can someone help me with this thank you

Answer:

x represents jerseys, y represents hats

x= $62 y=$15

Step-by-step explanation:

Now I used a matrix (linear algebra), but I think elimination is better for you

So the idea of elimantion is so that both side have one variable that is the same

so we know that the equations are

4(24 x + 15y = 1713)

-5(5x + 12x = 490)

Multiply first equation by 4 and second equation by -5

If two of the varblies have opposite signs it means you are adding, but its subtracting if they have the same signs!

   96x+60y=6852

+   −25x−60y=−2450

       71x + 0y =4402

71x/71 = 4402/71

x= 4402/71

x=62

Now that we know this, we can plug into any other the orignial equation of x to get y.

I'll use the first one

24x+15y=1713

substitute 62 for x  

(24)(62)+15y=1713

15y+1488=1713(Simplify both sides of the equation)

bring 1488 to the other side (swaps signs)

15y= 1713−1488

15y=225

15y/15 = 225/15

y= 15

Therefore, x= 62 and y= 15 or cost of the jerseys is $62 each and cost of hats is $15 each.

Answer:

A.

Step-by-step explanation:

In the attached file

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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ggg

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

The bead is replaced

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

P ( green, replace, green) =P( green) * P ( green)

                                           = 3/4 * 3/4

                                            = 9 /16

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer: I think tHt is not because if they were to be 5 pants then it would be reaseanoble

Step-by-step explanation:

Answer:

no its not

hope that helped :)

We can cancel y^-7 up with y^-7 down

Because in the division with power we subtract the power of the same base

So 7^-1/7^-1 = 7^(-1)-(-1) = 7^(-1+1) = the 7^(0) = 1

Now let us add the powers of x because in multiplication we add the power of same base

x^7 * x^8 = x^(7 + 8) = x^15

The answer is 1/x^(15)

The first answer

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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A=0.1563

B=0.3711

C=0.2148

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 ≤ 0

(x - 6)(x - 6) ≤ 0

(x - 6)² ≤ 0

x - 6 = 0

x = 6

es el único valor que cumple la condición, cualquier otro sera mayor que 0

Answer:

$127.50

Hope this helps:)

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

6

Step-by-step explanation:

5+8+6+5+10+7+1=42

42/7=6

A rather lengthy solution using a neat method I just learned relying on complex analysis.

First observe that

\(e^{-x^2} \cos(2x^2) = \mathrm{Re}\left[e^{-x^2} e^{i\,2x^2}\right] = \mathrm{Re}\left[e^{a x^2}\right]\)

where \(a=-1+2i\).

Normally we would consider the integrand as a function of complex numbers and swapping out \(x\) for \(z\in\Bbb C\), but since it's entire and has no poles, we cannot use the residue theorem right away. Instead, we introduce a new function \(g(z)\) such that

\(f(z) = \dfrac{e^{a z^2}}{g(z)}\)

has at least one pole we can work with, along with the property (1) that \(g(z)\) has period \(w\) so \(g(z)=g(z+w)\).

Now in the complex plane, we integrate \(f(z)\) along a rectangular contour \(\Gamma\) with vertices at \(-R\), \(R\), \(R+ib\), and \(-R+ib\) with positive orientation, and where \(b=\mathrm{Im}(w)\). It's easy to show the integrals along the vertical sides will vanish as \(R\to\infty\), which leaves us with

\(\displaystyle \int_\Gamma f(z) \, dz = \int_{-R}^R f(z) \, dz + \int_{R+ib}^{-R+ib} f(z) \, dz = \int_{-R}^R f(z) - f(z+w) \, dz\)

Suppose further that our cooked up function has the property (2) that, in the limit, this integral converges to the one we want to evaluate, so

\(f(z) - f(z+w) = e^{a z^2}\)

Use (2) to solve for \(g(z)\).

\(\displaystyle f(z) - f(z+w) = \frac{e^{a z^2} - e^{a(z+w)^2}}{g(z)} = e^{a z^2} \\\\ ~~~~ \implies g(z) = 1 - e^{2azw} e^{aw^2}\)

Use (1) to solve for the period \(w\).

\(\displaystyle g(z) = g(z+w) \iff 1 - e^{2azw} e^{aw^2} = 1 - e^{2a(z+w)w} e^{aw^2} \\\\ ~~~~ \implies e^{2aw^2} = 1 \\\\ ~~~~ \implies 2aw^2 = i\,2\pi k \\\\ ~~~~ \implies w^2 = \frac{i\pi}a k\)

Note that \(aw^2 = i\pi\), so in fact

\(g(z) = 1 + e^{2azw}\)

Take the simplest non-zero pole and let \(k=1\), so \(w=\sqrt{\frac{i\pi}a}\). Of the two possible square roots, let's take the one with the positive imaginary part, which we can write as

\(w = \displaystyle -\sqrt{\frac\pi{\sqrt5}} e^{-i\,\frac12 \tan^{-1}\left(\frac12\right)}\)

and note that the rectangle has height

\(b = \mathrm{Im}(w) = \sqrt{\dfrac\pi{\sqrt5}} \sin\left(\dfrac12 \tan^{-1}\left(\dfrac12\right)\right) = \sqrt{\dfrac{\sqrt5-2}{10}\,\pi}\)

Find the poles of \(g(z)\) that lie inside \(\Gamma\).

\(g(z_p) = 1 + e^{2azw} = 0 \implies z_p = \dfrac{(2k+1)\pi}2 e^{i\,\frac14 \tan^{-1}\left(\frac43\right)}\)

We only need the pole with \(k=0\), since it's the only one with imaginary part between 0 and \(b\). You'll find the residue here is

\(\displaystyle r = \mathrm{Res}\left(\frac{e^{az^2}}{g(z)}, z=z_p\right) = \frac12 \sqrt{-\frac{5a}\pi}\)

Then by the residue theorem,

\(\displaystyle \lim_{R\to\infty} \int_{-R}^R f(z) - f(z+w) \, dz = \int_{-\infty}^\infty e^{(-1+2i)z^2} \, dz  = 2\pi i r \\\\ ~~~~ \implies \int_{-\infty}^\infty e^{-x^2} \cos(2x^2) \, dx = \mathrm{Re}\left[2\pi i r\right] = \sqrt{\frac\pi{\sqrt5}} \cos\left(\frac12 \tan^{-1}\left(\frac12\right)\right)\)

We can rewrite

\(\cos\left(\dfrac12 \tan^{-1}\left(\dfrac12\right)\right) = \sqrt{\dfrac{5+\sqrt5}{10}}\)

so that the result is equivalent to

\(\sqrt{\dfrac\pi{\sqrt5}} \cos\left(\dfrac12 \tan^{-1}\left(\dfrac12\right)\right) = \boxed{\sqrt{\frac{\pi\phi}5}}\)

Answer:

A is the answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

x = 16

y = 14

Step-by-step explanation:

The figure is a parallelagram.

That means that the diagonals bisect each other.

x = y + 2                  Subtract 2 from both sides

x - 2 = y                   Switch

y = x - 2

y + 10 = 2x - 8         Subtract 10 from both sides

y = 2x - 8  - 10

y = 2x - 18

Now the ys have to be equal so equate the right side of each equation.

2x - 18 = x - 2          Add 18 to both sides

2x = x - 2 + 18

2x = x + 16               Subtract x from both sides

2x - x = 16

x = 16

y = x - 2

y = 16 - 2

y = 14

Answer: 40.27

Step-by-step explanation:

Let their September bill be x

Therefore, the October bill will be = x - 3.87.

Therefore, the addition of both bills will be:

x + (x - 3.87) = 237.75

x + x - 3.87 = 237.75

2x - 3.87 = 237.75

2x = 237.75 + 3.87

2x = 241.62

x = 241.62/2

x = 120.81

Therefore, September bill was 120.81

Since the 3 students share the bull equally, the amount owed by each will be:

= 120.81 / 3

= 40.27

Each person owes 40.27

The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.

Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.

Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.

By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.

Let's check this using division algorithm.

Dividend = 3x³ - 5x² - 23x + 24

Divisor = x - 3

Quotient = 3x² + 4x - 11

Remainder = -9

By division algorithm,

Dividend = (Divisor × Quotient) + Remainder

3x³ - 5x² - 23x + 24  = [(x - 3) (3x² + 4x - 11)] + -9

                                 = [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9

                                 = 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9

                                 = 3x³ - 5x² - 23x + 24

Hence -9 is the remainder of this division process.

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Answer:

32

Step-by-step explanation:

Imagine someone is trying to put tiles on a bathroom floor - this is the situation in this question. "tiles needed to fit across the length" is asking how many 25cm tiles can fit in the length of the bathroom, which is 8m.

To do this, we need to do some conversion.

8m to cm = 800cm

800 ÷ 25 = 32

This means 32 tiles are needed to fit across the length of the bathroom floor.

-

Hope this makes sense!

- profparis

Answer: 0.4255

Step-by-step explanation:

Given:  IQ scores of adults, and those scores are normally distributed

Mean: \(\mu=100\)

Standard deviation: \(\sigma= 15\)

Let X denotes the IQ of a random adults.

The area between 102 and 130 = \(P(102<X<130)=P(\dfrac{102-100}{15}<\dfrac{X-\mu}{\sigma}<\dfrac{130-100}{15})\)

\(=P(0.13<Z<2)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<0.13)\\\\=0.9772- 0.5517\ [\text{By z-table}]\\\\=0.4255\)

Hence, area between 102 and 130 = 0.4255

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

The greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.

What is velocity?

Velocity is a measure of the rate of change of an object's position over a period of time. It is a vector quantity, which means it has both magnitude (or size) and direction. Velocity is usually expressed in terms of distance traveled per unit of time, such as meters per second (m/s). Velocity can be determined by dividing the distance traveled by the time taken. For example, if an object travels 20 meters in 5 seconds, its velocity would be 4 m/s. Velocity can also be calculated by taking the derivative of the object's position with respect to time.

The particle will achieve its greatest positive acceleration at the midpoint of the interval, at t = b/2.

This is because the acceleration is greatest when the velocity is changing most rapidly.

At the beginning of the interval, the particle has zero velocity, so it has no acceleration.

At the end of the interval, the particle has reached its maximum velocity, and the rate of change of velocity is zero, so it has no acceleration. Therefore, the greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.

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Answer:

given;

previous year price of gas= $4.35

price of gas has been increased by 30%

now,price of gas in present year=?

we have;

price of gas in present year=priceof

previous year+30%of price of previous year.

so ,price of gas in present year=4.35+30%of4.35

=$4.35+30/100×4.35

=$4.35+1.305

= $5.655. ans....

therefore, the price of gas in present year is ;$5.655.