Please help me! It’s so hard

The surface area of the plane is π√14 sq. units.

Given plane = x+2y+3z=1 and cylinder = x² + y² = 9

Let J be the projection on the plane x+2y+3z=1

We know that the surface area of an equation is

∫∫j  √{1+(∂z/∂x)² + (∂z/∂y)²} dA

It is given that the plane is inside the cylinder.

We can use the coordinates of the cylinder to get

x = r cosθ and y = rsinθ

Therefore,

x² = r²cos²θ

y² = r²sin²θ

Therefore,

x² + y² =  r²cos²θ + r²sin²θ

= r²(cos²θ + sin²θ)

=  r²                                         [Since cos²θ + sin²θ = 1]

Putting the value of x² + y² in the initial equation we get

r² =  9

or, r = 3

Therefore,

J = {(r,θ)/ 0 ≤ r ≤ 3, 0 ≤ θ ≤ 2π}

Now,

x +2y + 3z =1

or, z = 1/3(1 - x - 2y)

Partially differentiating z with respect to x gives us

∂z/∂x = -1/3

Partially differentiating z with respect to y gives us

∂z/∂y = -2/3

Hence,

Surface Area = ∫∫j √{1+(∂z/∂x)² + (∂z/∂y)²} dA

= ∫∫j √{1+ (-⅓) ² + (-⅔) ²} dA

= ∫∫j √(9+1+4)/√9 dA

= √14 /3∫∫j dA

=√14/2 [2π - 0]

= π√14 sq units

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Answer:

Step-by-step explanation:

59,020

Answer:

When a triangle is enlarged using a scale factor of 1/2 and center (1,9), the resulting triangle will be similar to the original triangle. This means that the angles of the new triangle will be the same as the angles of the original triangle, but the lengths of the sides will be scaled down by a factor of 1/2.

For example, if triangle ABC has vertices at (0,0), (3,0), and (3,4), then the coordinates of the vertices of triangle A'B'C' would be (1,9), (1.5, 9), and (1.5, 9.2), respectively. The side lengths of triangle A'B'C' would be half the length of the corresponding sides of triangle ABC, but the angles would be the same.

It is important to note that the center of the enlargement, (1,9), will not be a vertex of triangle A'B'C'. Instead, it will be the point at which the enlargement is centered, and the resulting triangle will be positioned relative to this point.

Step-by-step explanation:

Answer:

the figue which is translated one unit up and one unit to the right

Step-by-step explanation:

Answer: $8 for 4 cans of soup!

Step-by-step explanation:

We know that a box is $4.50 each, but Lenore had a coupon off 50 cents each, so the price of the box is $4

Lenore bought 2 box

4 times 2 = $8

16 - 8 =8

So the 4 cans of soup cost is $8 or $2 each can of soup

1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.

1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.

1.75x + 0.75 < 2x + 0.25

1.75x + 0.75 -0.75 < 2x + 0.25 -0.75.

x< - 0.0068

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There are 28 ways can-the coach select this pair.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A coach selects 2 of his 8 team members to gather the equipment.

Now,

Since, A coach selects 2 of his 8 team members to gather the equipment.

Hence, Number of ways = [tex]^{8} C_{2}[/tex]

                                      = 8! / 2! 6!

                                      = 8 × 7 / 2

                                     = 28

Thus, Number of ways = 28

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The solution to the expression ( √7 - √2 )² will be - 9 - 2√14. The value of the second part is 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is ( √7 - √2 )². The expression will be solved as below,

E =  ( √7 - √2 )²

E = (√7)² + (√2)² - 2 x √7 x √2

E = 7 + 2 - 2√14

E = 9 - 2√14

The second part will be calculated as,

2/5√(25x3)+(2-√(2x2x6)

2/5 x 5√3 + 2 - 2√3

2√3 + 2 - 2√3

2

The value of the third part will be calculated as,

[tex]\dfrac{(2+\sqrt{2})(\sqrt(10-\sqrt{5}}{(15-10\sqrt{2}}[/tex]

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The vector [v] whose direction is same as that of vector [u] is given as -

[v] = -24i + 45j.

We have the a vector [v] with the given magnitude and the same direction as u.

We can write vector [u] as -

[u] = - 8i + 15j

Unit vector {u} along vector [u] -

{u} = [u] / |u|

{u}  = (- 8i + 15j)/17

We can write vector [v] as -

[v] = 51 x (- 8i + 15j)/17

[v] = 3(- 8i + 15j)

[v] = -24i + 45j

Therefore, the vector [v] is given by [v] = - 24i + 45j.

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Answer:b

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

h=90

90-27=63

The amount of stock that is wasted is given as follows:

1 - 21/64 inches.

The total amount of stock is given as follows:

9 - 7/16 inches long = 144/16 - 7/16 = 137/16 inches long.

The total amount of stock used for the two punches is given by the sum of the two amounts, as follows:

4 - 1/64 + 4 - 3/32 = 8 - 7/64 = 505/64

Then the amount wasted is given by the subtraction of the total amount by the amount used, as follows:

137/16 - 505/64 =  548/64 - 505/64 = 43/64.

The decimal of this is of:

43/64 = 0.671875.

Hence the amount wasted is of:

1 - 43/64 = 64/64 - 43/64 = 21/64

Meaning that the third option is correct.

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The equation of the line is y = (2/3)x + 4

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line.

y = m(1)x + c

The line is parallel to y = (2/3)x + 1

It is in the form of y = m(2)x + c

This means,

m(1) = m(2)

m(1) = 2/3

Now,

The line passes through the point (3, 6).

(3, 6) = (x, y)

y = mx + c

6 = (2/3)3 + c

6 = 2 + c

c = 6 - 2

c = 4

The equation of the line.

y = (2/3)x + 4

Thus,

The equation of the line is y = (2/3)x + 4

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Scale factor of greater than 1 indicates the size of the shape will increases

The scale factor is defined as the ratio between the original size of the figure and the new size of the figure.

The scale factor of the figure maybe greater than 1 or the between 0 and 1

If the scale factor of the figure is between 0 and 1, then the size of the figure will decreases, the new size of the figure will be less than original figure

Similarly, if the scale factor is greater than 1, the size of the figure will increase, new figure will be larger than original figure

Therefore, if the scale factor is greater than 1  the figure will enlarge

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The equation which can be used to find the number is 2n = -4, and the number is -2.

What do you mean by equation?

A mathematical statement which is known as an equation makes two expressions' values equal to each other. It is mathematical statement which says "this is equivalent to that," in different words. It appears to have an equal sign in the centre, with a mathematical expression on the right side, and a mathematical expression on the left side.

Let the number be n,

we have given that the number is being twice.

So, the number becomes 2n

And, it is also given that the this twice of the number is equal to -4.

So the equation becomes as:

2n = -4

on solving this equation, we get n = -2

Therefore, the equation is 2n = -4 and the number is -2.

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The upper bound of the confidence interval is 0.52

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Out of 500 couples in a given city, 238 couples had divorced in the past 20 years. As a result, the sample proportion is calculated as follows:

[tex]P=238/500 = 0.476[/tex]

As a result, the following 95% confidence interval is calculated for the city's divorce rate: [tex]P +(Z_{a}*(\sqrt{\frac{P(1-P)}{y} } )[/tex]

[tex]Z_{a}= 1.96[/tex]

the upper bound of confidence interval = 0.0438 + 0.476

= 0.52

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Answer:

the answer is y=2x+3 hope this helps

Answer:

its 12%

Step-by-step explanation:

i took the test and got it right

Answer: 17%

Step-by-step explanation:

Answer:

1152

why cant you bing it?

Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees by using congruence of triangles.

Two triangles are congruent if their corresponding sides are the same length and their corresponding angles are the same size.

According to the SAS criterion for triangle congruence, two triangles are congruent if they have two pairs of congruent sides and the included angle (the one between the congruent sides) in one triangle is congruent to the included angle in the other triangle.

