k) pq (r² + 1) - r (p² + q²)​

Answers

Answer 1

Answer:

pqr²−p²r−q²r+pq

Step-by-step explanation:

Let's simplify step-by-step.

pq(r²+1)−r(p²+q²)

Distribute:

=(pq)(r²)+(pq)(1)+−p²r+−q²r

=pqr²+pq+−p²r+−q²r

=pqr²−p²r−q²r+pq


Related Questions

Miguel is asked to solve the problem below and wants to convert the values to the same form. Which form would you encourage Miguel to choose?



Group of answer choices

Since 5/6 is a terminating decimal, Miguel should convert 5/6 to a decimal and multiply the decimals.

Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

Since 5/6 is a repeating decimal, Miguel should convert the fraction 5/6 to a decimal and multiply decimals.

Please Help Me!

Answers

The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now the given mixed fraction is,

-0.6(5/6)

Now since 5/6 is a repeating decimal,

Therefore converting 0.6 into fraction, we get

0.6 = 6/10

Therefore, -0.6(5/6) = -(6/10)*(5/6)

Rearranging we get,

-0.6(5/6) = -(6/6)*(5/10)

⇒ -0.6(5/6) = -1*(5/10)

or, -0.6(5/6) = -(5/10)

simplifying 5/10 we get,

-0.6(5/6) = -(1/2)

Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

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Solve for z.

-z/5 - 37 = -18

Answers

Answer:

z = -95

explanation:

helppppspsosoosooooooooppo please I need to finish thsi

Answers

Answer:

The answer is correct.  

Step-by-step explanation:

Negative means Below

Positive means above

an elevation below sea level

The basketball team sells packages of licorice for $5 per package and bags of
M&M's for $8 per bag. The team sells a total of 240 of both for a total of $1614.
Find the number of packages of licorice and bags of M&M's they sold.

Answers

Answer:

The basketball team sells packages of licorice=Rs.5 per package

M&M's for =Rs.8 per bag

Both team sells a total 240 of a total of Rs.1614

Now

The total of both =1614-240=1374

The basketball team sold 102 packages of licorice and 138 bags of M&M's.

Given that the packages of licorice sold for $5 per package and that of the bags of M&M's for $8 per bag.

The total selling was total of 240 of both for a total of $1614.

We need to find the number of packages of licorice and bags of M&M's were sold.

Let's assume that the number of packages of licorice sold is represented by the variable "L" and the number of bags of M&M's sold is represented by the variable "M."

From the given information, we have two pieces of information to form equations:

The total number of packages and bags sold: L + M = 240

The total revenue from selling these items: 5L + 8M = 1614

Now, we can solve these two equations simultaneously to find the values of L and M.

First, let's solve the first equation for one of the variables (let's solve for L):

L = 240 - M

Now, substitute this expression for L in the second equation:

5(240 - M) + 8M = 1614

Now, distribute the 5:

1200 - 5M + 8M = 1614

Combine the M terms:

3M = 1614 - 1200

3M = 414

Now, solve for M:

M = 414 / 3

M = 138

Now that we know the value of M, we can find the value of L using the first equation:

L = 240 - M

L = 240 - 138

L = 102

So, the basketball team sold 102 packages of licorice and 138 bags of M&M's.

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(a-b)(a+b)-c(c-2b) help me guys

Answers

Answer:

a^2-b^2+2bc-c^2

Step-by-step explanation:

We multiply a with a and negative b with b. Then multiply negative c with c and multiply negative c with negative 2b. After all add/ subtract like terms

101+102-103+104-105+106-…-199+200

Please answer asap!!! Will give brainliest!!!!

Answers

Answer:

252

Step-by-step explanation:

One way we could think about this problem is by grouping the numbers together into pairs: -103+104 would be a pair, -105+106 would be a pair and et cetera up to the pair -199+200.

As you can see, each of these pairs add to 1 (-103+104=1, -199+200=1 etc.), so to solve this problem we can simply find how many of these pairs there are and multiply the number by 1 since each pair will total to 1.

To find how many pairs there are we need to find the number of numbers between 103 and 200 (incl.) and divide it by 2.

200-103= 97 numbers, adding 1 to count the one we started with gives us 98 numbers between 103 and 200 (incl.).

