Which function is the result of translating y = x2 downward by 3 units and to the left by 4 units?.

Answers

Answer 1

The outcome of translating y = x^2 downward by 3 units and to the left by 4 units is y = (x+4)^2-3.

What exactly is Graph?

A graph is a mathematical depiction of a network that describes the connection between lines and points.

We must determine which function results from translating y = x^2 downward by 3 units and to the left by 4 units.

A translation is a movement of the graph that is either horizontally or vertically parallel to the axis.

Replace x with x+4 y = (x+4)^2-3 to shift the graph four units to the left.

As a result, y = (x+4)^2-3 is the result of translating y = x^2 by 3 units downward and 4 units to the left.

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Related Questions

Geometry question need explanation on finding the answer

Answers

SinAngle = O/H
SinAngle = 13/14
Angle = Sin^-1(13/14)
Angle = 68.2132107017 degrees
Angle ≈ 68.2 degrees (1 decimal place)

Hope it helps : )

Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y = 4
12X - Y = 26
A. Divide both sides of the top equation by 3

B. Divide both sides of the bottom equation by 3
• C. Multiply both sides of the bottom equation by 2
• D. Multiply both sides of the top equation by 2

Answers

Answer: Choice C

Multiply both sides of the bottom equation by 2

Reason:

The y coefficient of the first equation is 2. For the other equation, that y coefficient is -1. We need these coefficients to be equal but opposite. One way to do this is to double everything in the bottom equation

The bottom equation 12x-y = 26 doubles to 24x - 2y = 52

At this point we have the equivalent system of

[tex]\begin{cases}4x+2y = 4\\24x-2y = 52\end{cases}[/tex]

And we can see that we have equal but opposite y coefficients (2 and -2). The y terms add to 0 since 2y + (-2y) = 0y = 0 meaning we've eliminated y.


Question 1
Which equation represents the relationship shown in the table
at the right?

Answers

Answer:

Option (4)

Step-by-step explanation:

When x = 0, y = -3.

Eliminate Option 1.

Also, the slope is

[tex]\frac{-1-(-3)}{1-0}=2[/tex]

So, the equation is y = 2x - 3.

Given: ΔABC is a right triangle and CD ⊥ AB.
Prove: AC2 + BC2 = AB2
Which reason completes the proof?

A.
Corresponding sides of similar triangles are proportional.
B.
Corresponding parts of congruent triangles are congruent.
C.
Corresponding parts of similar triangles are congruent.
D.
Corresponding sides of congruent triangles are proportional.

Answers

C

Proves ac2+ bc2 = ab2

Answer:

Corresponding parts of similar triangles are congruent.

Step-by-step explanation:

Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y 2 and ys x
B. x>2 and yz x
C. x22 and y> x
D. y 22 and y

Answers

The system is:

y < x

y ≥  2

So we conclude that the correct option is D.

Which system of inequalities is represented in the graph?

On the graph, we can see two lines. One with a positive slope that is dashed.

And a solid line that is constant of the form y = c.

We can see that the shaded region is above the constant line and below the line with a positive slope, so the system of inequalities is of the form:

y < line.y ≥ constant line (≥ is used because this line is solid).

The only option that has this form is option d:

y < x

y ≥  2

So we conclude that the correct option is D.

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Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 19 thousand and a standard deviation of 7.6 thousand. What is the 95th percentile for the average number of residents within five miles of each store in a sample of 75 stores

Answers

The 95th percentile for the average number of residents within five miles of each store is 20219.86.

Given mean of 19000 , sample size of 75 stores and standard deviation of 7600.

We have to find the 95th percentile for the average number of residents within five miles of each store in a sample of 75 stores.

We have to first find the margin of error to calculate the upper level of confidence interval.

Margin of error is the difference between the real values and calculated values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is the critical value of z at given confidence level.

σ is standard deviation

n is the sample size.

z value at 95% confidence level is 1.39. (one tailed)

Put the values in the formula to get margin of error.

Margin of error=1.39*7600/[tex]\sqrt{75}[/tex]

=10564/8.66

=1219.86

Upper level=19000+1219.86

=20219.86

Hence the 95th percentile is 20219.86 for the average number of residents within five miles of each store in a sample of 75 stores.

