Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.

The given situation for the price according to the distance is not proportional.

Let the total distance covered by Tino is 'x'.

Let the total price be 'y'.

Then,

y = fixed price + additional price

y = $2 + $0.5x

For x = 1; y = $2.5   ---> x/y = 1/2.5

for x = 1; y = $3   ---> x/y = 2/3

for x = 3; y = $3.5   -----> x/y = 3/3.5

In all situations, ratio x/y is not constant.

Thus, the given situation for the price according to the distance is not proportional.

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The capgemini iot industry 4.0 case provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

The new era of digitization, known as smart industry, includes industry 4.0 but expands well beyond it. Disruptive technologies and data enable use cases that were not previously possible, such as multi-physics modelling, remote operations, digitization of products and processes, driver less cars, linked products, reinvented consumer experiences, and novel as-a-service business models.

We work with customers to uncover new business model options, address industry obstacles, and navigate complicated ecosystems so they can gain and maintain a competitive edge. Using our expertise in engineering, technology, IT, data, and consulting, we inject intelligence into our operations, products, and services. To provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

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Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27

And the minimum value is 0

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.

Here,

The function is given as:

f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex]

[tex]x^{2} +y^{2}+ z^{2}[/tex]=1

=>[tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0

Using Lagrange multiplies, we have:

L(x,y,z,λ)=f(x,y,z) +λ(0)

Substitute f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex]  and [tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0

Differentiate

L(x)=[tex]2xy^{2} z^{2}[/tex]+2λx

L(y)=[tex]2yx^{2} z^{2}[/tex]+2λy

L(z)=[tex]2zx^{2} y^{2}[/tex]+2λz

L(λ)=[tex]x^{2} +y^{2}+ z^{2}[/tex]-1

Equating to 0

[tex]2xy^{2} z^{2}[/tex]+2λx =0

[tex]2yx^{2} z^{2}[/tex]+2λy = 0

[tex]2zx^{2} y^{2}[/tex]+2λz = 0

[tex]x^{2} +y^{2}+ z^{2}[/tex]-1 = 0

Factorize the above expressions

[tex]2xy^{2} z^{2}[/tex]+2λx =0

2x([tex]y^{2} z^{2}[/tex]+λ)=0

2x=0 and ([tex]y^{2} z^{2}[/tex]+λ)=0

x=0 and  [tex]y^{2} z^{2}[/tex]= -λ

[tex]2yx^{2} z^{2}[/tex]+2λy = 0

2y([tex]x^{2} z^{2}[/tex]+λ)=0

2y=0 and ([tex]x^{2} z^{2}[/tex]+λ)=0

y=0 and  [tex]x^{2} z^{2}[/tex]= -λ

[tex]2zx^{2} y^{2}[/tex]+2λz = 0

2z([tex]y^{2} x^{2}[/tex]+λ)=0

2z=0 and ([tex]x^{2} y^{2}[/tex]+λ)=0

z=0 and  [tex]x^{2} y^{2}[/tex]= -λ

So we have ,

x=0 and  [tex]y^{2} z^{2}[/tex]= -λ

y=0 and  [tex]x^{2} z^{2}[/tex]= -λ

z=0 and  [tex]x^{2} y^{2}[/tex]= -λ

The above expression becomes

x=y=z=0

This means that,

[tex]x^{2} +y^{2}+ z^{2}[/tex]=1

[tex]x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1[/tex]

x= ±1/[tex]\sqrt{3}[/tex]

So,

y= ±1/[tex]\sqrt{3}[/tex]

z= ±1/[tex]\sqrt{3}[/tex]

The critic points are

x=y=z=±1/[tex]\sqrt{3}[/tex]

x=y=z=0

Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27

And the minimum value is 0

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Answer:

Step-by-step explanation:

J Square Roots and Cube Roots To find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for square root is equation.

Answer:four eighth notes

Step-by-step explanation:

The inverse for f(x) = 12 - x is f^-1(x) = -x + 12

Define Inverse Function

An inverse function or an anti function is defined as a function, which can reverse into another function.

The given equation is ,

f(x) = 12 - x

We can also write like this,

y = 12 - x

Now, for the inverse just swap x and y like this

x = 12 - y

x - 12 = - y

y = -x + 12

Now, we know

y = f^-1(x) = -x + 12

Hence, f^-1(x) = -x + 12

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The height of the pole will be 3m (approx.)

We have the ground located 4 m from a pole, its upper part can be seen with an elevation angle of 37°.

We can write the height of the pole as -

h = 4 tan(37°)

h = 4 x 0.75

h = 3 m (approx.)

Therefore, the height of the pole will be 3m (approx.)

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[Question in english -

From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]

The markup from cost to sale price was originally 245%.

The markup is the addition put on the cost of an item.

Goods are marked-up to take care of other selling and administrative costs and to achieve an estimated profit.

The cost of the item plus the markup equals the retail selling price.

Selling price = $720

Markdown percentage = 30%

Marked-up selling price before the markdown = $1,029 ($720/0.7)

Markup cost = $420

Markup difference = $609 ($1,029 - $420)

Markup = 245% ($1,029/$420 x 100)

Thus, the item was marked-up by 245% before it was marked down by 30% to $720.