98/2 = 49 pairs of numbers. Since each pair totals 1, 1x49 is the total sum of all these pairs of numbers.

Now we need to address the other two numbers. The sequence started with 101+102 before we looked at the remaining pairs, so to find the sum, we just need to add together 101+102+49.

101+102+49 = 252

Hope this helped!

A 4-cup container of window cleaner costs $4. 48. What is the price per fluid ounce?

Answers

Answer:

14 cents

Step-by-step explanation:

because 4.48 divided by 4 = 1.12 BUT since there are 8 ounces in a cup 1.12 divided by 8 = 0.14

the length of a retangle is 4 times its width. The rectangles width is 8 m. What is the are of the rectangle?

Answers

The rectangle's width is 8m and the length is 4 times the width, so the length = 4 x 8 = 32m

To calculate the area of a rectangle, we take the width and multiply it with the length

A = 32 x 8 = 256m2

One number is six less than a second number. Twice the first is 11 more than 3 times the second. Find the numbers.
The value of the

Answers

Answer:

First number is -29.

Second number is -23.

Step-by-step explanation:

Num=second-6

2Num=3second+11

Substitution

2(second-6)=3second+11

2second-12=3second+11

Subtract 2second from 3 second and subtract 11 from -12

-23=second

Num=(-23)-6

Num=-29

If M (-2, 5) is the midpoint of
CD and the coordinates of C are (4, 7), what are the coordinates of D?

Answers

Answer:

soln ,given,

midpoint of CD=M(-2,5)

let,

C(4,7)=(x1,y1)

D(x1,y2)=?

now by using midpoint formula =(x1+x2)/2+(y1+y2)/2

M(-2,5)=( 4+x2)/2+(7+y2)/2

comparing both sides

-2=(4+x2)/2

-4=4+x2

-4-4=x2

threfore,x2= -8

again

5=(7+y2)/2

10=7+y2

therefore,y2=3

thus , the coordinate of D is D(-8,3)

Find the median.
12, 5, 9, 18, 22, 25,

Answers

Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//

r= x + 9x

Solve the literal equation for x

Show steps please im confused

Answers

r=x+9x

you add the invisible 1 beside the first x and 9x

so you would get

r=10x

you then which the sides of the equation

10x = r

you divide both sides by 10

x= 1/10r

The linear equation in terms of the variable R is determined as x = R/10.

Given data:

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

The given equation is:

R = x + 9x

First, let's combine the like terms on the right side of the equation:

R = 1x + 9x

R = 10x

Now, we want to solve for x. To isolate x, divide both sides of the equation by 10:

R/10 = x

So, the solution for x is:

x = R/10

Hence, the expression for in terms of R is x = R/10.

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Invent two situations that you think would result in distributions with similar measures of variability
Explain your reasoning.

Answers

choices 3 and 4 I promise

The two situations are:

Situation 1: Test Scores in Two ClassesSituation 2: Monthly Rainfall in Two Cities

Situation 1: Test Scores in Two Classes

Suppose we have two classes, Class A and Class B, taking the same exam with the same difficulty level.

The students in Class A are known to have a consistent level of performance, with most students scoring around the class average. The students in Class B, on the other hand, have a wider range of performance, with some students performing significantly better or worse than the class average.

In this situation, both classes are taking the same exam, so the central tendency (mean) of the test scores in Class A and Class B might be similar. However, the variability (spread) of the test scores in Class B is higher due to the wider range of performance among the students.

Situation 2: Monthly Rainfall in Two Cities

Consider two cities, City X and City Y, located in the same region. They experience a similar climate and weather patterns.

Over the course of a year, both cities receive roughly the same amount of rainfall on average. However, City X experiences more consistent monthly rainfall, with each month receiving rainfall close to the yearly average. In contrast, City Y has more variable monthly rainfall, with some months experiencing much higher or lower rainfall than the yearly average.

In this situation, the central tendency (mean) of the monthly rainfall in both cities will be similar since they receive the same average rainfall over the year.

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Suppose a particle is moving along the x-axis so that it’s position at time t is given by the formula:
s(t)=2t^2 -t + 3t^1/3

Find the particle’s velocity and acceleration at time, t=1.

Answers

Answer: It should be 4

Step-by-step explanation:

Just plug in 1 for t, t=1

What’s exponent gives you 8

Answers

Answer:

There are many exponents that will give you 8.

I will list a few for you. :)

→ 2³

→ 8¹

→ [tex]\sf 4^{1.5}[/tex]

Hope this helps.

what is equivalent 3x−4y=6?

Answers

Answer:

y=(3/4)x - (3/2)

Step-by-step explanation:

3x−4y=6

isolate the y variable

-4y=-3x+6

divide by -4

y=(3/4)x - (3/2)

it is equivalent because it is the same equation just in a different form

Which expression shows the prime factorization of 36? O2×2×3 O 2×3×3 O 2×2×2×3×3 O 2×2× 3x3​

Answers

Answer:

Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

Step-by-step explanation:

Take Lcm Of 36 (Lowest Divisible)

2 | 36

2 | 18    -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

3 | 3
3 | 3

  | 1

- If it did help please mark as brainliest


The Florida Fish and Wildlife Conservation Commission is conducting a study on wildlife patterns and behaviors in a specific area of the Florida
Everglades. A stationary camera is placed where the area being observed can be filmed and recorded for 96 hours. Researchers found that the footage
revealed that the Cape Sable Seaside Sparrows were observed in the area once every 4 hours and the Florida Leafwing Butterfly was observed in the
area once every 9 hours. What is the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the
Florida leafwing butterfly in the area at the same time?
96
36
4
9

Answers

The least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

What is the least common multiple?

The least common multiple (LCM) is the smallest multiple of two or more numbers.

The LCM of 9 and 4 is 36 (4 x 9).

Data and Calculations:

The total number of hours of filming and recording by the stationary camera is 96.

The regularity of observing the Cape Sable Seaside Sparrows = every 4 hours

The regularity of observing the Florida Leafwing Butterfly = every 9 hours

Using their LCM as 36,

The Cape Sable Seaside Sparrows will be observed 9 times when they meet the Florida Leafwing Butterfly at its 4th observation.

Thus, the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

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Suki is trying to solve the equation 62.75 + x = 92.

Determine whether Suki could use each statement below to reason and solve the equation.

Choose Yes or No for each statement.

A) Suki can add 62.75 to both sides of the equation.
[ Select ]

B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]


C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]

D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]

E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]

Answers

Answer:

picle scoops ina lane

Step-by-step explanation:

Answer:

29.25

Step-by-step explanation:

What number makes the expression equivalent? 1/2 (-14m+4)= blank m+2

Answers

In linear equation, -7 m - 2 is number makes the expression equivalent.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given expression is  1/2 (-14m+ 4 )

To simplify this expression  1/2 (-14m+ 4 ) we get equivalent expression.

Multiply and Divide the expression by two.

⇒ -14m/2 + 4/2

To simplify the expression again, we get,

⇒ -7 m - 2

So, we found the coefficient of m is -7

The missing number is -7

Hence, –0.7 makes the expression equivalent.

Therefore,1/2 (-14m+4) = -7 m - 2

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Consider this figure.
For A-C, select True or False for each statement about the sequences of transformation that can verify that traingle ABC is congruent to A'B'C'.

A. Triangle ABC is translated 1 unit to the left, followed by a reflection the x-axis. True/False

B. Triangle ABC is translated 1 unit to the right, followed by a reflection the x-axis. True/False

C. Triangle ABC is reflected across the x-axis, followed by a translation 1 unit to the right.
True/False​

Answers

Answer is

A. False

B. True

C. False

According to the graph,

A (1, -2), B(b, - 2), C(1, -7), A'(-b , b), B'(-1 ,b), C'(-b , 1).

A. if ABC is reflected across x-axis. (x, y) reflected x-axis→ (x-y)

    so A'(1,2), B' (b-2), C'(1-7) , it's no equal to title .

    so A is false.

B. if ABC is translated 7 units to the left , up 8 units.

    (x, y)→(x-7,y+8),

    so  A'(-b , b), B'(-1 ,b), C'(-b , 1)

    it's equal to title. so B is true.

C.  if ABC is translated 8 units down, 7 units to right

    (x y)→(x+7, y-8),

   so A' (8,-10),B'(13,-10), C'(8,-15)

   it's not equal to title. so C is false.

A transformation is the movement of a figure. There are four types of transformations: reflection, rotation, translation, and dilation. Of these four types of transformations, a transformation can either be a congruent or similar shape to the original image. Congruent means that the shape or figure retains its size, shape, length, and angles of the original shape.

A rotation is a turn around a centre point. In a rotation, the distance from each point on the shape to the centre remains the same. A rotation is identified by a shape turning a specific amount degrees, usually 90, 180, or 270 degrees, around a point either clockwise or counter clockwise. This means with each rotation performed four things are given.

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Volume of Spheres find the volume

Answers

Step-by-step explanation:

Oke so basically we can calculate volume like this

1st: v=

[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]

Which equals:

[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]


Q1: 1+2-3+4-5+6-…-99+100

Q2: 2+4-6+8-10+12-…-198+200

please help asap!!! Brainliest will be given if correct!!! Thanks <3

Answers

Answer:

Q1. 5050        Q2. 20100

Step-by-step explanation:

161=wx14
161/14
w=11.5
16. The weather report gives the temperature as 35 degrees Celsius. Fin
equivalent temperature in degrees Fahrenheit. C = (F-32) X
35° = CF-32) F-32=5 (35)
E
■7.
17. A rectangle has perimeter 182 in. and length 52 in. What is the wic
182-104-78
78/2
8. A triangle has base 7 m and area 17.5 m². What is the height?
enVisionTM Algebra 1 Teaching Resources
. A triangle has a base 7 m and area 17.5m squared. What is the height?

Answers

59 based area 2cf of apps 56??:;56 9 based

Multiply these fractions. Cancel and simplify if necessary

Answers

Answer: KCF

Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.

Statistics involving collecting, organizing, and summarizing data is called ______. group of answer choices

Answers

Descriptive statistics are those that involve gathering, arranging, and summarizing data.

What does "descriptive statistics" mean?

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

What do descriptive statistics serve as their primary function?

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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2y-4+5y=4-3y+5
How to solve this? ​

Answers

Answer:

You would first move all of the y numbers to one side so it should look like this: 2y-4+5y+3y=4+5.  Then you would all the numbers that don't have y at the end to the other side: 2y+5y+3y=4+5+4.

Then you would add them all up:  10y=13

So your answer is 10y=13

Step-by-step explanation:

Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?

Answers

Answer:

4 liters

Step-by-step explanation:

300 × 12 = 3600 ml

3600 + 400 = 4000 ml

1 liters = 1000 ml

liters to milliliters need to × 1000

milliliters to liters need to ÷ 1000

4000 ÷ 1000 = 4 liters

If B=-2t+1B=−2t+1 and A=t+9,A=t+9, find an expression that equals 2B+2A2B+2A in standard form.

Answers

The value of 2B+ 2A -2t + 20.

what is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

B=-2t+1

A=t+9

we have to find the expression that is equivalent to 2A + 2B

so,

2A + 2B

=2( t + 9) + 2( -2t + 1)

=2t + 18 - 4t +2

=2t - 4t + 18 +2

=-2t + 20

Hence, the value of 2A + 2B = -2t + 20

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Assume there is a virus in a town, and there exists one patient on day 1.

Assume that the patient transmits the virus to another person once per day, then this other person becomes a patient, and that all carriers spread the virus at the same rate, i.e. each patient passes the virus on to one other person per day.

Once someone has caught the virus, they do not catch it again.

The town has a fixed population of 700000

and the borders are closed so that no one can enter or exit the town.

How many days does it take to make everyone in the town catch the virus?

Answers

Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.

What is an exponential function?

An exponential function is given as follows:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

For this problem, we have that:

On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.

From this, we get that the parameters are given as follows:

a = 1, b = 2.

Hence the function for the number of contaminated people after t days is given by:

[tex]f(t) = 2^t[/tex]

Now, we have to solve for t when f(t) = 700000, hence:

[tex]2^t = 700000[/tex]

[tex]\log{2^t} = \log{700000}[/tex]

[tex]t\log{2} = \log{700000}[/tex]

t = log(700000)/log(2)

t = 19.4, rounded to 20.

It takes 20 days for everyone in the town to catch the virus.

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