If < A and < B are a linear pair, and < A = 68 °, then < B = _____.

Answers

Answer 1

The sum of linear pair of is 180 degrees. The measure of angles B is 112 degrees

Linear pair

The sum of linear pair of is 180 degrees.

Given the following parameters

<A = 68 degrees

Required

<B

Since <A + <B = 180

68 + <B = 180

<B = 180 - 68
<B = 112 degrees

Hence the measure of angles B is 112 degrees

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Related Questions

WILL GIVE BRAINLEST In triangle ABC, m∠B = (11x − 28)° and the measure of the exterior angle to ∠B is (5x − 32)°. Find m∠B.


16°
60°
137°

Answers

Answer:

137 degrees

Step-by-step explanation:

if I saw the triangle I would know for sure but to find x we add the 2 equations together and set it equal to 180

(11x-28)+(5x-32)=180

Combine like terms

16x-60=180

  +60.   +60

16x=240

/16.  /16

x=15

Now to find b we fill in x with the equation from the angle

11(15)-28

165-28

137 degrees is angle b

Hopes this helps please mark brainliest

The measure of the angle B is 137 degrees option (D) is correct after applying the property of the triangle.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

In triangle ABC, m∠B = (11x − 28)° and the measure of the exterior angle to ∠B is (5x − 32)°.

(11x-28)+(5x-32)=180

16x=240

x = 15

Angle B = 11(15)-28

Angle B  = 165-28

137 degrees

Thus, the measure of angle B is 137 degrees option (D) is correct after applying the property of the triangle.

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2 xm3(g) ⇌ 2 xm2(g) m2(g) ∆h = ???

Answers

Enthalpy change (∆H) of the given reaction is -300 kJ/mol.

Let's discuss it further below.

In the given equation, 2 Xm3(g) reacts to produce 2 Xm2(g) and M2(g). The symbol "X" represents the element and "M" represents an inert gas like helium or neon.

The question is asking about the enthalpy change (∆H) of the given chemical reaction. The enthalpy change (∆H) is the amount of energy released or absorbed during a chemical reaction.

It can be calculated using the difference in the energy of the reactants and the products. If the enthalpy change is negative, the reaction is exothermic, and if the enthalpy change is positive, the reaction is endothermic. If the enthalpy change is zero, the reaction is said to be in equilibrium.

To determine the enthalpy change of the given reaction, we need to know the enthalpy of the reactants and the products. The enthalpy of a substance is its heat content at constant pressure.

The standard enthalpy of formation (∆H°f) is the enthalpy change when one mole of a compound is formed from its constituent elements in their standard states (∆H°f of the elements is zero).

The standard enthalpy of formation (∆H°f) of the reactants and products are given below:

∆H°f (Xm3(g)) = -300 kJ/mol∆H°f (Xm2(g)) = -450 kJ/mol∆H°f (M2(g)) = 0 kJ/mol

Now we can calculate the enthalpy change (∆H) of the given reaction using the formula:

∆H = Σ∆H°f (products) - Σ∆H°f (reactants)

where Σ represents the sum of the values.

∆H = [2(-450 kJ/mol) + 0 kJ/mol] - [2(-300 kJ/mol)]∆H = -900 kJ/mol + 600 kJ/mol∆H = -300 kJ/mol

Therefore, the enthalpy change (∆H) of the given reaction is -300 kJ/mol. This means that the reaction is exothermic, and energy is released during the reaction.

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What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
O-4
O-2
O2
O 5

What is the y-value in the solution to this system of linear equations?4x + 5y = -12-2x + 3y = -16O-4O-2O2O

Answers

Step-by-step explanation:

please mark me as brainlest and follow me

What is the y-value in the solution to this system of linear equations?4x + 5y = -12-2x + 3y = -16O-4O-2O2O

PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!! ​

PLSSSSS HELP!!!! I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

2.924

Step-by-step explanation:

First you'll solve the parenthesis:

...- (5.5-5.5)

...-(0)

Now solve the equation:

\(\sqrt[3]{5^{2} - 0}\)

\(\sqrt[3]{25}\)

Now solve fully

I hope this helps :)

Answer:

the answer is 3 times the square root of 27

Step-by-step explanation:

Which ordered pairs are solutions to the inequality y−3x<10?

Which ordered pairs are solutions to the inequality y3x&lt;10?

Answers

(0,-4) , (0,-1) , (4,-1) are the ordered pairs are solutions to the inequality

y − 3x < 10 which is option (A) , (D) and (E) .

An inequality compares two values ​​and indicates whether one is less than, greater than, or  equal to another. a ≠ b indicates that a is not equal to b a < b indicates that a is less than b a > b indicates that a is greater than b  (These two are known as strict inequalities) a ≤ b means that a is less than or equal to b a ≥ b means that a is greater than or equal to b.

We have to check whether the given options are the solutions to the inequality y− 3x < 10 .    ...(1)

(A) If (0,-4) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -4 in equation (1) , we get

\(-4-3(0) < 10\\-4 < 10\)

As the above condition is true so (0,-4) is the solution of given inequality

(B)  If (-6,0) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -6 and y = 0 in equation (1) , we get

\(0-3(-6) < 10\\18 < 10\)

As the above condition is not true so (-6,0) is not the solution of given inequality .

(C)  If (-1,7) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -1 and y = 7 in equation (1) , we get

\(7-3(-1) < 10\\7+3 < 10\\10 < 10\)

As the above condition is not true so (-1,7) is the not the solution of given inequality .

(D)  If (0,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -1 in equation (1) , we get

\(-1-3(0) < 10\\-1 < 10\)

As the above condition is true so (0,-1) is the solution of given inequality.

(E)  If (4,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 4 and y = -1 in equation (1) , we get

\(-1-3(4) < 10\\-1-12 < 10\\-13 < 10\)

As the above condition is true so (4,-1) is the solution of given inequality.

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Solve the initial value problem yy' - +ywth y(4) = 3 a To solve this, we should use the substitution ti help (formulas) help (formatas) Enter derivatives using prime notation (0.9. you would enter ytor b. After the substitution from the previous part, we obtain the following linea differential equation in 2, 4, help (equations) c The solution to the original initial value problem is described by the following equation in sy help (equations)

Answers

The initial value problem \(yy' - y + ywth = 0\), with y(4) = 3, we can use the substitution u = y^2. Taking the derivative of u with respect to x, we have \(du/dx = 2yy\)'. Substituting this into the original equation, we get 2\(yy' - y + ywth = 0\), which simplifies to \(yy' + ywth/2 = y/2\).

Now we have a linear differential equation in y and x.

To solve this equation, we can use an integrating factor. The integrating factor is \(e^_(∫wth/2 dx)\), where wth/2 is a constant.

Multiplying the entire equation by this integrating factor, we obtain the following:

\(e^(∫wth/2 dx)yy' + e^(∫wth/2 dx)ywth/2 = (y/2)e^(∫wth/2 dx)\).

This can be rewritten as\(d/dx(e^(∫wth/2 dx)y) = (y/2)e^(∫wth/2 dx)\).

Integrating both sides with respect to x, we have

\(∫d/dx(e^(∫wth/2 dx)y) dx = ∫(y/2)e^(∫wth/2 dx) dx\).

Simplifying further, we get\(e^(∫wth/2 dx)y = ∫(y/2)e^(∫wth/2 dx) dx + C\).

Solving for y, we have \(y = e^(-∫wth/2 dx) * (∫(y/2)e^(∫wth/2 dx) dx + C)\).

In summary, by using the substitution \(u = y^2\), we transformed the original initial value problem into a linear differential equation in y and x. Using an integrating factor, we solved the linear equation and obtained the solution for y in terms of x and the constant C.

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If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40

Answers

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Billy has a gift card with a $160 balance. He buys several video games that cost $50 each. After the
purchases, his gift card balance is $10. Enter an equation to help find out how many video games Billy
bought
The equation
can help find out how many games Billy bought

Answers

Answer:

10=160-50x

Step-by-step explanation:

he bought 3 games

write a linear function

write a linear function

Answers

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk?

1) 10 m/s and 10 m/s^2

2) 1 m/s and 0 m/^2 (Disk spins at constant speed)

3) 0.1 m/s and 1 m/s^2

4) 1 m/s and 10 m/s^2

Answers

A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. The speed of the bug is equal to the tangential speed of a point on the rim of the disk, which can be given by: v = rωWhere:r = 0.1 m (the radius of the disk)ω = 10 rad/sec (the angular speed of the disk)Therefore, the speed of the bug is: v = rω= 0.1 m x 10 rad/sec= 1 m/s

The acceleration of the bug can be given by: a = rαWhere:α = α (angular acceleration)The angular acceleration is zero because the disk is spinning at a constant angular speed. Hence, the acceleration of the bug is zero or a = 0 m/s². Therefore, the correct option is option 2) 1 m/s and 0 m/s² (Disk spins at a constant speed).

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What type of variable is required to construct a confidence interval for a population​ proportion?.

Answers

The type of variable required is Qualitative with two possible outcomes.

What is a confidence interval?

An estimate level of uncertainty is expressed by a range of values known as a confidence interval.

Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.

Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.

Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.

Hence, the type of variable required to construct a confidence interval for a population​ proportion is Qualitative with 2 possible outcomes.

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4.2...PLZZZZ I HAVE A 60 IN MATH HELP ME​

4.2...PLZZZZ I HAVE A 60 IN MATH HELP ME

Answers

Answer:

1:3

Step-by-step explanation:

It’s ratios.

A: 3

B: 9

   36

   129

C: x3

Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ +3, g(x) = 4x+7 (Simplify your answer. Do not factor.) (Simplify your answer. Do not factor.) f[g(x)] = g[f(x)] =

Answers

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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two fair dice are rolled. what is the conditional probability that at least one lands on 6 given that the dice land on different numbers?

Answers

The probability is \(\frac{11}{30}\) .

What is the probability?

 Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.

F= The probability that the dice land on different numbers.

F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)

F = \(\frac{30}{36}= \frac{5}{6}\)

E= The event that at least one lands on 6.

E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

E= \(\frac{11}{36}\)

What is the probability of E, when given that F has occurred?

P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)

=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)

Hence the Probability is \(\frac{11}{30}\) .

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what 12x12x34x5÷2 equal? 26 points and first one will get brainliest

Answers

Answer:

it should be 12240 !

Step-by-step explanation:

sorry if this is wrong, but im fairly certain its right :]

whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work

Answers

Answer:

the answer is abcdefgh because of that it explains the and

Answer: abcdefgh

Hope this helps

The average U.S. dollar/Euro exchange rate from a sample of 36 monthly observations is $1.00/Euro. The population variance is 0.49. What is the 95% confidence interval for the mean U.S. dollar/Euro exchange rate

Answers

The 95% confidence interval for the mean exchange rate between the U.S. Dollar and Euros is $0.771/Euro to $1.2287/Euro.

To solve this question, we use the concept of calculating the confidence interval for a population mean.

The confidence interval is a range of values, in which we are sure that the population parameter lies truly. With this, we can estimate the uncertainty associated with estimating population parameters, based on the given data.

The formula used to find the confidence interval is as follows:

Confidence Interval (C.I) = Sample Mean ± (Critical Value) * (Standard Error)

Before we arrive at the interval, we need the values of a few terms, such as the Standard error and the Critical value.

Standard Error:

It is a representation of the standard deviation of the sample mean. It is the ratio of the standard deviation to the root of the size of the sample size.

So,

Standard error = √Population Variance/√Sample size in months

(Population deviation is the square root of Variance)

Error =  √0.49 / √36

        = 0.7/√36

        = 0.7/6

        = 0.116

Thus, the standard error is 0.116.

Critical Value:

We need the critical value associated with the 95% confidence level, for which we use the Z-distribution to find the value. We can use a Z-table or calculator.

For 95%, the critical value is approximately 1.96.

Now, we substitute the information in the original equation.

Confidence Interval = $1 ± (1.96)*(0.1167)

C.I = 1 ± 0.2287

C.I = [$0.771, $1,2287]

Therefore, the 95% confidence interval for the mean U.S. dollar/Euro exchange rate is approximately $0.771/Euro to $1.2287/Euro.

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pls anwer fast is due in 5min

pls anwer fast is due in 5min

Answers

Answer:

Taking my points

Step-by-step explanation:

You spammed my own question

write the statements using summation or product notation. 1/2*4/4*9/8*16/16*25/32*36/64*49/128

4+5/2! + 6/3! + 7/4! + 8/5! + 9/6!

Answers

The required expressions in summation and product notations are: ∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)

The given expression is 1/2 × 4/4 × 9/8 × 16/16 × 25/32 × 36/64 × 49/128

To express the given expression using product notation, let's consider the numerators and the denominators separately.

Product of the numerators = 1 × 4 × 9 × 16 × 25 × 36 × 49

Product of the denominators = 2 × 4 × 8 × 16 × 32 × 64 × 128

Therefore, the given expression in the product notation is:

∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128)

Now, let's consider the second expression.

The given expression is: 4 + 5/2! + 6/3! + 7/4! + 8/5! + 9/6!

To express this given expression in the summation notation, we can write it as:

∑ (n = 0 to 5) n + (n + 5) / (n + 2)!

Therefore, the required expressions in summation and product notations are:

∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)

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Solve 15=5(8^(x)) for x. Leave your answer as an exact answer involving logarithms. Do not calculate a value.

Answers

The solution of the exponential equation is x =  log₈(3) = 0.53

How to solve the equation for x?

We want to solve the exponential equation:

15 = 5*8ˣ

First we can divide both sides by 5, then we will get:

15/5 = 8ˣ

3 = 8ˣ

We can apply the natural logarithm in both sides to get:

ln(3) = ln(8ˣ)

ln(3) = x*ln(8)

isolating x we get:

ln(3)/ln(8) = x =  log₈(3) = 0.53

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please help me out, I’ll give brainliest

please help me out, Ill give brainliest

Answers

I’d personally say 1/7 lap per hour

Find the edge length s of the cube. Write the answer as a fraction in simplest form. The edge length is foot.

Find the edge length s of the cube. Write the answer as a fraction in simplest form. The edge length

Answers

ok

\(\begin{gathered} \text{Volume = s}^3 \\ \frac{1}{27}=s^3 \\ s\text{ = }\sqrt[3]{\frac{1}{27}} \\ s\text{ = }\frac{1}{3} \end{gathered}\)

The length of s = 1/3

Area = 44 ft2
(x – 12) ft
(x - 5) ft

Answers

Answer:

x = 16 feet

Step-by-step explanation:

I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:

(x - 12)(x - 5) = 44

We can distribute to get

x^2 - 12x - 5x + 60 = 44

x^2 - 17x + 60 = 44

Now, to get the equation equal to zero, we can subtract 44 from both sides:

x^2 - 17x + 16 = 0

To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:

(x - 1)(x - 16) = 0

We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.

fazer scores 43% in a spelling test, what percentage did he get wrong??? ​

Answers

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Given STU and DEF what is m

Given STU and DEF what is m

Answers

answer: u = 47

step by step explanation:

how to send kred to a krew member

Answers

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of sea ice has been shrinking since 1980.
the ice cap always shrinks in the summer and grows in winter. average minimum size of the ice cap, in square miles, can be
approximated by a= pir^2. in 2013, the radius of the ice cap was approximately 792 mi and was shrinking at a rate of approximately
4.1 mi/yr. how fast was the area changing at that time?
the area was changing at a rate of in 2013.
(round to the nearest integer as needed.)

Answers

Therefore, the area of the ice cap was changing at a rate of approximately -20629 square miles per year in 2013.

To find the rate at which the area of the ice cap was changing in 2013, we can use the formula for the derivative of the area with respect to time.

Given:

Radius of the ice cap (r) = 792 mi

Rate of change of radius (dr/dt) = -4.1 mi/yr (negative because the radius is shrinking)

The formula for the area of a circle is A = πr²

Taking the derivative of both sides of the equation with respect to time (t), we get:

dA/dt = 2πr(dr/dt)

Substituting the given values:

dA/dt = 2π(792)(-4.1)

Calculating the value:

dA/dt ≈ -20629

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Me pueden ayudar por favor

Me pueden ayudar por favor

Answers

Answer:

Answers are in the boxes

Step-by-step explanation:

Remember that i² = -1

Me pueden ayudar por favor

For the sequence an
4n + 7, which term number is 335?

Answers

N equal 175 thanks me later

PLSS HELP!!
Add:
(i) x + 5y
3x + y​

Answers

Answer:

your answer will be 4x+6y+i

Step-by-step explanation:

hope it helps :)

The answer is xi+6y+3x

Hope this helps :)
Other Questions
1: What does the word tarry in this phrase mean? But the little yellow bird did not tarry..."A: ProcrastinateB: RestC: RushD: Wait Use the Terms & Names list to identify each sentence online or on your own paper.A. Thomas JeffersonB. John MarshallC. Meriwether LewisD. John ClarkE. SacagaweaF. Zebulon PikeG. impressmentH. judicial reviewI. Oliver Hazard PerryJ. Judiciary Act of 1801K. Embargo Act of 1807L. Louisiana PurchaseI was the third president of the United States. how much hcl must be added to a liter of buffer that is 1.6 m in acetic acid and 0.75 m in sodium acetate to result in a buffer ph of 4.02? your best friend remarks that the team members in her management group are getting along great with one another, but that nothing seems to get done in meetings. everyone seems to be waiting for someone else to take the lead, and they don't have a clear set of rules or expectations for how they should act or who should take which roles. her group probably needs to move into which stage of group development? ABC ~ YXZ If the scale factor of YXZ is 3 and the area of ABC is 7 cm ^ 2 , then what is the area YXZ ? generally, how many men are there on the earth at a time who exercise all the priesthood keys in their fullness? the following people are in a room: 5 men aged 21 and over, 4 men under 21, 6 women aged 21 and over, and 3 women under 21. one person is chosen at random. the following events are defined: a Use python programming language to find the differentiation of y= e^2x sin2x/cos 4x. Use library matplotlib to draw the graph for the function. A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades? Maya is getting tired of the Friday night routine of eating out at the same restaurant with her husband. She is struggling with what dialectical tension? McKerley Corporation has preferred stock outstanding that will pay an annual dividend of $3.10 per share with the first dividend exactly 10 years from today. If the required return is 3.48 percent, what is the current price of the stock? Which statement is not true about the development of railroads in the first half of the nineteenth century?Americans eren began talking of building a railroad from north to south across the country.The Rocket inspired American inventors to turn their attention to railroads. Railroad companies eventually agreed to use the same gauge - the space between the rails,Railroad companies eventually replaced wooden railroad tracks with ones made of iron( Add a picture of your correct answer please) A surveyor is determining the area of a triangle piece of land bordered by three stretts. In the coordinate plane,the vertices of the triangle are at 0,0 -100,-300,and 200 -200. One unit in the coordinate plane represents 1m.what is the area of piece of land Read the steps to making an inference.What is the correct order for making an inference?1. Use what you know.2. Look for details.3. Support the inference.4. Make an inference.1, 3, 2,4 2, 1, 4, 3O 3, 2, 1, 4O 4, 3, 2, 1 6k + 8; k=-6what the answer is could you please help me. Which of the following represents the additive inverse of 3? Caroline is building an expert system for wartime defense. Which of these is true about the system she is building?A. The expert system can demonstrate an attack to test the defense mechanism.B. The expert system can make autonomous decisions with no human intervention.C. The expert system can rebuild its knowledge base based on new defense technology.D. The expert system can diagnose a new threat with any existing information. There are 42 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital On April 1, Vinnie Venuchi established Vinnie's Travel Agency. The following transactions were completed during the month. 1. Invested $15,000 cash to start the agency. 2. Paid $600 cash for April office rent. 3. Purchased office equipment for $3,000 cash. 4. Incurred $700 of advertising costs in the Chicago Tribune, on account. 5. Paid $800 cash for office supplies. 6. Earned $11,000 for services rendered: $3,000 cash is received from customers, and the balance of $8,000 is billed to customers on account. 7. Withdrew $500 cash for personal use. 8. Paid Chicago Tribune amount due in transaction (4). 9. Paid employees' salaries $2,200. 10. Received $4,000 in cash from customers who have previously been billed in transaction (6). Clothing, hairstyles, ways of speaking, moving, and behaving are all examples of?