A Foucault pendulum can be used to demonstrate that the Earth rotates . The time , t , in seconds , that it 2n 67 takes for one swing or period of the pendulum can be modeled by the equation where L is the length of the pendulum in meters and g is a constant of 9.81 m / . The first Foucault pendulum was constructed in 1851 and has a pendulum length of 67 m . Determine , to the nearest tenth of a second , the time it takes this pendulum to complete one swing . Another Foucault pendulum at the United Nations building takes 9.6 seconds to complete one swing . Determine , to the nearest tenth of a meter , the length of this pendulum

Answers

Answer 1

The time to complete one swing or period is 16.4 seconds and the length is 3.3 meters

The time to complete one swing

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

L = 67 meters and g = 9.81 m/s²

The time, t, in seconds, that it takes for one swing or period of the pendulum can be modeled by the equation:

t = 2π(√(L/g))

Substitute the known values in the above equation, so, we have the following representation

t = 2π(√(67/9.81))

Evaluate

t = 16.4 seconds (approx)

The length of the pendulum

Here, we use the same equation and solve for L

In this case, t = 9.6

t = 2π(√(L/g))

substitute the known values in the above equation, so, we have the following representation

9.6 = 2π(√(L/9.81))

So, we have

L = (9.6/(2π))² * 9.81

Evaluate

L = 3.3 meters (approx)

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Related Questions

Natalie and Shriya each improved their yards by planting grass and ivy. They bought their supplies from the same store on the same day. Natalie spent $71 on 7 ft2 of sod and 11 pots of ivy. Shriya spent $76 on 8 ft2 of sod and 10 pots of ivy. Find the cost of one ft2 of sod and the cost of one pot of ivy.

Answers

Answer:

One ft2 of sod costs $10.14 and one pot of ivy costs $0.24

Step-by-step explanation:

We can use the information provided to find the cost of one ft2 of sod and the cost of one pot of ivy.

To find the cost of one ft2 of sod, we can divide the total cost of sod by the total area of sod:

Cost of 1 ft2 of sod = (71 / 7) = $10.14/ft2

To find the cost of one pot of ivy, we can divide the total cost of ivy by the total number of pots:

Cost of 1 pot of ivy = (76 - 71) / (11 + 10) = $5 / 21 = $0.24/pot

So one ft2 of sod costs $10.14 and one pot of ivy costs $0.24

Keep in mind that these calculations only give approximate prices since it's not specified that the cost of ivy and sod is the same, but it's just an estimation based on the information that you provided.

um goleiro faz 35 defesas em 5 jogos qual é a taxa unitária de defesas por jogo?

Answers

Answer:

7

Step-by-step explanation:

La tasa unitaria de salvamentos por juego es de 7 salvamentos por juego. Esto se puede calcular dividiendo el número total de guardados (35) por el número de juegos (5): 35 guardados / 5 juegos = 7 guardados por juego.

Question 6 of 30
On a unit circle, 0 = 60°. Identify the terminal point and tan 8.
O A. Terminal point: (,); tan 0 = √3
OB. Terminal point: (3,1); tan 0 = 3
OC. Terminal point: (,); tan 0 = √3
O D. Terminal point: (1,3); tan 0 =
SUBMIT

Answers

On a unit circle, 0 = 60°, hence the terminal point is (,); tan 0 = √3. It rotates symmetrically around the center at all angles.

what is circle ?

In the plane, a circle is created by each point that is a specific distance from another point (center). Therefore, it is a curve made up of points that are spaced out from one another in the plane in a fixed manner. It rotates symmetrically around the center at all angles. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are evenly distanced from the "center." Specular symmetry is produced by a line that traverses the circle. It rotates symmetrically around the center at all angles.

given

θ = 30 °

terminal point = cos 30° , sin30°

= (underroot 2 , 1/2 )

tan30° = 1/ underroot 3 = underroot3/3

On a unit circle, 0 = 60°, hence the terminal point is (,); tan 0 = √3. It rotates symmetrically around the center at all angles.

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Pine Grove High School has a total of one thousand and twenty
students. Ten percent of the students are out sick, and twenty-five
percent of the students are on a field trip. How many students are
currently in the school?


10 pointss!! Huryyyy nowww

Answers

663.

i found out what 35% of 1020 is and then subtracted that by 1020.

can someone help me please
what is 2(1/3^2) ?

Answers

Step-by-step explanation:

0.22222222222222222222222222

There are 400 more men than women at a funfair in the morning. In the afternoon 2/5 of the men and 1/4 of the women left the funfair. As a result, there were 120 more men than women remaining at the funfair. How many men were there at the funfair at first

Answers

There was 1200 men and 800 women at the funfair in the morning

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let x represent the number of men and y represent the number of women in the morning.

There are 400 more men than women at a funfair in the morning. Hence:

x = y + 400

x - y = 400     (1)

In the afternoon 2/5 of the men and 1/4 of the women left the funfair. hence:

number of men remaining = x - (2/5)x = (3/5)x

number of women remaining = y - (1/4)y = (3/4)y

There were 120 more men than women remaining at the funfair. therefore:

(3/5)x - (3/4)y = 120     (2)

From both equations:

x = 1200, y = 800

There was 1200 men in the morning

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What is the lowest whole number side length in inches that would ensure the triangle is an obtuse triangle?.

Answers

Answer:

24 inches.

Step-by-step explanation:

In order for a triangle to be obtuse, one of its angles must be greater than 90 degrees. In a right triangle, the angle opposite the hypotenuse is always 90 degrees, so in order for the triangle to be obtuse, the hypotenuse must be the longest side.

To find the lowest whole number side length in inches that would ensure that the triangle is obtuse, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

a^2 + b^2 < c^2

If we take the base 48cm and convert it to inches, 48cm = 48*0.393701 = 18.897638 inches

So the base is 18.897638 inches.

Now we have to find the lowest whole number side length of c so that:

18.897638^2 + b^2 < c^2

358.565744 + b^2 < c^2

We can see that the lowest whole number of c is 24 inches.

So, the lowest whole number side length in inches that would ensure that the triangle is obtuse is 24 inches.

What is the least 2-digit number?.

Answers

10 is the least 2-digit number having 0 on one's place and 1 on ten's place.

There are just two place values in 2-digit numbers: the units place and the tens place. Every number with more than one digit has various digits, each of which is described by its place value. 2-digit numbers range in value from 10 to 99. In other words, the smallest and largest 2-digit numbers are 10 and 99, respectively. When a number has two digits, it is called a 2-digit number. 2-digit numbers have two digits and range from 10 to 99.

Any number between 1 and 9 can be used as the digit in the tens place. The placement of each digit in a number is known as place value. There is just one place value that matters when discussing 1-digit numbers, and that is the ones place.

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which neurotransmitter is released from the parasympathetic ganglion

Answers

The amount of neurotransmitter released from the parasympathetic ganglion is acetylcholine.

The parasympathetic nervous system is part of the autonomic nervous system which helps to regulate involuntary bodily functions such as heart rate, digestion and other processes.

The parasympathetic nervous system is responsible for calming the body and restoring it to its resting state. Parasympathetic ganglia are clusters of neurons that receive and transmit nerve signals from the brain to the organs and muscles.

The amount of neurotransmitter released from these ganglia is acetylcholine, which helps to slow the heart rate and promote relaxation.

The parasympathetic nervous system is part of the autonomic nervous system which helps to regulate involuntary bodily functions such as heart rate, digestion and other processes.

The parasympathetic nervous system is responsible for calming the body and restoring it to its resting state. Parasympathetic ganglia are clusters of neurons that receive and transmit  signals from the brain to the organs and muscles.

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What is the zero of the polynomial 3x?.

Answers

On Solving we get that the zero of the polynomial "3x -9" is x = 3 .

The polynomial function is a type of function which involves only non negative integer powers or involves only positive integer exponents of a variable in an equation .

the polynomial function is given as : 3x-9 ;

to find the zeros of the polynomial we equate the given polynomial to zero(0) .

we get ; 3x - 9 = 0 ;

⇒ 3x = 9 ;

dividing both sides by 3 ,

we get ;

⇒ x = 3 .

Therefore , the zero is x = 3 .

The given question is incomplete , the complete question is

What is the zero of the polynomial "3x - 9" ?

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Simplify $(4 - 5i) - (-2i - 8) + (-1 + 8i).$

Answers

The expression $(4 - 5i) - (-2i - 8) + (-1 + 8i) is simplified to $5i -11

What are algebraic expressions?

Algebraic expressions are defined as expressions that are  composed of variables, coefficients, factors, constants and terms.

These expressions are likely to consist of some arithmetic operations, such as;

AdditionSubtractionMultiplicationFloor divisionBracketParenthesesDivision

From the information given, we have that;

$(4 - 5i) - (-2i - 8) + (-1 + 8i)

expand the bracket

$4 - 5i + 2i +8 - 1 + 8i

Now, collect like terms

$-5i +2i + 8i +4 +8 - 1

Add or subtract the like terms

$5i -11

Hence, the expression is $5i -11

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Which type graph is the best choice for determining the change in the stock market over time?
a. Scatter Diagram
b. Time-series Plot
c. Box Plot
d. Pie Chart

Answers

Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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What is The quotient of anumber and nine is less than the number. In algebraic expressions

Answers

Answer: [tex]x-\frac{x}{9}[/tex]

Step-by-step explanation:

1) quotient is the answer of a division problem

with that in mind and letting "a number" = x . . .

"The quotient of a number and nine..." would be [tex]\frac{x}{9}\\[/tex]

2) "is less than" always means you but the previous statement BEHIND . . .

[tex]x-\frac{x}{9}[/tex]

The table shows a linear relationship between the height of a fast-growing bamboo plant and the number of days since it was planted.
Days Planted. x 0, 2,4,6
Height (in.), y 15,20,25,30

1. What do the variables x and y represent in this relationship?
2. Read the description of the relationship above the table. How do you know that the relationship can be represented by a linear equation?
3. Can you tell whether the relationship has a positive or negative slope just by looking at the data in the table? Explain.
4. What rate does the slope represent in this situation?
5. Choose two points from the table and calculate the slope.
6. Suppose you graph the points given in the table. Where does the point (0, 15) lie? Use this information to find the y-intercept.
7. Write an equation in slope-intercept form that represents this

Answers

Step-by-step explanation:

answer is 567

How do you draw a 100 degree angle?.

Answers

You can draw a 100 degree angle with the help of Protractor.

A degree is the name given to the mathematical unit of measurement for an angle. A protractor is a device used to determine the degree of an angle. Angles can be measured at different angles with different degrees, such as 30°, 45°, 60°, and so on. A complete circle rotates at 360°.

Each of the 360 equal segments that make up a rotation is referred to as a degree. We use a circle ° to represent a degree. 180°, for instance, denotes 180 degrees. An angle in degrees is an angle whose measure is expressed in degrees.

Follow the given steps to construct a 100-degree angle with the help of a protractor.

Step 1: Draw a line with the help of a ruler and name it AB.Step 2: Place protractor tip at A and choose a 100 degree mark on protractor.Step 3: Place the pencil tip on the mark of 100 and mark a small point.Step 4: Draw a line connecting the point A and the recently marked point.

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Oakwood Elementary Fall Carnival gets bigger every year! Last year, they had 70 volunteers working 14 booths. This year, they want to have 42 booths.
If they use the same ratio of volunteers to booths, how many volunteers does Oakwood Elementary need this year?

Answers

Answer:

210

Step-by-step explanation:

70

14 booths

ratio = 70/14 =5

42 booths

by the same ratio = 42*5 = 210

11. Find the value of x
Giving 75 points please help

Answers

1) Triangle Midsegment Theorem will be used to solve the given problem.

2) The value of x would be 10.

What is Triangle Midsegment Theorem?

A triangle midsegment is a segment that links the midpoints of two triangle sides. A midsegment joining two triangle sides is parallel to the third side and half the length.

1) Triangle Midsegment Theorem will be used to solve the given problem.

2) Here M is the midpoint of AB, and P is the midpoint of BC. So, PM is a midsegment.

