25 POINTS!

Which of the following is an equation of a line PARALELL to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1
Which of the following is an equation of a line PERPENDICULAR to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1

Answer: 31.42 m

Step-by-step explanation:

\(A=2\pi rh+2\pi r^2\)

\(A=2\pi (1)(4)+2\pi (1)^2\)

\(A=31.42\)

Hope this helped! ;)

Answer:

  the rule for repeated denominator factors applies

Step-by-step explanation:

You want to know why is there not a separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function.

The rule for repeated denominator factors is that there is a fraction in the partial fraction sum for each power of the denominator factor up to its greatest power.

  A(x)/B(x)^n = a1(x)/B(x) + a2(x)/B(x)^2 + a3(x)/B(x)^3 + ... +an(x)/B(x)^n

This rule applies to cubic factors as well as factors of any other power.

__

Additional comment

The attached calculator display shows an example of a repeated factor.

<95141404393>

There is no separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function because the general method can be applied to any rational function regardless of the degree of the denominator.

Partial fraction decomposition is the process of decomposing a rational function to a sum of simpler fractions. It is a technique used in the integration and simplification of algebraic expressions. The partial fraction decomposition key idea is a method for separating a rational function into its parts so that it can be more easily manipulated.

1: Factorize the denominator of the rational function into linear factors.

2: Write the partial fraction decomposition of the function as a sum of simpler fractions, with each term having a denominator that matches the factors.

3: Determine the unknown coefficients by equating the coefficients of like terms in the original function and its partial fraction decomposition.

The degree of the denominator does not affect the general method of partial fraction decomposition.

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Answer:

(4, 4)

Step-by-step explanation:

Coordinates of a point (x, y) after dilation with a scale factor k,

Rule to be followed,

(x, y) → k(x, y)

        → (kx, ky)

Coordinates of point T are (8, 8).

Dilation of the point T after dilation with a scale factor of \(\frac{1}{4}\) will be,

(8, 8) → \(\frac{1}{2}(8, 8)\)

        → (4, 4)

Therefore, coordinates of the image point B' will be (4, 4).

Answer:

The coordinates of the police car is (12,8)

(C) is correct option

Step-by-step explanation:

Given that,

If a police car is parked on the side of the highway, exactly four-fifths of the distance from Exit A to Exit B.

According to figure,

\(\dfrac{AC}{BC}=\dfrac{5}{4}\)

Suppose, The points A and B are (2,3) and (4,4)

We need to find the coordinates of the police car

Using section formula for external point

For x,

\(x=\dfrac{mx_{2}-nx_{1}}{m-n}\)

Put the value into the formula

\(x=\dfrac{5\times4-4\times2}{5-4}\)

\(x=12\)

For y,

\(y=\dfrac{my_{2}-ny_{1}}{m-n}\)

Put the value into the formula

\(y=\dfrac{5\times4-4\times3}{5-4}\)

\(y=8\)

Hence, The coordinates of the police car is (12,8)

(C) is correct option.

The Cp (Process Capability Index) for the process is 1.4.

To calculate the Cp (Process Capability Index) for a process, we need to compare the process spread with the specification limits. Cp is defined as the ratio of the tolerance width to the process spread.

Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

Given that the process has a CpK (Process Capability Index on the Upper Side) of 2.4 and a CpK on the Lower Side of 1.4, we can use the relationship between Cp and CpK to find the Cp value.

Cp = min(CpK Upper, CpK Lower)

Cp = min(2.4, 1.4)

Therefore, the Cp for this process would be 1.4.

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Answer:

x = 15

y = 12

z = 20

Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

then y = 12

The highest point scored is by Carlos with 19 points. Mario's highest was 15. so, Carlos scored 4 points more than Mario.

In the 7th game, Carlos scored 19 points which is the highest point of his game. In the 1st game, Mario scored 15 points which was the highest point he scored. Therefore, Carlos had the highest scoring game between the two of them. Carlos scored 4 points more than Mario did in his highest-scoring game. You can also construct a box plot for this question which will help you visualise this better. The box plot can be made by drawing a number line and marking the following points: minimum, first quartile, median, third quartile and maximum.

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The full question is:

Mario and Carlos, two brothers, play for the same basketball team. Here are the

points they scored in 10 games:

Game 1 2 3 4 5 6 7 8 9 10

Mario 15 X X 12 7 11 12 11 10 11

Carlos 10 X 9 12 15 X 19 11 12 12

(Xs mark games each one missed.) Which brother had the

highest-scoring game? How many more points did he score in

that game than the other brother did in his highest-scoring game?

