9+2×42+6-2

Please show the work​

Parameterize S by the vector function

[tex]\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle[/tex]

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

[tex]\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle[/tex]

The integral of the field over S is then

[tex]\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv[/tex]

[tex]\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv[/tex]

[tex]\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}[/tex]

An equation is formed of two equal expressions. The number of seats in row 18 will be 119.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given the number of seats that the first row can have is 11, while the number of seats that the next row should have is six more than the previous one. Therefore, the number of seats will increase linearly.

Thus, the equation for the number of seats in any row can be given as y=11+6x, where y is the number of seats and x is the number of row.

B.) The number of seats in row 18 will be equal to,

y = 11 + 6x

y = 11 + 6(18)

y = 11 + 108

y = 119

Hence, the number of seats in row 18 will be 119.

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Answer:

Parabola in vertex form: y = a(x - h)2 + k

Vertex: (h, k) = (3, 2) and (x, y) = (13, 8)

y = a(x - h)2 + k

y = a(x - 3)2 + 2 <== with substitution (h, k) = (3, 2)

8 = a(13 - 3)2 + 2 <== with substitution (x, y) = (13, 8)

8 = a(10)2 + 2

100a = 8 - 2 ==> 100a = 6 ==> a = 6/100 ==> a = 3/50

Parabola in vertex form: y = a(x - h)2 + k

y = (3/50)(x - 3)2 + 2  (Final Answer - Parabola in vertex form)

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

Parabola has the equation:

y=k*(x-5)²+8

if x=3, y=-2: -2=k*(-2)²+8 ==> 4k=-10==> k=-5/2

So y=-5/2(x-5)²+8

The worth of the cd at the end of 7 years will be $384,101.79.

When an investment earns an interest that is compounded continuously, it means that it earns interest continuously.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

2375 x (e^3.14) x 7 = $384,101.79

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Answer:

3 and 4

Step-by-step explanation:

given that the difference is 7, two numbers that add up to 7 are 3 and 4.

Answer:

a

Step-by-step explanation:

anything less than 18 is wrong

Answer:

B: r² + 2r = 4

Explanation:

[tex]\rightarrow \sf 3x^2+6x=12[/tex]

divide both sides by 3

[tex]\rightarrow \sf x^2+2x=4[/tex]    ← This is the result of the first step.

factor out the common term

[tex]\rightarrow \sf x(x+2) = 4[/tex]

set to 0

[tex]\rightarrow \sf x = 4, \ x+2 = 4[/tex]

simplify

[tex]\rightarrow \sf x = 4, \ x= 2[/tex]

Divide all terms by a i.e 3

We get

Or

Option B is correct

Answer:

66

Step-by-step explanation:

6(n² + 2)

6(3² + 2)

6(9 + 2)

6(11)

66

Answer:

Step-by-step explanation:

~1

Given Polynomial:

To Find:

Solution:

Substitute x = -2 onto the given polynomial,as we need to find f(-2),so x = -2.

Simplify using PEMDAS,then.

Hence, f(6) = -14

[tex] \rule{225pt}{2pt}[/tex]

~2

Given polynomial:

To Find:

Solution:

g(x) = -4x-1

Substitute x = 7 onto the given polynomial,as we need to find g(7),so x = 7.

Simplify using PEMDAS.

Hence, g(7) = -29.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

x = 1

Step-by-step explanation:

-33 + 8x = -9x - 18 + 2

8x+ 9x = -18 + 2 + 33

17x = -16 + 33

17x = 17

x = 1

give me brainliest please!

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Answer: 453.592 grams

Step-by-step explanation:

I searched it up online. But if you're going to use this to calculate. Use 454 grams.

Answer:

453.592 rounded would be 454* grams witch is equal to 1 pound

Step-by-step explanation:

1 pound is equivalent to __453.592 or just say 454*__ grams.

Had to fix that hehehe

Hope This Helped

Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

To answer the question, we need to know what scale is

A scale is the ratio of two dimension and it is given on a scale drawing.

Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.

Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft

So, the actual dimensions of her desk are

1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in

= 5/4 × 1 in by 9/4 × 1 in

= 5/4 × 2 ft by 9/4 × 2 ft

= 5/2 ft by 9/2 ft

= 2 ¹/₂ ft by 4 ¹/₂ ft

So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

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The cuboid can hold 27.2 cubic inches of popcorn

A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.

Analysis:

Volume of cuboid = length x width x height

                              = 5 x 3 x 29/4 = 108.75 cubic inches

When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches

In conclusion, the volume of the cuboid is 27.2 cubic inches.