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Answer:

$17,688.00

Step-by-step explanation:

(1200 x 13) + 120 + (164 x 12)

17688

Susan earned $1062.5 as interest after 10 years.

Interest is the amount to be paid on the borrowed money or the amount received on the money lent.

Given that, Susan made a one-time deposit of $2,500 in an investment account. She earned 4.25% interest for 10 years.

SI = PxRxT/100

P = principal = $2500

R = interest rate = 4.25%

T = time = 10 years

SI = 2500x10x4.25/100

SI = 1062.5

Hence, Susan earned $1062.5 as interest after 10 years.

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The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

What is Velocity?

Velocity is a term that describes the speed and direction of a point's motion.

Conservation of momentum states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the two students can be considered a closed system, since no external forces are acting on them.

Therefore, the total momentum of the system before the collision must be equal to the total momentum of the system after the collision.

We can represent the momentum of each student as a vector, where the magnitude is equal to the mass of the student times their velocity and the direction is the direction in which the student is moving. The total momentum of the system before the collision can be found by adding the individual momenta of the two students:

Momentum before collision = (62 kg * 3.80 m/s) + (67 kg * -2.59 m/s)

= 233.6 kg m/s + (-174.53 kg m/s)

= 59.07 kg m/s

After the collision, student A bounces backwards at 1.17 m/s, while student B moves with an unknown velocity in the opposite direction. We can represent the total momentum of the system after the collision as:

Momentum after collision = (62 kg * -1.17 m/s) + (67 kg * v)

where v is the velocity of student B after the collision. We can set the two expressions for total momentum equal to each other and solve for v:

59.07 kg m/s = (62 kg * -1.17 m/s) + (67 kg * v)

v = (59.07 kg m/s + 62 kg * -1.17 m/s) / 67 kg

= (-70.34 kg m/s) / 67 kg

= -1.05 m/s

Therefore, The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

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Answer:

Use a model to find the sum of two fractions with the same denominator

Add fractions with a common denominator without a model

Add fractions with a common denominator that contain a variable h

Step-by-step explanation:

h

The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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Programming or the process of writing algorithms both involve pseudocode. A technique that aids the programmer in defining an algorithm's implementation is pseudocode.

The algorithms are described using pseudocodes in pseudocode algorithms because it is simpler for everyone to understand the pseudo-codes, regardless of programming experience or familiarity with a different programming language.

do{

input=take input

}

While(input not equal to -1)

{

Store in an array for every input

Like append the new input to an array

}

After loop terminates  

Take the average of the array  

By traversing through all elements of an array and store in a variable  

The sum divided by the length of the array gives the average  

IN C language:

#include<stdio.h>

Int main(){

Int input,i=0,sum,avg,are[1000];

Do{

Scanf(“%d”,&input);

}

While(input !=0)

{

arre[i]=input;

i=i+1;

}

Sum=sum(arre[]);

Avg=sum/len(arre);

Printf(“%d”,Avg);

Return 0;

}

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The equation of the line passes through the point (6,2) and slope 1/3 is

X=3Y-3

Here the point is (6,2) and the slope is 1/3

Means,

x=6      y=2   and m=1/3

We know that the equation of a line is -

Y=mx+c

Putting these values in the above equation we get

⇒2=1/3×6+c

⇒2=6/3+c

⇒2=2+c

⇒c=1

Therefore we find that the intercept is 1

So after putting all these values in that equation y=mx+c we get

Y=1/3X+1

⇒X/3=Y-1

⇒X=3Y-3

The equation passes through the point (6,2) and the slope is  1/3 is x=3y-3

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The value of tanA is always less than 1.

What is a number's tan of?

Tangent is the ratio of the side opposite the angle we know or want to know over the side next to that angle, and is sometimes abbreviated as T-A-N.

Describe tan angle A.

The trigonometric ratio between the opposite and adjacent sides of a right triangle that contains an angle is its tangent.

                     Tangent is the mathematical term for the length of the leg that faces the angle and is often abbreviated as "tan." For instance, in the triangle above, tan(A) = 68 or 34 and tan(B) = 86 or 43.

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The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.

here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y   - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800

Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

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Answer:

No

Step-by-step explanation:

Functions must have only one answer for each x. However, in all the x values in this graph there are two answers.

The statement 2) and 5) about the construction are correct.

In geometry, the term "construction" refers to precisely drawing forms, angles, or lines. These structures simply require a pencil, compass, and straightedge (a ruler).

Given this, a design was created by building a standard hexagon.

The construction's real claims are as follows:

2) JKLO is taken to JIHO when it is mirrored across segment OJ. Therefore, quadrilateral JKLO and quadrilateral JIHO are congruent.

5) JKLO is transferred to HGLO when it is reflected over segment OL. Therefore, quadrilateral JKLO and quadrilateral HGLO are congruent.

Therefore, statement 2 and 5 about the structure are true.

