please help. for an assignment

Please Help. For An Assignment

Answers

Answer 1

The time that it will take for the car to skid 276 m is given as follows:

8.2 seconds.

How to obtain the time?

The quadratic function giving the amount that the car skids after t seconds is given as follows:

D(t) = 13t² - 73t.

Hence, when the car skids 276 m, we have that:

D(t) = 276

13t² - 73t = 276

13t² - 73t - 276 = 0.

Which is a quadratic function with coefficients given as follows:

a = 13, b = -73, c = -276.

We want the positive solution for the function, as time is a positive measure, which is obtained using a calculator as follows:

t = 8.2 seconds.

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Related Questions

Perry and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Perry sold 1 bag of windflower bulbs and 1 bag of daffodil bulbs for a total of $20. Darryl sold 7 bags of windflower bulbs and 1 bag of daffodil bulbs for a total of $68. What is the cost for each bag of windflower bulbs and one bag of daffodil bulbs?

Answers

A bag of daffodil bulbs costs $12 and a bag of windflower bulbs $8.

Let's use the letters "w" for the price of a bag of windflower bulbs and "d" for the price of a bag of daffodil bulbs.

We may construct the following system of equations based on the above information:

Perry's sales:

w + d = 20 (equation 1)

Darryl's sales:

7w + d = 68 (equation 2)

To solve for w and d, we can use the elimination method. Multiplying equation 1 by -1, we get:

-w - d = -20

Adding this to equation 2, we eliminate d and get:

6w = 48

Dividing both sides by 6, we get:

w = 8

Substituting this value of w into equation 1, we can solve for d:

8 + d = 20

d = 12

Therefore, a bag of windflower bulbs costs $8 and a bag of daffodil bulbs costs $12.

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Evelyn has 36 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 154 square meters. List each set of possible dimensions (length and width) of the field.

Answers

The possible dimensions (length and width) of the field which is rectangle are (26m, 5m) or (5m, 26m) and (28m, 4m) or (4m, 28m)

Let's assume the length of the rectangle be L and the width be W.

We know that we have three sides of the rectangle to fence, so the total length of the fence will be L+2W = 36m.

Also, we know the area of the rectangle = L×W = 154 sq.m

Using the two equations above, we can solve for L and W as follows:

L = 36 - 2W (from the first equation)

Substituting this value of L in the second equation:

(36 - 2W)W = 154

2W² - 18W + 77 = 0

We get two possible values of width: W = 5 or W = 4

For W = 5, L = 26

For W = 4, L = 28

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Miriana rolled two fair number cubes for one experiment. She rolled a three then a six 7 times in 180 experiments. How many more times did she roll this sequence than what the theoretical probability would have predicted?

Answers

Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.

The theoretical probability of rolling a three-on-one number cube is 1/6, and the same is true for rolling a six. Since the two rolls are independent,

The probability of rolling a three and then a six in the sequence is the product of the probabilities: (1/6) x (1/6) = 1/36.

To find the expected number of times this sequence would occur in 180 experiments, we multiply the probability by the number of experiments: (1/36) x 180 = 5.

So, if Miriana had rolled the number of cubes according to the theoretical probability, we would have expected her to roll the sequence of 3 and then 6 five times in 180 experiments.

However, she actually rolled this sequence 7 times, so she rolled it 2 more times than the theoretical probability would have predicted.

Therefore, Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.

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at age 20 someone sets uo an IRA retirement account with an apr of 5% . at the end of each month he deposits $65 in the account how much will the ira conrian when he retires at age 65? Comprare
That amount to the total deposit made over
The time period

Answers

When someone aged 20 sets up an IRA retirement account with an APR of 5% and deposits $65 at the end of each month, when he retires at age 65, the account will have a future value of $131,718.42.

b) Compared to the total deposit he made over time ($35,100.00), he generated a total compounded interest of $96,618.42.

How is the future value determined?

The future value can be determined using an online finance calculator, which compounds the interest at 5% over a period of 540 months or 45 years.

Number of years = 45 years (65 - 20)

N (# of periods) = 540 months (45 years x 12)

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $65

Results:

Future Value (FV) = $131,718.42

Sum of all periodic payments = $35,100.00 ($65 x 540 months)

Total Interest = $96,618.42

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The spinner shown has eight congruent sections. The spinner is spun 320 times. What is a reasonable prediction for the number of times the spinner will land on an odd number?

Answers

It is fair to assume that the spinner will land on an odd number 160 times.

The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.

The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.

If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:

(1/2) x 320 = 160

Therefore, the probability that the spinner will fall on an odd number 160 times is fair.

