Find the slope of each line.

Answer:6

Step-by-step explanation:

The flat fee of $5.50 is the constant term, which is added to the cost of the items ordered (x) to determine the total cost including shipping (y).

The relationship between the cost of items ordered online and the total cost including shipping can be represented by the equation y = x + 5.50, where x represents the cost of the items ordered and y represents the total cost including shipping.

To find the total cost (y), follow these steps:

1. Determine the cost of the items ordered(x).

2. Add the flat shipping fee of $5.50 to the cost of the items ordered (x).

3. The result will be the total cost including shipping (y).

In this equation,

the flat fee of $5.50 is the constant term, which is added to the cost of the items ordered (x) to determine the total cost including shipping (y).

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To find the exact area of the surface obtained by rotating a curve about the x-axis, we can use the formula for the surface area of revolution. In the first problem, the curve x = (1/3)*(y^2 + 2)^(3/2) is rotated about the x-axis. In the second problem, the curve x = 1 + 3y^2 is also rotated about the x-axis. We will calculate the surface areas for each problem.

Problem 1:

To find the surface area of the first curve, we can integrate the formula 2πy * √(1 + (dx/dy)^2) over the given interval. Taking the derivative of x with respect to y, we get dx/dy = (2/3)*y*(y^2 + 2)^(1/2). Plugging this into the formula and integrating from y = 1 to y = 2, we can calculate the exact surface area of the resulting surface.

Problem 2:

For the second curve, we again integrate the formula 2πy * √(1 + (dx/dy)^2) over the given interval. Differentiating x with respect to y gives us dx/dy = 6y. Substituting this into the formula and integrating from y = 1 to y = 2 will yield the exact surface area of the rotated surface.

By evaluating these integrals, we can find the exact surface areas for both curves when rotated about the x-axis. These calculations will provide the precise values of the surface areas for each problem.

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Answer: 27:1

Step-by-step explanation:

The ratio of the volumes is equal to the cube of the ratio of the altitudes.

Answer:

12 cm² this is the answer

Step-by-step explanation:

4+8 = 12

Answer:

12cm^2

Step-by-step explanation:

To find the area of the bigger rectangle, add the areas of the smaller rectangles.

8+4=12

Therefore, the area of the bigger rectangle is equal to 12cm^2.

I hope this helps!

Answer:

Logan's swimming average is 2.25 kilometers per hour.

Mila's swimming average swimming speed is 34.44 m/min.

The distance swam by Logan = 750 m

The distance swam by Mila =  of Logan's distance = \(\frac{2}{3}\)  × 750 = 2 × 250 = 500.

This should help. :)

Logan's swimming Average 2.25 kilometers per hour

and Mila's swimming speed is 34.44 m/min.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The distance swam by Logan = 750 m

Logan's swimming average is 2.25 kilometers per hour.

Mila swam 2/3 of logans distance in 1/4 of an hour

So,

The distance swam by Mila =  2/3 of Logan's distance

= 2/3  × 750

= 2 × 250

= 500.

So, Mila's swimming speed is 34.44 m/min.

Hence, Logan's swimming Average 2.25 kilometers per hour and Mila's swimming speed is 34.44 m/min.

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The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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Main answer:

She bought 5 coach tickets and 6 first class tickets.

Step-by-step explanation:

Given:

Total tickets = 11

Let's First class tickets =f, Coach tickets = c.

Total tickets = f + c

     f + c = 11  

⇒  f = 11 - c  →   equation 1

Cost she used to purchase coach tickets = $260

Cost she used to purchase First class tickets = $1130

Total budget for airfare = $8080

260c + 1130f = 8080  →  equation 2

Substitute equation 1 in equation 2;

260c + 1130(11-c) = 8080

260c + 12430 - 1130c = 8080

12430 - 8080 = 1130c- 260c

870c = 4350

c = 5 peoples

Now, Substitute c in equation 1;

f + c = 11

f = 11 - 5

f = 6 peoples

Hence, She bought 5 coach tickets and 6 first class tickets.

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Answer:

8 orange slices

Step-by-step explanation:

The total number of persons = Aiden + 6 friends = 7 persons

7 people are to share 56 orange slices equally.

Hence,

7 persons = 56 slices

1 person = x

Cross Multiply

7x = 56 × 1

x = 56/7

x = 8 slices

Therefore, each person will get 8 orange slices

Biological factors are not the most important causes of social and environmental factors contributing to mild intellectual disability.

While biological factors can play a role in intellectual disabilities across all levels, including profound, moderate, severe, and mild, social and environmental factors such as inadequate education, limited access to resources, poverty, and lack of support systems can have a more significant impact on the development of mild intellectual disability. It's important to note that the causes of intellectual disabilities can be complex and multifactorial, often involving a combination of biological, social, and environmental factors.

