θ) = 0.3907, we can use the inverse sine function, also known as arcsine or [tex]sin^{(-1)[/tex].

Using a scientific calculator or trigonometric tables, we can find the inverse sine of 0.3907:

θ= sin^(-1)(0.3907)

θ ≈ 23.576 degrees

Since 0 < θ < 360 degrees, we can conclude that θ is approximately 24 degrees.

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The coefficient of a²b² in the expansion of (2a - b)⁴ is 24

From the question, we have the following parameters that can be used in our computation:

(2a - b)⁴

When the expression is expanded, we have

(2a-b)⁴ = (2a-b)(2a-b)(2a-b)(2a-b)

So, we have

(2a-b)⁴ = 16a⁴ - 32a³b + 24a²b² - 8ab³ +b⁴

Consider an expression ax where the variable is x

The coefficient of the variable in the expression is a

Using the above as a guide, we have the following:

The coefficient of a²b² in the expansion is 24

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P(z<2.04) is approximately 0.9793 or 97.93% (rounded to two decimal places).

We can use a table or a calculator that offers the cumulative distribution function (CDF) of the standard normal distribution to determine the area under the standard normal curve below a specified value of z.

The chance that a standard normal random variable is less than or equal to a specified value is provided by the CDF.

In this case, we want to find the value of P(z<2.04), which represents the probability that a standard normal random variable is less than 2.04. Using a table or a calculator, we can look up the value of the CDF at z = 2.04, which is approximately 0.9793.

Therefore, we can say that the value of P(z<2.04) is approximately 0.9793, or about 97.93% (rounded to two decimal places).

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The limit as n approaches infinity of ((n+1)⁶-(n-1)⁶)/((n+1)⁵+(n-1)⁵) is 6.

To evaluate the limit as n approaches infinity of the expression ((n+1)⁶-(n-1)⁶)/((n+1)⁵+(n-1)⁵), we can simplify it using algebraic manipulations.

Let's expand the numerator and denominator using the binomial:

Numerator:

((n+1)⁶-(n-1)⁶) = [n⁶ + 6n⁵ + 15n⁴ + 20n³ + 15n² + 6n + 1] - [n⁶ - 6n⁵ + 15n⁴ - 20n³ + 15n² - 6n + 1]

= 12n⁵ + 40n³ + 12n

Denominator:

((n+1)⁵+(n-1)⁵) = [n⁵ + 5n⁴ + 10n³ + 10n² + 5n + 1] + [n⁵ - 5n⁴ + 10n³ - 10n² + 5n - 1]

= 2n⁵ + 20n³ + 2n

Now, let's simplify the expression by canceling out common terms:

((n+1)⁶-(n-1)⁶)/((n+1)⁵+(n-1)⁵) = (12n⁵ + 40n³ + 12n) / (2n⁵ + 20n³ + 2n)

As n approaches infinity, we can see that the highest power of n in the numerator and denominator is n⁵.

We can divide all terms by n⁵ to determine the limit:

lim(n→∞) [(12n⁵ + 40n³ + 12n) / (2n⁵ + 20n³ + 2n)]

= lim(n→∞) [(12 + 40/n² + 12/n⁴) / (2 + 20/n² + 2/n⁴)]

= 12/2

= 6

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The probability of drawing an orange marble and a blue marble without replacement is:P(Orange and Blue without replacement) = (3/10) * ((N - 4) / (N - 1))

The probability of drawing an orange marble and a blue marble without replacement, we need to consider the total number of marbles and the number of desired outcomes.

Let's assume we have a bag of marbles containing both orange and blue marbles. The total number of marbles in the bag is not given, so we'll consider it as an unknown value, denoted as N.

First, we need to calculate the probability of drawing an orange marble on the first draw. Since there is no replacement, the probability of drawing an orange marble on the first draw is given by the ratio of the number of orange marbles to the total number of marbles:

P(Orange on first draw) = Number of orange marbles / Total number of marbles

Next, after the first marble is drawn, the bag will contain one less marble, and the number of orange marbles and blue marbles will change accordingly. Assuming we drew an orange marble on the first draw, the number of orange marbles will decrease by 1, and the total number of marbles will decrease by 1.

Now, we need to calculate the probability of drawing a blue marble on the second draw, given that an orange marble was drawn on the first draw. The probability is calculated as:

P(Blue on second draw | Orange on first draw) = Number of blue marbles / Total number of marbles after the first draw

Since there is no replacement, the total number of marbles after the first draw is N - 1.

Finally, to find the probability of drawing an orange marble and a blue marble without replacement, we multiply the probabilities of the two events:

P(Orange and Blue without replacement) = P(Orange on first draw) * P(Blue on second draw | Orange on first draw)

To simplify the calculation, we can substitute the given values:

P(Orange on first draw) = 3/10 (assuming there are 3 orange marbles out of 10 marbles in total)

P(Blue on second draw | Orange on first draw) = (N - 4) / (N - 1) (assuming there are N - 4 blue marbles left in the bag after drawing an orange marble)

Therefore, the probability of drawing an orange marble and a blue marble without replacement is:

P(Orange and Blue without replacement) = (3/10) * ((N - 4) / (N - 1))

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Answer:

Area of circle = pi×r²

Where, pi =22/7 or 3.142

r = 8cm

Area =22/7 × 8²

=201.142

Approximately 201 to the nearest whole number

You're welcome

The linear regression equation that best fits the data is y = 3.04x + 5.8.

