Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)

Points A And B Have Coordinates A(-4, 2) And B(3,-6). Find The Coordinates Of Point P, The Weighted Average

Answers

Answer 1

Answer:

  C)  P(1, -26/7)

Step-by-step explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

Weighted average

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

  P = (2A +5B)/(2+5)

  P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

  P = (1, -26/7)

The coordinates of P are (1, -26/7).


Related Questions

What is 6y-3X=-18 written in slope-intercept form?
o y=-3x+3
O y=kx-3
O y=-2x+3
O y = 2x-3

What is 6y-3X=-18 written in slope-intercept form?o y=-3x+3O y=kx-3O y=-2x+3O y = 2x-3

Answers

Answer: B

Step-by-step explanation:

Solve by substitution: y = 3x + 4 and y = -2x – 1.

Answers

Answer:

x = -1

y = 1

Step-by-step explanation:

y = 3x+4

y = -2x-1

-2x-1 = 3x+4

-5x - 1 = 4

-5x = 5

x = -1

Substitute this x value into 1 of the equations given in the problem:

y = 3(-1)+4

y = -3+4

y = 1

Answer: the answer to x= -1 and y= 1

How many kilograms are equivalent to 14,000 grams?

Answers

Answer:

14

Step-by-step explanation:

the answer for this question is 14

Answer:

14 kiligrams

Step-by-step explanation:

The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?

Answers

Answer:

\(a_1=\frac{39}{8}; \ d=-\frac{1}{4}.\)

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

\(\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.\)

4) finally: the first term is '39/8', the difference is '-1/4'.

At a soccer game, a vendor sold a combined a total of 220 sodas and hotdogs. The number of sodas was sold was 46 more than the number of hotdogs sold. Find the number of sodas sold and the number of hotdogs sold.

Answers

Answer:

133 sodas and 87 hotdogs were sold.

Step-by-step explanation:

math

Answer:

number of sodas: x+46 (46 more than hotdogs)

number of hotdogs: x

x+x+46=220

2x+46=220

2x=174

x=87

87+46=133

number of sodas: 133

number of hotdogs: 87

What is the GCF of (12,78).

Answers

Answer:

the gcf for 12,78 would be 6

Write an equation in slope-intercept form for the line containing the
the points (3, 8) and (5,2).

Answers

Answer:

\(y=-3x+17\)

Step-by-step explanation:

\(m=\frac{8-2}{3-5}=-3 \\ \\ y-2=-3(x-5) \\ \\ y-2=-3x+15 \\ \\ y=-3x+17\)

which best describes how to solve the equations below 35x=88

Answers

88 divided by 33 to get the result of x

pleas

HELP IMMEDIATELY

pleasHELP IMMEDIATELY

Answers

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Check here for instructional material to complete this problem.
Evaluate , Cxp*(1-p)" - for n=5, p=0.3, x = 3.
1-X
n

Answers

Answer:

makes no sense

Step-by-step explanation:

A total of 716 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

325

Step-by-step explanation:

Let the number of adult tickets sold be x

Therefore, number of students tickets sold = x + 66

Since,

Number of adult tickets + number of student tickets = 716

Therefore,

x + x + 66 = 716

2x + 66 = 716

2x = 716 - 66

2x = 650

x = 650/2

x = 325

Hence, 325 adult tickets were sold.

what number is the smallest .12 or.079

Answers

Answer:

.079 is the smallest

Answer:

.079 would be smaller than .12.

Step-by-step explanation:

Since the tenths place in .079 has a zero and tenths place in .12 has a 1, .12 would be larger.

Are the experimental probabilities after 300 trials closer to the theoretical probabilities?

Answers

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

For more such information on: probabilities

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Plz helplplpp this is due NOWWW

Plz helplplpp this is due NOWWW

Answers

Answer:

Option 2

Step-by-step explanation:

1/4 is equal to .25 or 25/100

Answer:
Option 2

Explanation:
1/4 =0.25
0.25 x 5 = 1.25
1/4 x 5 = 1 1/4

What is yeet+yeet=
Please answer

Answers

Answer:

yyeeeett

Step-by-step explanation:

just a guess y'know

Answer:

Step-by-step explanation:

Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.

