Evaluate the expression when x=6. X^2-9x-7

We will use the triple integral in cylindrical coordinates to calculate the integral across the surface of the box in the illustration.

The integral is given by:

[tex]∫∫∫ {ze}^{2x} + y dzdydx[/tex]

Where x, y, and z are the coordinates and the limits of integration are

[tex]0 <= x <= 2, 0 <= y <= 3, and 0 <= z <= {ze}^{2x} + y[/tex]

We can change the integral into cylindrical coordinates by using the following change of variables:

x = rcosθ

y = rsinθ

z = z

The integral becomes:

[tex]∫(0 to 2)∫(0 to 3)∫(0 to ze^(2r cosθ) + r sinθ) rze^(2r cosθ) + r^2sinθ dzdrdθ[/tex]

Although the integral is challenging to calculate, this method will assess it. The region of integration can be determined by knowing the bounds of z, which would be beneficial given that the box is in rectangular coordinates.

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Answer:

c

Step-by-step explanation:

Answer:

34.

Step-by-step explanation:

The value of 7u + 6

=3u - 8 = 4

=3u = 4 + 8

=3u = 12

=3u/3 = 12/3

u = 4.

therefore u = 4

=7u + 6

=7(4) + 6

=28 + 6

=34.

The relation which is a function among the given answer choices are Choices A and D.

It follows from the task content that the answer choices which represent a function be identified as required.

By definition, a function is a relation in which case, no one input value is assigned more than one output.

On this note, for Choice A; all input values have only one output value assigned to them and for Choice D; the graph represents a quadratic function in which case, each input value, x is assigned only one output value, y.

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Refer to the images attached. Please let me know if you have any questions regarding how I did things or why.

Answer:  -2 1/2

Step-by-step explanation

if the equation is + but a number is negative, remember that +- = - which means 5/12 + (-2 11/12) = 5/12 - 2 11/12

2 11/12 is bigger than 5/12, so we'll switch it around and it'll become

2 11/12 - 5/12

2 11/12 - 5/12 = 2 6/12

Because 2 11/12 is originally a negative number, +- = -

which means the answer will be negative, so it is  -2 6/12.

but we're not done yet, we need to simplify it by dividing it with 6

so the final answer is -2 1/2

if it didn't make any sense at all heres an equation version :

5/12 + (-2 11/12)

= 5/12 - 2 11/12

= 2 11/12 - 5/12

= 2 6/12 (2 11/12 is originally negative so the ans will be negative)

= - 2 6/12 (divide by 6 to simplify)

= - 2 1/2

Answer:

  about 9 years

Step-by-step explanation:

You want to know the doubling time for money earning an interest rate of 8%.

The rule of 72 tells you the doubling time is about ...

  72/(interest rate %) = 72/8 = 9 . . . . years

The sum will double in about 9 years.

__

Additional comment

The actual period will depend on the way interest is compounded. When compounded annually, the time is ...

  log(2)/log(1.08) ≈ 9.01 . . . years

Compounded monthly, the time is ...

  log(2)/(12·log(1 +.08/12)) ≈ 8.69 . . . years

Answer:

Step-by-step explanation:

it do be a quadrilateral parallelogram and rhombus cause it do

Answer:

Step-by-step explanation:

Question 17

Opposite angles of a parallelogram are congruent, so [tex]3y+2=62 \implies y=20[/tex].

Adjacent angles of a parallelogram are supplementary, so [tex]62+5x+3=180 \implies x=23[/tex].

Question 18

Diagonals of a parallelogram bisect each other.

[tex]3y+9=2y+16 \implies y=7\\\\10x-24=5x-4 \implies x=4[/tex]

Answer: 750

Step-by-step explanation:

5/7 = women

2/7 = men (to get 2/7, 7/7 - 5/7 and you get 2/7)

5/7 x 1050

= 5 x 1050/7

= 5250/7

=750

The / means divide

a) In fractions the probability that a teenager selected at random is female and their favorite hobby is watching films is given as: 1/4, while

b) if  the teenager from the question above rejoins the group and another teenager is picked at random, the probability that the teenager picked at random is male and their favorite hobby is playing video games is 1/6.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

With regard to problem (a),

There is a total of 32 teenagers.

Of those, 8 are female with a favorite hobby of watching films.

Thus,

Related Probability = 8/32; divide both numerator and denominator by 8 to get;

= 1/4

With regard to problem (b), the probability that the teenager picked at random is male and their favorite hobby is playing video games is:

P = (14/32) x  (2/14)

P = 2/32; thus

P = 1/16.

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Full Question:

A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total

Male 9 2 3 14

Female 7 3 8 18

Total 16 5 11 32

Q6a. In fractions, what is the probability that a teenager selected at random is female and their favorite hobby is watching films? You can simplify this fraction if you wish.

Q6b. the teenager from the question above rejoins the group and another teenager is picked at random what is the probability that the teenager picked at random is male and their favourite hobby is playing video games? you can simplify this fraction if you wish

Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Thus, all angles are equivalent to 60 degrees.

So, for a triangle, we know that Interior angle + neighbouring outside angle = 180°, 60° + x = 180°, and x = 180° - 60° = 120°.

Thus, a triangle's x value is 120°.

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Answer: 104

Step-by-step explanation:

Angles at a line are equal to 180 degrees so:

180 = 72 + (x + 4)

180 = x + 76

180 -76 = x + 76 -76

104 = x

Answer:

A) [tex]108^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=180^{\circ} \\ \\ 72^{\circ}+m\angle 2=180^{\circ} \\ \\ m\angle 2=108^{\circ}[/tex]

Answer:

203, 230, 320, 302, 140, 410, 104, 401

Step-by-step explanation:

To meet the criteria, we have to think of all the ways we can use three distinct numbers, with one of the numbers being odd, which adds up to 5:

1 + 4 + 0 = 5

2 + 3 + 0 = 5

Subsequently, use the numbers we found and rearrange them to form three-digit numbers.

Answer:

[tex]x + 2 = 8 - x \\ \\ \dashrightarrow \: x + x = 8 - 2 \\ \\ \dashrightarrow \: 2x = 6 \\ \\ \dashrightarrow \: x = 3[/tex]

hope helpful ;-;

Answer:

Step-by-step explanation:

x+2=8-x what is the answer to this?

x + 2 = 8 - x

x + x = 8 - 2

2x = 6

x = 3

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

check

3 + 2 = 8 - 3

5 = 5

Answer: 61 cm.

Step-by-step explanation: The perimeter of any shape is the total distance of the exterior. This means that the sum of all side lengths of a shape is the perimeter. For a rectangle, the sum of both lengths and widths is the perimeter.

You can use the formula 2L+2W=P to solve this problem. 308 is P or the perimeter and 93 is L or the length. We can substitute these values and we get 2(93)+2(w)=308. We then subtract 2(93) or 186 from both sides to get 2W= 122. We then divide by two to get W or the width is equal to 61 cm.

A graph of triangle ABC after a translation of 1 unit left and 7 units down is shown in the image attached below.

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of triangle ABC vertically down by 7 units and horizontally left by 1 unit, the coordinates of the image of triangle A'B'C' include the following:

(x, y)                               →                  (x - 1, y - 7)

Coordinate A = (-6, 7)   →    Coordinate A' (-6 - 1, 7 - 7) = (-7, 0)

Coordinate B = (-8, 1)   →    Coordinate B' = (-8 - 1, 1 - 7) = (-9, -6)

Coordinate C = (-1, 2)   →     Coordinate C' = (-1 - 1, 2 - 7) = (0, -5)

Next, we would use an online graphing calculator to construct (plot) triangle A'B'C' on a cartesian coordinate based on its vertices after a translation.

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Answer:

108 students

Step-by-step explanation:

Just multiply the amount of students in each group by the number of groups (6)(18)=108

so there are 108 students

The estimated regression equation is d. ŷ = 145 + 20x₁ – 18x₂ + 4x₃

This equation is obtained from the coefficients given in the table. It is the equation that best predicts the value of the dependent variable (y) based on the values of the independent variables (x₁, x₂, and x₃).

The equation is in the form of y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε, where β₀, β₁, β₂, and β₃ are the coefficients of the independent variables and ε is the error term. These coefficients represent the change in the dependent variable for a unit change in the independent variable, holding all other independent variables constant.