Using a graphing calculator, we can plot the data points and find the linear regression model that best fits the data.

The linear regression equation that best fits the data is

y = 3.04x + 5.8.

Therefore, the answer is: y=3.04x+5.8.

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Answer:

BC is 32 cm

Step-by-step explanation:

The required expression is 10000x[tex](1.1)^{t}[/tex]/(45 + 4t).

The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:

s(t) = 10000x[tex](1.1)^{t}[/tex]

And the expression representing the number of classrooms in the town of Emor, t years from 2000 is:

C(t) = 450 + 4t

The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.

Then the average number of students per classroom can be computed by:

Average number of students/classroom = Number of students/Number of classrooms

D(t) = s(t)/c(t)

      = 10000x[tex](1.1)^{t}[/tex]/(45 + 4t)

Thus,

The formula = 10000x[tex](1.1)^{t}[/tex]/(45 + 4t).

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The expressions that are equivalent to the one below  is [tex]2 ^{(5+x) }[/tex], option C.

Based on the definition of power multiplication properties, The Product of Powers Property serves as one that stressed that in a cae wehereby we are multiplying two exponents with the same base, then the exponents  can be multiplied and keep the base.

It shoud be noted that when  want to simplify the expressions [tex]2x^4[/tex]by [tex]6x2[/tex] , the base wil will be kept whereby  we add the exponent.

The given expression is [tex]2^5.2^x[/tex], which can be simplified as;

= [tex]2^5.2^x[/tex]

=[tex]2 ^{(5+x) }[/tex]

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The exponential equation of log(x+4) (x²+3x-7) =3 is x²+3x-7 = (x+4)³

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form a^x=b^y.

To solve exponential equations with same base, use the property of equality of exponential functions .

The law of logarithm states;

If loga b = x

b = a^x

Using the rule;

log(x+4) (x²+3x-7) = 3

x²+3x-7 = (x+4)³

therefore the exponential equation of log(x+4) (x²+3x-7) = 3 is x²+3x-7 = (x+4)³

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The absolute increase from the younger group to the older group is 59.9% - 14.3% = 45.6%. Rounding to the nearest point, the answer is 46 points.

The absolute increase is the difference between two values, regardless of the direction of change. In this case, we want to find the absolute increase in the percentage of people who vote from the younger group (20-25 years old) to the older group (60-65 years old).

To find the absolute increase, we subtract the percentage of people who vote in the younger group from the percentage of people who vote in the older group, taking the absolute value of the result.

So, the absolute increase in the percentage of people who vote from the younger group to the older group is:

|59.9% - 14.3%| = 45.6%

This means that the percentage of people who vote in the older group is 46 percentage points higher than the percentage of people who vote in the younger group.

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Answer:

9a-2=7

Step-by-step explanation:

4a+ 5a-2=5+3-1

To simplify each side, combine like terms.

4a+5a = 9a

5+3-1 = 7

The equation becomes:

9a-2=7

The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

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The equation of line is y = -x - 9 which passes through the point Z(-4,-5)

Given data ,

To graph the line with a slope of -1 passing through the point (-4, -5), we can use the point-slope form of a linear equation:

Now , the value of A is

Let the line passes through the point P ( -4 , -5 )

The slope which is the rate of change is is m=-1

y-y₁ = m(x-x₁)

On simplifying , we get

y-(-5) = (-1)(x+4)

Expanding the brackets:

y + 5 = -x - 4

y = -x - 9

Now we have the equation in slope-intercept form. To graph the line, we can plot the given point (-4, -5) and use the slope to find additional points.

Hence , the equation of line is y = -x + 1

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The product of [tex]2\frac{4}{5}[/tex] yards, 2 yards, and [tex]\frac{3}{5}[/tex] yards comes out to be [tex]16\frac{4}{5}[/tex] yards.

Firstly we have to convert the mixed fraction into the improper fraction.

1. We multiply the denominator and the whole number

2. To the product add the numerator to get the numerator of the fraction

3. The denominator remains the same.

[tex]2\frac{4}{5}[/tex] = 2 * 5 + 4 / 5 = 14/5

To multiply the fractions:

1. We multiply the numerators to get the numerator

2. Similarly the product of the denominator is the denominator

3. We simplify the resultant fraction

= 14/5 * 2 * 3/5 = 84/5

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Answer:

The North American Free Trade Agreement (NAFTA) among the United States, Canada and Mexico went into effect on January 1, 1994. It is the first trade agreement the United States has entered into with a geographically-close developing country and has raised concerns about its economic effect, particularly on U.S. communities and workers. Since the mid-1980s, when Mexico began reducing trade restrictions, the U.S. and Mexican economies have become more highly integrated. This is evidenced by the rapid growth in U.S. merchandise trade with Mexico, which is now 12% of all U.S. trade

Step-by-step explanation:

Step-by-step explanation:

One complete revolution is one circumference

circumference of a circle is found using the formula  circumf = pi * d

so    308 m = pi * d   or

                  308 m / pi = diameter = 98 m   (a VERY large bicycle wheel!)

Answer:

Corresponding angles is the answer to your question

From the calculation and based on the Least common multiples, , we can tell that Maria del Carmen has a total of 36 stickers

The least common multiple is of a set of numbers is the least multiple that they have in common and is obtained by decomposing each number into prime factors and taking common and uncommon factors with their greatest exponent.

Then we break down each number to know how much is the minimum that Maria del Carmen has:

2 = 2

4 = 2*2 = 2²

6 = 2*3

9 = 3*3 = 3²

12 = 2*2*3 = 2²*3

18 = 2*3*3 = 2*3²

LCM = 2²*3² = 4*9 = 36

Now this number is between 30 and 50: so Maria del Carmen has 36 stickers

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Full Qustion:

Maria del carmen colecciona cromos de animales;tiene mas de 30 y menos de 50.los quiere organizar en un album de manera q en cada pagina guarde el mismo numero de cromos.si puede ubicar 2,4,6,9,12 o 18 cromos en cada pagina ¿cuantos cromos tiene maria del carmen?

Translation:
Maria del Carmen collects animal stickers; she has more than 30 and less than 50. She wants to organize them in an album so that on each page she keeps the same number of stickers. If she can locate 2,4,6,9,12 or 18 Stickers on each page. How many stickers does Maria del Carmen have?

Answer:

  C.  18/48 and 21/56

Step-by-step explanation:

You want to identify pairs of ratios that are proportional.

Ratios are proportional when they have the same value. We can check whether the values are the same by reducing each ratio to lowest terms.

The attached calculator display shows the proportional ratios are ...

  18/48 and 21/56 . . . . choice C

__

Additional comment

Both of these reduce to 3/8. You can remove a factor of 6 from the numbers of the first ratio, and a factor of 7 from the numbers of the second ratio to reduce both of them to 3/8.

<95141404393>

Answer: C.  18/48 and 21/56

Step-by-step explanation:  Hope it helps

Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.

We have,

Let's start by setting up an equation to represent the situation:

Profit = Revenue - Cost

We know that Peter's profit is $49, and we can find the revenue by multiplying the number of hours by the hourly rate:

Revenue = Hourly rate x Number of hours

The hourly rate is $4, and the cost includes the initial fee of $25 plus the hourly cost:

Cost = Initial fee + Hourly rate x Number of hours

Now we can substitute these equations into the profit equation and solve for the number of hours:

$49 = ($4 x Number of hours) - ($25 + $4 x Number of hours)

$49 = $4 x Number of hours - $25 - $4 x Number of hours

$49 + $25 = $4 x Number of hours - $4 x Number of hours

$74 = $4 x Number of hours

Number of hours = $74 / $4

Number of hours = 18.5

Thus,

Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.

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The additional reason will be JK/PQ = KL/QR.

Option C is correct.

Given that are two triangles, ΔJKL and ΔPQR, where ∠K ≅ ∠Q, we need to determine a reason to show ΔJKL and ΔPQR are similar,

So, we know that the similar triangles have congruent corresponding angles and corresponding sides are in equal ratio,

So, from the options if we take JK/PQ = KL/QR we can prove that the triangles are similar by SAS rule.

Hence the option C is correct.

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Answer: Trust me I don't know either

Step-by-step explanation:

For asking questions about whatever in life I guess

1. The best equation for circle A is (x + 4)² + (y + 2)² = 9. Option D

2. The equation of the circle with coordinates (1, 1) (1, 11) is (x - 1)² + (y - 6)² = 25. Option A

1. For the equation of circle A, we can pick out the coordinates we see.

Circle A has its midpoint at (-4, -2) and its edges at (-4, 1) and (-4, -5).

The equation of a circle in a plane is (x - h)² + (y - k)² = r²

the circle has a radius of 3 units (from -2 to 1 or from -2 to -5)

(x - (-4))² + (y - (-2))² = 3²

when we simplify, it becomes (x + 4)² + (y + 2)² = 9

2. The equation of a circle with diameter AB. A (1, 1), B(1, 11) is

h = (x₁ + x₂)/2 ⇒(1 + 1)/2 = 1

k = (y₁ + y₂)/2⇒ (1 + 11)/2 = 6

the center of the circle is at (1, 6).

A and B which are (1, 1) and (1, 11), it's clear that the diameter is 10 units (11 - 1). Thus, the radius is 5 units.

(x - h)² + (y - k)² = r²

Substituting the obtained values we get

(x - 1)² + (y - 6)² = 5²

which becomes

(x - 1)² + (y - 6)² = 25

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