What are the domain and range of this function?
y = (1 + 3)2 – 5
.

The question requires that we find the number of sides for a regular polygon that will not form a regular tesselation.

To solve this we need to understand what a regular tessellation is;

A regular tessellation is a highly symmetric, edge-to-edge tiling made up of regular polygons, all of the same shape. There are only three regular tessellations: those made up of equilateral triangles, squares, or regular hexagons.

From the above, we can clearly see that there are three possible options for the number of sides for a regular tessellation.

1) Triangle(3sides)

2)square(four sides)

3)Hexagon ( six sides)

This implies that the odd one out, that is the number of sides that will not form a regular tessellation is

ANSWER: OPTION B

Answer:

7 feet

Step-by-step explanation:

Volume of a cyclinder = πr^2h

Volume of a cyclinder = 1952

π = 3.14

r = ?

h = 2r

Volume of a cyclinder = πr^2h

1952 = 3.14 * r^2 * 2r

1952 = 3.14 * 2r^3

1952 = 6.28r^3

Divide both sides by 6.28

r^3 = 1952 / 6.28

= 310.83

r^3 = 310.83

Find the cube root of both sides

r = 6.77 feet

Approximately 7 feet

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

SOHCAHTOA.

we have to use SOH(Sin) here because the theta is 65° and the opposite is 13 while the hypotenuse is x.

which is Sin 65°=13/x.

xSin65°=13.

0.906307787x=13.

x=13/0.9063=14.34403619~14.

Answer:

3.14

Step-by-step explanation:

The value of pi to two decimal places is 3.14. It is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number, which means it cannot be expressed as a finite decimal or fraction. It is an important constant in many fields of mathematics and science, including geometry, trigonometry, and physics. The decimal representation of pi goes on infinitely without repeating, making it an interesting and challenging topic for mathematicians to explore.

Answer:

The binomial distribution has the following properties: The mean of the distribution (μx) is equal to n * P . The variance (σ2x) is n * P * ( 1 - P ).

Step-by-step explanation:

Answer: The binomial experiment is the experiment that will satisfy the 4 conditions, a fixed number of trials. And each trial is independent of the others. There will be 2 outcomes. The probability of each of the outcomes remains constant from each trial. (trial to trial.) Is that your question?

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Step-by-step explanation:

i can help you

but questions isn't clear

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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1.Given the two points :

(xi; yi) = (-3;2) and

(x2;y2) = (6;5)

We can find the slope m as follows :

M = (y2-yi)/(x2-xi)

= (5 -2) /( 6-(-3)

= (3)/(6+3 )

=3 /9

=1/3

This means that the slope m = 1/3

Check the picture below.

\( {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2\)

Answer:

Answer:The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer:

x=1.6

Step-by-step explanation:

first follow PEMDAS

so you multiply -2 into the parentheses

-8x and +10

so now it is

5x+3x=-8x+10

add 5x +3x

get 8x

then we have

8x=-8x+10

add -8 to the other side

get 16x

so now 16x=10

divide 16 by 10

get x=1.6

The inverse function of f(x) = (x + 5)² on the domain x >= -5 is given as follows:

\(f^{-1}(x) = \sqrt{x} - 5\)

The domain of the inverse function is given as follows:

x >= 0.

The function for this problem is defined as follows:

f(x) = (x + 5)² on the domain x >= -5.

The range of the function is y >= 0, as the vertex is at (-5,0) and the function is increasing over it's domain, hence the domain of the inverse function, which is the range of the original function, is given as follows:

x >= 0.

To obtain the inverse function, wee exchange x and y in the definition of the function, and then isolate y, hence:

x = (y + 5)²

\(y + 5 = \sqrt{x}\)

\(y = \sqrt{x} - 5\)

\(f^{-1}(x) = \sqrt{x} - 5\)

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Answer:

The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Step-by-step explanation:

The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 8.2.

The probability mass function of X is:

\(P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...\)

Compute the probability of more than 4 calls as follows:    

\(P(X>4)=1-P(X\leq 4)\)

                \(=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113\)

Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

By multiplying the two fractions we get 2 / 9, and by adding we get 1.

In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.

In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.

Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.

By multiplying the two fractions,

= 3 / 9 * 6 / 9

= 2 / 9

By adding the two fractions,

= 3 / 9 + 6 / 9

= 9 / 9

= 1

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Answer:

A) 2

B) 3

C) -2

D) -1

Step-by-step explanation:

All you need to do is trace the given X value to the graph of the function after 'o' in (fog) or (gof). This is the same as finding the value of f(x) or g(x). After finding the value, make that value your x and trace to the new value on the other graph

a) Tracing -1 to y = f(X) gives y= 3. Tracing x =3 to g(x) gives 2

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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To find more statements that must be true, we would need more information about the function or its derivatives.

As per the student question, we are given a twice differentiable function f(x) with some values in the table.

We know that f'(x) = 0 at x = -1, 2, and 4.

Let's analyze the given information:
1. f is a twice differentiable function, which means it has a first and second derivative, f'(x) and f''(x).
2. We are given a table of values for f(x):
  x | f(x)
 ---|-----
 -1 | -45
  0 |   0
  1 |   3
  2 |   0
  3 | -21
  4 |   0
  5 |  75
3. We know f'(x) = 0 at x = -1, 2, and 4.
Based on this information, we can deduce the following statements that must be true:
a. f(x) has at least one local minimum or local maximum at x = -1, 2, and 4 since f'(x) = 0 at these points.

These points are also known as critical points.
b. Between any two consecutive critical points, f'(x) must change its sign (from positive to negative or vice versa) as it is a twice differentiable function.

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Perfect numbers between 1 and n (where n is a positive integer) are 6, 28, 496, 8128.

A positive integer that is the sum of its appropriate divisors is referred to as a perfect number. The sum of the lowest perfect number, 6, is made up of the digits 1, 2, and 3. The digits 28, 496, and 8,128 are also ideal.

Perfect numbers are whole numbers that are equal to the sum of their positive divisors, excluding the number itself. Examples of perfect numbers include 6 (1 + 2 + 3 = 6), 28 (1 + 2 + 4 + 7 + 14 = 28) and 496 (1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496).

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The complete question is:

What are all the perfect numbers between 1 and n (where n is a positive integer)?

The radius of the cylinder is 2.25 feet.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.

400 = 3.14 r² x 25

Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:

r² = 400 / (3.14 x 25)

r² ≈ 5.08

Taking the square root of both sides to solve for r, we get:

r ≈ √5.08

r ≈ 2.25

Therefore, the radius of the cylinder is 2.25 feet.

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Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

Given data:

The given figure is shown.

The expression for the angle 5 is,

The measurement of the angle 3 is,

Thus, the value of the angle 3 is 41 degrees.

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer: 58

Step-by-step explanation:

its 58 because chickens have two feet each so divide 2 %  166 and its 58

because each chicken has 2 legs count the 2 legs up to 116 then u get ur answer

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The person who sells more vehicles per week between Shawn and Brett is Shawn who sells 9 vehicles sold per week.

In order to determine who sells more vehicles per week between Shawn and Brett, find the unit of cars sold per week.

Shawn:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 36/4

= 9 vehicles sold per week

Brett:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 56/7

= 8 vehicles sold per week

In conclusion, Shawn sold more vehicles per week.

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