Answer:

positive 2 is the opposite

The change that would she receive if she paid with bills totaling $80 is $11.

Given that, Lulu bought two blouses for $24 each, tax included, and three pairs of socks for $7 each.

She paid 24 for each of the two blouses,

Therefore 24 * 2 = 48.

The blouses cost her 48.

3 pairs of socks, each costing $7, for a total of 21 socks which she paid.

By simple math,

Add the two together because the total includes tax,

which is = 48 + 21 = 69.

She paid 80 and

Has change of $11 =$80-$69.

Therefore, the change she should expect is $11.00

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The given triangle is a right angle triangle, so side opposite to the right angle is always hypotenues.

By using the trigonometric ratio finding the perpendicular,

Here, perpendicular is the side opposite to the angle given is 30 degree.

Now, finding the third side by using Pythagorean theorem

Here, Base = 15 (given)

Thus, the correct answer is (2)

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

If the pattern continues, the recursive formula for f(n) is f(n) = f(n-1) (3/5), f(1) = 5.

We have to find which function suits the sequence 5, 3, 9/5, 27/25.

Consider the function

f(n) = f(n-1) (3/5), f(1) = 5

When n= 2

f(2) = f(2-1) × 3/5

f(2) = f(1) × 3/5

f(2) = 3

So the 2nd term is 3.

When n= 3

f(3) = f(2)  × 3/5

f(3) = 9/5

So 3rd term is 9/5

When n= 4

f(4) = f(3) × 3/5

f(4) = 27/25

So 4th term is 27/25.

So the recursive formula which suits f(n) is f(n) = f(n-1) (3/5), f(1) = 5.

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The correct option is D. The number of accidents is being used as the operational definition of automobile accidents in this study. The independent variable would be gender (male or female), which is used to compare the differences in driving ability between men and women.

Many factors can contribute to the number of automobile accidents a person is involved in, such as driving experience, road conditions, vehicle maintenance, and even weather. Additionally, the number of accidents can be influenced by various personal and social factors, such as age, income, and education level, as well as factors related to the vehicle itself, such as make and model. These factors can all impact driving behavior and the likelihood of being involved in an accident, regardless of gender.

Therefore, using the number of accidents as a measure of driving ability is likely to yield biased results and not representative of the true ability of men or women as drivers. To draw more meaningful conclusions about driving ability, it would be necessary to use a more comprehensive and reliable method for measuring driving skills, such as a standardized driving test or assessment of specific driving skills and behaviors.

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Dr. Marlow wants to learn whether men or women are better drivers. to determine this, she will measure driving ability by examining the number of automobile accidents people have been involved in as a driver. thus, she is using the number of accidents as the number of accidents is the basis of

a. her control group in this study.

b. a theory of good driving.

c. the independent variable in this study.

d. the operational definition of driving ability.

e. a case study examination of driving ability.

The student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

To find out the student's score in standard units, we can use the formula Z = (X - μ) / σ, where Z is the number of standard deviations from the mean, X is the student's score, μ is the mean, and σ is the standard deviation.

First, let's find the mean and standard deviation of the class's scores. The average score is 80 points, and the standard deviation is 8 points. Therefore,

μ = 80

and

σ = 8.

Next, let's find the student's score in standard units. The student got a 92 on the exam. Therefore,

X = 92.Z

= (X - μ) / σ

= (92 - 80) / 8

= 1.5

Therefore, the student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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The points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.



To find the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1), we need to consider the coordinates of the points on the x-axis.

Since we are dealing with the x-axis, the y and z coordinates of the points will be zero. Let's assume the coordinates of the points on the x-axis as (x, 0, 0).

The distance between two points can be calculated using the distance formula:Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

In this case, the coordinates of point P are (2, -3, -1) and the distance is given as 25‾√. Plugging these values into the distance formula, we get:

25‾√ = √((x - 2)^2 + (-3 - 0)^2 + (-1 - 0)^2)

Simplifying further:

625/4 = (x - 2)^2 + 9 + 1

625/4 = (x - 2)^2 + 10

Solving for x:

(x - 2)^2 = 625/4 - 10

(x - 2)^2 = 625/4 - 40/4

(x - 2)^2 = 585/4

Taking the square root of both sides:

x - 2 = ±√(585/4)

x = 2 ± (√585)/2

Therefore, the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.

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Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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Answer:

The number is -341

Step-by-step explanation:

Let the three digit number be represented as 100a+10b+c

Given

2a -b = 2 ---(1)

a = 3c ----(2)

100a+10b+c - 100c -10b -a = 594

99a -99c = 594 ---(3)

From 2 & 3 , we get -

99*a - (99*3*a) = 594

99*2 a = 594

a = -3

a = 3c, c = -1

2*-3 -b = 2, b = -4

Number is -341

The probability that the experiment results in 9 or more successes = 0.0676

A binomial distribution is given by,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ  ,

where p is the probability of success and x is the random variable for success in n trials.