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A reasonable prediction for the number of times the spinner will land on an odd number is 160.

We have,

Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.

Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.

Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.

Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.

Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.

Thus,

A reasonable prediction for the number of times the spinner will land on an odd number is 160.

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Help !!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Upper problem:

The transformation is a translation of 3 units down.

Lower problem:

The transformation is a translation of 2 units left and 5 units down.

what kind of number is -15/3?
A) whole number
B) integer
C) rational
D) irrational

Answers

Answer:

Rational

Step-by-step explanation:

Improper fractions are always rational.

Rational and integer!

SOLVE the following equations (6x-50-7(3X+10)=0

Answers

Answer:

6x-50-7(3x+10)=0

Distribute the -7:

6x - 50 - 21x - 70 = 0

Combine like terms:

-15x - 120 = 0

Add 120 to both sides:

-15x = 120

Divide both sides by -15:

x = -8

HURRY ASAP!!! NEED THE ANSWER
The graph shows f(x). The absolute value function g(x) is described in the table.


The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 2, a point at negative 1 comma 3, and a point at 1 comma 3.
x g(x)
−1 5
0 4
1 3
2 2
3 3

If g(x) = f(x + k), what is the value of k?
k = −2
k is equal to negative one half
k is equal to one half
k = 2

Answers

Answer:

A

Step-by-step explanation:

PLS HELP ME OUT! A sporting event has a promotion in which the first 1,000 fans to enter the arena receive either a blue cap or a red cap. A random number generator is used to simulate the color of a cap given to a person where indicates a blue cap and indicates a red cap. Ten simulations, each consisting of ten random numbers, are conducted, and the results are shown in the following table:
Based on the simulations, what is the probability that ten hats given to ten people will consist of more blue caps than red caps? a. 0.20
b. 0.40 c. 0.60 d. 0.80

Answers

The probability that ten hats given to ten people will consist of more blue caps than red caps is given as follows:

a. 0.2.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes in which there are more blue than red caps are those in which the number of zeros is greater than the number of ones, hence the number of desired outcomes is of:

2. (simulation number 7 and simulation number 10).

Hence the probability is of:

p = 2/10

p = 0.2.

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digit shows a number written in words 2. expanded form shows a number written using digits 3. period one of the numerals from 0 to 9 4. place value the position of a digit in a number, which determines its value 5. standard form each three-digit part of a whole number, separated by commas 6. word form shows a number written as an addition statement

Answers

The statements can be arranged correctly as follows:

1. Word Form shows a number written in words.

2. Standard form shows a number written using digits.

3.  Digit is one of the numerals from 0 to 9

4. Place value the position of a digit in a number, which determines its value.

5.  Period each three-digit part of a whole number, separated by commas

6. Expanded form shows a number written as an addition statement

How to determine the terms

We can determine the terms by first understanding the mathematical meanings. Word form is a term used in math to denote expressions written in word B.

Also, the standard form is a way of shortening large numerical values using digits. Digits are single numbers that run between 0 to 9 and they make up the higher values of numbers.

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Mrs Netshirando sells 450 g packs of rusks at R49,50 per pack. The table below shows the main ingredients of the rusks. TABLE 1: MAIN INGREDIENTS TO BAKE 5 000 g OF RUSKS Quantities Ingredients Self-rising flour Bran flour Raisins Butter NOTE: A rusk is a hard, dry biscuit or twice baked bread se the information above to answer the questions that follow. 1,56 kg 6,25 cups 1 Convert 1,56 kilogram (kg) to gram (g). 125 g [Adapted from www.food24.com/Recipes-and-Menus South-African-Recipes! 625 g​

Answers

1560 g.

To convert 1.56 kg to g, we can use the conversion factor 1 kg = 1000 g:

1.56 kg = 1.56 x 1000 g = 1560 g

Therefore, the answer is 1560 g.

Write four math sentences that have an answer of 2.4. Use a different operation in each sentence.​

Answers

The four math sentences that have an answer of 2.4 are 1.2 + 1.2, 1.2 * 2, 3.6 - 1.2 and  4.8/2

Writing four math sentences that have an answer of 2.4.

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

An answer of 2.4

Using a different operation in each sentence., we have the following math sentences

1.2 + 1.2

1.2 * 2

3.6 - 1.2

4.8/2

The solution to each of the above sentences is 2.4

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​ y> 4 1 ​ x+1 y≥− 2 3 ​ x+2 ​ Which graph represents the system of inequalities? Choose 1 answer: Choose 1 answer:

Answers

The graph of the given inequalities is Attached below.