Given

See the attachment for the triangle.

What evidence do you have?

SAS is used by STU and VTU.

To demonstrate their resemblance, we must examine the corresponding sides and angles of both triangles.

To begin, UST must equal UVT.

As a result, UST=UVT=98⁰.

Then, UV must equal US.

So:

UV = US = 14⁰

Furthermore, ST must equal VT.

So:

Furthermore, ST must equal VT.

As a result, ST = VT = 200.

Finally, TUV must be equal to TUS.

So: TUV = TUS = 450

Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees.

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Answer: 800

Step-by-step explanation: 1.25$ x 800 is 1000

Answer:

840

Step-by-step explanation:

$1000+$50=$1050

$1050/$1.25=840

Answer=840

Answer: to get 1/2 of a number, simply divide it by 2

Step-by-step explanation: the denominator, or the second digit after the numerator, is the one you use to divide a number. for example 1/3 of 33 = 11, as you divide 33 by 3, or 1/2 of 500 = 250.

The quadratic function is f(x) = x² -6x + 16.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Let the standard form of quadratic function polynomial is ax² + bx + c = 0

And the zeros of the equation is (x +2) and (x-8)

Now to find the polynomial,

we multiply both zeros

(x +2)(x -8)

= x² + 2x -8x + 16

= x² -6x + 16

And the function in the standard form.

Therefore, the quadratic function is f(x) = x² -6x + 16.

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Answer: d.

Step-by-step explanation:

To create h, f is translated seven units to the left.

Each part of the question is answered above and the angles are given below.

Given are the angles as mentioned in the question.

[1] -

Since, angle [1] and angle [4] are vertically opposite angles, we can write-

3x + 14 = 5x - 52

14 + 52 = 5x - 3x

2x = 66

x = 33

∠1 = 3x + 14 = 3 x 33 + 14 = 99 + 14 = 113°

∠1 = 113°

[2] -

Since, angle [A] and angle [B] are supplementary angles, we can write-

(3x + 8) + {(2/3)x + 62} = 180

3x + 8 + 62 + (2/3)x = 180

3x + (2/3)x = 110

x{3 + 2/3} = 110

x{(9 + 2)/3} = 110

(11/3)x = 110

x = (110 x 3)/11

x = 30

∠A = 3x + 8 = 3 x 30 + 8 = 98°

∠A = 98°

∠A = (2/3)x + 62 = 2/3 x 30 + 62 = 82°

∠B = 82°

[3] -

Since, angle [2] and angle [3] are  vertically opposite angles, we can write -

13x + 27 = 9x + 59

13x - 9x = 59 - 27

4x = 32

x = 8

∠2 = 13x + 27 = 13 x 8 + 27 = 104 + 27 = 131°

∠2 = 131°

∠3 = 9x + 59 = 9 x 8 + 59 = 72 + 59 = 131°

∠3 = 131°

Therefore, each part of the question is answered above and the angles are given above.

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Answer:

g(x) = (1/2x)^2

Step-by-step explanation:

The function of g(x) is stretched in the graph, so the value is going to be less than 1, which eliminates choice A.

Because the graph g(x) lands on the point (2,1), input this in each of the expressions and see which one is true. C is the only one that truly works.

Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

Explanation:

Meaning of infinitive :

Example of infinitive representing action is:

They will lock the front gate to prevent the house from theft.

To prevent represent the action.

Example: To swim in the deep lake may be dangerous for a person.

Example : i like to read in Sanskrit.

Example : I can't wait to eat.

Therefore,  infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

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The required mean and standard deviation of height J is 69.6 inches and 2.88 inches.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
1 foot = 12 inches,
Mean  = 5.8 feet
Mean = 5.8 (12 inches)
mean  = 69.6 inches,

Now,
Standard deviation = 0.24 (feet)
Standard deviation  = 0.24 (12 inches)
Standard deviation = 2.88 inches

Thus, the required mean and standard deviation of height J is 69.6 inches and 2.88 inches.

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