State if the three numbers can be the measures of the sides of a triangle. 7, 10, 10

Answers

Answer 1

Yes, these numbers meet the triangular inequalities, then these can be the measures of the sides of a triangle.

Can be the measures of the sides of a triangle?

Remember that if A, B, and C are the sides of a triangle, then the triangle inequality says that:

A + B > C

A + C > B

C + B > A

As long as 3 values are solutions of the inequalities, then these can be the sides of a triangle.

if we use:

A = 7

B = 10

C = 10

Then we get:

7 + 10 > 10 ---> 17 > 10

7 + 10 > 10 ---> 17 > 10

10 + 10 > 7 ---> 20 > 7

All the ienqualities are true, thus, these can be the measures of the sides of a triangle.

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Related Questions

Ann and leila are driving separate cars to New York. They begin the trip with full gas tanks. The amount of gas (in gallons) remaining in the tank of each car depends on the number of miles driven, as shown below.After 225 miles driven, which car will have less gas remaining?After how many miles will the tanks contain the same amount of gas? If the number of miles driven is less than this, which car will have more gas remaining?

Answers

After 180 miles both the cars' tanks contain same amount of gas.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, Ann and Leila are driving separate cars to New York. They begin the trip with full gas tanks.

From the given  graph,

After 360 miles Ann's car has 2 gallons of gas.

After 180 miles both the cars' tanks contain same amount of gas.

When they travelled less than 180 miles, Leila's car has more gas.

Therefore, after 180 miles both the cars' tanks contain same amount of gas.

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Find the measure of the angle. Round to the nearest degree

Answers

Answer:

59.036

Step-by-step explanation:

tanΘ = opposite/adjacent

Θ =tan⁻¹(opposite/adjacent)

tan⁻¹(10/6) - 59.03624347

What is the equation of the line that passes through the point (8, 4) and has a slope
of o?

Answers

The equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

What is the slope intercept?

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

The line passing through the point (8, 4) and having a slope of 0 is a horizontal line which is parallel to the x-axis. The slope (m) of this line is 0.

The point-slope form of this line would be:

(y - 4) = 0(x - 8)

Simplifying this, we get:

y = 4

Hence, the equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

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Rosa gasto 11.52 en 8 collares de dulces para cada una de sus dos amigas cuánto costó cada collar

Answers

Answer:

1.44

Step-by-step explanation:

11.52/8=1.44

Can someone explain to me why the answer is 90 and not 1080? I think it has to do with the inches and ft. But I don’t remember how you solve it.

Answers

Answer:

You are correct

Step-by-step explanation:

You are correct sir. They want the answer in feet, so everything on that triangle has to be converted into feet.

There are 12 inches in a foot. If we do 108/12 we get 9 feet.

Kimiyo earns a weekly salary of $675 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?

Answers

Kimiyo would make $987 in a work week if she sold $4,800 worth of merchandise.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Kimiyo earns a weekly salary of $675 plus a 6.5% commission on sales at a gift shop.

She sold $4,800 worth of merchandise.

That means,

the commissioned amount = 4800 x 6.5 /100

The commissioned amount = $312

In a week,

Kimiyo's total earning is,

= $675 + $312

= $987

Therefore, $987 is the total salary.

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Chapter 6
Lesson 2 skills practice numerical expressions

Answers

The Numerical Expressions answers are shown below:

What is Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

1. 7-6+ 5

= 7 -1

= 6

So, the value of 7-6+ 5 is 6.

2. 31 +19 -8

= 31 + 11

= 42

So, the value of 31 +19 -8 is 42.

3. 64-8+21

= 56 + 21

= 77

So, the value of 64-8+21 is 77.

4. 17+34-2

= 51-2

= 49

So, the value of 17+34-2 is 49.

5. 28+ 89 -67

= 117-67

= 50

So, the value of 28+ 89 -67 is 50.

6. (8+1) x 12- 13

= 9 x 12 -13

= 108 - 13

= 95

So, the value of (8+1) x 12- 13 is 95.

7. 63/9 +8

= 7 +8

= 18

So, the value of 63/9 +8  is 18.

8. 5 x 6 -(9-4)

= 5x 6 - 5

= 30- 5

= 25

So, the value of 5 x 6 -(9-4)  is 25.

9. 13x 4 -72 /8

= 13 x 4 - 9

= 52- 9

= 43

So, the value of 13x 4 -72 /8  is 43.

10. 16/2 + 8 x 3

= 8 + 8 x 3

= 8+24

= 32

So, the value of 16/2 + 8 x 3  is 32.

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Find the plane determined by the intersecting lines.
L1 x= -1 + 3t y = 2+2t z=1-t
L2 x=1-4s y=1+2s z=2-2s

Answers

In a plane, intersecting lines are any two or more lines that cross each other. The point of intersection is the common point shared by all intersecting lines.

What are Intersecting Lines?In a plane, intersecting lines are those that cross one another three times or more. The point of intersection is the shared location between all intersecting lines that exists on all intersecting lines.Point O represents the point of intersection where lines P and Q meet in this instance.Specifications of intersecting linesWhen two or more lines intersect, they always do so at the same location.Any angle may be used to intersect the lines. Always more than 0° and less than 180° is the angle that is generated.Vertical angles are created by two intersecting lines. There is a common vertex between the opposing vertical angles (which is the point of intersection).Vertical angles a and c are equivalent in this case. Additionally, b and d have equal vertical angles and are vertical angles.A plus D equals a straight angle of 180 degrees.

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Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6.00 inches at the top and a height of 10.0 inches. At the instant when the water in the container is 8.00 inches deep, the surface level is falling at a rate of 0.9 in./sec. Find the rate at which water is being drained from the container.

Answers

The rate at which the water flow from the given volume is 21.72 in³/sec

What is rate at which the water flow

To find the rate at which water is being drained from the container, we first need to find the rate at which the water level is falling and then use that to calculate the volume of water being drained per unit of time.

We know that the surface level is falling at a rate of 0.9 inches per second and that the container has the shape of an inverted right circular cone. The volume of a cone is given by the formula:

V = (1/3) * π * r^2 * h

Where V is the volume, π is pi (approximately 3.14), r is the radius of the base, and h is the height of the cone.

We can use this formula to find the volume of the container when the water level is 8 inches. The radius at this point is 6 * (8/10) = 4.8 inches and the height is 8 inches.

V = (1/3) * π * (4.8 inches)^2 * 8 inches = 193.02 inches³

Now that we know the volume of the container when the water level is 8 inches, we can use the rate at which the water level is falling (0.9 inches per second) to find the rate at which the water is being drained.

The rate at which water is being drained = rate of change of volume / rate of change of height = dV/dt = dV/dh * dh/dt = -dV/dh * dH/dt

Where dV/dh is the derivative of volume with respect to height, dH/dt is the rate of change of height.

-dV/dh = -(1/3) * π * (4.8 inches)^2 = -24.13 in³

dH/dt = -0.9 inches/sec

The rate at which water is being drained = -dV/dh * dH/dt = -24.13 * -0.9 inches/sec = 21.72 in³/sec

So the rate at which water is being drained from the container is 21.72 in³/sec

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Diya earned a 36 out of 80 on a test. Her teacher offered extra credit that would allow Diya to double her score. What score could she earn if she completes the extra credit?

Answers

Diya could earn 72 marks out of 80 after getting the extra credits.

What are extra credits in School?

Teachers employ extra credit for a variety of reasons. For example, it may be felt that students who are highly capable may benefit from an additional challenge that might not be suitable as required work for all students. Extra credit may also be used as a way to allow a student to improve their grade after a weak performance earlier in a course. In both of these cases, extra credit can promote differentiated instruction by factoring in optional work in the assessment of student performance.

Given here: Diya scores 36 out of 80 on a test.

Also, her teacher gives her extra credit with which she could double her marks.

If Diya doubles her marks then her total marks would be 72

Therefore the increase in her marks is 72-36=36

She could earn another 36 credits.

Thus her score after the extra credit is equal to 72

Hence, Diya could earn 72 marks out of 80 after getting the extra credits.

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True or false? A hair clip is 1 4/7 inches long. A paper clip is 5/6 inches long. The two items are about the same length.

Answers

The answer would be false ! If you turn both fractions into decimals, they’re different.

Tyrone put 1/3 teaspoon of salt in a batch of cookie dough. He thought that might not been enough salt, so he added another 1/4 teaspoon. How much salt did Tyrone use in total?

Answers

Answer:

7/12 of salt.

1/4 + 1/3 =

1/3 + 1/4 =

4/12 + 3/12 = 7/12.

Step-by-step explanation:

Hope it helps! =D

a movie theater has 7 shows a day 4 days per week and 11 shows a day 2 days per week together how many shows in 6 days

Answers

The movie theater will have 50 shows in 6 days

To find the total number of shows in 6 days, we need to calculate the number of shows for each type of day (4 days per week with 7 shows per day and 2 days per week with 11 shows per day) and then add them together.

First, let's calculate the number of shows for the 4 days per week with 7 shows per day:

4 days per week x 7 shows per day = 28 shows per week

Next, let's calculate the number of shows for the 2 days per week with 11 shows per day:

2 days per week x 11 shows per day = 22 shows per week

Now, we can add the number of shows for each type of day together to find the total number of shows in 6 days:

28 shows per week + 22 shows per week = 50 shows in 6 days

We used multiplication to calculate the number of shows per week for each type of day (by multiplying the number of days by the number of shows per day) and then added the two results together to find the total number of shows in 6 days.

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please help will mark BRAINLIEST ​

Answers

The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

What exactly is the degree formula?

Yes, we can use the radian-to-degree formula to convert a negative radian to a degree. Degrees = Radians 180 / is the formula, and it may be used for both positive and negative values. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees).

These are referred to as parallels. A circle of latitude is an imaginary ring that connects all places that share a parallel. The Equator is the 0 degree latitude line. Each parallel is one degree north or south of the Equator, with 90 degrees north and 90 degrees south respectively.

Hence, The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

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If the coordinates of a quadrilateral composed in the first quadrant of the coordinate plane are (0,0), (a,b), (a+c,b), and (c,0), which is the most accurate classification of the quadrilateral?
a. trapezoid
b. rectangle
c. parallelogram
d. square

Answers

the opposite sides of the quadrilateral PQRS are equal and parallel and so PQRS is a PARALLELOGRAM.

Option (C) is CORRECT.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, that the coordinates of the vertices of a  quadrilateral composed in the first quadrant of the coordinate plane are (0,0) (a, b), (a + c, b), and (c, 0).

We are to select the most accurate classification of the quadrilateral.

Let the coordinates of the vertices of the quadrilateral be P(0,0), Q(a, b), R(a + c, b), and S(c, 0).

The lengths of the sides are calculated using the distance formula as follows :

PQ = √(a² + b²)

QR = √(a +c -a)² + (b-b)² = √c² = c

RS =  √(a² + b²)

SP = c

So, the opposite sides are equal in length.

And, the slopes of the sides are calculated as follows :

The slope of PQ(m₁) = (b-0)/(a-0)

The slope of QR(m₂) = (b-b)/(c-a-c) = 0

The slope of RS(m₃) = 0-b/(c-a-c) = 0

The slope of SP(m₄) = (0-0)/(0-c) = 0

So, the slopes of the opposite sides are equal but:

m₁ *m₂ = 0 ≠ -1

m₃ *m₄ = 0 ≠ -1

Therefore, the opposite sides of the quadrilateral PQRS are equal and parallel and so PQRS is a PARALLELOGRAM.

Option (C) is CORRECT.

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X+6y=-2 show ur work

Answers

The equation when making x the subject is X = -2 - 6y

How to make x the subject

To do this, we would have to take the values that are in the left hand side to the right hand side. When we do this, the signs on the left hand side would have to change

X+6y=-2

we have to take +6y to the right hand side.

When the positive sign crosses the equal sign it becomes negative

X = -2 - 6y

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X+6y=-2 show ur work make x the subject

in the x y coordinate plane, which of the following points must lie on kx + 3y + 6 if k = -1/2 ​

Answers

Answer:

honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.

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Step-by-step explanation:

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the price of a new car is 23% more than the price of a 3-year old car. if the price of the new car was $12,400, what is the price of the 3-year old car?

Answers

Answer: To find the price of the 3-year old car, we need to determine how much less it is than the new car, which is 23% of the price of the new car.

We can start by finding the value of 23% of the price of the new car, which is: $12,400 x 0.23 = $2,832

Now we know that the price of the 3-year old car is $2,832 less than the price of the new car. To find the price of the 3-year old car, we subtract $2,832 from the price of the new car: $12,400 - $2,832 = $9,568

So the price of the 3-year old car is $9,568.

Step-by-step explanation:

Quadrilateral EFGH is a rhombus.
Which additional fact would prove that
EFGH is a square?
O A) EG ~ FH
O BEG 1 FH
O C) EG bisects LFEH
O DILFEH ~ LFGH

Answers

The additional fact that would prove that

EFGH is a square is D) IFLEH ~ LFGH.

What is a quadrilateral?

A quadrilateral is a plane figure with four edges and four corners, also known as vertices. The quadrilateral's four vertices or corners all have angles.

If a quadrilateral is a rhombus, that means opposite sides are congruent, but it does not mean that all angles are congruent. In order to prove that EFGH is a square, we need to show that all angles are congruent. The statement "IFLEH ~ LFGH" implies that all angles in the quadrilateral are congruent, since it states that opposite angles are congruent, which is one of the defining characteristics of a square. Therefore, statement D is the correct answer.

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32.- The high costs of the California real estate market have caused families who cannot afford to buy larger houses to consider backyard sheds as an expansion option. Many are using their patio structures to build their studios, art rooms, and hobby areas, as well as for additional storage. The median price for a custom-built backyard clapboard frame is $3,100 (Newsweek, September 29, 2003). Assume that the standard deviation is $1,200.

A)¿Cuál es el valor z para una estructura de patio trasero que cuesta $2 300?

b) ¿Cuál es el valor z para una estructura que cuesta $4 900?

C) Interprete los valores z en los incisos a) y b). Comente si alguna debe considerarse una observación atípica.

D) El artículo de Newsweek describió una combinación de oficina en el cobertizo del patio trasero construida con $13 000 en Albany, California. ¿Esta estructura debe considerarse una observación atípica? Explique por qué.

Answers

a) The z-score for a structure costing $2,300 is given as follows: -0.67.

b) The z-score for a structure costing $4,900 is given as follows: 1.5.

c) The interpretation of each z-score is given as follows:

A structure costing $2,300 has the price 0.67 standard deviations below the mean, and the cost is not unusual.A structure costing $4,900 has the price 1.5 standard deviations above the mean, and the cost is not unusual.

d) The structure would have an unusual price, as the z-score has an absolute value greater than 2.

How to obtain the z-scores?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.A mesure X is considered unusual if the z-score has an absolute value greater than 2.

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 3100, \sigma = 1200[/tex]

For item a, the z-score is then given as follows:

Z = (2300 - 3100)/1200

Z = -0.67.

For item b, the z-score is then given as follows:

Z = (4900 - 3100)/1200

Z = 1.5.

For the price of $13,000, the z-score is given as follows:

Z = (13000 - 3100)/1200

Z = 8.25.

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A bakery used 30% more sugar this month than last month.If the bakery used 560 kilograms of sugar lost month,how much did it use this month?

Answers

728 kilograms of sugar is used in this month.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a bakery used 30% more sugar this month than last month.

Let us convert 30% to decimal.

Divide 30 by 100

30/100=0.3

the bakery used 560 kilograms of sugar last month we have to find the amount of sugar used this month.

Now multiply 30% of 560

0.3×560

168.

So now 560+168=728 is the amount of sugar used this month.

Hence, 728 kilograms of sugar is used in this month.

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Luke says 1/5 +2/5 =3/10 Describe the error .

Answers

It would be 3/5 because you don’t add the denominators. The denominator stays the same.

A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.

Answers

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

A line passes through the point(-8, -9) and has a slope of Write an equation in slope-intercept form for this line. -5/4​

Answers

Answer:

y = (-5/4)x - 19

Step-by-step explanation:

Given information,

Slope(m) = -5/4

→ Point = (-8, -9)

→ y-intercept = b

The slope-intercept form is,

→ y = mx + b

Now the y-intercept will be,

→ y = mx + b

→ -9 = (-5/4)(-8) + b

→ -9 = 10 + b

→ b = -9 - 10

→ [ b = -19 ]

Then the required equation is,

→ y = mx + b

→ [ y = (-5/4)x - 19 ]

Hence, this is the equation.

An aspiring figure skater named Anthonia has been working on her triple axel jump. She lands it 33.33% on average. Her competition, Zahra, has also been working on her triple axel jump averaging 45% of successful lands. If both are competing at the same event, what is the probability that Anthonia will land her jump and Zahra will not land her axel jump?

Answers

If Anthonia and Zahra compete at the same event, the probability that Anthonia will successfully land her jump and Zahra will not land hers is 18.33%.

What is the probability?

We describe probability as the chance or likelihood that an expected event occurs when there are many possible outcomes.

Probability lies between one and zero when it is not 100% certain or uncertain.

The probability that Anthonia lands her triple axel jump = 33.33%

The chance that Anthonia does not land her jump = 66.67% (1 - 33.33%)

The likelihood of Zahra landing her jump successfully = 45%

The odds that Zahra will not successfully land her jump = 55% (1 - 45%)

The probability that Anthonia lands successfully while Zahra does not = 18.33% (33.33% x 55%)

Thus, Anthonia has the chance of winning Zahra at 18.33%.

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vertex to standard form

Answers

The quadratic function y = 7(x + 1)² + 1 in standard form is y = 7x² + 14x + 2.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The given quadratic function is -

y = 7(x + 1)² + 1

Solve the equation to get the standard form.

First solve using the formula (a + b)² = (a² + 2ab + b²) -

y = 7(x + 1)² + 1

y = 7(x² + 2x + 1) + 1

Now, open the brackets -

y = 7x² + 14x + 1 + 1

Now, add the like terms -

y = 7x² + 14x + 2

Therefore, the value is obtained as 7x² + 14x + 2.

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QUICK!!! WHAT IS -2 2/5 times -1/3
(Please show work)

Answers

-2 2/5 x -1/3

-2 2/5 = -12/5 x -1/3
= 4/5

the answer is 4/5 or 0.8 in decimal form if you need it

6-7 Collisions and Explosions (1-D)
1. A flatcar with mass M, traveling at speed v, collides with and couples to a parked
boxcar. They move off together with a speed of 1/3 v. What is the mass of the boxcar?

Answers

They move off together with a speed of 1/3 v,The mass of the boxcar is m/3 (V₁ - V₂)².

What is mass?

A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.

in Kinetic energy 4 system, the

K = Kf-Ki

K = 1 (Mcar + Mtruck) Vp ² + mcarv₁_ J 2 2 + Mtruck V2 2 2

K = +(m+2m) (V₁+2√2)² +mv₁² - 1 x 2m v₂ ² 2 2 9

K m (v, ² + 4 √₂ ² + AV₁ V2 ) - { mv, ² - tn v₂ 2 2 6

K = m (V₁²+ 4V₂² + 4 V₁ V2 -1/3V, ² - 6V, ²) /6.

K = m/6 (4V₁V2.-2V₁2-2√22)

k = + m/3 (V₁ - V₂)²

They move off together with a speed of 1/3 v, The mass of the boxcar is m/3 (V₁ - V₂)².

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please solve quickly! (15 points)

Answers

Answer:

Step-by-step explanation:

36

(

x

+

3

)

2

(

x

3

)

2

The lowest commondenominator is
(X-3)^2(x+3)^2
So we get
(X+3)^2 - 2(x^2-9)+(x-3)^2 / (x-3)^2)(x+3)^2
= x^2 +6x+9-2x^2+18+x^2-6x+9 / (x-3)^2(x+3)^2
= 36/(x-3)^2(x+3)^2

given that we assume that all numbers are distinct, explain why it is without loss of generality to assume that a > d

Answers

Since it has no impact on the result or solution of the problem, assuming that a > d does not reduce the generality of the statement. If a > d, the issue can be solved by simply swapping the values of a and d.

It makes no difference to the problem whether an is more or less than d because we are presuming that each integer is distinct. Furthermore, by supposing that a > d, the problem's variables can be arranged consistently, making it simpler to comprehend and resolve. As a result, making the assumption that a > d does not reduce the generality of the solution because the problem remains the same and the assumption may be readily changed if necessary.

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If (-2, b) is a point on the graph of 2x + 3y = 2, what is b? All of the following would be considered a direct material for an automobile exceptA. TiresB. BatteriesC. fabric for seatsD. sand paper. The speed of an object undergoing constant acceleration increases from 8.0 meters per second to 16.0 meter per second in 10 seconds. How far does the object travel during the 10 seconds? using tools such as a digital calendar and a spreadsheet to track team tasks is evidence of what project management skill? Algebra 2 volume 2 question 60 the relationship between commitment and strategic options may be beast described as: [see p.98] group of answer choices commitments increase the value of real options by committing to a set of options, a firm can reconcile two sources of value: value from deterring competitors and value from real options making commitments inevitably involve giving up options the two reside in different realms of analysis: commitments can be analyzed using game theory; real options can be analyzed using financial theory Which of the following is put forth as a reason for trade restrictions? A. National pride can take precedence over the gains from trade. B. Domestic industries need protection from foreign competition while they develop a comparative advantage. C. Citizens don't want to send their money overseas. D. Countries don't want to become overly reliant on other countries. E. All of the above. a. graphite, a form of elemental carbon,can be turned into diamond ,and other form of carbon, at very high temperatures and pressures. type of property a graph of a linear equation passes through (-2,0) and (0,-6). Is 3x-y=-6 an equation for this graph? (Yes or no question)3. Explain your reason of how you know Define racial violence Label the parts of the diagram. theres is no E pcr is commonly used in research, forensics, and for the diagnosis of pathogens and genetic diseases. a commercial standardized diagnostic pcr test has been developed that uses one set of primers to amplify a short dna template. for which scenario would such a standardized pcr test be most appropriate? 1. Write a short story beginning with the following line: I looked to the left, then to the right. Seeing no one I opened the door and quietly slipped out. has to be 2 paragraphs Write a recursive formula for the following arithmetic sequence.16,13,10,7a1=a(n)= blank for n >_ 2 What is reality? By Roger Penrose. ...What is life? By Robert Hazen. ...Do we have free will? By Patricia Churchland. ...Is the universe deterministic? By Vlatko Vedral. Answer this if you can graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (4,220) and (7,385) to find the number of soda bottles the machine can make each minu To trigger the increased of blood flow to increase the loading of hemoglobin with oxygen in the lungs theA) pH in the lungs should be slightly acidicB) PO2 in the lungs should be highC) PCO2 in the lungs should be lowD) DPG levels in the red blood cells should be highE) PO2 in the blood should be low harley was tested 10 times and 9 of those times he choose the correct cup. 1. identify the observational unit and the variable in Given, y x+bIn the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of thefollowing relationship between a and b must be true?A a>bB b>aC |a|> |b|D a = -b if a point is on the perpendicular bisect or if a segment then what is it