From the given inequalities:

As the first inequality is not strictly true, the graph of it is a straight solid line that passes through the points (0, 2) and (2/3, 0), with the shaded area being further from the origin ( as it fails the zero point test )

As the second inequality is not stringent, the graph of the inequality is a straight solid line that passes through the points (0,-4) and (8,0), with the shaded area pointing in the direction of the origin (since the inequality passes the zero point test)

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Complete question:

Which graph represents the system of inequalities?

y + 3x ≥ 2

y + 4 ≥ 1/2x

which function has the greatest rate or change

Answers

A

Because the 1/4 is what makes it go up higher. There is little movement in it which makes the arrow go faster than the others.

what is the circumference of the given circle in terms of pi ?12 in

Answers

12π inches is the circumference of the given circle with a diameter of 12 inches.

The circumference of a circle can be found using the formula C = π*d, where d is the diameter of the circle.

If the diameter of the circle is 12 inches, then the circumference is:

C = π* d

C = π * 12 inches

C = 12π inches

So, the circumference of the circle in terms of π is 12π inches.

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Is the relation a function?

Answers

No, the relation is not a function.

Is the given relation a function?

Given the relation in the question:

x: -2, -4, -1, -4, 5, 3

y: 1, -3, 2, 8, 0, -1

A function is simply a relationship that maps one input to one output.

To determine whether the relation is a function, we need to check whether each x-value in the relation is associated with a unique y-value.

Looking at the x-values, we see that there are repeated values of -4, which means that there are multiple y-values ( -3 and 8 ) associated with x = -4.

The mapping of x to y is not well-defined for all values of x, since one value of x is associated with multiple values of y, hence, it is not a function.

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determine the volume of the composite figure below. round to the hundredths place if needed.

Answers

The volume of the composite figure is calculated as:

= 1,894.2 cm³

What is the Volume of the Composite Figure?

The volume of the composite figure can be calculated using:

Volume = volume of rectangular prism + 1/2(volume of cylinder)

Volume of rectangular prism = length * width * height

length = 15 cm

width =  2(6) = 12 cm

height = 10 cm

Volume of rectangular prism = 15 * 12 * 10 = 1,800 cm³

Volume of half Cylinder = 1/2(πr²h)

r = 6 cm

h = 10 cm

π = 3.14

Volume of half Cylinder = 1/2(πr²h) = 1/2 * 3.14 * 6 * 10 = 94.20 cm³

Volume of the composite figure = 1,800 + 94.20 = 1,894.2 cm³

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If $x$ is a real number, find $49x^2+14x(19-7x)+(19-7x)^2$

Answers

The value of the expression is $-56x² + 266x + 261

What are algebraic expressions?

Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.

Algebraic expressions are also identified with arithmetic operations, such as;

SubtractionMultiplicationDivisionAdditionBracketParentheses

From the information given, we have;

$49x^2+14x(19-7x)+(19-7x)^2

expand the bracket, we get;

49x² + 266x - 98x² + 361 - 7x²

Now, collect the like terms, we get;

49x² - 98x² - 7x² + 266x + 361

Add or subtract the values

$-56x² + 266x + 261

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On your w-2 it states that you paid $12,042 in federal taxes. When filing your taxes and after all deductions, it says you should have paid $10,628 in federal taxes. How much is your tax refund? Please round to the nearest cent and do not put a dollar sign or spaces in your answer.

Answers

The amount of your tax refund is $1,414

how to determine how much is your tax refund

To find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.

Tax refund = Federal taxes paid - Federal taxes owed after deductions

Tax refund = $12,042 - $10,628

Tax refund = $1,414

Rounding to the nearest cent, the tax refund is $1,414.00.

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Find the value of x.

A 45, 45, 90 degree right triangle is drawn. One of the 45 degree angles is labeled. The leg adjacent to that 45 degree angle is labeled 5. The leg opposite that 45 degree angle is labeled x. The hypotenuse is labeled y.

Answers

Answer:

x = 5

y = 5√2

Step-by-step explanation:

In a 45-45-90 degree right triangle, the two legs form the right angle, and the hypotenuse is opposite the right angle.

The side lengths of a 45-45-90 right triangle are in the ratio

1 : 1 : √2

The legs are congruent, so if one leg has length 5, the other leg also has length 5.

The hypotenuse is √2 times the length of the legs.

x = 5

y = 5√2

which statement about odd functions is correct?

Answers

Answer:  C

Step-by-step explanation:

Think about y=[tex]x^{3}[/tex]     This is an odd function because the highest exponent(degree) is odd

A.  is wrong. Symmetry is where you can fold it and it would be the same.  If i folded y=[tex]x^{3}[/tex] along the y- axis it would not be the same.  

B is wrong. Transformations are where has it moved, which has nothing to do with odd functions in general

C.  is correct.  It is folded along y=x and flipped.

D. is wrong.  If folded y=x it's in the same quadrant but it's not the same, its' reversed.

I am faster than the speed of
sound. I weigh nothing, but I
can fill a room. What am I?

Answers

Answer: I think it’s light

We often use the phrase "to the power of" when talking about exponents. For example, x¹3 is
referred to as x to the power of 13. Why do you think that they would name it like this? How does
increasing the exponent of a number increase its "power"?
Hint: Use a number as an example. (for instance 2) if you keep increasing the power, what happens
to the answer? (i.e. compare 2¹, 2^2, 2^3, 2^4,..., 2^13, 2^14,... until you see the answer you are looking
for!)

Answers

In mathematics, the expression "to the power of" pertains to the exponent, signifying how many times a key number is to be multiplied by itself.

What is the exponents about?

Expressing this idea in English can be done well by using the term "to the power of." To show this, 2 raised to the third power can be interpreted as 2 multiplied by itself three times, resulting in 8.

Therefore, the possible reason behind using the word "power" is probably due to the fact that when the exponent rises, the outcome number is wide, either being greater or smaller, made on the base being above or below 1. This implies that the figure holds more significant value.

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Garnier's Opera House is a revival of the________style.

Romantic

Gothic

Renaissance

Baroque

Answers

Answer:  Garnier's Opera House is a revival of the Baroque style.

three adverbs in the sentence below. Because it was raining hard, the driver was unable to see clearly and almost crashed his shiny new car


i know it is not a collage question but i am only 8 please help

40 points

Answers

The three adverbs in the sentence are:

hard (modifying the verb "raining")

clearly (modifying the verb "see")

almost (modifying the verb "crashed")

1) "Hard" is an adverb of manner that describes how the rain was falling. It indicates that the rain was falling with intensity or force, which made it difficult for the driver to see.

2) "Clearly" is an adverb of manner that describes how the driver was seeing. It indicates that the driver was having difficulty seeing due to the heavy rain, which was affecting their vision.

3) "Almost" is an adverb of degree that modifies the verb "crashed." It indicates that the driver came very close to crashing their shiny new car, but managed to avoid a collision at the last moment.

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I don’t get this can someone help me please?

Answers

It is 4 because 48/7 is 8, 42/6 is 7 and 24/6 is 4 hope I helped you out

Answer:

x=144

Step-by-step explanation:

since they are similar their sides have a common ratio

24/x=42/7

7x=42*24

7x=1008

x=144

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7

minutes and the standard deviation of the waiting time is 1

minute. Find the probability that a person will wait for less than 9

minutes. Round your answer to four decimal places.

Answers

The probability that a person will wait for more than 9 minutes is approximately 0.0912 or 9.12%. This means that out of 100 people, about 9 of them will wait for more than 9 minutes in the line.

We know that,

To solve this problem, we need to use the normal distribution and standardize the variable of interest. We know that the mean waiting time is 5 minutes and the standard deviation is 3 minutes, so we can write: Z = (X - μ) / σ

where X is the waiting time, μ is the mean waiting time (5 minutes), σ is the standard deviation (3 minutes), and Z is the standardized variable.

To find the probability that a person will wait for more than 9 minutes, we need to find the area under the normal curve to the right of 9. We can do this by standardizing 9 using the formula above: Z = (9 - 5) / 3 = 1.33 .

We can use a standard normal table or a calculator to find the probability that Z is greater than 1.33. Using a calculator, we find that this probability is approximately 0.0912.

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-Calcula la primera derivada de la función (Método de Richardson).

F(X)= X4 + 3X2 +2
en X=2 h=0.01

Answers

The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.

So, we have:

f(2) = 2^4 + 3(2^2) + 2 = 24

f(2+h) = (2+h)^4 + 3(2+h)^2 + 2

= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2

= h^4 + 8h^3 + 24h^2 + 35h + 30

Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:

f'(2) ≈ (4f(2+h) - f(2)) / (3h)

Substituting in the values we have:

f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)

= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)

= (4h^3 + 32h^2 + 96h + 140) / 3

Now, we can substitute h=0.01 to get the value of the first derivative at x=2:

f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3

≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3

≈ (0.000004 + 0.0032 + 0.96 + 140) / 3

≈ 140.9632 / 3

≈ 33.8933

Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

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lina bought two patio chairs that cost $ 37 each and a table that cost $ 58. what is the total cost of these items?

