A student wants to know which of two rappers reps the fastest. The graph below represen the average number of words Rapper 1 could rap based on the number of words in his most popular song and the length of the song. Number of Words Rapped Answer 315 245 175 140 105 70 35 RAPPER 1 0 0.5 1 1.5 2 2.5 3 3.5 4 Time (min) The equation y = 156x can be used to represent the average number of words, y, that Rapper 2 could rap in x minutes based on the number of words in her most popular song and the length of the song. How many more words per minute does the faster rapper rap than the slower rapper? words per minute​

Answer:

We conclude that it would take 4.5 minutes to fill the full barrel.

Step-by-step explanation:

It is stated that it took 3/4 of a minute to fill a barrel 1/6 full of water.

It is conditioned that the water continues at the same rate.

so

Total parts of a barrel = 6

It takes 0.75 minutes to fill the 1 part of a barrel

Thus, multiply 0.75 by 6 will determine the total time in minutes to fill all the 6 parts of a barrel (or a full barrel).

i.e.

0.75 × 6 = 4.5 minutes.

Therefore, we conclude that it would take 4.5 minutes to fill the full barrel.

The ordered pair (3,4) in relation to origin is plotted as:

3 spaces to the right and 4 spaces up

When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).

In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

At a speed of 100 km/hr, it would take approximately 29 hours or 1,740 minutes to travel through the mantle.

The mantle is a layer of the Earth located between the crust and the core. It is composed of solid rock materials and is much thicker than the oceanic crust or continental crust. The thickness of the mantle is approximately 2,900 kilometers (km).

To calculate the time it would take to travel through the mantle at a speed of 100 km/hr, we can use the formula Time = Distance / Speed. The distance we need to consider is the thickness of the mantle, which is 2,900 km.

Time = (Thickness of Mantle) / (Speed)

Time = 2,900 km / 100 km/hr = 29 hours

Since the question asks for the time in a specific unit, we need to convert 29 hours into minutes:

Time = 29 hours * 60 min/hr = 1,740 minutes

The correct answer is C. 28.9 hours. This calculation is based on the assumption that we are considering the entire thickness of the mantle, which is approximately 2,900 km. It's important to note that the actual thickness of the mantle can vary in different regions of the Earth, but the given answer provides a reasonable estimation for the travel time through the mantle at the given speed.

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Three pairs of coordinate points that form a line segment with a slope greater than 2 are: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7), (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13), (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

To find three pairs of coordinate points that form a line segment with a slope greater than 2, we need to choose pairs of points where the difference in y-coordinates is at least twice the difference in the corresponding x-coordinates.

Here are three pairs of coordinate points that satisfy this condition:

1.  (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 0) / (3 - 0) = 7/3, which is greater than 2.

2.  (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (13 - 3) / (5 - 1) = 10 / 4 = 5 / 2, which is also greater than 2.

3. (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (9 - 1) / (2 - (-2)) = 8 / 4 = 2, which is exactly 2, but if we extend the line segment beyond these two points, the slope will become greater than 2.

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Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:

Options A and Option B

Step-by-step explanation:

All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.

In other words, edge AX is common in planes AXU and AXS,

Edge XI is common in planes XIB and AXS,

Edge SI is common in planes EBS and AXS,

Edge AS is common in planes CEA and AXS.

Therefore, plane AXS is intersecting planes AXU and EBS.

Options A and Option B are the correct options.

THE ANSWER IS C

its asking the percentage of cats that are no more than 7 pounds

Answer:

C

Step-by-step explanation:

x^2/12.25 + y^2/4 = 1

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be \(\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1\)

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:

\(\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1\)

Coordinates of its foci would be: \((h \pm c, k)\)  where   \(c^2 = a^2 - b^2\)

If its major axis is parallel to y-axis, then,

Coordinates of its foci would be: \((h , k\pm c)\) where \(c^2 = a^2 - b^2\)and its equation would be:

\(\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1\)

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.

The carpenter sketches a drawing of the tabletop on a coordinate plane.

The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.

then, the equation of that ellipse would be:

\(\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1\)

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The values of x and y of the corresponding sides of the congruent triangles  are;

y = 3.8

x = 4.6

There are 5 main congruence postulates pertaining to congruent triangles and they are;

SSS - Side Side Side congruence postulate

SAS - Side Angle Side congruence postulate

ASA - Angle Side Angle congruence postulate

AAS - Angle Angle Side congruence postulate

HL - Hypotenuse Leg Congruence Postulate

Now, we are given the three sides of both triangles that are said to be congruent and this means that the three corresponding sides are congruent. Thus;

AB = DE;

10 = 3x - y    ------(1)

Similarly;

BC = EF

18.8 = 6y - 4   -----(2)

Add 4 to both sides in equation 2 to get;

22.8 = 6y

y = 22.8/6

y = 3.8

Thus;

10 = 3x - 3.8

3x = 13.8

x = 13.8/3

x = 4.6

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Answer:

square root of 17, 4 2/3, 5.2, square root of 32

Step-by-step explanation:

square root of 17 = 4.123105625617661

Square root of 32 = 5.656854249492381

4 2/3 = 4.66.....

Answer:

Sketch of a cube with side = 4 in as shown.

The shaded area is perpendicular to the right and left vertical faces of the cube, so the cross section is a square with each side equal to 4 in.

The area of the cross section is

4*4 = 16 in²

The perimeter of the cross section is

4+4+4+4 = 16 in.

Answer:

16 and 16

Step-by-step explanation:

Debit Income Summary $23,000; credit Owner Capital $23,000.

The entry to close the income summary account will be to debit the Income Summary by $23,000 and credit the Owner Capital account by $23,000. This entry transfers the net income or loss from the income summary account to the owner's capital account. Since the income summary account has a debit balance of $23,000, it means that expenses exceeded revenues, resulting in a net loss. By crediting the Owner Capital account, the loss is allocated to the owner's equity, reducing their capital by the amount of the loss.

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The values from the given replacement set make up the solution set of the inequality is {8, 9, 10]

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Let's solve the inequality to find the replacement set that make up the solution set of the inequality as follows:

m + 7 < 18

subtract 7 from both sides of the inequality

m + 7 < 18

m + 7 - 7 < 18 - 7

m < 11

Therefore, the set of value of m is less that 11.

The solution sets are {8, 9, 10}

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Answer:

x<25

Step-by-step explanation:

Johnny cannot work more than 25 hours each week that implies that the inequality sign cannot be an equal to. I do not know if there is an option where x is less than 25, but if there is that would be the answer.

Answer:

sqrt(11)

Step-by-step explanation:

a^2+b^2 = c^2

a = 5

c = 6

b = ?

25 - b^2 = 36

36 - 25 = b^2

b = sqrt(11)

The ladder should be 7.81 feet long.

Pythagoras theorem tell us the relation between the sides of a right-angled triangle, it states, the sum of the squares of the base and perpendicular is equal to the square of the hypotenuse.

Given that, Aubrey is building a slide for her kids. If the ladder is 6 feet tall, and she wants the bottom of the slide to be 5 feet from the ladder,

This slide is in the form of a right triangle, therefore applying the Pythagoras theorem, we have,

a²+b² = c² (refer to the figure attached)

5²+6² = c²

c² = 25+36

c² = 61

c = √61

c ≈ 7.81

Hence, the length of the slide should be 7.81 feet.

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Answer:

5.5 miles = 348480 inches

Step-by-step explanation:

Formula: multiply the value in miles by the conversion factor '63360'.

So, 5.5 miles = 5.5 × 63360 = 348480 inches.

Answer:

348480

Step-by-step explanation:

5.5 times 63360 = 348480

===================================================

Explanation:

Let's solve the first equation for y

4x - 2y = 6

4x-6 = 2y

2y = 4x-6

y = (4x-6)/2

y = (4x/2) - (6/2)

y = 2x - 3

After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3

Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).

Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.

You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.

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

Here's another approach using substitution

4x - 2y = 6 ... start with the first equation

4x - 2( y ) = 6

4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3

4x - 2(2x) - 2(-3) = 6

4x - 4x + 6 = 6

0x + 6 = 6

0 + 6 = 6

6 = 6

We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.

Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.

\(\\ \sf\longmapsto f(x)=(x-a)(x-b)(x-c)\)

\(\\ \sf\longmapsto f(x)=(x+2)(x-1)(x-4)\)

\(\\ \sf\longmapsto f(x)=(x^2+x-2)(x-4)\)

\(\\ \sf\longmapsto f(x)=x(x^2+x-2)-4(x^2+x-2)\)

\(\\ \sf\longmapsto f(x)=x^3+x^2-2x-4x^2-4x+8\)

\(\\ \sf\longmapsto f(x)=x^3-3x^2-6x+8\)

Answer:

literally 0

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 3.

Step 4: Check if solution is correct.

Therefore, x = 10.

Answer:

$23.75

........................

Answer: $23.75

Step-by-step explanation:

$5.50a+$4.25s

$5.50(2)+$4.25(3)

= $23.75

a= is adult tickets

s=student tickets

Answer: The value of e^(-∞) (e to the power of negative infinity) is equal to zero.

To see why, recall that e is a positive constant approximately equal to 2.71828. As the exponent approaches negative infinity, e^(-∞) represents the limit of a number getting closer and closer to zero but never actually reaching zero.

We can use the limit definition to evaluate the limit of e^(-x) as x approaches infinity:

lim e^(-x) = 0

x→∞

To see this, note that as x becomes very large, the denominator e^x becomes very large, causing the fraction to approach zero. Since the limit of e^(-x) as x approaches infinity is zero, we can say that e^(-∞) is also equal to zero.

In summary, e^(-∞) = 0.

Step-by-step explanation:

Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Therefore , the solution of the given problem of fraction comes out to be Jackson will finish 5/16 of the terrace every hour.

Any arrangement of portions or pieces of similar sizes can symbolize a whole. Standard English refers to quantity as "a fraction" in a specified measure. 8, 3/4. Wholes also include fractions. The ratio of the divisor compared to the ratio is used in mathematics to represent numbers. These are all illustrations of fundamental fractions that split by whole numbers.

Here,

We must figure out how much of the terrace Jackson can finish in an hour in order to calculate the percentage of the patio he completes each hour.

We can commence by calculating the percentage of the patio he can finish in an hour using the information provided.

He finished 1/8 of the terrace in 2/5 hours, which we can calculate by dividing 1/8 by 2/5:

=> (1/8) ÷ (2/5) = (1/8) x (5/2)

=> 5/16

Jackson can therefore finish 5/16 of the terrace in one hour.

As a result, Jackson will finish 5/16 of the terrace every hour.

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The Gini index corresponding to the Lorenz curve L(x) = x¹² is 0.6. 35% of the total income is received by approximately 18.42% of the population.

The Lorenz curve represents the cumulative distribution of income across a population, while the Gini index measures income inequality. To calculate the Gini index, we need to find the area between the Lorenz curve and the line of perfect equality, which is represented by the diagonal line connecting the origin to the point (1, 1).

In the given Lorenz curve L(x) = x¹², we can integrate the curve from 0 to 1 to find the area between the curve and the line of perfect equality. By performing the integration, we get the Gini index value of 0.6. This indicates a moderate level of income inequality.

To determine the percentage of the population that receives 35% of the total income, we analyze the Lorenz curve. The x-axis represents the cumulative population percentage, while the y-axis represents the cumulative income percentage.

We locate the point on the Lorenz curve corresponding to 35% of the total income on the y-axis. From this point, we move horizontally to the Lorenz curve and then vertically downwards to the x-axis.

The corresponding population percentage is approximately 18.42%.

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The value of $m$ is $43$.

The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.

To find the value of $m$, we can then set up the equation:

                                $0\equiv 215\pmod m$

and find all possible values of $m$ that make this equation true.

Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.

Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.

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Answer:

socjjwpfhaoduen egg prhnfjwof

Answer:

see explanation

Step-by-step explanation:

Each square on the grid is \(\frac{1}{2}\) unit , then

coordinates of P are (2 \(\frac{1}{2}\), 0 )

coordinates of T are ( - 1 \(\frac{1}{2}\), - 1 )

Point R is located at ( \(\frac{1}{2}\), - 2 \(\frac{1}{2}\) )

Given data:

The given equations are x - 2y = -1 and 2x + 3y = 12.

The given point of intersection is the solution of the equation which is (3, 2).

Thus, the solution of the given equations is (3, 2).