Pls help this is sooOOOOOOO annoying!!
(07.06)Number line with closed circle on 9 and shading to the left.

Which of the following inequalities best represents the graph above?

a > 9
a < 9
a ≤ 9
a ≥ 9

Answers

Answer 1

Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer 2

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right


Related Questions

In the coordinate plane, what is the distance
between (-3, 5) and (-3,-8)?

Answers

Answer:

3

Step-by-step explanation:

Plug the coordinates into the distance formula to find that they are 3 units apart

Answer:

13 units

Step-by-step explanation:

sqrt (x2 - x1)^2 + (y2 - y1)^2

sqrt (-3 - (-3))^2 + (-8 -5)^2

sqrt (0)^2 + (-13)^2

sqrt 169

13

Find sin(a) in the triangle.
Choose 1 answer:

Answers

Answer:

sin B sorryonlearning

what are the solutions tolog3x log3(x2 2) = 1 2log3x?x = –2x = –1x = 1x = 2there is no true solution.

Answers

To determine the solutions x⁵ + 2x³ = 3, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Let's solve the equation step by step to find the solutions.

Starting with the given equation:

log₃(x) + log₃(x² + 2) = 1 - 2log₃(x)

Now, let's simplify the equation using logarithmic properties. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient:

log₃(x(x² + 2)) = 1 - log₃(x²)

Next, we can simplify further by using the properties of exponents. The logarithmic equation can be rewritten in exponential form as:

([tex]3^{(log3(x(x^{2} +2)))} = 3^{(1-log3((x^{2}))}[/tex]

The base of the logarithm and the exponent cancel each other out, resulting in:

x(x² + 2) = [tex]3^{(1-log3(x^{2}))}[/tex]

Now, let's simplify the right-hand side by applying the power rule of logarithms:

x(x² + 2) = 3 / [tex]3^{(log3(x^{2} ))}[/tex]

Since  [tex]3^{(log3(x^{2} ))}[/tex]       is equal to x² by the definition of logarithms, the equation becomes:

x(x² + 2) = 3 / x²

Expanding the left-hand side:

x³ + 2x = 3 / x²

Multiplying through by x² to eliminate the fraction:

x⁵ + 2x³ = 3

This is a quadratic equation, which does not have a general algebraic solution that can be expressed in terms of radicals. Therefore, it is challenging to find the exact solutions analytically.

To determine the solutions, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

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help pls and thank uu:)

Answers

-4 is the answer bestie

Answer and Step-by-step explanation:

The answer is 1.

When g(x) is 0, we need to add 4 to both sides, then divide each side by 4 to get the x by itself. We see that x is equal to 1.

0 = 4x - 4

4 = 4x

x = 1

#teamtrees #PAW (Plant And Water)

Use convolution notation with and set up the integral to write the final answer of the following initial value ODE. There is no need to evaluate the integral. x" - 8x' + 12x = f(t) with f(t)

Answers

The integral representation of the solution to the initial value ordinary differential equation (ODE) x'' - 8x' + 12x = f(t) with f(t) is given by x(t) = x₀ * δ(t) + x₁ * δ'(t) + ∫[a,b] G(t - τ) * f(τ) dτ.

The given ODE is a linear homogeneous second-order ODE with constant coefficients. To find the integral representation of the solution, we introduce the Dirac delta function, δ(t), and its derivative, δ'(t), as the basis for the particular solution.

To set up the integral representation for the solution of the initial value ODE x'' - 8x' + 12x = f(t), we first define the Green's function G(t - τ). The Green's function satisfies the homogeneous equation with the right-hand side equal to zero:

G''(t - τ) - 8G'(t - τ) + 12G(t - τ) = 0.

Next, we set up the integral representation as follows:

x(t) = x₀ * δ(t) + x₁ * δ'(t) + ∫[a,b] G(t - τ) * f(τ) dτ,

The integral represents the convolution of the forcing function f(τ) with the Green's function G(t - τ).

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A triangular prism of length 20 cm with a triangular base of side 8 cm and height 4 cm. Calculate the volume in litres.