Therefore by the Triangle Midsegment Theorem,

      [tex]PM=\frac{1}{2} AC\\\\(x+5)=\frac{1}{2} 3x\\\\x=10[/tex]

 Hence, The value of x would be 10.

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Simplify the mathematical expression (a) 7 x 6 – 5 x 4 + 1 x 3

Answers

The order of operations is a collection of rules that gives the correct sequence of steps for doing a calculation. BIDMAS is an acronym used to tell you the correct order to complete a calculation when there are different operations . It stands for Brackets, Indices , Division, Multiplication, Addition and Subtraction.

Thus solving the expression;

we first solve all the multiplication parts:

7 x 6 - 5 x 4 + 1 x 3

Now addition:

= 42 - 20 + 3

Lastly subtraction:

= 42 - 23

= 19

How can I calculate my grade in class 10?.

Answers

To calculate my grade in class 10 divide your total points by the total points possible.

Total points earned divided by total points possible

The maximum amount of points you may have obtained in the course is referred to as total points possible.

The total number of available points in a class with 50 participation points, 50 homework points, 100 essay points, and 200 test points is 400. If you received 330 points in this class, divide that number by 400 to get a quotient of 0.825, This is equivalent to an 82.5% grade, or a low B.

Divide the total by the number of entries to get a percentage. Divide the total by 30, for instance, if you have % grades for 30 activities. Your final grade is expressed as a percentage by the quotient.

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determine if the two lines 7x-3y=-21 and y= "-3/7x+5" are parallel, perpendicular or neither

Answers

Answer:

They are perpendicular!

Step-by-step explanation:

Get 7x-3y=-21 into y=mx+b format.

7x-3y=-21           Bring 7x to the other side

-3y=7x-21          Divide -3 by both sides, it cancels out on the y's side.

y=-7/3x+7       Two negatives equal a positive, that it why 7 is positive.

y=-7/3x+7 is the line, the other is y=-3/7x+5

The slope of this line is -7/3 , the slope of the given line is -3/7.

Lines are perpendicular if the slopes are opposite reciprocals, such as this.

So, while they intercept at different points on the y-axis, they will intersect at some point! This makes them perpendicular.

How many types of fractions are there Class 6?.

Answers

There are seven types of fractions.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

The types of fractions are:

1) Proper fraction -  the numerator is always less than the denominator

2) Unit Fractions - the numerator of fraction is always 1

3) Improper fraction -  the numerator is greater than the denominator

4) Mixed fraction - it is a combination of a natural number and fraction

5) Like fractions - the fractions have the same denominators

6) Unlike fractions - the fractions have the different denominators

7) Equivalent fractions - the fractions have the same value when simplified.

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Aditi and Kavita had 40 coins in total. Aditi gave 10 coins to Kavita. The product of the coins they now have is 375. Aditi had fewer than 30 coins when she started.

Answers

Aditi and Kavita had 40 coins in total. the coin share b/w them is

x=25, y=15

What is coin share?

Generally, Aditi and Kavita's original coin total is 40.

x+y=40

Aditi gave 10 coins to Kavita.

(x-10)*(y+10)=375

Now solving a system of equations using a calculator

x=25, y=15

x=35, y=5

Since Aditi had fewer than 30 coins when she started.

The correct proportion is

x=25, y=15

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CQ

Aditi and Kavita had 40 coins in total. Aditi gave 10 coins to Kavita. The product of the coins they now have is 375. Aditi had fewer than 30 coins when she started.

How much coin did dey both have

What is the rule for a 45 45 90 special right triangle choices are given by the order of leg leg hypotenuse leg?.

Answers

For each 45-45-90 triangle, the period of the hypotenuse equals the length of the leg expanded via the square root of 2. That is the 45-45-90 Triangle Theorem.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is greater than thousand years vintage, having been described at the very first web page of Euclid's elements.

In Euclidean geometry, any 3 elements, at the same time as non-collinear, determine a very precise triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean area). In special words, there's exceptional one plane that includes that triangle, and each triangle is contained in some plane. If the complete geometry is best the Euclidean plane, there is the fine one aircraft and all triangles are contained in it; however, in better-dimensional Euclidean areas, this isn't actual. this text is prepared triangles in Euclidean geometry, and specifically, the Euclidean plane, besides in which otherwise said.

