Which inequalities are true when m= -4

Answers

Answer 1

The inequailty y < m + 4 would be true when m = -4 and all values of y are less than 0

Which inequalities are true when m= -4

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

The statement that m = -4

The above value implies that we substitute -4 for m in an inequality and solve for the other variable (say y)

Take for instance, we have

y < m + 4

Substitute the known values in the above equation, so, we have the following representation

y < -4 + 4

Evaluate

y < 0

This means that the inequailty y < m + 4 would be true when m = -4 and all values of y are less than 0

Read mroe about inequailty at

brainly.com/question/25275758

#SPJ1


Related Questions

What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2

Answers

Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

Jayden just accepted a job at a new company where he will make an annual


salary of $41000. Jayden was told that for each year he stays with the


company, he will be given a salary raise of $2500. How much would Jayden make as a salary after 4 years working for the company? What would be his salary after t years?

Answers

Jayden's starting salary is $41000 per year. If he stays with the company for one year, he will receive a raise of $2500, bringing his new salary to $43500. If he stays for two years, he will receive another raise of $2500, bringing his salary to $46000.

If he stays for three years, he will receive a third raise of $2500, bringing his salary to $48500. And finally, if he stays for four years, he will receive a fourth raise of $2500, bringing his salary to $51000.

Therefore, after four years working for the company, Jayden's salary would be $51000 per year.

After t years, Jayden's salary would be calculated as follows:

- After one year: $41000 + $2500 = $43500
- After two years: $41000 + ($2500 x 2) = $46000
- After three years: $41000 + ($2500 x 3) = $48500
- After four years: $41000 + ($2500 x 4) = $51000
- After t years: $41000 + ($2500 x t).

To know more about raise refer here

https://brainly.in/question/31392274#

#SPJ11

Marcella drew a scale drawing of her plan to plant 6 rows of 8 trees in her orchard. The orchard is 70 meters long and 50 meters wide. Marcella used a 7-inch-wide rectangular grid for the drawing. What is the scale Marcella used for her drawing?

Answers

The scale Marcella used for her drawing is 7 inches : 50 meters

Calculating the scale used for her drawing

The statements in the question are given as

Dimension of the orchard is 70 meters long and 50 meters wide. Width of the scale drawing = 7 inches rectangular grid

The above statements imply that we have the following scale ratio

Scale = Scale measurement : Actual measurement

When the given values are substituted in the above equation, the equation becomes

Scale = 7 inches : 50 meters

The above cannot be simplified because 7 and 50 do not have common factors

So, it means that the scale Marcella used for her drawing is 7 inches : 50 meters

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

they're surprised to see that final stores the value 0.7999999999999999 instead of 0.8. what is the best explanation for that result?

Answers

The limited precision of floating-point arithmetic in computers can cause rounding errors, leading to unexpected results such as the value 0.7999999999999999 instead of 0.8. This occurs because certain decimal values cannot be accurately represented in binary form.

This is due to the way floating-point numbers are represented in the computer's memory.

Binary floating-point arithmetic cannot represent every decimal value exactly, so sometimes small rounding errors can occur.

In this case, the value 0.8 cannot be represented exactly in binary floating-point format, so the closest approximation is used, resulting in a slightly different value.

To know more about floating-point arithmetic:

https://brainly.com/question/31625629

#SPJ4

the the radian measure of each angle 1. 45 2.225 3. pie over 2
4. 3pie over 4
5. 3 radians

Answers

The radian measure of each angle:

1. π/4

2. 5π/4

The degree measure of each angle:

3. 90°

4. 135°

5. 540°

How to find the radian measure of each angle?

To find the radian measure of each angle, use π/180 to multiply each angle and then simply. That is:

1.) 45 * π/180 = π/4 radian

2.) 225 * π/180 = 5π/4 radian

To find the degree measure of each angle, use 180/π to multiply the angles and then simply. That is:

3.)  π/2 * 180/π = 90°

4.)  3π/4 * 180/π = 135°

5.)  3π * 180/π = 540°

Learn more about angle in radian on:

https://brainly.com/question/3306952

#SPJ1

. If you cut a sector out of a circle and fold the radiitogether, you can form a cone. What is the measure of angle ABCsuch that the sector will produce a cone with maximum possiblevolume?

Answers

The measure of angle ABC that will produce a cone with the maximum possible volume can be found using optimization techniques. Let r be the radius of the circle and x be the length of the radius that is cut out to form the cone. Then, the slant height of the cone can be expressed as s = sqrt(r^2 - x^2), and the volume of the cone can be expressed as V = (1/3)πx^2(r - x).To find the maximum volume, we take the derivative of V with respect to x and set it equal to zero:dV/dx = (2/3)πx(r - 2x) = 0Solving for x, we get x = r/2, which is the value that maximizes the volume of the cone. Therefore, the sector that will produce a cone with the maximum possible volume is formed by cutting a radius that is half the length of the radius of the circle. The measure of angle ABC can be found using trigonometry, as sin(ABC) = x/r = 1/2, so ABC = sin^(-1)(1/2) ≈ 30 degrees.

For more similar questions on topic Geometry / Optimization.

https://brainly.com/question/15057064?referrer=searchResults

#SPJ11

The measure of angle ABC that will produce a cone with the maximum possible volume is approximately 58.49 degrees.

To determine the measure of angle ABC that will produce a cone with the maximum possible volume, we need to use some geometry formulas.

First, we need to understand that the volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

When we fold the sector of the circle to form a cone, we need to make sure that the radius of the base of the cone is equal to the length of the arc of the sector. Let's call this length x.

Now, we know that the circumference of the circle is 2πr, and the length of the arc of the sector is x. Therefore, the measure of the angle of the sector is (x/2πr) * 360 degrees.

We want to find the measure of angle ABC that will give us the maximum possible volume of the cone. To do this, we need to maximize the value of r and h.

Using some trigonometry, we can see that sin(ABC/2) = (x/2r). Rearranging this formula, we get r = x/(2sin(ABC/2)).

Substituting this value of r in the formula for the volume of the cone, we get V = (1/3)π(x^2/(4sin^2(ABC/2)))h.

To maximize this volume, we need to maximize both x and h. We know that x is fixed, so we need to maximize h.

Using some more trigonometry, we can see that h = rcos(ABC/2) = (x/2) * cot(ABC/2).

Substituting this value of h in the formula for the volume of the cone, we get V = (1/3)π(x^2/(4sin^2(ABC/2)))((x/2) * cot(ABC/2)).

To find the maximum value of V, we need to differentiate this formula with respect to ABC and set the derivative equal to zero.

After some calculations, we get tan(ABC/2) = 2/3. Solving for ABC, we get ABC = 2tan^-1(2/3) ≈ 58.49 degrees.

Therefore, the measure of angle ABC that will produce a cone with the maximum possible volume is approximately 58.49 degrees.

To learn more about geometry, refer below:

https://brainly.com/question/18612295

#SPJ11

Can Someone Help me with this It is not easy
[ 40 POINTS]Ф

Answers

Answer:

4^9262144

Step-by-step explanation:

You get 4 pennies for a first job, 16 pennies for the second job, 64 pennies for the 3rd job, and you want to know how many pennies you get for the 9th job, if each job quadruples the pay.

Exponential expression

We can write the number of pennies as a power of 4:

job 1: 4^1 penniesjob 2: 4^2 penniesjob 3: 4^3 pennies...job 9: 4^9 pennies

You will get 4^9 pennies for the 9th job.

That is 262144 pennies.

<95141404393>

A restaurant owner rejects his produce shipment if he finds more than 3 crates with any bruised
or spoiled food in it. The probability that a crate has bruised or spoiled food in it is 0.11. What
is the probability that he will reject a shipment of 15 crates?

Answers

This is a binomial distribution problem where the probability of success (finding a bruised or spoiled crate) is 0.11 and the number of trials is 15. The restaurant owner will reject the shipment if he finds more than 3 bruised or spoiled crates.

The probability of finding 0, 1, 2, or 3 bruised or spoiled crates in a shipment of 15 crates is:

P(X = 0) = (15 choose 0) * (0.11)^0 * (0.89)^15 = 0.27
P(X = 1) = (15 choose 1) * (0.11)^1 * (0.89)^14 = 0.39
P(X = 2) = (15 choose 2) * (0.11)^2 * (0.89)^13 = 0.25
P(X = 3) = (15 choose 3) * (0.11)^3 * (0.89)^12 = 0.09

The probability of finding more than 3 bruised or spoiled crates is:

P(X > 3) = 1 - P(X ≤ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))
= 1 - (0.27 + 0.39 + 0.25 + 0.09) = 0.01

Therefore, the probability that the restaurant owner will reject a shipment of 15 crates is 0.01 or 1%.

Barry is selling baseball cards. he sold 2 for $8.00 and 4 for $14.00. what will barry charge for 7 baseball cards if he keeps selling cards at the same rate?

Answers

Barry will charge $24.50 for 7 baseball cards if he keeps selling cards at the same rate.

We can solve this problem by first calculating the price per card for each of the two deals, and then using that information to find the price for 7 cards.

Let x be the price of one baseball card, in dollars. From the information given, we know that:

2 cards cost $8.00, so 1 card costs $4.00: 2x = 8.00 => x = 4.00

4 cards cost $14.00, so 1 card costs $3.50: 4x = 14.00 => x = 3.50

So we see that the price per card is different for the two deals. To find the price for 7 cards, we can use a weighted average of the two prices:

Price for 2 cards: $8.00

Price for 4 cards: $14.00

Total price for 6 cards: $22.00

We can now find the price for one more card by subtracting the total price for 6 cards from the price for 7 cards:

Price for 7 cards: $?

Price for 6 cards: $22.00

Price for 1 card: $?

Price for 7 cards = Price for 6 cards + Price for 1 card

Price for 1 card = Price for 7 cards - Price for 6 cards

We know that the total price for 7 cards is the same as the price for 2 cards plus the price for 4 cards plus the price for 1 more card:

Price for 7 cards = Price for 2 cards + Price for 4 cards + Price for 1 card

Price for 7 cards = 2x + 4x + 1x = 7x

Substituting the value we found for x earlier, we get:

Price for 1 card: $3.50

Price for 7 cards: $24.50

Therefore, Barry will charge $24.50 for 7 baseball cards if he keeps selling cards at the same rate.

To learn more about baseball cards refer here:

https://brainly.com/question/22173143

#SPJ11

Mai  Drew does design shown below each rectangle in the design have the same area each rectangle is a what fraction of the area of the complete design 

Answers

Answer:

1/3

Step-by-step explanation:

There are 3 rectangles, so 1 rectangle is 1 out of 3 rectangles.  So the fraction would be 1/3.

Each rectangle is 1/3 fraction of the complete design.

What are Fractions?

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Given is a design drawn by Mai.

The design consists of three rectangles.

Also, given that each of the rectangle has the same area.

This means that if we find one of the rectangle's area, multiply it by 3 and we will get the whole area.

Or in other words, if we find the whole area, then divide it by 3 to get each of the rectangle's area.

So the required fraction is 1/3.

Hence the fraction is 1/3.

Learn more about Fractions here :

https://brainly.com/question/14445006

#SPJ2

Redland Municipal Middle School offers the following girls sports:



Part A:



Regina wants to play one sport in each of the three seasons during her 8th grade year. Create a list that shows the sample space for the sports that she could play.




Part B:



What is the probability that Regina plays tennis and/or basketball during her 8th grade year?

Answers

probability that Regina plays tennis and/or basketball during her 8th grade year at Redland Municipal Middle School, we first need to know the total number of sports offered and the number of students participating in each sport. However, based on the information provided in your question, we do not have sufficient data to determine the probability.

In general, to determine the probability, we would follow these steps:

1. Determine the total number of sports offered at the school (let's call this S).
2. Find out the number of students participating in tennis (T) and basketball (B).
3. Calculate the probability of Regina playing tennis (P_T) by dividing T by S.


4. Calculate the probability of Regina playing basketball (P_B) by dividing B by S.
5. Use the formula P(T or B) = P_T + P_B - P(T and B) to calculate the probability that Regina plays tennis and/or basketball. Here, P(T and B) is the probability of her playing both sports.

Without the specific numbers, we cannot provide a precise probability. Please provide more details about the sports and participation at Redland Municipal Middle School to help us calculate the probability accurately.

To know more about Redland refer home

https://brainly.com/question/30294973#

#SPJ11

A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction price. The salesperson received a commission of 25% of the difference between the auction price and the dealership price. What was the salesperson’s commission?

Answers

The commission of the salesperson is $750 if he received a commission of 25% of the difference between the auction price and the dealership price.

The salesperson's commission can be calculated by first finding the dealership price, which is 30% more than the auction price of $10,000.

30% of $10,000 = $3,000

Dealership price = $10,000 + $3,000 = $13,000

Next, we need to find the difference between the dealership price and the auction price

$13,000 - $10,000 = $3,000

The salesperson's commission is 25% of this difference

25% of $3,000 = $750

Therefore, the salesperson's commission is $750.

To know more about commission here

https://brainly.com/question/858984

#SPJ1

Estimate the radius of the object. Round to the nearest hundredth if necessary.


C = 8. 9 mm


radius: about


mm

Answers

The estimated radius of the object is about 1.42 mm.

The given information is that the circumference( C) of the object is8.9 mm.

We know that the formula for the circumference of a circle is given by  

C =  2πr  

where r is the compass of the circle.  

To estimate the compass, we can rearrange the formula as

  r =  C/ 2π  

Substituting the given value of C, we get

  r = 8.9/ 2π

we can  estimate this expression to get  

r ≈1.42 mm( rounded to two decimal places)

Learn more about radius at

https://brainly.com/question/15719137

#SPJ4

The table shows the number of beads used to make a necklace.
Ginger wants to make a smaller necklace using the same ratio of pink to white beads.
How many different necklaces could Ginger make?
How do you know?

Answers

Answer:

The Answer is 5

Step-by-step explanation:

Pink beads : White beads

30 : 35

( 30 / 5 ) : ( 35 / 5 )

6 : 7

To find the number of beads, You divide the number of pink beads available by the number of pink beads in the ratio:

= 30 / 6

= 5 necklaces

hope this helps :)

Albert and Makayla are each renting a car for one day. Albert’s rental agreement states that the car costs $35 per day and $0. 15 per mile driven. Makayla’s agreement states that the car she is renting costs $45 per day and $0. 10 per mile driven. Write an equation to determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals

Answers

To determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals, we can write an equation using the given information:

Albert's cost = $35 per day + $0.15 per mile driven
Makayla's cost = $45 per day + $0.10 per mile driven

Since they spend the same amount of money, we can set the costs equal to each other:

35 + 0.15m = 45 + 0.10m

Now, we need to solve the equation form, the number of miles driven:

1. Subtract 0.10m from both sides:
35 + 0.05m = 45

2. Subtract 35 from both sides:
0.05m = 10

3. Divide both sides by 0.05:
m = 200

So, if Albert and Makayla spend the same amount of money on their rentals, they both drive 200 miles.

Learn more about rental agreement at https://brainly.com/question/3237108

#SPJ11

Lines AC and BD intersect at point O. Lines AC and BD intersect at point O. If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC?

A. 6°
B. 53°
C. 89°
D. 106°

Answers

Answer: the answer is B. 53°

Step-by-step explanation:

(10x-7) = (7x+11)

10x-7-7x =7x+11-7x

3x-7=11

3x-7+7=11+7

3x=18

x=6

Plug 6 into angle ∠BOC

7x+11

7(6)+11

42+11

53°

Given that lines AC and BD intersect at point O, we know that ∠AOD and ∠BOC form a linear pair. It means that the sum of those angles should be 180° since the straight line's sum is 180°.

Therefore, we can create the equation (10x - 7)° + (7x + 11)° = 180°, where x is the variable we need to find.

By combining like terms, we simplify this equation to 17x + 4 = 180.

To isolate x, we have to subtract 4 from both sides of the equation, resulting in 17x = 176.

Now, dividing both sides by 17, we find that x equals approximately 10.35.

Finally, to find measure of ∠BOC, we just need to substitute the value of x we found into the expression of m∠BOC: m∠BOC = 7*10.35 + 11, which is approximately 83.47°.

Based on the choices given, C. 89° is the closest to our calculated value. Therefore, the answer is C. 89°.

Learn more about Algebraic Form here:

brainly.com/question/36839735

#SPJ11

Scientists measured 24 geodes in kilograms and got the following data: 0.9, 1.1, 1.1, 1.2, 1.5, 1.6, 1.7, 1.7, 1.7, 1.9, 2.0, 0.8, 2.3, 5.3, 6.8, 7.5, 9.6, 10.5, 11.2, 12.0, 17.6, 23.9, and 26.8
How many items belong to the interval 10.1-15

Answers

Answer:

the answer to your problem is 3

A $70,000 mortgage is $629. 81 per month. What was the percent and for how many years?


9%, 20 years



9%, 25 years



7%, 20 years



9%, 30 years

Answers

The closest answer is 9% interest rate and 25 years term of the loan.

Assuming the $70,000 mortgage is a fixed-rate mortgage, we can use the formula for the monthly payment of a mortgage to solve for the interest rate and the term of the loan.

The formula is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

where:

M = monthly payment

P = principal (amount borrowed)

i = interest rate (per month)

n = number of months

Substituting the given values, we get:

$629.81 = $70,000 [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

Using a mortgage calculator or by trial and error, we can find that the closest answer is 9% interest rate and 25 years term of the loan.

learn more about "Principal amount":- https://brainly.com/question/25720319

#SPJ11

Please help!!! prove triangle abe is congruent to triangle cde

Answers

To prove that triangle ABE is congruent to triangle CDE, we need to show that all three corresponding pairs of sides and angles are equal.

Firstly, we can see that angle ABE is congruent to angle CDE as they are both right angles (90 degrees).

Secondly, we can see that side AB is congruent to side CD as they are both the hypotenuse of their respective triangles.

Lastly, we need to show that side AE is congruent to side CE. We can do this by using the Pythagorean theorem.

In triangle ABE, we have:

AE^2 = AB^2 - BE^2

In triangle CDE, we have:

CE^2 = CD^2 - DE^2

Since AB is congruent to CD and BE is congruent to DE (they are corresponding sides), we can substitute and simplify:

AE^2 = CD^2 - DE^2 - BE^2

CE^2 = CD^2 - DE^2

Therefore, if we subtract the second equation from the first, we get:

AE^2 - CE^2 = -BE^2

Since BE is a positive length, -BE^2 is negative. Therefore, AE cannot be equal to CE.

Thus, we have shown that triangle ABE is not congruent to triangle CDE.

To know more about congruent refer here

https://brainly.com/question/12413243#

#SPJ11

Greg uses a triangular area of his backyard as a garden. If the area of his backyard is 1,248 square feet, what is the area of the garden?

Answers

Unfortunately, we don't have enough information to determine the area of the garden. We would need to know the dimensions of the backyard and/or the garden to calculate their areas.

To know more about calculating areas refer here:

https://brainly.com/question/30656333

#SPJ11

please help...................

Answers

8(5)-9
40-9

Answer is 31

The domain in a set of ordered pairs is always the y-coordinate.


True or False

Answers

Answer: False

Step-by-step explanation: It is false because the y-coordinate is the range.

A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 95% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0. 78 to 0. 98. Which of the following is the correct interpretation of the confidence interval?



Group of answer choices



1)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break.



2)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true mean of all students at this college who plan to visit family during Thanksgiving break.



3)95% of students at this college are going home during Thanksgiving Break.



4)None of these are correct

Answers

The correct interpretation of the given confidence interval is 95% confidence that the true proportion of all students at this college who plan to visit family during Thanksgiving break is between 0.83 and 0.93 .
Then the required answer to the given question is Option D.


Let us consider a random sample of 318 students from a large college that were asked if they are planning to visit family during Thanksgiving break. Now placing the given random sample, the proportion of  95% confidence interval of all students at this college that planned to visit family during Thanksgiving break is 0.78 to 0.98 .


The formula for evaluating the confidence interval is

CI = p ± z × √((p × (1 - p)) / n)

Here,
CI = confidence interval,
p = sample proportion,
z = z-score corresponding to the desired level of confidence (in this case, 95%)
n is the sample size .

Applying  the values

CI = 0.88 ± 1.96 × √((0.88 × (1 - 0.88)) / 318)
CI = 0.88 ± 0.05
CI = (0.83, 0.93)
To learn more about confidence interval,
https://brainly.com/question/20309162
#SPJ4

Find cot0, sin 0, and csc 0, where 0 is the angle shown in the figure.
Give exact values, not decimal approximations.
0
11
8
cot 0 = 0
sin 0 = 0
csc 0 = 0

Answers

Answer:

Step-by-step explanation:

sun cos

A doctor saw 8 patients a day for 7 days. How many patiencents did he see altogether

Answers

The doctor saw 56 patients altogether during the 7 days.

To find out how many patients the doctor saw altogether, we need to use multiplication.
Identify the number of patients seen per day (8 patients).

Identify the number of days the doctor worked (7 days).

Multiply the number of patients per day by the number of days worked.
8 patients/day × 7 days = 56 patients.

The doctor saw 8 patients per day for 7 days, so the total number of patients he saw in a week is

Therefore, the doctor saw a total of 56 patients in 1 week.

For similar question on days.

https://brainly.com/question/30879646

#SPJ11

Dolly went to the Walmart and he buy 14 teddy bears and 3 dolls for 158 $ and her sister went to the Gwinnett place mall and she buy 8 teddy bears and 12 dolls for 296 $. If they both buy same brand bears and dolls, then what is price of one teddy bear and one doll? (use matrices multiplication to solve system of equations. ) (Show work)

Answers

According to formed equations, the price of one teddy bear and one doll is $7 and $20 respectively.

Let us represent the teddy bear as x and dolls as y. Now, framing the equation for Dolly and Gwinnett.

Cost of teddy bear × number + cost of dolls × number = total expenditure

14x + 3y = 158 : equation 1

8x + 12y = 296 : equation 2

Divide the equation by 4

2x + 3y = 74 : equation 3

Subtraction equation 3 from equation 1

14x + 3y = 158

- 2x + 3y = 74

12x = 84

x = 84/12

x = $7

So, the cost of teddy bear = $7

keep the value of x in equation 3 to find the cost of y

2×7 + 3y = 74

14 + 3y = 74

3y = 74 - 14

3y = 60

y = 60/3

y = $20

Thus, the cost of teddy bear and dolls are $7 and $20.

Learn more about equation -

https://brainly.com/question/2972832

#SPJ4

Solve the following system of equations using Gauss-Jordan elimination method. (Hint: your given Ax=b, you should solve for the inverse of A and obtain x= A A. 4x1 + 3x2 + x3 = 2
B. x1 + x2 + x3 = 3 C. 2x1 + 5x2 + 2x3 = 1

Answers

The Gauss-Jordan elimination method is used to obtain the inverse of a matrix and solve a system of equations. The solution for the given system is x1 = 2/3, x2 = 5/3, x3 = 2/3.

We can represent the given system of equations in the matrix form as

| 4   3   1 |   | x1 |   | 2 |

| 1   1   1 | * | x2 | = | 3 |

| 2   5   2 |   | x3 |   | 1 |

Let's perform Gauss-Jordan elimination to obtain the inverse of the matrix A.

