Find the exact arc length of f(x)=√2x+1 0≤x≤4

Answer:

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Regarding the data-set of the temperatures, it is found that:

a) The mean and the standard deviation are given as follows:

b) The histogram is bell shaped.

c) 95% of the days will be between 63.75 ºF and 97.07 ºF.

The first step towards obtaining the mean and the standard deviation is obtaining the relative frequencies, which are the absolute frequencies divided by the number of observations.

The number of observations is:

5 + 309 + 1496 + 1521 + 533 + 6 = 3870.

Considering the midpoint of each interval, the following distribution is built:

The mean is given by the sum of each value multiplied by it's relative frequency, hence:

E(X) = 54.5 x 0.0013 + 64.5 x 0.0798 + 74.5 x 0.3866 + 84.5 x 0.3930 + 94.5 x 0.1377 + 104.5 x 0.0016 = 80.41.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their relative frequencies, as follows:

S(X) = sqrt((54.5-80.41)² x 0.0013 + (64.5-80.41)² x 0.0798 + (74.5-80.41)² x 0.3866 + (84.5-80.41)² x 0.3930 + (94.5-80.41)² x 0.1377 + (104.5-80.41)² x 0.0016) = 8.33.

From the histogram, most values are around the mean, with a small percentage of around 0.3% around the bounds, accordingly with the Empirical Rule, hence the distribution is normal.

By the Empirical Rule, a percentage of 95% of the observations is within two standard deviations of the mean, hence:

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The linear regression equation from the given scatter plot is:

y = -1.62x + 215.64.

Using this function, the estimate of his weight 15 weeks into the diet is:

191.34 pounds.

The linear regression equation is obtained inserting the points of the scatter plot of the situation into a linear regression calculator.

From the given scatter plot, the points are given as follows:

(0,216), (1,214), (2,213), (3,210), (4,210), (5,207), (6,206), (7,202), (8,203), (9,202), (10,200)

Inserting these points into a calculator, the line of best fit is given as follows:

y = -1.62x + 215.64.

The estimate weight at the 15th week of the diet is the numeric value of the function when x = 15, that is, the lone instance of x in the function is replaced by 15, as follows:

y = -1.62(15) + 215.64 = 191.34 pounds.

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Answer:

10 inches

Step-by-step explanation:

What this question is asking you to do is set up a ratio. So all you do is 14/70 = x/50 and solve for x.

Answer:

14inches = 70cents

X inches = 50cents

70x = 50×14

70x = 700

X = 10inches

a. The expense function in terms of p is  - 280p + 34, 000

b.  At a price of $10.00, 7, 600 widgets are demanded

c.  It costs  $31, 200 to produce the number of widgets from part b

We have that;

To express the expense function in terms of p, we have to take the following steps;

Substitute the value of q in the demand function into the function for the expense, we get;

Expense function = 2( -140p + 9,000) + 16, 000

Now, expand the bracket, we get;

Expense function = - 280p + 18, 000 + 16, 000

collect and add like terms

Expense function = - 280p + 34, 000

If p = $10. 00

Then,

Demand function is q = -140(10) + 9,000

expand the bracket

q = - 1400 + 9, 000

q = 7, 600

Substitute q in expense function

E = 2.00q + 16,000

E = 2. 00(7600) + 16, 000

E = $31, 200

Hence, the expense function is - 280p + 34, 000

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Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.

In the given question,

A ramp goes from a doorway of a building to the ground.

The end of the ramp connected to the doorway is 1 foot above the ground.

The distance along the ramp to the building is 5 feet.

We have to find the angle of elevation of the ramp to the nearest degree.

The distance is 5 feet.

The height is 1 foot.

To find the angle of elevation we used the trigonometry ratio.

According the trigonometry ratio, we know that tangent is the ratio between height and distance.

We can write it as

tan A=height/distance

Now putting the value

tan A=1/5

tan A=0.2

So A = arctan(0.2)

A = 11.30°

A ≈ 11°

Hence, the angle of elevation of the ramp to the nearest degree is 11°.

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Step-by-step explanation:

1:

1/5 of 90 = 18 hours which are sold.Means are 72 houses left.

2.

1/3 of 72 =24 houses sold again. Sooo means there are 48 houses left to be sold

Answer:0.8

Step-by-step explanation:

0.8 can be used for 1 student and 40. :)

The values are;

i, For 1 student, it would take = 1 1/5 days

ii. For 40 students, 48 days

First, we need to know that proportion is an equation made equal to another.

From the information given, we have that;

50 students in a hostel had provisions for 60 days.

This is represented as;

50 students = 60 days

Then, we get that;

i, If 50 students = 60 days

1 students = x days

cross multiply the values

x = 60/50

x = 1 1/5 days

ii.  If 50 students = 60 days

40 students = x days

x = 60(40)/50

divide the values

x = 48 days

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The  equation of line in slope intercept form

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = [tex]\frac{1}{5}[/tex]

Point = (-2, 2)

Required equation of line =

[tex]y - 2 = \frac{1}{5}(x - (-2))\\5y - 10 = x + 2\\5y = x + 2 + 10\\5y = x + 12\\y = \frac{1}{5}x + \frac{12}{5}\\[/tex]

The graph has been attached here.

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The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .

In the question ,

it is given that

the number is x ,

we have to find the expression , that represents the difference of 20 and 3 times a number .

three times the number x is denoted by 3x .

and the difference of 20 and three times the number x is 20 - 3x .

the expression is (20 - 3x).

Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .

The given question is incomplete , the complete question is

Which answer choice represents the difference of 20 and 3 times a number x ?

(a) 3x + 20

(b) 20(3x)

(c) 20 – 3x

(d)  (20 · 3)x

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Answer:

Step-by-step explanation:

$2.40             12.45 mi
___        *        ___          =   ?  ;
1  mi.               1              

The units of miles— "mi" —cancel out to "1" ;

   since:  " mi/ mi = 1 "

  and we have:
    $2.40  * 12.45  =  ?  ;

                             =  $29. 88 ; {using a calculator};

       ⇒ which corresponds to:  Answer choice:  [D]:  $29.88 .
_____
Hope this is helpful!

  Best wishes!
_____

Answer:

48

Step-by-step explanation:

multiply by 4 to make x whole number

-32+x=16

+32 to isolate x

x=16+32

add for answer

x=48

Answer:

0=0

Step-by-step explanation:

Answer: Infinite Solutions

Step-by-step explanation:

Hello! Let's solve this equation.

[tex]\sf{6x-5=6x-5}[/tex]

↓

[tex]\sf{6x=6x-5+5}[/tex]

↓

[tex]\sf{6x=6x}[/tex]

[tex]\sf{6x-6x}[/tex]

↓

[tex]\sf{0}[/tex]

[tex]\textbf{So as you see, all the terms \textit{cancel out.}}\\\textbf{The \textsf{given equation} has \textit{\underline{infinite solutions.}}}\\\textbf{The equation is true for any x-value.}[/tex]

[tex]_ < \!\!\!\rule{300}{1}\!\!\!_ >[/tex]

21 students completed the essay by due date

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.

30 ----------> whole

30 ----------> 100 %

0.3 -----------> 1%

multiplying both sides by 70

21 ----------> 70 %

therefore 21 students completed the essay by due date .

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A fraction can be converted into decimal form by dividing it. The answer to these parts are in main body.

What is a decimal?

When we divide a whole into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.

Main Body:

a) 15/32 = 0.4688

b) 13/64 = 0.2031

c) 9/16 = 0.5625

d) 5/8 = 0.625

e) 7/80 = 0.0875

f) 29/1280 = 0.0227

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Answer: (1/3)x - 8

Step-by-step explanation:

one - third means 1/3

one - third of a number means (1/3)x

       ( x being the number )

Eight less means -8

Eight less than 1/3 of an number is (1/3)x - 8

The measure of each angle of a regular 22-gon is 163.6 degrees.

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

Polygon can be named base on the number of sides they possess. For example pentagon has 5 sides, hexagon has 6 sides, heptagon has 7 sides, octagon has 8 sides, nonagon has 9 sides and decagon has 10 sides.

Therefore, a regular polygon is one which sides and angles are congruent.

A regular  22-gon has 22 sides.

The measure of each angle of 22-gon can be found as follows;

angle= 180(n - 2) / n

where

n = number of sides

angle = 180 (22 - 2) / 22

each angle = 180(20) / 22

each angle = 3600 / 22

Therefore,

each angle =  163.636363636

each angle = 163.6 degrees.

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Answer:

a = 41°

b = 57°

c = 82°

Step-by-step explanation:

all angles in a triangle must add up to equal 180°

Answer:

50.24

Step-by-step explanation:

so u subtract the distanse not 9-4 u have to find a porportional ratio it was 100 - 50 or something add u get 50.24

tbh i didnt knw i just searched it up and im only in 6th grade so im not the the smartest in the world

i have no clue what the second on is so good luck with that

With the help of subtraction we can say that the answer is =21/15

Acc to the question-

Hence,The answer is = 21/15

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Answer:

21/15

Step-by-step explanation:

Given problem,

→ (32/15) - (11/15)

Let's solve the given problem,

→ (32/15) - (11/15)

→ (32 - 11)/15

→ 21/15

Hence, the answer is 21/15.

Answer: Radius is estimated to = 5.2

               Circumference is estimated to = 32.66

Using the circle graph, the costs to attend the public university are as follows:

A circle graph, or a pie chart, is used to visualize information and data.

Therefore, the circle graph is shows the percentage cost for tuition/fees, room, board, and computer costs.

The cost to attend a public university in a recent year is $16,241.

Using the pie chart, let's find the cost of the various fees.

Therefore,

cost of tuition and fees = 36.9% of 16,241

cost of tuition and fees = 36.9 / 100 × 16241

cost of tuition and fees = 599292.9 / 100

Therefore,

cost of tuition and fees = $ 5992.929

cost of room = 31.5% × 16241

cost of room = 31.5 / 100 × 16241

cost of room = $5115.915

Hence,

cost of board = 24.9% of 16241

cost of board = 24.9 / 100 × 16241

cost of board = $ 4044.009

Hence,

computer cost = 6.7% of 16241

computer cost = 6.7 / 100 × 16241

computer cost =  $1088.147

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The proportions of the total rooms that were occupied each year are:

Proportion is the fractional value of a variable when compared to the whole.

Proportions show the ratio or relative relationship between two or more values set as equal.

Like ratios, proportions are depicted in fractions, decimals, or percentages to show how two values compare.

                                          Current Year        Previous Year

Occupied Rooms                       1,512                    1,458

Total Rooms                              1,800                   1,800

Proportion of occupied rooms = 84%                    81%

                               (1,512/1,800 x 100)         (1,458/1,800 x 100)

Thus, on average, room occupancy for the two years is 82.5%, and proportionately for each year, it is 84% for the current year, while the previous year recorded 81%.

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What proportion of the total rooms were occupied each year?

The number of pathology tests that were completed during the year by Levine Labs are 34,800 tests.

Note that Material quantity variation - Material quantity variation describes the cost difference caused by variations in the actual material used and the standard material to be utilized.

Material quantity Variance =

(Actual material used- Standard material used) x Standard cost

(50000-no of test x 1.5) x 0.4 = -880

-2200 = 50000-(No of test*1.5)

No of test x 1.5 = 52,200

No of test =  52,200/1.5

No of test = 34,800

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The number line with the numbers -3, 1 and 3 is shown by the image at the end of the answer.

The correct statements regarding the number line are given as follows:

Integer numbers are numbers that do not have decimal parts, they are either positive or negative, but exact.

These numbers are plotted marking a symbol such as a X or a circle on the number line.

The number line is increasing, so the negative numbers appear before the positive numbers.

This means that if a number a is to the left another number b, the number a is less than b, hence:

As the order in which the numbers appear is given as follows:

-3, 1 and 3.

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Answer: 10 rows of rose plants

Step-by-step explanation:

The number of rose plants in first, second third,..., and last row are respectively.

23,21,19,....,5.

number of rose plants: n

The sequence 23,21,19,....,5 is an A.P. with first term a(=23), common difference d(=−2) and n

=a+(n−1)d

⟹5=23+(n−1)×−2

⟹5=23−2n+2⟹20=2n⟹n=10