a test has 20 questions and is worth 100 points. the test consists of x true/false questions worth 4 points and y multiple choice questions worth 8 points each. How many of each type of question are on the test?

Answers

Answer 1

Translate the word problem into a system of equations, with x representing true/false questions and y representing multiple choice questions:

(1) [tex]x+y=20[/tex] <-- a test has 20 total questions

(2) [tex]4x+8y=100[/tex] <-- the test is worth 100 total points

Now we have a system of two equations with two unknowns, which we can solve with the elimination method.

Let's multiply equation (1) by -4 so that we can eliminate x from the system:

[tex]-4x-4y=-80[/tex]

Now, add this new equation to equation (2) to eliminate x so that we only have one variable left:

[tex]4y=20[/tex]

Solve for y:

[tex]y=5[/tex]

Now, substitute this value for y into either the original equation (1) or (2). I will do equation 1 for simplicity:

[tex]x+5=20[/tex]

Solve for x:

[tex]x=15\\[/tex]

Notice that we now have values for both x and y, so we are done. We now know that there are 15 true/false questions and 5 multiple choice questions on the test!


Related Questions

Find the area of the trapezoid by composition of rectangle and triangles.

Responses

A 88 units2


B 72 units2


C 48 units2


D 84 units2

Answers

The area of the trapezoid by composition of the rectangle and triangles is c 48 units2

Help! Giving brainiest corrections due at 12pm today but I dont understand how to do this either

Answers

The length of the side BC is 96 units.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that AD is an altitude of triangle ABC.

Altitude of a triangle is the line of perpendicular drawn from a vertex to the opposite side.

∠ADC = ∠ADB = 90°

Given that, ∠ADC = 4x + 10

4x + 10 = 90

4x = 80

x = 20

Length of BC = BD + DC

                      = 2x + 3x - 4

                      = 5x - 4

                      = (5 × 20) - 4

                      = 100 - 4

                      = 96

Hence the length of the side BC is 96.

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The sun of Planet X has a diameter of about 860, 000 mi. The sun's distance from the surface of Planet X is
approximately 147,000,000 mi. Planet X's moon has a diameter of 18.7 mi. For a total solar eclipse to occur,
the moon must pass between the sun and Planet X. The moon must also be close enough to Planet X for the
moon's umbra (shadow) to reach the surface of Planet X. Complete parts (a) and (b) below

Answers

The Sun's diameter is 1.075*10²  times the Earth's diameter.

Compare the Sun's and Earth's diameter ?

Sun's Dimensions.The Sun's diameter is equal to 1.4 x 106 km when we multiply its distance by its observed angular diameter (about 0.5 degrees).

This is around ten times as big as Jupiter, the largest planet, and about 100 times as big as the Earth.

The Sun's diameter is times the Earth's diameter.  

We are given the following in the question:

Sun's diameter = 860,000 miles

Earth's diameter = 8000 miles

Comparison of Sun's and Earth's diameter:

sun s diameter / earth diameter

=  860000/8000

8.6 *10(5)/8*10(3)

= 1.075*10(2)

Thus, the Sun's diameter is 1.075*10²  times the Earth's diameter.

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You can model the population of a certain city between the years 1970 and 1955 by the radical function P(x)=80000x−1940√3 . Using this model, in what year was the population of that city 290,000?

Answers

The year the population of that city was 290,000 is 1988.

What year was the population of that city 290,000?

A model function is a mathematical or computational representation of a system or process that is designed to capture its behavior, relationships, and interactions.

The model is p(x) = 80,000 ∛(x - 1940)

Now use p(x) = 290,000and solve for x

290,000 = 80,000 ∛(x - 1940) =

290,000 / 80,000 = ∛(x - 1940)

29/8 = ∛(x - 1940)

x - 1940 = [29/8]³

x - 1940 = 47.63

x = 1940 +  47.63

x = 1987.63

Therefore, the year is 1988

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can someone just try to answer this ?:(

Ima fail

Answers

The compound inequality for the graph shown above include the following:

x < -2.

x > 5.

