Uma pessoa com audição normal pode ouvir sons de frequências entre 20 Hz e 20000 Hz. As frequências das ondas de rádio ficam entre 3000 Hz a 300 GHz. (1 GHz = 1000000000 Hz). Se 10000 Hz, por exemplo, é uma frequência audível, por que as pessoas não ouvem as ondas de rádio que estão viajando no espaço que rodeia?

Sine and cosine functions are two of the most important trigonometric functions. They both relate angles to the ratios of the sides of a right triangle and are used extensively in mathematics and physics. While they are similar in many ways, there are some key differences between them.

The sine function f(x) = sin(x) and cosine function g(x) = cos(x) are periodic functions with a period of 2π. They have several key features in common, including the fact that they both have a midline of y = 0 and a y-intercept of 1 for cos(x) and 0 for sin(x).

The two functions differ in their amplitude and maximum/minimum values. The amplitude of a function is the distance between the maximum or minimum value and the midline, and it is equal to 1 for sin(x) and cos(x). The maximum value of sin(x) is 1, and its minimum value is -1, while the maximum value of cos(x) is 1 and its minimum value is -1.

In terms of Amplitude: The amplitude of the sine function is 1, while the amplitude of the cosine function is also 1.

In all,  their relationship can be described by a phase shift of 90 degrees, and it is possible for a function to be both a sine and cosine function, but only if it is a simple transformation of one of the functions.

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The equation y = 3x - 1 and x² + y² = 73 then x = -1, y = -2.

Simultaneous linear equations are a pair of linear equations in two or three variables that are solved simultaneously to arrive at a single answer.

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. The simultaneous equations must therefore have a single solution, according to this.

Add together the equations if the signs vary. Subtract the indications from one another if they match. Different Add, Same Subtract, or DASS, is a simple way to remember this.

Substitute y = 3x + 1 in \($x^2+y^2=5$\)

\($$x^2+(3 x+1)^2=5 \quad \Rightarrow \quad 10 x^2+6 x-4=0$$\)

Hence

\($$\begin{aligned}& 5 x^2+3 x-2=0 \Rightarrow 5 x^2+5 x-2 x-2=0 \quad \\\& 5 x(x+1)-2(x+1)=0 \quad \Rightarrow \quad(5 x-2)(x+1)=0\end{aligned}$$\)

Hence, either \($x=\frac{2}{5}, y=3 \times \frac{2}{5}+1=\frac{11}{5}$\)

or \($x=-1, y=3 \times(-1)+1=-2$\).

The complete question is:

How do you solve the simultaneous equations \($x^2+y^2=5$\) and y=3x+1?

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Inequalities are used to express unequal expressions

The inequality that represents the scenario is \(x + 12.50 \le 20\)

The given parameters are:

Amount = $20

Spent = $12.50

Represent the amount left to spend with x.

So, we have:

\(x + 12.50 \le 20\)

Subtract 12.50 from both sides

\(x\le 7.50\)

Hence, the inequality that represents the scenario is \(x + 12.50 \le 20\)

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Answer:

he sold 32 general admission tickets

and 8 vip tickets

Answer:

$3.33

Step-by-step explanation:

5.33-2.00= 3.33

Hope this helps! :)

Answer:

$3.33 ralph have left

Step-by-step explanation:

You have 5.33 and you subtract 2 from 5.33. is important that you put in your question that is in dollars

Answer:

Should be = 6462092.108N

Step-by-step explanation:

So,

To solve this problem, you must first declare that your height, h, in a perspective. I chose to make it

h=Bottom of the gate to the top

That is one of the only ways to do this problem.

Now you can recognize that if you drew the semicircle on a coordinate plane than you can see that it splits the semicircle in half. This makes it where if you drew a slice a width, w, on each side.

From this you can start to determine the area of your slice that you just made.

\(Area of Slice=2w *delta h\)

Since we need w in terms of h, we can use the equation of a circle.

\(x^2+y^2=r^2\)

or in this case: \(w^2+h^2=4^2\)

If you solve for w you get: \(w=\sqrt{16-h}\)

Now the Area of the Slice becomes:\(A=(2\sqrt{16-h})*deltah\)

Now that we got area, we just need to determine the depth, which in this case is just the height of the top of the water to the slice, which is:

depth=\((24-h)\),

The 24 is from subtracting the height above the water and the total height of the dam.

Now we just set up the integral:

\(\int\limits^4_0 {(9800)(2\sqrt{16-h} })(24-h) \, dh\)

Which should be = 6462092.108N

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Step-by-step explanation:

went to a calculator

it said

Side a = 20.66803

Side b = 13

Side c = 17

Angle ∠A = 86°

Angle ∠B = 38.863°

Angle ∠C = 55.137°

Step-by-step explanation:

The domain is all the possible x values.  Here, the smallest x value is 1, and the largest x value is 4.

1 ≤ x ≤ 4

Answer:

the answer is a.

Step-by-step explanation:

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

edge

Answer:

40.6 years

Step-by-step explanation:

A = P (1 + r/n)^nt

whereas

A = final amount

P = the principal amount

r = rate of interest

t = time in years

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4n = number of times the amount is compounding.

So n = 4

A = P (1 + r/4)^4t

If A is 500,000, P is 20,000, r is 0.08

500000 = 20000(1 + 0.08/4)^4t

25 = (1+ 0.02)^4t

25 = (1.02)^4t

Take the log of both sides

ln 25 = 4t (ln 1.02)

4t = (ln 25)/(ln 1.02) = 162.55

so t = 162.55/4 = 40.6 years

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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Answer: c. 6

Step-by-step explanation:  

Option-C is correct that is 6 number from the set {4 , 5, 6, 7} makes the equation 4(8 - x) = 8 true.

Given that,

We have to find which value of the x from the set {4 , 5, 6, 7} makes the equation 4(8 - x) = 8 true.

We know that,

A group of well defined objects is referred to as a set. Only on the basis of simplicity are the objects of a set considered to be distinct.

A family or collection of sets are common names for a group of sets.

So,

The set has 4 numbers by substituting the numbers we get to know if the equation is true or false.

Take the equation,

4(8 - x) = 8

If x = 4,

4(8 - 4) = 8

4 × 4 = 8

16 ≠ 8

Now, If x = 5,

4(8 - 5) = 8

4 × 3 = 8

12 ≠ 8

Now, If x = 6,

4(8 - 6) = 8

4 × 2 = 8

8 = 8

And, If x = 7,

4(8 - 7) = 8

4 × 1 = 8

4 ≠ 8

Therefore, Option-C is correct that is number 6.

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Answer:

128.61 cm

Step-by-step explanation:

Given, radius of the sphere, r=3.2cm.

Therefore, the surface area of sphere =4πr2

                                                               =4π(3.2)2 cm2

                                                               =4×3.14×3.2×3.2 cm2

                                                               =128.61 cm2.

Hope this helped out...

Answer:

Step-by-step explanation:

v=(2/3)πr3

v=(2/3)*22/7*3.2^3

v=68.6cm^3

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

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Answer:

option 2 or B

Step-by-step explanation:

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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Answer:

4

Step-by-step explanation:

Solution

For this case the confidence interval is given by:

(0.27; 0.33)

We can find the estimaed proportion in the following way:

then the sample proportion would be 0.30

None of the given options (i.e. a, b, c, or d) is correct.

Given the prices of consumer items, we can find the estimate of the current CPI.

The percentage change in the price of the consumer item over time can be given as:

Percentage change = (Current Price − Price in 1983)/Price in 1983 × 100%

Now, using the percentage change we can find the average percentage change (increase or decrease) in prices. We calculate the average percentage change by finding the sum of the percentage change in prices of all items and then dividing it by the number of items.

Thus, we have:

Average percentage change = [(126.85−67.45)/67.45 + (29.95−15.25)/15.25 + (2.25−1.15)/1.15 + (44.25−22.85)/22.85]/4Average percentage change = 4.4188%

Now, the current CPI can be found using the following formula:

Current CPI = CPI in 1983 × [1 + (Average percentage change)/100]Current CPI = 100 × [1 + 4.4188/100] ≈ 104.42 ≈ 104

Therefore, the reasonable estimate of the current CPI is 104.

None of the given options (i.e. a, b, c, or d) is correct.

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An alias cannot be used when a table is required to be joined to itself in a recursive query is false.

The majority of relational database management systems, if not all of them, include the SQL feature known as an alias (RDBMSs). Database administrators and other database users can use aliases to cut down on the amount of coding necessary for a query and to make it easier to understand. Additionally, the real names of database fields can be protected using aliasing as an obfuscation approach.