Augment the matrix with an identity matrix of the same order:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |

| 1   1   1 | * | 0  1  0 | = | ? ? ? |

| 2   5   2 |   | 0  0  1 |   | ? ? ? |

Use row operations to transform the left side of the augmented matrix into an identity matrix:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |   | 1  0  0 |

| 1   1   1 | * | 0  1  0 | = | ? ? ? | =>| 0  1  0 |

| 2   5   2 |   | 0  0  1 |   | ? ? ? |   | 0  0  1 |

To achieve this, we can subtract 2 times the second row from the third row, and subtract 4 times the second row from the first row:

| 4   3   1 |   | 1  0  0 |   | ? ? ? |   | 1  0  0 |

| 1   1   1 | * | 0  1  0 | = | ? ? ? | =>| 0  1  0 |

| 0   3   0 |   | 0 -2  1 |   | ? ? ? |   | 0  0  1 |

Next, we can divide the second row by 3 to obtain a leading 1 in the second row, and subtract 3 times the second row from the first row:

| 1   0  -1 |   | 1 -1  1/3 |   | ? ? ? |   | 1  0  0 |

| 0   1  0  | * | 0  1  0   | = | ? ? ? | =>| 0  1  0 |

| 0   0  1  |   | 0 -2  1   |   | ? ? ? |   | 0  0  1 |

Finally, we can add the third row to the first row and subtract the third row from the second row

| 1   0  0 |   | 1 -1  4/3 |   | ? ? ? |   | 1  0  0 |

| 0   1  0 | * | 0  1  2   | = | ? ? ? | =>| 0  1  0 |

| 0   0  1 |   | 0 -2  1   |   | ? ? ? | =>| 0  0  1 |

Hence, we have obtained the inverse of the matrix A as

| 1 -1  4/3 |

| 0  1  2   |

| 0 -2  1   |

We can now find the solution vector x by multiplying the inverse of A with the vector b

| x1 |   | 1 -1  4/3 |   | 2 |

| x2 | = | 0  1  2   | * | 3 |

| x3 |   | 0 -2  1   |   | 1 |

Performing the matrix multiplication, we get

| x1 |   | 2/3 |

| x2 | = | 5/3 |

| x3 |   | 2/3 |

Therefore, the solution of the given system of equations is

x1 = 2/3

x2 = 5/3

x3 = 2/3

To know more about Gauss-Jordan elimination method:

https://brainly.com/question/12090959

#SPJ4

The floor of a storage unit is 6.4 feet long and 6.2 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.

Answers

Answer: 8.9

Step-by-step explanation:

This is pythagoras.

[tex]a^{2} + b^{2} = c^{2}\\6.4^{2} + 6.2^{2} = c^{2}\\40.96 + 38.44 = 79.4\\\sqrt{79.4} = 8.91066776398[/tex]

8.91066776398 = 8.9 (nearest tenth)

You doing practice 2

Answers

Answer:

there is a lot of words

Step-by-step explanation:

6209

The equation x^2+y^2=1156 represents the service that a cell phone tower provides. How far from the tower will you receive cell phone service?

Answers

The distance from the tower that you will receive the phone service is: 34 units

How to find the equation of the circle?

The general form of the equation of a circle is:

(x – h)² + (y – k)² = r²

where:

(h, k) represents the location of the circle's center.

r represents the length of its radius.

We are given the equation that represents the service that a cell phone tower provides. The equation is:

x² + y² = 1156

Expressing in standard form of equation of a circle gives:

(x – 0)² + (y – 0)² = 34²

Thus, r = 34 will denote the distance from the tower that you will receive the phone service

Read more about Equation of Circle at: https://brainly.com/question/1506955

#SPJ4

Other Questions
A hotel room in New Orleans during Mardi Gras costs considerably more than it would during the following week. This is an example ofa.cost-based pricing.b.status-quo pricing.c.price adjustment.d.variable pricing.e.price differentiation. 0. 18 g of adivalent metal was completely dissolved in 250 cc of acidsolution containing 4. 9 g H2SO4 per liter. 50 cc of theresidual acid solution required 20 cc of N/10 alkali forcomplete neutralization. Calculate the atomic weight ofmetal. 39. Ans: 36 Which of the following standards is required by the fair labor standards act Diversified drilling purchased an oil well for $7,850,000. additional costs included drilling rights of $1,350,000 and site preparation costs of $1,800,000. the salvage value was estimated to be zero. if 4,400,000 barrels are expected to be extruded over the next eight years, what is the book value of the oil well after the first year if 625,000 barrels of oil are extruded Lab tests of a new drug indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in the table using a representative simulation. The letter E stands for "effective," and N stands for "not effective. " (TL;DR: Each E stands for 'effective' and each N stands for 'not effective'. You need to calculate the ratio of Es to Ns in percentage. )EEEENEEEEEEEEEENNEEN NEEEEENENNNENEENEENE NENEEEEEEEEENNNEENEE NEENENEEEENNENNENEEE ENENEEEEEEENNEEEEENN EENEEEENEEEEEENEEEEE ENEEENNNEENEEEEEEEEN NEEEENEENEEEEEEEEEEE NENNEENNNNNNEEEEEEEE ENNNNENNNEENENEEEENEThe estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is [blank]. The estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is [blank] Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field? lbc corporation makes and sells a product called product wz. each unit of product wz requires 3.0 hours of direct labor at the rate of $26.00 per direct labor-hour. management would like you to prepare a direct labor budget for june. the budgeted direct labor cost per unit of product wz would be: a 6.00-kg block is in contact with a 4.00-kg block on a horizontal frictionless surface as shown in the figure. the 6.00-kg block is being pushed by a horizontal 20.0-n force as shown. what is the magnitude of the force that the 6.00-kg block exerts on the 4.00-kg block? Use the excerpt to answer the following question. this insurance will help pay for care in hospitals, in skilled nursing homes, or in the home. and under a separate plan it will help meet the fees of the doctors. . . . during your working years, the people of americayouwill contribute through the social security program a small amount each payday for hospital insurance protection. for example, the average worker in 1966 will contribute about $1.50 per month. the employer will contribute a similar amount. and this will provide the funds to pay up to 90 days of hospital care for each illness, plus diagnostic care, and up to 100 home health visits after you are 65. president lyndon b. johnson, july 30, 1965 in this excerpt, president johnson is describing which newly enacted law? a medicare act b social security act c affordable care act d americans with disabilities act Which of these was a result of the general acceptance that microorganisms cause desease Which TWO statements represent the relationship between y = 5x and y = log5 x The are the exponential and logarithmic form of the same equation They are symmetrix over the line y=0 They are symmetric over the line y=x They are inverses of one another According to the text, each of the three branches of government is no powerful than the other two. This is known as: a. separation of powers b. jurisdiction of autocracy c. systematic government Create a list of books you like most. Make sure the list has more than 7 books. Assume you want to randomly assign one book to read to each of your 7 friends. Make sure no two people get the same book assigned to them.This a coding question, so paste your answer directly from python You are researching the Holocaust for a school paper and have located several Web sites for information.In three to five sentences, describe the method you would use to determine whether each Web site is a suitable source of information for your paper. Which major sound device die the poet use to empathize the rivers purpose in the stanza Find the values of x for which the series converges. (Enter your answer using interval notation.)(6)^nx^n Gel Electrophoresis: please fill in the blanks! Which revision best uses a phrase to combine the first two sentences?There was a raging forest storm.Deep in the forest, a storm was raging.To escape the storm, forest animals hid.To the animals of the forest, a storm raged. Select the correct answer.where are globular clusters usually found?oa. diskob. nucleusoc. interstellar spaceod. halo Which equation can be solved to find one of the missing side lengths in the triangle? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 60 degrees. The length of side C B is a, the length of C A is b, and the length of hypotenuse A B is 12 units.cos(60o) = StartFraction 12 Over a EndFractioncos(60o) = StartFraction 12 Over b EndFractioncos(60o) = StartFraction b Over a EndFractioncos(60o) = StartFraction a Over 12 EndFractionMark this and return