If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer 1

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca


Related Questions

i need help on this question

i need help on this question

Answers

Answer:\(180\pi\)

Step-by-step explanation:

\(v=\pi rx^{2} h\\v=\pi 6^{2} 5\\\\v=180\pi\)

How many more minutes can mate car travel per gallon of gas then jenna's car

Answers

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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complete these. Show your thinki
b.
3.25 ft =
in
HELPPPP

complete these. Show your thinkib.3.25 ft =in HELPPPP

Answers

Answer:

35 inches

Step-by-step explanation:

multiply length value by 12

The correlation coefficient is most directly related to: the slope of the regression line the mean of Y the mean of X the regression constant

Answers


The correlation coefficient is most directly related to the slope of the regression line. It measures the strength of the linear relationship between X and Y, while the slope of the regression line tells us how much Y changes for each unit change in X.

The correlation coefficient is a statistical concept that refers to the strength and direction of a linear relationship between two variables. It is a number that ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases, while a value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other increases as well. A value of 0 indicates no correlation, meaning that there is no linear relationship between the two variables.

The correlation coefficient is most directly related to the slope of the regression line. The regression line is a line that best fits the data points in a scatterplot. It is used to estimate the value of one variable based on the value of another variable. The slope of the regression line is the change in Y for a unit change in X. It tells us how much Y changes for each unit change in X. The correlation coefficient measures the strength of the linear relationship between X and Y. If the correlation coefficient is positive, then the slope of the regression line is also positive, meaning that as X increases, Y also increases. If the correlation coefficient is negative, then the slope of the regression line is also negative, meaning that as X increases, Y decreases.

The mean of Y and the mean of X are not directly related to the correlation coefficient. The mean of Y is the average value of Y, while the mean of X is the average value of X. They are used to calculate the intercept of the regression line, which is the value of Y when X is 0. The regression constant is another name for the intercept of the regression line. It is also not directly related to the correlation coefficient.
The mean of Y, the mean of X, and the regression constant are not directly related to the correlation coefficient.

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What step would be necessary if you wished to conduct a poll with a margin of error of zero?

Answers

The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

What is a poll?An opinion poll, often known as a poll or a survey, is a human research survey of public opinion from a specific sample. Opinion polls are often designed to depict a population's opinions by asking a series of questions and then extrapolating generalities in ratio or within confidence intervals. A pollster is somebody who conducts polls.If we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

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a motorist travels 2 hours at an average speed of 120km/h.He then travels 2.5 hours at an average speed of 102km/h. Calculate the average speed through out the journey​

Answers

The motorist travel 2 hours at a speed of 120km/h -> In 2 hours, he/she travel : 120 x 2 = 240km

The next 2.5 hours, the motorist travel at 102km/h -> In 2.5 hours, he/she travel : 102 x 2.5 = 255km

So, he/she travel 255 + 240 = 495km in 4.5 hours

-> His/her average speed is : 495 : 4.5 = 110km/h.

Whitney drink 1,500 mL of water each day troy drink 1. 8 L of water each day

Who drink more water?

By how much water?

Answers

The person who drink more water is Troy and he drinks 0.3 L more than Whitney

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem, we have to do the conversion of units with the given information:

Information about the problem:

Whitney = 1500 mLTroy = 1.8 L1 L is equal to 1000 mL

By converting the unit from mL to L, we have:

1500 mL * (1 L / 1000 mL ) = 1.5 L

Comparing the volume of water that Whitney and Troy drink we have:

1.8 L > 1.5 L

Troy > Whitney

Troy drinks more water than Whitney

Calculating how much water Troy drinks more, we get:

Volume difference = Troy - Whitney

Volume difference = 1.8 L - 1.5 L

Volume difference = 0.3 L

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A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text, the amount of fuel a certain pump dispenses is normally distributed with a mean of 1\text{ L}1 L1, start text, space, L, end text and standard deviation of 0.05\text{ L}0.05 L0, point, 05, start text, space, L, end text. Let XXX represent the amount dispensed in a random trial when the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text. Find P(0.9

Answers

On solving the provided question, we can say that by probability the value of P(x > 1.05) is 0.16

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The value of P(x > 1.05) is 0.16

н = 0.05 standard deviation

α = 1.0000 mean

Ψ = sample reading

z-score

z = x - u/p

z   =  1.05 - 1 / 0.05

soz

P(x>1.05) = 0.1587

P(x>1.05) =  0.16

Hence, the value of P(x > 1.05) is 0.16

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The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

Answers

Answer:

122

Step-by-step explanation:

Find the volume of a cylinder with a diameter of 28 meters and a height of 6 and one half meters. Approximate using pi equals 22 over 7.

28,028 cubic meters
4,004 cubic meters
1,274 cubic meters
572 cubic meters

Answers

The volume of the cylinder is 4004 cubic metres.

How to find the volume of a cylinder?

The diameter of the cylinder is 28 metres and the height of the cylinder is 6.5 metres.

Therefore, the volume of the cylinder can be found as follows:

Hence,

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

volume of the cylinder =  22 / 7 × 14² × 6.5

volume of the cylinder = 22 / 7 × 196 × 6.5

volume of the cylinder = 28028 / 7

volume of the cylinder = 4004 cubic metres

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Hi I need help with this exercise, I hope and you can solve it quickly, my grades are in your hands!
Find the six trigonometric values. Give exact answers. 13. 0 = cos^-1 (3/7) ​

Answers

Answer:

13. 0 = cos^-1 (3/7)

answer is 13

no solution HEHHEE

Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.

pls help



A.

10 ounces


B.

12 ounces


C.

40 ounces


D.

72 ounces

Answers

A. 10
8+1+1=10
Add up the ounce of the bag of lettuce

If f(x) = 4x + 5, determine the value of f(−3) .

Answers

Answer:

F(x)= -7

Step-by-step explanation:

f(-3)=4(-3)+5

F(-3)=  - 12 + 5

F(x)= -7

Hope this helps

Answer:

f(-3)= -7

Step-by-step explanation:

To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.

f(x)=4x+5

Therefore, we can substitute -3 in for x.

f(-3)=4(-3)+5

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 4 and -3

f(-3)=-12+5

Add -12 and 5

f(-3)= -7

What is the equation of the line shown in the graph?​

What is the equation of the line shown in the graph?

Answers

Answer:

y=-3

hiiiiiiiiiiiiii

What is the range of the function?

What is the range of the function?

Answers

Answer:

j -last one

Step-by-step explanation:

the range represents all values of y so the answer is J

help please and thankyou 3

help please and thankyou 3

Answers

The trigonometric function use to solve the angle x in the right triangles are as follows:

sin x = 6 / 10cos x  = 5 / 10tan x = 4 / 6

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The side and angles of a right angle triangle can be found using trigonometric ratios.

Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

cos x = 1 / 2

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

tan x = 2 / 3

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A store is having a holiday sale and Anna has $75 to spend on buying Blu-rays, DVDs, and video games. Blu-rays (b) cost $10 each, DVDs (d) cost $4 each, and video games (v) cost $20 each. Which equation represents this situation?

A store is having a holiday sale and Anna has $75 to spend on buying Blu-rays, DVDs, and video games.

Answers

Step-by-step explanation:

The answer is option D.

15th term is 48, 40th term is 223. determine a, d, and the general formula

Answers

Answer:

\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)

\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)

Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.

Answers

Answer:

$1615

Step-by-step explanation:

500(1+.05/1)^24

500(1+.05)^24

500*1.05^24

500*3.23

1615

a company is developing a new drug for reducing the symptoms of pollen allergies. they have developed two forms of the drug: a and b. the company wants to find out which form is most effective and to determine whether the amount to be taken each day should be split into one, two, or three doses. a set of volunteers who suffer from pollen allergies is randomly split into groups to receive treatments. a) how many factors are there? what are they? b) how many levels of the factors are there? what are they? c) how many treatments are there? what are they? d) referring to the experiment above, identify the following: response variable experimental units e) how might you incorporate a control group? why might a control group be beneficial?

Answers

The experiment involves two factors, six treatments, and the response variable is the reduction in pollen allergy symptoms among the experimental units.

The experiment being conducted by the company involves two forms of a drug, namely A and B, and aims to determine which form is more effective in reducing pollen allergy symptoms, and whether the daily amount should be split into one, two, or three doses. There are two factors involved in the experiment: the form of the drug (A and B) and the number of doses (one, two, or three). The drug form factor has two levels (A and B), while the dose factor has three levels. Therefore, there are a total of six treatments in the experiment, which are as follows: A1, A2, A3, B1, B2, and B3. The response variable in the experiment is the reduction in pollen allergy symptoms, and the experimental units are the volunteers who suffer from pollen allergies. A control group can be incorporated into the experiment by randomly assigning some volunteers to receive a placebo or an existing allergy medication, instead of the new drug. A control group would be beneficial in order to compare the effectiveness of the new drug with the existing treatment, and to ensure that any observed effects are not due to chance or other factors.

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The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.

Answers

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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when sally has 1 doughnut, she gets $5 worth of enjoyment. when she has 2 doughnuts, she gets a total of $8 worth of enjoyment. when she has 3 doughnuts, she gets a total of $9 worth of enjoyment. when she has 4 or more doughnuts, she still gets a total of $9 worth of enjoyment. if the price of each doughnut is $2, how many doughnuts will sally buy?

Answers

Since 3 doughnuts is more expensive than and closer to pricing at 2, Sally can only eat 2 doughnuts.

In economics, marginal utility refers to the addition of pleasure or benefit utility a buyer gets by purchasing an extra unit of a good or service. When marginal utility is greater than or equal to price, total utility is maximized. Minimum Utility MU It speaks about increased utility as a result of consuming an extra unit of a commodity.

The change in overall utility is known as marginal utility.

When she accepts two donuts, her marginal utility is three (8–5=3).

Her marginal utility for eating three donuts is 1 (9 – 8).

Since 3 is more expensive than and closer to price at 2, she should only eat 2 doughnuts.

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18 2 1 18 3 2 18 3 2 21 3 3 21 3 4 22 4 4 23 4 6 23 4 7 25 4 8 step 1 of 2 : find the p-value for the regression equation that fits the given data. round your answer to four decimal places.

Answers

P-value of less than 0.05 is typically considered statistically significant, indicating that the relationship between the variables in the regression equation is unlikely to be due to chance.

To find the p-value for the regression equation that fits the given data, you would need to conduct a regression analysis. This involves analyzing the relationship between the variables in the data set and determining whether there is a statistically significant relationship. Unfortunately, the data set you provided does not have any indication of what the variables are or what the regression equation is, so it is impossible to provide a specific answer to your question.
However, if you do conduct a regression analysis and obtain a p-value, you would round your answer to four decimal places as requested in the question. The p-value is a decimal value that represents the probability of obtaining the observed results if the null hypothesis is true. Based on the data provided, we first need to calculate the regression equation. However, the data seems to be presented in an unclear format. Please provide the data as pairs of x and y values, like this: (x1, y1), (x2, y2), (x3, y3), and so on. Once you provide the data in this format, I'll be happy to help you find the p-value for the regression equation, rounded to four decimal places.

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explain why the function defined by M(t) = 2t + 1 has no maximum value on the interval [0,4)

Answers

The function defined by M(t) = 2t + 1 has no maximum value on the interval [0,4) as the derivative of m(t) is not equal to zero.

The maxima of the function can be calculated by the derivative of the function. The derivative is equated to 0 to calculate the critical points. If the second derivative is negative at this critical point then a maximum exists at this point.

The function is M(t) = 2t + 1 . Differentiate the function with respect to t. Now equate the derivative to 0. This will give the critical point. Since 2 is not equal to 0, the critical point does not exist on the curve of the function. Therefore, the function M(t) = 2t + 1does not have a maxima.  M(t) = 2t + 1

   d/dt M(t) = d/dt 2t + 1

                  = 2

d/dt m'(t) = 0

2 not equal to 0

The function does not have a critical point. Therefore, the maxima do not exist for the function.

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I have $50 and i'm gambling on a series of coin ips. For each head i win $2 and for each tail i lose $1. What's the probability that i will run out of money

Answers

The probability that I will run out of money is 3.55e−11 using Asymmetric ruin probability

Given that, for each head, I win $2 and for each tail, I lose $1.

Here we have to use the Asymmetric ruin probability concept.

This means here we have rewards and losses.

Suppose we have x dollars, then we have a probability of running out of money is like p(x+2)- p(x) = p(x) - p(x-1).

p(x+2) +p(x-1) -2p(x) = 0.

It only has a solution in the form x^n, where x is a root of the characteristic polynomial.

x^3 - 2*x^2 + 1 = 0.

Now we have to solve x^3 - 2*x^2 + 1 = 0.

by solving this equation we can get p(n) = \(((\sqrt{5} - 1)/2)^n\)

if we put n = 50 so we can get p(50) = \(((\sqrt{5} - 1)/2)^(50)\)

p(50) is about  3.55e−11.

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What are the x- and y-intercepts of the graph of 3x+6y=12?

Answers

Answer:

X-int.: (4,0)

Y-int.: (0,2)

Step-by-step explanation:

help me please I’m begging you:(

help me please Im begging you:(

Answers

Answer:

Chips = 14

Pretzel = 14

Cookie = 8

Popcorn = 13

Question Mark = 222

Step-by-step explanation:

First Equation:

Chips + Pretzel + Chips = 42

Third Equation: Chips = Pretzel.

This means that

Pretzel + Pretzel + Pretzel = 42

Pretzel = \(\frac{42}{3} =14\)

Chips = Pretzel

Chips = \(14\)

Second Equation:

Cookie + Chips + Cookie = 30

We know that Chips = 14.

Cookie + 14 + Cookie = 30

Subtract 14 on both sides:

Cookie + Cookie = 16

Cookie = \(16\div 2 =8\).

Fourth Equation:

Cookie + Cookie + Popcorn = 29

We know that Cookie = 8.

8 + 8 + Popcorn = 29

16 + Popcorn = 29

Subtract 16 on both sides:

Popcorn = 13.

Question Mark:

(Popcorn + Popcorn) \(\times\) Cookie + Chips = (13 + 13) \(\times\) 8 + 14 = 26 \(\times\) 8 + 14 = \(208+14=222\)

Answer:

Chips-14

Pretzel-14

Cookie-8

Popcorn-13

?=118

Step-by-step explanation:

Plzzzzzzzzzzz helppppppppppp

Plzzzzzzzzzzz helppppppppppp

Answers

Step-by-step explanation:

It’s in step one.

Ling subtracted 6.2 to get rid of it on both side but instead they subtracted it from the right side but added it to the left side when Ling was supposed to subtract from both sides.

Hawaii has an area of 1.1 x 104 square miles and a
population of 1.2 x 10% people.
Which key strokes on a calculator will give the population
density of Hawaii?

Hawaii has an area of 1.1 x 104 square miles and apopulation of 1.2 x 10% people.Which key strokes on

Answers

Answer:

A i think its a A try. it it that looks correct

Answer:

Its B, 1.2EE6/1.1EE4

Step-by-step explanation:

The density is 109.9, and this is the only equation that gives you this answer

i also took the test!

my friend and i have different calling plans. mine has a monthly fee of $40 with unlimited minutes. my friend pays $0.06 a minute and a $25 monthly customer fee. we both talked about 350 minutes last month. how much will my friend's charge be for last month?

Answers

The total would be 25 + (0.06 x 350) = $51. So my friend's charge for last month will be $51.

My friend's charge for last month will be calculated by adding the monthly customer fee of $25 and the minutes spent price of 0.06 for the 350 minutes spent. The total would be 25 + (0.06 x 350) = $51. So my friend's charge for last month will be $51.

Monthly customer fee = $25

Price per minute = $0.06

Total minutes spent = 350

Total cost = $25 + (0.06 x 350)

Total cost = $25 + 21

Total cost = $51

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