ayuda es para ahoritaaa​

Step-by-step explanation:

The change fro 225 to 320 is 95

95 is what percentage of 225?

95/225 x 100% = 42.2% increase

Answer:

\(\bold{ 9x = (x+35)\times 5 }\)

Step-by-step explanation:

Jim completed half of the floor in 9 hours.

Let the rate of Jim = \(x\) tiles/hr

So, number of tiles that Jim lays in 9 hours = Rate of Jim multiplied by number of hours i.e. \(9 \times x\) ..... (1)

Let \(y\) tiles/hr be the rate at which Pete lays the tiles.

As per the given question, Pete can lay 35 more tiles per hour than Jim.

i.e. \(\bold{ y =x+35}\)

It is given that half of the floor is done by Jim and other half by Pete.

So, we can say that number of tiles for both of them are equal.

Number of tiles by Pete = Rate of Pete \(\times\) Number of hours = \((x+35) \times 5\)...(2)

Now, we can equate the equations (1) and (2) because the number of tiles are same.

i.e.

The equation that we can use is:

\(\bold{ 9x = (x+35)\times 5 }\)

We can split the m-8 into 2 terms m and -8 each multiplying the next ( ) like this...

m(m+5)-8(m+5)

Now we expand

m^2+5m-8m-40

then simplify!

m^2-3m-40

Done!

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The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

\(median = \frac{9+ 10}{2} = 9.5\)

The mean of these numbers is calculated as;

\(mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07\)

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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Answer:

7

Step-by-step explanation:

Property of addition:

-2 = 2x - 16

again

14 = 2x

property of division

7 = x

x = 7

Answer:

C

Step-by-step explanation:

1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.

2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.

3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.

4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.

2 and 3 only

Main Answer: The integral ∬(curl F) · dS = 0.

Supporting Question and Answer:

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

Body of the Solution:To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Final Answer:Therefore, the value of the given integral is 0.

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The integral ∬(curl F) · dS = 0.

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Therefore, the value of the given integral is 0.

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The equation y = x + 8 can be rewritten using the distributive property as y = 1x + 8. Using the distributive property, we can break up the term "x" as the product of 1 and x.

The equation representing the distance the poodle ran is y = x + 8. To rewrite this equation using the distributive property, we can break down the x term as the product of a coefficient and a variable.

We can write x as 1 × x, which gives us:

y = 1 × x + 8

Now, using the distributive property, we can distribute the coefficient 1 to both terms inside the parentheses:

y = 1x + 1*8

Simplifying this expression, we get:

y = x + 8

The equation y = x + 8 represents the distance the poodle ran, where x is the time in seconds and y is the distance in meters. Now, we can see that the coefficient of x is 1, which means that the poodle ran a distance equal to the value of x plus 8.

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The complete question is:

You can represent the distance the poodle ran as y = x+ 8. Now rewrite the equation using the distributive property.

Answer:

the interest for 100 in 5 years us 12.5

To determine the principal argument of a complex number, we need to find the angle between the positive real axis and the vector representing the complex number in the complex plane. The principal argument is usually given within the range (-π, π].

a. For the complex number z = sin 15° + icos 15°, we can express it in exponential form as z = e^(i15°). The principal argument of this complex number is 15°.

b. For the complex number z = -sin 10° - icos 10°, we can express it in exponential form as z = -e^(i10°). The principal argument of this complex number is -10°.

In both cases, the principal arguments are the angles between the positive real axis and the vectors representing the complex numbers in the complex plane. The principal arguments give us the direction or orientation of the complex numbers in the plane.

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Answer: B. a summer dance intensive

Explanation: A summer dance intensive is a program specifically designed to provide intensive training in various dance styles and techniques. It offers a focused and immersive experience for aspiring dancers to enhance their skills, learn new choreography, and gain exposure to different dance genres, which can broaden Elisa's repertoire and help her discover new interests.. In addition, it allows for networking and performance opportunities which allows Elisa to demonstrate her new skills to an audience of fellow dancers, instructors, and industry professionals.

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

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The correct answer is C. False because Ø contains no elements so nothing can belong to it.

In the area of mathematical logic known as set theory, we study sets and their characteristics. A set is a grouping or collection of objects. These things are frequently referred to as elements or set members. A set is, for instance, a team of cricket players.

We can say that this set is finite because a cricket team can only have 11 players at a time. A collection of English vowels is another illustration of a finite set. However, many sets, including sets of whole numbers, imaginary numbers, real numbers, and natural numbers, among others, have an unlimited number of members.

False because Ø contains no elements so nothing can belong to it.

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Josue used 150 square centimeters of wrapping paper to cover the cube-shaped gift box

To determine the amount of wrapping paper used by Josue for the cube-shaped gift box, we need to calculate the surface area of the cube.

The net of the gift box consists of six squares, each representing a face of the cube. The dimensions provided in the figure show that each side of the squares is 5 cm.

Since a cube has six faces, we need to calculate the total surface area by multiplying the area of one square face by six.

The formula to find the area of a square is side length squared, so we can calculate the area of one square face as 5 cm * 5 cm = 25 cm².

Now, to find the total surface area, we multiply the area of one face by six: 25 cm² * 6 = 150 cm².

Therefore, Josue used 150 square centimeters of wrapping paper to cover the cube-shaped gift box.

It's worth noting that this calculation assumes that there is no overlap or excess wrapping paper used while wrapping the gift box. Additionally, we have assumed that the dimensions provided are accurate and refer to the side length of the squares in the net.

Overall, the amount of wrapping paper used can vary based on the wrapping technique employed and any additional decorations or folds added to the gift box.

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The amount of wrapping paper that is required is; c. 202 sq. in.

The formula for the surface area of a rectangular cuboid is given as:

SA = 2(lw + lh + hw)

where;

l = length

h = height

w = width

We are given;

Length; l = 3 in.

Width; w = 7 in.

Height; h = 8 in.

Thus, surface area is;

SA = 2((3*7) + (3*8) + (8*7))

SA = 2(21 + 24 + 56)

SA = 2(101)

SA = 202 sq. in

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Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

If there are 14 people in a club organizing a spaghetti dinner, there can be 364 ways to select 3 people to be ticket takers.

A combination is a selection of things taken from a larger group, where the order in which things are selected is unimportant. A combination is distinct from a permutation, which is a method of organizing objects in which order matters. A combination is a method of selecting things in which order does not matter. In general, the combination formula can be used to determine the number of possible combinations that exist for a given set of things.

Suppose we have to select 3 people out of 14 people. The number of possible combinations can be found using the combination formula, which is given byC(n,r) = n!/(n-r)!r!where n is the total number of objects, and r is the number of objects selected.C(14,3) = 14!/(14-3)!3!C(14,3) = (14 × 13 × 12)/(3 × 2 × 1)C(14,3) = 364Therefore, there are 364 ways to select 3 people to be ticket takers from a group of 14 people.

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Answer:

L^2 = area of square = As

As = 14 L H / 2      where L H /2 = area of triangle

L^2 = 14 L H / 2

H = L / 7    or L = 7 H

Let the length of one side of square = 7 in

As = 7^2 = 49 in^2        area of square

H = 7     height of one side of triangle (other side = 1)

Area of triangle = 7 * 1 / 2 = 7/2 in^2

14 * At = 49

Area of square 7 * 7 = 49 in^2      Seems to checkout

We can say that approximately 36.45% of the adults in the sample support the practice of changing clocks twice a year in observance of Daylight Saving Time.

The sample proportion, denoted by p-hat, is a measure of the proportion of individuals in the sample who support the practice of changing clocks twice a year in observance of Daylight Saving Time. To find p-hat, we divide the number of individuals in the sample who support the practice by the total number of individuals in the sample.

In this case, we have 113 individuals who support the practice out of a total sample size of 310. Thus, the sample proportion (p-hat) is:

p-hat = 113/310

p-hat = 0.3645 (rounded to four decimal places)

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Complete Question

Given that 1 13 out of a random sample of 310 adults indicated that they support the practice of changing clocks twice a year in observance of Daylight Saving Time, what will the sample proportion (or p) be? Please compute this value below and round your answer to three decimal places.

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer: The answer is 23 hours

Step-by-step explanation: The question tells you that Trevon earns 11.35 dollars per hour and that his total paycheck is 261.05 dollars. To find the answer you must divide what he earns per hour (11.35) from his total paycheck (261.05).

After doing the division you will find that he worked for 23 hours

a.  The probability distribution of the test statistic is approximately a standard normal distribution.

b. The p-value for the test of  factors that affect the prevalence of tuberculosis among intravenous drug users is 0.0202.  

c. We can conclude that there is a statistically significant difference between the two groups in terms of their proportions of positive skin test results.

d. The 95% confidence interval does not contain zero, so there is a statistically significant difference between the two groups in terms of their proportions of positive skin test results.

To estimate the common value of p assuming that the population proportions of positive skin test results are equal, we can compute the pooled proportion:

p-hat = (x1 + x2) / (n1 + n2)

= (24.7 + 17.4) / (97 + 161)

= 0.195

where x1 and x2 are the number of individuals with positive skin test results in the two groups, and n1 and n2 are the sample sizes.

a. To test the null hypothesis that the proportions of intravenous drug users who have positive tuberculin skin test results are identical for those who share needles and those who do not, we can use a two-sample z-test for proportions. The test statistic is:

z = (p1 - p2) / sqrt(phat * (1 - phat) * (1/n1 + 1/n2))

where p1 and p2 are the sample proportions, phat is the pooled proportion, and n1 and n2 are the sample sizes.

Plugging in the values, we get:

z = (0.247 - 0.174) / sqrt(0.195 * (1 - 0.195) * (1/97 + 1/161))

= 2.05

The probability distribution of the test statistic is approximately a standard normal distribution, since the sample sizes are large enough (both n1 and n2 are greater than 30).

b. The p-value for the test is the probability of observing a z-value of 2.05 or more extreme under the null hypothesis. From a standard normal distribution table or calculator, we find that the p-value is approximately 0.0202 (or 0.0404 for a two-tailed test).

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the proportions of intravenous drug users who have positive tuberculin skin test results are not identical for those who share needles and those who do not.

c. To construct a 95% confidence interval for the true difference in proportions, we can use the formula:

(p1 - p2) ± z* sqrt(phat * (1 - phat) * (1/n1 + 1/n2))

where z is the critical value for a 95% confidence interval from a standard normal distribution (z = 1.96).

Plugging in the values, we get:

(0.247 - 0.174) ± 1.96 * sqrt(0.195 * (1 - 0.195) * (1/97 + 1/161))

= 0.073 ± 0.090

Therefore, we can be 95% confident that the true difference in proportions of intravenous drug users who have positive tuberculin skin test results between those who share needles and those who do not is between 0.073 and -0.073 (which can be written as an absolute value of 0.073).

d.  We can infer that there is a statistically significant difference between the two groups in terms of the proportions of positive skin test results because the interval does not contain zero.

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Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

\(y = mx+b\)

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

Answer:

A. 1/3 x (8+9)

Step-by-step explanation:

When you multiply something by a fraction, you are figuring out what fraction it is of the whole. And in the diagram, it is asking for you to give the equation to figure out what 1/3 of 8+9 is, and you also have to make sure that the parentheses are there because you want to multiply 1/3 by the sum of 8+9, not by 8 and then add 9.

(hope this helps!)

Answer:

x=5

Step-by-step explanation:

\( {x}^{2} + {12}^{2} = {13}^{2} = > {x}^{2} + 144 = 169 = > {x}^{2} = 169 - 144 = > {x}^{2} = 25 = > x = 5\)

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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Answer:

450%

Step-by-step explanation:

4 1/2

1/2 = 50%

4=400%

400%+50%=450%

450%

Answer

450%

Step-by-step explanation: 4.5 × 100% = 450%