Which statement is true?

1) The slope of Function A is
greater than the slope of
Function B.

2) The slope of function A is less than the slope of function B.

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The price of a used compact disk is $9.99.

Well, this is a system of 2 equations and 2 unknowns.

Let n = the price of new compact disks and let

u = the price of used compact disks.

Then the first equation would be 6n + 2u = 127.92.

The second equation would be

3n+8u = 133.89.

So our system is,

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

6n + 2u = 127.92

3n+8u = 133.89

Since I don't like working with decimals I would multiply both equations by 100 that way it would get rid of the decimal.

Doing so results in the following system

600n+200u = 12792

300n+800u = 13389

Now we want to know how much one used disk sells for.

To do that we multiply the bottom equation by -2 and add it to the top equation.

-2(300n+800u = 13389)

=> -300n-1600u = -26778

Now we add that to the top equation

600n+200u = 12792

+(-300n-1600u = -26778)

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

-1400u = -13987

Now we solve for u by dividing both sides by -1400 and we see that

u = 9.99.

So the price of a used compact disk is $9.99.

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Answer:

The answer is option 1

Answer:

Option 1

Step-by-step explanation:

Answer:

3.6 in³

This should be the correct answer, good luck!

Answer:

7.03%

Step-by-step explanation:

The percentage of the life time cost which was the interest is; Choice B; 13.21%

Since, the APR is compounded monthly at an Annual percentage rate, APR of 11.27%, it follows that;

Hence, the total amount to be paid over the two and half years is; A = $1017.38.

Hence, the interest is given as;

The cost of electricity bill at $0.36 per day, (Assuming that there were two leap years over the period).

Hence, the lifetime cost of the laptop is; $789.12 + $1017.38 = $1806.5.

Ultimately, the required percentage is;

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Answer:

The Combined Volume is 9000 Cubic Inches

Step-by-step explanation:

First, volume is the multiplacation of the 3 measurements. So we just need to multiply the 3 sides then add the solution to itself to get the doubled value. This gives you 9000 cubic inches for the 2 coolers.

Answer:

The answer is 9!

Answer:

The functions are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

Both iSpice and Spice Magic charge $90.50 for 6 pounds of paprika.

Step-by-step explanation:

A linear equation has the general shape:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the function passes through the points: (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Ok, knowing this, let's look at the first table, we need to work with only two points, so let's use the first one (1, $16.75) and the second one (2, $31.50)

Then the slope of the equation is:

a = ($31.50 - $16.75)/(2 - 1) = $14.75

Then the equation is something like:

y = f(x) = $14.75*x + b

To find the value of b, we can use one of the two points. For example, the point (1, $16.75) means that when x = 1, we must have y = $16.75

Replacing these values in the equation we get:

$16.75 = f(1) = $14.75*1 + b

$16.75 - $14.75 = b = $2

Then the function f(x) is:

f(x) = $14.75*x + $2

Now let's go to the other function, again we can choose two points, let's use the first one (1, $29.25) and the third one (3, $53,75).

Then the slope is:

a = ($53.75 - $29.25)/(3 - 1) = $12.25

Then the equation is something like:

y = s(x) = $12.25*x + b

To find the value of b we do the same as before, if we use the first point (1, $29.25) we get:

$29.25 = s(1) = $12.25*1 + b

$29.25 - $12.25 = b = $17

Then this equation is:

y = s(x) = $12.25*x + $17

The two equations are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

b) now we want to find the value x such that the price is the same in both cases, then we need to solve:

f(x) = g(x)

$14.75*x + $2 =  $12.25*x + $17

$14.75*x - $12.25*x = $17 - $2

$2.5*x = $15

x = $15/$2.5 = 6

This means that for 6 pounds of paprika the price is the same on both companies, and the price is:

f(6) = g(6) = $14.75*6 + $2 = $90.50

Answer:

x=5

Step-by-step explanation:

4x+2=2x+12

4x-2x=12-2

2x=10

x=10/2

x=5

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

that is the complete answer to the question

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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Therefore, to the nearest tenth of a year, the person must leave the money in the bank for 3.9 years until it reaches 7600 dollars.

A percent is a way of expressing a number as a fraction of 100. It is represented by the symbol %. Percentages are often used to represent proportions, rates, or changes in values.  Percentages can also be used to compare two quantities. This allows us to compare the relative size of the increase, regardless of the actual dollar amount involved.

Here,

We can use the formula for compound interest to solve this problem. The formula is:

A = P(1 + r/n)*(nt)

where A is the amount of money after t years, P is the principal (the initial amount invested), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

In this problem, we know that P = 4500, r = 0.0525 (since the interest rate is 5.25%), n = 365 (since interest is compounded daily), and we want to find t when A = 7600.

Substituting these values into the formula, we get:

7600 = 4500(1 + 0.0525/365)*(365t)

Dividing both sides by 4500, we get:

1.6889 = (1 + 0.0525/365)*(365t)

Taking the natural logarithm of both sides, we get:

ln(1.6889) = ln[(1 + 0.0525/365)*(365t)]

Using the properties of logarithms, we can simplify the right-hand side:

ln(1.6889) = 365t ln(1 + 0.0525/365)

Dividing both sides by 365 ln(1 + 0.0525/365), we get:

t = ln(1.6889) / [365 ln(1 + 0.0525/365)]

Using a calculator, we find that t is approximately 3.9 years (rounded to one decimal place).

t=3.9

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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The following angles and length of sides for the given right triangle are-

1. m∠DGE = 45; 2. m∠EDG = 85; 3. FD = 10; 4. GD = 10√2; 5. EG = 28.34.

Alternative Interior Angles: Angles are created on the inside, the interior, of two other lines when a third line known as the transversal crosses them. These other lines are typically parallel. The alternate internal angles are those that are perpendicular to one another.

From the given angles on the figure:

1. m∠DGE = ?

m∠DGE = m∠BAD = 45 (alternate interior angles)

2. m∠EDG = ?

m∠EDG = 180 - 45 - 50 (angle sum property of triangle)

m∠EDG = 85

3. FD = ?

tan 45 = FD / FG

FD = 10 * tan 45

FD = 10

4. GD = ?

Cos 45 = FG / DG

DG = 10 / cos 45

DG = 10/ (1/√2)

DG =  10√2

5. EG = ?

EG = EF + FG

EF = 13 / cos 50

EF = 18.34

EG = 18.34 + 10 = 28.34

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Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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The circumference of the circle with the dimensions radius = 6 and π = 3.14 is 37.68

The circumference of a circle refers to the line that bounds a circle or other two-dimensional figure.

Circumference of a circle = 2πr

Where,

Circumference of a circle = 2πr

= 2 × 3.14 × 6

= 37.68

Therefore, the circumference of the circle is given by 37.68

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Answer:

-3 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)\)

When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Given that,

given two points and asked to find the equation of the line in slope-intercept form.

Find that,

what are the correct steps? Place a number next to the step to put them in order.

Explanation:

to find the equation of the line in slope intercept form form given two points.

step 1 :

find the slope.

step 2

write equation in point slope form

step 3.

pick a point form the given points , substitue it into the point slope form

step 4.

write the equation in slope intercept form by simplifying

Final Answer.

Hence , the correct order is 2 , 1 , 4 , 3.

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Answer:

Converges to \(\frac{\sqrt{\pi }}{2}\)

Step-by-step explanation:

\(\int _0^{\infty \:}e^{-x^2}dx\) = \(\lim_{b \to \infty}\) \(\int _0^{b \:}e^{-x^2}dx\) =  \(\frac{\sqrt{\pi }}{2}\)

steps:

write improper integral as a limit

solve integral

apply limit

If limit exists and this number is finite, the improper integral converges

Answer:

that looks so complicated im dropping out

Step-by-step explanation:

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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Answer:p(x) = x^3– 4x^2+ 3x + c................................

Step-by-step explanation:

Answer:

Mrs. Perry

Step-by-step explanation:

find the ratio by dividing the petunias by the daffodils

Ms. H =3

Mr. M = 3.5

mrs. P= 3.75

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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The correct equation to calculate c is (c) 56 + 38 + c = 180

From the question, the given parameter is the triangle

The angles in the triangle are represented as

c, 56 and 38

The sum of angles in a triangle is 180 degrees

Mathematically, this statement can be represented as

Sum of angles in a triangle = 180 degrees

Substitute the known values in the above equation, so, we have the following representation

c + 56 + 38 = 180

Hence, the equation is (c)

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The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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The experimental probability of drawing an A or 2 is 1/10.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To find the experimental probability of drawing an A or 2, we need to add the frequency of drawing an A and the frequency of drawing a 2 and divide it by the total number of draws.

Frequency of drawing an A = 8

Frequency of drawing a 2 = 12

Total frequency of drawing an A or 2 = 8 + 12 = 20

Total number of draws = 200

Experimental probability of drawing an A or 2 = Total frequency of drawing an A or 2 / Total number of draws = 20 / 200 = 1/10

Therefore, the experimental probability of drawing an A or 2 is 1/10.

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The exponential form of 6 × 6, is written as: 6².

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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