Rearrange the equation so m is the independent variable. 7m + 2 = 7n − 5 , n =

The volume of the sphere is 267. 95 cm³.

The radius of the sphere is 4cm.

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

\(\rm Volume = \dfrac{4}{3} \pi r^3\)

Where r is the radius of the sphere.

Substitute all the values in the formula;

\(\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3\)

Hence, the volume of the sphere is 267. 95 cm³.

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The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

The relationship is not a proportional relationship between S and w.

Saving, S, after w weeks, is represented by the equation

S = 50+45w

If y is proportional to x, then

y ∝ x

y =kx

where k is the constant of proportionality.

Here, no constant term and (0,0) satisfies this equation.

The given equation is

S = 50+45w

Here, we have a constant term.

For S=0 and w=0,

0=50+45×0

0=50

Which is not true as 0 ≠ 50.

Since there is a constant term 50 and the equation is not valid for (0,0), therefore, the given relationship is not a proportional relationship.

I hope this answer helps.

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Answer:

y = -x + 3

Step-by-step explanation:

The line is going down so the slope will be NEGATIVE

The line starts at (0, 3) which means the y-intercept is 3

The slope is -1 or -x

Answer:

only God know the answer

The scenario that represents the expression is Making three payments of $20 each to total paying. Option A

3(-20) denotes three times negative twenty, which is simplified to -60.

This can illustrate the scenario of making three $20 payments to total $60, as each payment of $20 leads in a $60 drop in total. The proper scenario is Option A.

Option B entails paying 20 $3 payments for a total payment of $60, but the phrase 3(-20) does not describe this circumstance.

Option C entails getting money from three pals, which has nothing to do with the payment phrase 3(-20).

Option D entails paying $3 for each of 20 arcade games, for a total payment of $60, although this situation is unrelated to the payment phrase 3(-20).

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Answer:

The answer is 8 : 22, 12:33 as they are two equelivant ratios 11 and 4

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

59689

Step-by-step explanation:

15 times 23= 345

345 times 17.3 = 59689

The probability that the average household income of 4 randomly selected US households is greater than $50000, given a right-skewed distribution with a mean of $40000 and a standard deviation of $20000, is approximately 0.1587 or 15.87%.

To calculate the probability that the average household income of 4 randomly selected US households is greater than $50000, we can use the properties of the sampling distribution of the mean.

Given that the US household income distribution is right-skewed with a mean of $40000 and a standard deviation of $20000, we can assume that the individual household incomes are independent and normally distributed.

To find the probability, we need to calculate the z-score for the given threshold of $50000 and then find the corresponding probability using the standard normal distribution.

First, we calculate the standard error of the mean (SEM) using the formula SEM = (standard deviation) / √n, where n is the sample size. In this case, n = 4.

SEM = $20000 / √4 = $10000

Next, we calculate the z-score using the formula z = (x - μ) / SEM, where x is the threshold value ($50000) and μ is the population mean ($40000).

z = ($50000 - $40000) / $10000 = 1

Now, we need to find the probability of obtaining a z-score greater than 1 from the standard normal distribution. This can be done by referring to the z-table or by using a statistical software.

From the z-table or using a software, we find that the probability of obtaining a z-score greater than 1 is approximately 0.1587.

Therefore, the probability that the average household income of 4 randomly selected US households is greater than $50000 is approximately 0.1587, or 15.87%.

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Answer:

∠Z = 73°

∠Y = 101°

Step-by-step explanation:

∠Z° and ∠107 are supplementary angles so their sum is equal to 180°.

∠Z + 107 = 180

∠Z = 73°

The sum of interior angles in the given rectangle is equal to 360°.

To find the value of y we need to add all measures.

y + 73 + 102 + 84 = 360

y + 259 = 360

y = 101

A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

Speed limits on road traffic, as used basically to set the legal maximum speed at which vehicles are permitted to utilize on a given stretch of road.

Now generally, speed limits are normally indicated on traffic signs reflecting the maximum allowable speed in kilometers per hour (km/h) or eevn miles per hour (mph). They are primarily set by the legislative bodies of national or provincial governments and then enforced by law enforcement agencies. This suggests that speed limits varies from road to road and is even absent in some certain areas.