You can alias tables and columns in SQL. A correlation name is another term for a table alias. [1] For the duration of a SELECT query, a programmer can temporarily give a table or column a different name by using an alias. The column or table are not truly renamed when an alias is assigned.

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Answer:

Answer down below!

Step-by-step explanation:

Once you multiply 0.85 * 18340 you get

15589

The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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See attachment for the graph of the reflection of f(x) across the y-axis

The function is given as:

f(x) = 1.5(0.5)^x

The rule of reflection across the y-axis is

(x, y) = (-x, y)

So, we have the following equation

f'(x) = 1.5(0.5)^-x

Rewrite the function as

g(x) = 1.5(0.5)^-x

So, we plot the graph of the function g(x)

See attachment for the graph of the reflection of f(x)

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step 1 :

g(x) = 1.5

step 2 :

g(0): 1.5

step 3 :

plot at (0,1.5)

step 4 :

g(1) = 3

g(-1) = .75

step 5 :

plot (1,3) & (-1,0.75)

step 6:

y=0

Jace should visit the theator 18 times for earning a free movie ticket.(inequality)

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The stages of resolving inequities are as follows:

Let x be the number of visit in the theator to get at least 1 movie ticket

so the inequation is :

50 + 14.5*x > 310

x > 17.93

Jace should visit the theator 18 times for earning a free movie ticket.

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Answer:

B

Step-by-step explanation:

Answer:

Sure, let's break down each part step by step.

Part A:

To calculate how much fabric is needed to make 3 aprons, we need to multiply the amount of fabric needed for one apron by 3.1 apron requires

1 1/2 yards of fabric for the front and 1/8 yards of fabric for the tie.1 1/2 yards + 1/8 yards = 15/8 yards (Adding fractions with a common denominator)

Now we can multiply the total fabric needed for one apron by 3 to get the fabric needed for 3 aprons:

3 * 15/8 yards = 45/8 yards (Multiplying by a whole number)

So, the total fabric needed to make 3 aprons is 45/8 yards.

Part B:

If Susan originally has 7 yards of fabric and she uses 45/8 yards to make 3 aprons, we can subtract the amount used from the original amount to find out how much fabric is left over.

7 yards - 45/8 yards = 56/8 yards - 45/8 yards (Subtracting fractions with a common denominator)

= 11/8 yards (Subtracting fractions)

So, after making the aprons, Susan will have 11/8 yards of fabric left over.

Part C:

To determine if Susan has enough fabric left to make another apron, we need to compare the amount of fabric left (11/8 yards) with the amount of fabric needed for one apron (1 1/2 yards + 1/8 yards = 15/8 yards).

Since 15/8 yards is greater than 11/8 yards, Susan does not have enough fabric left to make another apron. She is short by 4/8 yards (or 1/2 yard) of fabric.

Hope this helps! Let me know if you have any further questions.

Step-by-step explanation:

Answer: t 0<t<3

Step-by-step explanation:

Answer:

The correct option is 1.

Step-by-step explanation:

The given graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.

The value of height and time can not be negative, there the values of h and t must be greater than 0.

The set of all possible inputs is called domain. In the graph x axis represent the domain and y-axis represent the range.

The graph is defined from t=0 to t=3.

Therefore option 1 is correct.

The exponential distribution is a special case of the gamma distribution with alpha = 1, not 0.

False.

The exponential distribution is a special case of the gamma distribution when the shape parameter (alpha) is equal to 1, not 0.

The probability density function (pdf) of the gamma distribution with shape parameter alpha and rate parameter beta is:

f(x) = (1/((beta^alpha)*gamma(alpha))) * (x^(alpha-1)) * (e^(-x/beta))

When alpha = 1, this reduces to the exponential distribution with rate parameter lambda = 1/beta:

f(x) = lambda * e^(-lambda*x)

So the exponential distribution is a special case of the gamma distribution with alpha = 1, not 0.

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The exact value of tan(S) in simplest radical form is 2/(√42).

Given,

ST = √42 (opposite side to angle S)

TU = 2 (adjacent side to angle S)

US = √46 (hypotenuse of the triangle)

To find the value of tan(S), we need to determine the ratio of ST to TU.

In triangle it is mentioned that the angle of each.

Now, we can calculate the value of tan(S):

tan(S) = TU / ST

tan(S) = 2 /(√42)

Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).

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Answer:

y= 2/7 x

Step-by-step explanation:

i hope this helps..

the y intercept(b) wasnt provided, only the slope(m)

equation of the line is y=mx+b