The tangent plane to the surface with equation at the point (x, y, z) = (4,1,260) has the equation z =_____ (z= x ln(y) + x⁴ y + 4)
(write the appropriate function of x and y)

Question  

A sphere has a radius of 6 centimeters. What is the volume of the sphere

Given:  

r = 6 cm

Formula:

V = (4/3)πr

Solution:  

V = (4/3)πr

V = (4/3)(3.14)(6)

V = 25.12 cm³

Final Answer:  

25.12 cm³

The Solution:

We are to name each of the polynomials based on their number of terms and degrees.

Thus, all the answers are correct as ticked in the above pictures.

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

The required perimeter of the given figure will be 60.84 m.

We have been given the figure which is made up of a rectangle and half a circle.

We have to determine the perimeter of the given figure.

As per the given figure, the required solution would be as:

The required perimeter = 2 × (rectangle's length) + rectangle's width + circumference of half a circle

The required perimeter = 2 × 15 + 12 + π × 6

The required perimeter = 30 + 12 + 3.14 × 6

The required perimeter = 30 + 12 + 18.84

Apply the addition operation, and we get

The required perimeter = 60.84 m

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Answer: 3n - 1

Step-by-step explanation:

n = the number

3n - 1

One less is subtracting one.

Answer:

\(1-3\)n

Step-by-step explanation:

One less 3 times a number.

1 less is 1-.

3 times a number would be 3n.

So, we get

\(1-3n\)

The correct answer is d. None of these.

a. {L_L, LLU, LUL, LUU, ULL, ULU, UUL, UUU} represents the sample space of possible outcomes, where L represents a locked door and U represents an unlocked door. Each outcome represents a possible combination of locked and unlocked doors that Nanette may encounter.

b. {LLU, LUL, ULL, UUL, ULL, LUU} is not a complete sample space, as it is missing some possible outcomes. For example, the outcome where all doors are locked (LLL) is not included.

c. {LLL, UUU} is also not a complete sample space, as it only includes two possible outcomes. There are other possible combinations of locked and unlocked doors that are not represented.

Therefore, the correct answer is d. None of these. The complete sample space would include all possible combinations of locked and unlocked doors for the three doors that Nanette must pass through.

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Answer:

11, 10

Step-by-step explanation:

n(B') = 2+5+12 = 19 ; the numbers that are not included in B

n(B∩C) = y-1 +9  = y+8 ; what belongs to both B and C

a)

n(B') = n(B∩C)

19 = y +8 ; subtract 8 from both sides

19-8 = y-8+8

11 = y

b)

n(A∪B∪C) =y -1 = 11 -1 = 10 ; is what belongs to A and B and C in the same time

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

AnswerB:

Step-by-step explanation:

it’s just B dude

Answer: Pretty sure its the third one, Brainliest is helpful

Step-by-step explanation:

Answer:

27cm²

Step-by-step explanation:

Chop the irregular shape into two rectangles!

(I divided by the inner corner next to the 5cm mark across to the side with no label at all on the left)

6x2=12 (longer rectangle)

5x3=15 (shorter rectangle)

12+15=27cm²

I hope this helps! :)

Given a sample mean is 82, the sample size is 100, 90% confidence level and the population standard deviation is 20, the margin of error is 3.29.

To calculate the margin of error, we need to use the formula:

Margin of error = Z-score * (population standard deviation / square root of sample size)

Where the Z-score corresponds to the confidence level. Since we have a 90% confidence level, the Z-score is 1.645.

Plugging in the given values, we get:

Margin of error = 1.645 * (20 / sqrt(100))
Margin of error = 1.645 * 2
Margin of error = 3.29 (rounded to 2 decimals)

Therefore, the margin of error is 3.29.

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Answer:

(2,-1) and 5

Step-by-step explanation:

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

c.

Step-by-step explanation:

12-7=5

6-1=5

Answer:

Step-by-step explanation:

C6

To find the dimensions of the largest enclosure the farmer can build, we need to use optimization.

Let the length of the barn = L and width of the rectangular enclosure = W

Let's draw the rectangular enclosure as shown below:

From the problem statement, the enclosure is to be partitioned into 3 sections of equal area.

Summary: The farmer can build the largest rectangular enclosure having dimensions 750 feet x 1500 feet using 3000 feet of fencing material. The rectangular enclosure is partitioned into 3 sections of equal area.

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Answer:

the answer is 10

Step-by-step explanation:

the answer is 10 because -4 multiplied by -5 is 20 and 20-10=10

The logical expression that is equivalent to ¬∀x∃y(P(x)∧Q(x,y)) is ∀x∃y(¬P(x)∨¬Q(x,y)) i.e., the correct option is option D.

To determine the equivalent logical expression, we need to apply De Morgan's laws and quantifier negation rules.

Starting with the given expression ¬∀x∃y(P(x)∧Q(x,y)), let's break it down step by step:

Apply the negation of the universal quantifier (∀x) to get ∃x¬∃y(P(x)∧Q(x,y)).

This step changes the universal quantifier (∀x) to an existential quantifier (∃x) and negates the following expression.

Apply the negation of the existential quantifier (∃y) to get ∃x∀y¬(P(x)∧Q(x,y)).

This step changes the existential quantifier (∃y) to a universal quantifier (∀y) and negates the following expression.

Apply De Morgan's law to the negation of the conjunction (P(x)∧Q(x,y)) to get ∃x∀y(¬P(x)∨¬Q(x,y)).

This step distributes the negation inside the parentheses and changes the conjunction (∧) to a disjunction (∨).

Therefore, the equivalent logical expression is option D. ∀x∃y(¬P(x)∨¬Q(x,y)).

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Answer:

Step-by-step explanation:

Hey.

Here is the answer.

Area of square = 331.24 m^2 = side ^2

so, side of the garden = 18.2 m

So, length of fence required = perimeter of the garden = 4×side = 4×18.2

= 72.8 m

Answer:

-3

Step-by-step explanation:

Parallel lines share the same slope. Therefore, the slope of cd is -3.

Answer:

4 + x + 4 + x

Step-by-step explanation:

sum=total by addition

The given inequality is

The given coordinates are (7,4), (3.8, 4) and (0,9).

Let's evaluate each coordinated pair in the inequality to see which one satisfies it.

For (7,4).

Since 3 is not more than 8, we say (7,4) is not a solution.

For (3.8, 4).

Since -0.2 is not more than 8, we say (3.8, 4) is not a solution.

For (0,9).

Since -9 is not more than 8, we say (0,9) is not a solution.

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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The maximum and minimum values are 34.5 and 2

from the question, we have the following parameters that can be used in our computation:

P = 2x + 7y

Subject to:

4x - 2y <= 5

x >= 1

0 <= y <= 4

Next, we plot the constraints on a graph

From the graph, we have the following vertices

(1, 0), (4, 0) and (3.25, 4)

This gives

P = 2(1) + 7(0) = 2

P = 2(4) + 7(0) = 8

P = 2(3.25) + 7(4) = 34.5

Hence, the minimum is 2 and the maximum is 34.5

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Answer:

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

If the quadrilateral is a trapezoid , then the value of x is = (b) 5 .

We know that the Midsegment of a trapezoid is parallel to each of the base and it's length is one half the sum of the lengths of the bases.

From the figure , we can observe that ⇒ side lengths are  21 units, 27 units , and the sides are parallel to each other.

From the given diagram of the trapezoid , the below expression is true:

that means : ⇒ 5x-1 = (21 + 27)/2  ;

⇒ 2(5x - 1) = 21 + 27 ;

⇒ 10x = 48 + 2 ;

⇒ 10x = 50

On Divide both sides by 10 ;

we have ;

⇒ x = 50/10  ;

⇒ x = 5  .

Therefore , for the quadrilateral the value of x is = 5 .

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The given question is incomplete , the complete question is

The quadrilateral in the below figure is a trapezoid. What is the value of x ?

(a) 4

(b) 5

(c) 48

(d) 25

To determine the number of solutions of each system of equations, we can use the concept of linear independence or dependence. The number of solutions of a system of equations is determined by the number of linearly independent equations present in the system.

We have three cases:

Case 1: Consistent, Independent System

A system of equations is consistent if it has at least one solution. A system of equations is independent if no equation in the system can be obtained by a linear combination of other equations in the system. A consistent, independent system of equations has exactly one solution.

Example:

2x + 3y = 11x + 4y = 6

There is no way to obtain one equation from the other, so the system is independent. Moreover, the system is consistent since it has a solution x = 2, y = 3.

Therefore, the system has exactly one solution.

Case 2: Inconsistent System

A system of equations is inconsistent if it has no solutions. This can happen when the equations in the system are contradictory.

For instance, the following system of equations has no solutions:

x + y = 2x + y = 3

Since the first equation states that x + y = 2, we know that x + y cannot be equal to 3 as the second equation implies.

Thus, the system is inconsistent.

Case 3: Consistent, Dependent System

A system of equations is dependent if one of its equations can be obtained from other equations in the system. A dependent system of equations has infinitely many solutions.

Example:x + y = 32x + 2y = 6

We can obtain the second equation from the first equation by multiplying both sides by 2. Hence, the system is dependent.

To solve the system, we can use any one of the two equations and solve for one variable in terms of the other.

For instance, from the first equation, we have y = 3 - x.

Substituting this into the second equation, we get 2x + 2(3 - x) = 6, which simplifies to x = 1.

Hence, y = 2. Therefore, the system has infinitely many solutions.

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Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D