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Answer: A.) y=4+x

Step-by-step explanation:

The number of winners that Heather can expect is 300.

The first step is to determine the total number of winners to the total number of players using the information in the table.

Ratio = 180 / 450 = 0.40

Number of winners if there are 750 players = 0.40 x 750 = 300 winners

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Answer:

You will be 55

Step-by-step explanation:

Answer:

D) 65°

Step-by-step explanation:

Use Snell's Law

[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]

Thus, the angle of incidence is D) 65°

Answer:

Sides other than hypotenuse of an isosceles triangle are equal.

Let the other two sides be x each.

Using pythagoras theorem

x

2

+x

2

=(5

2

)

2

2x

2

=50

⇒x

2

=25

⇒x=5cm

So the other two sides are 5cm each.

Answer:

2 feet

Step-by-step explanation:

1 foot = 12 inches

2 feet=24 inches

Answer:

2 feet

Step-by-step explanation:

12 x 2 is 24.

The possible values of N from the given probability parameters is; N equals 15 or 21

We are told that;

Number of pens in the box = N

Let the number of red pens be x

Thus; number of black pens = x + 3

Thus;

x + x + 3 = N

x = (N - 3)/2

The probability that she will take a black pen followed by a red pen is;

P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)

Plugging in he relevant values and solving for N gives ;

Solving for N gives N equals 15 or 21

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Answer:

[tex]6n \geq -24[/tex]

Step-by-step explanation:

First let's provide a variable for "a number" and call it [tex]n[/tex].

So "six times a number" could be written as [tex]6*n[/tex].

"Is at least" in mathematical terms means "greater than or equal to" or

≥

Putting this altogether gives the expression:

[tex]6n\geq -24[/tex]

To solve this problem, we just have to substitute the values into the exponential equations and solve.

In the given exponential equation, we simply need to plug in the values of x from 0 to 5

[tex]y = 4(3)^x[/tex]

when x = 0

[tex]y = 4(3)^x\\y = 4(3)^0\\y = 4[/tex]

when x = 1

[tex]y = 4(3)^x\\y = 4(3)^1\\y = 12\\[/tex]

when x = 2

[tex]y = 4(3)^2\\y = 36[/tex]

when x = 3

[tex]y = 4(3)^3\\y = 108[/tex]

when x = 4

[tex]y = 4(3)^4\\y = 324[/tex]

when x = 5

[tex]y = 4(3)^5\\y = 972[/tex]

From the calculations above, the value of y when x is from 0 to 5 are

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The measure of angle b is 112° and the measure of angle c is 68°

From the question, we are to determine the measures of the missing angles

From the diagram,

b = 112° (Vertically opposite angles)

∴ b = 112°

Also,

112° + c = 180° (Sum of angles on a straight line)

c = 180°- 122°

∴ c = 68°

Hence, the measure of angle b is 112° and the measure of angle c is 68°

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Answer: f(x) = x - 2x² + 1

              x=-b/2a

              (1/4,9/8

   2.      f'(x) = 4x³ - 4x

            ((\sqrt(3))/(3),-(8\sqrt(3))/(9))is a local minima

             (-(\sqrt(3))/(3),(8\sqrt(3))/(9))is a local maxima

Step-by-step explanation: hopes this help

                                        please mark me as a brainliest

The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m

Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.

It is represented in cubic units.

Formula:

Volume, V = length × breadth × height

Given the values;

7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m

Multiply all the lengths

Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3

= 69.6 × 10^-8

= 6. 96 × 10^ -7 m

Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m

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Answer:

A

Step-by-step explanation:

trust

Step-by-step explanation:

first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.

if the "d"iameter of the pie is 30, then its radius must be half that, or 15.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =42 \end{cases}\implies \begin{array}{llll} A=\cfrac{(42)\pi (15)^2}{360}\implies A=\cfrac{105\pi }{4} \\\\\\ \stackrel{using~\pi =3.14}{A\approx 82.43} \end{array}[/tex]

Answer:

The correct answer is 742,000

Step-by-step explanation:

Answer:

742,000

Step-by-step explanation:

Please give me brainlist

I used exemplar. the mean means add all the numbers and divide it buy how many there are.

5 + 7 + 9 = 21

21/3 = 7

0 3 4 6 6 7 7 7 9

Median = 6  (the middle number)

Mode = 7 (the most common number)

Range = 9 (Biggest number - smallest number)

Hope this helps!

If not then let me know!