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The mass of a proton is about 1.7 x 10^-24 g. The mass of a neutron is about the same as a proton. The nucleus of an atom of carbon has 6 protons and 6 neutrons. The mass of the nucleus is about 2 x 10^-26 units. Circle the best choice for the units this measurement is given in: g/kg/tons​

Answers

The density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

How to estimate the density of proton?

Given:

[tex]$r = 2 * 10^{-26[/tex] units.

[tex]mass = 1.7 * 10^{-24[/tex] grams

Formula, V [tex]= 4/3 * \pi * r^3[/tex]

Density = mass / Velocity

Put the givens into the formula.

Find the value for [tex]r^3[/tex]

[tex]V = (4/3) 3.14 * (1 * 10^{-13})^3[/tex]

To estimate the volume indicate divide by 3  

[tex]V = (4/3) 3.14 * 1 * 10^{-39[/tex]

[tex]V = 1.256 10^{-38/3[/tex]

[tex]V = 4.1867 * 10^{-39[/tex]

Density = mass / velocity

Density = [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

Therefore, the density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

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In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) A 65⁰ P 120⁰ R B O​

Answers

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

v²=u²+2as. If u = 12, a = -3 and s=18, Find v

Answers

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

Javid travels to work by bus or by train.

The daily bus fare is £2.50
The daily train fare is £3.50
In 5 days he spends a total of £14.50

On how many days did he travel by bus?

Answers

Javid travelled by bus for 3 days using a simultaneous equation

What is simultaneous equation?

This refers to equations that are solved together in order to determine the values of unknown variables.

In this case, the total amount spent on daily bus or train can be determined as the fare price multiplied by the number of days

Let  X be the number of days that Javid took bus

total spent on bus=2.50X

Let Y be the number of days that Javid took train

total spent on train=3.50Y

Total spent=2.50X+3.50Y

14.50=2.50X+3.50Y

Secondly, X plus Y gives 5 days

5=X+Y

multiply the second equation by 2.50 and the first by 1

14.50=2.50X+3.50Y

12.50=2.50X+2.50Y

subtract the second equation from first

2=Y

substitute for Y

5=X+Y

5=X+2

X=5-2

X=3

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The number of days that he travelled by bus is; 3 days

How to Solve Simultaneous Equations?

Let  x be the number of days that Javid travelled by bus.

Let y be the number of days that Javid travelled by train.

Thus;

Total spent on bus = 2.50x

Total spent on train = 3.50y

Overall total spent is;

2.5x + 3.5y = 14.50   -----(1)

Total number of days is 5 days and so;

x + y = 5    -----(2)

Making x the subject in eq 2 gives us;

x = 5 - y     -----(3)

Put eq 3 in eq 1 to get;

2.5(5 - y) + 3.5y = 14.50

12.5 - 2.5y + 3.5y = 14.5

y = 14.5 - 12.5

y = 2 days

Thus;

x = 5 - 2

x = 3 days

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A group of restaurant owners surveyed a list of people to determine how preferences of meats compared to preferences of grains, and if they are related. The results are in the table above. Based on the table, is there evidence of association between chicken preferences and rice preferences

Answers

There is no association between the chicken preferences and rice preferences. Option C

What is association?

There is an association between two variables when they both decrease or increase simultaneously. In many cases, the association between the variables can be shown using the correlation coefficient when the relationship is plotted on Cartesian coordinates.

If we look at the table, we can see that there is no association between the chicken preferences and rice preferences because because the proportion of chicken and rice eaters to all chicken eaters is lower than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all chicken eaters to all eaters.

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Desiree opens an account with one deposit of $6500. she receives a statement twice a year, just after the interest is applied. which type of account is desiree most likely using?

Answers

From Longman Dictionary of Contemporary English opens an account to start an account at a bank or other financial organization by putting money into it Mary was in the bank to ask about opening a current account.

Step 1: Visit the official website of the bank in which you wish to open an account. Step 2: Fill in the application form online along with a digital copy of address proof, identity proof, age proof, income/employment proof, and photographs.

You need to be at least 18 years old to open an account. However, you can open a joint account as a minor with a parent or legal guardian as an account co-owner. Some banks do offer accounts tailored for minors.

Please check the attached file for a complete answer.

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5. Jigsel has 6 more years of teaching experience than Wangmo, and the two of themhave 16 years of teaching experience altogether. How many years of teaching experience does Wangmo have?​

Answers

Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Let Wangmo has x years of experience.

Jigsel has 6 more years of teaching experience than Wangmo.

So, Jigsel has x + 6 years of experience.

According to the question,

the two of them have 16 years of teaching experience altogether.

That means,

we have the equation,

(x+6) + x = 16

2x = 16 -6

2x = 10

x = 10/2

x = 5

Therefore, Wangmo has 6 years of experience.

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Geometry question need help finding the answers to this

Answers

Answer:

L' (-1, 1)

M' (1, 2)

N' (1, -1)

Help ASAP will give 20 points!!!!!
use six unit multipliers to convert 33 cubic feet to cubic centimeters

Answers

Converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

How to determine the conversion

It is important to note that conversion of units requires the appropriate equivalent values

For

I cubic foot is equivalent to 28316. 8 cubic centimeters

But we were given

33 cubic feet for the conversion

If 1 cubic foot = 28316. 8 cubic centimeters

Then 33 cubic feet = x

Cross multiply, we get

x = 28316. 8 × 33

x = 934454. 4 cubic centimeters

Thus, converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

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Simplify :-
(3x-2y) (3x+2y) (9x²+4y²)​

Answers

Answer:

[tex]\huge\boxed{\sf 81x^4 - 16y^4}[/tex]

Step-by-step explanation:

Given expression:

= (3x - 2y)(3x + 2y)(9x² + 4y²)

Using formula:[tex](a+b)(a-b)=a^2-b^2[/tex]

= [(3x)² - (2y)²] (9x² + 4y²)

= (9x² - 4y²)(9x² + 4y²)

Using the above formula again

= (9x²)² - (4y²)²

= 81x⁴ - 16y⁴

[tex]\rule[225]{225}{2}[/tex]

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the given functions. Function 1 Function 2 Graph shows a polynomial function plotted on a coordinate plane with vertical axis g of x. A curve enters quadrant 3 at (minus 5, minus 40), goes through (minus 4, 0), (minus 2, 32), (0, 15), (2, 0), and exits quadrant 1 at (4, 30). Represent the interval where both functions are decreasing on the number line provided.

Answers

Both functions decrease at (-1, 2)

How to determine the decreasing intervals of the function?

The complete question is added as an attachment

The polynomial function f(x) is represented by the graph.

From the graph, the polynomial function decreases at (-2, 2)

The absolute function is given as;

f(x) = =5|x + 1| + 10

The vertex of the above function is

Vertex = (-1, 10)

Because a is negative (a= -5), the vertex is a maximum.

This means that the function decreases at (-1, ∞)

So, we have

(-2, 2) and (-1, ∞)

Combine both intervals

(-1, 2)

This means that both functions decrease at (-1, 2)

See attachment 2 for the number line that represents the interval where both functions are decreasing

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Volume =
Help me please thanks

Answers

Step-by-step explanation:

Volume of the right circular cone=31πr2h=31×π×6×6×10=120πcm3

Answer:

Volume =  405π unit^3

which is

1272.35 unit^3 to nearest hundredth.

Step-by-step explanation:

Volume of the given cone

= 1/3 πr^2 h

= 1/3π(6)^2*10

=  120π unit^3.

The cone similar to it with radius 9 will have a volume equal to

(9/6)^3 times the given cone

= 120π * 729/216

= 405π unit^3.

help me please omg im in a rush

Answers

Answer:48

Step-by-step explanation:

How many terms are in the sequence shown?
38, 36, 34, ..., -20

Answers

Answer:

30 terms

Step-by-step explanation:

In the sequence, the value of each term decreases by 2.

38, 36, 34, 32, 30, 28, 26, 24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, -18, -20.

1+ (38 - (-20))/2 = 1+ 29 = 30

PLEASE HELP FAST!

The question is below:

Answers

The transformation that produces same image are:

Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units right

The transformation that produces different image are:

Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units up

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation, reflection and rotation are rigid transformation which produces same image while dilation produces similar shapes.

The transformation that produces same image are:

Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units right

The transformation that produces different image are:

Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units up

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Identify the domain of the function shown in the graph

Answers

Answer:

C.  All real numbers.

Step-by-step explanation:

The domain is the set of all x values that are used by points on the graph.  This is a sine wave, and we assume it extends infinitely far to the left and right.  Even without that assumption, you can eliminate the other answers.

A. This describes the numbers on the x-axis between 0 and 5, inclusive.  But the graph includes many more points with x-coordinates beyond that interval.

B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.

D.  This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.

A function is a relation where each input value is assigned to (1) ___ one output value.the (2) ___ of a function is the set of all input values, or x-values, for which the function is defined. the (3) ___ of a function is the set of all output values, or y-values, for which the function is defined. to write the equation y = ax + b in function notation, substitute (4) ___ for y. options for 1: a. exactly b. at least c. less than options for 2: a. range b. interval c. domain d. rate of change options for 3: a. range b. rate of change c. interval d. domain options for 4: a. f(x) b. a c. b d. x

Answers

The blanks can be filed by exactly, domain, range, and, f(x) respectively.

While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.

You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.

A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.

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a 90% confidence interval for a proportion is found to be (0.22,0.28). What is the sample proportion

Answers

The value of sample proportion is found to be 0.253.

What is the sample proportion?

The sample proportion [tex]\hat{p}[/tex] indicates the percentage of people in a sample who exhibit a particular quality or attribute.

Divide the number of individuals (or items) who possess the desired attribute by the overall sample size to obtain the sample proportion.

Now, according to the question;

The 90% confidence interval for a proportion is found to be (0.22,0.28).

The confidence interval for the sample is given as-

Confidence interval = Sample proportion ± Margin of Error

Let [tex]\hat{p}[/tex] be the sample proportion.

The level of significance = 1 - 0.90

                                         = 0.10 (10%)

From z-value table, at a significance level of 5% (two-sided), z has a critical value of 1.645.

90% confidence interval = [tex]\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Thus,                       0.22 = [tex]\hat{p} - 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], and

                               0.28 = [tex]\hat{p} + 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Covert both equation in the form of [tex]\hat{p}[/tex] and equating to each other.

[tex]\begin{aligned}&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22\\&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06\\&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645}\\&\sqrt{\frac{\hat{\nu}(1-\hat{p})}{n}}=0.02\end{aligned}[/tex]

Take square root,

[tex]\begin{gathered}\frac{\hat{p}(1-\bar{p})}{n}=0.0004 \\n=\frac{\hat{p}(1-\bar{p})}{0.0004}\end{gathered}[/tex]

Substituting the value of 'n' in the receptive equation to get the value of [tex]\begin{aligned}0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{p(1-\hat{p})}} \times 0.0004 \\0.22 &=\hat{p}-1.645 \times \sqrt{0.0004} \\0.22 &=\hat{p}-(1.645 \times 0.02) \\0.22 &=\hat{p}-0.033 \\\hat{p}=& 0.22+0.033=0.253\\\end{aligned}[/tex]

Therefore, the value of sample proportion is 0.253.

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What is the range of the function graphed below?
y
-8 -6
B.
C.
+
O D.
-2
8
6+
4+
2+
-2-
-4-
-6+
OA -∞0 < y < 2
-∞ < y < ∞
-2 < y < ∞
-∞0 < y < -2
-8-
N
10
--00
Y
+x

Answers

Answer:

D

Step-by-step explanation:

Range is the 'y' values a graph can have

  you can see that the 'y' values can be anythig from - inf to + 2

The range of the function is [2, -∞].

What is a function?

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the function line y values are from 2 to negative infinity.

This means,

The range is [2, -∞].

Thus,

The range of the function is [2, -∞].

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Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller. Which did you include in your answer? Check all that apply. Write the ratios as fractions. Find a common denominator. Compare the numerators to see that 4:10 is the smaller ratio

Answers

In the case above, the option that one need to include in your answer is to Find a common denominator.

What is Fraction in lowest terms?

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

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A client has just inherited a property. the deed is quite old, but she knows where the front two corners of the property are and that the distance between them is 210 feet. the shape is an irregular quadrilateral and the other three sides have distances of 515 feet, 232 feet, and 542 feet in a clockwise direction from the front left corner. more importantly, it is known that the front left corner of the property is a right angle.

Answers

Answer:

sorry ❣️ bro you halp me

Answer fast in steps

Answers

Sike dh
Yijhujbhjhhvhbvhj
Ughhhh hjhguhhh tuhtujgu

Question 5(Multiple Choice Worth 5 points)

(05.05 LC)

PLEASE HELP!!!!
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
2 square feet
4 square feet
6 square feet
8 square feet

Answers

Answer:

4 square feet

Step-by-step explanation:

A: Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.

B: Identify and interpret the key features of the function in the context of the situation you described in part A.

Answers

The function type in the graph is a decreasing function.

What is a function?

It should be noted that a function is simply used to illustrate the relationship between variables.

In this case, the function type in the graph is a decreasing function. As the number in X axis increases, the value in the y axis is decreased.

This illustrates a decreasing function.

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a linear traveling wave can be partially reflected when it encounters another linear traveling wave. (True or False) Imagine that a host with IP address 150.55.66.77 wishes to download a file from the web server at IP address 202.28.15.123. Select a valid socket pair for a connection between this pair of hosts. 1 150.55.66.77:150 and 202.28.15.123:80 2 150.55.66.77:80 and 202.28.15.123:80 3 150.55.66.77:80 and 202.28.15.123:3500 4 150.55.66.77:2000 and 202.28.15.123:80 What is the meaning of the Latin root lig Why were economies among the most influential of the motives behind imperialism? explain specifically what certain countries were looking for. give examples do not just put resources. document used to establish responsibility for shipping goods via a third party is: Who is a grotesque character in the story The Legend of Sleepy Hollow?Support with text evidence. DUE TODAY NEED HELP WELL WRITTEN ANSWERS ONLY!!!!!!!!!!!! Because rectal bleeding is a common finding in ulcerative colitis, which additional question is important for the nurse to ask Jessica?A. "Do you ever hear ringing in your ears?"B. "Do you feel fatigued or light-headed?"C. "Do you experience tremors or headaches?"D. "Do you have trouble remembering recent events?" several years ago, the average serving size of beef at restaurants was 4 ounces. due to changing restaurant trends, the average serving size is now 3 ounces. what is the percent of decrease in the average serving size? How to redirect command ouptu to a file netstate? The temperature of a silver bar rises by 10.0C when it absorbs 1.23 kJ of energy by heat. The mass of the bar?is 525 grams. determine the specific heat of silver. Let {an}be a sequence and La real number such that limn[infinity]an=L. Prove that {an}is bounded. What role did Jane Goodall play in establishing behavioral ecology as a branch of ecology? She was able to show that some behaviors are innate and others are learned O She demonstrated that insects like honeybees can communicate with each other She framed 4 questions that should be answered to thoroughly understand a behavior She helped to popularize the study of behavior Refraction occurs at the interface between two transparent media because:A. The frequency of the light changes.B. The speed of light is different in the two media.C. The direction of the light changes.D. Some of the light is reflected.E. None of the above. PLEASE HELP ME ITS DUE TODAY!!! Two narrow slits 40 m apart are illuminated with light of wavelength 620nm. The light shines on a screen 1.2 m distant. What is the angle of the m = 2 bright fringe? How far is this fringe from the center of the pattern? what would y be if the intercept equals 12.34 and the b equals 2.12 for an x of 8? Determine whether the series is convergent or divergent.(Sigma) (From n=1 to [infinity]): cos^2(n) / (n^5 + 1)You may use: Limit Comparison Test, Integral Test, Comparison Test, P-test, and the test for divergence. Queues - Linked List Implementation Modify the "Queue starter file - Linked List Implementation". Inside of main(), write the Java code to meet the following requirements: . Allow the user to enter 10 integers from the keyboard o Store odd # in oddQueue Store even # in evenQueue Traverse and display the oddQueue in FIFO o Traverse and display the evenQueue in FIFO which of the following measures are you most likely to implement in order to protect your system from a worm or trojan horse? Antivirus softwarePassword policyIPsecFirewall