Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that could describe each situation. I don't know how to word it, please help. Please also give me the sums

The answer is D. Hope this Helped :)

Answer:

\( -ax - 20 = -14 \) => \( x = -\frac{6}{a} \)

\( 4 = \frac{6}{a}x + 5 \) => \( x = -\frac{a}{6} \)

\( 7 + 2ax = 13 \) => \( x = \frac{3}{a} \)

Step-by-step explanation:

\( -ax - 20 = -14 \)

\( -ax - 20 + 20 = -14 + 20 \)

\( -ax = 6 \)

\( \frac{-ax}{-a} = \frac{6}{-a} \)

\( x = -\frac{6}{a} \)

\( 4 = \frac{6}{a}x + 5 \)

\( 4 - 5 = \frac{6}{a}x + 5 - 5 \)

\( - 1 = \frac{6}{a}x \)

\( - 1*\frac{a}{6} = \frac{6}{a}x*\frac{a}{6} \)

\( -\frac{a}{6} = x \)

\( x = -\frac{a}{6} \)

\( 7 + 2ax = 13 \)

\( 7 + 2ax - 7 = 13 - 7 \)

\( 2ax = 6 \)

\( \frac{2ax}{2a} = \frac{6}{2a} \)

\( x = \frac{3}{a} \)

Answer: the answer to this is true

The yield point of iron increases from 135 MPa to 260 MPa as the grain diameter decreases from 0.05 mm to 0.008 mm. To achieve a yield point of 205 MPa, the grain diameter would need to be interpolated between these two values.


The given information suggests an inverse relationship between grain diameter and yield point in iron. As the grain diameter decreases from 0.05 mm to 0.008 mm, the yield point increases from 135 MPa to 260 MPa. To find the grain diameter corresponding to a yield point of 205 MPa, we can interpolate between the two known points.

By calculating the proportional change in yield point relative to the change in grain diameter, we can determine the ratio of the difference between 205 MPa and 135 MPa to the difference between 260 MPa and 135 MPa. This ratio can then be used to determine the corresponding change in grain diameter. The interpolated grain diameter is the point where the yield point would be 205 MPa.

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Tara's probability of roll a \(5\) while spin blue are \(1/18\), or around \(0.0556\) in decimal form.

Blaise Pascal & Pierre de Fermat are recognised as the founders of probability since they created the foundation for the field by thinking through a gambling issue given by Comte de Mere in 1654.

A Norwegian Academy of Sciences, Arts, and Letters awarded Srinivasa Varadhan, an Indian mathematician, the 2007 Abel Prize "for his individually and collectively contribute to probability theory and also in particular for developing a theoretical model of large deviations." Srinivasa Varadhan was born on January 2, 1940 in Madras [now Chennai], India.

The likelihood of spin blue is \(1/3\), assuming that each hue has an identical chance of appearing on the spinner.

\((1/6) * (1/3) = 1/18\)

So the probability of Tara rolling a \(5\) and spinning blue is \(1/18\) or approximately \(0.0556\)as a decimal.

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Answer:

y = (2-3d)/(7+c)

Step-by-step explanation:

-cy + 2 = 3d + 7y

To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.

Our first step is going to be to add cy to both sides of the equation.

- cy + cy + 2 = 3d + 7y + cy

2 = 3d + 7y + cy

Next, we can subtract 3d from both sides of the equation.

2 - 3d = 7y + cy

Next, we can factor out a y from the right side of the equation.

2 - 3d = y (7 + c)

Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.

(2-3d)/(7+c) = y

Therefore, your answer is y = (2-3d)/(7+c).

Hope this helps!

Answer:

0.2

Step-by-step explanation:

First you need to do 1.6-1.2 which is 0.4 so now you know 2x=0.4 you need to divide 0.4 by 2 which is 0.2 hope this helps

An output of given code is,

Type-Error: 'float' object cannot be interpreted as an integer

In Python, range() can only work with integers.

The range() function returns a sequence of numbers, starting from 0 by default, and increments by 1 (by default), and stops before a specified number.

It has parameters, range(start, stop, step)

1) start

It is an integer number specifying at which position to start.

It is an optional parameter of range().

The default value is 0

2) stop

It is an integer number specifying at which position to stop.

It is required parameter of range().

3) step

It is an integer number specifying the incrementation.

It is an optional parameter of range().

The default value is 1.

In this question,

We have been given a code,

for x in range(0.5, 5.5, 0.5):

    print(x)

The output of the above code would be an error.

An output of given code is,

Type-Error: 'float' object cannot be interpreted as an integer

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Answer:

Distributive property is verified.

