Simplify.
3y - 4x + 6x - y
The simplified expression is???

Answers

Answer 1

Answer:

2y-4x+6x

=2y+2x

Step-by-step explanation:

Answer 2

Answer:

2x+2y

Step-by-step explanation:

Let's simplify step-by-step.

3y−4x+6x−y

=3y+−4x+6x+−y

Combine Like Terms:

=3y+−4x+6x+−y

=(−4x+6x)+(3y+−y)

=2x+2y


Related Questions

Help ASAP please I would love to recieve it right away

Help ASAP please I would love to recieve it right away

Answers

Answer:

Step-by-step explanation:

LJ/32=13/7 multiplying each side by 32

LJ=32(13)/7

LJ=416/7

LJ=59.4

Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds (Morningstar Funds500, 2008).\begin{matrix} \text{Type of Fund} & \text{Number of Funds} & \text{Total Return (\\\%)}\\ \text{Domestic Equity} & \text{9191} & \text{4.65}\\ \text{International Equity} & \text{2621} & \text{18.15}\\ \text{Specialty Stock} & \text{1419} & \text{11.36}\\ \text{Hybrid} & \text{2900} & \text{6.75}\\ \end{matrix}Type of FundDomestic EquityInternational EquitySpecialty StockHybrid​Number of Funds9191262114192900​Total Return (%)4.6518.1511.366.75​a. Using the number of funds as weights, compute the weighted average total return for the mutual funds covered by Morningstar.b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return for Morningstar in part (a)? Discuss. What else might be used for weights?c. Suppose you had invested $10,000 in mutual funds at the beginning of 2007 and diversified the investment by placing$2000 in Domestic Equity funds, $4000 in International Equity funds,$3000 in Specialty Stock funds, and $1000 in Hybrid funds. What is the expected return on the portfolio?

Answers

The weighted average total return for the mutual funds covered by Morningstar is 9.20%, calculated by taking the sum of the products of the total return and the number of funds for each of the four categories.

a. The weighted average total return for the mutual funds covered by Morningstar is 9.20%.

This is calculated by taking the sum of the products of the total return and the number of funds for each of the four categories:

(4.65 * 9191) + (18.15 * 2621) + (11.36 * 1419) + (6.75 * 2900) / (9191 + 2621 + 1419 + 2900) = 9.20%

b. Yes, there is a difficulty associated with using the number of funds as the weights in computing the weighted average total return for Morningstar. This is because the number of mutual funds in each category can fluctuate over time, and thus, the weights used to calculate the average total return may not accurately reflect the true performance of the mutual funds.

An alternative to using the number of funds as weights would be to use the dollar amount invested in each type of mutual fund as the weight. This would give a more accurate representation of the performance of the mutual funds.

c. The expected return on the portfolio is 9.63%.

This is calculated by taking the sum of the products of the total return and the amount invested in each of the four categories:

(4.65 * 2000) + (18.15 * 4000) + (11.36 * 3000) + (6.75 * 1000) / (2000 + 4000 + 3000 + 1000) = 9.63%

The weighted average total return for the mutual funds covered by Morningstar is 9.20%, calculated by taking the sum of the products of the total return and the number of funds for each of the four categories. However, using the number of funds as weights may not accurately reflect the true performance of the mutual funds, and an alternative would be to use the dollar amount invested in each type of mutual fund as the weight. The expected return on the portfolio is 9.63%, calculated by taking the sum of the products of the total return and the amount invested in each of the four categories.

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2+7•(-3)^2
Help me
How do I solve. ?

Answers

Answer:

To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).

Next, we perform multiplication: 7 • 9 = 63.

Finally, we perform addition: 2 + 63 = 65.

So, the value of the expression 2 + 7 • (-3)^2 is 65.

10 - 2x, when x = 3

Answers

Answer:

4

Step-by-step explanation:

Plug in 3 as x in the expression:

10 - 2x

10 - 2(3)

10 - 6

= 4

Answer:

4

Step-by-step explanation:

10 - 2x

Let x =3

10 -2(3)

10 -6

4

Madison's favorite part of pizza is the crust. Pizza sizes are determined by their
diameter. Which size pizza should Madison order to get 37.68 inches of crust?

Madison's favorite part of pizza is the crust. Pizza sizes are determined by theirdiameter. Which size

Answers

Answer:

Step-by-step explanation:

Madison's favorite part of pizza is the crust. Pizza sizes are determined by theirdiameter. Which size

11/12-2/9 help plasssss

Answers

Answer:

hope this helps and have a great dayyyyyy

11/12-2/9 help plasssss

Question 7 (3 points)
A right rectangular prism is shown. Find the surface area of this prism. Refer to your
STAAR 8th Grade Math Reference Sheet for the appropriate formula.

Answers

Answer:

196 square feet

Step-by-step explanation:

(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)

S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196

God bless ya:)

The area of this prism is 196 square feet.

What is the area of ​​the prism?

The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of ​​a base and multiply the result by 2

The formula for the area of ​​the prism is given by:

\(S=ph+2b\)

Where:

p=l+l+w+wb=lxw

So we have that:

\(s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196\)

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A__________________________ is a correspondence between two types of quantities such that the measures of quantities of the first type are proportional to the measures of quantities of the second type. * 2 points proportional relationship graph constant table

Answers

Answer:

Newtons 2nd law of motion

Step-by-step explanation:

Newton’s second law of motion is closely related to Newton’s first law of motion. It mathematically states the cause and effect relationship between force and changes in motion. Newton’s second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force. Before we can write down Newton’s second law as a simple equation giving the exact relationship of force, mass, and acceleration, we need to sharpen some ideas that have already been mentioned.

the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x

Answers

The value of x in the triangle is determined as 45.

What is the value of x?

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x

13 1/3 divided by 2/3

Answers

The value of expression  13 1/3 divided by 2/3 would be; 20

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 13 1/3 divided by 2/3

Therefore,

40/3 divided by 2/3

40/3 x 3/2

20

Therefore, The value of expression  13 1/3 divided by 2/3 would be; 20

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Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)

Answers

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Use the coordinates of the labeled point to find the point-slope equation ofthe line.A. y-5=-3(x+3)B.y-3-(x+5)C.

I have more question then this and no bots

I have more question then this and no bots

Answers

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

Karen runs each lap in 7 minutes. She will run more than 42 minutes today. What are the possible numbers of laps she will run today?
Use N for the number of laps she will run today.
Write your answer as an inequality solved for N.

Answers

Answer:

the answer for the question is N=6

Answer:

6 laps they will run

Step-by-step explanation:

I say 6 laps because if you do 42/7 then you will get 6 so 6 laps.

Write a couple of paragraphs describing how you can determine the values of x that a) make
the rational function 0, and b) the values of x where the rational function is undefined:
f(x) = x²-2x+1
4x+5

Answers

The required paragraphs regarding with given expression f(x) = x²-2x+1/4x+5 have been explained later in the section.

What is a rational expression?

A rational expression is a fraction in which the numerator and denominator are polynomials.

Here,
a) To determine the values of x that make the rational function f(x) equal to 0, we need to solve the equation:

x² - 2x + 1 = 0

Next, we can factor the quadratic on the left-hand side of the equation:

(x - 1)(x - 1) = 0

The quadratic is a perfect square, and we can see that it is equal to 0 when x = 1. So, the value of x that makes the rational function 0 is x = 1.

b) To determine the values of x where the rational function f(x) is undefined, we need to look for values of x that would make the denominator, 4x+5, equal to 0. If the denominator is equal to 0, then we would be dividing by 0, which is undefined.

So, we set the denominator equal to 0,

4x + 5 = 0

4x = -5

x = -5/4

Therefore, the value of x where the rational function is undefined is x = -5/4.

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Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER

Answers

Hi buddy I just got a call from you

Find the center of mass of a thin plate of constant density delta covering the region bounded by the parabola y = 5/2 x^2 and the line y = 10. The center of mass is located at (x, y) = (Simplify your answer. Type an ordered pair.)

Answers

Answer:

Step-by-step explanation:

a

Given f(x) = 3sqrt(2x-1).
6(2x-1)^2-3

What is lim f(x)?

Given f(x) = 3sqrt(2x-1). 6(2x-1)^2-3What is lim f(x)?

