Find a curve that passes through the point (1,5) and has an arc length on the interval [2,6] given by:
6
S2 V1 + 16x dx.

Answers

Answer 1

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx. To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x).

To find a curve that passes through the point (1, 5) and has an arc length on the interval [2, 6] defined by the expression 6S²V1 + 16x dx, we can follow these steps:

Step 1: Determine the general form of the curve equation.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

Step 3: Solve the resulting equation to find the specific curve.

Let's proceed with each step:

Step 1: Determine the general form of the curve equation.

Let's assume the curve equation is y = f(x), where f(x) represents the unknown function describing the curve.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

The arc length formula for a curve defined by y = f(x) is given by:

S = ∫[a,b] √(1 + (f'(x))²) dx

We are given that the arc length on the interval [2, 6] is defined by the expression 6S²V1 + 16x dx. Substituting the formula for arc length, we have:

6∫[2,6] (√(1 + (f'(x))²))²dx + 16∫[2,6] x dx

Simplifying, we get:

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx

Step 3: Solve the resulting equation to find the specific curve.

Since the expression 6S²V1 + 16x dx represents the arc length on the interval [2, 6], we need to equate it to the arc length formula obtained in Step 2.

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx

To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x). Without such information, it is not possible to determine the specific curve. Please provide additional constraints or information if available to proceed further in finding the specific curve.

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Related Questions

A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.

Answers

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

What is Volume?

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

How To Calculate the Volume?

Here are the steps to calculate volume of any solid shape:

Identify all the given parameters that are useful and are required to substitute in the respective volume formula. Such as the radius to be 'r' and height to be 'h', the slant height, diameter, etc.Make sure all the parameters are of the same units.Substitute the values in the volume formula of the respective shapes.Write the units as cubic units.

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

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HELP PLEASE

Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?

Answers

20 dollars bev b h h b g v v v v.

Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18?

Answers

Answer:

y = 6

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in y = 3 and x = 9, and solve for k

y = kx

3 = k(9)

1/3 = k

So, the equation is y = 1/3x

Plug in 18 as x and solve for y

y = 1/3x

y = 1/3(18)

y = 6

So, when x = 18, y = 6

Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI

Answers

Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:

what is the volume of the prism 8 1/2 m 7 m 4 m

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            [tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]

Help please the question is in the photo

Answers

First one (ignore22222323333333)

Draw a graph which has the following adjacency matrix: [2 1 1 0] 1 0 0 1 1 0 0 1 0 1 1 0 (b) Label the vertices of your graph A,B,C,D (in any order). (c) How many different paths of length 10 are there from the vertex you labelled A to the vertex you labeled D in the graph you draw in part (a)? Show your working.

Answers

In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

Given that,

a. We have to draw a graph which has the following adjacency matrix

[tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex]

Taking the matrix rows and column as A,B,C,D.

Therefore, In the drawing the graph is with matrix.

(b) We have to label the vertices of your graph A,B,C,D.

The drawing can be seen with the label of vertices A,B,C,D.

(c) We have to find how many different paths of length are there from the vertex you labelled A to D

A →A →B →A→A→B→A→C→D

A→A→A→A→A→C→D

A→A→A→A→A→B→D

Therefore, In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

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Find the exact value of tan A in simplest radical form

Answers

Answer:

12.68 de

Step-by-step explanation:

Can anyone solve these please, cos I'm nucklehead and my brain won't work


×-10=13

t+20=44

y
_ =7
5​

Answers

Answer:

Hello There!!

Step-by-step explanation:

1.×-10=13. 13+10=23

2.t+20=44. 44-20=24

3.y/5=7. 5×7=35

You do the inverse operations to find the unknown number.For example if it is minus you do plus. e.g x-7=19 . 19+7=26

hope this helps,have a great

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

Jimrgrant or Someone Answer this PLZ

Answers

Answer:

C and A

Step-by-step explanation:

For the triangle to be isosceles then the legs are congruent, that is

XZ = XY , substitute values

5x - 1 = 3x + 5 ( subtract 3x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3 → C

(10)

The diagonals of a square bisect each other

Calculate PR using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)

PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]

     = [tex]\sqrt{6^2+(-8)^2}[/tex]

     = [tex]\sqrt{36+64}[/tex]

     = [tex]\sqrt{100}[/tex]

     = 10

Then

PT = 0.5 × 10 = 5 → A

The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)

Answers

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

[tex]y = 13.5x[/tex]

[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

[tex]h = 13.5 * Mercury\ barometer[/tex]

In centimeters, we have:

[tex]h = 13.5 * 76cm[/tex]

[tex]h = 1026cm[/tex]

In inches, we have:

[tex]h = 13.5 * 29.92in[/tex]

[tex]h = 403.92in[/tex]

Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding to Z<0.75? a.0.7223 b.0.7734 Oc 0.9127 d.0.6915 QUESTION 26 Given the least squares regression line y-3 x-3, which of the following is true? a. The relationship between x and y is positive. b. The relationship between x and y is negative. c. As x decreases, y increases. d. None of the answer options is correct.

Answers

The least squares regression line y-3 x-3 is (a) "The relationship between x and y is positive."

To get the area under the standard Normal curve corresponding to Z < 0.75, we can use the standard Normal distribution tables. The tables provide the cumulative probability up to a given Z-score.

Looking up the value of 0.75 in the standard Normal distribution table, we find that the corresponding area is approximately 0.7734.

Therefore, the answer is (b) 0.7734.

Regarding the least squares regression line y = 3x - 3, we can make the following observations:

a. The relationship between x and y is positive: This is true because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

b. The relationship between x and y is negative: This is false because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

c. As x decreases, y increases: This is false because as x decreases, y will also decrease based on the equation y = 3x - 3.

d. None of the answer options is correct: This is false because option (a) "The relationship between x and y is positive" is correct.

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The labor charges for mechanics is $54 an hour. The
standard deviation is $4 an hour. Find the minimum percentage of
data values that lie within the range of $48 to $60 an hour for the
mechanic's labo

Answers

The minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor is 86.64%.

To find the minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor.

We need to calculate the z-scores for both values and use a z-table to find area under the normal curve between those two scores.

First, we calculate the z-score for $48 an hour:

z = (48 - 54) / 4 = -1.5

Next, we calculate the z-score for $60 an hour:

z = (60 - 54) / 4 = 1.5

Using a standard normal distribution table, we can find that the area under the curve between -1.5 and 1.5 is approximately 0.8664 or 86.64%.

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What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.

Answers

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

Find m QRS? who can help me?​

Answers

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

1=10. x6=60

CAN SOMEONE HELP ME PLEASE

Answers

It seems like it is a 1:3 ratio.
y = 12
3(2x + 1) = 4x + 9
6x + 3 = 4x + 9
6x = 4x + 6
2x = 6
x = 3
Since they are similar the proportions of the figure would be equal
3/9 = 2x + 1/ 4x + 9
4x + 9 = 3(2x + 1)
4x + 9 = 6x + 3
2x = 6, x = 3
3/9 = 4/y
y = 12
Solution: x = 3, y = 12

The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?

Answers

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

I just need this and that it

Answers

The answer is J hdjdghsksjdbgeshsh

Jess is having a private party at the bowling alley. The party costs $99 plus %3 per person who attends.

Answers

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693

The first pentagon is dilated to form the second pentagon.

Drag and drop the answer to correctly complete the statement.

Will Mark Brainlist =)

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 is answer i promise

Step-by-step explanation:

HELP

Is x+7 a factor of p(x)

Answers

Answer:

No

Step-by-step explanation:

Because the remainder is not zero

consider the function f(x)=x−2x 1. (a) find the domain of f(x).

Answers

The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).

To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.

The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).

It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.

Therefore, the domain is all real numbers.

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The given question is incomplete, the complete question is

Find the domain of the function f(x) = x² - 2x + 1.

Find the length of the side labeled x. Round intermediate values to the nearest 10th. Use the rounded values to calculate the next value. Round your final answer to the nearest 10th

Answers

Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive

Answers

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

At the football game they sold $4 pizzas and $2 sodas which made the school$260 the number of Sodas sold was five more than three times a number of pizzas sold determine the amount of pizza and sodad sold

Answers

[tex]\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}[/tex]

[tex]\Huge \textsf{Step-by-step explanation}[/tex]

[tex]\LARGE \bold{\textsf{Step 1: Assign Variables}}[/tex]

[tex]\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}[/tex]

[tex]\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}[/tex]

[tex]\large \bold{ \textsf{From the problem, we know that:}}[/tex]

[tex]\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}[/tex]

[tex]\large \bold{ \textsf{We can use this information to write two equations:}}[/tex]

[tex]\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}[/tex]

[tex]\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}[/tex]

[tex]\LARGE \bold{\textsf{Step 3: Solve the system of equations}}[/tex]

[tex]\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}[/tex]

[tex]\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}[/tex]

[tex]\large \textsf{Simplifying this expression gives us:}[/tex]

[tex]\textsf{10\textit{p} + 10 = 260}[/tex]

[tex]\large \textsf{Subtracting 10 from both sides:}[/tex]

[tex]\textsf{10\textit{p} = 250}[/tex]

[tex]\large \textsf{Dividing both sides by 10}[/tex]

[tex]\textsf{\textit{p} = 25}[/tex]

[tex]\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}[/tex]

[tex]\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}[/tex]

[tex]\large \textsf{So, 25 pizzas and 80 sodas were sold.}[/tex]

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

what is the distance between -2 1/2, -5 3/4

Answers

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

give the slope of the line with equation 17x = -34; then graph the line

Answers

Answer:

Slope: Undefined

Step-by-step explanation:

the difference between a low-cost provider strategy and a focused low-cost strategy is

Answers

The difference between a low-cost provider strategy and a focused low-cost strategy lies in their scope and target market. A low-cost provider strategy aims to achieve a cost advantage over competitors while targeting a broad market segment.

A low-cost provider strategy involves offering products or services at a lower cost compared to competitors while targeting a broad customer base. The focus is on achieving economies of scale, operational efficiencies, and cost reduction across the value chain to deliver products or services at competitive prices. This strategy aims to attract a large customer base through cost advantages and can be employed in various industries.

In contrast, a focused low-cost strategy narrows down the target market to a specific segment or niche. Instead of targeting a broad market, the company focuses on serving a particular group of customers with specialized needs or preferences. By understanding the unique requirements of this specific segment, the company can tailor its offerings and operations to provide lower costs, thereby gaining a competitive edge within that niche market. This strategy allows for a more concentrated effort and customization to cater to the specific demands of the chosen market segment.

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A Moving to another question will save this response. Question 10 What is the risk premium for T&S Footwear stock if its expected real return is 11.97%, the expected inflation rate is 3.93%, and the risk-free return is 2.75%? O 9.22% (plus or minus 0.05 percentage points) O 13.62% (plus or minus 0.05 percentage points) O 12.44% (plus or minus 0.05 percentage points) O 16.40% (plus or minus 0.05 percentage points) O None of the above is within 0.05 percentage points of the correct answer A Moving to another question will save this response. Question 10 of 20 5 points Save Answer > A Moving to another question will save this response. Question 9 Question 9 of 20 5 points Save Answer Some of a portfolio consists of stock A, which has an expected return of 15.60% and a standard deviation of returns of 21.99%, and the rest of the portfolio consists of stock B, which has an expected return of 15.60% and a standard deviation of returns of 21.99 %. 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Which equation correctly compares the tens place and ones place in 9,999?A. 90 9 = 10B. 900 9 = 100C. 9,000 90 = 100D. 900 90 = 10 14. Write the ratio of 2 cups of apple juice to 5 cups of orange juice the 3 different ways. an electron is accelerated through some potential difference to a final kinetic energy of 2.35 mev. using special relativity, determine the ratio of the electron's speed to the speed of light . TRUE/FALSE. the decapitated plant shoot would have grown straight up with no bending after the block was placed squarely on top of the cut plant shoot surface. A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. Tothe nearest day, how long would a full tank last if no water were replaced due to drought conditions. The supply chain determines a substantial portion of productcost and quality discuss around 1000 word Seasonal changes occur when the Earth moves so that the Northern Hemisphere and the Southern Hemisphere are tilted more toward or away from the Sun. If the Northern Hemisphere is tilted toward the Sun and it is summer, what is happening in the Southern Hemisphere? A. The Southern Hemisphere is tilted toward the Sun, and it is summer.B. The Southern Hemisphere is tilted away from the Sun, and it is summer.C. The Southern Hemisphere is tilted toward the Sun, and it is winter.D. The Southern Hemisphere is tilted away from the Sun, and it is winter. The blue segment below is a radius of oo. What is the length of the diameterof the circle? Let u(t) = 2ti + (t-1)j-8k. Compute the derivative of the following function. (+19+21) u(t) Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The derivative is the scalar function OB. The derivative is the vector-valued function i+ Di+ k A random sample of n items is to be taken from a distribution with mean and standard deviation o. Use the central limit theorem to determine the smallest number of items n that must be taken in order to satisfy the following relation: P(|Xn- How does the final stanza contribute to the development of the poem's theme? One of the biggest differences between men and women consumers is that men tend to stay loyal to a store. Women are much more ready to shop around-- perhaps because they demand more from their products than men. Andrea purchased a copy of Fit magazine because it contained an article about selecting the right jogging suit. The enduring belief that it is a person:______. Sonia took a flashlight and shined it on several rocks. She was testing the reflection of light off of each rock. What property of rocks was Sonia testing?LusterColorOCleavageOHardness Luke Skywalker was explaring forests on the Alderaan and found himself totally lost. He wants to contact his dear friend Yoda but does not know how: Suddenly, he finds an intergalactic videophone, The4s, conveninetly provided by Interstellar Telekom, which lists two mobile plans. First plan is unlimited and costs 20 Republic credits. The per-minute plan charges one Republic credit per minute. Luke Skywalker has the demand given by the equation Q=20-2P. where Qp is the number of minutes he wants to communicate and P is the price in Republic credits. D Which plan should he choose? HELP ME PLEASE THIS IS THE ONLY QUESTION I DONT UNDERSTAND