Please Help me out!!

Therefore , the solution of the given problem of speed comes out to be

v=10mph is the michael speed in  water.

Distance-based speed is a gauge of how quickly something is moving. The amount of distance a moving object may move in a certain length of time depends on its speed. Speed is calculated using the following equation: velocity = distance x time. The most used units for gauging speed are meters per second (m/s), kilometers per hour (km/h), and kilometers per second (mph) (mph).

Here,

Given :The issue can be rapidly resolved after an equation has been established. Consider the equation time = distance/velocity. Let the speed of moving water equal v. The distance, 182 miles, will be the same both ways.

Downstream time =182/(v+3)

Downstream time + 12 = 182 (v-3)

Set t to the downstream time. Set t=t!

182/(v+3) = 182/(v-3) - 12

Denominators are eliminated by dividing both side by (v+3) (v-3).

12v2 turns out to equal 1200.

Hence, v=10 mph!

Therefore , the solution of the given problem of speed comes out to be

v=10mph is the michael speed in  water.

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Answer: -8

Step-by-step explanation:

Answer: The correct equation that matches the statement "The product of a number, x, and 0.28 is 13.44" is:

0.28x = 13.44

This equation states that when a number x is multiplied by 0.28, the result is 13.44.

Step-by-step explanation:

The square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

Square is a two-dimensional shape with four equal sides and four right angles. It is one of the most common shapes in geometry. Squares have many practical uses, such as in forming grids, creating patterns, and making tiling. Squares are also used in art and architecture, as well as in construction, mathematics, and science.
To solve this problem, we will use the formula for the volume of a rectangular box, V = lwh. We can substitute the given values to solve for x. First, we will find the length and width of the box after the square corners are cut out:

Length = 20 - 2x

Width = 14 - 2x

Now, substituting these values into the volume formula, we get:

288 = (20 - 2x)(14 - 2x)h

Expanding and simplifying, we get:

288 = 280 - 56x + 4x^2

Subtracting 280 from both sides, we get:

8 = -56x + 4x^2

Solving for x, we get:

4x^2 - 56x + 8 = 0

Using the quadratic equation, we get x = 2.4 or x = 0.4

Since x must represent a length, we can discard the negative solution, x = 0.4. Therefore, the square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

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Answer:

Coupon A

Step-by-step explanation:

Coupon A takes 40% off

51 x .40= $20.40

Coupon B only gives a rebate for $18

Coupon A is $2.40 less than the price with coupon B

When plotting points on a quadratic inequality, the "included" points refer to the points that satisfy the inequality, and the "not included" points refer to the points that do not satisfy the inequality.

Generally, A quadratic inequality is an inequality that can be written in the form of

ax^2 + bx + c > 0 or ax^2 + bx + c < 0,

where a, b, and c are constants and x is a variable.

These types of inequalities can be solved using the same methods as solving quadratic equations, with the added step of testing the solutions in the original inequality to determine whether they are valid solutions.

Simply put, an equation of the kind with the greatest degree two and no equal sign is known as a quadratic inequality. There is a technique for resolving quadratic inequalities called the wavy curve approach. It is the same to solve quadratic equations as it is to solve quadratic inequalities.

For example, if the inequality is "y > x^2," the points that are above the parabola y = x^2 would be included, and the points that are below the parabola would be not included.

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The geometric series is 6, -30, 150, -750, 3750, -18750 and the sum of the geometric series is -15624.

A geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio.

The geometric series that starts with 6, ends with -18,750, and has a common ratio of -5 is:

6, -30, 150, -750, 3750, -18750.

The sum of the geometric series is the sum of all the terms in the series. To find the sum of the series, you can use the formula:

S = a(1 - rⁿ)/(1 - r)

Where:

S is the sum of the series

a is the first term of the series

r is the common ratio

n is the number of terms in the series

In this case, a = 6, r = -5 and n = 6. Thus:

S = 6(1 - (-5)⁶)/(1 - (-5))

S = 6(1 - 15625)/(1 + 5)

S= 6(-15624)/6

S = -15624

Thus, the sum of the geometric series is -15624.

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The relationship between the expressions is that these are inverses.

Here we want to find the relationship between:

logₐ(n) = logₙ(a)

(I changed the variable b for n)

Remember the definition of a logarithm with a base, we can rewrite it as:

logₐ(n) = ln(n)/ln(a)

If we write both of the expressions in that form, we will get:

logₐ(n) = logₙ(a)

ln(n)/ln(a) = ln(a)/ln(n)

So, as you can see, the two expressions are inverses, that is the relation.

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Answer:

Step-by-step explanation:

Quadratic: binomial

Cubic: trinomial

Quartic: four terms

Quintic: five terms

8th degree: six terms

The area of the octagon, to the nearest square centimeter, is 628 cm^2.

Octagon is a two-dimensional shape with eight sides and eight angles. It is a polygon with eight vertices, and it is one of the most widely recognized geometric shapes. It is often used in architecture, as well as in signage and logo designs. Octagons can also be found in nature, such as in the shape of honeycomb cells, some flower petals, and certain animal eyes.

To calculate the area of an octagon, we need to first calculate the length of the side. To do this we use the formula for the perimeter of an octagon: P = 8s, where s is the length of the side. Solving for s: s = P / 8.

The perimeter of the octagon is 80 cm. So the length of the side is 80 cm / 8 = 10 cm. Now we can use the formula for the area of an octagon: A = 2(1 + √2) s^2. Plugging in our value for s, we get: A = 2(1 + √2) (10 cm)^2 = 628.3 square cm. The area of the octagon, to the nearest square centimeter, is 628 cm^2.

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To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

$50 initial fee + $.25 per minute = $225

$225 - $50 = $175

$175 / $.25 = 650 minutes

The initial fee for the phone plan was $50, and for every minute used, an additional $.25 was charged. Last month's bill was $225, so subtracting the $50 initial fee from the total cost of the bill leaves $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes.

The phone plan charges an initial fee of $50 for the month, as well as an additional $.25 for every minute used. Last month's bill was $225, so to find the total number of minutes used, subtract the $50 initial fee from the total cost of the bill. This results in $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

A user's phone plan last month costed $225, which included an initial fee of $50 plus $.25 for every minute used. After subtracting the initial fee from the total bill cost, $175 was left which was the cost of the minutes used. Dividing this number by the $.25 per minute charge reveals that the user had used 650 minutes.

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As a result, from the equation a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14.

An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

[tex]V = 2.4 L = 0.0024\\P = 86126.25 Pa\\T = 287 K\\m = 0.622\\R = 8.314[/tex]

The ideal gas equation is given below.

[tex]n = PV/RT\\n = 86126.25 x 0.0024 / 8.314 x 287\\n = 0.622 / molar mass (n = Avogardos number)\\Molar mass = 7.18 g[/tex]

As a result, a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.

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Answer:

d,e,f,g,h

Step-by-step explanation:

all those are function  bc the x value doesn't repeat meaning  the x value has only one y-value

The next year's population will be 140,014. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

For all real numbers, there are four fundamental mathematical operations that are:

1. The sum of the numbers is achieved through addition ('+').

2. Subtraction with the sign "-," which yields the numbers' differences.

3. Multiplication('×') when the result is the product of the numbers.

4. Division ('÷'), which yields the numbers' quotient.

We are given that the population of a city increases by 2.2% per year and this year's population is 137,000.

Let the population of next year be 'x'

So, we get

⇒137,000 + 137,000(2.2%) = x

⇒137,000 + 3014 = x

⇒140,014 = x

Hence, the next year's population will be 140,014.

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Data set 2 is not a function, while data set 1 is a function. To turn the data set that is not a function into a function, the point (3,0) can be changed so the x-value is not equal to 1, 3, 5 or 7.

To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.

In input-output format, the points in these relations are given as follows:

(x,y).

Hence a data-set will represent a function if each value of x is mapped to a single value of y.