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Answer: 122.5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Find the following limit:

lim_(x->∞) (x + 1)/(1 x + sqrt(x)^2 + 1)

(x + 1)/(1 x + sqrt(x)^2 + 1) = (x + 1)/(2 x + 1):

lim_(x->∞) (x + 1)/(2 x + 1)

The leading term in the denominator of (x + 1)/(2 x + 1) is x. Divide the numerator and denominator by this:

lim_(x->∞) (1 + 1/x)/(2 + 1/x)

The expressions 1/x and 1/x both tend to zero as x approaches ∞:

Answer: 1/2

Answer:

1600$

Step-by-step explanation:

By using the SI formula,

[tex]SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$[/tex]$

Option C) 1600$ is correct

Mark me brainliest

Answer:

7.3%

Step-by-step explanation:

Cost for 50 glasses = ₹1500 -----> Cost Price (C.P)

Cost per glass = 1500/50 = ₹30

Here, 4 glasses break. So, she now has

50-4 = 46 glasses

She sold 46 glasses for ₹35 each,

Money earned = 46x35 = ₹1610 -----> Selling Price (S.P)

Since S.P > C.P,

she made a profit = 1610-1500 = ₹110

Profit% = Profit/Cost Price x 100

= 110/1500 x 100

= 7.3%

The value of the variable BC will be equal to 20.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that B is between A and C. AB=19, BC = 4y, AC = 8y-1.

Here If B is between the segment AC the value of BC will be calculated as,

BC = AC - AB

Substitute the values in the above equation and solve for the value of y,

4y = 8y - 1 - 19

4y = 8y - 20

8y - 4y = 20

4y = 20

y = 5

The value of segment BC will be.

BC = 4y

BC = 4 x 5

BC = 20

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For the following data of group of Scandinavians consisting of Swedes, Finns and Norwegians the probability for the following parts will be:

By using the formula, Circular permutation  = (n-1)

Total permutations = 18 - 1 = 17

(a) all the swedes sit together

Total permutations where all the swedes sit together  

= 13 x 5

all swedes sitting on 5 consecutive seats so they can be arranged  times and everyone including Norwegians as a group can be arranged in

Probability that all the swedes sit together = [tex]\frac{13 X 5}{17}[/tex]

(b) that all the Finns and all the Swedes sit together

Total permutations where all the Finns and all swedes sit together =  8 x 6 x 5

Probability that all the Finns and all swedes sit together = [tex]\frac{8 X 6 X 5}{17}[/tex]

(c) that all the Norwegians, Swedes, and Finns sit together.

Total permutations where all the Norwegians, Swedes, Finns sit together = (3-1)

So Probability that all the Norwegians, Swedes, Finns sit together = [tex]\frac{2 X 6 X 5 X 7}{17}[/tex]

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Answer:

A and C similar

Step-by-step explanation:

A: 80/100 = 0.8

B: 100/120 = 0.833...

C: 72/90 = 0.8

Since the ratio of the lengths of the sides of rectangle A and C are equal, the only similar rectangles are A and C.

Answer: A and C similar

Answer:

nnnn

Step-by-step explanation:

hh

Therefore the solution to this problem is the test statistic for the test  is  -0.487

What is test statistics ?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Here,

According to a report on the evening news show, burglaries occurred in 23 out of 197 residences without pets and 10 out of 129 homes with pets.

Let p1 represent the percentage of dog-owning homes who experienced burglaries.

p2 is the population proportion of burglarized homes without canine companions.

Since both population proportions are equal, the null hypothesis (H) is that p1=p2.

A Different Hypothesis, K:p1≠p2 indicates that there is an imbalance between the two population proportions.

The test results that would be utilized in this z-test for proportions with two samples;

                          T.S. = [tex]\frac{(p1^{'} -p2^{'} )-(p1-p2)}{\sqrt{\frac{p1^{'}1-p1^{'}()}{n1} +\frac{p2^{'}(1-p2^{'})}{n2} } }[/tex]~ N(0,1)

where,  p1= sample proportion of households with pet dogs who were burglarized =10/105  = 0.095

p2= sample proportion of households without pet dogs who were burglarized = 24/212 = 0.11

n1= sample of households with pet dogs = 105

n2 = sample of households without pet dogs = 212

So, the test statistics  =  [tex]\frac{(0.0095 -0.11 )-(0)}{\sqrt{\frac{0.095(1-0.095)}{105} +\frac{0.11(1-0.11)}{212} } }[/tex]

                                                                      =  -0.487

Therefore  ,the test statistic for the test is  -0.487

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the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5" overall diameter of the tire is indicated by the first digit.

Remembering that the tire diameter is made up of two sidewalls—the one above the wheel and the one below the wheel hitting the ground—and adding the diameter of the wheel, the sidewall height must be multiplied by two to determine the tire's overall diameter.

given ,

size = 210 / 60R17

The overall diameter of the tire is indicated by the first digit. The tire diameter or "height" in this illustration is 210 inches tall. The tire's breadth is shown by the second digit. When using tires with inch measurements, the width will typically contain a.50 decimal after the first digit.

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5"

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[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands