Let S be the surface parametrized by X(u, v) = (u, v, u^2 + v^2)
and α(t) = (2cos(t), 2sin(t), 4) be a curve on S. Find the normal
curvature and geodesic curvature of α.

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Answer:

Choice B

Step-by-step explanation:

4n (product of 4 and n) + 13 (13 more)

Answer:

B

Step-by-step explanation:

Answer:

b+52<72

Step-by-step explanation:

Step-by-step explanation:

A o option

-(-45)

hope it helps

Answer: 5/2x-3

Step-by-step explanation: you would subtract 6 from both sides.

5x = 2y + 6

-6            -6

6-6=0 so they would cross out. and you can't subtract 5x from 6 because they aren't like terms. Your new equation would look like 5x-6 = 2y.

Now you need to get the y alone. To do that you need to divide everything by 2 so that the 2y crosses out. 5x-6 = 2y

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

                                                                             2    2    2

I'm trying to visually show it sorry if it looks weird. one you divide everything. (5/2) (-6/2) (2/2) you'll need to clean everything up.

Since you can't simply 5/2 leave it as a fraction. Which makes your answer: 5/2x - 3 = y or y = 5/2x - 3

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Answer:

61.538

Step-by-step explanation:

To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.

For the first inequality, -2x + 4 < 8, we will isolate x:

-2x + 4 - 4 < 8 - 4

-2x < 4

Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):

x > -2

For the second inequality, 3x + 4 ≤ -5, we isolate x:

3x + 4 - 4 ≤ -5 - 4

3x ≤ -9

Dividing both sides by 3:

x ≤ -3

Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.

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The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

Answer:

================

Add 2 to both sides of equation:

Then follow the steps:

Take square root of both sides to get:

We are taking the positive value as we are told x > 0, hence the answer is 7.

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\( \qquad❖ \: \sf \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 47\)

\( \qquad❖ \: \sf \: {x}^{2} + \cfrac{1}{ {x}^{2} } + 2 - 2 = 47\)

( adding and subtracting 2, doesn't change the value )

\( \qquad❖ \: \sf \: {x}^{2} + \cfrac{1}{ {x}^{2} } + 2 = 47 + 2\)

\( \qquad❖ \: \sf \: {x}^{2} + \cfrac{1}{ {x}^{2} } + \bigg(2 \sdot x \sdot \cfrac{1}{x} \bigg) = 49\)

( x cancel out, so no change in value )

\( \qquad❖ \: \sf \: \bigg(x + \cfrac{1}{x} \bigg) {}^{2} = 49\)

( use identity a² + 2ab + b² = (a + b)² )

\( \qquad❖ \: \sf \: \bigg(x + \cfrac{1}{x} \bigg) {}^{} = \sqrt{49} \)

\( \qquad❖ \: \sf \: x + \cfrac{1}{x} {}^{} = \pm7\)

since we have to take positive value, i.e greater than 0

\( \qquad❖ \: \sf \: x + \cfrac{1}{x} {}^{} = 7\)

\( \qquad \large \sf {Conclusion} : \)

Therefore, the required value is 7

Answer:

-1

Step-by-step explanation:

I did it in my calculator soo i'm pretty sure its right

Answer:

2x + 3x - 2y + 4y +7

Step-by-step explanation:

2x and 3x added together is 5x

2y and 4y added togther is 6y

and i left 7 alone, but you could do something to it if you'd like to

The expression can be written in another way, as 88 ÷ 4 - 2 x 1 = 22 - 2 = 20. Hence, 88:4-2x1 = 20.

To solve the expression 88:4-2x1, we must use the order of operations. The order of operations is an agreed upon set of rules that help us determine which operation to carry out first.

The order of operations is often abbreviated as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Firstly, we need to perform multiplication, because multiplication and division come before addition and subtraction. We are multiplying 2 by 1, which equals 2.

Next, we need to perform division because it is the next operation in the PEMDAS order. We are dividing 88 by 4, which equals 22. Finally, we perform subtraction by subtracting 2 from 22. Therefore, the final answer is 20.

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The solution to the equation 88:4-2x1 is 20. This is obtained by applying the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

To solve this mathematical equation, we must follow the order of operations. The acronym PEMDAS is commonly used to remember this order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Applying this order to 88:4-2x1=?, we first perform the division operation: 88 ÷ 4 = 22. The equation becomes 22 - 2x1.

Next, we do the multiplication: 2 * 1 = 2. The equation becomes 22 - 2.

Finally, we perform the subtraction: 22 - 2 = 20. Therefore, 88:4-2x1 equals 20.

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Answer:

Step-by-step explanation:

76

Answer:

34 degrees

Step-by-step explanation:

72+74= 146 180-146=34

The length of arc length is,

⇒ Arc length = 1,365 m

And, Area of the bold sector is,

⇒ A = 83.3 m²

We have to given that,

In a circle,

Radius = 7 m

Central angle = 195 degree

Since, We know that,

The length of arc length is,

s = r × θ

Where, r is radius and θ is central angle.

Substitute all the values, we get;

Arc length = 7 x 195

Arc length = 1,365 m

And, We know that,

Area of sector is,

⇒ A = (θ/360) πr²

Substitute all the values, we get;

⇒ A = (195/360) × 3.14 × 7²

⇒ A = 83.3

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I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

Not all rational numbers a and b satisfy the equation |a+b|=|a|+|b|.

As a result, |a+b|=|a|+|b|.