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Answer:

Step-by-step explanation:

Let A = 2×2×3×3×3×3×5×5×5×11

Let B = 2×2×2×2×2×3×3×5×7×13​

Highest Common factors = 2 x 2 x 3 x 3 x 5

                                            = 180

The answer for the given question is 67.

An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Let x be Vidya's height.

The equation will be determined by the given conditions:

x – 19 = 48

move the variable to the equation's left side:

x = 48 + 19

x = 67

Hence, the correct value for the given question is 67

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Answer: Heyaa!

Your Answer Is... 10/3

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you !

- Matthew ~~ ( have an amazing day)

Answer:

F=2.2375+2.25m is a linear function which models the taxi fare F as a function of the number of miles driven, m

Step-by-step explanation:

a+0.25=m

a=m-0.25

a/0.20=d

(m-0.25)/0.20=d

F=2.80+0.45(m-0.25)/0 20

=2.80+2.25(m-0.25)

=2.80+2.25m-0.5625

=2.80-0.5625+2.25m

F=2.2375+2.25m

Answer:

\( \frac{28}{45} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

Step-by-step explanation:

I got Y=-12/11-3

The only other answer it could be is the last one since perpendicular lines have negative reciprocal slopes and none of the other answer choices have negative reciprocal slopes.

Answer:

x-intercept = (3/4,0)

y'intercept = (0,-3)

Step-by-step explanation:

Not sure what conversion you need but here are the intercepts

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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Answer:

To find the interest earned on a savings account by depositing $9800 for 15 months at 5% simple interest, we can use the formula:

Interest = (Principal x Rate x Time) / 100

Where:

Principal = $9800

Rate = 5%

Time = 15 months

First, we need to convert the time from months to years by dividing 15 by 12:

Time = 15/12 = 1.25 years

Now, we can substitute the values into the formula:

Interest = (9800 x 5 x 1.25) / 100

Interest = $612.50

Therefore, the interest earned on the savings account is $612.50.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

The slope is -9/12

Step-by-step explanation:

First find the slope of the given line:

12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15

The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.

So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.

The perimeter of the regular nonagon with a radius of 19 is 58.3 units.

The nonagon's center, designated by the letter O, has a radius of 19; the distance from O to any vertex is therefore equal to the radius:

sin(20) = s / 19

We then solve for  s:

s = 19 * sin(20)

s = 6.4807

We find the length of one side by multiplying it by 9:

Perimeter = 9 * s

perimeter=  9 * 6.4807

perimeter = 58.3263

In conclusion, a nonagon is  described as  a nine sided polygon and it is also called an Enneagon or 9-gon.

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On solving the provided question, we can say that from the graph, area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

From the graph,

area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units

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Answer:

609m^2

Step-by-step explanation:

Area of the nonshaded part  = (6*11) + (13*7)

Area of the nonshaded part = 66+ 91

Area of the nonshaded part  = 157m^2

Area of the whole figure = (28*14) + (17*22)

Area of the whole figure  = 392+374

Area of the whole figure  = 766m^2

Required area  = 766 - 157

Required area   = 609m^2

Answer:

they can buy 4 sodas

Step-by-step explanation:

The equation that can be used to find the measure of angle LKJ is sin-1(8.9/10.9) = x.

Trigonometry is a branch of mathematics that studies the relationship between the sides and angles of triangles, especially right triangles.

An angle is a measure of the amount of rotation or inclination of two lines or planes about their intersection.  Angles can be measured in degrees, radians, or grads.

An equation is a mathematical statement that demonstrates that two things are equal. An equation consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign.

Cosine is a trigonometric function that relates the ratio of the adjacent side of a right-angled triangle to the hypotenuse.

The sine function is a trigonometric function that is used to calculate the ratio of the length of the side opposite an acute angle in a right-angled triangle to the hypotenuse.

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Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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The polynomial function which has a leading coefficient 1 is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Given that a polynomial function has leading coefficient 1 and roots (7+i) and (5-i) with multiplicity 1.

We want to find the polynomial function.

As we know that the complex conjugate properties of the roots of a polynomial states that if a+bi is a root of a polynomial then their complex conjugate a-bi is also a root.

So, according to this property (7-i) and (5+i) with multiplicity 1 is also a root of polynomial.

Thus, all the roots are x=7+i, x=7-i, x=5+i and x=5-i

So, the polynomial is f(x)=(x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Hence, the polynomial function which has a leading coefficient 1 and roots (7+i) and (5-i) is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i)).

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