−8≤2−10
Can you please help me find it?

Answers

Answer 1

Answer:

-8 [tex]\leq[/tex] -8

Step-by-step explanation:

-8[tex]\leq[/tex]2-10

-8[tex]\leq[/tex]-8

Answer 2

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8


Related Questions

What is the solution of the pair of equations y 0 and y =- 3?

Answers

The solution of the pair of equations y = 0 and y = -3 is y = -3/2.

The given pair of equations is:

y = 0

y = -3

We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:

y + y = 0 + (-3)

2y = -3

We then divide both sides by 2 to get the solution for y:

2y/2 = -3/2

y = -3/2

Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.

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Solve for x in this triangle. Round your answer to the nearest tenth. 18 Xº 23​

Answers

Answer:

51.50004959055205

Step-by-step explanation:

[tex]sin (x) = \frac{18}{23}[/tex]

Please help me !!

this the last question !!

Answers

Answer:

2 ≥ p

Step-by-step explanation:

-14 ≤ -7p

Divided both sides by -7. Because divided by a negative number, the < will turn to >

So, the equation is

2 ≥ p

Because there is an equal, the circle will be close and to the left of 2.

Answer:

2 ≥ p

Step-by-step explanation:

Have a great day :) <3

Solve for x. each figure is a parallelogram

it's 40 points for the 4​

Answers

3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )

4.) x =6

5.) x = 10

6.) x = 9

Explanation:

1.) write your equation down 8x + 9 = 131

2.) Subtract +9 from 131. you'll get 122

3.) divide 8x and 122.

4.) Then there's your answer 15.25

you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.

Is 10 12 15 a right triangle?

Answers

No, 10, 12, and 15 are not the lengths of the sides of a right triangle.

A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).

The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.

In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:

10^2 + 12^2 = 15^2

100 + 144 = 225

244 ≠ 225

Therefore, 10, 12, and 15 are not the side lengths of a right triangle.

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A line has a slope of 1/5 and passes through the point (3,10). What is its equation in point-slope form? Use the specified point-slope form.

Answers

The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that a line has a slope of 1/5 and passes through the point (3, 10)

We can write the slope of the line as -

m = 1/5

For the point (3, 10), we can write -

y = (1/5)x + c

10 = (1/5) x 3 + c

c = 10 - 3/5

c =  47/5

Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

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25

1 point

(3x + 32)

(5x - 8)

Select the correct equation to solve for x,

3x + 32 + 5x - 8 = 180

3x + 32 = 5x - 8

3x + 32 + 5x - 8 = 90

Answers

The value of x is 20

Now, According to the question:

The given equation is:

3x + 32 = 5x - 8

To solve the equation for finding the value of x .

32 + 3x = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

32 + 3x  -5x = -8 + 5x  -5x

Combine like terms:

3x  -5x = -2x

32  -2x = -8 + 5x  -5x

Combine like terms: 5x  -5x = 0

32  -2x = -8 + 0

32  -2x = -8

Add '-32' to each side of the equation.

32  -32 -2x = -8  -32

Combine like terms: 32  -32 = 0

0 -2x = -8  -32

-2x = -8  -32

Combine like terms: -8  -32 = -40

-2x = -40

Divide each side by '-2'.

x = 20

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Find the total surface area of a cone with a base diameter of 7cm and height of 8cm

Answers

Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.

To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:

r = 7cm / 2 = 3.5cm

Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.

slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm

Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.

S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²

So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²

Step-by-step explanation:

M(2,4) is the midpoint

between the points A(-2,9)

and B.

Find the coordinates of B.

Answers

The coordinates of B are (6,0).

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:

((x1 + x2) / 2, (y1 + y2) / 2)

In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:

((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)

We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation

((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)

Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.

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Subtract (9x-12)-(5x-7)

Answers

Answer:

Step-by-step explanation:

(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5

if you like this pls give me 5 stars, tku!

What is 5 in the expression 5x called?

Answers

The term 5 in 5x is known as the coefficient of the expression.

A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.

A coefficient is a generally a multiplicative factor in a polynomial series, or in an  equation.

Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.

Eg, 2x - 90 =45

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Tim's phone service charges $24.20 plus an additional $0.17 for each text message sent per month. If Tim's phone bill was $28.45, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.17x + $24.20 = $28.45 B. $0.17x - $24.20 = $28.45 C. $24.20x + $0.17 = $28.45 D. $24.20x - $0.17 = $28.45

Answers

Answer:

A

Step-by-step explanation:

each text message is .17 text messages are x the total bill is 28.45. the service charges are 24.20.

.17x + 24.50 = 28.45

PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system

Answers

Answer:

you can eliminate the x terms in this system by multiplying each side by 3.

Step-by-step explanation:

in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together

a written example for further clarification:

step 1:

4y + 3x = -6

3*(y - x = -5)

up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)

step 2:

distribute the 3 to all terms in the second equation. this gives you:

(3y-3x = -15).

step 3:

now add this new equation to the first equation (4y+3x=-6).

This gives you:

4y+3x=-6

+

3y-3x=-15

then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).

which gives you (7y=-21)

see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!

It take Thorton 4 hour to edit a video for hi chool. If he ha already pent 2. 5 hour on thi video, what percent of the video i edited?

Answers

Using the concept of fraction, the percentage edited on the video is 62.5 percent.

What is Percentage

Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.

In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;

percentage edited = (2.5 / 4) × 100

Percentage = 0.625 × 100

Percentage = 62.5 %

From the above, Thorton has edited 62,5 percent of the video for his school project.

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Z= [?]° i dont know how to type out the question​

Answers

Answer: first u have to find the perimiter for each side

Step-by-step explanation:

the answer is 100 d z

Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.

Answers

Answer: Maisie walked 6.4 miles.

Step-by-step explanation:

Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:

y = 1.6(x)

In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.

y = 1.6(4)

y = 6.4 miles.

Molly and Liza are exercising. Molly does
10 push-ups at the same time
as Liza
does 15 push-ups. When Molly does
40 push-ups, how many push-ups does
Liza do?

Answers

Answer:

25

Step-by-step explanation:

so molly and liza are exercising right?.so 10 push-ups at the same time wich means they do 10 push-ups together and liza push-ups 15 and molly does 40 pushups so. its addition so 10+15=25 so thats the answer.

3x-y=2 and 12x-4y=4 parellel or perpendicular line

Answers

Answer:

They are parallel line.

For a loan of. 8,75,000 how much interet will be charged by the bank for 2
month if the rate i 4. 75% per year?

Answers

Total interest charged by bank in 2 months is 6793.83.

What is compound interest ?

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

The interest that is obtained through the reinvestment of money is known as compound interest. The original principal investment grows substantially more quickly (sometimes referred to as exponentially) when interest is reinvested and allowed to compound over time.

Total loan amount = 875000

total time = 2 months

Rate = 4.75%

Total interest = 875000(1 + [tex]\frac{4.75}{100}[/tex])[tex]\)^{\frac{1}{6} }[/tex] - 875000 =  6793.83

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What is the product of and 3 /- 4?

Answers

Using multiplication we know that the product of 3 * - 4 is -12.

What is multiplication?

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.

A product is the output of a multiplication operation.

The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.

So, we have:

3 * -4

Here, we know that 3 is a positive number and -4 is a negative number.

And so the product will be a negative number.

Now, calculate the product as follows:

3 * -4

-12

Therefore, using multiplication we know that the product of 3 * - 4 is -12.

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47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:

Answers

Answer:

47.07, 47.16, 47.3, 47.4, 48.1

Step-by-step explanation:

lol

One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?

Answers

Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.

What do you mean by proportion?

A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.

What do you mean by ratio?

A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.

Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.

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Please help me!
Will give you brainlist!!!!

Answers

Example of monomial- 2, ab, and 42xy
2nd example- 5x, 2y to the third power, 7xy, x to the 5th power.
Example of binomial- x-2 x -2
2nd example- x-6 x negative 6 x negative 6 again.
Example of trinomial- x+y+z is a trinomial in three variables, x, y and z. 2a to the second power + 5a +7 is a trinomial in one variables. Xy+ x+2y to the second power is a trinomial in two variables x and y.
Examples of polynomial- 3x+2x-5
2nd example- 3x to the second power -2x -10.

PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.

Answers

Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m

What is the height?

Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.

Given that the rocket's flight can be approximated approximatively using the equation,

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt = --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Find out the maximum height.

h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3

h(1.5) = -27 + 57

h(1.5) = 30m

As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.

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The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?

Answers

The total quantity of water that the container would have to hold is given as 8.

How to find the total quantity of water

We know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.

We can use the following formula to find the number of bottles:

Number of bottles = Container size / Size of each bottle

We can substitute the values into the formula:

Number of bottles = 1 / (1/8) = 8

So the container can hold 8 bottles of water.

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The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap

Answers

Answer: 12.96

Step-by-step explanation: you should multiply 12 * 0.08 = 0.96

then just add 0.96 + 12 = 12.96

HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong

Answers

Answer:

the answer is 1

Step-by-step explanation:

4(2x-3)=6x+2

8x-12=6x+2

+6x   +6x

14x-12 =2

    +12 +12

14x=14

x=1 and don't worry we all make mistakes

A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?

Answers

Answer:

For this example they are all the same thing.  

530:1 or 530 mph

Step-by-step explanation:

A unit rate is when the denominator is 1.  In this case, the denominator is already 1 hour.

Please Help! You Dont Have To do the Bottom Questions Just The Top!

Answers

Answer:
a. 0.5 + 0.3 = 0.8
b. 2.7 + 28.8 = 30.9
c. 3.1 + 2.4 + 9.9 = 15.4
d. 15.2 + 1.4 + 0.8 = 17.8
e. 39.2 + 2.5 + 0.8 = 42.3

Step-by-step explanation:
a. 0.54 rounded to the nearest 10th will be 0.5 because 4 doesn't round up numbers. 0.278 rounded to the nearest tenth will be 0.3 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 0.5 and 0.3, you get 0.7.

b. 2.65 rounded to the nearest 10th will be 2.7 because any number equal to or greater than 5 rounds up the number in front of itself. 28.17 rounded to the nearest 10th will be 28.2 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 2.7 and 28.2 you get 30.9.

c. 3.09 rounded to the nearest 10th will be 3.1 because any number equal to or greater than 5 rounds up the number in front of itself. 2.41 rounded to the nearest 10th will be 2.4 because 4 doesn't round up the number. 9.86 rounded to the nearest 10th will be 9.9 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 3.1 + 2.4 + 9.9, you get 15.4.

d. 15.234 rounded to the nearest 10th will be 15.2 because 3 doesn't round up the number. 1.37 rounded to the nearest 10th will be 1.4 because any number equal to or greater than 5 rounds up the number in front of itself.
0.76 rounded to the nearest 10th will be 0.8 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 15.2 + 1.8 + 0.8, you get 17.8.

e. 39.18 rounded to the nearest 10th will be 39.2 because any number equal to or greater than 5 rounds up the number in front of itself. 2.48 rounded to the nearest 10th will be 2.5 because any number equal to or greater than 5 rounds up the number in front of itself. 0.84 rounded to the nearest 10th will be 0.8 because 4 doesn't round up the number. 39.2 + 2.3 + 0.8 = 42.3

The table shows data for 4 cyclists during one day of training.


Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.


Cyclist Distance (mi) Time (hr) Rate (mi per hr)

Alisha 40 4

Jose 30 2

Raul 40 4

Ruthie 80 5

Answers

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

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If a large amount of lactate is being produced, what is the best conclusion that you can make about the rate (how fast) and amount (magnitude) of energy needed Which of the followingstatements would be trueif the government taxedits citizens less?A. The government would havemore money to spend.B. The citizens would have lessmoney to spend.C. The government could increaseits expenditures.D. The government would have lessmoney to spend. organum was an early form of what major musical development? polyphony, tonality, monody, harmony Different textbooks were grouped in various ways but in general the six main external environments are economy citing culture politics and law competition technology and natural environment yes or no A beaker was filled with a mixture of 40 liters of water and a liquid chemical in the ratio of 3 : 5, respectively. 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His valet noticed his discomfort and a mischievous idea entered his head.When next it thundered, the valet rode up behind his master and gave him a blow on the back of his head, at the same time shouting: "Lightning!"Chen Yu thought he had been struck by lightning and slumped onto the back of his horse. After some time he raised his head again. When again it thundered the valet gave him another blow, shouting as before. This happened again and again. On the tenth occasion, the aristocrat fell from his horse and became unconscious.The valet dismounted and sat beside him. He felt remorse for what he had done. After all, the man was his master and also, much older than him. When Chen Yu began to stir, the boy quickly lay down and closed his eyes. Chen Yu got up and was pleased to see that his valet too had been knocked unconscious. He began to shake him. The lad opened his eyes and pretended to be dazed."What happened, master?" he said."Lightning hit you just once and you became unconscious!" laughed Chen Yu. "I was hit ten times before I fell."When the storm had subsided they resumed their journey. Chen Yu felt that the gods had punished him for his cruelty to his manservant and from then on never hit the valet again.1What caused the valet to feel bitter?(1 Point)A. frequent abuse from his masterB. being forced to ride on an old horseC. his inability to ride as fast as his masterD. his inability to feed himself and his horse2 Chen Yu's anger soon subsided but the valet smouldered. The word 'smouldered' has been used to mean that the valet............(1 Point)A. felt guilty and wanted to apologiseB. tried hard to forget about the incidentC. felt very strongly but didn't express itD. became angry with his master for the first time3Why was Chen Yu pleased to see the valet unconcious?(1 Point)A. He was happy that he woke up first.B. He took it as proof that he was stronger.C. He realised that the gods agreed with him.D. He wanted his valet punished for riding slowly.4I was hit ten times before I fell. Which of the following best describes the tone of the above line?(1 Point)A. angryB. arrogantC. sarcasticD. Humourous5Which of these best describe Chen Yu?(1 Point)A. witty and cheerfulB. greedy and jealousC. strong and intelligentD. short tempered and proud6The last paragraph reveals that Chen Yu is..........(1 Point)A. wiseB. religiousC. stubbornD. forgivingNext Locating Fractions on a Number LineA BHot-2-1IntroCD+++++0 1 2Use the drop-down menus to label the points on thenumber line.Point A is atPoint B is atPoint C is atPoint D is at Irascible \Vi-ra-s-bl\ adjective 1. Having or showing a tendency to be easily angered. Middle French, from Late Latin irascibilis, from Latin irasci to become angry, be angry, from ira. Using the dictionary entry, which sentence uses irascible correctly? A. When Sadie heard the concert had been cancelled, she became irascible and cried herself to sleep from disappointment. B. Mr. Cowen, a well-liked science professor, often gave his students funny nicknames, which demonstrated his irascible nature. C. On the days when Liam's guitar lesson proved he had practiced hard all week, his teacher was irascible instead of her usual cheerful self. D. The irascible dog growled and snarled whenever strangers neared the fence Why is it important to create a program for GLCD?{I NEED THIS FOR MY ROBOTICS IF ANY OF U GUYS HAVE THIS SUBJECT} 1.5b dressing up (adverbs) What is the equation of this line of best fit in slope-intercept form? y = negative one halfx + 8 y = 2x + 8 y = 8x + one half y = 8x + 2 What are decidable and undecidable problems? Could Japan have won ww2? Which of the following is true about the fate of fatty acids after their absorption?Select one:a. Fatty acids of 16 or more carbons enter the blood and then the liver via the portal vein.b. Fatty acids of less than 12 carbons enter the lymphatic system packaged in chylomicrons.c. Fatty acids of less than 12 carbons enter the blood and then the liver via the portal vein.d. Fatty acids of 16 or more carbons enter the lymphatic system directly and then enter the blood via the aorta. Which rhetoric appeal relates to the trustworthiness of the speaker? ethos kairos logos pathos The photograph helps readers interpret the important details in the text, because it shows a realistic portrayal of a human body. it illustrates the description written in the text. it shows that African art is always abstract. it demonstrates that Greek art differs from African art. Ethanol (C2H5OH) melts a - 144 oC and boils at 78 C. The enthalpy of fusion of ethanol is 5. 02 kj/mol, and its enthalpy of vaporization is 38. 56 kj/mol. The specific heats of solid and liquid ethanol are 0. 97j/g - k and 2. 3 j/g - K, respectively. (a) How much heat is required to convert 42. 0 g of ethanol at 35 C to the vapor phase at 78 C? (b) How much heat is required to convert the same amount of ethanol at - 155 oC to the vapor phase at 78 C?