Jae makes a playlist of 24 songs for a party. Since he prefers reggaeton and hip-hop music, he builds the playlist from those two types of songs.

Determine two different combinations of reggaeton and hip-hop songs that Jae could use for his playlist.

Answers

Answer 1

The different combinations of reggaeton and hip-hop songs that Jae could use for his playlist include:

10 reggaeton and 14 hip hop music 18 reggaeton and 6 hip hop music

How to calculate the combination?

In this scenario, Jae makes a playlist of 24 songs for a party and he prefers reggaeton and hip-hop music and then builds the playlist from the two music types.

In this case, the combination will be gotten by the addition of two values that can give 24.

The combination can include:

10 reggaeton + 14 hip hop music = 24 songs

18 reggaeton + 6 hip hop music = 24 songs.

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Related Questions

help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

  (a) in 2001: 150.4 thousand

  (b) in 2018: 467.5 thousand

Step-by-step explanation:

You want the value of the expression modeling the number of students abroad for different values of x. That expression is 123.1(1.069^x).

(a) 2001

The value of x is the difference between the year (2001) and the reference year (1998). In the attachment, we let the calculator find that difference. It tells us, for x = 2001 -1998 = 3, the number of students is about ...

  y = 123.1(1.069^3) ≈ 150.4 . . . . thousand

(b) 2018

In 2018, the value of x is 2008 -1998 = 10, and the number of students studying abroad is ...

  y = 123.1(1.069^10) ≈ 467.4 . . . . thousand

Victoria needs an average of 90% to get an "a" in science class. so far her scores are 88. 86, and 92. what is the lowest score she can get to receive an "a" in science?

Answers

By solving a linear inequation, it is obtained that

Victoria should get a minimum marks of 94 to get 'a' in science

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, [tex]\geq[/tex], [tex]\leq[/tex]

A one degree inequation is known as linear inequation.

Here, an inequation needs to be solved

Suppose the full marks of Victoria in each subject is 100

Marks obtained by Victoria in Science = 88, 86, 92

Let the fourth marks be x,

Average marks = [tex]\frac{88 + 86 + 92 + x}{4}[/tex]

                          = [tex]\frac{266 +x}{4}[/tex]

By the Problem,

                         [tex]\frac{266 + x}{4} \geq 90\\266 +x \geq 90\times 4\\266 +x \geq 360\\x \geq 360-266\\x\geq 94[/tex]

Victoria should get a minimum marks of 94 to get 'a' in science

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What is the diameter of a sphere with a volume of 78006\text{ in}^3,78006 in 3 , to the nearest tenth of an inch?.

Answers

The diameter of the sphere is 53.01 inches.

What is volume of sphere?

The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere.

Given, volume of the sphere = 4/3πr^3

Where r is the radius of the sphere.

Therefore,

( 4/3 ) πr³ = 78006 inch³

πr³ = 78006

r³ =   18622.56 inch³

r = 26.506

We know diameter = 2r

d = 53.01 inches.

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Robert cuts a string that's 4 feet long into pieces that are each 2/6 foot long​

Answers

Answer:

12 pieces

Step-by-step explanation:

Number of pieces Robert cuts

= 4 feet ÷ [tex]\frac{2}{6}[/tex] feet

= 12 pieces

my homework is due tomorrw and i its 10:30 but i cant get this question
please help

Answers

Answer: w= -18

Step-by-step explanation:

1.) 3(6t2+5t+-4)

2.) 12(-2)power of 2+15(-2)-12

3.) 24-30-12

4.) -6-12

5.) -18

30 points if you get this right

look at image below

Answers

The intervals where the graph is decreasing are given as follows:

-1 < x < 0.0 < x < 1.

How to identify where the function is increasing and where it is decreasing?

The behavior of the function regarding increase or decrease depends on the orientation of the graph, as follows:

Increasing function: moving along to the right on the graph, the line of the function is moving up.Decreasing function: moving along to the right on the graph, the line of the function is moving down.

Hence the intervals describing the behavior of the function are given as follows:

Left of x = -1: increasing.Between x = -1 and x = 1: decreasing.Right of x = 1: increasing.

The decreasing interval can be divided into two intervals, as follows:

-1 < x < 0.0 < x < 1.

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Mike is a new photographer. In order for his work to get exposure, Mike has decided to have a booth at an arts festival. He is
charging $21.49 for his color prints and $29.84 for his black and white prints. Which is a reasonable amount that Mike would make if
he sold 7 color prints and 4 black and white prints?
OA. $561.00
OB. $267.00
OC. $357.00
OD. -$27.00

Answers

Answer: The reasonable amount that Mike would make if he sold 7 color prints and 4 black and white prints is OB 267 dollar

What do three-variable linear equations mean?

A linear equation in three variables is ax + by + cz = r if a, b, c, and r are real integers (and if a, b, and c are not all equal to 0).

How can a system of three linear equations be solved?

Choose two equation pairs from the system. Use the addition/subtraction method to remove the same variable from each pair. then use the Addition/Subtraction method to solve the system of the two newly discovered equations.

Assume there are "x" number of touchdowns, "y" extra-point kicks, and "z" number of field goals.

Step-by-step explanation:
Given that
For color print he charge x = 21.49 dollar
For black and white print he charge y = 29.84 dollar
Equation of his money
[tex]21.49(x)+29.84(y)=z[/tex]
Z is the money he earn

Now putting the value of x and y we get value of z
[tex]21.49(7)+29.84(4)=z\\z= 269.79[/tex]
Which is closest to 267 dollar
Hence the answer is Option B $267.00

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On saturdays, cars arrive at sami schmitt's scrub and shine car wash at the rate of 6 cars per fifteen minute interval. Using the poisson distribution, the probability that five cars will arrive during the next five minute interval is.

Answers

The probability that five cars will arrive during the next thirty minute interval is 0.0361

What is probability?

Probability is a way of calculating how likely something is to happen. Numerous things are difficult to forecast with absolute confidence.

Main Body:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 15 minutes is 6.

The average number of cars arriving in 1 minute is = 6/15 = 2/5

The average number of cars arriving in 5 minutes is, (2/5)*5 = 2

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of X is:

P(X=[tex]x[/tex]) = [tex](e^{-2} 2^{x} )/x![/tex]  , x = 0,1 ,2 ,3...

Compute the probability that 5 cars will arrive in 5 minutes as follows:

P(X=5) =[tex](e^{-2} 2^{5} )/5![/tex]

P (X= 5) = 0.0361

Hence probability is 0.0361

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Solve for X

HELPPPPPPPPPPPPP

Answers

Okay x=15 the way you find that is because every corner of a square equals 90 degrees and the line through the square cuts them into 45 degrees so the equations you use is 2x +15 =45 and 6x -45=45. Which turn into 2x =30 and 6x=90 the answer to both being x=15.
Hope this helps

Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford a monthly bill of $86.00.

Which statement is true?

Answers

The consumption of minutes should be less than or equal to 500 for each month.

A linear equation is a first-order (linear) term and a constant in an algebraic equation of the form y=mx+b.

The telephone bill of Chris can be written in the form of linear equation.

C(x)=$26.00+$0.12x

Here x is the number of minutes, for every one minute there is a charge of $0.12.

Chris can afford monthly bill of $86 or less not more. The linear inequality can be written as,

$26.00+$0.12x<=$86

$0.12x<=$86-$26.00

$0.12x<=$60

x<=$60/$0.12

x<=500.

The number of minutes that Chris should use should be less than or equal tp 500.

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Find the coordinates of triangle PQR with vertices P(-3, -2), Q(-1, 4), and R(2, -2) under the translation
(x,y) → (x+2y-4)
a. P'(-1, 2), Q'(1,8), R(4, 2)
b. P'(-5, -6), Q'(-3, 0), R(-4, -6)
c. P'(-1, -6), Q'(1, 0), R(4, -6)
d. P'(-5, 2), Q'(-3, 8), R(-4, 2)

Answers

The coordinates of triangle PQR under the translation (x,y) → (x+2,y-4) are P'(-1,-6), Q'(1,0), R'(4,-6).

Translation of coordinates is done by adding the horizontal translation at each vertex of the triangle. It is the process of shifting the location of the figure without changing the size and dimensions of the figure.

The coordinates of the triangle PQR are given as P(-3,-2), Q(-1,4), R(2,-2). The property under translation is given as (x,y) → (x+2,y-4). Now, let us apply this for all vertices.

P(-3,-2) → P'(-3+2,-2-4) → P'(-1,-6)

Q(-1,4) → Q'(-1+2,4-4) → Q'(1,0)

R(2,-2) → R'(2+2,-2-4) → R'(4,-6)

Thus, the vertices after translation are P'(-1,-6), Q'(1,0), R'(4,-6).

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please help with this qn asap!! tyy!!​

Answers

Answer:

i) AC = 6 - √3 cmii) BC² = 37 - 12√3  cm²

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

Given triangle withArea of 1/4(12 + 9√3),Side AB = √3 + 2,Angle BAC is 60°.

Part i

Find the side AC.

Use area formula:

A = ab sin∠C / 2, where a, b are adjacent sides and C is angle between a and b.

Substitute and solve for AC:

1/4(12 + 9√3) = (√3 + 2) AC sin(60°) / 21/4(12 + 9√3) = AC (√3 + 2) (√3/2) / 2(12 + 9√3)/4 = AC √3(√3 + 2)/412 + 9√3 = AC√3(√3 + 2)AC = (12 + 9√3) /√3(√3 + 2)AC = (4√3 + 9) / (√3 + 2)AC = (4√3 + 9)(√3 - 2) / (√3 + 2)(√3 - 2)AC = (4√3√3 + 9√3 - 8√3 - 18) / (3 - 4) AC = (4*3 + √3 - 18) / ( - 1)AC = -  (√3 - 6)AC = 6 - √3

Part ii

Use the law of cosines

BC² = AB² + AC² - 2 × AB × AC × cos ∠ABC² = (√3 + 2)² + (6 - √3)² - 2(√3 + 2)(6 - √3) cos 60°BC² = 3 + 4 + 4√3 + 36 + 3 - 12√3 - 2(6√3 - 3 + 12 - 2√3) / 2 BC² = 46 - 8√3 - (4√3 + 9)BC² = 46 - 8√3  - 4√3 - 9BC² = 37 - 12√3

Answer:

[tex]\textsf{(i)} \quad \left(6-\sqrt{3} \right)\; \sf cm[/tex]

[tex]\textsf{(ii)} \quad \left(37-12\sqrt{3}\right)\; \sf cm^2[/tex]

Step-by-step explanation:

Part (i)

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Area of a triangle} \\\\$A=\dfrac{1}{2}ab \sin C$\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides enclosing the angle. \\\end{minipage}}[/tex]

Given:

[tex]\textsf{Area}=\dfrac{1}{4}(12+9\sqrt{3})[/tex][tex]a=(\sqrt{3}+2)[/tex][tex]C=60^{\circ}[/tex]

Substitute the given values into the formula to find AC (side b).

[tex]\begin{aligned}\textsf{Area}&=\dfrac{1}{2}ab \sin C\\\\\implies \dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{1}{2}(\sqrt{3}+2)b \sin 60^{\circ}\\\\\dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{1}{2}(\sqrt{3}+2) \dfrac{\sqrt{3}}{2}b\\\\\dfrac{1}{4}(12+9\sqrt{3})&=\dfrac{\sqrt{3}}{4}(\sqrt{3}+2)b\\\\12+9\sqrt{3}&=\sqrt{3}(\sqrt{3}+2)b\\\\12+9\sqrt{3}&=(3+2\sqrt{3})b\\\\b&=\dfrac{12+9\sqrt{3}}{3+2\sqrt{3}}\\\\b&=\dfrac{12+9\sqrt{3}}{3+2\sqrt{3}}\cdot \dfrac{3-2\sqrt{3}}{3-2\sqrt{3}}\end{aligned}[/tex]

                         [tex]\begin{aligned}b&=\dfrac{36-24\sqrt{3}+27\sqrt{3}-54}{9-6\sqrt{3}+6\sqrt{3}-12}\\\\b&=\dfrac{-18+3\sqrt{3}}{-3}\\\\b&=6-\sqrt{3}\end{aligned}[/tex]

Therefore, the length of AC is (6 - √3) cm.

Part (ii)

[tex]\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}[/tex]

Given:

[tex]c = BC[/tex][tex]a = AB=(\sqrt{3}+2)[/tex][tex]b = AC=(6-\sqrt{3})[/tex][tex]C = \angle BAC=60^{\circ}[/tex]

Substitute the given values into the formula to find BC²:

[tex]\begin{aligned}c^2&=a^2+b^2-2ab \cos C\\\\\implies BC^2&=AB^2+AC^2-2(AB)(AC) \cos C\\\\BC^2&=(\sqrt{3}+2)^2+(6-\sqrt{3})^2-2(\sqrt{3}+2)(6-\sqrt{3}) \cos 60^{\circ}\\\\BC^2&=7+4\sqrt{3}+39-12\sqrt{3}-2(9+4\sqrt{3}) \cdot \dfrac{1}{2}\\\\BC^2&=7+4\sqrt{3}+39-12\sqrt{3}-9-4\sqrt{3} \\\\BC^2&=37-12\sqrt{3}\end{aligned}[/tex]

Therefore, BC² is (37 - 12√3) cm².

a private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?

Answers

By using the concept of confidence interval, it is obtained that the sample needed  in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% = 601

What is confidence interval?

Let the quantity which is to be estimated is [tex]\theta[/tex] .  A confidence interval for the parameter θ, with confidence level  is the interval (a, b), where

P(a < [tex]\theta[/tex] < b) = , P is the probability

Here,

the formula for sample size n = [tex]\frac{p(1-p)z^2}{e^2}[/tex]

p is the sample proportion,

z is the z score associated with the level of confidence

e is the margin of error

Now,

e = 0.04

p = [tex]\frac{1}{2}[/tex]

z = 1.96

n = [tex]\frac{0.5(1-0.5) \times 1.96^2}{0.04^2}[/tex]

n = 600.25

Sample size needed = 601

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Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x)(x)left parenthesis, x, right parenthesis between the airport and Ann's home.

Answers

equation: 2.1x+5=49.1
distance: 21 miles


Step-by-step explanation:

The equation would be 2.1x+5=49.1 and the distance from the airport and her house would be 21 miles


50 points need asap pleasee!!!

Answers

No

The first number is x and the second number is y. And there's no -11 on the x side of the table or 10 on the y side of the table.

What is the correct word form of 9.602?

Answers

Answer: Nine and six hundred two thousandths

Step-by-step explanation:

To estimate the product 8.42 x 7.24, Marisa multiplied 9 x 8 to get 72. Complete the explanation for how
she can make a closer estimate.
Part 1 out of 2
8.42 is closer to
Check
15
and 7.24 is closer to
Next

Answers

The actual value is 8.42 x 7.24 = 59.6576.

as an estimate she has rounded the values up to the nearest whole number ;

i.e. 8.42 ≅ 9 and 7.24 ≅ 8

to obtain 9 x 8 to get 72.

What is rounded value?

Making a number simpler while maintaining a value that is close to what it was is known as rounding.

Although less accurate, the outcome is simpler to utilize.

For instance, 73 equals 70 when rounded to the closest 10, since 70 is closer to 73 than 80 is. However, 76 rises to 80.

What is whole number?

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.

What is natural number?

Natural Numbers The numbers that we use when we are counting or ordering {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 …} Whole Numbers The numbers that include natural numbers and zero. Not a fraction or decimal.

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What is the angle for a ratio of 1 2?.

Answers

The acute angles in a right triangle have measures of 30 degrees and 60 degrees if the ratio of these angles is 1:2.

How is a right triangle formed?

The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle. There are a few unique varieties of right triangles, including the 45°-45° and the 30°-60° varieties.

The ratio of the angular dimensions of the acute angles of a right triangle is 1:2.

Consider x

Sum of three angles is 180 degrees.

Now,

180=90 + x + 2x

180 - 90=3x

3x = 90

x = 30

here, x and 2x, are two angles  30 and 60 degrees.

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a pic to help u is below

Answers

(1) The slope of the function is 11.99.

(2) The y-intercept of the function is 7.

(3) The slope indicates the per-month subscription fee.

(4) The y-intercept indicates the one-time subscription fee.

What is the slope-intercept form of a line?

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation is c(m) = 11.99m+7.

Note that the equation is written in slope-intercept form.

The slope of the function is 11.99.

The y-intercept of the function is 7.

The slope indicates the value of the change in c(m) when there is a unit change in m.

Therefore, the slope of 11.99 indicates the per-month subscription fee.

The y-intercept indicates the value of c(m) when m is zero, therefore, the y-intercept to 7 represents that the one-time subscription is 7.

Hence,

(1) The slope of the function is 11.99.

(2) The y-intercept of the function is 7.

(3) The slope indicates the per-month subscription fee.

(4) The y-intercept indicates the one-time subscription fee.

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What is the y-intercept in the equation y = -3x + 7
Responses

7
7

-3x
-3x

x
x

-3

Answers

Enter the equation into Desmos

Which of the following are common multiples of 60 and 1120?
Select all of the correct answers.
2³×3×7
2²×3×5
27×3×5²×7
2²x5
25×3×5×7
2³×3×5²x7
25×3×5×7²
25x5x7

Answers

The common multiple of 60 and 1120 is 2³×3×7.

What is the least common multiple?

The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, denoted by lcm in arithmetic and number theory, is the smallest positive integer that is divisible by both a and b.

The least common multiple of 60 and 1120 is 3360.

2³×3×7 = 168

2²×3×5 = 60 -----(This is the common multiple)

27×3×5²×7 = 14175

2²x5 = 20

25×3×5×7 = 2625

2³×3×5²x7 = 4200

25×3×5×7² = 18375

25x5x7 = 875

Hence, the common multiple of 60 and 1120 is 2³×3×7.

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Your plan for your t-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each screen press can handle 500 shirts per day, about how many presses do you need?.

Answers

Answer:

120 presses

Step-by-step explanation:

hope this helps :)

Answer:120 presses

Step-by-step explanation:

PLEASE ANSWER QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which expression represents "2 less than the product of 5 and a number"?

Responses

5+n−2
5 plus n minus 2

5n−2
5 over n end fraction minus 2

2−5n
2 minus 5 n

5n−2

Answers

The answer will be:
5n-2

Ella is working two summer jobs, making $22 per hour tutoring and making
$10 per hour clearing tables. In a given week, she can work a maximum of 9
total hours and must earn at least $130. If x represents the number of hours
tutoring and y represents the number of hours clearing tables, write and solve
a system of inequalities graphically and determine one possible solution.

Answers

The system of inequalities and a possible solution is by working 2 hours removing wires and 6 hours tutoring.

What is Inequalities?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

Here are the variables defined:

x is the quantity of tutoring hours worked.

Y = quantity of h

clearing cables is our job.

Since we know she can only work a maximum of 9 hours per week:

x + y ≤ 9

She also wants to earn at least $130 each week, so:

x*$22 + y*$10 ≥ $130

As a result, we have the inequality system listed below:

x + y ≤ 9

x*$22 + y*$10 ≥ $130

The graph of this system can be shown in the graphic below, where the intersection of the two shaded regions shows where the system's solutions are.

There are some solutions there, including:

y = 0, x = 8

y = 2, x = 6.

As a result, her situation might be resolved by working 2 hours removing wires and 6 hours tutoring.

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Identify the slope and y-intercept of the line with the given equation.
*do not enter the y-intercept as an ordered pair
m =
b=
y=-3x+8

Answers

Answer:

m = -3

b = 8

Step-by-step explanation:

y = -3x + 8 is in slope-intercept form, which is:

y = mx + b

so the slope is the m, the number right there beside the x. In your equation its -3. The b is the y-intercept, so its the last number tacked on the end of the equation there on the right. For your question, its the 8.

Slope is -3 and y-intercept is 8.

Determine whether each pair of triangles is congruent. If yes, include the theorem that applies.

Answers

Answer:

The triangles are congruent.

Step-by-step explanation:

The pair of triangles shown on the image are congruent triangles by ASA postulate.

ASA postulate is the postulate where two triangles are congruent by two Angles and a Side length.

The two triangles are congruent by RHS congruency property.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given are two right-angle triangles.

Also given the height of both the triangles are similar and the two angles are also congruent therefore sides opposite to the similar angles are also similar hence these two right-angled triangles are congruent

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I, III, and IV

I, II, and III

I and IV

All four quadrants

Answers

The location of the solutions of the inequality are quadrant in I, III, and IV

What is an inequality?

An inequality is a non-equal comparison between quantities, variables or mathematical expressions.

The specified inequality is; [tex]y \leq\dfrac{2}{3} \cdot x-4[/tex]

The line of the inequality is a straight line that has a positive slope.

The y-intercept is at (0, -4)

The x-intercept is found as follows;

[tex]y=\dfrac{2}{3} \cdot x-4[/tex]

[tex]0 =\dfrac{2}{3} \cdot x-4[/tex]

[tex]4 =\dfrac{2}{3} \cdot x[/tex]

x = 6

The x-intercept = (0, 6)

The graph therefore from quadrant III enters quadrant IV at (0, -4), then enters into quadrant I at the x-intercept (0, 6)

The solution of the inequality, found by the coordinates of the intercepts and the path through of  the line of the inequality are in I, III, and IV

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If you were given $1000.00 what would you do with it and why?


help me please!!!!!! im in rushhh

Answers

This is an opiniated question. Answer with something like "I would give it to my mother to help with the bills"

Answer: Help my parents pay

bills and buy myself some shoes

during the computer daze special promotion, a customer purchasing a computer and printer is given a choice of five free software packages. there are 9 different software packages from which to select. how many different groups of software packages can be selected?

Answers

The required group of software packages that can be selected is 28.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Organizing people, numbers, numerals, alphabets, notes, and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Calculation

Here,

Choice of six free software packages. there are 8 different software packages from which to select.

n = 8,  r = 6

Groups of software packages can be selected= 8C6

8C6 = n!/r!(n - r)!

8C6 = 8! / 4! 2!

8C6 = 8 * 7 / 2 / 1

8C6 = 28

Thus, the required group of software packages that can be selected is 28.

Learn more about permutations and combinations here: brainly.com/question/2295036

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Write the Polynomial expression for the area of the shaded region of the figure

Answers

Answer:

4x^2+6x-49

Step-by-step explanation:

(3x-8)(2x+13)-(X+11)(2x-5)

(6x^2+39x-16x-104)-(2x^2-5x+22x-55)

(6x^2+23x-104)-2x^2-17x+55

4x^2+6x-49

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