HOPE THIS HELPS NYHEHEHEHEH

-Signed by The Great Papyrus Spagettitore

Use an appropriate series to find Taylor series of the given function centered at the indicated value of a. Write your answer in summation notation.

sinx, a= 2π

Answers

Answer:

The Taylor series is   \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

Step-by-step explanation:

From the question we are told that

      The function is  \(f(x) = sin (x)\)

This is centered at  

       \(a = 2 \pi\)

Now the next step is to represent the function sin (x) in it Maclaurin series form which is  

          \(sin (x) = \frac{x^3}{3! } + \frac{x^5}{5!} - \frac{x^7}{7 !} +***\)

=>       \(sin (x) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

   Now since the function is centered at  \(a = 2 \pi\)

We have that

           \(sin (x - 2 \pi ) = (x-2 \pi ) - \frac{(x - 2 \pi)^3 }{3 \ !} + \frac{(x - 2 \pi)^5 }{5 \ !} - \frac{(x - 2 \pi)^7 }{7 \ !} + ***\)

This above equation is generated because the function is not centered at the origin but at \(a = 2 \pi\)

           \(sin (x-2 \pi ) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x - 2 \pi)^{2n+1}]\)

Now due to the fact that \(sin (x- 2 \pi) = sin (x)\)

This because  \(2 \pi\) is a constant

   Then it implies that the Taylor series of the function centered at \(a = 2 \pi\) is

             \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

Autumn found a wallet containing $ 900 in the street. She returned the wallet to its owner, who gave her a $ 180 reward. What percentage of the $ 900 was the reward?

Answers

Answer:

\(\frac{180}{900} = 0.2\) × \(100 =20\)

Autumn got a 20% reward of the $900 she found.

During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 ​ mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 ​ 5 5 5 1 2 5 2 1 ​ 6 6 6 1 2 6 2 1 ​ 7 7 7 1 2 7 2 1 ​ 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL

Answers

Answer:

22 1/2

Step-by-step explanation:

Jim drove a total distance of 137,702.4 on a race track. He drove 16 laps, where each lap was the same length. What was the length of each lap? Write your answer in miles.

Answers

Answer:

8606.4 Miles

Step-by-step explanation:

Since we know that each lap was the same length, we can do 137,702.4/16 and get 8606.4

Answer:

8606.4

Step-by-step explanation:

Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.

40,000

36,000

9,000

7200

3,600

30,000

16,200

300

3,000

Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows

Credit sales at branch

Office expenses by Head office

Cash remittance to branch for petty cash Stock 31.12.2018

Goods sent to Branch

Salaries paid by head office

Debtors 31.12.2018

Petty cash on 31.12.2018

Cash sales at branch

of

Answers

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

Income Statement

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

What is an income statement?

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

Learn more about the income statement at https://brainly.com/question/28936505.

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HELP NOWWWWW PLEASEEE

HELP NOWWWWW PLEASEEE

Answers

Step-by-step explanation:

what's the problem ?

you need to calculate the area of each rectangle and sum them all up.

that is then the total surface area of the whole prism (or "box").

we have 2 rectangles of 4×3.8

2 rectangles of 11.5×3.8

and 2 rectangles of 11.5×4

so, the total is

2×4×3.8 + 2×11.5×3.8 + 2×11.5×4 = 30.4 + 87.4 + 92 =

= 209.8 m²

you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43

Answers

Using the dividend discount model, the value of a stock is calculated by adding the present value of all expected future dividends. Here's how to solve the problem:

Step 1: Calculate the present value of each dividend payment.

PV(2015) = $1.45 / (1 + 0.12)^1 = $1.29
PV(2016) = $1.56 / (1 + 0.12)^2 = $1.22

Step 2: Calculate the present value of the expected stock price at the end of 2016.

PV(2016 stock price) = $35.80 / (1 + 0.12)^2 = $28.33

Step 3: Add up the present values of the dividend payments and stock price to get the total stock value.

Stock value = PV(2015) + PV(2016) + PV(2016 stock price) = $1.29 + $1.22 + $28.33 = $30.84

Therefore, the value of Horn of Plenty Mining's stock is $30.84, which means that the correct option is e) None of the above.

8 squared plus 6 squared = c squared using Pythagorean theorem for right triangle

Answers

Answer:

Hypotenuse of 10

Step-by-step explanation:

The Pythagorean Theorem is \(a^{2} +b^{2} = c^{2}\)

So let's plug in the numbers!

\(8^{2} +6^{2} = c^{2}\)

Let's start the squaring (8*8 and 6*6)

\(64 + 36 = c^{2}\)

Add the numbers to simplify

100 = \(c^{2}\)

To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.

\(\sqrt{100} =\sqrt{c^{2} }\)

We can simplify, and the square of c cancels because of the square root, leaving us with:

10 = c

What is the area of the kite? 21 square feet 40 square feet 42 square feet 84 square feet.

Answers

Answer:

A=pq2 is the answer i think

A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter

Answers

Answer:

88

Step-by-step explanation:

Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.

Rob collects data about how many customers enter and leave a store every hour. He records a positive

Answers

1) 3:00 to 4:00

The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.

2) 103

From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.

The required solution is 4:00 to 5:00 and  87  customers.

It is required to fill in the blanks.

What is arithmetic?

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

According to question , Initially, there were 75 customers.

From 1:00 to 2:00, a total of 30 more people entered, meaning there were

 75 + 30 - 12

= 93 people.

From 2:00 to 3:00, a total of 14 more people entered, meaning there were

93 + 14 - 8  

= 99 people.

From 3:00 to 4:00, a total of 18 people entered, meaning there were

 99 + 18 - 30

= 87 people.

4:00 to 5:00   :  If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.

Therefore, the required solution is 4:00 to 5:00 and  87  customers.

Learn more about arithmetic here:

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14 + w is the same as which expression?

Answers

Answer:

w+14,

Step-by-step explanation:

2.6.5 A plant physiologist grew birch seedlings in the green-house and measured the ATP content of their roots. (See Example 1.1.3.) The results (nmol ATP/mg tissue) were as follows for four seedlings that had been handled identically.39 1.45 1.19 1.05 1.07 Calculate the mean and the S

Answers

Answer:

\((a)\ \bar x = 1.19\)

\((b)\ \sigma_x = 0.18\)

Step-by-step explanation:

Given

\(n = 4\)

\(x: 1.45\ 1.19\ 1.05\ 1.07\)

Solving (a): The mean

This is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{1.45 + 1.19 + 1.05 + 1.07}{4}\)

\(\bar x = \frac{4.76}{4}\)

\(\bar x = 1.19\)

Solving (b): The standard deviation

This is calculated as:

\(\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}\)

So, we have:

\(\sigma_x = \sqrt{\frac{(1.45 -1.19)^2 + (1.19 -1.19)^2 + (1.05 -1.19)^2 + (1.07 -1.19)^2}{4 - 1}}\)

\(\sigma_x = \sqrt{\frac{(0.1016}{3}}\)

\(\sigma_x = \sqrt{0.033867}\)

\(\sigma_x = 0.18\)

Graph the line. pllzzzzzzzz

Graph the line. pllzzzzzzzz

Answers

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Graph the line. pllzzzzzzzz

In 2001, the world population 6.5 billion and was increasing at a rate of 1.2% each year.
Find the population in 2017. Round to the nearest tenth.

Answers

Answer:

8.0 billion

Step-by-step explanation:

1.2÷100=0.012

0.012×6.5=0.078

2017-2001=16

0.078×16=1.248

6.5+1.248=7.748

nearest tenth 8.0

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