If |a+b|=|a|+|b| for all rational numbers a and b, we must verify this.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals).

Now,

a=-3 and b=5

|-3+5|=|-3|+|5|

⇒2≠8

A = 2 and B = 4

|2+4|=|2|+|4|

⇒6=6

As a result, we realized from the examples above that |a+b|=|a|+|b| isn't always true.

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Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.

Given that,

We have to find how will the results of a chi-square test be affected if there is a significant discrepancy between the expected and observed frequencies.

We know that,

If the observed values and expected values have a large difference then the chi-square value will be in large quantity that provides evidence against the null hypothesis and explain the huge difference between the sample data and null hypothesis.

The Chi-square statistic is,

X²=Σ i,j=0 to n (O i, j-E i,j)²/E i,j

Where,

O is the observed frequency value.

E is the Expected frequency value.

Therefore, Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.

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Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

The value of side x in the triangle is 18.1.

In trigonometry, sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

To find the length of side x in the triangle, we use sine rule formula below.

Formula:

From the diagram in the question,

Given:

Substitute these values into equation 1

Make x the subject of the equation

Hence, the value of x is 18.1

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Answer:

The Mona Lisa

Step-by-step explanation:

Da Vinci?

Answer:

123 degrees

Step-by-step explanation:

Congruent angels. 180 - 57 = 123

given y+2x-4=0

y= - 2x +4 there for m1= -2

m2= -1/m1 => -1/-2

=1/2

y - (-1) = 1/2 ( x - 4 )

y + 1 = ( 1/2 )x - 2

y = ( 1/2 )x - 1 or 2y = x - 2

Get 10 mil cause y not

Answer:

384 dog

Step-by-step explanation:

4*12= 48*8 is 384

The tile of the given picture above would be =

N= $96

A= $225

W= $1200

D= $210

E= $31.50

R= $36

P = $27

S = $840

Therefore the title of the picture above would be = SPDERWNA.

To determine the tile of the picture, the different codes needs to be solved through the following calculations as follows:

For N =

Simple interest = Principal×time×rate/100

principal amount= $800

time= 2 years

rate = 6%

SI= 800×2×6/100

= $96

For A=

principal amount= $1,250

time= 2 years

rate = 9%

SI= 1,250×2×9/100

= $225

For W=

principal amount= $6,000

time= 2.5 years

rate = 8%

SI= 6,000×2.5×8/100

= $1200

For D=

principal amount= $1,400

time= 3 years

rate = 5%

SI=1,400×3×5/100

=$210

For E=

principal amount= $700

time= 1years

rate = 4.5%

SI=700×4.5×1/100

= $31.50

For R=

principal amount= $50

time= 10 years

rate = 7.2%

SI= 50×10×7.2/100

= $36

For O=

principal amount= $5000

time= 3years

rate = 12%%

SI=5000×3×12/100

= $1,800

For P=

principal amount= $300

time= 0.5 year

rate = 18%

SI= 300×0.5×18/100

= $27

For S=

principal amount= $2000

time= 4 years

rate = 10.5%

SI= 2000×4×10.5/100

= $840

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Answer:

2

Step-by-step explanation:

2x(5+4)=(_x5)+(_x4)

lets start with 2x(5+4)

(5+4)=9

so we are left with 2x9

2x9=18

so now we have 18=(_x5)+(_x4)

lets try 2 for the blank spaces

18=(2x5)+(2x4)

2x5=10

2x4=8

10+8=18

2x(5+4)=(2x5)+(2x4)

It worked! Hope this helps :)

Answer:

Both blanks equal 2.

Step-by-step explanation:

2*5=10

2*4=8

10+8=18

9*2=18

Unit normal: N= 2i+3j + 1/√73k

The standard form of the equation of the tangent plane at (1,1,3) is x - 4y + z - 3 = 0.

To find the normal vector, we first need to find the partial derivatives of the surface equation with respect to x and y. Using the chain rule, we get:

∂z/∂x = 2xe^(x²−y²) ∂z/∂y = -2ye^(x²−y²)

At the given point (1,1,3), these partial derivatives evaluate to:

∂z/∂x = 2e^0 = 2 ∂z/∂y = -2e^0 = -2

So the gradient vector of the surface at (1,1,3) is:

grad(z) = <2, -2, ze^(x²−y²)> = <2, -2, 3>

To find a unit normal vector, we need to divide the gradient vector by its magnitude:

|grad(z)| = √(2² + (-2)² + 3²) = √(17 + 9 + 4) = √(30)

So the unit normal vector is:

N = (1/√(30)) <2, -2, 3> = (1/√(30)) <2, -2, 3>

Note that there are two possible unit normal vectors, since we could also multiply this vector by -1.

Now we need to find the equation of the tangent plane. We know that the tangent plane has the form:

ax + by + cz + d = 0

where (a, b, c) is the normal vector we just found, and (x, y, z) is any point on the plane. We also know that the plane passes through the point (1,1,3), so we can substitute these values into the equation to get:

a(1) + b(1) + c(3) + d = 0

Simplifying this equation, we get:

a + b + 3c + d = 0

To fix a unique solution, we are given the coefficient of the z component, which is 1. So we can set c = 1 and solve for the other coefficients:

a + b + 3 = 0 a + b = -3

We can choose any values for a and b that satisfy this equation, as long as they are not both zero. For example, we can choose a = 1 and b = -4, or a = -3 and b = 0. Either way, we get:

Tangent plane: x - 4y + z - 3 = 0

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There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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