Answers

answer 95 I think that is the answer do you know it it is hard

Answer:

Total cost = $132

Step-by-step explanation:

We can find the total cost using the formula

total cost = (item 1 quantity * cost) + (item 2 quantity * cost)

We essentially find the sum of the product of item quantity and cost for each item:

Thus, for 2 chairs costing $37/chair and 1 table costing $58/table, the total cost is:

Total cost = (2 * $37) + (1 * $58)

Total cost = $74 + $58

Total cost = $132

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_________ the emission of previously-absorbed energy from excited, high energy electrons. For chlorophyll the emission is a photon of red light. In 1990 hatem hussein sent iraqi troops into kuwait a country with huge oil reserves president george h w bush created an unusual coalition which included forces form brainly PLSSS HELP!!!NO EDMENTUM ANSWERS PLSSSS!Part CRead the third stanza of the poem and describe how the speaker seems to feel about the path he did not choose.And both that morning equally layIn leaves no step had trodden black.Oh, I kept the first for another day!Yet knowing how way leads on to way,I doubted if I should ever come back.Part DIn the last stanza of the poem, the speaker describes how he imagines looking back on this decision (ages and ages later) and describing it to others. Does this stanza express the same attitude about his choice of path, or does it bring a new perspective to that decision?I shall be telling this with a sighSomewhere ages and ages hence:Two roads diverged in a wood, and II took the one less traveled by,And that has made all the difference. true/false. the height of a wave is defined by its , which is the distance from the wave crest to wave trough, whereas is the distance between the same point on successive waves. what is the angle of refractionwhen a light rya is incident perpendicular to the boudary between two transparent materials? consider the market for pizza. graphically illustrate the impact on equilibrium price and quantity for each of the following scenarios. instructions: drag the appropriate line in the correct direction to show the effect on equilibrium price and equilibrium quantity. a. five new pizza restaurants open. if the unemployment rate rises, which policies would be appropriate to reduce it? a decrease the money supply, cut taxes b increase the money supply, cut taxes c decrease the money supply, increase spending d decrease the money supply, increase taxes e increase the money supply, increase taxes Please HELP!What would the equation be? which of the following are levels of maslow's hierarchy of needs? (choose every correct answer.) multiple select question. a. physiological b. esteem c. autonomy d. safety e. love On the dimensions for a concept of humanity, Klein's theory rates lowest on rock music gets its characteristic style and rhythmic feel from its use of group of answer choices an emphasis on beats 1 and 3 the back beat timbre syncopation slope-limit equil) what is the key assumption made for the ordinary method of slices (oms) technique? a. side forces can be neglected (sum to zero) b. moment equilibrium is not satisfied c. all side forces have the same angle d. all side forces are horizontal After a divorce occurs, the recovery period usually does not start for about 6 months after the divorce.1 year after the divorce. 3 months after the divorce. 1 month for every year of marriage. a group of scientists conducts a scientific study to investigate dietary factors that influence the development of obesity. which of the following activities is not likely to be a component of their research efforts? {{c1::afferent neurons}} cell body and the long peripheral process of the axon are in the peripheral nervous system; only the short central process of the axon enters the central nervous system Current Bank of Canada Policy in the Dynamic AD-AS Model Since September 2021 Canadian inflation according to the CPI has exceeded 5%. Consider the following statement from the Bank of Canada Governor Tiff Macklem in March 2022 While we expect inflation to come down in the second half of this year as the pan- demic eases, it is currently well above our target ... Higher oil prices have contributed to increased transportation costs, which in turn, makes all goods more expensive. Food prices are being affected by extreme weather that has damaged crops across many regions. According to the above quotation, where do you think higher oil and food prices would appear in our dynamic AD-AS model? According to the model outlined in (1)-(5), what would you expect to happen to the endogenous variables Y, 76, it, and ri? Explain your answer the number of cases of type 2 diabetes in adolescents in 1980 was ___. in 2010 the number of cases had significantly increased to 57, 638. Juan, Bob, and Sal want to start a business to rehab homes. Each wants to take an active role in managing their company while also protecting their personal assets from unlimited liability. They are likely to find that forming a _____ will meet their needs. payroll does not involve multiple choice paying independent contractors as well as employees. withholding the appropriate amount in taxes. preparing employee paychecks. paying the company's share of payroll taxes. ______________involves the conversion of energy from the world into neural activity such as when cones capture photopigments and convert those to electrical signals.