What is a number line?

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.

Since the first point is at -2 and the arrow points to the left of the number line, it represents the less than (<) inequality symbol and should be written as x < -2.

Additionally, the second point is at 5 and the arrow points to the right of the number line, it represents the greater than (>) inequality symbol and should be written as x > 5.

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1 gallon=4.546 10 litres in gallon is approximately?​

Answers

If 1 gallon = 4.546 litres, then 10 litres in gallon is approximately 2.2 gallons.

1 gallon = 4.546 litres,

∴ 1 litre = [tex]\frac{1}{4.546}[/tex] = 0.2199 gallon

∴ 10 litres = 10 × 0.2199 = 2.199 gallons ≅ 2.2 gallons

Thus, 10 litres in gallon is approximately equal to 2.2 gallons.

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Patients coming to a medical clinic have a mean weight of 207.6 pounds, with a standard deviation of 22.6 pounds. The distribution of weights is not assumed to be symmetric.

Between what two weights does Chebyshev's Theorem guarantee that we will find at least 95% of the patients?

Round your answers to the nearest tenth. Enter the pounds in ascending order.

Answers

Between 105.9 and 309.3 pounds, Chebyshev's Theorem guarantee that we will find at least 95% of the patients.

k = 4.5.

Weight 4.5 standard deviations below the mean is 207.6 − 4.5 (22.6) = 105.9 pounds.

Weight 4.5 standard deviations above the mean is 207.6 + 4.5 (22.6) = 309.3 pounds.

Therefore, at least 95% of patients weigh between 105.9 and 309.3 pounds.

About Chebyshev theorem

In probability theory, the Chebyshev inequality guarantees that for any sample data or probability distribution, nearly all values are close to the mean. Precisely, that no more 1/k2 of the distribution value exceeds the k standard deviation.

Chebyshev's inequality theorem can be used to find the probability range for an unknown distribution based on its mean and variance.

Chebyshev is named after a Russian mathematician, although the first formulation of the inequality was obtained from his colleague, Irénée-Jules Bienaymé. Chebyshev's inequality theorem was introduced without any proof in 1874, which later, in 1884,

Chebyshev's student, Andrey Markov presented a proof. Therefore, in the context of the analysis, the Chebyshev inequality is also expressed in the Markov inequality.

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Lori mixes 1/4 cup of cocoa powder with 3 3/4 cups of silk to make hot cocoa.What is the ratio of cocoa powder to one cup of milk

Answers

Answer:

Step-by-step explanation:

The ratio of cocoa powder to one cup of milk is 1/4 cup of cocoa powder to 3 3/4 cups of milk or 1/4 : 3 3/4 or 1 : 15.

is defined as research that collects information using any kind of numeric and measurable scale and often has limited response options

Answers

Quantitative research is a form of qualitative research that focuses on gathering and evaluating data that can be measured and quantified. This study style use numerical data and statistical approaches to uncover patterns, correlations, and trends in data.

Data is frequently collected through surveys, questionnaires, or standardised tests, and the findings are generally evaluated using statistical software. Response options in quantitative research are frequently constrained and organised, with participants picking from a pre-determined range of answers.

The goal of quantitative research is to produce data that is trustworthy, valid, and generalizable to a broader population. Based on the data acquired, this form of study is frequently used to test hypotheses.

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Please answer all questions (If correct will give brainliest)
1. Prove or Disprove the figure defined by points A,B,C, and D is a rhombus.

2. Prove or Disprove that point (4.00,4.50) lies on circle O centered at the origin.

3. Prove the diagonals of the rhombus ABCD bisect each other.

Answers

The coordinates (4.0 , 4.5) to the center is not the distance of radius

How to show that diagonals of the rhombus ABCD bisect each other?

From the circle formula centered at origin: x² + y² = r²

Where r is the radius of the circle. and by substitution for the various values of x, y and r we have

x² + y² = 6² = 36

Also, substituting the values of the lengths of the line we have

(4)² + (4.5)² = 16 + 20.25 = 36.25 ≠ 36

This proves the diagonals of the rhombus ABCD bisect each other

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British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 330 grams of a copper-silver alloy that is 10% copper by weight? (Round your answers to one decimal place.)

British sterling silver ____________ g
Copper ___________g

Answers

Answer:

British sterling silver =    321.1   grams

Copper =  8.9   grams

========================================================

Work Shown:

x = amount of British sterling silver (in grams)330-x = amount of pure copper (in grams)

The two amounts add to 330 grams total. The x is some number in the interval 0 < x < 330.

7.5% of x = 0.075x = amount of pure copper from the British sterling0.075x+(330-x) = -0.925x+330 = total amount of pure copper

We want to end up with 330 grams of 10% copper, so we want 0.10*330 = 33 grams of pure copper after mixing the two metals.

Set the 33 equal to the expression -0.925x+330 and solve for x.

-----------

-0.925x+330 = 33

-0.925x = 33-330

-0.925x = -297

x = -297/(-0.925)

x = 321.081 approximately

x = 321.1 when rounding to one decimal place

330-x = 330-321.1 = 8.9

-----------

We'll need  321.1   grams of British sterling silver.

We'll also need  8.9   grams of pure copper.

six more than the quotient of a number and 8 is equal to 4

Answers

The required solution of the equation is -16.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given :six more than the quotient of a number and 8 is equal to 4

To solve this, we can convert the statement into an algebraic equation, Express it in an equation:

6+(x/8) = 4

subtracted 6 from both sides,

x/8 = -2

multiplied both sides by 8,

x = -16

Therefore, the required solution of the equation is -16.

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In a sample of size 100 how many observations are below the median? How many are between the median and Q1 (first quartile)? How many are in the IQR? The numbers are listed in the order in which the questions are asked.
Group of answer choices
50, 50, 100
50, 25, 50
50, 75, 25
25, 50, 75

Answers

In a sample of size 100, the median splits the data into two equal parts of 50 observations each. So, 50 observations are below the median and 50 observations are above the median.

The first quartile (Q1) separates the lowest 25% of the data from the rest, so 50 observations are between the median and Q1.

The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and Q1, and represents the range of the middle 50% of the data. Since the IQR contains both Q1 and the median, it encompasses all observations between Q1 and the median,

or a total of 75 observations.

therefore the answer is 25,50,75

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please help asap

• it would mean sm and make my day

Answers

For the given number line plot the inequality obtained is { -∞ < x < -2 and 5 < x < ∞}.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

To represent inequalities on a number line show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.  

An open circle shows it does not include the value.

A closed circle shows it does include the value.

Let the unknown value be x.

The first range is starting form -2 and moving towards -∞.

Since the circle is open it will not include the value.

So the inequality is -∞ < x < -2.

The second range is starting form 5 and moving towards ∞.

Since the circle is open it will not include the value.

So the inequality is 5 < x < ∞.

Therefore, the inequality is { -∞ < x < -2 and 5 < x < ∞}.

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How many solutions does the following system of equations have?

Answers

There are zero number of solutions the system of equations have.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=5/2x+2 ------(I) and 2y=5x+8 ------(II)

Substitute equation (I) in (II), we get

2(5/2x+2)=5x+8

5x+4=5x+8

5x-5x=8-4

Therefore, there are zero number of solutions the system of equations have.

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"Your question is incomplete, probably the complete question/missing part is:"

How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8

Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 2.720​ in., and use a class width of 0.010 in. The screws were labeled as having a length of 2 3/4 in. Click on icon to view the data. Complete the frequency distribution below. Data Table 2.720-1 1-0 1-1 Screw Lengths (inches) 2.753 2.752 2.752 2.735 2.733 2.747 2.751 2.723 2.754 2.751 2.754 2.742 2.748 2.737 2.751 2.752 2.764 2.744 2.744 2.748 2.741 2.762 2.758 2.756 2.747 2.736 2.752 2.736 2.759 2.746 Type integers or decimals rounded to the nearest th Print Done

Answers

The frequency distribution table is given as

Length (in)                      Frequency

2.720  - 2.729                         1

2.730  - 2.739                          5

2.740  - 2.749                          9

2.750 - 2.759                         13

2.760  - 2.769                         2

Given that the sample of the 30 screw lengths

2.753 2.762 2.752 2.735 2.733 2.747 2.751 2.723 2.754 2.751 2.754 2,742 2.748 2.737 2.751 2.752 2.764 2,744 2.744 2,748 2.741 2.762 2.758 2.756 2.747 2.736 2.752 2.736 2.759 2.746

For constructing a frequency distribution :

Lower class limit = 2.720​ in.

Class width = 0.010 in

Frequency Distribution  Table :

Length (in)                      Frequency

2.720  - 2.729                         1

2.730  - 2.739                          5

2.740  - 2.749                          9

2.750 - 2.759                         13

2.760  - 2.769                         2

Total                                        30

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Meryl pays £400 into her sister's South African bank account. How much money did her sister receive if the current exchange rate is £1 = R19,29?​

Answers

The price of one currency in respect to another is referred to as its exchange rate.

What is meant by current exchange rate?

An exchange rate in the world of finance is the price at which one currency will be exchanged for another. The majority of the time, currencies are national ones, but they can also be supra-national ones like the euro or sub-national ones like Hong Kong.

A currency's price in relation to another is known as its exchange rate. You can have fixed or fluctuating exchange rates. While a country's central bank controls fixed exchange rates, the process of supply and demand on the open market controls floating exchange rates.

The rate at which one currency can be exchanged for another between countries or economic zones is known as the exchange rate. It is crucial in assessing trade and capital movement dynamics and is used to calculate the value of various currencies in respect to one another.

Convert the currency:

£ 400 × R 19.29/£2 = R 7,716

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Solve for x: −7 < x − 1 < 8

6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9

Answers

-6 < x < 9

To solve this inequality, you can add 1 to both sides of the inequality to get:

−7 + 1 < x − 1 + 1 < 8 + 1

-6 < x < 9

This inequality is a compound inequality, which is made up of two separate inequalities joined by the word "and".

B-1+3/15 pls help me I’m like stuck on this what’s the variable

Answers

Answer:

Step-by-step explanation:

b= -3

translate the sentence into an equation two less than the product of 6 and a number is 3 .

Answers

Answer:

Equation = (6*3) - 2

Answer: 6x - 2  = 3

Solution

Let x represent the unknown number

The number is multiplied by 6

= (6 × x )

= 6x

two is subtracted from the product

= 6x - 2

The product is equated to 3

= 6x-2= 3

Hence the equation is 6x-2= 3

1kg/2.2lbs = X/165lbs

Answers

The answer is X=165 lbs (or) 74.84 kg.

Solution:

Given,

1kg/2.2lbs = X/165lbs,

So we get 1kg×165lbs= 2.2lbs×X,

By converting kg to lbs ∵ 1 kg= 2.2 lbs,

X=165 lbs.

∴ Hence X=165 lbs

i don’t have a question

Answers

Answer: Oh well how you doing?

Step-by-step explanation:

If needed call prevention hotline... if you know what I mean

Answer:

that’s brazy

Step-by-step explanation:

Any help with this will greatly appreciated! <3
Exercise 1: Your friends are organizing a trip for the upcoming spring break. They are

undecided between visiting a national park or visiting a city in the USA. The probability your

friends decide to visit a national park is .35. If your friends decide to visit a national park, the

probability you will join them is .75. On the other hand, if your friends decide to visit a city in

the USA, the probability you will join them is .40.

a) What is the probability you will join them? (Hint: the appropriate visualization

tool might be helpful).

b) If you end up joining them, what is the probability your friends have decided to

visit a national park?

Answers

A) The probability that you will join them is 0.523;

B)  If you end up joining them, the probability your friends have decided to visit a national park is 0.50.

What is probability?

Note that probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

In the above case, Note that to determine the probability that you will join them, we need to use the formula for conditional probability, which is:

P(A and B) = P(A|B) * P(B)

In this case, A is the event that you join them, and B is the event of your friends deciding to visit either a national park or a city in the USA.

Given the above, we have:

P(join and national park) = P(join|national park) * P(national park) = 0.75 * 0.35

P(join and city) = P(join|city) * P(city) = 0.40 * 0.65

Thus to obtain the probability that you will join them: we must add the two probabilities: P(join and national park) and P(join and city)

⇒ P(join) = P(join and national park) + P(join and city)

= 0.75 * 0.35 + 0.40 * 0.65

= 0.523

Thus, it is correct to state that the probability or likelihood that you join them is: 0.523

B) If you decide to join them, the probability that your friends have decided to go to a national park is determined using the Bayes Theorem.  This theorem is given as:

P(B|A) = P(A|B) * P(B) / P(A)

Where A is the event of you going with them, and B is the event of your friends deciding to go to a national park.

P(national park|join) = P(join|national park) * P(national park) / P(join)

= 0.75 * 0.35 / 0.525

= 0.5019120459
[tex]\approx[/tex] 0.50

Thus, it is correct to state that the probability your friends have decided to visit a national park is 0.57 if you eventually join them.

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find(-3) if f(x)=6x-8

Answers

Given:-

[tex] \: [/tex]

[tex] \rm \: f(x) = 6x - 8 \: ... eqⁿ[/tex]

[tex] \: [/tex]

To find:-

[tex] \: [/tex]

[tex] \rm \: {f ( -3 ) = ?}[/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \rm \: f(x) = 6x - 8[/tex]

[tex] \: [/tex]

now , put the value of x= -3 in given eqⁿ ∼

[tex] \: [/tex]

[tex] \rm \: f( - 3) = 6( - 3) - 8[/tex]

[tex] \: [/tex]

[tex]\rm \: f( - 3) = - 18 - 8 [/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{\rm \orange{f( - 3) = -26}}}[/tex]

[tex] \: [/tex]

hope it helps! :)

A metallurgist has one alloy containing 35% titanium and another containing 69% titanium. How many pounds of each alloy must he use to make 53 pounds of a third alloy containing 40% titanium?

Answers

Answer:

Let x be the amount of alloy 1 used, and y be the amount of alloy 2 used.

We know that:

x + y = 53 (total weight of alloy 3 is 53 pounds)

0.35x + 0.69y = 0.40(53) (40% of the alloy 3 is titanium)

We can use the first equation to solve for one of the variables in terms of the other:

y = 53 - x

Substitute this expression into the second equation:

0.35x + 0.69(53-x) = 0.40(53)

0.35x + 36.97 - 0.69x = 21.2

-0.34x = -15.77

x = 46.44 pounds of alloy 1.

y = 53 - x = 6.56 pounds of alloy 2.

the first 4 terms in a sequence are 8,5,2,-1... What is the recursive equation?

Answers

The equation is -3n+11
Hope this helps

A box contains 3.69 g of supplies. How many milligrams more need to be added to bring the total weight up to an even 10,000 mg?

To make an even 10,000 mg of supplies, _____ mg need to be added.

Answers

Answer:

To find out how many milligrams more need to be added to bring the total weight of the supplies to 10,000 mg, we can subtract the current weight from 10,000:

10,000 - 3.69 g = 10,000 - 3,690 mg

Answer:

6,310 mg more need to be added to bring the total weight of the supplies to 10,000 mg.

Use the distributive property to remove the parentheses. -(-2y-4u+2)

Answers

Answer:

below

Step-by-step explanation:

This is the same as    (-1)(-2y-4u+2)   = 2y + 4u - 2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Place theindicated product in the proper location on the grid.
(2a²b) 4

Answers

The simplified exponential notation of the given expression is 9a²b

What is an exponential expression?

An expression in the form of a²  is called exponential expression.

The simplified exponential notation of the given expression is 18 * a³ b² / 2ab

The given expression is: 18a³b² / 2ab

We can write the above expression as:

(18/2 ) (a³ / a ) (b² / b )

We know that

aˣ / aⁿ= aˣ⁻ⁿ

a³ / a = a³⁻¹ = a²

b² / b = b²⁻¹= b

So,  ( 18/2) ( a³/a) (b²/ b) = 9 a²b

Hence, The simplified exponential notation of the given expression is 9a²b

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I need help with this x4 + 2x3 + x + 2

Answers

The factor of the expression could be [tex](x + 1)(x + 2)((x^2 -x + 1)[/tex]

What is factorization?

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given a expression as;

[tex]x^4 + 2x^3 + x + 2[/tex]

Thus,

[tex](x^4 + 2x^3) + (x + 2)[/tex]

Factor out x^3

[tex]x^3(x + 2) + (x + 2)[/tex]

Then;

[tex](x^3 + 1)(x + 2)[/tex]

Therefore, the factor of the given expression is;

[tex](x + 1)(x + 2)(x^2 -x + 1)[/tex]

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Other Questions
similar to the hospital schedule in example 2.9, suppose that an operating room needs to handle three knee, four hip, and five shoulder surgeries. a. how many different sequences are possible? b. how many different sequences have all hip, knee, and shoulder surgeries scheduled consecutively? c. how many different schedules begin and end with a knee surgery? true or false? [1,5] = { 1, 2, 3, 4, 5 }. Which of the following vowels require that the mouth shift position during production of the sound? Select all that apply. /oi/ /ou/ Suppose that Glitter Gulch, a gold mining firm, increased its sales revenues on newly mined gold from $100 million to $200 million between one year and the next. Assuming that the price of gold increased by 100 percent over the same period, by what numerical amount did Glitter Gulchs real output change? If the price of gold had not changed, whatwould have been the change in Glitter Gulchs real output? What unspoken rules exist for teenagers today?What rules dictate the behavior of young men and women in relationships today?Identify a situation in which the rules have been clearly violated.Why do these rules exist?Now compare these rules to dating in the 1500s and the expectations there.No linksNeed ASAP Can anyone factor out the GCF of the 3 questions? An Exception-like class that represents conditions from which there is generally no reliable recovery is the class? Error What is the area of triangle ABC? Which of the following is the major contributing factor to phenotypic differences between individuals of the same species? Variation in amino acid sequences Variation in regulatory sequences Variation in splicing Variation in novel genes Variation in amino acid sequences what importance is the check printing to the bank? during the collision, how significant was friction? consider that any impulse effects from friction would be based upon the magnitude of the friction and the time the friction has to act. What is the energy change when the temperature of 12.4 grams of solid silicon is decreased from 38.4 C to 22.1 C ? how does the variation in types and resources of interest groups affect their ability to influence elections and policy making how many free variables does each augmented matrix have? Dierdre thinks it makes sense for women to be caretakers in the home because she believes women are more nurturing and communal than men. What is MOST likely Dierdres view of the roles of men and women in society? A. genetic B. matriarchal C. traditional D. unconscious which three of the following statements about autotrophs and heterotrophs on earth are true?select 3 correct answer(s)question 6 options:the majority of autotrophs on earth require aerobic respiration in order to survive.heterotrophs are dependent on autotrophs to generate o2 from h2o in order to support aerobic respiration.heterotrophs evolved on earth before autotrophs.heterotrophs depend on autotrophs for conversion of light energy to chemical energy.there are no metabolic differences between autotrophs and heterotrophs.heterotrophs that do not eat autotrophs every day will die in a short time.autotrophs depend on heterotrophs to oxidize sugar and release co2 into the atmosphere.the majority of heterotrophs on earth do not use aerobic respiration as a form of energy conversion. in exercise 22, use mm proposition i to find the price per share of equity under each of the two proposed plans. what is the value of the firm? percentage rent fields are only available when _________ is selected as the property type. the ""previous school year"" being referred to is the 201011 year. what was the total number of shootings during the 201011 school year? a wood block has a mass of 12.4 g and a density of 45.02 g/cm^3. find the volume of the block in cm^3.