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Please help!! I NEED this by tmr!!

Find the length of the segment y =
2.5x+10 from x = 0 to x = 16.

Answers

The length of the segment is 10,12.5 , 15,.. when x is from x = 0 to x = 16.

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

From the given expression ,

y = 2.5 x + 10

So, we have to find the length of line segment from x = 0 to x = 16.

so when x = 0 ,

y = 0+10

y = 10

and when x=1

y = 2.5*1+10

y=12.5

and similarly

when x = 2

y = 2.5* 2 + 10

y = 15

So, like this the sequence will be goin on y = 10 , 12.5 , 15 , 17.5 and etc .

Hence, The length of the segment is 10,12.5 , 15,.. when x is from x = 0 to x = 16.

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What is the product of 3x3x3x3?.

Answers

The product of numbers , 3× 3×3×3 is equals to the eighty-one.

In mathematics, a product is a number or result that is obtained by multiplying two or more numbers together. So, 12 is the product of 3 and 4. For example product of 5 and 4 is represented by 5 × 4 = 20 , it is a multiplication expression. A multiplication expression has three parts, a multiplier ( i.e., 4) , a multiplicand ( i.e., 5), and the product ( i.e., 20). We have, a multiplication expression as 3×3×3×3. We can rewrite it in form 3¹× 3¹ ×3¹× 3¹ = 3¹⁺¹⁺¹⁺¹ = 3⁴ , it is an exponential form number. Therefore, results is equals to 81. So, the required product value is 81.

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A+b=7 and ab= 6 find a2+b2

Answers

Answer:

37

Step-by-step explanation:

a+b=7 and ab= 6 find a^2+b^2

a + b = 7

ab = 6

( a + b )² = a² + b² + 2ab =

7² = a² + b² + 2 × 6 =

49 = a² + b² + 12 =

a² + b² = 49 - 12 =

a² + b² = 37

in anytown, 55% of the 20,000 inhabitants live in houses, 25% of the inhabitants live in apartments, the rest of the inhabitants live in condominiums, how many anytownians live in condominiums. HELP WILL GIVE BRAINLIST IF SHOW WORK

Answers

Answer: 4,000 people live in condominiums.

Step-by-step explanation:

First add 55%+25%=80%

Then subtract 100%-80%=20%

Then turn 20% to 0.2.

Last, multiply 0.2x20,000= 4,000

Gabe goes to the mall. If k is the number of items he ​bought, the expression 18.58k+30 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store. Find the expression which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 3 items.

Answers

The expression which represents the amount Gabe spent at the mall will be 18.58k + 52.

The amount that Gabe spent if he bought 3 items will be $107.74.

How to calculate the expression?

From the information, Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store and he spent 22 dollars at another store.

The expression which represents the amount Gabe spent at the mall will be:

= 18.58k + 30 + 22

= 18.58k + 52

The amount that Gabe spent if he bought 3 items will be:

= 18.58k + 52

= 18.58(3) + 52

= $107.74

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What is the difference between greatest 6 digit number and smallest 6 digit number?.

Answers

The difference between the greatest 6-digit and smallest 6-digit numbers is 899999.

The aim is to find the smallest and largest 6-digit numbers, and then we need to find how many numbers are between these two values.

Let's start by finding the smallest 6-digit number.

We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit; that is, 1 and 1 can be used in the highest place value.

Thus, we can create the required 6-digit smallest number with 0 and 1.

Hence, the smallest 6-digit number is 100000.

Now, we will discover the largest 6-digit number.

As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 6-digit number with the digit 9.

Thus, the largest 6-digit number is 999999.

Next, we need to find the difference between these two values.

So, we can determine the difference between the smallest 6-digit number and the largest 6-digit number by subtracting the smallest from the largest.

Thus, we get,

⇒999999−100000

⇒899999

Hence, 899999 is the difference between the smallest 6-digit and the largest 6-digit numbers.

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What are the types of multiplication method?.

Answers

Different types of multiplication method is given by :

a. Addition method

b. Vertical method

c. Box method

d. Partial multiplication method

As given in the question,

Different types of the multiplication method are as follow :

a. Addition method :

In addition method if 4 × 3 it means add 4 three times.

4 + 4 + 4 = 12

b. Vertical method :

It is traditional way of multiplying the given numbers . Example : 12 × 4

1 2

×4

48

c. Box method :

In this box was formed as per the given numbers . Example 42 × 13

           10          3

40     400         120

2       20           6

Add : 400 + 120 + 20 + 6 = 546

d. Partial multiplication method :

This method is based on distributive property to make the calculation easy.

45 × 6

= ( 40 + 5 ) × 6

= 40 × 6 + 5 × 6

= 240 + 30

= 270

Therefore, the different types of multiplication methods are:

a. Addition method

b. Vertical method

c. Box method

d. Partial multiplication method

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it take a bus 1 hour and 30 minutes to travel 48 milesCalculate the average speed of the bus in mphif your answer is a decimal, give it to 1 d.p companies that are financially dependent on a few large clients for its revenue compete in an industry with a ________. what do the helvetians hope to do about the allobroges? cite the latin that supports your answer and translate it accurately. What is a 180 degree triangle called?. I need help with this question pleasee help me :c When Reggie takes his baby son, Tyson, to his workplace for the first time, Reggies assistant abruptly picks Tyson up and walks around the office. Tyson cries and reaches out for Reggie. Tyson is expressing __________.A) sadnessB) stranger anxietyC) separation anxietyD) disgust part 1 imagine you are a teacher for a student who has been referred for a special education evaluation. the parent has agreed to the evaluation but is unfamiliar with idea and the iep process and wants to meet to learn more about these topics. create a simple visual that summarizes the 12 key components of idea. this visual could be a 1-2 page handout, chart, brochure, etc. and should provide the reader with a clear understanding of key terms and processes associated with ieps. include idea citations relevant to each component. the visual should address the following . If there is an increase in the price of apples that causes consumers to purchase fewer pounds of apples and more pounds of oranges, the CPI will suffer froma. substitution bias.b. bias due to the introduction of new goods.c. bias due to unmeasured quality change.d. base-year bias.e. none of the above. 2 What is the derivative of the function f(x) = 3x + 2x - 4x at x=1? What should you never include in your conclusion? Choose one character. Look back at the previous scences in a raisin in the sun, and identify at least three stage directions that help you understand that particular character. What did you learn about the character from those directions? Respond in four to six sentences. PLEASE HELP WITH EQUATION the annual expenditure of the us federal government is approximately 444 trillion dollars. if a one dollar bill is 0.00010.00010, point, 0001 meters thick, how many meters tall would a stack of 444 trillion one dollar bills be? write your answer in scientific notation. for reference: 111 trillion In Phoenix, home gardeners should only purchase from a nursery young fruit trees with ________________.A. a singular straight trunk called "whips"B. potting soil derived from bovine extractC. a special USDA tag indicating that they have been organically grownD. side branches called "feathered trees" Which deert i on the only continent that i alo a country? Atacama Kalahari Autralia Antarctica Why is the Lord's prayer the most important prayer in Christianity? (Try answer according to R.E Edexcel B GCSEs, but a general answer is also fine) The police department in your city was asked by the mayors office to estimate the cost of crime. The police began their study with burglary records, taking a random sample of 500 files. If the average dollar loss in a burglary, for this sample size 500 is $678, with a standard deviation of $560, construct the 95% confidence interval for the true average dollar loss in burglaries rounded to the nearest dollar amount. Alec buys a refrigerator priced at $820.33 . If the sales taxi s 10%,how much tax will Alec pay? Ishi bought a $6.95 canvas and 8 tubes of paint. She spent a total of $24.95 on the canvas and paints. Determine the cost of each tube of paint. Which example provides a complete scientific description of an object in motion? question 7 options: the hiker followed the north trail a distance of two kilometers in thirty minutes. The tiger had to run at 50 kilometers per hour across the field to catch the zebra. The hockey player sent the puck flying toward the north goal to score the winning point. The vibration of the jackhammer broke through the south-facing rock in under 10 seconds.