kylie want to buy a laptop that originally cost p dollars

Answer:

Use PEMDAS

Step-by-step explanation:

answer is 7/6 i think

i am not 100% sure

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

The perimeter of the given triangle ABC will be 59 units.

The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.

The perimeter of the triangle will be calculated as:-

First, we will calculate the perpendicular AD by using the Pythagorean theorem:-

AD  = √( 15²  -  9² )

AD  = √144

AD  =   12 units

Now we will calculate the Side AC by angle property:-

Sin 30  =  12  /  AC

AC  =  12   /  Sin 30

AC  =  12 / 0.5  =  26

The perimeter will be the sum of the all the sides of the triangle:-

P  =  AB  +  BC  +   AC

P  =  15  +  18  +  26

P   =  59 units.

Therefore the perimeter of the given triangle ABC will be 59 units.

To know more about the perimeter of a triangle follow

https://brainly.com/question/17335144

#SPJ2

Final answer:

When two variables are correlated or associated, it does not necessarily follow that one of the variables is the root cause of the other. Correlation does not always indicate cause.

The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.

Positive correlation occurs when two variables change in the same direction. There are three fundamental forms of correlation. The two variables fluctuate in opposite directions when there is a negative correlation. No association or meaningful connection exists between the two variables, hence there is no correlation.

The correlation coefficient aids in determining how closely two variables are related in a single figure. Finding the crucial variables that other factors depend on and comprehending economic behavior are both facilitated by correlation analysis.

Explanation:

A correlation test determines whether two variables are related. Nevertheless, just because two variables are traveling together does not necessarily mean they are connected. This is why the phrase "correlation does not indicate causation" is used frequently.

As two factors are connected or related, it does not necessarily imply that one of the variables is the main cause of the other. Correlation not always show cause.

To learn more about correlation , visit

brainly.com/question/9476864

#SPJ4

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

To read more about quartile:

https://brainly.com/question/15642066

#SPJ4

The answer is T = - 7.5 Cos π/12( t - 4 ) + 10.5

Given the fact that

The maximum temperature is 18 degrees Celsius.

Minimum temperature = 3 degrees Celsius

4 a.m. is the midpoint between 10 a.m. and 10 p.m.

Temperature changes may be modeled using the sine and cosine functions throughout the year. The following equation can be used to represent these data:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the  temperature in °C and t is the hour (1–24

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B= 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The trigonometric function formula that mimics the temperature T in Johannesburg t hours after midnight

T = - 7.5 Cos π/12( t - 4 ) + 10.5

What is temperature?

To learn more about Temperature visit:

https://brainly.com/question/11464844?

#SPJ4

Given - a+b+c = 0

To prove that-

a²/bc + b²/ac + c²/ab = 3

Now we know that

when x+y+z = 0,

then x³+y³+z³ = 3xyz

that means

(x³+y³+z³)/xyz = 3 ---- eq 1)

Lets solve for LHS

LHS = a²/bc + b²/ac + c²/ab

we can write it as LHS = a³/abc + b³/abc + c³/abc

by multiplying missing denominators,

now take common abc from denominator and you'll get,

LHS = (a³+b³+c³)/abc --- eq (2)

Comparing one and two we can say that

(a³+b³+c³)/abc = 3

Hence proved,

a²/bc + b²/ac + c²/ab = 3

The value of the diameter of the cone part of the funnel to the nearest tenth is,

⇒ d = 7.2 cm

We have to given that;

A funnel can hold 159π cm³ of fluid.

And, Its height (without the stem) is 12 cm.

Now, We know that;

Volume of cone = πr²h/3

Where, r is radius of cone.

Hence we get;

⇒ 159 = 3.14 × r² × 12 / 3

⇒ 159 = 12.56 r²

⇒ r² = 12.65

⇒ r = √12.65

⇒ r = 3.556

⇒ r = 3.6 cm

Thus, The value of the diameter of the cone part of the funnel to the nearest tenth is,

⇒ d = 2r

⇒ d = 2 x 3.6

⇒ d = 7.2 cm

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

Step-by-step explanation:

100cm/m=260cm/xm

cross multiply and solve:

100x=260

x=2.6

The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Learn more about subtraction here:

https://brainly.com/question/13619104

#SPJ9

The parameter often associated with enzyme affinity for substrates is Km.

Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.

Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.

Learn more about substrates here : brainly.com/question/6107295

#SPJ11

The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

Learn more on differential equation here https://brainly.com/question/1164377

#SPJ1

subtract 2.2 and 41.5:

The expression to subtract the numbers will be :

In this, the sign of the result will be like the sign of the greatest number

As 41.5 is greater than 2.2, the sign will be (-)

then subtract 2.2 from 41.5

so, the answer will be :

The chosen online news article highlights the growing concerns regarding the impact of social media on freedom of speech.

The article, titled "Social Media Platforms and the Challenge to Free Speech," examines the complex relationship between social media platforms and freedom of speech. It raises key concepts discussed in the chapter regarding the limitations and challenges posed by online platforms to this fundamental right.

The article acknowledges the significant role that social media platforms play in facilitating public discourse, allowing individuals to express their opinions and engage in discussions on various topics. However, it also highlights the potential limitations on freedom of speech that arise due to the power wielded by these platforms.

It discusses instances where social media companies have imposed content restrictions, suspended or banned users, or altered algorithms, leading to concerns about censorship and the stifling of diverse viewpoints.

The article further explores the legal framework surrounding freedom of speech in relation to social media platforms.

It mentions the tension between protecting free expression and addressing issues such as hate speech, disinformation, and online harassment. It delves into the challenges of finding a balance between safeguarding individual liberties and ensuring a safe and inclusive online environment.

Learn more about Social media

brainly.com/question/30194441

#SPJ11

Answer:x+90+20=180,70*

Step-by-step explanation

i hope this helped :D

the answer is 5=100✌✌✌✌✌✌

The point P is (9, 2, 12).

To find the point P, we need to add the vector v = PQ to the given point 0.

Given that v = PQ has the components (7, 6, 9) and the point 0 has the components (2, -4, 3), we can calculate the coordinates of point P as follows:

P = 0 + v = (2 + 7, -4 + 6, 3 + 9) = (9, 2, 12)

Know more about vector here;

https://brainly.com/question/24256726

#SPJ11

Coordinate (-a , b ) belongs to second quadrant.

The axes (x-axis and y-axis) of a two-dimensional Cartesian plane system divide the plane into four infinite regions called quadrants. The horizontal line or x-axis and vertical line or y-axis intersect each other at the right angle.  The intersection of two lines is known to be the reference point. All the measurement is done by taking this point as the reference (or starting point) in the coordinate system.

"A quadrant is simply defined as the region of a cartesian plane formed when the x-axis and y-axis intersect each other."

Given, Coordinate ≡ (-a , b)

1st Quadrant: The upper right-hand corner of the graph is the first quadrant. In this quadrant the values of x and y both are positive.

2nd Quadrant: The upper left-hand corner of the graph is the second quadrant. In this quadrant, the value of x is negative whereas the value of y is positive.

3rd Quadrant: The lower left-hand corner of the graph is the third quadrant. It contains the negative values of both x and y.

4th Quadrant: Finally, the fourth quarter is at the lower right-hand corner, which has a positive value of x and a negative value of y.

Hence, by the above observation, given coordinate (-a, b) belongs to the 2nd quadrant.

Learn more about quadrant here:

https://brainly.com/question/7196312

#SPJ1

Answers:

A = 48

B = 88

C = 44

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

Explanation:

The interior angles of any triangle always add up to 180 degrees.

A+B+C = 180

(48) + (x) + (x-44) = 180

2x+4 = 180

2x = 180-4

2x = 176

x = 176/2

x = 88

Therefore,

Check:

A+B+C = 48+88+44 = 180

The answers are confirmed.

Answer with step-by-step explanation

We know that, 

the sum of the interior angles of a triangle is 180°.

Accordingly,

\(\sf \: x + x -44+ 48= 180\)

Combine like terms.

\(\sf \: 2x + 4= 180\)

Subtract 4 from both sides.

\( \sf \: 2x = 180 - 4 \\ \sf2x = 176\)

Divide both sides by 2.

\(\sf \: x = 88\)

Therefore,

\( \angle B = x = 88 \degree \ \\ \angle \: A= 48 \degree \\ \angle \: C =x - 44 = 88 - 44 = 44 \degree \\ \)

Answer:

The two trangle's relation by S.AS

Step-by-step explanation:

Idono thes ansar gdau gdddhd hjkdbss hhfc

After flying 210 miles northwest and 210 miles east, the plane is approximately 297 miles away from the airport. To determine how far the plane is from the airport after flying 210 miles northwest and then 210 miles east, follow these steps:

1. Understand that the plane's path forms a right triangle, with the initial airport location and the plane's final position as the two vertices of the right angle.
2. The plane flies 210 miles northwest and then 210 miles east. The northwest flight forms the vertical side of the triangle, while the east flight forms the horizontal side.
3. The distance from the airport to the plane is the hypotenuse of this right triangle, which can be calculated using the Pythagorean theorem: a² + b² = c², where a and b are the legs (vertical and horizontal distances), and c is the hypotenuse (the distance between the airport and the plane).
4. In this case, a = 210 miles (northwest), and b = 210 miles (east).
5. Using the Pythagorean theorem: 210² + 210² = c²
6. Calculate: 44100 + 44100 = c²
7. Combine: 88200 = c²
8. Find the square root: c = √88200
9. Approximate: c ≈ 297 miles

So, after flying 210 miles northwest and 210 miles east, the plane is approximately 297 miles away from the airport.

Learn more about plane here:

brainly.com/question/3120300

#SPJ11

Step-by-step explanation:

Let the angle of triangle be x , so each angle will be 1x , 2x , 3x respectively.

We know that sum of all angles in triangle is 180°

So ,

1x + 2x + 3x = 180°

6x = 180°

x = 30°

Therefore , each angle would be 30° , 60° , 90° respectively.

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

The correct statement regarding the together rate is given as follows:

A. The total time, in hours, it would take Jenna to address the 1800 envelopes alone is given by 1800/(x + 10).

The together rate is given by the sum of each separate rate, thus the sum given in the problem on the image represents the total time it takes for them to address all the envelopes.

Jenna can address 10 more envelopes per hour than Kyle, hence:

The number 1800 represents the total number of cards, hence from this and from the bullet points, statement A is correct.

The problem is given by the image shown at the end of the answer.

More can be learned about the together rate at https://brainly.com/question/26310043

#SPJ1

Step-by-step explanation:

Using the unit circle, the answer is

135 degrees

From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

Answer:

WHat question

Step-by-step explanation:

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

An object that is in motion as a projectile follows a path or trajectory of a parabola

The function and values are;

Reason:

a) Known parameters are;

Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;

Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)

Plugging the values gives;

0 = a·0² + b·0 + c

Therefore, c = 0

1.5 = 35²·a + 35·b

0 = 37²·a + 37·b

Solving gives;

a = -3/140, b = 111/140

The equation of the quadratic function is therefore;

b) The maximum height is given by the vertex of the parabola

The x-coordinate at the vertex is the point \(-\dfrac{b}{2 \cdot a}\)

Which gives;

\(x-coordinate = \dfrac{\frac{111}{140} }{2 \times \dfrac{3}{140} } = 17.5\)

The maximum height is therefore;

\(f(x)_{max} = \dfrac{111}{140} \times 17.5 - \dfrac{3}{140} \cdot 17.5^2 \approx 7.334\)

The maximum height of the ball is approximately 7.334 m

c) The distance the ball has travelled to horizontally is given by half of the range, R as follows;

The range of the motion, R = 37 meters

\(Horizontal \ distance \ to \ maximum \ height = \dfrac{R}{2}\)

Therefore;

\(Horizontal \ distance \ to \ maximum \ height = \dfrac{37}{2} = 18.5\)

The distance the ball has travelled horizontally to reach the maximum height horizontally 18.5 meters

Learn more about the trajectory of a projectile here:

https://brainly.com/question/13646224