HELP. Rewrite the following polynomial in standard form

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

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Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

The area of trapezoid ABCD is 50 square units.

The formula for the area of a trapezoid is given by: area = (1/2) \(\times\) (base1 + base2) \(\times\) height.

In this case, base1 is AB and base2 is CD, and the height is given as 5 units.

Substituting the values into the formula, we have:

Area \(= (1/2) \times (8 + 12) \times 5\)

\(= (1/2) \times20 \times 5\)

\(= 10 \times5\)

= 50 square units.

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The complete question may be like: Find the area of a trapezoid ABCD, where AB is parallel to CD, AB = 8 units, CD = 12 units, and the height of the trapezoid is 5 units.

Answer:

option B

Step-by-step explanation:

since an obtuse angle is that which is greater than 90° but lesser than 180°.

An actue angle is that from o° to 90°

A right angle is from 90°

A straight angle is from 180°

Answer:

9

Step-by-step explanation:

BECAUSE 54 : 2,3,9. and 45 : 5,9. so the greatest common factor is 9

Given:

Brian and Ali take turns picking a jelly bean without looking

Required: Dependent or independent event

Explanation:

Brian picked a jelly bean first and after Ali picked second. The probability of Ali picking up depends on the jelly bean.

Hence the events are depndent.

Final Answer: Dependent events

Answer:

f(x) = -1/2x² + 3/2x - 2

f(0) = (-1/2 × 0²) + (3/2 × 0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

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Answer:

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Step-by-step explanation:

1. Negative × positive = negative

- × + = -

2. positive ÷ negative = negative

+ ÷ - = -

3. positive ÷ positive = positive

+ ÷ + = +

4. negative x negative = positive

- × - = +

5. negative ÷ positive = negative

- ÷ + = -

6. positive x positive = positive

+ × + = +

7. negative ÷ negative = positive

- ÷ - = +

8. positive x negative = negative

+ × - = -

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Note: when the signs are different, they will give negative

When the signs are the same, they will give positive

Complete Question

If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?

Answer:

3 quarts of paint

Step-by-step explanation:

The Logo is rectangular in shape, hence:

The area of a rectangle = Length × Width

The logo has dimensions of 6 ft and 11ft.

Area of the Logo = 6ft × 11ft = 66ft²

He needs a quart of paint for every 22 square ft

Hence:

22 ft² = 1 quart of paint

66ft² = x

Cross Multiply

22 ft² × x = 66 ft² × 1 quart

x = 66 ft² × 1 quart/22 ft²

x = 3 quarts of paint

Therefore, he will need 3 quarts of paint for the whole logo.

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Yes, the slant shear test is a common method used to evaluate the bond strength of resinous repair materials to concrete.

In this test, cylinder specimens are used, which are made by bonding two identical halves at a 30° angle to each other. The specimen is then placed in a testing machine, and a shear force is applied to the bonded area until the specimen fails. The maximum force that the specimen can withstand before failure is recorded, and this value is used to determine the bond strength of the repair material.

The slant shear test is a widely accepted method because it is relatively easy to perform and provides accurate results. It is also useful for determining the effectiveness of different types of repair materials and adhesives, and for evaluating the durability of the bond over time.

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Answer:

76.16kg

Step-by-step explanation:

68kg x (1+0.12)

the x (1+0.12) shows we are increasing by 12%

can also be written as

(68kg x 1) + (68kg x 0.12)

Answer:

30

Step-by-step explanation:

2x30=60

3x30=90

60+90+30=150

Answer:

2 I believe

Step-by-step explanation:

sorry if im wrong

The sidereal time tomorrow at 8 p.m. will be 4 hours 56 minutes .

A sidereal day is the amount of time needed by earth to complete one rotation. And the time for one sidereal day is 23 hours 56 minutes and 4.1 seconds. In the solar system , starts appear at the same location at the same time ,each sidereal day. The 4 minutes difference between the solar day and the sidereal day is visible by watching the stars rise 4 minutes earlier every night. So if any star is rising at 7p.m today , it will rise at 6:56 p.m. tomorrow and at 6:52 p.m. the following day.

Similarly if the sidereal time today is 8p.m. , tomorrow it will be four minutes less i.e.  at 4 hours 56 minutes.

The sidereal time helps scientists keep a good track of time without worrying about the position of earth with respect to the sun.

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

you multiply the denominator with the denominator and the numerator with the numerator

\(\frac{5}{6}x\frac{2}{5}\)

\(\frac{5x2}{6x5}\)

\(\frac{10}{30}\)

\(\frac{1}{3}\)

Hopes this helps please mark brainliest

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

Answer:

the answer is d = 56 (12) = 6672 meters

she fall 6672 meters during these 12 seconds

Answer: The rate of change is 5.

Step-by-step explanation:

Our equation is:

f(x) = x^2 + 4x + 5

And we want to find the rate of change in the range −1≤ x ≤2

when we want to find the rate between x1 ≤ x ≤ x2

we have:

Rate = (f(x2) - f(x1))/(x2 - x1)

So we have:

Rate = ( f(2) - f(-1))/(2 - 1)

Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5

The rate of change is 5.

The moon disappearing and the sun coming out in the daytime is not related to the moon's rotation but rather to the Earth's rotation away from the sun

The correct answer is option b: Earth is rotating away from the sun.

During the daytime, when the sun is visible in the sky, it means that the Earth is in a position where the sunlight is reaching its surface. Daytime occurs when the hemisphere of the Earth that we are on is facing toward the sun. This is because the Earth rotates on its axis, causing different parts of the planet to face the sun at different times.

The moon's visibility during the daytime is unrelated to the sun's presence in the sky. The moon's visibility depends on its position in its orbit around the Earth and its relative position to the sun. The moon orbits the Earth, and its position and phase change throughout the month, causing it to sometimes be visible during the day and other times visible during the night.

Therefore, the moon disappearing and the sun coming out in the daytime is not related to the moon's rotation but rather to the Earth's rotation away from the sun, allowing sunlight to reach the Earth's surface during daylight hours.

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The probability that the mean of a sample of 7777 computers would be less than 82.59 months is 100%, or close to 1.

The probability that the mean of a sample of 7777 computers would be less than 82.5982.59 months, assuming a mean life of 80 months and a variance of 6464, can be calculated using the central limit theorem and the standard normal distribution.

First, we calculate the standard error of the mean using the formula:

standard error of the mean = σ/√n

where σ is the population standard deviation, n is the sample size.

Here, σ² = 6464, so σ = √6464 = 80.3

n = 7777

standard error of the mean = 80.3/√7777 ≈ 0.907

Next, we calculate the z-score using the formula:

z = (\(\bar{x}\) - μ) / (σ/√n)

where \(\bar{x}\) is the sample mean, μ is the population mean, σ is the population standard deviation, n is the sample size.

Here, \(\bar{x}\) = 82.59, μ = 80, σ = 80.3, n = 7777

z = (82.59 - 80) / (80.3/√7777) ≈ 8.6

We find that the probability of z being less than 8.6 is very close to 1, or 100%.

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120 of the 720 students travelled on foot

A pie chart is a graph or chart that graphically represents data in a circle with each pie slice showing the size of data.

From the pie chart attached, the proportion of students that walked is 60°, hence for 720 students:

Number of those who travelled on foot = (60 / 360) * 720 = 120

120 of the 720 students travelled on foot

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Answer:

11 pounds of flour and 16.5 sticks of butter

Step-by-step explanation:

2/64 = 0.03125

3/64 = 0.046875

0.03125 * 352 = 11

0.046875 * 352 = 16.5

Answer:

15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.

Step-by-step explanation:

To calculate

�

(

4

)

�

�

dw

d(4)

​

, we need to find the derivative of the function

�

(

�

)

=

3

�

5

7

−

8

�

4

7

m(w)=3

7

w

5

​

−8

7

w

4

​

 with respect to

�

w.

To find the derivative of the given function, we can use the power rule and the chain rule of differentiation. Applying the power rule, we differentiate each term separately and multiply by the derivative of the inner function.

The derivative of

3

�

5

7

3

7

w

5

​

 is

3

7

⋅

5

�

5

7

−

1

=

15

7

�

−

2

7

7

3

​

⋅5w

7

5

​

−1

=

7

15

​

w

7

−2

​

.

Similarly, the derivative of

8

�

4

7

8

7

w

4

​

 is

8

7

⋅

4

�

4

7

−

1

=

32

7

�

−

3

7

7

8

​

⋅4w

7

4

​

−1

=

7

32

​

w

7

−3

.

Combining these derivatives, we get

�

(

4

)

�

�

=

15

7

�

−

2

7

−

32

7

�

−

3

7

dw

d(4)

​

=

7

15

​

w

7

−2

​

−

7

32

​

w

7

−3

​.

Since we are only interested in the derivative itself, we don't need to evaluate it at a specific value of w.

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Answer:

a juice bo has 20% more juice than the original package. the original package holds 12 ounces.

first find what 100% of 12 is. 12 obvi. then divide 12 by 10 to get what 10% is. 10% of 12 is 1.2 so multiply 1.2 by 2 which is 2.4, and thats 20% of 12.

now add 2.4 to 12, and you get 14.4, how much the new juice box holds

Answer:

Step-by-step explanation:

 8     6     9      5    10     4     11

 1st = 3rd - 1

  3rd = 5th - 1 and so on

2nd = 4th + 1

4th = 6th + 1

6th = 8th + 1

 8th = 6th - 1

         =  4 - 1

         = 3

Answer:

a=23

Step-by-step explanation:

angle a, b,c and are congruent

3a-9+3a-9+3a-9=180

combine like terms

9a-27=180

add 27 on both sides

9a=209

divide by 9 on both sides

a=23

Answer:

7: 1

Step-by-step explanation: