Use the diagram to complete the following tasks.
Given: S is the midpoint of QT.
Finish the following statement: AQRS = A_
Identify the congruent Zs.
Justify your answer.

Use The Diagram To Complete The Following Tasks.Given: S Is The Midpoint Of QT.Finish The Following Statement:

Answers

Answer 1

The given statements:

1) ΔQRS ≅ ΔSTU (according to the ASA axiom)

2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)

What does the ASA axiom state?

The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".

Finding the given tasks:

It is given that,

S is the midpoint of QT.

So, SQ ≅ ST <S>

Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>.  This is beacuse they are vertically opposite.

And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.

From this, the given triangles have two equal corresponding angles and congruent sides in between them.

So, ΔQRS ≅ ΔSTU according to ASA axiom.

Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.

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Related Questions

Evaluate.

33 + (23)2 I will probally give u brainlest

A.27 4/9
B.9 2/3
C.9 4/9
D.27 2/3

Answers

Answer:

69

Step-by-step explanation:

33 + (23)2 =

= 33 + 46

= 69

This is the correct answer to the problem you posted. If you meant something else, you should have written it differently.

Use / for fractions and ^ for exponents.

Why is the exponent 0 1?

Answers

The exponent 0 refers to the number being raised to the power of 0.

When any number, except 0, is raised to the power of 0, the result is always 1. This is known as the "zero power property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^0 = 1

For example, 2^0 = 1, 5^0 = 1 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

The exponent 1 refers to the number being raised to the power of 1. When any number is raised to the power of 1, the result is always the same as the number itself. This is known as the "identity property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^1 = a

For example, 2^1 = 2, 5^1 = 5 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

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What is an R value that tells you how well a line of best fit fits the data?

Answers

Correlation Coefficient (r) o A model is deemed to be "excellent fit" if r is near to 1 (or -1). o The model is "not a good match" if r is close to 0. o The model has a "perfect fit" if r = 1, with all data points falling on the line. o The two variables do not have a linear connection if r = 0.

What is Correlation Coefficient?

The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients.

A positive relationship is shown by a linear correlation coefficient greater than zero.

Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.

The correlation coefficient (r2) is a statistic that expresses how closely two variables' movements are related to one another.

To determine the linear relationship between two variables, the Pearson product-moment correlation, the most popular correlation coefficient, is used.

However, this correlation value might not necessarily be a reliable indicator of reliance in a non-linear connection.

Hence, Correlation Coefficient (r) o A model is deemed to be "excellent fit" if r is near to 1 (or -1).

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Who is the father of geometry?

Answers

Euclid is the father of geometry

Euclid and René Descartes was often called the father of modern mathematics because he created analytic geometry and the Cartesian coordinate system.

What is modern mathematics?

Different methodologies have been used in contemporary mathematics. It focuses mostly on entities, whereby interconnections follow themes and patterns.

René Descartes was a person who was very famous for his philosophy of science and mathematics. He was considered a person who evaluate and made various new development in the field of math as well as time in separate fields like geometry and algebra with new properties that is developed by him.

He had the main idea of having finite and infinite particles or numbers in geometry. And also used various scientific methods to prove that.

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Which is a correct solution for the following system of Inequalities

HELPP DUE IN 30MIN

Answers

Answer:

I think the answer is A

1,2

What is a real image for Class 7?

Answers

In optics, an image is defined as the group of focus points of light rays coming from an object. A real image is a collection of focus points actually made by converging rays, while a virtual image is a collection of focus points made by extensions of diverging rays.

The real image is produced by the intersection of light rays. It can be obtained on a screen. Hence, projectors form real images.

The virtual image is formed when the light rays appear to be originating from a point but do not actually meet. It can be seen by human eyes.

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What is a polygon with 4 called?

Answers

A 4 polygon is a two-dimensional shape with four sides and four angles.

What is polygon?

Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.

It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447 gram setting. Based on a 24 bag sample where the mean is 444 grams and the standard deviation is 10, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.
Step 3 of 5: Specify if the test is one-tailed or two-tailed.

Answers

The test that we have here is the one tailed test.

How do we know that the test is one tailed?

From the direction of change of the parameter, we would be able to tell if the test is a one tailed test or not. That is, if the parameter is increasing or decreasing.

This test is looking to determine if the bags are underfilled (decreased)  or if they are overfilled (increased).

The test's alternative hypothesis is written in a way that it predicts the direction of the difference between two groups. The test is one-tailed if the alternative hypothesis predicts a direction of change

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Solve for x= 2 11/12x-5/6(x-2/5)

Answers

The value of the equation on x = 2 is 0.5

Given Quadratic equation,

[tex]= \frac{11}{12} x - \frac{5}{6}( x - \frac{2}{5})[/tex]

Put the value of x = 2 in the above equation and we get

[tex]= \frac{11}{12} *2 - \frac{5}{6}( 2 - \frac{2}{5})[/tex]

[tex]= \frac{11}{6} - \frac{5}{6} * \frac{8}{5}[/tex]

[tex]= \frac{11}{6} - \frac{4}{3}[/tex]

[tex]= \frac{1}{2}[/tex]

= 0.5

Therefore, the value of the equation on x = 2 is 0.5

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If m = −72 is slope, y - intercept is 12 and the point ( x, 5 ) lies on the line. What is the value of x ?

Answers

A line can be represented in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

Given that m = −72 and the y-intercept is 12, we can represent the line as y = −72x + 12

We are also given that the point (x, 5) lies on the line. So we can substitute the x and y values of the point into the equation of the line to find the value of x.

y = −72x + 12

5 = −72x + 12

-7 = -72x

x = 7/72

So the value of x is 7/72.

We can also get this by solving the equation of the line for x.

y = -72x + 12

y - 12 = -72x

(y - 12)/-72 = x

x = (y - 12)/-72

So for any point (x, y) on the line, the value of x can be obtained by substituting y and the slope-intercept form equation.

Somebody help please I don’t understand!!

Answers

The unit rate of the 76th player is [tex]1\frac{1}{3}[/tex] miles per hour.

The unit rate of the 91st player is [tex]1\frac{1}{9}[/tex] miles per hour.

The unit rate of the 44th player is [tex]1\frac{1}{2}[/tex] miles per hour.

What is an improper fraction?

An improper fraction is one in which the denominator is greater than or equal to the numerator. 5/2 and 8/5, for example, are incorrect fractions. Every fraction is made up of two parts: the numerator and the denominator. Proper fractions and improper fractions are the two main types of fractions in mathematics based on the numerator and denominator values.

For 76 number of players:

In 1/4 hour he can run 1/3 mile

In 1 hour he can run (1/3)/(1/4)mile

                                 =4/3 miles

Convert it into a mixed number:

                                = [tex]1\frac{1}{3}[/tex] miles per hour  

For 91 number of players:

In 3/4 hour he can run 5/6 mile

In 1 hour he can run (5/6)/(3/4)mile

                                 =10/9 miles

Convert it into a mixed number:

                                = [tex]1\frac{1}{9}[/tex] miles per hour

For 44 number of players:

In 1/2 hour he can run 3/4 mile

In 1 hour he can run (3/4)/(1/2)mile

                                 =6/4 miles

                                 =3/2 miles

Convert it into a mixed number:

                                = [tex]1\frac{1}{2}[/tex] miles per hour  

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In the  of 76th player's unit rate is 1 1/3 miles per hour , 91st player's unit rate is 1 1/9miles per hour and the 44th player's unit rate is 1 1/2miles per hour.

What is meant by an unit rate?

When expressed as a fraction, a unit rate has a denominator of one unit. To write a rate as a unit rate, divide the rate's numerator and denominator by the rate's denominator.

For a total of 76 players:

He can run 1/3 mile in 1/4 hour.

He can run (1/3)/(1/4) mile in 1 hour.

= 4/3 miles

Change it to a mixed number:

= 1 1/3 miles per second.

For a total of 91 players:

He can run 5/6 mile in 3/4 hour.

He can run (5/6)/(3/4) mile in an hour.

= 10/9 miles

Change it to a mixed number:

= 1 1/9 miles per hour.

For a total of 44 players:

He can run 3/4 mile in half an hour.

He can run (3/4)/(1/2) mile in 1 hour.

=6/4 miles

=3/2 miles

Change it to a mixed number:

= 1 1/2 miles per hour.

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Please help! Running out of time!

Answers

We can use some rules for exponents to simplify the expression, we will get:

7⁵/7¹  = 7⁴

How to simplify the expression?

Here we need to use two properties about exponents, these are:

The exponent of 1 bassically does nothing:

x¹ =x

The rule for divisions is:

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ ⁾

Now we have the expression:

7⁵/7

We can rewrite that as:

7⁵/7¹

Now we can use the second property to get:

7⁵/7¹ = 7⁵ ⁻ ¹ = 7⁴

That is the simplified expression.

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given the function f(x)=-2x+3 complete the table

Answers

Answer:

Outputs are-

f(-2) = 7

f(-1) = 5

f(0) = 3

f(3) = -3

Step-by-step explanation:

Given, f(x) = -2x+3

To find, 1) f(-2)

2) f(-1)

3) f(0)

4) f(3)

Solution,

1) Substituting x for -2,

f(-2) = -2 x -2 + 3 = 7

2) Substituting x for -1,

f(-1) = -2 x -1 + 3 = 5

3) Substituting x for 0,

f(0) = -2 x 0 + 3 = 3

4) Substituting x for 3,

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

my square orchid garden abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $5 per foot, and the fencing for the east and west sides costs $3 per foot. find the total cost of the fencing as a function of the length (in feet) of a side x.

Answers

The total cost of the fencing as a function of the length of the x side is 11x

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

southern = 5$east = 3$west = 3$side = xTotal cost = ?

Calculating the total cost:

Total cost = (southern + east + west) * side

Total cost = (5 + 3 + 3)*x

Total cost = 11x

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PLease help me find the distance between AB BC and CA please help

Answers

The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The coordinates of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324=√1768=42.04 units

Distance BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

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Does 2 dilated mean?

Answers

2 dilated means that the measurement of an area has increased or expanded in size.

This can be a linear measurement such as the diameter of a circle, or the area of a square or rectangle. The formula for the area of a circle is A=πr2 where r is the radius of the circle. A 2 dilated measurement would mean that the radius has doubled, so the formula would be A=π(2r)2 A=4πr2. This would mean that the area of the circle has increased by a factor of 4. Similarly, if the length and width of a rectangle were 2 dilated, the area would be A=2L2W, which would be four times the original area.

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How do you solve 3 variable equations with 3 variables?

Answers

The linear combination method will be used to resolve a system of three equations in three variables.

What is equation ?

Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal." The slope-intercept form, standard form, and point-slope form are the three primary formats for linear equations. A mathematical expression known as an equation has an equals sign. Many equations contain algebra. When you don't know the exact number to compute in math, algebra is used.

given

The linear combination method will be used to resolve a system of three equations in three variables.

This time, we will consider two equations at a time, eliminate one variable using the resulting equations in two variables, then solve for the third variable. with respect to this instance.

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Heidi has made a sequence of patterns using tiles. use the rule to find out how many tiles there are in the 7th pattern.

Answers

Answer:

29 is the correct answer

Prove that, cosecA/(tanA + cot A) =cosA​

Answers

The proof is given below

We can start by using the definition of the trigonometric functions cosec(A), tan(A), and cot(A):

cosec(A) = 1/sin(A)

tan(A) = sin(A)/cos(A)

cot(A) = 1/tan(A) = cos(A)/sin(A)

Now, we can substitute these definitions into the equation:

cosec(A)/(tan(A) + cot(A)) = 1/sin(A) / (sin(A)/cos(A) + cos(A)/sin(A))

Simplifying the right-hand side gives us:

1/sin(A) / (sin(A)(1/cos(A) + 1/sin(A))) =

1/sin(A) / (sin(A)/sin(A)cos(A) + sin(A)) =

1/sin(A) / (1 + sin(A))

Finally,

multiplying both sides by sin(A) (which is not 0 because A is not a multiple of pi/2)

cosec(A)/(tan(A) + cot(A)) * sin(A) = 1/sin(A) / (1 + sin(A)) * sin(A) = 1 / (1 + sin(A)) * sin^2(A) = cos(A)

Therefore, cosec(A)/(tan(A) + cot(A)) = cos(A)

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Can someone help me and show the work

Answers

ans is 90 and 30

Step-by-step explanation:

LN=90° (right angle)

MN=30°(DO THE MATH)

Would the following compound inequality be classified as an “and” inequality or an “or” inequality? Inequality: 6 > x + 1 > 3

dont guess please

Answers

The compound inequality says that x+1 is greater than 3 and less than 6.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than the relation between variables and the numbers.

Given that the compound inequality is 6 > x + 1 > 3. The compound inequallity says that the value of x +1 is greater than 3 and is less than 6.

The inequality can be written as,

6 > x + 1 > 3

x + 1 > 3

x +1 < 6

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given that 2x + 3y divideby 3x+4y ,find the ratio y : x

Answers

Although part of your question is missing, you might be referring to the question :

Given that 2x+3y / 3x+4y = 5, find the ratio of y:x

Given : 2x+3y / 3x+4y =5

To find : y : x

Solution :

(2x+3y) / (3x+4y) = 5, or

2x + 3y = 15x + 20y, or

-15x + 2x = 20y - 3y, or

-13x = 17y

Therefore, x/y = -17/13

Hence, y/x = -13/17

y : x = -13 : 17.

The answer is -13 : 17.

Tim's book has 50 pages.

Lisa's book has 2 1 2 times as many pages.

Which shows how many pages (y) Lisa's book has?

Answers

Lisa's book has 10,600 pages.

What is multiplication?

Multiplication is an operation that represents repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication is the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number.

Tim's book has 50 pages, if Lisa's book has 212 times as many pages, therefore;

Lisa's book has 212 x 50 pages

Lisa's book has 10,600 pages.

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Sydney is playing a game. She draws a fraction card labeled, Then she rolls a number cube labeled 1 through 6. sydney mutuplles the fraction b. the number rolled. If her score is greater than 1. she gets another turn. If her score is less than or equal to 1. her turn is over. What is the lowest number that Sydney can roll to get another turn? Enter the answer in the box.

Answers

Answer: To get another turn, Sydney's score must be greater than 1. Therefore, to find the lowest number that Sydney can roll to get another turn, we need to find the smallest number that, when multiplied by the fraction on the card, will give a result greater than 1.

It's not mentioned which fraction card Sydney drew, so we can assume any fraction.

Let's assume the fraction card is labeled 1/4.

To get another turn, Sydney's score must be greater than 1. Therefore, we need to find the smallest number that, when multiplied by 1/4, will give a result greater than 1.

1/4 * x >1

x > 4

so the smallest number that Sydney can roll to get another turn is 5.

It should be noted that this is assuming that the fraction card is labeled 1/4 , if the fraction card is labeled with any other fraction the answer would be different.

Step-by-step explanation:

Marshall divides his money into four categories. He saves of his money. He gives of his money to a charity. He uses of his money to buy snacks at school, and he spends of his money on fun. What fraction of his money does he save and spend on fun?

Answers

Answer:

Marshall saves 1/4 of his money and spends 1/4 of his money on fun. Therefore, he saves and spends 1/4 + 1/4 = 1/2 or 50% of his money on those two categories.

Step-by-step explanation:

Pleaseeee help me thx

Answers

When the length of JK is 9.5 feet and the angle L is 61 degrees  trigonometric ratio of the tangent, solving yields: KL=9.5ft/1.804 KL=5.27 ft.

what is trigonometry ?

The relationship between triangle side lengths and angles is investigated in the branch of mathematics known as trigonometry. The application of geometry in astronomical study gave rise to the area's first appearance during the Hellenistic era, roughly in the third century BC. Exact methods mathematics focuses on certain trigonometric functions and how they might be applied to calculations. In trigonometry, there are six widely used trigonometric functions. Their respective names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of the properties of triangles, especially of right triangles. The features of all geometric shapes are studied in geometry, though.

given

△JKL

JK=9.5ft

∠L=61∘

Find:KL

We may determine the outcome using the tangent's trigonometric ratio.

Tan = JK/KL = 61

When we separate KL, we get KL=9.5ft/tan61.

When the length of JK is 9.5 feet and the angle L is 61 degrees  trigonometric ratio of the tangent, solving yields: KL=9.5ft/1.804 KL=5.27 ft.

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The correct question is :-

Given triangle JKL, find the length of KL. The length of JK is 9.5 ft and the angle L is 61 degrees.

NEED ANSWER PLS!
WORTH 60 POINTS!
Select the correct answer.
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A.
g(0) = 2
B.
g(-13) = 20
C.
g(7) = -1
D.
g(-4) = -11

Answers

Answer:

7

Step-by-step explanation:

7

Use the information about four different waves to answer the question.


Which wave contains the lowest energy?
-wave 2
-wave 1
-wave 3
-wave 4
^

(screenshot is for this one)
X-ray technicians wear protective gear to keep them safe from the X-rays. Why are X-rays dangerous?


They have short wavelengths that can penetrate materials, and their low energy can damage matter.

They have short wavelengths that can penetrate materials, and their high energy can damage matter.

They have long wavelengths that can penetrate materials, and their low energy can damage matter.

They have long wavelengths that can penetrate materials, and their high energy can damage matter.

Answers

1) X-Rays are dangerous because: "They have short wavelengths that can penetrate materials, and their high energy can damage matter."  (Option B)

2) From the table given, the wave that has the lowest energy is Wave 4.

What is the relationship between Frequency and wavelength?

The relationship between frequency and wavelength is inverse. The wavelength of the wave with the highest frequency is the shortest. One-half the wavelength equals twice the frequency. As a result, the wavelength ratio is inverse to the frequency ratio.

To summarize, waves transport energy. The quantity of energy carried by them is proportional to their frequency and amplitude. The greater the frequency, the greater the energy, and the greater the amplitude, the greater the energy.

Also, the lower the frequency, the lower the energy, and the lower the amplitude, the lower the energy. Thus, the wave with the lowest energy is Wave 4.

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19/2-1/3-9/6=?????????

Answers

Answer:

[tex] \frac{23}{3} ....in \: fraction \: or \\ 7.666666...in \: decimal[/tex]

Step-by-step explanation:

Greetings!!!

look at the image attached

Hope it helps!!!

Conider the problem, in 3/4 cup of oatmeal, there i no 1/10 of the recommended daily value of iron. What fraction of the daily recommended value of iron i in 1 cup of oatmeal. (1 multiplication and diviion equation)

Answers

The fraction which is recommended as value of iron in 1 cup of oatmeal as per the given relation is equal to 2/15.

As given in the question,

Daily recommended value of iron in the given cup of oatmeal

3 / 4 cup of oatmeal  gives  1/10 daily value of iron.

Fraction recommended as daily value of iron is given by :

⇒ 3 /4 cup of oatmeal = 1 /10 value of iron

⇒ 1 cup of oatmeal = ( 1 × 4 ) / ( 3 × 10 ) value of iron

⇒ 1 cup of oatmeal = ( 4 ) / ( 30 ) value of iron

⇒ 1 cup of oatmeal = ( 2 ) / ( 15 ) value of iron

Therefore, the fraction recommended as daily value of iron is equal to

( 2/15 ).

The above question is incomplete, the complete question is :

In 3/4 cup of oatmeal, there is 1/10 of the recommended daily value of iron. What fraction of the daily recommended value of iron is in 1 cup of oatmeal? ( multiplication and division equation)

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Other Questions
use the integral test to determine whether the series converges. from (n=1) to ([infinity])(1/4n - 1) diverges converges A charge q1 = 2 c is at the origin, and a charge q2 = 10 c is on the x axis at x = 10 m. find the force on charge q2 . the colulomb constant is 8.98755 109 n m 2 /c 2 . answer in units of n. If a person goes to the bottom of a very deep mine shaft on a planet of uniform density, which of the following is true? 2. (A) The person's weight is exactly the same as at the surface. (B) The person's weight is less than at the surface. (C) The person's weight is greater than at the surface. (D) The person's weight may increase or decrease, depending on the density of the planet. If a country has Y > C + I + G, thena. S > I and it has a trade deficit.b. S < I and it has a trade deficit.c. S < I and it has a trade surplus.d. S > I and it has a trade surplus. True/False: the harm reduction model of treatment views "motivation" as a rigid construct, immune to therapeutic intervention. The purchase of government bonds by the Fed leads to an:A. increase in the supply of bonds and a decrease in bond prices.B. increase in the demand of bonds and a decrease in the price of bonds.C. decrease in the supply of bonds and a increase in bond prices.D. decrease in the demand of bonds and a increase in the price of bonds. QUESTION 50. 1 POINT The shape of the demand curve for a monopolistically competitive firm is between the shapes of the demand curves faced by a and a(n). Select the correct answer below: monopolist; perfectly competitive firm monopolist; oligopolist oligopolist; monopolist none of the above david bowie changed his original name to avoid confusion with which famous dave? Explain why the following series are either convergent or divergent. No explanation yields no credit. For each series, you must state the test used, show the work related to the chosen test, and give your conclusion. (infinity) E n=1 1/(n^6 - 8) Calculate the voltage for the following cell: (3sf) Zn | Zn2+ (0.10 M) || Cu2+ (0.20 M)| Cu Cu2+ (aq) + 2e- Cu(s) E = +0.34 V Zn2+ (aq) + 2e- Zn(s) E = -0.76 V Peanut allergies are becoming increasingly common in Western countries. Some evidence points to the timing of peanuts' first introduction in the diet as an influential factor, raising the question of whether pediatricians should recommend early exposure or avoidance. A study enrolled infants with a diagnosed peanut allergy and randomly assigned them to either completely avoid peanuts or consume peanuts in small amounts regularly until they reached 60 months of age. At the end of the study, 18 of the 51 infants who had avoided peanuts were still allergic to peanuts. In contrast, five of the 47 infants who had consumed peanuts were still allergic to peanuts. (a) What are the two variables described? (Select two options. ) peanut allergy at 60 months of age (yes or no year the study began peanut consumption (avoid or consume small amounts) percentage of peanuts in diet choice of diaper for infants current age in months (b) Give the marginal distribution of peanut allergy at 60 months of age, both as counts and as percentages. (Enter your answers rounded to one decimal place. ) marginal distribution (with peanut allergy, count): marginal distribution (with peanut allergy, percent): marginal distribution (no peanut allergy, count): marginal distribution (no peanut allergy, percent): what type of elements do we typically use to model laminated composite materials? what are the characteristics of the element (normal stress components and shear stress components)? HEPLLPLLLPPPPPPOP!!!Cylinder P is transformed into cylinder Q where both the radius and height of cylinder O become double of the radius and height of cylinder P, as shown in the figure.SciencePeriod 5Frequently VisitedCylinder PClever| PortalPrivacy Reporth100001313 educCylinder QIf the volume of the cylinder P is 8 cubic inches, what is the volume of cylinder Q in cubic inches? Enter the answer in the box. The volume of a right circular cylinder is r? h, where r is the radius of the base of the cylinder, and h is the height of the cylinder. where does the diffusion of oxygen from the alveoli into the blood occur? Create your own story of at least 4 sentences to explain a mnemonic phrase to help you remember the trig ratios of sine, cosine, and tangent. Be sure your paragraph has a beginning, middle and end. Be creative and original. Examples below. Some Old Horse Caught Another Horse Taking Oats AwaySome Old Hippo Came A Hopping Through Our Apartment Choose one of the following questions as your topic. What is Brahms famously enigmatic Symphony no. 3 about?Did Felix Mendelssohn pass his wife Fannys music off as his own?Find three sources to solve the mystery. Sources may be in video and/or text format. After you have found your sources, pretend that you are the first person to have discovered them. Write three letters (one for each source) to a student in the future who may use these resources for their research. In each letter, evaluate the validity of the source by answering the following questions:What does the author or speaker say in regard to your musical mystery? What is their opinion?How does the author or speaker use reasoning and evidence to back up their claims?Is there any evidence the author or speaker cites that seems exaggerated or distorted?How much do you trust this source? in a(n) _____, production, sales, and marketing are decentralized and financial management remains the parent companys responsibility. Bev had 24 pieces of candy she gave Jimmy 1/3 from the candy pieces remaining then she gave Selena 1/4 how many pieces of candy does she have left URGENT HELP PLEASE!!!In a class of students, the following data table summarizes how many students have aacat or a dog. What is the probability that a student chosen randomly from the classhas a cat and a dog? TRUE/FALSE. The R command "qchisq(0.05,12)" is for finding the chi-square critical value with 12 degrees of freedom at alpha = 0.05.