Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

In general, subjective probability distributions for exam scores may vary depending on an individual's confidence level, their preparation, and the difficulty level of the exam.

In the case of constructing an approximation using the extended Pearson-Tukey method, the three-point approximation is determined by selecting the 25th, 50th, and 75th percentiles of the distribution. On the other hand, the extended Swanson-Megill method involves selecting three equally spaced points that divide the area under the probability density function into four parts. The expected exam score can then be estimated by computing the weighted average of the three points. The estimate obtained from the Swanson-Megill method may differ from that of the Pearson-Tukey method due to the different ways in which the three points are selected.

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Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration.

Without the specific conditions mentioned, it is impossible to determine the exact limiting values of T and a. However, certain options can be ruled out based on common sense and physical laws. For example, option C (T=mg and a=0) is not possible as the tension in a string cannot be equal to the weight of an object. Option E (T=0 and a=[infinity]) is also not possible as a mass cannot have zero tension and infinite acceleration.

Based on these eliminations, the most reasonable options are A (T=0 and a=0) and D (T=[infinity] and a=g). In the former case, the object is not moving and there is no tension in the string. In the latter case, the object is in free fall and the tension in the string is negligible compared to the weight of the object.

However, it is important to note that the exact limiting values of T and a will depend on the specific conditions of the scenario, such as the mass of the object and the angle of the string.

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration. When T=mg and a=0, it means that the tension in the system is equal to the gravitational force acting on the mass (mg) and the system is in equilibrium with no acceleration. This is a common scenario when an object is hanging from a rope or cable and not moving. The other options do not represent stable or realistic conditions for a physical system.

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A right triangle is only possible with Pythagoras theorem that is,  

25² = 20² + 15² ⇒ 625 = 400 + 225 ⇒ 625 = 625

Hence, 20, 25, 15 makes a right triangle.

The right-angled triangle's three sides are related in accordance with the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagoras theorem states that the hypotenuse square of a triangle is equal to the sum of the squares of the other two sides.

According to the Pythagoras theorem, if a triangle has a right angle (90 degrees), the hypotenuse's square is equal to the sum of its other two sides' squares. Look at the triangle ABC, which has BC2 = AB2 + AC2 as its formula. In this case, AB represents the base, AC the altitude (height), and BC the hypotenuse. It should be noted that the hypotenuse of a right-angled triangle is its longest side.

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Answer:

The expression (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n is equivalent to ∑i=1 to 2n (i-1)².

Step-by-step explanation:

The expression ∑i=1 to 2n (i-1)² represents the sum of (i-1)² for values of i ranging from 1 to 2n. We can simplify and rewrite this expression using properties of summation:

∑i=1 to 2n (i-1)² = ∑i=1 to 2n (i² - 2i + 1)

= ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1

Now let's evaluate each term separately:

∑i=1 to 2n i²:

This represents the sum of the squares of i for values of i ranging from 1 to 2n. This can be expressed as the formula for the sum of squares:

∑i=1 to 2n i² = (2n)(2n + 1)(4n + 1)/6

∑i=1 to 2n 2i:

This represents the sum of 2i for values of i ranging from 1 to 2n. We can factor out the 2 and use the formula for the sum of the first n positive integers:

∑i=1 to 2n 2i = 2(2n)(2n + 1)/2 = 2n(2n + 1)

∑i=1 to 2n 1:

This represents the sum of 1 for values of i ranging from 1 to 2n. Since we are summing 1 a total of 2n times, this is simply 2n.

Putting it all together, we have:

∑i=1 to 2n (i-1)² = ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1

= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n

= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n

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Answer:

y = -1/2x - 3/2

Step-by-step explanation:

Isolate the y variable and divide the equation by two.

Answer:

$112,710

Step-by-step explanation:

so first we have to find what is 15% of 86700

so 15/100×86700=$13005

so it is written that 86700 is in 2012 means 2010 it will be

2 times more which means 30% that means just have to do is multiply it two times which makes it $26010

so $86700+$26010=$112710

hope it helps you

please mark me as brainlist

Answer:

siudsckjznc

Step-by-step explanation:

By using Permutation, The number of ways in which 4 distinct prizes be awarded is 5,040.

Number of Contestants = 10

Number of distinct prizes = 4

We will use permutation to evaluate the number of ways in which 4 distinct prizes be awarded,

The first prize can be given in 10 ways

The second prize can be given in 9 ways

The third prize can be given in 8 ways

The fourth prize can be given in 7 ways

Now, Total number of ways 4 prizes can be awarded = 10 * 9 * 8* 7 = 5,040

Thus, the number of ways in which 4 distinct prizes be awarded is 5,040

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The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.

To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.

In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.

However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.

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Answer:

0 pounds

Step-by-step explanation:

To bring \(\frac{7}{8}\) to 16ths it goes to \(\frac{14}{16}\)

Answer:

c<5, and  c>-4.

Steps used for answers:

5c+3<28 =

1. Subtract 3 from both sides.

5c<28-3

2. Simplify  28-3 to  25.

5c<25

3. Divide both sides by 5.

c<25/5

4. Simplify  25/5 to 5.

c<5

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

-4c-2<14 =

1. Add 2 to both sides.

-4c<14+2

2. Simplify  14+2 to 16.

-4c<16

3. Divide both sides by -4.

c>-16/4

4. Simplify 16/4 to 4.

c>−4

Done by NeighborhoodDealer

Answer:

c < 5, c > -4

(look at the picture below for graph)

Desciption: C is greater than -4 and less than 5

Step-by-step explanation:

5c + 3 < 28

5c < 25

c < 5

-4c - 2 < 14

-4c < 16

c > -4

100-15=85%=SP

\(\\ \sf\longmapsto 85\%\times x=20000\)

\(\\ \sf\longmapsto \dfrac{85}{100}x=20000\)

\(\\ \sf\longmapsto x=20000\times \dfrac{100}{85}\)

\(\\ \sf\longmapsto x=235.2(100)\)

\(\\ \sf\longmapsto CP=23520\)

100-10=90%=SP

\(\\ \sf\longmapsto 90\%\times x=450\)

\(\\ \sf\longmapsto \dfrac{90}{100}x=450\)

\(\\ \sf\longmapsto x=450\times \dfrac{100}{90}\)

\(\\ \sf\longmapsto x=5(100)\)

\(\\ \sf\longmapsto CP=500\)

Answer:

8c - 7r + 10p - 20e

Step-by-step explanation:

Subtract (20c + 15r + 75p + 50e) - (12c + 22r + 65p + 70e)

(20c + 15r + 75p + 50e) - (12c + 22r + 65p + 70e)

Open bracket

20c + 15r + 75p + 50e - 12c - 22r - 65p - 70e

Collect like terms

= 20c - 12c + 15r - 22r + 75p - 65p + 50e - 70e

= 8c - 7r + 10p - 20e

Yes, the function y=12t3−4t 8.6 is a polynomial because it is an algebraic expression that consists of variables, coefficients, and exponents, with only addition, subtraction, and multiplication operations. Specifically, it is a third-degree polynomial, or a cubic polynomial, because the highest exponent of the variable t is 3.

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, with only addition, subtraction, and multiplication operations. In the given function y=12t3−4t 8.6, the variable is t, the coefficients are 12 and -4. The exponents are 3 and 1, which are non-negative integers. The highest exponent of the variable t is 3, so the given function is a third-degree polynomial or a cubic polynomial.

To further understand this, we can break down the function into its individual terms:

y = 12t^3 - 4t

The first term, 12t^3, involves the variable t raised to the power of 3, and it is multiplied by the coefficient 12. The second term, -4t, involves the variable t raised to the power of 1, and it is multiplied by the coefficient -4. The two terms are then added together to form the polynomial expression.

Thus, we can conclude that the given function y=12t3−4t 8.6 is a polynomial, specifically a third-degree polynomial or a cubic polynomial.

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Answer:

5x = x - 2

Step-by-step explanation:

"And" means to multiply, so 5 × (x)

two less than a number is "X - 2"

I hope this helps!

To find the integral representing the volume of the solid that the cylinder with base r, we can use cylindrical coordinates. The volume of the cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height.

Using cylindrical coordinates, the solid can be represented as the region bounded by the planes z=0, z=h, and the cylinder \(x^2+y^2=r^2\). The integral to find the volume of this solid is then given by the triple integral over the region in cylindrical coordinates, i.e., ∭E r dr dθ dz

where E is the region bounded by the planes z=0, z=h, and the cylinder \(x^2+y^2=r^2\), and the limits of integration are r=0 to r=r, θ=0 to 2π, and z=0 to h. In this integral, the integrand is simply r, which represents the infinitesimal volume of the solid element at each point in the region E. Integrating this over the entire region E gives the total volume of the solid.

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2 tripled is 6

2 x 3 = 6

Hope this helps!  : )

Answer:

1x3=3

2x3=6

3x3=9

4x3=12

5x3=15

6x3=18

7x3=21

8x3=24

Step-by-step explanation:

\( \frac{42}{14} = \frac{x}{12} \\ x = \frac{42 \times 12}{14} \\ x = \frac{504}{14} \\ x = 36\)

Answer:

\(81124\ miles\)

Step-by-step explanation:

\(We\ are\ given,\\No.\ of\ miles\ a\ satelite\ flies\ in\ 7.36\ hours=50048\ miles\\To\ find:\\The\ no.\ of\ miles\ it\ has\ flown\ in\ 11.93\\Now,\\We\ can\ solve\ this\ by\ constructing\ a\ proportion,\\A\ proportion\ is\ simply\ represented\ in\ this\ format:\\\frac{x_1}{y_1}=\frac{x_2}{y_2}\\Here,\\x\ represents\ Miles\ while\ y\ represents\ Hours.\\Hence,\\x_1=50048\ miles\\y_1=7.36\ Hours\\x_2=x_2\\y_2=11.93\ Hours\\Hence,\ by\ setting\ up\ a\ proportion\ we\ get,\\\)

\(\frac{50048}{7.36}=\frac{x_2}{11.93}\\Now,\ by\ solving\ the\ equation,\\6800*11.93=x_2\\x_2=81124\ miles\)

Answer:

1,809 meters. (1 & 1/8 of a mile)

Step-by-step explanation:

quarter of a mile = 402 meters
402 * 4.5 = 1,809 meters = 1 1/8 mile

Samuel needs a total of 6 containers for his plan

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

1 cup of rubbing alcohol = 1/(1/2) = 2 shares

Also, we have

1 cup of rubbing alcohol contains = 1 + 1/2 + 16 = 17.5

For the 2 shares calculated above, we have

2 shares = 17.5 * 2

Evaluate

2 shares = 35

Given that each can hold a maximum of 6 cups, the number of containers needed is

Container = 35/6

This gives

Container = 5.83

Round up

Container = 6

Hence, he needs 6 containers

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Answer:

sry i cant i to dubm need points tho

Step-by-step explanation:

Answer:

%41.8 or 0.418

Step-by-step explanation:

I didn't know how you wanted the answer so there.

To get the answer you divide 627 by 1500 to get 0.418 then multiply that by 100 to get your percent.

hope this helps. . .

have a good day. UwU

Answer:

41.8%

Step-by-step explanation:

(627/1500) * 100 = 41.8

While calculating percentage for such questions, the total always is the denominator, while 'to be found percentage number' is the numerator.

Hope it helps!

Applying exponential properties, we have that the solution to the given expression is:

\(-\frac{125}{343}\)

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

\(-\frac{125}{343}\)

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Answer:

y = 658.3 ft

Step-by-step explanation:

x = 745.5 ft

y = 658.3 ft

tan 28 = 350/y

y = 658.3

Answered by GAUTHMATH

Complete question :

From Monday through Friday, James works in the library on 2 days and in the cafeteria on another day. On Saturday and Sunday, James washes cars 50% of the days. How many days does James work in a week? What percent of the days from Monday through Friday does he work?

Answer:

4 days ;

60%

Step-by-step explanation:

From Monday to Friday

Number of days in library = 2

Number of days in cafeteria = 1

50% of days in weekends

Number of weekend days = 2

50% of 2 = 0.5 * 2 = 1 day

Total. Number of days worked = (2 +1 + 1) = 4 days

What percent of the days from Monday through Friday does he work?

Number of days workwd from. Monday to Friday = 3

Total number of days from Monday to Friday = 5

Percentage of days worked from Monday to Friday

= number of days worked / total number of days

= 3 /5 * 100%

= 0.6 * 100%

= 60%

Step-by-step explanation:

Mean means the average

So to find the average, add all the numbers then divide by how many numbers there are.

Total=389

Divide by 10 = 38.9