From the table, we can see that the value of β₀ = 145, which represents the predicted value of y when all independent variables (x₁, x₂, and x₃) are equal to zero.

The value of β₁ = 20 represents the change in the predicted value of y for a unit change in x₁, holding x₂ and x₃ constant. Similarly, the value of β₂ = -18 represents the change in the predicted value of y for a unit change in x₂, holding x₁ and x₃ constant, and the value of β₃ = 4 represents the change in the predicted value of y for a unit change in x₃, holding x₁ and x₂ constant.

So, the estimated regression equation is: ŷ = 145 + 20x₁ – 18x₂ + 4x₃.

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The number of different functions with the given domain, target and additional properties is as follows:

(a) There are infinitely many different functions, as there is no additional property given that could have the domain (0,1) and the target {0,1}.

(b) The only one-to-one function with the domain (0,1) and the target {0,1} is the identity function, f(x) = x. The additional property is that the function is one-to-one.

(c) The function f has a target of and a domain of (0,1) and (0,1). There are an infinite number of possible functions that could have this domain and target because no additional property is provided.

(d) There are infinitely many different one-to-one functions that could have the domain (0,1) and the target (0,1).

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Yes, because it is a graph of a straight line with y = 1.625x, y changes for every value of x.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Value set for x and y.

Since it asked if the given equation is linear or not

The general formula for the line:

y = mx +c

where,

m is slope

and c is constant

m = (y₂ - y₁)/(x₂ - x₁)

in our case

m = 26 - 13 / 16 -8

m = 13/8

Thus the equation of a line:

y = 13/8x + c

putting any of the given coordinates in the given equation:

c = 0

Thus, the equation of a line

y = 1.625x

Therefore, yes, y varies for every value of x since it is a graph of a straight line y = 1.625x

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The area of the hexagon is approximate, Area = (150 √3) m².

What is a formula of a hexagon?

A Regular hexagon has six sides and angles that are congruent and is made up of six equilateral triangles. The formula to find out the area of a regular hexagon is as given:

Area = (3√3 s²)/ 2

where 's' represents the length of a side of the regular hexagon.

A hexagon is a six-sided polygon. The area of a hexagon can be calculated using the formula:

Area = (3 * √3 * (side length)^2) / 2

In this case, the hexagon is 10m by 5m, so the side length of the hexagon is 10m. Plugging this into the formula, we get:

Area = (3 * √3 * (10m)^2) / 2

Area = (3 * √3 * 100m^2) / 2

Hence, the area of the hexagon is approximate:

Area = (150 √3) m².

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Answer:

x = [-3, 1]

Step-by-step explanation:

I wrote it in interval notation but if x can be any whole number between those two it can literally be -3, -2, 1, 0 or 1. Unless there are further restrictions or some sort of equation, there is no one number answer. Pick your poison, write it like x = {-3, -2, 1, 0, 1} if you'd like or the way I wrote it.

When an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.

Two or more expressions with an Equal sign is called as Equation.

3x +6 = 2x +10 +x -4

Subtract (3x+6) from both sides:

(3x +6) -(3x +6) = (2x +10 +x -4) -(3x +6)

0 = x(2 +1 -3) +(10 -4 -6)

0 = 0

0 = 0 . . . . has "all real numbers" as a solution set

6x +2 -2x = 4x +1

Subtract (4x+1) from both sides:

(6x +2 -2x) -(4x +1) = (4x +1) -(4x +1)

x(6 -2 -4) +(2 -1) = 0

0x +1 = 0

1 = 0

Does not have "all real numbers" as a solution set. There is no solution

Hence, when an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.

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Using the percentage method the amount of flour used this month in the bakery for bread orders is 240 kg.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The amount of flour used last month is, a = 300 kg

The percentage of flour less used is = 20%

Calculate the 20 percent of 300 kg flour -

b = 20% × 300

b = 20/100 × 300

b = 60 kg

The amount of flour used this month = a - b

The amount of flour used this month = 300 - 60

The amount of flour used this month = 240 kg.

Therefore, this month 240 kg of flour was used.

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