FAST PLS
Which brand of granola typically weighs more?

Brand A bags typically weigh more because the median of brand A is higher than that of brand B.
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution.
Brand B bags typically weigh more because the range of weights is higher than that of brand A.

FAST PLSWhich Brand Of Granola Typically Weighs More?Brand A Bags Typically Weigh More Because The Median

Answers

Answer 1

Answer:

brand A. The bag weights for brand A have less variability than the bag weights for brand B


Related Questions

I Really Need Help..

PHOTO BELOW:

Answers

Answer: He is not correct because when simplifying an expression, you can only add like terms together.  

Step-by-step explanation:

you are given the expression: x^2 + 4x - 2x

when simplifying an expression, you can only add/subtract like terms (terms that have the same variable which are raised to the same power).

in the expression, you can only subtract 4x - 2x because they have like terms/the same variable.

you cannot add x^2 to 4x because x^2 and x are NOT like terms/the same variable. (If 4x was 4x^2, then you would be able to add them together.

meaning the simplified expression should be: x^2 + 2x and not 3x^2

Factor out the greatest common factor. Simplify the factors, if possible.2(c + y)2 - 14(c+y)2 - 6(c+y)4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. 2(c+y) 3 – 14(c + y)2 - 6(c +y)4 =(Type your answer in factored form. Simplify your answer.)OB. There is no common factor other than 1.

Answers

The greatest common factor of a polynomial is the largest expression that divides all of the terms of the polynomial. In this case, we have:

[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4[/tex]

First, find the GCF of the coefficients of the terms. The coefficients are 2, 14 and 6, their GCF is 2.

On the other hand, notice that the factor (c+y) is a common factor for all three terms. Find the greatest power of (c+y) that divides all the terms. Since the lowest power of (c+y) in the expression is 2, then, the greatest power of (c+y) that divides all the terms is (c+y)^2.

The GCF of the expression is the product of the GCF of the coefficients and the GCF of the factors with variables.

Then, the GCF of the expression is:

[tex]2(c+y)^2[/tex]

Factor out 2(c+y)^2 from the expression:

[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4=2(c+y)^2\lbrack(c+y)-7-3(c+y)^2\rbrack[/tex]

Therefore, the answer is option A and the expression inside the box should be:

[tex]2(c+y)^2((c+y)-7-3(c+y)^2)[/tex]

9. Determine whether the following graph is a function or a relation.

Answers

Answer: Relation

Step-by-step explanation: it is a relation because if you take any number on the x axis and look at its points there are two points on multiple parts

Evaluate the function for the following values:
f(-2)=
f(0) =
f(3) =

Answers

Need the first equation to answer this

Which of the equations shown have infinitely many solutions ? Select all that apply. A. 3x-1=3x+1, B. 2x-1=1-2x, c 3x-2=2x-3, D 3(x-1)=3x-3, E. 2x+2=2(x+1), F. 3(x-2)=2(x-3)

Answers

Answer:

The equations that have infinitely many solutions are;

[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]

Explanation:

For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.

That means that the expression before the equal sign must be equivalent to the expression after the decimal.

such as;

[tex]\begin{gathered} x=x \\ x+3=x+3 \\ 2x=2(x) \\ 4x+4=4(x+1) \end{gathered}[/tex]

From the given equation, the equations that have their left and right sides equivalent are;

[tex]\begin{gathered} 3(x-1)=3x-3 \\ 3x-3=3x-3 \\ \\ 2x+2=2(x+1) \\ 2x+2=2x+2 \end{gathered}[/tex]

Therefore, the equations that have infinitely many solutions are;

[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]


*IMAGE ATTACHED* (What’s the perimeter of the shaded figure below?

Answers

Answer:

The perimeter is 12 units.

Step-by-step explanation:

The answer would be 12 units because each side is 1 unit. If you count all the sides together, you get 12 units.

Answer: 12 units

Step-by-step explanation:

       The perimeter is the length around a 2D shape. We will count the units that make up this shape's outline. See attached. Please note that as long as you count every side for this shape, it doesn't matter the order you count.

       The perimeter is 12 units, the last option.

Write an equation in point-slope form for the line through the two points. Then change it toslope-intercept form. Rewrite the equation in standard form.10. (1, 2) and (3, 12)11. (6, 2) and (-2,-2) 12. (4,1) and (1,4)Please help I have sooo many assignments (:

Answers

For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

[tex]m=\frac{-2-1}{-1-0}=\frac{-3}{-1}=3[/tex]

and the line equation will be:

[tex]y-1=3x\Rightarrow y=3x+1[/tex]

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

[tex]m=\frac{-1-0}{0-(-1)}=\frac{-1}{1}=-1[/tex]

and the line equation will be:

[tex]y=-1(x-(-1))\Rightarrow y=-x-1[/tex]

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

Number One in the photo provided

Answers

a. np = 8.91 and nq = 18.09 where n = 27 and p = 0.33

b. np = 3.75 and nq = 21.25 where n = 25 and p = 0.15

c. np = 9.68 and nq = 34.32 where n = 44 and p = .22

Solution:

a. Given n =  27

          p = 0.33

np = 27 x 0.33

     = 8.91

nq = 27 x (1 - 0.33)

    = 18.09

For the approximation of binomial distribution, the sample size must be greater than 10 for both the products np and n(1-p) to approximate the binomial distribution by a normal distribution.

Since here np < 10 approximation is not applicable.

μp = np = 27 x 0.33  

             = 8.91

σp = √npq = √(27)x (.33) x (1 - 0.33)

              = 2.443

b.  n = 25 and p = 0.15

   np = 25 x 0.15

         = 3.75

   nq = 25 x (1 - 0.15)

    = 21.25

Approximation is not possible because np < 10.

c. n = 44 and p = .22

   np = 44 x 0.22

         = 9.68

   nq = 44 x (1 - 0.22)

    = 34.32

Since here np< 10 approximation is not possible.

μp = np = 44 x 0.22  

             = 9.68

σp =√npq = √(44)x (.22) x (1 - 0.22)

              = 2.747

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graph the line that passes through the point (0,3) and is parallel to another line whose slope is 1.2.
please do it quick i need it asap

Answers

Hello,

Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.

So now we have a point and a slope, so we can use the following formula to find the equation of the line:

y-y1 = m (x-x1)

Where:

y1 - y coordinate of a point on the line

x1 - x coordinate of the same point on the line

m - slope

Plugging in we get:

y+3 = 1.2 (x-0)

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

Cheers

In 17.2 seconds, a shopping cart is pushed 15.6 meters towards the west. What is the velocity of the cart? A. 1.6 m/s East B. 0.9 m/s West C. 1.1 m/s West D. 1.6 m/s West c

Answers

We have that:

[tex]\text{velocity}=\frac{\text{distance}}{\text{time}}[/tex]

then, in this case, we have:

[tex]\begin{gathered} d=15.6m \\ t=17.2s \\ v=\frac{d}{t} \\ \Rightarrow v=\frac{15.6m}{17.2s}=0.90\frac{m}{s} \\ v=0.9\frac{m}{s} \end{gathered}[/tex]

therefore, the velocity of the cart is 0.9 meters per second.

when the proper fraction $\frac{n}{37}$ is written as a repeating decimal, the sum of the first $40$ digits to the right of the decimal point is $236$. what is $n$?

Answers

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972

What is decimal?

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.

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.

n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972

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Please help I will give brainliest

Answers

The value of x in the triangle is 3.

How to find the angles in a triangle?

The exterior angle of the triangle is VBC.

Using the exterior angle theorem, the value of x can be found in the triangle.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

In other words,  an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Therefore,

m∠D = 9x - 2

m∠C = 40°

m∠VBC = 20x + 5

Hence,

20x + 5 = 9x - 2 + 40

20x + 5 = 9x + 38

20x - 9x = 38 - 5

11x = 33

x = 33 / 11

x = 3

Therefore,

x = 3

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Find a translation that has the same effect as the composition of translations below. T(5.3) (X,Y) followed by T -3,6) (X,Y) Choose the correct answer below. c A. (x,y)=(x + 2,y - 3) O B. (x,y)=(x + 2 y + 9) o C. (x,y)=(x + 8.y + 9) O D. (x,y)—(X + 8.y-3)

Answers

letter D is the answer


Solve the following system of equations by graphing. If this system is inconsis
identify the type of constraint.
y = 4x + 4
-12x + 3y = 3

Answers

Answer:

Inconsistent: parallel lines.

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=4x+4\\-12x+3y=3\end{cases}[/tex]

Use arithmetic operations to isolate y in the second equation:

[tex]\implies -12x+3y+12x=3+12x[/tex]

[tex]\implies 3y=12x+3[/tex]

[tex]\implies\dfrac{3y}{3}=\dfrac{12x}{3}+\dfrac{3}{3}[/tex]

[tex]\implies y=4x+1[/tex]

Therefore, we can see that both equations have the same slope and so the graphs of these equations are parallel.

The solution to a system of linear equations is the point of intersection.

As parallel lines never intersect, there are no solutions to this system and the system is said to be inconsistent.

PLEASE HELP DUE SOON!!!​

Answers

The volume of blocks = 27n³cm3.

volume of the cube box = 216n⁹ cm3.

Solution:

Here given,

6n³cm is the length of the cube-shaped box's side.

3n cm is the side length of the cube-shaped blocks.

We must calculate the volume of the box and the blocks.

The formula for cube volume is,

S³ = V

where s is the cube's side length

by substituting the values,

(6n³)³ cm3 box volume

= 216 n⁹ cm³

(3n)³ cm3 is the volume of the blocks.

= 27n³ cm³

As a result, the volume of the blocks is 27n³cm3 and the volume of the box is 216 n⁹ cm³.

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Answer:

A)  Volume of one block = 27n³  cm³

     Volume of the box = 216n⁹  cm³

B)  8n⁶ blocks will fit in one box.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $V$ is the volume. \\\phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]

Part A

The side length of the cube-shaped block is 3n cm.

Substitute the given side length into the formula to find the volume of the block:

[tex]\begin{aligned}\implies \textsf{Volume of one block}&=(3n)^3\\&=3^3 \cdot n^3\\&=27n^3\;\sf cm^3\end{aligned}[/tex]

The side length of the cube-shaped box is 6n³ cm.

Substitute the given side length into the formula to find the volume of the box:

[tex]\begin{aligned}\implies \textsf{Volume of one box}&=(6n^3)^3\\&=6^3 \cdot (n^3)^3\\&=216n^9\; \sf cm^3\end{aligned}[/tex]

Part B

To find the number of blocks that will fit in the box, divide the volume of the box by the volume of one block:

[tex]\begin{aligned}\implies \textsf{Number of blocks}&=\dfrac{\textsf{Volume of box}}{\textsf{Volume of block}}\\\\& = \dfrac{216n^9}{27n^3}\\\\&=\dfrac{216}{27} \cdot \dfrac{n^9}{n^3}\\\\&=8 \cdot n^{9-3}\\\\&=8n^6\end{aligned}[/tex]

A number you can square to give an answer bigger than 500 but bigger than 600

Answers

The number that you can square to give an answer bigger than 500 but bigger than 600 = 25.

What is the square of a number?

The square of a number is defined as the ability to multiple the given number by itself to give a perfect whole number.

For example the square of 2, which is written as 2² = 2×2 = 4

From the given scenario, the number that would be squared to give an answer bigger than 500 but bigger than 600 = 25

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suppose we want to choose 2 letters without replacement from four letters ABCD. (A)how many ways can the speed on if the order of choices is taken into consideration?(B) how many ways can this be done if the order of choices is not taken into consideration ?

Answers

A)

If the order of choice is taken into consideration, we consider four possibilities for the first choice and three for the second. Then the total number of ways is given by:

[tex]4\cdot3=12[/tex]

B)

If the order of choices is not taken into consideration, we must divide the the previous result by 2, which is the total number of ways by which we can organize two letters (ex: AB and BA):

[tex]\frac{12}{2}=6[/tex]

I used 999 sheets of toilet paper each day for 777 days. The roll had 969696 sheets when it was new. How many sheets of toilet paper have not been used? please get the answer right

Answers

The number of sheets of toilet paper that have not been used is 193473.

What is multiplication?

Multiplication simply has to do with the product of numbers.

From the information, the roll had 969696 sheets when it was new and the person used 999 sheets of toilet paper each day for 777 days.

Therefore, the sheet left will be:

= Number in the new roll - Sheets used

= 969696 - (777 × 999)

= 969696 - 776223

= 193473

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-4, 0, -2/3, 4.11111…, 2, π, √6 which are integers?

Answers

Integer Numbers

It can be defined as the number that can be written without a fractional (decimal) component.

Integers can be positive, negative, or 0.

From the numbers on the list only -4, 0, and 2 are integers. The rest of the numbers cannot be written without a decimal component.

For example:

-2/3 = -0.666

π = 3.14

The square root of 6 is 2.45

4.111... has an evident decimal component.

Answer: -4, 0, and 2

Finding the final amount in a word problem on compound interest

Answers

Remember that the formula to calculate the total amount in an account with compoud interest is:

[tex]P(1+r)^n[/tex]

Where:

• P, is the principal (amount incially invested)

,

• r ,is the rate of interest

,

• n, is the times that the interest is compounded

Using this and the data given we'll get:

[tex]2000(1+\frac{4.8}{100})^9=3049.87[/tex]

Thereby, we can conclude that the accounts balance after 9 years is $3,049.87

H(x)=-5/6x;h(x)=10
Find the value of x so that the function has the given value

Answers

The value of x = -12.

Define Function.

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x equals x divided by 2")

The given expression is

H(x)=-5/6 x

also, H(x) = 10

so, put H(x) value in given expression,

10 = -5/6 x

Now, solve for 'x'

-5x = 60

x = 60/(-5)

x = -12

Therefore, the value of x = -12

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Simplify the expression: 2v - 7 - 12v + 15

Answers

Hey there!

2v - 7 - 12v + 15
COMBINE the LIKE TERMS

= (2v - 12v) + (-7 + 15)

= 2v - 12v - 7 + 15

= -10v + 8


Therefore, your answer should be:

-10v + 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Describe in words where cube root of 35 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3

Answers

The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.

In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.

Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.The integers are typically shown as lines of specially chosen, evenly spaced dots. Even though the image only shows the integers from -3 to 3, as well as values that are in between the integers, the product contains all real numbers, going forever in both directions. When teaching the very foundations , addition and subtraction with negative numbers, it is widely used as a teaching technique.

We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.

Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.

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Loule and Nicky were asked to find point P that divides the directed line segment FG so that the ratio of FP to PG is 4 to 1. Loule says the coordinate of point P is (-4,-4), while Nicky says the coordinate of point P is (2, 5). Who is correct? Describe the mistake that was made by the student who was incorrect

Answers

Using ratio and proportion, Louie is correct.

Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.

From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).

If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.

FP : PG = 4 : 1

FP/PG = 4/1 = 4

x-coordinate of P

(4 - x)/(x - -6) = 4

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

4 - x = 4x + 24

-5x = 20

x = -4

y-coordinate of P

(8 - y)/(y - -7) = 4

(8 - y) = 4(y + 7)

8 - y = 4y + 28

-5y = 20

y = -4

Hence, the coordinates of Point P is (-4, -4).

Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.

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Determine the length of the line segment shown.

graph of line segment from negative 6 comma negative 5 to 0 comma 3

100 units
25 units
10 units
8 units

Answers

The length of the line segment will be 10 units.

What is Distance?

The distance between two points (x₁ , y₁) and (x₂, y₂) is defined as;

D = √( y₂ - y₁)² + (x₂ - x₁)²

Given that;

Two endpoints of the line segment are (6, -5) and (0, 3).

Now,

The length of the line segment is distance between two endpoints (6, -5) and (0, 3).

So, The distance between two endpoints (6, -5) and (0, 3) is calculated as;

D = √(0 - 6)² + (3 - (-5))²

D = √36 + 64

D = √100

D = 10 units

Thus, The length of the line segment will be 10 units.

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A house is bought for $75000 and then resold for $87000. Calculate the percentage profit

Answers

The cost price of the house = $75000

The selling price of the house = $87000

Profit = selling price - cost price

=> Profit made = $87000-$75000

=> Profit made = $12000

Profit Percentage is given by the formula , Profit % = [tex]\frac{profit X 100}{cost price}[/tex]

=> Profit % = [tex]\frac{12000 X 100}{75000}

=> Profit % = 16%

Hence the percentage of profit made by reselling the house is [tex]\fbox{16%}[/tex].

Jeremiah keeps a record of how many pages he reads each day. He read 40% fewer pages today than yesterday. If he read 90 pages today, how many pages did he read yesterday?

Answers

Answer:

126

Step-by-step explanation:

90 ÷ 10 = 9

9 × 4 = 36

90 + 36 = 126

formula p*r*t=I 4350 * 4 * x = I

Answers

As per the concept of Simple interest, the value of x that refers the time is 0.000057.

Simple interest:

Simple interest is obtained by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Give,

Here we have the expression like the following:

p*r*t=I

4350 * 4 * x =1

Here we need to find the value of x.

While we looking into the expression, we have identified that the value of

Principal amount (p) = 4350

rate of interest (r) = 4

Time = x

Interest amount (I) = 1

So, while we execute this expression then we get the value of times as,

=> 4350 x 4 x x = 1

Here we need the value of x so, we have to move the other to the right hand side, then we get,

=> x = 1/(4350 x4)

=> x = 1/17400

=> x = 0.000057

Therefore, the value of x is 0.000057.

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A test is worth 100 pts. Each problem is worth either 2 or 5 pts. The number of 5 pt problems is 22 less than 2pt problems. How many problems of each type are on the test

Answers

The number of two pt problems are 30 and 5 pt problems are 8.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x= one type of question

Let x-22= the other type of questions

100=2x+5(x-22) Distribute

100=2x+5x-110

100=7x-110

100+110=7x

210=7x

Divide both sides by 7

one type 30=x

second type 30-22=8

Hence the number of two pt problems are 30 and 5 pt problems are 8.

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Please see the picture below. I need parts A B and C

Answers

We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:

Since the vertical line touches the graph in two axes this means that the given graph is not a function.

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preferred stock has preference over common stock in the:multiple select question.portfolios of individual investors.payment of dividends.number of votes given.distribution of corporate assets. a bond has a $1,000 par value, 12 years to maturity, and an 8% annual coupon and sells for $980. what is its yield to maturity (ytm)? round your answer to two decimal places 13. The population of Maryland was 5.17 million in 1999, and it grew to 6.05 million in 2019.(a) Assuming that the population is growing exponentially, find the growth rate r for Maryland's population. Give your answer as a percentage, rounded to the nearest hundredth of a percent.r = %(b) Write an exponential model to describe the population of Maryland from 1999 onward (let t=0 in 1999).Pt = (c) What is Maryland's population expected to be in 2030? Round your answer to one decimal place. million people(d) When do you expect that Maryland's population will reach 7.5 million? Give your answer as a calendar year (ex: 1999).During the year (1 3/4 - 1/8)+(5/6 2/3) Cube A has a side length of 8 inches and cube B has a side length of 2 inches. What isthe ratio of the volumes of cube B to cube A?ABMath Bits.com8"2"O 16Submit AnswerOhO 30da all cash receipts and outflows during an interest period are treated as if they all happened at the same time. what is that time, and what is this rule called? help me pleaseeeeeeeee Which expression is equivalent to -(-r - 16)? Hello, is it possible to show me the steps to simplify this problem? I don't understand the solution provided in my textbook. Why should people raise our awareness of what happend to people on dark tourism sites Which expressions represent a quadratic expression in factored form? Select all the correct answers. x^2 x 72 (x + 3)(x 7) -8(x + 56) (x + 1)(x 2) (x 2) + (x + 3) Solve the system of inequalities by graphing.y-6x + 2y2 6x +1 In a right triangle, the hypotenuse is the longest side? Predict & EvaluateExplain the events in the story leading up to this moment that foreshadow the man's arrival. Use textual evidence to support your analysis.What is The Misfit's philosophy? How does he see things differently from the grandmother? Use details from the text to support your analysis. You choose option a for overdraft options. What would happen if you had $30 in your checking account and you tried to take out $45 at the grocery store using your debit card?. What do you think would happen to the population of peppered moths once coal use decreased and the trees no longer were covered in soot? The branch of psychology that considers how behavior changes over the lifetime is called __________ psychology. when you use your credit card to make a purchase the seller will pay a portion of the purchase to the credit card issuer in the form of a fee. this fee typically ranges between 1% to 3% of the cost of the item and is known as a(n): Write the coordinates of the vertices after a reflection over the y-axis Those who by valorous ways become princes, like these men, acquire a principality with difficulty, but they keep it with ease. The difficulties they have in acquiring it rise in part from the new rules and methods which they are forced to introduce to establish their government and its security. And it ought to be remembered that there is nothing more difficult to take in hand, more perilous to conduct, or more uncertain in its success, than to take the lead in the introduction of a new order of things, because the innovator has for enemies all those who have done well under the old conditions, and lukewarm defenders in those who may do well under the new. The Prince, Niccol MachiavelliWhich causes in the text explain the central idea that acquiring a principality can be difficult? Check all that apply. Those who are valorous envy the prince and his new territory. Those who did well under the previous leader become enemies. The introduction of new rules and methods is hard for people to take. Those who may do well under the new prince are weak defenders. It is dangerous to take the lead in the introduction of a new order.