Answers

Answer:

\(\displaystyle 51\)

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Algebra II

Piecewise functions

Calculus

Limits

Right-Side Limit:                                                                                             \(\displaystyle \lim_{x \to c^+} f(x)\)

Limit Rule [Variable Direct Substitution]:                                                             \(\displaystyle \lim_{x \to c} x = c\)

Limit Property [Addition/Subtraction]:                                                                   \(\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)\)

Limit Property [Multiplied Constant]:                                                                     \(\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle f(x) = \left \{ {{3\sqrt{2x - 1}, \ x \leq 2} \atop {6(2x - 1)^2 - 3, \ x > 2}} \right.\)

Step 2: Solve

Substitute in function [Limit]:                                                                         \(\displaystyle \lim_{x \to 2^+} 6(2x - 1)^2 - 3\)Factor:                                                                                                           \(\displaystyle \lim_{x \to 2^+} 3[2(2x - 1)^2 - 1]\)Rewrite [Limit Property - Multiplied Constant]:                                           \(\displaystyle 3\lim_{x \to 2^+} 2(2x - 1)^2 - 1\)Evaluate [Limit Property - Variable Direct Substitution]:                             \(\displaystyle 3[2(2 \cdot 2 - 1)^2 - 1]\)Simplify:                                                                                                         \(\displaystyle 51\)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

What is 44 feet per second as a unit rate.

Answers

Answer:

44 feet per second

Step-by-step explanation:

(already a unit rate, because it is at its lowest form with 1 second in the equation) BIG BRAIN

44 feet per second is written as 44ft/sec when expressed in unit rate.

What is a unit rate?

To rapidly determine the unit rate of quantities, use the unit rate calculator. The calculator, for instance, will simplify the fraction and output the result as a unit rate if two values and their units are entered.

Unit rates include things like km/h, m/sec, cost/litre, etc. The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate.

The kilometre per hour (km/hour), price per litre, profit per item, etc. are a few instances of unit rates.

Divide the numerator by the denominator, setting the denominator equal to 1, to determine the unit rate.

The ratio of how many units of the first type of quantity to one unit of the second type of quantity is known as the unit rate. The unit rate is used frequently in daily life.

The unit rate is 40 feet/second which can be written as 40ft/sec this means 40ft has been covered per second.

Hence, 44 feet per second is written as 44ft/sec when expressed in unit rate.

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-2(x+2)=1/4(-8x-16) how many solutions does it have

Answers

Answer:

many or few

Step-by-step explanation:

scan this code

-2(x+2)=1/4(-8x-16) how many solutions does it have

100 Points! Algebra question. Photo attached. State the phase shift for the function. Then graph the function. Thank you!

100 Points! Algebra question. Photo attached. State the phase shift for the function. Then graph the

Answers

Answer:

Phase shift: -90(90 to the left)

Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x4 and y=125x

Answers

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Given: AAEB and ADFC, ABCD, AE || DF, EB || FC, AC = DB
Prove: AEAB AFDC

Given: AAEB and ADFC, ABCD, AE || DF, EB || FC, AC = DBProve: AEAB AFDC

Answers

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Proving that Triangles are Equal

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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1. Translate the figure: Right 5 and Up 4

1. Translate the figure: Right 5 and Up 4

Answers

Step-by-step explanation:

Right 5 and 4 =9 that is the answer

What is the perimeter of the rectangle 2 cm x 2 cm and 1 cm x 1 cm

Answers

Answer:

l=P over 2﹣w

Step-by-step explanation:

50 POINT QUESTION I WILL GIVE BRAINLIST IF CORRECT A study showe a correlation between the number of umbrellas sold at a local store and the number of days of inside recess at the nearest school. Which lurking variable would explain the correlation between the number of umbrellas sold and the number of days of inside recess?
A.the size of the gym at the school
B.the amount of rainfall in the town
C.the price of umbrellas at the store
D.the number of people wearing rain jackets
E.the distance between the school and the store

Answers

Answer:

the answer might be b why didnt i get  brainlest :(

Step-by-step explanation:

If 20+2 (3x + 10) = 22 - 3 (3 + 2), what is the value of x?

Answers

Answer:

-33/6

Step-by-step explanation:

20+6x+20 = 22-3(5)

40+6x = 7

6x = -33

x = -33/6

What function is being described Justify each part of your function, explaining how you determined it.

My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Answers

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

What is the end behavior of a polynomial function?

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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For Ln = 1 given Ln as indicated, express their limits as n → as definite integrals, identifying the correct intervals.

Answers

Therefore, integral specific function f(n) you're working with will determine which interval [a, b] you choose, and there may be several distinct methods for expressing the limit as a definite integral.

Explain integral.

A definite integral is the area beneath a curve between two defined boundaries. An is the lower limit and b is the upper bound, and baf(x)dx represents the definite integral that is the function of two variables, defined to reference the x-axis.

Here,

lim n → ∞ f (n)

You can define this limit as a definite integral over the interval [a, b], where a and b are some constants that rely on n, where f(n) is a function of n, by saying:

For , f(x) = lim n → ∞ f(n) for a ≤ x ≤ b

The maximum can then be stated as follows:

=> lim n → ∞ f(n) = ∫a^b f(x) d

The specific function f(n) you're working with will determine which interval [a, b] you choose, and there may be several distinct methods for expressing the limit as a definite integral.

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The product of two numbers is 155952. If one number is 342, find the other
number.

Answers

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

I need help with this math problem

I need help with this math problem

Answers

Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

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The area of a circle is 99.88cm2.Find the length of the radius rounded to 2 DP.r =cmWhat is the length of the radius rounded to 2dp I know I just asked a question i'm sorry but if you could please help me that would mean a lot. Thank you I am the quadrilateral. I have two pairs of equal and parallel sides and two pairs of the equal angles. Proposals are persuasive reports that offer a solution to an identifiedproblem or need.Select one:a. Fb. T Suppose a paper describes a study that investigated the usefulness of using MRI (magnetic resonance imaging) to diagnose breast cancer. MRI exams from 650 women were reviewed. Of the 650 women, 19 had breast cancer, and the MRI exam detected breast cancer in 18 of these women. Of the 631 women who did not have breast cancer, the MRI correctly identified that no cancer was present for 541 of them. The accompanying table summarizes this information.Suppose that an MRI exam is used to decide between the two hypotheses.--> H0: A woman does not have breast cancer.--> Ha: A woman has breast cancer.(Although these are not hypotheses about a population characteristic, this exercise illustrates the definitions of Type I and Type II errors.)(a) One possible error would be deciding that a woman who has breast cancer is cancer-free. Is this a Type I error or a Type II error? a. Type I b. Type II Use the information in the table to approximate the probability of this type of error. (Hint: See Example 10.8. Enter your probability as a fraction.) ____?_____(b) There is a second type of error that is possible in this context. Describe this error. a. In this scenario, a Type I error is concluding that a woman has cancer when she really does not have cancer. b. In this scenario, a Type II error is concluding that a woman has cancer when she really does not have cancer. Use the information in the table to approximate the probability of this type of error. (Enter your probability as a fraction.) _____?______ this is the x-ray u have been looking for is it a demonstrative adjective or demonstrative pronoun Based on how the stage directions are used in this excerpt from act I, scene I of Richard III, what is likely the main purpose of providing stage directions in a drama?A. to provide information about how the characters should move or speak onstageB. to provide lines of dialogue for the charactersC. to provide information to the audience about the setting of the playD. to provide the audience some insight into the motivations of the characters caroline has been arrested for shoplifting at bloomingdales. this is not her first offense and she is found guilty at trial. the judge decides the appropriate punishment is to cut off caroline's hand so she will not be able to shoplift again. if caroline had been put to death for her crimes of shoplifting, what would likely happen to the crime rates in the area? which type of planet do you think would be easiest to detect One of your friend is attending a job interview and you meet him in the street Make dialogue for wishing By writing each number correct to 1 significant figure, find an estimate for the value of2.882.6/27.8 13.9 When determining whether a chemical reaction has taken place you observe and look for several indicators. Which would be considered an indication that a chemical reaction or chemical change has taken place? es -) A) Solid melts. B) Heat is given off. Substance dissolves D) Substance changes shape. Physical Science What does external conflict mean Find the measure of 1) A white dwarf isA) a precursor to a black hole.B) an early stage of a neutron star.C) what most stars become when they die.D) a brown dwarf that has exhausted its fuel for nuclear fusion. Adam bought note pads at a 1.45 each and 10 towels he gave the cashier $100 and received $46 change find the cost of the towel HELP PLEASE ILL DO ANYTHING PLSWhich graph represents the solution to 1/7m < -1/22 I cant include the last graph but its -14/11 with a closed circle going to the left As of our publication date, federal corporate tax rate was 21%. General ledger account numbers for the journal entry are: A/C True or false the first complete cookbook in western civilization was written by apicius in first century AD? Stair numbers. The flights of stairs in the maths department have eleven stairs each. walk Up one of these flights of stairs taking one 0r two stairs at a time. How many dif- ferent ways are there to walk Up one of these flights of stairs? Hint: First consider flights of stairs with small numbers of stairs to develop feeling for what to expect, and maybe guess pat- tern. There is just one way to walk up flight of stairs consisting of just one stair (1) , two ways to walk up flight of stairs with two stairs (11,2) , three ways for three stairs (111, 12, 21) , etc.