Answers

The volume of a triangular prism with a base 8 cm and height of 4 cm, length of 20 cm = 0.32 liters.

To calculate the volume of a triangular prism, you multiply the area of the base triangle by the length of the prism. Given that the base triangle has a side length of 8 cm and a height of 4 cm, its area can be calculated as (1/2) * base * height = (1/2) * 8 cm * 4 cm = 16 cm².

Multiplying this by the length of the prism, which is 20 cm, we get the volume:

Volume = Base Area * Length = 16 cm² * 20 cm = 320 cm³.

To convert this volume to liters, we know that 1 liter is equal to 1000 cm³. Therefore, we can divide the volume in cm³ by 1000 to obtain the volume in liters:

Volume in liters = 320 cm³ / 1000 = 0.32 liters.

So, the volume of the triangular prism is 0.32 liters.

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It costs $1.16 to buy four-fifths a pound of apples. How much would it cost to
buy 8 pounds?

Answers

Answer:

11.60

Step-by-step explanation:

If the cost of 4/5th a pound of apples is $1.16, and we need to find the cost of that of 8 pounds, then you start by finding how many 4/5ths of a pound are in 8 pounds. 8 dividided by 0.8 (the decimal form of 4/5) is 10. Taking that 10, you would multiply the original cost of $1.16, which would bring you to the total of $11.60.

Much help is needed________

Answers

Answer:

it is 14

Step-by-step explanation:

Answer:

C) 14

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

V = 4/3(3.14)1.5³

V = 4/3(3.14)3.375

V = 14.13

14.13 ≈ 14

Element X is a radioactive isotope such that every 28 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 38 grams, to the nearest tenth of a
year?

Answers

Answer:

21

Step-by-step explanation:

the bakers at a bakery can make 160 bagels in 4 hours. how many bagels can they bake in 6 hours? what is the rate per hour

Answers

Answer: they can make 240 bagels in 6 hours and the rate per hour is 40

Step-by-step explanation:

f(x) = x2. What is g(x)?
Help me please

Answers

Answer:

Answer is B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The answer is B









Find the sample variance and standard deviation. 17, 10, 4, 8, 11 D Choose the correct answer below. Fill in the answer box to complete your choice. (Type an integer or a decimal. Round to one decimal

Answers

The sample variance is 10 and the standard deviation is 3.2.

How to find the sample variance and standard deviation?

Given data: 17, 10, 4, 8, 11

The sample size, n = 5

Mean (m) = ∑x / n

m = (17 + 10 + 4 +8 + 11)/5

m = 50/5

m = 10

x           x-m             (x- m)²

17      17-10 = 7         49

10      10-10 = 0        0

4       4-10 = -6         36

8       8 - 10 = -2        4

11       11 - 10 = 1          1

                                     

                                90

∑(x- m)² = 90

Sample variance, s² = ∑(x-x)² /(n-1)

Sample variance, s² = 90/(10 - 1)

                                 = 90/9

                                 = 10

Standard deviation (S) = √variance

Standard deviation (S) = √10 = 3.2

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how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

Help!!! answer quickly pls

Answers

Most likely (3,0)

If it’s reflected across the y axis, then it should be the opposite of (-3,0)

If the volume of the following cone is 640 feet³, what is the
length of the radius? Use 3.14 for and round the answer to
the nearest hundredth.
h=12 feet
The radius is
7
feet.

Answers

The length of the radius of the cone is approximately [tex]6.74[/tex] feet.

To find the length of the radius of the cone, we can use the formula for the volume of a cone:

[tex]\[\text{{Volume}} = \frac{1}{3} \pi r^2 h\][/tex]

The concept used to find the length of the radius is the formula for the volume of a cone.

Given that the volume is [tex]640[/tex] ft³ and the height (h) is [tex]12[/tex] ft, we can substitute these values into the formula:

[tex]\[640 = \frac{1}{3} \times 3.14 \times r^2 \times 12\][/tex]

Simplifying the equation:

[tex]\[\frac{640}{12 \times \frac{1}{3} \times 3.14} = r^2\]\[r^2 = \frac{640}{12 \times \frac{1}{3} \times 3.14}\]\[r^2 \approx 45.45\][/tex]

Taking the square root of both sides, we find:

[tex]\[r \approx \sqrt{45.45} \approx 6.74\][/tex]

Rounding the answer to the nearest hundredth, the length of the radius is approximately [tex]6.74[/tex] feet.

In conclusion, the length of the radius of the given cone, with a volume of [tex]640[/tex] ft³ and a height of [tex]12[/tex] feet, is approximately [tex]6.74[/tex] feet (rounded to the nearest hundredth).

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A simple random sample of size n = 49 is obtained from a population that is skewed right with µ = 81 and σ = 14. (a) Describe the sampling distribution of x. (b) What is P (x>84.9)? (c) What is P (x≤76.7)? (d) What is P (78.1

Answers

The sampling distribution of x is N (µx = µ = 81, σx = 2.00).The probability of x > 84.9 is:P(x > 84.9) = P(z > 1.75) = 0.0401.The probability of 78.1 < x < 81 is:P(78.1 < x < 81) = P(-0.95 < z < 0) = 0.3289.

a)Sampling distribution of x

The sampling distribution of x is the probability distribution of all the possible sample means that can be drawn from a population under the same sampling method.

It represents the relative frequency of different values of x (sample mean) that can be obtained when samples of size n are taken from the population.

The sampling distribution of x is approximately normal when the sample size is sufficiently large, i.e. n ≥ 30. In this case, n = 49, which is sufficiently large to assume normality of sampling distribution of x.

The mean of the sampling distribution of x is µx = µ = 81, and the standard deviation is: σx = σ / √n = 14 / √49 = 2.00.

Hence, the sampling distribution of x is N (µx = µ = 81, σx = 2.00).

b)P(x > 84.9)

The z-score is:z = (x - µx) / σx = (84.9 - 81) / 2.00 = 1.75.

Using the standard normal distribution table, the probability of z > 1.75 is 0.0401.

Hence, the probability of x > 84.9 is:P(x > 84.9) = P(z > 1.75) = 0.0401

c)P(x ≤ 76.7)

The z-score is:z = (x - µx) / σx = (76.7 - 81) / 2.00 = -2.15

Using the standard normal distribution table, the probability of z ≤ -2.15 is 0.0150.

Hence, the probability of x ≤ 76.7 is:P(x ≤ 76.7) = P(z ≤ -2.15) = 0.0150d)P(78.1 < x < 81)

The z-score for x = 78.1 is:z1 = (x1 - µx) / σx = (78.1 - 81) / 2.00 = -0.95

The z-score for x = 81 is:z2 = (x2 - µx) / σx = (81 - 81) / 2.00 = 0

Using the standard normal distribution table, the probability of z1 < z < z2 is:P(z1 < z < z2) = P(-0.95 < z < 0) = P(z < 0) - P(z < -0.95) = 0.5000 - 0.1711 = 0.3289.

Hence, the probability of 78.1 < x < 81 is:P(78.1 < x < 81) = P(-0.95 < z < 0) = 0.3289.

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Please help me and no links

Answers

Answer:

Sam's is nonsense and Kim's is sense

Step-by-step explanation:

why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense

x/3 less than or equal to 7

Answers

Answer:

x ≤ 21

Step-by-step explanation:

x/3 ≤ 7

x ≤ 21

Answer:

x ≤ 21

Step-by-step explanation:

With this problem, we have to solve for x, and to do that, we isolate the variable.

To do this, let’s get rid of the /3 from the x by multiplying both sides by 3

now we get x ≤ 7 times 3

finall, we get x≤21

Evaluate the expression for the given value.

2w+2l, when w=7, l=5

Answers

Answer:

2w+2l.

2(7)+2(5).

14+10.

24.

(PLEASE HELP ME ASAP)

Write down a number that has a value less than |4.7|

Answers

Answer:

4.6

Step-by-step explanation:

3.. litteraly anything less than that

Answer:

0

Step-by-step explanation:

|4.7| = 4.7

Any number less than a positive 4.7 is less than |4.7|.

please help i’ll give brainliest

Answers

Answer:

An animal that eats dead animals or plants.

Step-by-step explanation:

Its lowkey the defintion lol

1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel

Answers

Answer:

yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.

Answer:

1.Yes, 2 pairs

2.Yes, 2 pairs

3.Yes, 1 pair

4.Yes, 2 pairs

Step-by-step explanation:

1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

2.A parallelogram is a four sided figure where the opposite sides are parallel.

3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Please help with B ......

Answers

Answer:

17

Step-by-step explanation:

This means all students above 20, so 9 + 5 + 3 = 17

Answer:

17

pls mark brainliest


Prove these are logically equivalent p->q, !q->!p ¬q→¬p,
p→q

Answers

From the truth table, we can see that p->q and ¬p∨q have the same truth values for all possible combinations of truth values for p and q. Therefore, we can conclude that p->q is logically equivalent to ¬p∨q. In summary, we can see that p->q is logically equivalent to both !q->!p and ¬p∨q.

To prove the logical equivalence of the given statements, we can show that they have the same truth values in all possible cases. We'll use a truth table to demonstrate this.

p | q | p->q | !q | !p | !q->!p | p->q = !q->!p

-------------------------------------------------

T | T |   T  |  F |  F |    T   |      T

T | F |   F  |  T |  F |    F   |      F

F | T |   T  |  F |  T |    T   |      T

F | F |   T  |  T |  T |    T   |      T

From the truth table, we can see that for all possible combinations of truth values for p and q, the statements p->q and !q->!p have the same truth values. Therefore, we can conclude that p->q is logically equivalent to !q->!p.

Now let's consider the second statement, p->q. We can rewrite it as ¬p∨q using the logical equivalence of implication.

The truth table for p->q and ¬p∨q is as follows:

p | q | p->q | ¬p | ¬p∨q

-----------------------------

T | T |   T  |  F |   T

T | F |   F  |  F |   F

F | T |   T  |  T |   T

F | F |   T  |  T |   T

From the truth table, we can see that p->q and ¬p∨q have the same truth values for all possible combinations of truth values for p and q. Therefore, we can conclude that p->q is logically equivalent to ¬p∨q.

In summary, we have shown that p->q is logically equivalent to both !q->!p and ¬p∨q.

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Create a function where the domain is not a set of numbers and the range would be the set of whole numbers (1, 2, 3). For the theme of the function, use breakfast. Make sure to clearly identify the domain and the function.

Answers

After considering the given data we conclude that the creation of a satisfactory function with respect to the dedicated question is possible.

To make  a function where the domain is not a set of numbers and the range would be the set of whole numbers (1, 2, 3) and the theme of the function is breakfast, we can describe a function that takes in breakfast items as inputs and assigns a number from 1 to 3 to each item as outputs.
The domain of the function will be the set of breakfast items, and the range would be the set of whole numbers (1, 2, 3).
Here is an instance of such a function:
Function name: breakfastRanking
Domain: {pancakes, waffles, eggs, bacon, sausage, toast, bagel, cereal, oatmeal}
Range: {1, 2, 3}
Function definition:
breakfastRanking(pancakes) = 1
breakfastRanking(waffles) = 2
breakfastRanking(eggs) = 3
breakfastRanking(bacon) = 1
breakfastRanking(sausage) = 2
breakfastRanking(toast) = 3
breakfastRanking(bagel) = 1
breakfastRanking(cereal) = 2
breakfastRanking(oatmeal) = 3
For the function, we have assigned a ranking of 1, 2, or 3 to each breakfast item based on personal preference.
For instance , pancakes, bacon, and bagel are assigned a ranking of 1 because they are the favorite breakfast items, while waffles, sausage, and cereal are assigned a ranking of 2, and eggs, toast, and oatmeal are assigned a ranking of 3.
This function can be imperatives for deciding what to have for breakfast based on personal preference.
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PLEASE HELPP ME!!!!
It would be greatly appreciated :)

Answers

Answer:

The slope of the line is 2/3

Answer: 1.5

Step-by-step explanation:

I plugged it in STAT, but you can do rise over run, or use the formula, y2-y2/x2-x1

Consider the following data 6,6; -14, -14.10.6.-14 Copy Data Step 1 of 3: Determine the mean of the given data Answer how to enter your answer fopens in new window) 1 Point Tables Keypad Keyboard Shortcuts > Next < Prev + . Consider the following data 66-14-1410,6-14 Cory bola Hep 2 of 3 Determine the mean of the data

Answers

The mean of the given data, 6, 6, -14, -14, 10, 6, -14, is approximately 0.857.

To determine the mean of the given data, we need to sum up all the values and then divide the sum by the total number of values.

The given data is: 6, 6, -14, -14, 10, 6, -14.

Sum up the values:

6 + 6 + (-14) + (-14) + 10 + 6 + (-14) = 6

Divide the sum by the total number of values:

6 / 7 = 0.857

Therefore, the mean of the given data is approximately 0.857.

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Using a standard deck of 52 cards, what is the probability that a
randomly dealt 5-card hand contains 2 kings and 3 cards that aren't
kings?

Answers

The probability that a randomly dealt 5-card hand contains 2 kings and 3 cards that aren't

kings is approximately 0.0399 or 3.99%.

To find the probability of randomly dealing a 5-card hand containing 2 kings and 3 cards that aren't kings, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.

The number of ways to choose 2 kings from the 4 available kings is given by the combination formula:

C(4, 2) = 4! / (2! * (4-2)!) = 6

Similarly, the number of ways to choose 3 non-king cards from the remaining 48 cards (52 cards total - 4 kings) is:

C(48, 3) = 48! / (3! * (48-3)!) = 17,296

Therefore, the number of favorable outcomes (hands with 2 kings and 3 non-king cards) is:

6 * 17,296 = 103,776

The total number of possible 5-card hands that can be dealt from a standard deck of 52 cards is:

C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

So, the probability of randomly dealing a 5-card hand containing 2 kings and 3 cards that aren't kings is:

P(2 kings and 3 non-kings) = favorable outcomes / total outcomes = 103,776 / 2,598,960 ≈ 0.0399

Therefore, the probability is approximately 0.0399 or 3.99%.

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Pls helpppp I’m stuck and no one knows

Answers

Answer:

x=9

Step-by-step explanation:

It’s 9
Sorry if it’s wrong

Use Laplace transform to solve the following partial differential equation with prescribed boundary and initial data: Uz(x, t) + 2xut(x, t) = 2x, u(x,0) = 1, u(0,t) = 1, where x ER and t > 0. Show the details of your work.

Answers

The given partial differential equation is given by; Uz(x, t) + 2xut(x, t) = 2x

The Laplace transform of Uz(x, t) + 2xut(x, t) is given as follows; L[Uz(x,t)] + 2x L[ut(x,t)] = L[2x]sU(x,s) - u(x,0) + 2x[sU(x,s)-u(x,0)] = 2x/sU(x,s) + 2x/s^2 - 1(2x/s)U(x,s) = 2x/s^2 - 1 + sU(x, s)U(x, s) = [2x/s^2 - 1]/[2x/s - s]U(x, s) = s(2x/s^2 - 1)/(2x - s^2) = s/(2x - s^2) - 1/(2(s^2 - 2x))

By using the inverse Laplace transform, we have; u(x, t) = [1/s] * e^(s^2t/2x) - (1/2)sinh(t sqrt(2x)) / sqrt(2x)

Thus, the solution to the given partial differential equation is given as follows; u(x, t) = [1/s] * e^(s^2t/2x) - (1/2)sinh(t sqrt(2x)) / sqrt(2x)Where, u(x,0) = 1 and u(0,t) = 1.

The integral transform known as the Laplace transform is particularly useful for solving ordinary differential equations that are linear. It finds extremely wide applications in var-ious areas of physical science, electrical designing, control engi-neering, optics, math and sign handling.

The mathematician and astronomer Pierre-Simon, marquis de Laplace, gave the Laplace transform its name because he used a similar transform in his work on probability theory.

