Write a linear function f(x)=mx+b for the table

Write A Linear Function F(x)=mx+b For The Table

Answers

Answer 1

The standard form the linear function is f(x)= -3x-3.

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+3. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=3.

You should replace in the minimum two given values for x and y in the standard form for a linear equation mx+b . Thus, you will write a system linear where from it, you can find the coefficients m and b. See below.

For x=0 and y=-3

       y=mx+b

      -3=0*m+b

      -3=b

For x=-2 and y=3

       y=mx+b

      3= -2*m+b

Now, you find b=-3, then

      3= -2*m-3

      3+3= -2m

       6=-2m

       m= -3

Thus, you can write f(x)= -3x-3.

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Related Questions

6.
(11x-47)
(6x-2)
m
1
Solve for missing variable l and m are parallel

Answers

The solved polynomial is 66x² -304x+94.

We are given a problem related to the polynomial function,  where Polynomial functions are expressions that will contain factors of changing degrees, coefficients, positive types, and constants.

Since the given  equation (11x-47)(6x-2),  both the term are in the form of multiplication, so here we use the distribute rule,

we  multiply the 6x-2 individually  with  the 11x and 47

11x(6x-2) -47(6x-2 )= 66x² -22x -282x + 94

Now,  we have two common variables of coefficients -22 and -282, after adding both of them,  the final outcome  we get  is

= 66x²-304x +94

The solved function for the given equations is 66x2 -304x+94,

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two sides of a triangle have the same length. the third side measures 6 m less than twice the common length. the perimeter of the triangle is 10 m. what are the lengths of the three​ sides?

Answers

As for the answer, the length of the three sides was x=4.

Let [tex]x[/tex] be the length of the two sides that are the same.

Then the third side would be 2x-3

The perimeter of the triangle will come from adding all of the sides together and setting it equal to the value given, 13.

That is,

x + x + (2x-3)=13

4x-3=13

4x=13+3

4x=16

x=4

The length of each of the common sides is 4, making the third side 5, to get a total perimeter of 13.

What are two sides of a triangle?

The hypotenuse of a right-angled triangle is its longest side, the base is its lower side, and the perpendicular, which stands next to the right angle, is its standing line.

You may determine the sides of a right-angled triangle using a number of techniques, such as the Pythagoras theorem or the triangle's perimeter.

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Solve the following integers

Answers

Step-by-step explanation:

here is the answer of each question respectively

(-5) + (-4) = -9

(-3) + (+1) = -2

(-2) . (-7) = 14

(+3) . (-1) = -3

(-4) . (-7) = 28

(-18) + (-6) = -24

(+8) .(+3) = 24

(-4) - (-1) = -3

(+6) - (-2) = 8

(-1) . (+5) = -5

(+9) + (-3) = 6

(+6) + (-5) = 1

The african bush elephant weights about 4.4 tons and 7.7 tons what are if least and greatest sight rounded to the nearest ton

Answers

The least ton is 4 ton and the greatest ton is 8 ton.

Given an approximation for the weight of African bush elephant.

If we take x as the weight of an African Bush elephant, then

4.4 < x < 7.7.

We are asked to find the least and greatest weights rounded to the nearest ton.

The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.

Likewise, the greatest weight is 7.7 tons.

But the greatest weight rounded to the nearest ton = 8 tons

We rounded 4.4 to 4 because the decimal digit 4 is less than 5.

Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.

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the volume of the atlantic ocean is about 3.1 \cdot 10^{17}3.1⋅10 17 3, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. the mississippi river has an annual flow of 6.3 \cdot 10^{11}6.3⋅10 11 6, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. how many times would the annual flow of the mississippi river fit in the atlantic ocean?

Answers

4.92*10^5 times the annual flow of the Mississippi River fit in the Atlantic Ocean

Given that,

Volume of the Atlantic Ocean = 3.1*10^17cubicmetres

Annual flow of the Mississippi River = 6.3*10^11cubicmeters

Now, we have to find how many times the annual flow of the Mississippi River fit in the Atlantic Ocean

So,

= Volume of the Atlantic Ocean / Annual flow of the Mississippi River

= 3.1*10^17 / 6.3*10^11

= 0.4921*10^6 (Approximately)

=4.92*10^5

Therefore,

It takes 4.92*10^5 times for the Mississippi River to fit into the Atlantic Ocean.

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I need help and I’m not sure how to solve this. we’re supposed to copy the answers from our workbooks but I haven’t got mine :(

Answers

Step-by-step explanation:

here you go i don't know if this will be helpful or not

Under her cell phone plan, Hawa pays a flat cost of $51.50 per month and $3 per gigabyte. She wants to keep her bill at $64.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Hawa can use while staying within her budget.

Answers

If Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes

Given,

The flat cost = $51.50 per month

The cost per gigabyte = $3

She wants to keep her bill = $64.10

Consider the number of gigabytes used as x

Then the equation is

51.50+3x=64.10

3x=12.6

x=4.2

Hence, if Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes.

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Arianna and her friends are preparing for an epic snowball fight. They make 80
snowballs before Arianna's dad calls them in for lunch. After lunch, they make more
snowballs. In all, Arianna and her friends make 161 snowballs.
Which equation can you use to find the number of snowballs s Arianna and her
friends make after lunch?

Answers

Answer: 161-80=81

(or 161-x=y?)

Step-by-step explanation:

subtract the the amount of snowballs made before Adrianna's dad called them in for lunch from the total number of snowballs (161-80)

161-80=81

find an equation for a line:
a. with slope 6 passing through (-1, 4)
b. that passes through (-5, 0) and (5, 6)​

Answers

Answer:

y=6x-1

y=3/5x+5

Step-by-step explanation:

6-0= 6= 3/5

5+5 =10

10^-2 in expanded form

Answers

10⁻² in expanded form is [tex]\frac{1}{100}[/tex] in fractional form or 0.01 is decimal form.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as standard form in the UK and scientific form, standard index form, and standard form.

The number 10⁻² is written in scientific notation.

Mathematically 10⁻²= [tex]\frac{1}{10^2}[/tex]=1/100 =0.01

Hence the expanded form of 10⁻²  is 0.01 .

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82 78 80 72 85 80 calculate the mean and standard deviation of service speed using the formula for each. Show work.

Answers

The mean is  79.5.

The standard deviation is 3.99

What is the mean and standard deviation?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(82 + 78 +  80 +  72 +  85 +  80) / 6 = 477 / 6 =  79.5

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation:79.50

Determine the difference between each value and the mean and then square the result: (82 - 79.5)² + (78 - 79.5)² + (80- 79.5)² + (72- 79.5) ²+ (85- 79.5)² + (80- 79.5)² = 6.25 + 2.25 + 0.25 + 56.25 + 30.25 + 0.25 = 95.5

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√95.5 / 6 = 3.99

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Find the equation of the line that passes through the points (1,2) and 3, 10).​

Answers

Answer:

y=4x-2

Step-by-step explanation:

m=[tex]\frac{8}{2}[/tex]=4

2=4(1)+b    2=4+b      -2=b

What’s the answer to question B???????

Answers

Answer:

71.

Step-by-step explanation:

The "machine" is subtracting 6 from whatever number she puts in. Ergo, 77 - 6 = 71.

HELP? PLEASE?
solve for v. V + 1/9 = 7
ik its easy but im exhausted n my brain wont work

Answers

Answer:

If I know how to do math rn, your answer would be v= [tex]\frac{69} {9}[/tex]

-----------------------------------

Hope this helps!

Have a great day and God bless! :)

Answer:
Exact Form:

V = 62/9

Decimal Form:

V = 6.88888 (never-ending 8's)

Mixed Number Form:

V = 6  8/9

Hope this helps <33

find the LCM of 34,40,168​

Answers

Hope this helped
ask questions if u have any queries :)

Answer:

14,280...............enjoy

In right triangle $ABC,$ $\angle C = 90^\circ.$ Median $\overline{AM}$ has a length of $19,$ and median $\overline{BN}$ has a length of $18.$ What is the length of the hypotenuse of the triangle?

Answers

The length of the hypotenuse of the triangle is; AB = 2√106 ≈ 20.591

How to use the Pythagorean theorem?

The Pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the legs. Thus;

For median AM, we have;

AM² = CM² +AC² = (BC/2)² +AC²

For median BN, we have;

BN² = CN² +BC² = (AC/2)² +BC²

The sum of these two equations gives us;

AM² +BN² = BC²/4 +AC² +AC²/4 +BC² = (5/4)(AC² +BC²)

AM² +BN² = (5/4)(AB²)

Thus, we conclude that the length of the hypotenuse of triangle ABC is;

AB = √(4/5(AM² +BN²))

AB = 2√((19² +13²)/5)

AB = 2√106 ≈ 20.591

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can you guys solve it please i will give bonus if so

Answers

4, 6, 8

x + (x + 2) + (x + 4) = 18
3x + 6 = 18
3x = 12
x = 4

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

Let 'x' be the first side of the triangle. Then the second and third sides of the triangle will be (x + 2) and (2 + x + 2). Then the equation is given as,

x + (x + 2) + (x + 2 + 2) = 18

3x + 6 = 18

3x = 12

x = 4

Then the dimension of the triangle will be given as,

x = 4

x + 2 = 4 + 2 = 6

x + 2 + 2 = 4 + 6 = 10

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

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3-2y=9 so (3-2y)2
Please tell me what it equals

Answers

Answer:

81

Step-by-step explanation:

A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you go?

Answers

Answer is 6.00+0.20-9.40

3.2

or

6.00-0.20-9.40

3.2

Answer:3.2

Step-by-step explanation:

Why is the base of the triangle the same as the circumference
of the circle?

Answers

Answer: Because They are literally the same!

Step-by-step explanation:

So listen, The base of a cone is

1. Flat

2. Circle

3. no sides

And a circle has these characteristics too!

So here is your answer Brainliest and thanks  + 5 STAR ⭐

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

Step-by-step explanation:

"rise" is 10 units

"run" is 6 units

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

m = [tex]\frac{5}{3}[/tex]

a high school graduating class is made up of 410 students. there are 66 more girls than boys. how many boys are in the class?

Answers

Total number of boys in class are 172

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

We have total  number of students in class = 410

We assume that the number of boys in class = X

Number of girls in class is  66 more then boys we assume total number of girls = X+66

If we add number of girls and boys then we found total strength of classX+X+66=4102X+66=4102x=344X=172

Number of boys = 172

Number of girls =238

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i need help with this please

Answers

Answer:

x = 67.5

Step-by-step explanation:

90 + x + 3x = 360            

90 + 4x = 360

4x = 360 - 90

4x = 270

x = 270 / 4

x = 67.5

Hope it helps!!!

HELP.................................! !

Answers

Answer:

0.063

Step-by-step explanation:

Answer:

Your answer would be 0.063.

Step-by-step explanation:

0.504 divided by 8 = 0.063

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God bless! :)

5. The distance between two lighthouses is 137 miles. There are approximately 8 kilometers
in 5 miles. Which measurement is closest to the number of kilometers between these
two lighthouses?

Answers

Measurement is closest to the number of kilometers between these

two lighthouses is 219.2 kilometers.

Assume the distance between two lighthouses is x kilometers in 137 miles.

It knows there are approximately 8 kilometer in 5 miles.

Since the number of kilometers per mile is same

So    x:137=8:5

x/137=8/5

5x=1096

5x/5=1096/5

x=219.2

1 kilometer is equal to 0.621371 miles (often shortened to . 62). 1 mile is equal to 1.609344 kilometers. Thus, to convert kilometers to miles, simply multiply the number of kilometers by 0.62137.

The number of kilometers between these two lighthouses is 219.2.

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what is the value of (x+y)^2 when x=2 and y= -4?

Answers

Answer: 20

Step-by-step explanation:

Everything within the parenthesis gets an exponent of two, so you should have (x^2+y^2).

After this, you plug in the 'x' and 'y' given, so the next part should look like (2^2+(-4)^2)

After step 2, do 2*2 and -4*-4 (exponents ask you to multiply numbers by a specific amount. In this case, both numbers are multiplied by themselves 2 times).

A negative times a negative is a positive, so -4^2 or -4*-4 is 16. 2^2 or 2*2 is simply 4.

Add 4 and 16 together to get your final answer of 20.

Hope this helps!

A television cost $1,275. It is marked down 35%. What is the new cost of the television? Please answer this!!!

Answers

Answer:

$446.25

Step-by-step explanation:

1275 x 35% = 446.25

So, the television would be $446.25

------------------------------------

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The graph of f(x) is increasing on
(-∞, 0) and decreasing on (0, +∞).
Which statement must be true?
A f(x) has a maximum at x = 0.
B f(x) has a minimum at x = 0.
The domain of f(x) is (0, +∞).
D The range of f(x) is (0, +∞).

Answers

Answer: c

Step-by-step explanation:

Malcolm answered 12 questions correctly on his social studies assignment and scored 75%. how many questions were on the assignment

Answers

If Malcolm answered 12 questions correctly on his social studies assignment and scored 75%, then the total number of questions on the assignment were 16.

The number of questions on the assignment can be determined by converting the given percentage.

A percentage is a numeral expressed as a fraction of 100

75% = 75 / 100 = 0.75

The equation can be formed as,

75 % of x = 12

Here x is equal to the total number of questions on the assignment

As 75% = 75 / 100 = 0.75

0.75 x = 12

x = 12 ÷ 0.75

x = 16

As x represented the total number of questions, hence the total number of questions on the assignment were calculated to be 16.

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*the puzzle* n 48 abcd w 117 efgh a) professor x traveled 1500 miles to see jean grey. he read one book every 450 miles he traveled. how many books had he finished by the time he arrived? b) storm had $74 and withdrew some more money from her bank account. she bought a pair of slacks at $34, two shirts at $16 each and a pair of shoes at $24. after shopping, storm had $15 left. how much money did she withdraw from the bank? c) there are 12 pacific northwest geocachers in wolverine's living room. six of them are wearing socks, four of them are wearing shoes, while four people are wearing both socks and shoes. how many geocachers have nothing on their feet for their upcoming geo-excursion together? d) cyclops will buy a new pair of shoes in 1200 seconds. how many minutes must he wait before he can buy them? (second digit in the answer!) e) quicksilver collected 700 nickels in a jar. he went to the bank to cash them in. how much money did the bank give him? f) for breakfast, mystique bought a bagel for $1.55 and a glass of orange juice for $2.25. at lunch, mystique spent $6.25 on a sandwich and $0.55 on a carton of milk. how much more money did she spend on lunch than on breakfast? g) mirage had three pizzas. each pizza had eight slices. if mirage at 75% of the pizza slices, how many were left? h) iceman has a highlighter obsession. in his desk drawer, there are 19 yellow highlighters. there are 15 more blue highlighters than yellow, and there are 37 green highlighters total. how many more green highlighters than blue does he have?

Answers

He finished the number of books by the time he arrived = 3.3 books, b) she withdrew $15 from her bank account. c) 6 people have nothing on their feet.d) He must wait before he can buy the pair of shoes = 20 minutes. e) After dividing the bank gives him 700 nickels = $35. f) She spent more money on lunch than breakfast  = $3. g) After eating the mirage slices left = 6 slices. h) He has more green highlighter than blue  = 3

a) professor finished  3 books by the time he arrived.

   Professor x traveled to see jean grey = 1500 miles

   He read one book he traveled = 450 miles

    So,

   He finished books by the time he arrived by dividing both the numbers = 1500/450

      He finished total books by the time he arrived = 3.3 books

     

b) Storm had money = $74

She bought a pair of slacks = $34

She bought two shirts = $16

She bought a pair of shoes = $24

After shopping she left with = $15

Storm expenses on the items = $34 + $16 + $24

                                              = $74

So, after shopping she left with $15 so it is clear that she withdrew $15 from her bank account.

c) Pacific northwest geocachers in wolverine’s living room = 12

Wearing shoes = 4

Wearing socks = 6

Wearing both socks and shoes = 4

As we know 4people wearing both socks and shoes

So, 2 people are wearing only sock

And no people wearing only shoes = 4-4=0

So, in total 4+2+0= 6

Now, 12 people are there

So, 12-6=6

So, 6 people have nothing on their feet.

d) Cyclops waited 20 minutes

Cyclops will buy a new pair of shoes = 1200 seconds

Here, 60 minutes = 3600 seconds

Now, divide 1200 seconds by a minute (1 minute = 60 sec)

 He must wait before he can buy the pair of shoes = 1200/60

  He must wait before he can buy the pair of shoes = 20 minutes

e) Quicksilver collected nickels in a jar  = 700

First, we have to calculate  how many cents are there in 700 nickels by multiplying 700 * 5, and then dividing that result by 100 cents

=700 nickels x 5 cents

= 3,500 cents   ( 100 cents = $1)

= 3,500 cents / 100 cents

The bank gives him 700 nickels = $35

f) For breakfast, Mystique bought a bagel = $1.55

A glass of orange juice = $2.25

At lunch,

On sandwich, she spent = $6.25

On a carton of milk, she spent = $0.55

Total spent on breakfast = $1.55+$2.25

                                       = $3.80

Total spent on lunch = $6.25+$0.55

                                = $6.80

She spent more money on lunch than breakfast =  $6.80-$3.80

She spent more money on lunch than breakfast  = $3

g) Mirage had 3 pizzas

Each pizza had = 8 slices

So, After multiplying total number of slice we have of the pizza = 3*8

                                                                          = 24 slices

He ate 75% of the pizza slices                         = 75/100 * 24

                                                                          = ¾ * 24

After multiplying,  he ate pizza slice                =   3 * 6

                                                = 18 slices

So, after eating by the mirage slices left = 24-18

                                                               = 6 slices

h) He has 3 more green highlighters than blue highlighters.

 In the iceman desk drawer, the number of  yellow highlighters are = 19

 As given, there are 15 more blue highlighters than yellow in his desk drawer

 Then,

 the number of blue highlighters  = 19+15

                                                           = 34

There are total numbers of green highlighters = 37

He has more green highlighters than blue highlighters = 37-34

                                                                                      = 3

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Learning Task No. 2: Study the diagram above. Answer the guide questions.Guide Questions:1. What do you call the force acting on the ball along the horizontal line oralong the force that makes the ball in motion?2. What makes the ball stop on rolling after sometime?3. What makes the ball keep on rolling? These passagesfrom Beowulf and Grendel describefeasts in Hrothgar's hall. Write three to four sentencescomparing and contrasting how the people arecharacterized in each passage. Use details from thetext to support your answer. a global strategy assumes that the strategic business units operating in each country are interdependent and the home office attempts to achieve integration across these businesses. Marlene earned $178 at her summer job. She already had savings of $98.25. She buys a T-shirt for $19.50. How much money does she have left. Jaquan passed a checkpoint jogging at a constant speed of 9 km/h. Then, 2 minutes later Odalis passed the same checkpoint.If Odalis runs at a constant speed of 12 km/h, then how far past the checkpoint will Odalis be when they catch up to Jaquan? what parts of a civilization developed as people in the fertile crescent began to grow more crops and raise more animals than they needed for themselves jonathon wanted to know how far people could swim in 30 minutes. he collected data from 10 people about how many miles they could swim in 30 minutes and obtained the following results: 0.25 0.80 0.75 0.93 0.24 0.50 0.75 0.98 0.35 0.85 what is the range of the data jonathon collected? the main way the national government gets states and local governments to pursue its national goals is through Find the interest on the following loan.$1050 at 5.5% for 9 months rebecca received the following e-mail from her boss: i need all employees to work late on saturday. no exceptions! what is the most likely reason why this communication is not effective? rebecca may not want to work on saturday. the e-mail does not explain the reasons why the employees must work late. the use of capital letters may make rebecca feel like her boss is yelling at her. rebecca may not check her e-mail until after saturday Help if u can you will get brainlest 11 and 12 same answers for the questions an upward force of 170 N IS APPLIED TO A BOX WEIGHING 50 N DRAW A FREEBODY FORCE DIAGRAM FOR THIS SITUATION A kindergarten teacher is having students listen to three spoken words and identify the two words that end with the same sound. The teacher is focusing on which language system? What is the most prominent figurative language element in this excerpt from the poem The First Snowfall by James Russell Lowell?Every pine and fir and hemlockWore ermine too dear for an earl, And the poorest twig on the elm-treeWas ridged inch deep with pearl. determine which action was supported by both eisenhower's new look foreign policy and kennedy's flexible response foreign policy. african societies have rich artistic culture. in addition to music, dance, sculpture, weaving, and literature, many african societies have talented, professional storytellers. these oral historians called serve religious, familial, and societal roles. a. bantus c. nzingas b. griots d. benues please select the best answer from the choices provided a b c d becky and alex need to decide which one of them will take time off from work to complete the rather urgent task of shearing their llamas. becky is pretty good with a pair of shears; she can shear the llamas in 30 minutes. alex is somewhat slow; it takes him 5 hours to shear the llamas. becky earns $160 per hour as a lawyer, while alex earns $20 per hour as a barber. keeping in mind that either becky or alex must take time off from work to shear the llamas, who has the lowest opportunity cost of completing the task? Summary of the climate in Houston, Texas a chemist measured the amount of rubidium chloride produced during an experiment. she finds that of rubidium chloride is produced. calculate the number of moles of rubidium chloride produced. Evaluate 15 6(7 + 5) 32.