Is 2 a positive number?

Answers

Answer 1

Answer:

the 2 positive of number is

Step-by-step explanation:

2_:3+23*3⅔+09=2465


Related Questions

What is the formula of perimeter Class 6?

Answers

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

The formula is:

Perimeter = (the distance all the way around the outside of the figure).

How to calculate the distance all the way around the outside of the figure

is different for every shape.

A few of them are:

The perimeter of a Square, (P) = 4 × Side units.

The perimeter of a Rectangle, (P) = 2(l + b) units.

The perimeter of a Triangle is = Sum of all three sides.

The perimeter of a Circle = 2 π r = π d.

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Neegan paddles a kayak 21 miles upstream in 4.2 hours. the return trip downstream takes him 3 hours. what is the rate that neegan paddles in still water? what is the rate of the current?

Answers

The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.

Neegan paddles a kayak 21 miles upstream in 4.2 hours.

As he is moving in Upstream, so during returning the flow will be downstream

Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.

Let the speed of Neegan paddles in still water = x miles/Hr.

Let the rate of the current be = y miles/Hr.

As Speed = Distance/Time

So, for Upstream speed, Speed will be = x-y

For downstream, the speed will be = x+y

From question,

(x-y) = 21/4.2 = 5-----(i)

(x+y)= 21/3 = 7 -----(ii)

Solving (i) and (ii)

2x = 12

=> x = 6

So, the value of y (From (i), will be = (x-5) = 6-5 = 1

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Solve: 8w + 5= 4 (2 w+1)=

Answers

Answer: No Solutions

Step-by-step explanation:

8w + 5= 4 (2 w+1)=

8w+5=(4)(2w)+(4)(1)

8w+5=8w+4

    -8w      -8w

5=4

-5  -5

0=-1

Which means there are No Solutions.

Answer:

8w+5=4(2w+1)

8w+5=8w+4

collect like terms

8w-8w = 4-5

0=-1

there is no solution

Market Research Math Quiz

QUESTION 9 of 10: A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if

it has a $1,000 base fee plus $5 per question and $2 per person surveyed?

a

a) $2,075

b) $2,920

c) $3,092

d) $4,022

a

Submit

Answers

The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.

The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.

The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.

Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.

Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.

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In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these two events are recorded and placed in a scatterplot. The value of r for this scatterplot is 0.369.

A graph titled decathlon Events has 200-meter dash time (seconds) on the x-axis, and Javelin throw distance (meters) on the y-axis. Points are grouped loosely together in a line with positive slope.

Which of the following best describes the relationship between the variables in the scatterplot?

Those with lower 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with lower 200-meter times tend to have longer javelin distances. The relationship is moderate.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate.

answer is D

Answers

Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."

What is the relationship  about?

The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.

This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.

Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.

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Answer:

d

Step-by-step explanation:

What is the angle between the lines 2x 3y =- Z and 6x =- Y =- 4z?

Answers

90° is the angle between the lines  2x = 3y = -z and 6x = -y = -2z and explained with directions of ratios as below

Direction ratios of line 2x = 3y = -z  which can be mentioned as [tex]\frac{x}{1/2} = \frac{y}{1/3} = \frac{z}{-1}[/tex] hence  [tex](\frac{1}{2} , \frac{1}{3} ,-1 )[/tex]

Direction ratios of line  6x = -y = -2z  which can be mentioned as

[tex]\frac{x}{1/6} = \frac{y}{-1} =\frac{z}{-1/4}[/tex] hence   [tex](\frac{1}{6} , -1 , \frac{-1}{4} )[/tex]

hence the dot product of the direction ratio of two line is

[tex]\frac{1}{2} .\frac{1}{6} + \frac{1}{3} . (-1) + (-1) . \frac{-1}{4}[/tex]  

= [tex]\frac{1}{12} -\frac{1}{3} + \frac{1}{4}[/tex]  

= 0

hence this shows that angle between the given equations is 90°

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-35PTS- what theorem can be used to prove these triangles are congruent

Answers

Answer:

Neither

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

We see two sides and one angle marked as congruent on both triangles.

The congruent angle is not included.

It means we can neither state it is ASA nor SAA as both of these require two congruent angles.

What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1

Answers

Answer: 1/2

Step-by-step explanation:

( see image ) ( Keep Change Flip )

Solve each system of inequalities. SHOW WORK.

[tex]\left \{ {{0.7x-2.1\ \textless \ 0} \atop {\frac{2}{3} x\ \textgreater \ 1}} \right.[/tex]

Answers

Answer:

Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.

Missing: [tex ‎0.7x-2.1\ ‎\textless ‎\atop ‎\textgreater ‎tex]

Find the area under the graph

Answers

Therefore , the solution of the given problem of function comes out to be 4 log2  + 3/4 is the are required.

What is meant by the word function?

A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.

Here,

Given :

=>  f(x) = x.2ˣ

=>A = [tex]\int\limits^2_{-1} x.2^{x}[/tex]dx

=> A = [tex]2^{x} \int\limits^2_{-1} x. + x\int\limits^2_{-1} 2^{x}[/tex]

=>  [ xlog2 + x²/2 +  x²log2 ]₋₁²

=>  log2 + 3/4 + 3log2

=> 4 log2  + 3/4

Therefore , the solution of the given problem of function comes out to be 4 log2  + 3/4 is the are required.

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Please help me I am struggling with this

Answers

Step-by-step explanation:

(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.

(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.

y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7

(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.

y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.

(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.

y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.

(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.

y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.

(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.

y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.

(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.

y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.

(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.

what would x be in x-3.4=17.1

Answers

Answer:

X = 20.5

Step-by-step explanation:

Move 3.4 to the other side, then solve for x.

x - 3.4 = 17.1

x = 17.1 + 3.4

x = 20.5

What does 4 more than mean?

Answers

Answer:

+4

Step-by-step explanation:

if x is your number, then x+4 is four more than

Answer:

Answer Below

Step-by-step explanation:

The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.

What is the relation between direction cosines of a vector?

Answers

The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.

The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:

[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]

where i,j and k  are unit vectors along the three axes of the coordinate system.

To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:

[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

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HELP!!!! Due to inflation, there were two price increases. After the second increase, the price of an item was twice its original price. By what percent did prices increase the first time if prices increased by 25% the second time?

Answers

The increase was 250% over the original price.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

let 'x' represent the original price, then 'x+0.25x' represents the first increase of 25%

six times greater, converted to a percentage:

(x+0.25x)×2×100 a second increase of six-fold

1.25x×2×100

250

The increase was 250% over the original price.

Hence, the increase was 250% over the original price.

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Graph the solution to this inequality on the number line.

1/3x-3<-1 5/6


Help please asap

Answers

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

what is inequality ?

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

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480 over 840 turning it into the lowest term​

Answers

Answer:

The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.

Step-by-step explanation:

Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!

Answers

Given: Two triangle AGHI AJKL.

To find: measure of side JK and round the answer nearest tenth.

Solution: from figure

IH=5, GH=8,LK=16 from similarity rule

IH/LK=GH/JK

5/16 = 8/x

⇒5x=16x8

x=16×8/5

⇒x=25.6 or

x= 26 (nearest tenth), this is side JK

Definition of Triangle

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.

Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.

Shape of Triangle

Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.

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7.9 , 8.37 , 7.293 , 7.785 , 7.476 greatest to least..pls help!!

Answers

Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 36. The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 28. 2 ?years, with a standard deviation of 3. 5 years. Transform into a z score

Answers

Therefore , the solution of the given problem of median comes out to be

a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.

Specify median.

The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.

Here,

Given : mean age is 36.

Standard deviation = 3.5

a) z - score = (34 - 28.3)/3.8 = 1.50

b) Interpretation:

An age of 34 is about 1.50 standard deviations above the mean.

c) Option B is correct.

Therefore , the solution of the given problem of median comes out to be

a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.

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a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b

Answers

The distance between town a and b is 175 mi.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b

Since, 2 cm = 100 mi

1 cm = 50 mi

Therefore, 3.5 cm = 50×3.5 = 175 mi

Hence, the distance between town a and b is 175 mi.

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How are the quantities in the problem related? What steps are needed to solve the problem?

Answers

O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

A disparity is presented to us.

[tex]y+4\leq 0[/tex]

The answer to the inequality must be discovered.

For each side of the inequality, deduct 4

y +4 - 4 ≤ 0 - 4

y ≤ -4

y ∈ ( - ∞ , - 4 ]

As a result, the solution set for the given inequality is provided by y (- , - 4].

O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

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I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5

Answers

Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:

y = kx/(sqrt(z)), where k is a constant.

We can find the value of k by substituting the known values into the equation. We get:

1/6 = k*20/sqrt(6)

k = 1/240

Substituting this value of k into the original equation, we get:

y = (1/240)x/(sqrt(z))

Substituting the values x = 14 and z = 5 into this equation, we get:

y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22

Step-by-step explanation:

Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters, how many of each coin does he have?
quarters
nickels

Answers

The number of coins of nickels and quarters will be 27 and 13, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.

Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,

x = y + 14                               ....1

0.05x + 0.25y = 4.60             ....2

From equations 1 and 2, then we have

0.05(y + 14) + 0.25y = 1

0.05y + 0.70 + 0.25y = 4.60

0.30y = 3.9

y = 13

Then the value of 'x' is given as,

x = 13 + 14

x = 27

The number of coins of nickels and quarters will be 27 and 13, respectively.

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Convert 12 m/s in
to km/h​

Answers

By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.

What is velocity?

Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.

What is the unit and formula for velocity?

The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).

The formula for velocity is:

velocity = displacement / time

To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:

12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h

So 12 meters per second is equal to 43.2 kilometers per hour.

Another way to do the conversion is by applying the formula :

Speed (km/h) = Speed (m/s) x 3.6

12 x 3.6 = 43.2

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Solve the inequality. Graph the solution.
-1/3h > or equal to 8
(step by step equation)

Answers

We can solve the inequality to get:

h ≤ -3

And its graph can be seen below.

How to solve the inequality?

Here we have the following inequality:

-(1/3)*h ≥ 8

To solve the inequality, we need to isolate h.

So we can multiply both sides by -3 (notice that this will change the sign of the inequality symbol)

So we will get:

-3*(-1/3)*h ≤ -3*h

h ≤ -3

Now to graph this, we need to draw a closed circle at -3, and draw an arrow that gose to the left.

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A cylindrical aluminum soda can is to hold 12 ounces of tasty beverage. What are the dimensions of the can that will minimize the amount of aluminum used

Answers

A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.

What is a reasonable approximation for the volume of a soda can?

The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.

How much pressure does a 12 oz. soda can typically hold?

When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.

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What is __ main __ PY in Python?

Answers

The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.

It is contained inside the  __ main __ PY file package.

Example,  __name__ == '__main__' expression.

Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.

It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.

It is an interpreted language and a python file is saved using the extension .py .

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About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water

Answers

Answer:

75 of his weight is water

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

The answer is 75

Answer: 75 pounds

Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75

                                                                                -Damien Kubinec

If p(x) = b² - 16b +32 and q(x) = -32b-32 what values of x does p(x)=q(x)?

Answers

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

Given that,

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32

We have to find the x value when the functions are equivalent to each other.

We know that,

Take the functions

p(x) = b² - 16b +32 and q(x) = -32b-32

When the function are equivalent

p(x) = q(x)

b² - 16b +32 = -32b-32

b² - 16b +32 +32b+32=0

b² + 16b +64 = 0

Now find the factors for 64

64 =  8×8

b² + 8b + 8b +64 = 0

Taking common terms

b(b + 8) + 8(b + 8)=0

(b + 8)(b + 8)=0

b=8

Therefore, The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

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When Eckels sees the beast he becomes terrified and runs right back to the vehicle, where he hides, shivering and crying true or false Give the present tense of the following verbs.1. RobertoYoen el supermercado. (trabajar) How does the structure of the poem helpdevelop the speaker's message? Ode to solitude Maria is thinking of running for student body president, but she wonders whether her campaign should emphasize campus security, improved parking facilities, or increased health services. Which scientific method of research would you recommend she use to determine the focus of her campaign? A chef that manages two restaurants buys seven bags of rice and six bags of flour.Restaurant A receives four bags of rice and two bags of flour for a total cost of$78. Restaurant B receives three bags of rice and four bags of flour for a totalcost of $71.50. What is the cost of each bag of rice and each bag of flour? Dans le frigo, il reste six (1) 1 of 12, quelques (2) 2 of 12, une petite (3) 3 of 12 et trois (4) 4 of 12. M. Abad va utiliser ce qu'il reste dans le frigo pour prparer (5) 5 of 12. Mme Abad va acheter des (6) 6 of 12 et des (7) 7 of 12. M. Abad va acheter des (8) 8 of 12 -5b + 35 = 85Help pls Leandra is learning about chemical reactions and she wants to examine the information that is included in a chemical equation. Which pieces of information does a chemical equation include What is the identify of an element with 14 protons 14 neutrons and 14 electrons? What are the 2 main causes of genetic variation in populations? How does public speaking anxiety manifests for you? Physiologically (i.e., in your body) and psychologically(i.e., thoughts)? Provide at least 4 sympt Accessibility is something you shouldn't think about until the end of your project. True False Tylers brother earns 14 per hour. The store offers him a raise a 15% increase per hour. After the raise, how much will Tyler brother make per hour Which perspective on life is most evident in the last stanza? One should be able to adapt to changing circumstances. Ones happiness should not depend on external events. Traveling is a good way to learn about the world. Money is not essential to personal fulfillment A conservative investor has $100,000 to invest. The investor has decided to use three vehicles for generating income: Municipal bonds, a certificate of deposit (CD), and a money market account. After reading a financial newsletter, the investor also has identified several additional restrictions on the investments: a. No more than 40 percent of investment should be in bondsb. The proportion allocated to the money market account will be at least double the amount in the CDc. The annual return will be 8% for bonds, 9% for the CD and 7% for the money market account. Assume that the investor wants to maximize the total annual returnThen, formulate the LP model for this problem, ignoring any transaction costs and the potential for different investment Which of the following is not one of the three sources of technological change? a. increases in human capital. b. better machinery and equipment. c. better means of organizing and managing production d. additional amounts of existing capital. Why is the simile from lines 213216 of The Odyssey, Part 1 effective?. And whisked away his great door slab to let his sheep go through but he, behind, reset the stone as one would cap a quiver. (from The Odyssey, Part I, lines 213216) 1. It emphasizes that a stone prevents any escape from Polyphemus's cave. 2. It reveals how enormous and strong Polyphemus is. 3. It tells that Polyphemus is not only a shepherd, but also an archer. 4. It shows that Odysseus's men quivered with fear What principles are at the foundation of the belief system of the Iroquois Confederacy? Cite evidence from the passage to support your answer. In "All Watched Over by Machines of Loving Grace," how does the speaker feel about the world he describes? O He is impatient for it to become a reality. humans taste food mostly because of: