If y=x+2 we’re changed to y=x-1, how would the graph of the new function compare with the first one?

Answers

Answer 1

The graph of the new function compared to the first one will be shifted down.

Define vertical translation.

Vertical translation describes the movement of a function graph upward or below. The function's form is preserved in this case. The graph moving or shifting along the y-axis is another name for it. Each point on the graph moves k units vertically during vertical translation, and the graph is said to have translated k units.

The two functions are

f(x) = x + 2

g(x) = x - 1

You can see that all you need to do to transform f into g is just take 3 off of it.

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

= x + 2 - 3

= x - 1

= g(x)

Every transformation, such as f(x) f(x) + k, now produces a vertical translation, which is translated upward if k > 0 and downward if k 0. The correct response is C since the function is translated three units down in our situation where k = -3.

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The complete question is:

"If y = x + 2 were changed to y = x - 1, how would the graph of the new function compare with the first one?

A. It would be shifted up.

B. It would be shifted left.

C. It would be shifted down.

D. It would be less steep."


Related Questions

PLEASE I NEED HELP I WILL GIVE YOU BRAINLIEST
in the graph of the inequality x-2y (less than or equal too) 4, which is a value for x on the boundary line and the x axis
4
-2
2
-4

Answers

The value of x on the boundary line and the x axis is found as 4.

Explain the term inequality?In mathematics, "inequality" refers to a relationship among two expressions and values that is not equivalent to each other. Therefore, inequality emerges from a lack of balance.When two components are equal, we use the sign "=," and if they are not equal, we use the symbol "," which stands for "not equal."

For the given question,

The graph of inequality  x-2y ≤ 4 is drawn.

Consider the graph,

The straight lien formed by the graph touches the x coordinate axis at (4,0).

Thus, the value of x on the boundary line and the x axis is found as 4.

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if you have string of length 50 cm, what are the dimension
of the rectangle of maximum area that you can enclose with your string?
expline your reasoning. what about string of length K cm?

Answers

The dimension of the rectangle of maximum area that you can enclose with the string is 12.5 x 12.5

n let x = the length of one side of the rectangle and y = the length of the other side of the rectangle.

The area is:

A = xy

and the perimetere is the string of length 50 cm

50 = 2(x + y) Solve this in terms of y. Divide both sides by 2.

25 = x + y By Subtract x from both sides.

25-x = y Now substitute this into the equation for the area.

A = x (25 - x) Simplify.

A = 25x - x²

the general form of quadratic equation: ax² + bx + c

x is given by -b/2a

Here the equation is A = -x² + 25x

, a = -1, b = 25, and c = 0

so we can find the x-coordinate of the vertex by -25/2(-1) = 12.5

So the length (x) of the rectangle must be 12.5 cm to get the maximum area.

But what about the width (y)?

Since the perimeter is 50 cm and this is twice the (length + width), the (length + width) is 25 cm, so the width is 25 cm - the length.

x + y = 25

12.5 + y = 25

y = 12.5

So, we end up with x (the length) = 12.5 cm and y (the width) = 12.5 cm.

And this, of course, is a square whose sides are 12.5 cm

If the perimeter were k cm,

2(x + y) = k

x + y = k/2

x + x = k/2 (as x = y)

x = k/4

x = k/4, y = k/4

Therefore,  the dimension of the rectangle of maximum area that you can enclose with the string is 12.5 x 12.5

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Marko has $22. He needs at least $42 to go to a concert. How much more money does Marko need?

Answers

Marko needs 20 more dollars to go to the concert

Marko needs the amount of money which would be $20 to go to a concert.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Marko has $22. He needs at least $42 to go to a concert.

We have to determine the required amount of money Marko

the required amount of money = cost of the concert - he has the amount

the required amount of money = $42 - $22

Apply the subtraction operation, and we get

the required amount of money = $20

Therefore, Marko needs the amount of money that would be $20.

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Pls help!! Trying to do asap! First answer will get brainleist

Answers

Answer:

84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let, the dimension of cuboid are l=5x,b=4x and h=2x

Now, the surface area of cuboid =2(5x×4x+4x×2x+2x×5x)=76x2

Now,

76x2=1216

x2=16

x=4

Dimensions of cuboid are,

l=5x=5×4=20cm,b=4x=4×4=16cm

h=2x=2×4=8cm

Volume of cuboid=l×b×h=20×16×8=2560cm3

Hence, this is the answer.

can you help me find the points for this question? And how to solve it?

Answers

The line segment has a length of 13 units. (Correct choice: D)

How to determine the length of a line segment

According to Euclidean geometry, any line can be constructed by the locations of two distinct points on Cartesian plane. In this question we must determine the length of the line segment by means of Pythagorean theorem, whose formula is shown below:

l = √(x² + y²)

Where:

l - Length of the line segment.x - Horizontal length of the line segment.y - Vertical length of the line segment.

First, determine the horizontal and vertical lengths of the line segment:

x = 12, y = 5

Second, determine the length of the line segment:

l = √(12² + 5²)

l = √169

l = 13

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You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with an expected return of 8 percent. Your goal is to create a portfolio with an expected return of 12.4 percent. All money must be invested. How much will you invest in stock X? A. $800B. $1,200C. $4,600D. $8,800E. $9,200

Answers

The money invested in stock X is $8,800.

Given,

Total investment in stock portfolio=$10000

Expected return from stock X=13%=0.13

Expected return from stock Y=8%=0.08

Expected return from portfolio=12.4%=0.124

The portfolio return is calculated by taking the weighted average of individual stock returns.

Let x represent the portfolio weightage of stock X.

1-x is the portfolio weightage of stock Y.

money invested in stock X be

0.124=0.13x+0.08(1-x)

0.124=0.13x+0.08-0.08x

0.124-0.08=0.05x

0.044=0.05x

x=0.88

money invested in stock X=0.88*10000=$8800

Thus, the money invested in stock X is $8,800.

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a measure of the long-run average value of a random variable used to represent the central location of a probability distribution is called a(n) .

Answers

The measure of the long -run average value of a random variable used to represent the central location of a probability distribution is called an expected value E(x).

As given in the question,

Reason with explanation :

The Mean represents the central location of the random variable.It represent the weighted average of the value taken by X.Weight represents the probability distribution.The expected average value of the many distributed value.The average value of a random variable to represents the central location is called expected value.

Therefore, the measure of the long run average value of a random variable representing central location of the probability distribution is called the expected value.

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Linear relationship.

Answers

The slope value of the linear relationship tells us how much Austin pays to his friend weekly, which is: $8.

How to Find the Slope of a Linear Relationship?

A linear relationship between two variables, x and y, can be defined by the equation, y = mx + b, where the value of m is the slope and b is the y-intercept or starting value.

If we have a table that represents a linear relationship between two variables, x and y, what we need to do is to use two pairs of values from the table to find the change in y / change in x.

In this context, L = amount Austin owes his friend for t weeks, so the slope will be the amount Austin pays to his friend every week = change in L / change in t.

Using two pair of values from the table, (1, 32) and (4, 8):

Slope (m) = change in L / change in t = (32 - 8) / (1 - 4)

Slope (m) = 24/-3

m = -8

Therefore, the amount Austin will be paying to his friend weekly would be $8.

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What does the equation look like after you combine like terms?

−3x + 2 − 4x = 16


7x+2=16

x+2=16

−x+2=16

−7x+2=16

Answers

Answer:

it'll look like the last one -7x + 2 = 16

-3x + 2 - 4x = 16
-7x + 2 = 16 because the only like terms on the left side of the equation are -3x and -4x which when combined make -7x.

The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.

Answers

Answer:

Step-by-step explanation:

Correct option is A)

HELP ASAP
50 POINTS!! + WILL GIVE BRAINLEIST

Answers

Answer:

Step-by-step explanation:

2+2+4

a ball of radius 14 has a round hole of radius 8 drilled through its center. find the volume of the resulting solid

Answers

By using the volume of sphere, it can be calculated that

Volume of the sphere after the hole is drilled = [tex]352\sqrt{33} \pi[/tex]

What is volume of sphere?

Volume of sphere is the total space taken by the sphere.

If r is the radius of the sphere, then volume of the sphere is

[tex]v = \frac{4}{3} \pi r^3[/tex]

Radius of the ball = 14

Radius of the ball after the hole is drilled = 8

By Pythagoras Theorem,

Height of the ball after the hole is drilled =[tex]\sqrt{14^2 - 8^2}[/tex] = [tex]\sqrt{132}[/tex]

Volume of the ball after the hole is drilled = [tex]\frac{4}{3} \pi (\sqrt{132})^3[/tex]

                                                                           = [tex]\frac{4\pi \times 132 \times 2\sqrt{33}}{3}\\352\sqrt{33} \pi[/tex]

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in a science classroom, when labs are performed, students are seated at lab tables. if the teacher assigns 2 students to each lab table, 4 additional lab tables will be needed to seat all of the studetnds. if the teacher assigns 4 students to each lab table, 4 lab tables will not be used. how many students are in the science clas

Answers

Answer: 16 students

Step-by-step explanation:

2x + (2•4) = 4x

2x + 8 = 4x

-2x -2x

8 = 2x
(Divide by 2 on both sides)

vvv

2x/2= x

8/2 = 4


x = 4


(substitute 4 in for x)

2(4) + 8 = 4(4)

8+8 = 16

16 = 16

Factorise the following: a) x² + 6x + 8 b) x²-9x + 18 c) x² - 8x-9 d) x² + 6x-27​

Answers

a) To factorize this expression, we need to find two numbers that multiply to give 8 and add to give 6. The two numbers that fit this description are 4 and 2, so we can write the expression as x² + 6x + 8 = (x + 4)(x + 2).

b) To factorize this expression, we need to find two numbers that multiply to give 18 and add to give -9. The two numbers that fit this description are -6 and -3, so we can write the expression as x²-9x + 18 = (x - 6)(x - 3).

c) To factorize this expression, we need to find two numbers that multiply to give -9 and add to give -8. The two numbers that fit this description are -3 and 3, so we can write the expression as x² - 8x-9 = (x - 3)(x + 3).

d) To factorize this expression, we need to find two numbers that multiply to give -27 and add to give 6. The two numbers that fit this description are -9 and 3, so we can write the expression as x² + 6x-27 = (x + 9)(x - 3).

one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?

Answers

The average speed in miles per hour during her drive that morning is 43.5 miles per hour   .

In the question ,

it is given that ,

the distance between home to freeway entrance is = 0.6 miles

the distance between freeway entrance to freeway exit is = 15.4 miles

the distance between freeway exit to workplace is = 1.4 miles

So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles

we know that 24 minutes = 24/60 = 0.4 hours ,

the average speed = total  distance / total time

= 17.4/0.4

= 43.5 miles per hour

Therefore , the average speed is 43.5 miles per hour .

The given question is incomplete , the complete question is

One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?

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back to assignment attempts keep the highest no score out of 2/ 2 10. missing data which of the following are valid reasons for why there may be missing data in a well-designed study? check all that apply. some respondents didn’t know the answer to the question. some respondents refused to answer the question. data for some respondents were lost or misrecorded. researchers always have access to all values of all variables in the data set of a well-designed study. why might eliminating respondents with missing data compromise the results of a study? a random sample may no longer be random if you eliminate some members of the sample. statistical software is not equipped to handle eliminating responses. continue without saving

Answers

There may be missing data in a well-designed study because some respondents didn’t know the answer to the question, some respondents refused to answer the question and data for some respondents were lost or misrecorded. A random sample may no longer be random if you eliminate some members of the sample so eliminating might respondents with missing data compromise the results of a study

The first question is:

Missing data which of the following are valid reasons for why there may be missing data in a well-designed study? check all that apply.

some respondents didn’t know the answer to the question. some respondents refused to answer the question. data for some respondents were lost or misrecorded. researchers always have access to all values of all variables in the data set of a well-designed study.

The option 1, 2 and 3 may be possible reasons.

It is possible that some respondants did not know the answer of the question. Because it is not neccesary that every respondants know the answer of the quesions that are asked. So they can provide the wrong data and also not give the answer.

Some may refuse to answer because they don't want to answer or may be it is deficult to answer of those questions.

It may also possible that the the record were lost or misrecorded. Because there is lot of data that they have to organize and also possible there have many same detalis in the respondants that leads to the misrecoding.

The second question is:

Why might eliminating respondents with missing data compromise the results of a study?

a random sample may no longer be random if you eliminate some members of the sample. statistical software is not equipped to handle eliminating responses. continue without saving

If we eliminate a random sample then it is possible that the data may be biased and didn't involve the all factors. So it leads to wrong result and may harm the all process. So it directly effect the result of a study.

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Grayson owns a food truck that sells tacos and burritos. He only has enough supplies
to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $7.
Grayson must sell a minimum of $560 worth of tacos and burritos each day. If x
represents the number of tacos sold and y represents the number of burritos sold,
write and solve a system of inequalities graphically and determine one possible
solution.

Answers

Using system of linear inequality, the number of tacos and burrito he sold was 56 and 54 respectively

System of Linear Inequality

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

To solve this problem, we have to write two system of inequality and then graph the inequalities to show the solution.

Let;

x = tacosy = burritos

x + y = 110 ...eq(i)

7x + 3.25y ≥ 560 ..eq(ii)

From eq(i)

x + y  110

x = 110 - y ..eq(iii)

Put eq(iii) into eq(ii)

7(110 - y) + 3.25y ≥ 560

770 - 7y + 3.25y ≥ 560

770 - 3.75y ≥ 560

-3.75y ≥ 560 - 770

-3.75y ≥ -210

y ≤ 56

Assuming y is less than or equal to 56, x will be

x + 56 = 110

x = 54

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Use elimination to solve the equations

1. x - 2y = 4
-x + y = -2

2. -x + y = 3
3x + y = 11

3. -4x - 2y = -12
4x + 8y = -24

Answers

Answer:

Step-by-step explanation:

1. x=5

2. xy7

a bin contains 4 items: 1 a, 1 b, 2 c and 6 d. a person randomly selects 3. how many different types of items will be selected

Answers

Using combinations, we know that 4 different types of items will be selected.

What are combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We can choose the components of combos in any order.

Permutations and combinations can be mixed up.

Combination formula: [tex]n C r=\frac{n !}{(n-r) ! r !}[/tex]

So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.

We, therefore, have 4 objects, and a person chooses 3 at random.

[tex]\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}[/tex]

Therefore, using combinations, we know that 4 different types of items will be selected.

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Your team has 17 kickballs to store in baskets.
Each basket can hold 5 kickballs.
How many baskets do you need to store all the kickballs?

Answers

Answer:

85baskets

Step-by-step explanation:

17*5=85 baskets,if each basket hold 5kickballs 17*5.

Please answer quickly :) If wrong i will report

Answers

Answer:

(0,2)

Step-by-step explanation:

plug in 0 for x

Sadio tart with aving of £15. Thoma tart with no aving. Each week from now,
Sadio will ave £3. 50 and Thoma will ave £3
in how many week will Sadio and Thoma have aving in the ratio 2:1?

Answers

In total 6 weeks, the saved money by both Sadio and Thoma will be in the ratio of 2:1.

Define the term ratios?When two or so more numbers are compared, the ratio shows how big one is in relation to the other. The dividend and number being divided is referred to as the antecedent, and the divisor for number that also is dividing is referred to as the consequent. A ratio compares two numbers by division.

For the given question.

Initial money owned by each is-

Sadio = $15

Thoma = $0.

Let the number of weeks passed be 'x'.

Then, present money after x weeks.

Sadio = $3.50x + 15

Thoma = $3x

The number of weeks , when ratio becomes 2:1

(3.50x + 15)/3x = 2/1

3.50x + 15 = 6x

6x - 3.5x = 15

x = 15/2.5

x = 6

Thus, in total 6 weeks, the money held by both Sadio and Thoma will be in the ratio of 2:1.

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A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78. A) 0.0103 B) 0.0008 C) 0.8962 D) 0.0036

Answers

The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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Select all the prime numbers.
3
9
13
23
33​

Answers

Answer:

Prime Numbers: 3,13,23,33

Composite Number: 9

Step-by-step explanation:

If a number has only 2 factors 1 and itself, then the number is prime

judy selected ten states and then calculated statistics on them. which statement best describes the resulting statistics?

Answers

The statement best describing is only statistics for the ten states are reported

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. Statistics can be used to make future predictions calculate the likelihood that a given event will occur, or provide information about a survey. It primarily serves to convey knowledge, compute probabilities, and store records. In essence, it improves our understanding of the world by using numbers and other quantitative data.

In the given case, a total of ten states were selected by Judy and then the statical analysis was made. As per the given options, the correct option is that only statistics for the ten states are reported. This is because the number of terms, which are the states is ten.

Complete Question

Judy selected ten states and then calculated statistics on them. Which statement best describes the resulting statistics?

Only statistics for the ten states are reported.

No statistics are reported.

Statistics for all fifty U.S. states are reported.

The number of states included in the report depends on whether an attribute, interactive or spatial query was used to make the selection.

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an electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. how large a sample is needed if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?

Answers

A sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.

What do you mean by sampling?

Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.

According to the question,

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha =\frac{1-0.96}{2} =0.02[/tex]

Now, we have to find z in the Z table as such z has a p value of [tex]1-\alpha[/tex].

So it is z with a p value of [tex]1-0.02=0.98[/tex], so z= 2.055

Now, find the margin M as such

M = z*σ/√n

In which σ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

σ = 40, M = 10,

M = z*σ/√n

[tex]10=2.055*\frac{40}{\sqrt{n} } \\10\sqrt{n}=82.2\\ \sqrt{n}=8.22\\ n=67.6[/tex]

Therefore, a sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.

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explain how the is related to the standard error of the estimated difference in average birth weight for smoking and nonsmoking mothers.

Answers

The average birthweight of a nonsmoker was between 1,000 and 5,000 grams. Babies born to smokers frequently weighed between 500 and 4500 grams.

Given,

What is the newborn's weight?

A newborn's body weight is referred to as birth weight. At birth, babies of European descent typically weigh between 2.5 and 4.5 kilograms, or about 3.5 kilograms on average. South Asian and Chinese babies typically weigh 3.26 kg.

Here,

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grams. Babies of smokers typically ranged in weight from 500 to 4500 grams.

However, there are some obvious disparities between the two groups' typical ranges of birth weights. Since there are fewer newborns in the lower weight groups, over half of neonates among nonsmokers (56 out of 115, 48.7%) had birth weights between 3,000 and 4,000 grams. Less infants are born in the heavier weight categories; 40 of the 74 newborns delivered to smokers, or 54% of them, had birth weights between 2,000 and 3,000 grams.

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Which of these relations is a function?

Answers

Graph D is a function because it passes the vertical line test

Vertical Line Test

A vertical line test helps to find if the graph is a function or not. The vertical line in a coordinate system represents a set of infinite points having the same x coordinate values and different y coordinate values for each of its points. The vertical line is drawn parallel to the y-axis, if it cuts the curve at one distinct point then it has one y-value for the given x value and it follows the basic definition of a function.

Applying the vertical line test in the graphs given, only graph D is a function.

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scores from the sit and reach test weren't normally distributed. what is the likely cause for this lack of normal distribution?

Answers

A normal distribution can appear utterly erratic due to a lack of data. Results from tests taken in class, for instance, are often regularly distributed.

Given information;

Scores from the sit and reach test weren't normally distributed.

To find what is the likely cause for this lack of normal distribution,

⇒ A normal distribution can appear utterly dispersed due to Insufficient Data. For instance, test scores in the classroom are often regularly distributed.

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Determine the degree measure of one angle of a 36-sided regular polygon. 170° 180° 6,120° 6,480°

Answers

Answer:

170 Degrees.

Step-by-step explanation:

If an interior angle is 170 degrees, that's your best bet.

Other Questions
pulmonary tuberculosis is named for the tendency of the body to build protective capsules around areas where mycobacterium bacteria have invaded host tissues. the medical term for one of these encapsulated areas is a(n) in which exoplanet system (or systems) would we receive light from the star with the largest doppler shift? D.B. Question: The Articles of Confederation - Identify three key weaknesses of the Articles of Confederation and explain why the "fear" of Monarchy created those policies and almost destroyed our young nation in its first 11 years? the national institute of environmental health science has identified several hundred environmental susceptibility genes. these genes identify the explanatory variable and the response variable. a teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores. Evaluate f(x)=2x^2+5x-17 find f(-1) Match the developmental milestone with the approximate age in months when the activity is typically acquired. 1-2 Months 5-6 Months 8-10 Months 11-12 Months. Which inequality represents the sentence? the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6. ""3.2n 1.5 less-than-or-equal-to 8.6 ""3.2n 1.5 greater-than-or-equal-to 8.6 ""3.2 1.5n less-than-or-equal-to 8.6 3.2 1.5n less-than-or-equal-to 8.6 true or false: the outer orbitals of a halogen are further from the nucleus and are thereby more polarizable. subtract 10 - 2 1/4 When a sodium atom reacts with a chlorine atom toform a compound, the electron configurations of theions forming the compound are the same as those inwhich noble gas atoms?1) krypton and neon 3) neon and helium2) krypton and argon4) neon and argon refers to the flexible provision of data storage, applications, or services to multiple clients over a network. calculate the heat capacity, in calories per degree, of 28.4 g of lead. specific heat of lead is 0.129 j/g c, 1 calorie which of the following industries is most likely to exhibit the characteristic of free entry? question 39 options: a) nuclear power b) municipal water and sewer c) dairy farming d) airport security PLEASE I CAN'T FAIL AGAIN What is one reason a business may not begin their financial year on January 1?A. cold weatherC. traditionB. GAAPD. holiday shopping how does standby preemption affect the router configured with the highest priority in the hsrp group? (select two.) answer if the active router fails and then regains service, it does not become the active router again when preemption is not enabled. if the standby router fails and then regains service, it becomes the active router if preemption is enabled. if preemption is disabled, the standby router takes over as the active router. if the active router fails and then regains service, it becomes the active router again if preemption is enabled. if the active router fails and then regains service, it becomes the active router again, regardless of whether preemption is enabled. Lauren is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 1 beanie, using a total of 23 yards of yarn. The day before, she used 27 yards to knit 3 scarves and 3 beanies. Assuming Lauren is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require? felix is working on an advertisement to promote consumer awareness of the skin damage caused by sun exposure. his first concern will be to Albert built a square chicken coop with 6foot sides.Area of chicken coop = Group therapy (treating people in groups) became common after World War II, when the need for psychological treatment outpaced the availability of therapists. Which of the following statements about group therapy are accurate?-One advantage of group therapy is that it is less expensive than individual therapy.-Groups are often organized around a type of problem (e.g. bulimia) or a particular type of client (e.g. adolescents).-Group settings for therapy give clients an opportunity to improve their social skills and learn from each other's experiences.