Step-by-step explanation:

Verifying distributive property:

  a * (b +c) = a*b + a*c

a = -3/11 ;   b = 9/5 ;   c = 1/5

LHS  = a * (b + c)

First Slove that is inside the parenthesis, (b +c)

        \(\sf = \dfrac{-3}{11}*\left(\dfrac{9}{5}+\dfrac{1}{5}\right)\\\\=\dfrac{-3}{11}*\dfrac{10}{5}\\\\= \dfrac{-3}{11}*2\\\\=\dfrac{-6}{11}\)

                  RHS = a * b + a*c

                          \(\sf = \dfrac{-3}{11}*\dfrac{9}{5} +\dfrac{-3}{11}*\dfrac{1}{5}\\\\=\dfrac{-27}{55}-\dfrac{3}{55}\\\\=\dfrac{-30}{55}\\\\=\dfrac{-30 \div 5}{55 \div 5}\\\\=\dfrac{-6}{11}\)

LHs = RHS

Hence, verified

68 kilogram is equal to approximately 150.12 pounds. To convert kilograms to pounds, multiply the number of kilograms by 2.2046.

Kilograms and pounds are two units of measurement used to measure the weight or mass of an object. Kilograms (kg) are the International System of Units (SI) unit of measure for mass, while pounds (lbs) are the United States customary unit of measure for mass. To convert a weight in kilograms to the equivalent weight in pounds, you must multiply the weight in kilograms by 2.2046. This conversion factor is derived from the fact that one kilogram is equal to 2.2046 pounds. For example, 68kg is equal to 68 x 2.2046 = 150.12 pounds. Thus, 68kg is equal to approximately 150.12 pounds. This conversion can be done using a calculator or a conversion chart or table. It is important to note that the conversion factor may be different depending on the country or region. For example, in some countries, the conversion factor is 2.2 instead of 2.2046.

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The equations 12x = 9x^2 + 4, 2x^2 = 6x - 5, and -x^2 - 10x = 34 all have two complex solutions and no real solutions.

The equation 3x^2-5x=-8 has two complex solutions and no real solutions. Let's solve it step-by-step:
1. Start by rearranging the equation in standard quadratic form: 3x^2 - 5x + 8 = 0.
2. Now, we need to use the quadratic formula to find the solutions. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac))/(2a),
where a, b, and c are the coefficients of the quadratic equation.
In our case, a = 3, b = -5, and c = 8.
3. Substitute the values into the quadratic formula:
x = (-(-5) ± √((-5)^2 - 4*3*8))/(2*3).
Simplifying further:
x = (5 ± √(25 - 96))/(6).
x = (5 ± √(-71))/(6).
4. Since we have a negative value under the square root, we can conclude that the solutions are complex.
5. To express the solutions in complex form, we can write them as follows:
x = (5 ± i√71)/(6),
where i represents the imaginary unit (√(-1)).
Therefore, the equation 3x^2-5x=-8 has two complex solutions and no real solutions. The solutions are x = (5 + i√71)/(6) and x = (5 - i√71)/(6).
Now let's check the other equations:
1. 12x = 9x^2 + 4:
This equation is a quadratic equation in the form ax^2 + bx + c = 0. By rearranging it, we get 9x^2 - 12x + 4 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (2 + i√2)/3 and x = (2 - i√2)/3.
2. 2x^2 = 6x - 5:
Again, rearranging the equation gives us 2x^2 - 6x + 5 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (3 + i)/2 and x = (3 - i)/2.
3. -x^2 - 10x = 34:
By rearranging the equation, we get -x^2 - 10x - 34 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (-5 + i√79)/(-1) and x = (-5 - i√79)/(-1).
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answer 19-11+(-17)+(-19)+11= -17

Step-by-step explanation:

The probability of his then drawing a blue marble from his right pocket is

0.456 or 45.6 %  by using conditional probability theorem.

conditional probability, the probability that an event occurs given the knowledge that another event has occurred.

from the given information : considering for notations, let BL, BR, and WL denote drawing a blue marble from the left pocket, a blue marble from the right pocket, and a white marble from the left pocket, respectively. By the Law of Total Probability,

P(BR) = P(BL ∩ BR)+ P(WL ∩ BR)

= P(BL)P(BR|BL)+ P(WL)P(BR|WL)

= ( 5/9)(5/10) + (4/9)(4/10) = (41/90)

= 0.456

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Answer:

Solution in photo

Step-by-step explanation:

Answer:

15:15

(3:15 pm)

Step-by-step explanation:

14:40 (2:40pm)

2:40 + 20 mins = 3:00

3:15 aka 15:15

Answer:

(a) = 0.92
(b) = 0.7613

Step-by-step explanation:

Here are some information to help us answer these problems:

Given That:

P(A) = 0.69
P(B) = 0.23

Then,

Problem (a): P(A ∪ B) when, A ∩ B = ∅:

P(A ∪ B) = 0.69 + 0.23 - 0 = 0.92



Problem (b): P(A ∪ B) when, A ∩ B ≠ ∅:

P(A ∪ B) = 0.69 + 0.23 - (0.69 × 0.23) = 0.7613




I hope you find this easy to understand....

Have any questions? Write in the comments.

give me brainliest if you found this answer useful

Answer:

Step-by-step explanation:

do you know the answer?

Answer:

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} - \frac{ {x}^{2} }{ \sqrt{ {(25 - {x}^{2} )}^{3} } } \)

Step-by-step explanation:

\(x^2 + y^2 = 25\)

\( {y}^{2} = 25 - {x}^{2} \)

\(y = \sqrt{(25 - {x}^{2} )} \)

We have to find the double derivative of above equation,

let's find out the first derivative of above equation,

\(\frac{dy}{dx} = \frac{d}{dx} \sqrt{(25 - {x}^{2} )} \)

We know that,

\( \frac{d}{dx} ( \sqrt{x} ) = \frac{1}{2 \sqrt{x} } \)

but one thing that we should keep in mind, the term inside the root is not x hence we will have to re-diffrentiate the term inside the root.

\( \frac{d}{dx} \sqrt{(25 - {x}^{2} )}= \frac{1}{2\sqrt{(25 - {x}^{2} )}} \frac{d}{dx}{(25 - {x}^{2} )}\)

Derivative of any constant number equals zero,

\(\frac{d}{dx} \sqrt{(25 - {x}^{2} )} = \frac{1}{2\sqrt{(25 - {x}^{2} )}} ( - 2{x})\)

Simplifying above result,

\(\frac{dy}{dx} = \frac{ - {x}}{\sqrt{(25 - {x}^{2} )}} \)

Now let's take the second derivative,

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{d}{dx} \frac{ - {x}}{\sqrt{(25 - {x}^{2} )}} \)

we can write above term in the form of U.V of derivative

\( \frac{d}{dx} U.V = U\frac{d}{dx}V + V\frac{d}{dx}U\)

Similarly,

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{d}{dx} (x \cdot\frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} )\)

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} \frac{d}{dx} x + x\frac{d}{dx}\frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} \)

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} + x\frac{d}{dx}\frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} \)

Now we know that,

\( \frac{d}{dx} \frac{1}{ \sqrt{x} } = - \frac{1}{2 \sqrt{ {x}^{3} } } \)

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} - x \frac{-1}{2 \sqrt{ {(25 - {x}^{2} )}^{3} } } \frac{d}{dx} (25 - {x}^{2} )\)

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} - x\frac{-1}{2 \sqrt{ {(25 - {x}^{2} )}^{3} } } ( -2 {x})\)

\(\frac{ {d}^{2} y}{d {x}^{2} } = \frac{ - {1}}{\sqrt{(25 - {x}^{2} )}} - \frac{ {x}^{2} }{ \sqrt{ {(25 - {x}^{2} )}^{3} } } \)

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Answer:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right) = -\dfrac{1}{y} - \dfrac{x^2}{y^3}}\)

Step-by-step explanation:

We are given an equation of circle with radius of 5 units:

\(\displaystyle{x^2+y^2=25}\)

To find the second derivative, you'd have to differentiate the equation twice.

We can use implicit differentiation to differentiate. Its concept is to derive like a normal for both sides of equation but since we are differentiating with respect to x and we have y-term, we derive normally then multiply by dy/dx or y'.

For simple clarification, you derive normal and apply chain rules. Hence why there's dy/dx multiplied by 2y:

\(\displaystyle{\dfrac{d}{dx}x^2 +\dfrac{d}{dx} y^2 = \dfrac{d}{dx}25}\)

Recall the power rules:

\(\displaystyle{\dfrac{d}{dx}ax^n =n\cdot ax^{n-1}}\)

Chain Rules:

\(\displaystyle{\dfrac{d}{dx}u^n = n u^{n-1} \cdot \dfrac{du}{dx}}\)

Hence:

\(\displaystyle{2x^{2-1} \cdot \dfrac{dx}{dx}+ 2y^{2-1} \cdot \dfrac{dy}{dx} = 0}\)

Note that deriving a constant will always result in 0.

Simplify:

\(\displaystyle{2x+ 2y \dfrac{dy}{dx} = 0}\)

Solve for dy/dx:

\(\displaystyle{2x+ 2y \dfrac{dy}{dx} = 0}\\\\\displaystyle{2y \dfrac{dy}{dx} = -2x}\\\\\displaystyle{\dfrac{dy}{dx} = \dfrac{-2x}{2y}}\\\\\displaystyle{\dfrac{dy}{dx} = -\dfrac{x}{y}}\)

We've finally found the first derivative of relation. However, we have to find the second derivative, so we derive dy/dx to find the second derivative:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{dy}{dx}\right) = \dfrac{d^2y}{dx^2}}\)

Therefore:

\(\displaystyle{\dfrac{d}{dx}\left(-\dfrac{x}{y}\right)}\)

For this, we will be using quotient rules. Keep in mind that both x and y are function!

Recall quotient rules:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{u}{v}\right) = \dfrac{u'v - uv'}{v^2}}\)

Let u = -x and v = y:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right) = \dfrac{(-x)'y - (-x)y'}{y^2}}\\\\\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right) = \dfrac{-1\cdot y - (-x)\cdot \dfrac{dy}{dx}}{y^2}}\\\\\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right)=\dfrac{-y+x\dfrac{dy}{dx}}{y^2}}\)

Now we know that dy/dx = -x/y, so we substitute dy/dx as -x/y in the second derivative:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right)=\dfrac{-y+x\dfrac{dy}{dx}}{y^2}}\\\\\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right)=\dfrac{-y+x\left(-\dfrac{x}{y}\right)}{y^2}}\)

Simplify:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right)=\dfrac{-y-\dfrac{x^2}{y}}{y^2}}\)

More simplification:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right)=\dfrac{-y}{y^2} - \dfrac{\dfrac{x^2}{y}}{y^2}}\\\\\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right) = -\dfrac{1}{y} - \dfrac{x^2}{y^3}}\)

Therefore, the second derivative is:

\(\displaystyle{\dfrac{d}{dx}\left(\dfrac{-x}{y}\right) = -\dfrac{1}{y} - \dfrac{x^2}{y^3}}\)

Answer:

I'm have trouble understanding the answer options.    The quadratic equation is x^2 + x = 342

Step-by-step explanation:

Let x be the first integer, so (x+1) becomes the second.  Their product is 342:

(x)(x+1) = 342

x^2 + x = 342

[The consecutive integers are 18 and 19, or -18 and -19]

The quadratic equation is x² + x = 342.

An integer is a positive, negative, or zero integers (not a fraction). Examples of integers are -5, 1, 5, 8, 97, and 3,043. Examples of non-integers are: -1.43, 1 3/4, 3.14 ,. 09 and 5,643.1. Integers include positive numbers, negative numbers, and zeros.

Integermeans whole or undamaged in Latin. That is, integers do not contain fractions or decimals. In this article, learn more about integers, integer definitions, and integer properties. Integer contains all integers and negative numbers. That is, including a negative number along with an integer from a set of integers.

Let x be the first integer, so (x+1) becomes the second.  Their product is 342:

(x)(x+1) = 342

x² + x = 342

[The consecutive integers are 18 and 19, or -18 and -19].

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Answer:

4n=c

Step-by-step explanation: i took the quiz if this is wrong its prob a differnt

quiz the last person i answered got md at befor i didnt know what quiz she take a.

The angles in a triangle are less than 90 degrees, the triangle is acute, greater than 90 degrees, the triangle is obtuse, and exactly 90 degrees, the triangle is a right triangle.

What is the converse of the Pythagorean theorem?

The converse of the Pythagorean theorem states that if the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

To determine if a triangle is acute, obtuse, or right, we can use the following:

If all the angles in a triangle are less than 90 degrees, the triangle is acute.

If one angle in a triangle is greater than 90 degrees, the triangle is obtuse.

If one angle in a triangle is exactly 90 degrees, the triangle is a right triangle, using the converse of the Pythagorean theorem, c² = a² + b².

Hence, the angles in a triangle are less than 90 degrees, the triangle is acute, greater than 90 degrees, the triangle is obtuse, and exactly 90 degrees, the triangle is a right triangle.

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Answer:

Your friend is correct and its 15

Step-by-step explanation:

15 = 3*5

30 = 2*3*5

GCF = 3*5 = 15

Answer:

Slope:  y = x

Step-by-step explanation:

Two ordered (-5,0) and (0, 5)

slope = Change in the y-values/ change in the x-value

slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1

slope-intercept form: y = mx + b   Using ordered pair (0, 5)

         y = mx + b

         5 = 1(0) + b

          5 = 0 + b

           5 = b

Slope-intercept form: y = mx ; y = x

Answer:

Step-by-step explanation:

umm like 2.8  i think

Answer:

your anser should be number 4 or D just took it brosli

Step-by-step explanation:

Answer:

We suppose that a is the old price in cents

the total cost of 9.20 $ equals 920 cents

so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered

20 xa + 10 x (a + 2) = 920 (cents)

20 xa + 10 xa + 20 = 920

30 xa + 20 = 920

30 xa = 920 - 20

30 xa = 900

a = 900: 30

a = 30 (cents)

therefore the old price for 1 liter of petrol is 30 cents

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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There are 4096 functions from a set with 4 elements to a set with 8 elements.

To find the number of functions from one set to another, we use the formula:

Number of functions = (Number of elements in the codomain)Number of elements in the domain

In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:

Number of functions = 84

Number of functions = 4096

Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.

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