i need help with this 1.5r – 3r + 8r + 2.5r i don't get it

Step-by-step explanation:

Negative slope

Its going from left to right.

Answer:

19/28 or about 68%

Step-by-step explanation:

7 + 12 + 9 = 28

7 + 12/28

19/28

Answer:

-23

Step-by-step explanation:

Answer:

I got no solution.

Step-by-step explanation:

Here's a screenshot of the math if you wanna use that answer.

Area of shaded region in the rectangle with a length of four inches and a width of eight inches rectangle with a length of four inches and a width of eight inches 20 inches².

Area is the amount of space a 2D shape occupies. This means a quantity which measures the number of unit squares that occupies the surface of a closed figure. The square unit is the standard unit of area, usually expressed in square inches, square feet, and many more.

The area of ​​a rectangle is always calculated by multiplying its length with its width. Which is the same as counting unit squares. So the equation for the area of ​​a rectangle is: A = L x W

Where, A = Area of ​​rectangle

L = length

W = width

For the given case:

Area of ​​rectangle

= 4 × 8

= 32 inches²

Area of triangle = ¹/₂(base × height)

= ¹/₂( 6 × 3 )

= ¹/₂ × 24

= 12 inches²

Area of shaded region = Area of rectangle - Area of triangle

= 32 - 12

= 20 inches²

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The complete question is as follows:

A white right triangle with a height of three inches and a base of six inches is inside a rectangle with a length of four inches and a width of eight inches. what is the area of the shaded area?

To solve this equation, we need to distribute the 5/8 to the terms inside the parentheses. The solution to the equation is d = -5.

5/8(16d+24) = (5/8)(16d) + (5/8)(24)

Simplifying this expression, we get:

10d + 15 = 6d - 5

Now we can solve for d by isolating the variable on one side of the equation. First, we'll subtract 6d from both sides:

4d + 15 = -5

Next, we'll subtract 15 from both sides:

4d = -20

Finally, we'll divide both sides by 4:

d = -5

Therefore, the solution to the equation 5/8(16d+24)=6(d-1)+1 is d = -5.

5/8(16d+24)=6(d-1)+1. Here's a step-by-step explanation:

1. First, distribute 5/8 to both terms inside the parentheses on the left side:
  (5/8 * 16d) + (5/8 * 24) = 6(d - 1) + 1

2. Simplify the terms on the left side:
  (10d) + (15) = 6(d - 1) + 1

3. Next, distribute 6 to both terms inside the parentheses on the right side:
  10d + 15 = 6d - 6 + 1

4. Simplify the terms on the right side:
  10d + 15 = 6d - 5

5. Now, move all terms with 'd' to the left side and constants to the right side by subtracting 6d from both sides and subtracting 15 from both sides:
  10d - 6d = -5 - 15

6. Simplify both sides of the equation:
  4d = -20

7. Finally, solve for 'd' by dividing both sides by 4:
  d = -5

So, the solution to the equation is d = -5.

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Answer:

i dont know

Step-by-step explanation:

Therefore, the final answer is:h(t) = (t+2)e^(-t) - 2te^(-t) - 2.

Explanation:

H(s) = 1 / s^4 + 2s³ + s²

From the Laplace transform pair table, the Laplace transform of t^n is given by:

n! / s^(n+1)

Therefore, taking the inverse Laplace transform of H(s), we get:

h(t) = L^(-1) [1 / s^4 + 2s³ + s²]

h(t) = L^(-1) [1 / s^2(s^2 + 2s + 1)]

h(t) = L^(-1) [1 / s^2(s + 1)^2]

The inverse Laplace transform of 1/s^2 is given by t.The inverse Laplace transform of

1/(s+1)^2

is given by e^(-t) * t.So, the inverse Laplace transform of

H(s) is

h(t) = t * e^(-t) + 2 * e^(-t) - 2t * e^(-t)h(t) = (t+2)e^(-t) - 2te^(-t) + constant. Applying the initial condition

h(0) = 0:0 = (0+2) - 0 + constant = -2h(t) = (t+2)e^(-t) - 2te^(-t) - 2

To find h(t), we first need to take the inverse Laplace transform of H(s). Using partial fraction decomposition, we can break H(s) down into a sum of simpler fractions. We then use the inverse Laplace transform pairs table to obtain the inverse Laplace transform of each fraction. Finally, we add up all the inverse Laplace transforms to obtain h(t). In this particular problem, the inverse Laplace transform of H(s) is given by

(t+2)e^(-t) - 2te^(-t) - 2.

Therefore, the final answer is:h(t) = (t+2)e^(-t) - 2te^(-t) - 2.

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An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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the answer will be 5,427 because we need to round the six and since 8 is greater that 5, we aproximate 6 to 7

Answer:

A. 0

Step-by-step explanation:

3*0 is less than 18

The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1

We shall solve for x by simplifying the equation and making x the subject as follows:

-x² + 2x + x - 3x = -9 + 2 + 6

-x² + 3x - 3x = 8 - 9

-x² = -1

multiply both sides by -1 we have;

x² = 1

take square root of both sides

x = √1

x = 1

Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1

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The probability that he misses the train today is 0.135 or 13.5%.

P(Class runs late)=30%=0.30

P(Miss train ∣ Class runs late)=45%=0.45

General multiplication rule:

P(A and B)=P(A)×P(B ∣ A)

Using the general multiplication rule, we then obtain (and using that the student always catches his train if the class ends on time) :-

P( Miss train)=P( Miss train and Class runs late)=P(Class runs late)×P(Miss train ∣ Class runs late)

= 0.30×0.45

= 0.135

= or 13.5%.

So, the the probability that he misses the train today is 0.135 or 13.5%.

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Answer:

increase in weight

Step-by-step explanation:

Answer:

Increase.

Step-by-step explanation:

20 is larger than 99. if one ton is 2000 pounds then 20 tons are 40,000 pounds. So 99 times 2000 is 198,000 pounds, which is larger than 40,000.

Summary: 20 tons (40,000 pounds) < 99 tons (198,000) pounds

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Vectors refer to mathematical entities that have both magnitude and direction. A vector is commonly used to represent physical quantities such as velocity, force, and displacement in the field of physics. In addition, vectors can also be used in computer graphics, engineering, and other fields of science and technology.

Vectors are represented using arrows, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow shows the direction of the vector. The tail of the arrow is the starting point, while the tip of the arrow is the ending point or the point of action. A vector can be described in terms of its components along the x and y-axis or in terms of its magnitude and direction, also known as the vector's polar coordinates. There are different operations that can be performed on vectors, such as addition, subtraction, dot product, and cross product.

The addition of two vectors results in a resultant vector that is the sum of the two vectors. The dot product of two vectors results in a scalar quantity that represents the projection of one vector onto another. The cross product of two vectors results in a vector that is perpendicular to both vectors and has a magnitude equal to the area of the parallelogram formed by the two vectors. Vectors are important in the field of physics, particularly in mechanics, where they are used to represent physical quantities such as force and velocity. In addition, vectors are also used in computer graphics, where they are used to represent points, directions, and other objects in three-dimensional space. Vectors play a vital role in various fields of science and technology, and their applications continue to grow with time.

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a) The probability that a person has the virus given that they have tested positive is 0.5.

b) The probability that a person does not have the virus given that they test negative is 0.9.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Virus infects one in every 400 people.

Let A = be the event of being infected.

Let A' = be the event of not being infected.

Let B = be the event of being tested positive.

Let B' = be the event of being tested negative.

Let the population = 1,00,000

So, now the number of infected people are -

Infected people = (1/400) 100000

Infected people = 250

The number of non-infected people are -

Non-Infected people (T') = 100000 - 250

Non-Infected people (T') = 99750

The test is 80% positive when the person has the virus -

N(A|B) = 0.80 × 250

N(A|B) = 200

So, the probability value for N(A|B) -

P(A|B) = 200/400 = 0.5

The test is 10% positive when the person does not have the virus -

N(A'|B) = 0.10 × 99750

N(A'|B) = 9975

Number of people who test negative when they don't have the virus -

N(A'|B') = (T') - N(A'|B)

N(A'|B') = 99750 - 9975

N(A'|B') = 89775

So, the probability value for N(A'|B') -

P(A'|B') = 89775/99750 = 0.9

Therefore, the probabilities are 0.5 and 0.9.

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Answer:

8

Step-by-step explanation:

In the expression 8k - 14 + y, the coefficient of k is 8

Answer:  8

The coefficient is the number to the left of the variable. So the coefficient of the k term is 8.

A linear relationship between the cost of fire damage (y) and the distance from the house to the nearest fire station (x) is being analyzed using the equation y = mx + c.

We have,

A sample of 15 recent fires and the variables recorded for each fire:

x = distance from the fire to the nearest fire station (in miles) and

y = cost of damage (in dollars).

The distances range from 0.7 miles to 6.1 miles.

To determine the linear relationship between the variables x and y, you can perform a linear regression analysis to find the equation of the best-fit line that represents this relationship.

This equation will help you predict the cost of fire damage based on the distance to the nearest fire station.

If you have the data points for the distances and costs of damage, you can use statistical software or tools to perform the regression analysis and find the equation of the line.

The equation will be in the form of:

y = mx + b

where:

y is the cost of damage

x is the distance to the nearest fire station

m is the slope of the line (reflecting the rate of change of cost with respect to distance)

b is the y-intercept (the cost when the distance is 0)

This linear equation will provide insights into how the cost of fire damage changes as the distance to the nearest fire station changes.

Thus,

A linear relationship between the cost of fire damage (y) and the distance from the house to the nearest fire station (x) is being analyzed using the equation y = mx + c.

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a. The critical value for testing if the correlation is significant at α=0.05 with a sample size of 15 is 0.524.

b. With a correlation coefficient of 0.961, the correlation between cost and distance is significant at α=0.05, as the computed correlation coefficient is greater than the critical value of 0.524.

c. The regression equation for predicting cost of damage from the distance between the fire and the nearest fire station is y = 4919x + 10278, where y represents the cost of damage and x represents the distance between the fire and the nearest fire station.

d. To predict the cost of damage for a house that is 0.5 miles from the nearest fire station, substitute x=0.5 into the regression equation to obtain y = 13877 dollars.

Here, we have to test if the correlation is significant, we need to calculate the critical value using the formula: critical value = t(α/2, n-2), where t is the t-distribution value and α is the level of significance.

With α=0.05 and n=15, the critical value is 0.524. As the computed correlation coefficient of 0.961 is greater than the critical value, we can conclude that the correlation between cost and distance is significant.

To find the regression equation, we use the formula: y = bx + a, where b is the slope and a is the y-intercept.

Given that the slope is 4919 and the y-intercept is 10278, the regression equation is y = 4919x + 10278.

This equation can be used to predict the cost of damage for any distance between the fire and the nearest fire station.

To predict the cost of damage for a house that is 0.5 miles from the nearest fire station, we substitute x=0.5 into the regression equation to obtain y = 4919(0.5) + 10278 = 13877 dollars.

This means that the predicted cost of damage for a house that is 0.5 miles from the nearest fire station is $13,877.

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complete question:

An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fires and the distance from the house to the nearest fire station. A sample of 15 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded:

x= the distance between the fire and the nearest fire station (in miles)

y= cost of damage (in dollars)

The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles.

a. The correlation between cost and distance is 0.961. What is the critical value for testing if the correlation is significant at α=.05?

b. The correlation between cost and distance is 0.961. Test if the correlation is significant at α=.05.

c. What is the regression equation for predicting cost of damage from the distance between the fire and the nearest fire station when the slope is 4919, and the y-intercept is 10278 ?

d. Predict the cost of damage for a house that is 0.5 miles from the nearest fire station.

Answer:

1/2

Step-by-step explanation:

The passage and Aylmer's dialogue describe his obsession with perfection and his attempts to remove a birthmark from his wife's face.

Aylmer's language is formal and scientific, using technical terms and precise language to describe his work. This enhances the meaning of the passage by highlighting Aylmer's belief in the power of science and his desire to control nature.

For example, Aylmer says, “Georgiana, I have spent much thought upon the subject,” and “I feel myself fully competent to render this dear cheek as faultless as its fellow.”

This language conveys Aylmer's confidence in his abilities and his belief that he can achieve perfection through scientific means. The precise language also reinforces the idea that Aylmer sees his wife's birthmark as a flaw that needs to be eradicated.

Therefore, the diction in Aylmer's dialogue enhances the meaning of Passage 2 by highlighting the theme of obsession with perfection and the power of science to control nature.

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

-7

Step-by-step explanation:

y because i know so

Step-by-step explanation:

Given that,

The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)

The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)

So, the rate of \(1.5\ \text{yard}^2\).

Answer:

0 < 2/13 < 7/16 < 5/9 < 1 < 5/2

Step-by-step explanation:

Sothe non-parametric equation of the plane with the given normal vector and passing through the point (5, -6, 0) is: -5x + 6y + 6z + 61 = 0

In order to find the non-parametric equation of the plane, we need the normal vector and a point on the plane. The normal vector is given as (-5, 6, 6), and a point on the plane is (5, -6, 0).

The non-parametric equation of a plane is given by:

Ax + By + Cz = D

where (A, B, C) is the normal vector and (x, y, z) is a point on the plane. We can substitute the values into the equation to find the values of A, B, C, and D.

(-5)(x - 5) + (6)(y + 6) + (6)(z - 0) = 0

Expanding this equation:

-5x + 25 + 6y + 36 + 6z = 0

-5x + 6y + 6z + 61 = 0

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Answer:

54 0r 42 I think

Step-by-step explanation:

Answer:

B, 54

Step-by-step explanation:

if we put this as ratios, the equation will look like this.

m/45=46/30-->we can solve it easily after this

30m=1620

m=54