10. Point W bisects segment UV. Find UV if WV = 11% inches.​

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

Answer:

D. 142 degree

Step-by-step explanation:

A triangle has 180 degree

77 + 65 = 142 degree

180 - 142 = 38 degree

38 degrees is the missing angle of the triangle. This angle must add with angle 1 outside equal to 180

180 - 38 = 142 degree

So, the answer is D

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

n term=a+(n-1)r

Step-by-step explanation:

l do not understand question clearly.

Answer:

The second one

Answer: The second one i think

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The y-intercept is the point in which the line intersects on the y-axis.

In this case, the y-intercept is (0,4), or 4.

-hope it helps

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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The descendent relation on the nodes of T is a partial order for a tree data structure T. Option A is the correct answer.

In graph theory, a tree is a connected acyclic graph, which means that it is a graph without any cycles.

The descendent relation on the nodes of a tree T is a partial order, which means that it is a binary relation that is reflexive, antisymmetric, and transitive. In other words, for any nodes u, v, and w in T, the descendent relation satisfies the following properties:

Therefore, the descendent relation on the nodes of a tree is a partial order, which is an important concept in many areas of mathematics and computer science.

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exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

15

Step-by-step explanation:

2 + 13 = 15

15( 3 ) = 45

45-35= 15

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations.

As per the given data:

Cost of one trail mix = $3.00 per pound

Cost of another trail mix = $1. 50 per pound

The grocer makes 15 lb of trail mix that costs $2.50 per pound.

Let's assume the grocer used 'A' pounds of $3.00 per pound trail mix and 'B' pounds of  $1. 50 per pound trail mix.

Total quantity of $2.50 per pound trail mix = 15 lb

Now, from the given data,

A + B = 15 ...(i)

Also, the total cost is going to remain the same.

3A + 1.5B = 15 × 2.50

3A + 1.5B = 37.5 ...(ii)

Using eq(i) A = 15 - B

Substituting in (ii):

3(15 - B) + 1.5B = 37.5

45 - 3B + 1.5B = 37.5

B = 7.5/1.5

B = 5

and A = 10

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Hence, The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

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Answer:

If each avocado costs 0.50, then 16 avocados would cost $8.00, 9 avocados would cost $4.50

Hope this helps! :)

The length and width of a rectangle with an area of 25 square meters and minimum perimeter is 5 meters by 5 meters.

In order to find the length and width of a rectangle with a given area and minimum perimeter, we need to use the formula for perimeter, which is P = 2L + 2W. We want to minimize the perimeter while still maintaining an area of 25 square meters, so we can use algebra to solve for one variable in terms of the other.
Starting with the formula for area, A = LW, we can solve for L in terms of W by dividing both sides by W: L = A/W. Then, we can substitute this expression for L into the formula for perimeter: P = 2(A/W) + 2W.


To see why this method works, we can think about what we're trying to accomplish. We want to minimize the perimeter of the rectangle while still maintaining a given area. Intuitively, this means we want to "spread out" the rectangle as much as possible while keeping the same amount of area. One way to do this is to make the rectangle as close to a square as possible, since a square has the most even distribution of length and width for a given area. In other words, if we have a fixed area of 25 square meters, the most efficient way to use that area is to make a square with side length 5 meters. To prove this mathematically, we can use the formula for perimeter and the formula for area to express one variable in terms of the other, and then use calculus to find the minimum value of the perimeter. This method gives us the same result as our intuitive approach of making the rectangle as close to a square as possible, and shows that this is indeed the most efficient use of the given area.

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the p-value for the given left-tailed test with a test statistic of z = -2.097 is approximately 0.0189. This indicates that if the null hypothesis is true, there is a 1.89% chance of observing a test statistic as extreme as or more extreme than -2.097.

The p-value for a left-tailed test with a test statistic of z = -2.097 can be found by determining the probability of observing a value as extreme as or more extreme than the given test statistic under the null hypothesis. To find the p-value, we look up the corresponding area in the left tail of the standard normal distribution.

Using a standard normal distribution table or a statistical software, the p-value corresponding to a test statistic of z = -2.097 is approximately 0.0189 when rounded to four decimal places. This means that the probability of observing a test statistic as extreme as or more extreme than -2.097, assuming the null hypothesis is true, is approximately 0.0189 or 1.89%.

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When the sine function  sinθ = 0.5126 then the angle θ  is 30.001°

Given sinθ = 0.5126

We have to find the value of θ or the angle θ.

We know that the sine function is a ratio of opposite side and hypotenuse.

As given value sinθ = 0.5126

To find θ value, we take sin⁻¹ on both sides of the equation.

sin⁻¹(sinθ)=sin⁻¹(0.5126)

On left side the sine and its inverse will be cancelled and left with angle θ.

Now θ = sin⁻¹(0.5126)

To find the value of sin⁻¹(0.5126), you can use the inverse sine function or arcsin function.

θ = 30.001°

Hence, when the sine function  sinθ = 0.5126 then the angle θ  is 30.001°

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Manipulating temperature in a room to study its impact on task performance involves categorizing the various temperature conditions as the "levels" of the variable.

In experimental research, when investigating the influence of temperature on task performance, researchers manipulate and control the temperature to create different conditions or levels. These temperature levels serve as the independent variable in the study. By systematically altering the temperature, researchers can observe and analyze how variations in temperature affect participants' performance on the given tasks. This experimental design allows researchers to identify patterns, trends, and potential causal relationships between temperature and task performance. Understanding the different temperature conditions or levels in such studies helps researchers learn about the nuanced impact of temperature on human performance and potentially inform practical applications in various settings, such as optimizing work environments or designing effective learning spaces.

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Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms

  = 5x² + 36x + 7

to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = 36

the factors are + 35 and + 1

use these factors to split the x- term

5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )

= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term

= (x + 7)(5x + 1) , then

P = (x + 7)(5x + 1) ← in factored form

a)  The M appearing to the left of all the vowels can be arrangments done in one way.

b) The first P appearing before the first L can be done in 3 arrangements.

a) The M appearing to the left of all the vowels.

First, we need to check how many instances of 'M' available in the word.

There is only one instance of 'M' available at 7th Location in the word and we need to check whether 'M' is appearing left of Vowel.

'M' is appearing before vowel 'I'.

Thus, the letter 'M' appearing to the left of all the vowels can be arranged 1 time.

b)The first P appearing before the first L.

We need to check how many instances of 'P' available in the word.

There are 3 instances os word 'P' appearing in the word and the first 'L' is at 9th Position.

Before that 3 'P's are there at 1st,3rd, and 4th Location.

Thus, The first P appears before the first L can be done in 3 arrangements.

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Answer: 11

Step-by-step explanation:

Answer:

443.666

Step-by-step explanation:

because i used a caulculator boiiiiiiii

The college graduate's new net worth is given as follows:

$13,833.

The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.

The assets if the student are given as follows:

The liabilities of the student are given as follows:

Thus the student's net worth is calculated as follows:

(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.

Which is closest to the third option among those given.

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Answer:

the correct answer is 12057

Step-by-step explanation:

in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details

heres an UNRELATED TO THE QUESTION example:

i have...

$500 in my savings

$20 in my wallet

but im $200 deep in credit card debt..

(add 500 + 20, then subtract 200)

net worth: 320

Answer:

Left black

\( x < 13\)

Right black

\(x \geqslant 7\)

Blue

\(x \leqslant 1\)

Red

\(x > 2\)

Step-by-step explanation:

NOTES:

bold arrow means (less than or equal to OR more than or equal to

\( \leqslant \: or \: \geqslant \)

thin arrow mean (less than OR more than)

\( < \: or \: > \)

AND you can also put any alphabet to represent unknown

thats it hope this helps :)

Answer:  -2.25

Step-by-step explanation:

We plug in the numbers.

\(\frac{3xy}{2z}\\= \frac{3(2)(-3)}{2(4)}\\= \frac{-18}{8}\\= -2.25\)

Step-by-step explanation:

Given

slope (m) = - 2/ 3

Y-intercept (c) = - 4

Now writing in Slope intercept form

y = mx + c

y =( - 2/3) x - 4

Hope it will help :)

Answer:

-2 power.

Step-by-step explanation:

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

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In triangle ABC, Length of DE = (a*x)/(b+c). We can use similarity of triangles  to to get the proportion between corresponding sides.

Similarity of triangles can help us to relate the lengths AB, DE, BE, and EC.

Now, since, DE =  (a*x)/(b + c) in terms of a, b and c(given).

Now, we can relate the corresponding sides of triangle ABC and ADE.

The denominator (b + c) is equal to the sum of the lengths BE and EC.

Therefore, to express x in terms of a, b, c when in triangle ABC, DE || AB, and AB = a, DE = x, BE = b and EC = c.

DE = (a*x)/(b + c).

This question uses similarity of triangles which is a geometric concept. It helps us to correspond two triangles with different shapes and sizes, and when two triangles are similar their ratios of lengths is proportional to each other.

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The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

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