[tex]\int\limits^3_2 2{x} \, dx* \frac{3x}{2}[/tex]

The Slope of the line is 1.

The slope of a line is a numerical value that shows the stiffness or direction of the line. The formula used to find the Slope of the line is given by  

Where (x₁, y₁) and (x₂, y₂) are pairs of points that pass through the line.

Here we have

The pair of points (-6, -5) and (-4, -3)

By using the formula,

The slope of the line = [ y₂ - y₁] / [ x₂ - x₁]

= [ -3 - (-5) ] / [ -4 - (-6) ]

= [ -3 + 5 ]/ [ -4 + 6 ]

= [ 2/2] = 1

Therefore

The Slope of the line is 1.

Learn more about Slope of line at

https://brainly.com/question/29149364

#SPJ1

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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

y= 4x^(3/2)+x^(1/2)

Using the first principle of differentiation, we have

dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)

Evaluate the expressions

dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Read more about derivatives at

https://brainly.com/question/25324584

#SPJ1

The transformation is a reflection over the x-axis.

On the given graph we can see two triangles, one is pointing up and the other one is pointing down, from that we clearly can see that we hade a kind of reflection.

Now, the distance between the base of the top triangle and the x-axis is 4 units.

The distance between the top side of the bottom triangle and the x-axis is aslo 4 units.

Then the reflection is over the x-axis.

Learn more about reflections at:

https://brainly.com/question/4289712

#SPJ1

Answer:

Step-by-step explanation:

its 1

Thus, the archery set's discounted price is $61.10.

A reduction from the normal or list price. providing clients with a 10% discount. purchasing discounted tickets. (2): a proportionate reduction from an account of debt, typically provided in exchange for cash or quick payment.

The initial cost of the soccer jersey must be multiplied by (100% - 20%) = 80%, or 0.8, to determine the sale price after a 20% discount.

$85.75 x 0.8 = $68.60; Sale Price =Original Price multiplied by (1 - Discount)

Hence, the soccer jersey's retail price is $68.60.

We can apply the formula to get the tennis racket's original cost after just a 55% reduction and a $49.05 sale price:

Original Cost = Discounted Cost (1 - Discount)

Original Price = $49.05 / (1 - 55%) = $49.05 / 0.45 = $109.00

Hence, the tennis racket's original cost is $99.00.

The following formula can be used to determine the discount % for the archer set with just an original cost of $94.00 as well as a sale of $61.10:

Discount = (Original Price - Sale Price) / Original Price x 100%

Discount = ($94.00 - $61.10) / $94.00 x 100% = 35%

Hence, the archery set has a 35% discount.

The following equation can be used to determine the retail price of a archery kit with a 35% reduction and an original cost of $94.00:

Sale Price =Original Price multiplied by (1 - Discount)

Sale Price = $94.00 x (1 - 35%) = $61.10

To know more about Discount visit:

https://brainly.com/question/29205061

#SPJ1

The standard deviations of the data are different.

The formula used to calculate the standard deviation of data is given by

x - mean of the data and n = number of observations

Here we have

(a) 4, 5, 11, 13, 13, 14

Mean of the data = [4 + 5 + 11 + 13 + 13 + 14 ]/6 = 60/6 = 10

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 96

=> √[ ∑(x[tex]_{i}[/tex] - x)²/n ] = √[ 96/ 6 ] = 4    

(b) 5, 7, 10, 10, 13, 15

Since the mean of the data is equal for all  

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 68

=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 68/ 6 ] = 3.36

(c) 3, 10, 11, 11, 12, 13

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 64

=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 64/ 6 ] = 3.26  

Therefore,

The standard deviations of the data are different.

Learn more about Standard deviations at

https://brainly.com/question/23907081

#SPJ1

Im not fully sure but it might be the 3rd one!

Answer:

Step-by-step explanation:

I got you

So,

The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:

32 cm ÷ 4 = 8 cm

Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:

Area = side length x side length

So, the area of the square is:

Area = 8 cm x 8 cm = 64 square centimeters

Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.

Yeah, your right the answer would be -39.1%

Answer:

Step-by-step explanation:

caca

Answer:

best of my knowledge hope its right -4

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

trying to find (in this case, 46.0), P is the percentage (20%), and B is the whole amount we're looking for. We can write this equation as:

46.0 = 0.20B

To solve for B, we can divide both sides by 0.20:

B = 46.0 / 0.20

B = 230

Therefore, 20% of 230 is 46.0.

Here are the possible outcomes of randomly drawing two marbles from the bag:

O, G

O, B

G, O

G, B

B, O

B, G

There are six possible outcomes in total, each with an equal chance of occurring. Therefore, the theoretical probability of drawing an orange marble and a green marble from the bag is 1/6 or approximately 0.167.

The required horizontal and vertical asymptote is x = 2, -2, and y = 1/4.

To find the vertical asymptotes of the given rational function, we need to look for values of x that make the denominator zero, since division by zero is undefined.

The denominator of the function is 4(x-2)(x+2), so the vertical asymptotes occur at x = 2 and x = -2. Therefore, the vertical asymptotes are:

x = 2, -2

To find the horizontal asymptote, we can use the fact that as x goes to positive or negative infinity, the function approaches the ratio of the leading coefficients of the numerator and denominator.

In this case, the leading term in the numerator is x² and the leading term in the denominator is 4x². Therefore, as x approaches positive or negative infinity, the function approaches:

y = (x² / 4x²) = 1/4

So, the horizontal asymptote is:

y = 1/4

Learn more about asymptote here:

https://brainly.com/question/4084552

#SPJ1

Answer:Hence, there are 1200 1200 1200 stiches per minute.

Step-by-step explanation:

The IQ score given the mean and the standard deviation, can be found to be 105. 25.

To find the indicated IQ score corresponding to a right tail area of 0.3694, we can use a standard normal distribution table or calculator. Using a calculator, we can find that the z-score corresponding to a right tail area of 0.3694 is approximately 0.35.

Once we have the z-score, we can use the formula z = (x - μ) / σ to solve for the IQ score :

0.35 = (x - 100) / 15

Solving for x, we get:

x = 0.35 x 15 + 100

= 105.25

Find out more on IQ scores at https://brainly.com/question/28143524

#SPJ1

The requried, Liam is 24 blocks away from his house.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
A graph is shown, Liam left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Liam is x minutes after he left his house until he got back home.

In order to calculate Liam's distance after x = 15 minutes. Draw a perpendicular at x = 15 that intersects the curve. Since the line intersects the curve at y = 24. This implies that Liam is 24 blocks away from his house.

Thus, the requried Liam is 24 blocks away form his house.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ1

Answer:

a = 16.5

b = 8.8

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

300=150%

300/3=100

150/3=50

100x2=200

50x2=100

100%=200

The study is classified as an observational study, and the problem is given as follows:

A.

This is a convenience sample with voluntary​ response, which has a high chance of leading to bias.

Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.

For an observational study, there are no changes, just a question is asked, as is the case for this problem.

Convenience samples lead to bias as many people that share characteristics can answer.

More can be learned about observational studies at https://brainly.com/question/13193533

#SPJ1

The percentage representation of T as part of S + T as required is; 40 percent.

As evident in the task content;

S is 150% of T.

S = 150/100 × T

S = 1.5T.

Therefore, expressing T as a percentage of S + T as required is as follows;

= (T / (S + T)) × 100%

substitute S = 1.5T into the equation

= T / (T + 1.5T) × 100%

= (1/2.5) × 100%

= 0.4 × 100%

= 40%.

Ultimately, the variable T is 40 percent of S + T.

Read more on percentages;

https://brainly.com/question/24877689

#SPJ1

The correct statement regarding the sign of the function is given as follows:

A. The function is negative when x < 0.

We have to look at the graph of the function relative to the x-axis, as follows:

Hence the sign of the function for this problem is given as follows:

Meaning that option A is the correct option.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:The quotient of 8,426 divided by 82 can be found using long division or a calculator. When rounded to the nearest hundredth, the quotient is:

102.85

Therefore, the answer is 102.85.

Step-by-step explanation:

Answer:

me too (help)

Step-by-step explanation:

Tom's total annual tax for the following year, assuming the tax table remains the same, is R325,287.17.

To calculate Tom's tax for the following year, we need to first calculate his current monthly PAYE (Pay As You Earn) deduction. We can use the current tax table to do this.

Tom's gross salary is R25,780.25 per month, and he is 45 years old, so according to the 2021/2022 tax table for individuals under 65 years old, his monthly PAYE deduction is:

= R1,458.75 + 25% of the amount over R14,958

= R4,569.96

Tom argues that his PAYE will increase by R593.09 for the following year. This means that his expected monthly PAYE deduction for the following year is:

= R4,569.96 + R593.09

= R5,163.05

Tom's salary for the following year will increase by 8.5%, so his new gross salary will be:

= R25,780.25 + (8.5% x R25,780.25)

= R27,959.83

Tom's pension fund contribution remains the same at 7.5% of his gross salary:

= R27,959.83 x 7.5%

= R2,097.49

His charity organization contribution increases by R50.00 per month:

= R50.00 x 12

= R600.00

Assuming the tax table remains the same as the previous year, Tom's new monthly PAYE deduction is:

= R1,577.98 + 26% of the amount over R17,708

= R5,502.86

To calculate Tom's total annual tax, we need to subtract his annual PAYE deduction from his gross salary and then add back his pension and charity contributions:

Total annual tax = (R27,959.83 x 12) - (R5,502.86 x 12) + R2,097.49 + R600.00

Total annual tax = R325,287.17.

Full question "Tom is 45 years old. He earns a gross salary of R25,780.25 per month.. Tom argues that his PAYE for the following year will increase by R593.09. The following year Tom's salary increases by 8.5%. How much tax will Tom pay per year, if he still contributes only 7.5% of his gross salary to a pension fund but increases his contribution to the charity organization by further R50.00 a month? Calculate as if the tax table for the following year remains the same."​

Read more about Tax

brainly.com/question/30157668

#SPJ1

Answer:

(w^4 - 81)(y^4)

Step-by-step explanation:

Answer:

The inequality that represents this relationship is:

b + a < 2b