This means that data-set 1 represents a function, while data-set 2 does not, as the value of x = 3 is mapped to both y = 2 and y = 0.

The data-set 2 will represent a function if one of the x-coordinates of 3 is changed to another x-coordinate, that is also different of the other x-coordinates of the table.

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The value of (x + y) is 25.

What is solving an equation?

We must use arithmetic operations to separate the variables in order to solve any equation.

The same number is added on both sides.

Taking away the same number from both sides.

using the same number on both sides of the multiplication.

using the same number on both sides to divide.

Consider, the given equations

2x^2 - 2y^2 = 125              ..(1)

x - y = 2.5                           ..(2)

From equation (1)

x^2 - y^2 = 125/2

By using:  [tex]a^2 - b^2 = (a - b)(a + b)[/tex]

⇒  (x - y)(x + y) = 125/2

Given:  (x - y) = 2.5

⇒ 2.5*(x + y) = 125/2

           (x + y) = 125/(2*2.5)

            x + y = 125/5

            x + y = 25

Hence, the value of (x + y) is 25.

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Answer: B square root of 40

Step-by-step explanation:

You're trying to find the length of the hypotenuse so you need to use the formula a^2 + b^2 = c^2

c = x

a = 2

b = 6

So 2^2 + 6^2 = x^2

Which equals: 4 + 36 = x^2

This can be simplified into 40 = x^2

And to get x by itself, just take the square root of each side: Square root of 40 = x

In his financial portfolio by adding an appreciating asset is mortgage

The term portfolio is defined as a collection of a wide range of assets that are owned by investors.

Here we have said collection of financial assets may also be valuables ranging from gold, stocks, funds, derivatives, property, cash equivalents, bonds, etc.

Here we have given that Your friend is confused about types of debts.

as per the definition of portfolio, here we must also understand the concept of financial portfolio,

The term financial portfolio is defined as  a collection of investments and holdings like stocks, bonds, mutual funds, commodities, crypto, cash, and cash equivalents.

Hence the correct option is (c).

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A translation is a mapping of a figure in a direction and distance without changing its orientation. The rule for a translation is of the form (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical distances of the translation, respectively.

A reflection is a mapping of a figure across a line, called the line of reflection, without changing its size or orientation. The rule for a reflection is of the form (x, y) -> (x, -y) or (x, y) -> (-x, y), depending on whether the line of reflection is horizontal or vertical, respectively.

A rotation is a mapping of a figure around a point, called the center of rotation, by a certain angle. The rule for a rotation is of the form (x, y) -> (x', y'), where x' and y' are the coordinates of the rotated point, and are given by x' = xcos (theta) - ysin(theta) and y' = xsin(theta) + ycos(theta), where theta is the angle of rotation.

A glide reflection is a composition of a translation and a reflection. The rule for a glide reflection is of the form (x, y) -> (x + h, -y) or (x, y) -> (x, -y + k), depending on whether the line of reflection is horizontal or vertical, respectively, and h or k is the distance of translation.

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The values of a, b, c, and d are 1, 2, 3 and 4, though not necessarily in that order. The greatest possible value of ab + bc + cd + da is 25.

Greatest Possible Value:

For any number, whether decimal or integer, the leftmost non-zero digit is most significant. For decimals, this digit is the first non-zero digit to the right of the decimal point, and for integers it is the first digit in a series of numbers. For example, in the fraction 0.00163925, the most significant digit is 1. In the integer 2,473,981, the most significant digit is 2. Rounding off the most significant digit in these two examples gives a fraction of 0.002 and an integer of 2,000,000.

Given That:

The Values of a, b, c and d is 1 ,2 ,3 and 4

Therefore,

4× 2 + 2 × 1 + 1 × 3 +3 × 4

= 25

Therefore, the greatest possible value of ab + bc + cd + da is 25.

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The inverse of a point (1, 2) on a graph would be the point (2, 1) because it's the reflection of the point (1, 2) over the line y = x.

In general, the inverse of a point (x, y) on a graph is the point (y, x). This is because when we switch the x and y coordinates of a point, we are reflecting it over the line y = x, which is the line of symmetry of the inverse function.

Inverse functions are mathematical operations that "reverse" each other. For example, if f(x) = 2x, then the inverse function f^-1(x) = x/2, when you apply f(x) and then f^-1(x) to a number you'll get the same number, so f^-1(f(x))=x, that's why they are called inverse. Inverse functions are only defined for bijective functions.

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The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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Ram and Shyam laid 80 and 170 bricks respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over.

Let each of them initially laid x and y bricks,

Therefore, establishing the equations,

x + y = 250....(i)

According to later condition,

2x + x/2 = 200

4x + x = 400

5x = 400

x = 80

Put x = 80, in equation (i)

80 + y = 250

y = 170

Hence, Ram and Shyam laid 80 and 170 bricks respectively.

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Answer:

31.25%

Step-by-step explanation:

55- 30 = 25

25/80 x 100 = 125 /4 or 31.25%

I am assuming that the sample size is between 10 and 80.

Cheers

Answer:

31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

The area of the given prism is equal to 1,920 in³.

What is a rectangular prism?

A rectangular prism is simply a three-dimensional solid shape which with six faces that are rectangles.

We have given,

length l = 8  in.

width w = 12 in,

height h = 20 in.

The volume of a prism is defined as the total space occupied by the three-dimensional object.

The volume of a rectangular prism is given by A = l * w * h,

where 'l' is the length of the prism, 'w' is the width, and 'h' is the height.

so, A = 8 * 12 * 20 = 1,920 in³.

A = 1,920 in³.

Therefore, the area of the given prism is equal to 1,920 in³.

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Answer:

To solve this problem, we will use the following steps:

Step 1: Since a pair of dice are tossed, we have 36 possible outcomes (6 outcomes for each die).

Step 2: To find the probability that doubles are rolled, we can find the number of outcomes that result in doubles and divide that by the total number of possible outcomes.

Step 3: To find the probability that the sum on the two dice is less than 7, we can find the number of outcomes that result in a sum of less than 7 and divide that by the total number of possible outcomes.

Step 4: We will use this probability to find the conditional probability of rolling doubles, given that the sum on the two dice is less than 7.

Step 5: To find the number of outcomes that result in doubles, we can consider rolling (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) which are 6 outcomes.

Step 6: To find the number of outcomes that result in a sum of less than 7, we can consider rolling (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (5,1), (5,2) which are 18 outcomes.

Step 7: To find the conditional probability of rolling doubles, given that the sum on the two dice is less than 7, we can find the number of outcomes that result in doubles and sum less than 7 which are (1,1), (2,2), (3,3), (4,4), (5,5) which are 5 outcomes.

Step 8: We can calculate the probability by dividing the number of outcomes that result in doubles and sum less than 7 by the number of outcomes that result in a sum less than 7.

5/18 = 0.278

Final Answer: The probability of rolling doubles, given that the sum on the two dice is less than 7, is 0.278 or 27.8%.

Quadrilateral LMNP has four vertices at the coordinates: L(-4,3), M(2,7), N(9,3), and P(-3,-5).

These vertices can be plotted on to  a Cartesian coordinate plane in order  to form a quadrilateral shape. The shape of the quadrilateral which  can be determined by the relative positions of its one of vertices, such as whether to check  it is a rectangle, square, parallelogram, or any other type of quadrilateral as such . However, without more information or proper data , it is not possible to determine whether the quadrilateral is having  the exact shape of quadrilateral LMNP from just its vertices or not .It is a type of polygon which contains  4 sides, 4 vertices and 4 angles. To make a one  quadrilateral and contains four non-collinear points which  are joined and the sum of all the interior angles and exterior angles is always equal to 360 degrees as we know . The word ‘Quadrilateral’ was initiated  from Latin words ‘Quadra’ and ‘Latus’ which meant four and sides respectively.

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