Now, in this question we are told that the posted speed limit is 55 mph. Thus, from our definitions of speed limits above it is clear that A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

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Answer:

AD=6

Step-by-step explanation:

AE = 9

EC = 4

9+4 = 13

DB = 7  

13-7 = 6

AD = 6

Answer: 9

Step-by-step explanation:

If 12 is the whole length, and 3 is a small section of it, then 3 + j = 12

Or 12 - 3 = j

Therefore, 12 - 3 = 9

Answer:

9 = j

Step-by-step explanation:

12 - j = 3

Adding j to both sides, we get 12 = 3 + j

Combining like terms, we get 9 = j

Answer:

2(x2,y3)= x4,y6

Step-by-step explanation:

the two has to be ditributed to both

The length of ST is 3.

What are chords that intersect inside a circle?

When two chords cross at the center of a circle, the product of the lengths of the segments that each chord is divided into is the same.

Intersecting Chords Theorem

The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.

Here we have,

SU = 6

VS = 2

RS = 4

ST = x(let)

then by intersecting chords theorem

SU * VS = RS * ST

6 * 2 = 4 * x

12 = 4x

x = 3

Hence, the length of ST by intersecting chords theorem is 3.

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The distance the drone has flown after both cars get back to where they started is equal to the length of the diagonal of the square, which is approximately 0.7071.

Since the perimeter of the square is 2, each side of the square has a length of 0.5. Therefore, the total distance around the square is 2 x 0.5 = 1.

Both cars start at the same time and drive clockwise on the perimeter of the square, so they will meet each other exactly halfway around the square. At this point, the drone at the midpoint of the two cars will have flown a distance equal to half the perimeter of the square, which is 0.5.

After the cars complete one full lap around the square and return to where they started, they will have each traveled a distance of 1. Therefore, the distance the drone has flown at this point is equal to the distance between the two cars, which is also equal to the diagonal of the square. Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:

d^2 = 0.5^2 + 0.5^2
d^2 = 0.25 + 0.25
d^2 = 0.5
d = sqrt(0.5)

Therefore, the distance the drone has flown after both cars get back to where they started is equal to the length of the diagonal of the square, which is approximately 0.7071.

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The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.

Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).

First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).

Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).

Now, we substitute these derivatives back into the product rule formula:

g'(x) = f'(x) * h(x) + f(x) * h'(x)

       = 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).

In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹  * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

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Answer:

She earns $2,560

Step-by-step explanation:

She earns 2,560 because this is 8% of 32000. How do we know?
Multiply 32000 by 0.088, which is 8% of 100.

Answer:

Step-by-step explanation:

A reflection over the x-axis changes all the y-values. The reflection is modeled as -f(x)

For example:

\(\sqrt{x}\) would look like --\(\sqrt{x}\) .

If the negative sign is outside of the bracket ( what it's called sorry), then it is a reflection over the x-axis

However if the negative sign was inside the bracket: \(\sqrt{-x}\) then this would be a reflection over the y axis.

Hope this helps!

\((a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)\)

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

Function Family: quadratic

Domain: all real numbers

x-int: (0,0) and (2,0)

y-int: (0,0)

Answer: $0.85

:)

hope this hellps

Answer:

$3.40 per pint

Step-by-step explanation:

4 cups is equal to 2 pints, as there are 4 cups in 2 pints.

So let's set up an equation:

6.80/2

3.40

Mediante el concepto de porcentajes y con base en la población escolar que asistió a la excursión, concluimos que la respuesta es: D. 15 %

En esta pregunta, debemos aplicar el concepto de porcentaje, definido de la siguiente manera para el caso en cuestión:

\(n =100\,\% - \frac{n_{E}}{n_{T}}\times 100\,\%\) (1)

Donde:

En este caso tenemos el número de integrantes de la escuela como población total, mientras que la cantidad de estudiantes que no asiste se calcula del total de estudiantes de la escuela y la cantidad de estudiantes que asistieron a la excursión.

El porcentaje se obtiene de multiplicar por 100 la razón de estudiantes faltantes sobre el total

Si sabemos que \(n_{E} = 1088\) y \(n_{T} = 1280\), entonces la cantidad de estudiantes que faltaron a la excursión fueron:

\(n = 100\,\% -\frac{1088}{1280}\times 100\,\%\)

\(n = 15\,\%\)

15 % de los alumnos faltó a la excursión. Por ende, la opción correcta es D.

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Usando porcentaje, se encuentra que 15% faltaron, y la opcion correta es D.

--------------------

La porcentage representada por una medida M sobre el total de T es dada por:

\(P = \frac{M}{T} \times 100\%\)

--------------------

La porcentage es de:

\(P = \frac{192}{1280} \times 100\% = 15\%\)

Opción D.

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Answer:B I’m not sure if it is correct

Step-by-step explanation: