PROBLEM SOLVING Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft.The function y=a(0.5)t/x​ represents the amount y​ of a substance remaining after t​ years, where a​ is the initial amount and x​ is the length of the half-life (in years).

Plutonium- 238, Half-life is approximately 88 years.

a. A scientist is studying a 3-gram sample. Write a function that represents the amount y​ of plutonium-238 remaining after t​ years.

Question 2
b. Use the function to estimate the amount of plutonium-238 remaining after 8 years.

Question 3
c. Use the graph of the function to estimate the amount remaining after 12 years.
About grams

Answers

Answer 1

The equation is [tex]\rm y = 3 \times \left (0.5 \right)^{t/88}[/tex]. Then the amount remaining after 8 years and 12 years will be 2.8168 grams and 2.729 grams, respectively.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the factor.

The exponent is given as

y = a(b)ˣ

The function is given below.

[tex]\rm y = a \left (0.5 \right)^{t/88}[/tex]

A scientist is studying a 3-gram sample. Then the function is written as,

[tex]\rm y = 3 \times \left (0.5 \right)^{t/88}[/tex]

The amount of plutonium-238 remaining after 8 years will be given as,

[tex]\rm y = 3 \times \left (0.5 \right)^{8/88}[/tex]

y = 3 × 0.9389

y = 2.8168 grams

From the graph, the amount remaining after 12 years will be 2.729 grams.

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PROBLEM SOLVING Plutonium-238 Is A Material That Generates Steady Heat Due To Decay And Is Used In Power

Related Questions

How do you find the median of a cumulative frequency graph class 10?.

Answers

To find the median of a cumulative frequency graph the median can be determined from cumulative frequency curves by drawing horizontal lines to half of the total frequency.

When a set of numbers is arranged in ascending order of magnitude, the middle number is known as the median. A collection of n numbers has a median value of (n+1)/2. N is the cumulative frequency in the case of a cumulative frequency curve.

The median can be determined from cumulative frequency curves by drawing horizontal lines to half of the total frequency.

Create the cumulative frequency curve using the numbers provided first. Mark the point with the highest cumulative frequency, then draw a line perpendicular to the Y-axis that precisely passes through it. The lowest cumulative frequency is then marked, and a line is drawn parallel to the X axis. Mark the place where these two lines intersect.

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lution set.
-y-8<-3 ory+5>19

Answers

The solution set of the expression is y > -5

How to determine the solution set of the expression?

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

-y-8<-3 ory+5>19

Express the inequality properly

So, we have the following expression

-y - 8 < -3 or y + 5 > 19

Collect the like terms

This gives

-y < 8 - 3 or y > 19 - 5

Evaluate the like terms

This gives

-y < 5 or y > 14

Rewrite as

y > -5 or y > 14

When combined, we have:

y > -5

Hence, the solution set is y > -5

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Complete question

For the following inequality expression, determine the solution set

-y-8<-3 ory+5>19

Help me find x please!

Answers

Answer:

PSQ = x         since PSQ + 3 x = 4 x

So the triangle PQS is an equilateral triangle

2 x + y = 180       (y = PQS the angle opposite 68)

y + 68 = 180       these must add to 180

x = 34        subtracting the previous two equations

15/20, 20/21 determine if the ratio are proportional

Answers

According to definition of proportional ratios, 15 / 20 is not a multiple of 20 / 21.

How to determine whether that two ratios are proportional

In this problem we find two ratios in fraction form, both are proportional if the numerator and denominator of one of them are multiple of the corresponding elements of the other. First, write the fraction with the lowest numerator:

15 / 20

Second, multiply numerator and denominator by 4 / 3:

[15 · (4 / 3)] / [20 · (4 / 3)]

20 / 26.667

Ratio 15 / 20 is not proportional to ratio 20 / 21.

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How many times more intense is an earthquake that measures 8 on the Richter scale than an earthquake that measures 4 on the Richter scale?.

Answers

A measures magnitude 8 on the Richter scale of an earthquake is 10,000 times stronger than a magnitude 4 measure on the Richter scale.

Earthquake Intensity: An earthquake is the release of energy from the movement of tectonic plates. Earthquakes can be measured on the Richter scale, which ranges from 2 to 10 and measures the magnitude of an earthquake.

Earthquake intensity is a qualitative estimate of the effects caused by an earthquake, so it has no numerical value. The Richter scale is a logarithmic scale. This means that as you move up each digit, the power increases by a factor of 10. So let's set the damage from 4 earthquakes to X. Then, 5 = 10X

=> 6 = 100X

=> 7 = 1,000X

=> 8 = 10,000X

Hence, the required intensity is 10,000.

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What is the argument of 4 3i?.

Answers

The Argument of 4 + 3i is arg(z) = 36.97◦.

Now, According to the question:

Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

The standard format of a complex number is:

[tex]a +bi[/tex]

In which:

a is the real part.b is the imaginary part.

Given,

The complex number is:

z = 4 + 3i

We have to find the argument of the 4 + 3i.

The argument is given by:

θ = [tex]tan^-^1\frac{b}{a}[/tex]

tan θ = [tex]\frac{3}{4}[/tex]

θ = [tex]tan^-^1\frac{3}{4}[/tex]

θ = 36.97◦

The argument is θ = 36.97◦

We also have an abbreviation for argument: we write arg(z) = 36.97◦

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How do you multiply 3-digit numbers by 2 digit numbers with regrouping?.

Answers

Multiply the number in the one's place, Multiply the number in the ten's place and multiply the one's and ten's place with the hundred place number, then add them up.

Follow along with example 343 × 32:

Place one number above the other so that the ones' place digits and tens' place digits are lined up. Mark a line just below the bottom number.

 3 4 3

 ×3 2

_______

Multiply the ones' place digits (2 × 3 = 6), one's place of the second number by the ten's place of the first number (2 × 4 = 8), and one's place of the second number by the hundred place of the first number (2 × 3 = 6). Place the 6 below the line in the ones' place column, 8 below the line in the tens' place column and 6 below the line in the hundred place column.

3 4 3

×3 2

_________

6 8 6

Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9; multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12, and multiply the digit in the tens' place column (3) by the digit in the hundred place of the first number (3). The outcome is 3 × 3 = 9. Now add the numbers and place the answer below the line.

3 4 3

×3 2

__________

   6 8 6

10 2 9×

__________

10 976

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When Gabriella moved into a new house, she planted two trees in her backyard. At
the time of planting, Tree A was 34 inches tall and Tree B was 14 inches tall. Each
year thereafter, Tree A grew by 2 inches per year and
Tree B grew by 6 inches per
Let A represent the height of Tree A t years after being planted and let B
present the height of Tree B t years after being planted. Write an equation for each
situation, in terms of t, and determine the height of both trees at the time when they
have an equal height.
PLEASE ANSWER ITS DUE TODAY!!!!!!

Answers

The equation for Tree A's height t years after being planted is:

[tex]A = 34 + 2t[/tex]

The equation for Tree B's height t years after being planted is:

[tex]B = 14 + 6t[/tex]

To determine the height of both trees at the time when they have an equal height, we can set the two equations equal to each other:

[tex]A = B[/tex]

[tex]34 + 2t = 14 + 6t[/tex]

And solving for t, we find that:

[tex]t = 10[/tex]

So, 10 years after being planted,

Tree A will be 54 inches tall  [tex](34 + 2 * 10)[/tex]  and Tree B will be 74 inches tall [tex](14 + 6 * 10)[/tex].

At this point, both trees will have an equal height.

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I really need help on this!

Answers

Nata was using the partial products method to solve the multiplication problem 42 × 15. She likely wrote 20 because she was finding the product of 42 and 10, which is 420. Writing 20 was likely a shorthand for the digit 2 in 420.

What is the product about?

In the partial product method, each digit of one number is multiplied by each digit of another number, keeping each digit in its original place. Place value is typically used to calculate the partial product. To get the product of two-digit numbers, we employ the partial product method.

The partial products method involves breaking down one factor into its place value components and multiplying each component separately, then adding the products together to get the final answer.

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Solve the equation 6z2-7z-5=0

Answers

Answer:

-1/2, 5/3

Step-by-Step Explanation:

6z^2 - 7z - 5 = 0

=> 6z^2 - 10z + 3z - 5 = 0

=> 2z(3z - 5) + 1(3z - 5) = 0

=> (2z + 1)(3z - 5) = 0

=> z = -1/2, 5/3

Hope it helps.

If you have any query, feel free to ask.

For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box

Answers

Translation, rotation, and reflection are three of the fundamental transformations.

What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.

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do you have 8 cups of flour a recipe calls for 2/3 cup of flour of the recipe calls are 1/4 cup of flour how much flour do you have left after making the recipes

Answers

Answer: Total cup of flour=8 cups

One recipe calls for cup of flour=2/3

Cup of flour after making one recipe=8-2/3=(24-2)/3=22/3=7.33 cup of flour

Another recipe calls fro cup of flour=1/4

Cup of flour left after another recipe=22/3-1/4=(88-3)/12=85/12=7.08 cup of flour.

Amount of Floor left=7.08

Step-by-step explanation:

Which graph shows the solution to this inequality? 15≤−3x+6

Answers

Answer: Look below

Step-by-step explanation:

What is the value of a in the following image?

Answers

Check the picture below.

Compute Autin' total ocial ecurity and Medicare taxe for the fourth quarter, if he i elf-employed and earn $5,000. 00 on a emimonthly bai. (For elf-employed peron, ocial ecurity tax i 12. 4% of wage up to $128,400, and Medicare tax i 2. 9% of all wage. )

Answers

The total Social Security and Medicare taxes for the fourth quarter would be $728.00 ($600.00 for Social Security and $128.00 for Medicare). This is calculated by multiplying $5,000.00 by 12.4% for Social Security and 2.9% for Medicare.

The total Social Security and Medicare taxes for the fourth quarter would be $728.00. This is calculated by multiplying the total wages for the quarter ($5,000.00) by 12.4%, the Social Security tax rate for self-employed individuals, and then multiplying the same wages by 2.9%, the Medicare tax rate for self-employed individuals. This gives us $600.00 for Social Security taxes and $128.00 for Medicare taxes, for a total of $728.00. The Social Security tax rate is applied up to the wage base of $128,400 for the year.

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1.
(04.02 LC)
Which of the following is a common characteristic of a binomial distribution? (4 points)

There are more than two possible outcomes.
The probability of success is the same in all trials.
There are infinitely many observations.
You should perform x trials until you observe a success.
Each trial is dependent on the previous trial.

Answer: The probability of success is the same in all trials.

Answers

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

What is the independent probability?

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Per company charge $20 per day to rent a car and $. 10 for every mile driven. Addion want to rent a car knowing that he plan to drive 100 mile and he ha at mot $80 to pend right and olve an inequality which can be ued to determine X the number of day Addion can afford to rent or tay within her budget

Answers

Considering the definition of inequality, the inequality that can be used to determine x is 20x + 10 ≤ 80.

According to the question,

Addison wants to rent a car, we know that:

She plans to drive 100 miles.She has at most $80 to spend.

On the other hand, x denotes the maximum number of days. Alyssa can afford to rent while staying within her budget.

Then, the inequality that can be used to solve x is:

20x + 0.1×100≤ 80

so,

20x + 10≤ 80

Hence, the inequality which can be used to determine x is 20x + 10≤ 80.

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PLEASE HELP ME I NEED TO TURN THIS IN BY TMMR!!

Answers

Answer:

[tex]\frac{4}{3}cm/s[/tex]

Step-by-step explanation:

By looking at the graph, we can use the slope formula.

[tex]slope=\frac{y^2-y^1}{x^2-x^1}[/tex]

We can substitute the point values into the equation.

[tex]\frac{16-0}{12-0}[/tex]

Then simplify.

[tex]\frac{16}{12}[/tex]

This fraction has the greatest common denominator of 4, so we will divide the numerator and the denominator.

[tex]\frac{16}{12}=\frac{4}{3}[/tex]

Therefore, the speed of the snail has a unit rate of [tex]\frac{4}{3} cm/s[/tex].

The Hall family and the Cox family each used their sprinklers last summer.

The water output rate for the Hall family's sprinkler was 25 L per hour.

The water output rate for the Cox family's sprinkler was 20 L per hour.

The families used their sprinklers for a combined total of 40 hours, resulting in a total water output of 875 L.

How long was each sprinkler used?

Answers

The Hall family utilizes sprinklers for 15 hours compared to the 35 hours used by the Nguyen family.

How long was each sprinkler used?

The Hall family utilizes sprinklers for 15 hours compared to the 35 hours used by the Nguyen family.

Let h and n represent the amount of hours each household uses its sprinkler, the Halls and the Nguyens, respectively.

They use for a total of 50 hours, thus either h + n = 50 or h = 50 - n.

Additionally, their total water output is 1050 L, thus we may use the equation below.

35h + 15n = 1050

Replace h with h = 50 - n to get

35(50 - n) + 15n = 1050

1750 - 35n + 15n = 1050

35n - 15n = 1750 - 1050

20n = 700

34 hours, n

15 hours equal 50 h, 50 n, and 35 n.

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For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that used to find a solution for the equation. Be sure to include at least two terms from the word bank. 1/4 x < -3

Answers

The inequality equation is x ≤ ( -12 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 1/4 )x  ≤  -3   be equation (1)

On simplifying the equation , we get

x/4 ≤ -3

Multiply by 4 on both sides of the equation , we get

x ≤ ( -3 ) ( 4 )

x ≤ -12

Therefore , the value of x is less than or equal to -12

Hence , the inequality equation is x ≤ -12

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How many perfect squares from 1 to 100?.

Answers

There are eight perfect squares from 1 to 100 (i.e., except 1 and 100). They are represented as 4, 9, 16, 25, 36, 49, 64 and 81.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, we can say that a perfect square is a number that can be expressed as the product of an integer by itself or as the second power of an integer. Perfect Square Formula : Let us consider if N is a perfect square of a whole number x, then N can be represent as the product of x and x = x². So, the perfect square formula formula is , N = x². For example, If x = 3, and N = x². This means, N = 3× 3 = 3² = 9 . Here, 9 is a perfect square because it is equal to the square of a whole number, 3. We have to determine the number of perfect squares from 1 to 100.

1² = 1 ; 2² = 4 ; 3² = 9 ; 4² = 16 ; 5² = 25 ; 6² = 36 ; 7² = 49 ; 8² = 64 ; 9² = 81 ; 10² = 100

As we get, there are 10 perfect squares from 1 to 100. But, in actual manner they are only 8 perfect squares from 1 to 100 after excluding 1 and 100.

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Match a system of equations to each description.
System with one solution: (-1, 3)
System with no solutions
System with infinite number of solutions
2x + 2y = -8 and 3x + 3y = - 12
- 3x + 3y = 12 and 5x + 5y = 10
y +4 =-x and y = -x + 2

Answers

Answer:

Image result for System with one solution 1 3 System with no solutions System with infinite number of solutions 2x 2y 8 and 3x 3y 12 3x 3y 12 and 5x 5y 10 y 4 x and y x 2

You can tell that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.

Step-by-step explanation:

Answer:

1) 2x + 2y = -8 and 3x + 3y = - 12: Infinite: the lines are the same.

2) - 3x + 3y = 12 and 5x + 5y = 10: One solution (-3.10)

3) y +4 =-x and y = -x + 2: No solutions. Parallel

Step-by-step explanation:

See the attached worksheet. All three explanations are used to identify the three systems of equations. Some of the equations are equal to each other, apparent only when one rearranges the equations.

1/3x + 2y + 5/3x - 4y pls I have a 0 in math I need help with this

Answers

Answer:

2x-2y

Step-by-step explanation:

1/3x + 2y + 5/3x - 4y

= 1/3x + 5/3x - 4y  + 2y

=6/3 x -2y

=2x-2y

Did Jas graph and find the solution correctly? If not, what was her mistake?

Answers

She did not find the correct solution. She graphed the bottom equation of the System incorrectly.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

According to the Problem

y = 3x - 3.....(1)

2x + 2y = 8........(2)

Substitute the value of y from equation 1 to equation 2

2x + 2(3x -3 ) = 8

2x + 6x -6 = 8

8x = 14

x = 1.75

Tus,

y = 3 * 1.75 - 3

y = 2.25

Therefore, she did not find the correct solution to the system of equations.

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Tristan has a points card for a movie theater.
He receives 25 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs at least 110 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Tristan can make to earn his first free movie ticket.

Answers

The inequality that represents the number of visits Tristan can make to earn his first free movie ticket is 8.5x + 25 ≥ 110.

What is the inequality?

In mathematics, an inequality is a relationship between two expressions or values that are not equal to each other.

In mathematics, there are five inequality symbols: greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Here,

Let us refer to x as the number of visits.

He receives 8.5 points for each visit,

That is he receives 8.5x points for x visits. i

Then there are the 25 reward points for simply signing up.

So the total points expression would be 8.5x + 25.

He needs at least 110 points to get a freebie,

Therefore the inequality is 8.5x + 25 ≥ 110.

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An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 ∘ . How far up the side of the building does the board reach?

Answers

The height of the board up the side of the building is 7.5 feet.

How to find the side of a right triangle?

An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 degrees.

The height of the board to the side of the building can be calculated as follows:

Therefore, the situation forms a right-angle triangle.

Using trigonometric ratios,

sin 70° = opposite / hypotenuse

sin 70° = x / 8

cross multiply

x = 8 sin 70°

x = 8 × 0.93969262078

x = 7.51754096629

Therefore,

distance of the board up the building  = 7.5 feet

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The city of Los Angeles wants to build a suspension bridge over Lake Casitas. The suspension
cables that are connected between the towers must have a parabolic curve. Let the y-axis
represent the axis of symmetry. The road/deck represents the directrix and sits 15 meters
above the water surface (which represents the x-axis). The vertex or minimum point of the
cable is 12 meters above the directrix. Write an equation to represent the parabolic shape of the
cables on the suspension bridge.
anchor
tower
cable
deck
foundations
hanger
approaches

Answers

A suspension bridge: a parabola represents the profile of the cable of a suspended-deck suspension bridge.

What is graph ?

A graph is a topic which gives us the numerical facts into visual form.

That is, a graph gives the visual representation of the data collected.

The towers supporting the cable of suspension bridge are 15m apart and 12m above the bridge it supports.

Suppose the cable hangs,following the shape of parabola,with its lowest point 20m above the bridge.

lets have the bridged centered at the origin

Three points are needed on the parabola

x = 0, y = 20

x = -7.5, y = 12

x = +7.5, y = 12

using the form ax^2 + bx + c = y, we know that c=20

x=-7.5, y = 12 and x =+7.5, y = 12; write two equations

-7.5^2a - 7.5b + 20 = 12

+7.5^2a + 7.5 + 20 = 12

use elimination

56.25a - 7.5b + 20 = 12

56.25a + 7.5b + 20 = 12

addition eliminates b

112.5a + 40 = 24

112.5=16

a = 16/112.5

a = 0.1422

Now we can write the equation

y = 0.1422x^2 + 2

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Is 6(4b + 3d) and 24b + 3d equivalent or not

Answers

Answer:

No

Step-by-step explanation:

You must distribute 6 to BOTH numbers in the bracket

[tex]6(4b + 3d) = 24b + 18d[/tex]

Answer:

No, they are not equivalent !

Step-by-step explanation:

Simplify 6(4b + 3d)....

6(4b + 3d)

→ 6*4b+6*3d

→ 24b+18d

and we have....

→ 24b + 3d

So, no 6(4b + 3d) and 24b + 3d are not equivalent.

A village parking lot is 120 feet wide by 180 feet long, and it has room for 75 cars. The village plans to increase the length by 30%.

Answers

Answer:

A) 234 feet

B) Area of new parking lot = 28080 square feet

C) The new parking lot will be able to fit 20 more cars than the original parking lot.

Step-by-step explanation:

We are given the following information:

Length of parking lot = 180 feet

Width of parking lot = 120 feet

Number of cars that can be parked = 75

A) Increase in length  = 30%

New length =

B) New area =

C) Space required by 1 car = 288 square feet

Number of cars we want to fit = 75 + 20 = 95

Area required =

Hence, the new parking lot will be able to fit 20 more cars than the original parking lot.

You have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2. Which of these statements is true?.

Answers

About 285 numbers lie between the values 10 and 14. (option C).

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or a Gaussian distribution. In statistics and the natural and social sciences, normal distributions are crucial concepts.

There are 600 numbers and their mean is 10 where the standard deviation is 2.

47.5% of the numbers should fall between 10 and 14, as expected. In a normal distribution, 47.5% of the sample size will fall between the mean and two standard deviations on either side of it.

By doing calculation on option C, we got that = [tex]\frac{285}{600}*100=47.5[/tex]

Hence, option C is correct, i.e., about 285 numbers would lie between the values 10 and 14.

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apple, inc., incurs many types of costs in its operations. required: for each cost in the following table, identify the stage in the value chain where this cost is incurred: 10. Given thatDAB andDCB are right angles and mABD = 42, what is the measure of ACB? (show work) as a property manager for several residential landlords, tomas must provide critical reports to each of the property owners for whom he works. which of the following information points needs to be updated and issued monthly? Income and expenses for each property Now think about the contrating point of view that were expreed in the two excerpt you've read. Ue the annotation you've made in each excerpt to help you complete the table. In the table, finih each tatement from the perpective of a hardliner and the perpective of a diplomacy advocate The cold war Part B which two details from the text best support the answer to part a Is rectangle DABC the result of a dilation of rectangle HEFG with a center of dilation at the origin? Why or why not? Can someone please help quick How does edge computing reduce latency for end?. You invest $1,000 into your retirement account. Your money earns 12% per year (in other words, your money grows 12% per year). What exponential function below represents this situation? What is the common factor of each term in the expression 2b 1 5b? in exercises 7\[dash]10, the augmented matrix of a linear system has been reduced by row operations to the form shown. in each case, continue the appropriate row operations and describe the solution set of the original system. Tell whether the ordered pairs are a solution of the system of linear inequalitiesPair 1: (-3, -1)Pair 2: (1, 0.5) 14. Contrast how Beryllium and Fluorine will each follow the "octet rule." Be sure to explain how their charges areaffected by this change: Edit the formula in cell D2 so the references to cell C2 will update when the formula is copied, and the reference to cell B9 will remain constant. Use AutoFill to copy the formula to cells $14,000 is invested for 2 months at an annual simple interest rate of 13%.a) You will earn $ in interest (round to the nearest cent).b) The future value is (round to the nearest cent). promising people monetray rewards for doing what htey already enjoy doing is most likely to undermine ____ Can you solve this for me? Thank you! :> Which of these operations and supply chain management career paths works closely with manufacturing, marketing, and purchasing to create timely, cost-effective import/export supply chains? a) analyst b) logistics & material planner c) sourcing mgr d) intl logistics mgr when sizing a feeder for the appliance loads in dwelling units, a demand factor of 75 percent of nameplate ratings for or more appliances fastened in place on the same feeder can be made. which of the following values most likely belongs in the lower 95% cell for the independent variable in the output table?