A binomial experiment has only two outcomes- success or failure.

Here, the number of trials, n = 10

Probability of success = 0.63

The probability for 9 or more success = P( X = 9, 10)

                                                               = P (X = 9) + P(X = 10)

So P( X = 9) =  ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹

                   = 10 x 0.0156 x 0.37

                   = 0.05772

and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰

                     = 1 x 0.009849 x 1

                     =  0.009849

Hence probability for 9 or more success = 0.05772 + 0.009849

                                                                    = 0.067569

                                                                    = 0.0676

The question is incomplete. Find the complete question below:

A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

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A "right triangle" in 7th-grade math class refers to a triangle with one angle measuring exactly 90 degrees, and students learn about the properties of right triangles, the Pythagorean theorem, and how to use it to solve problems.

In 7th-grade math, students typically learn about the basic properties of triangles, including their angle measures and side lengths. They learn how to classify triangles based on their angle measures, and the Pythagorean theorem, which relates the side lengths of a right triangle. They also learn how to use the theorem to solve real-world problems, such as finding the length of the missing side of a right triangle.

In a 7th-grade math class, students will likely also learn about the special right triangles, such as the 30-60-90 triangle and the 45-45-90 triangle. These triangles have special ratios of their side lengths that make them useful for solving mathematical problems. They also will learn about solving problems with the Pythagorean theorem.

In a 7th grade math class, students are expected to have a good understanding of triangles, and be able to classify them according to their angle measures, solve problems with the Pythagorean theorem, and be familiar with the special right triangles.

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Answer: $ 7.20

Step-by-step explanation:

(9x4)/5

36/5

= 7.2

= $7.20

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

Answer:

1. s = 35 - 21

2. 14

Step-by-step explanation:

Let t = total number of salads and bowls of soup.

Let s = number of salads.

Let b = number of bowls of soup.

1.

t = s + b

We are told the total number of people is 35, so we have t = 35.

35 = s + b

s + b = 35

Solve for s.

Answer: s = 35 - b

2.

b = 21

s = 35 - b

s = 35 - 21

s = 14

Answer: 14

Answer:

Answer:

1. s = 35 - 21

2. 14

Step-by-step explanation:

Let t = total number of salads and bowls of soup.

Let s = number of salads.

Let b = number of bowls of soup.

1.

t = s + b

We are told the total number of people is 35, so we have t = 35.

35 = s + b

s + b = 35

Solve for s.

Answer: s = 35 - b

2.

b = 21

s = 35 - b

s = 35 - 21

s = 14

Answer: 14

Step-by-step explanation:

Answer:

18) a^5b^-3c

19) -3xy^1z^-2

20) -5r^4s^-2t^-3

Answer:

f (-4) = 3x(-4)^2 - 7x(-4) - 32 =  44

Step-by-step explanation:

you should replace every x with the number given which is here equals -4

The function with the second derivative as f'' ( x ) = 3x + 4sin ( 2 ) is given by f ( x ) = ( 1/2 )x³ + 2x²sin(2) + 4x + 2

Given data ,

To find the function f(x) given the information about its second derivative and initial conditions, we can integrate the second derivative twice and apply the initial conditions to determine the constants of integration.

First, integrating f''(x) = 3x + 4 sin(2), we get:

f'(x) = 3/2 * x² + 4 * x * sin(2) + C1

where C1 is a constant of integration.

Next, integrating f'(x), we get:

f(x) = 1/2 * x³ + 4/2 * x² * sin(2) + C1 * x + C2

where C2 is another constant of integration

Now, we can apply the initial conditions to determine the values of C1 and C2

Given f(0) = 2, we have:

f(0) = 1/2 * 0³ + 4/2 * 0² * sin(2) + C1 * 0 + C2 = C2 = 2

So, C2 = 2

Given f'(0) = 4, we have:

f'(0) = 3/2 * 0² + 4 * 0 * sin(2) + C1 = C1 = 4

So, C1 = 4

Now, substituting the values of C1 and C2 into our expression for f(x), we get:

f(x) = ( 1/2 )x³ + 2x²sin(2) + 4x + 2

So, the function f(x) that satisfies the given conditions is:

f(x) = ( 1/2 )x³ + 2x²sin(2) + 4x + 2

Hence , the function is f ( x ) = ( 1/2 )x³ + 2x²sin(2) + 4x + 2

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The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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