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Find the area of the shaded region. Use the pin button on the calculator. Round to the nearest whole number. 14 70 Trigonometry, please answer ASAP, Convert the radian measure to degrees.12 can someone help me on this question? suppose 60% of the banks in switzerland are private organizations. if a sample of 469 banks is selected, what is the probability that the sample proportion of private banks will be greater than 65% ? round your answer to four decimal places. Solve for x. Show your work:2x+17+3x = 4x+3x+3 Gawain sa pagatuto bilang 1 balikan ang kahulugan ng birtud at pagpapahalaga ayon sa iyong natutunan.Bigyang kahulugan ang biirtud at pagpapahalaga sa pamamagitan ng pagsulat ng mga salita o konseptong kaygnay ng birtud at pagpapahalaga sa kahon An outside thermometer reads 57F. What is this temperature in C? Round your answer to the nearest whole number. 14 49 71 135 Your goal is to find out how transportation has affected the place youcall home. Once you gather your facts, you will create a power pointpresentation to share your findings with your classmates and shareimages of your area before and after the transportation revolution.ResearchThe following guiding questions may help you get started: Did the city, town, or community in which you reside exist prior to the railroad? If you live in a city, how did railroads, streetcars, or subways impact it? If you live in a suburb, determine whether it is a "streetcar/subway" suburb, ora "car" suburb If you live in a rural area, describe how changes in transportation haveaffected commerce and production.As you read, pay close attention to the changes that took place with the advent ofany new form of transportation - including cars and airlines. Also keep an eyeout for photographs, before and after. which expression is equivalent to (1 cos(x))2tangent (startfraction x over 2 endfraction) )? sin(x) 1 cos(x) 1 cos2(x) (1 cos(x))(sin(x)) Hi guys this isnt about math but it needs to be said if you get a comment answering your question telling you a link they have has the answers DO NOT PRESS IT! Those people are either sex traffickers and trying to get your IP address or trying to get your personal information. Stay safe PLZ HELP IM DOING A TGA I NEED HELP 50 POINTS PLZ HELP NO FAKE ANSWERSOpinion: Emoticons Arent Ruining Language. 5. What evidence does the author use to support the reasons? walker suggests that most of the time, the system operates in a chaotic and arbitrary manner. The Earth's asthenosphere is a structural layer A. that is made of the crust and the uppermost part of the mantle. B. that is contained completely within the crust. C. that is contained completely within the upper mantle. D. that is made of the mantle and the uppermost part of the crust. This native of Houston, Texas, served as the Secretary of the Treasury (1985-1988)under Ronald Reagan, Secretary of state (1989-1992) under George H.W. Bush, andthe Chief of Staff for both Reagan (1981-1985) and G.H.W. Bush (1992-1992).A.) John GarnerB.) James BakerC.) Sul RossD.) Sam Houston How many protons are in nitrogen Please give me an accurate answer.Only answer if you're very good at History.Please don't put a link to a website.Do you think it is right to protect sites along "The Trails of Tears"?Yes or No and Why. Forensic investigator Adams is working on a crime scene involving the use of a very rare explosive. She already knows that she needs to find out who set the explosive. Following the scientific method what would be her next step in solving this mystery? Form a hypothesis about the person who bought the explosive Conclude that the homeowner set the explosive Collect some data about the distribution of the explosive Hand over her work to the police so that they can make an arrest if the yield curve is downward sloping, which of the following statements is correct? (hint: graph the yield curves for a t-bond, a aaa bond, and a b bond) Kristy owns a firm that produces cakes. The table shows the firm's total product schedule.If Kristy increases the number of workers employed from 3 to 4, what is the marginal product of labor?If she increases the number of workers employed from 4 to 5, what is the marginal product of labor?If Kristy increases the number of workers employed from 3 to 4, the marginal product of labor is _____ cakes an hour.If she increases the number of workers employed from 4 to 5, the marginal product of labor is _____ cakes an hour.Labor (worker) Output0 0 1 102 243 384 465 506 62 Element X decays radioactively with a half life of 11 minutes. If there are 870 gramsof Element X, how long, to the nearest tenth of a minute, would it take the element todecay to 154 grams?y = a(.5) t/h