Select all the expressions that result in a product that is a rational number.

The maximum number of guests she can invite is 9.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that If Sasha invites three guests, the cost of her retirement party will be $15.

If she can afford to spend $45 the maximum number of the guest will be calculated as:-

3 guests = $15

1 guest = $5

Calculate the maximum guest,

Number of guests = $45 / $5

Number of guests = 9

Therefore, the most visitors she may invite is 9.

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The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

Based on the given data, there is no evidence to support the claim that the standard deviation of the heights of women aged 25 to 34 have a different standard deviation from men aged 25 to 34

Step-by-step explanation:

The standard deviation for the heights of men aged 25 to 34, σ₀ = 2.9

The population variance, σ₀ = 2.9² = 8.41

The significance level of the test = 0.05

The number of randomly selected women in the sample, n = 16

The given heights of the 16 randomly selected women are listed as follows;

62.13, 65.09, 64.18, 66.72, 61.15, 67.50, 64.65, 63.09, 63.80, 64.21, 60.17, 68.28, 66.49, 62.10, 65.73, 64.72

By using the Mean (Average) and standard deviation of a sample formula from Microsoft Excel, we have;

The mean height of the women, \(\overline x\) = 63.37563

The standard deviation of the variance, s₂ = 2.2 78511

The null hypothesis, H₀; σ = 2.9

The alternative hypothesis, H₀; σ ≠ 2.9

The chi-square test is given as follows;

T = (N - 1)(s/σ₀)²

Therefore, we have;

T = (16 - 1)(2.278511/2.9)² ≈ 9.2597

The critical value for the lower tail = 6.908

The critical value for the upper tail = 28.845

For the critical region, we have;

Reject H₀ if T <6.908 or T > 28.845

Therefore, given that the critical T is larger than 6.908 and less than 28.845, we fail to reject the null hypothesis, and there is not enough statistical evidence to prove that there is a difference in the standard deviation of the heights of men and women aged 25 to 34

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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F(4)=9 is the value for this function.

A function that is defined by numerous smaller functions across various time intervals is known as a piecewise function. The domain of a function is the sum of all the smaller domains, and each sub-function has its own formula and domain. The input value and the function that establishes that interval determine the function's output.

The typical functional notation, which represents the body of a function as an array of functions and related subdomains, can be used to define piecewise functions. Together, these subdomains must encompass the entire domain; frequently, it is also necessary for them to be pairwise disjoint, or constitute a partition of the domain.

x=4 is bigger than or equal to 0 because it.

we use the third function definition

F(x)=x+5.

Therefore, F(4)=4+5=9.

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Step-by-step explanation:

f(g(x)) is formula put the value

Answer:

Yes, it is a true statement

Step-by-step explanation:

Since two negatives cancel out the equation would be

4 + 10 and that equals 14.

So the statement is true!

Answer:

B

Step-by-step explanation:

The top of y is (0,9)

Bottom is (0,-6)

Answer:

-5

Step-by-step explanation:

-15/-3

-5

If im wrong sorry :(

Step-by-step explanation:

the answer is -63 lol for some reason it said i need 20 letters to answer your question but there you go -63

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:

3x - 5 = 10

Step-by-step explanation:

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180

52+ 78+x = 180

Combine like terms

130 +x = 180

Subtract 130 from each side

130+x-130 =180-130

x = 50

Answer:

50°

Step-by-step explanation:

180 is the total of all the angles added together.

so if you subtract the 2 you already know from the total, you’ll have the size of the angle M.

180 - (52+78) = 180 - 130 = 50°

Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

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Answer:

x = 2

Step-by-step explanation:

1/3x + 5/6x < 7/3

2/6x + 5/6x < 14/6

7/6x < 14/6

6 (7/6x < 14/6)

7x < 14

x = 2

Answer:

C

Step-by-step explanation:

Ivy says:

f(1) = -100

You do that with the other numbers in the sequence. 2 = -50, 3 = 0 and so on

When you to n as 1, 2, and 3 they seem to all check out. So Ivy is right!

Andrey says:

That's a little suspicious don't you think that both answers are right..

Essentially they are both the same equation!

So let's simplify Ivy's equation!

f(n) = -100 + 50( n - 1 )

f(n) = -100 + 50n - 50

f(n)= -150 +50n

Which is basically Andrey's equation and they both seem to be right for the sequence! So both of them are right!

6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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Answer:

The answer is in the link

Step-by-step explanation:

Brainliest pls

Answer:

1/2(n+7)

the sum of n and 7 is (n+7). to half it just put 1/2 in front of the parentheses. :)

Let's look at some logarithm properties,

We will use this properties to simplify and write the expression as a single logarithm.

The steps are shown below:

The expression, as a single logarithm, is,

From the answer choices, the correct answer is D.

Answer

D

The area represented by g(x) is the definite integral of g(x) with respect to t from t=0 to t=x:

g(x) = ∫(t^4) dt from 0 to x

To find g'(x) using Part 1 of the Fundamental Theorem of Calculus, we know that:

g'(x) = d/dx (∫(t^4) dt from 0 to x) = (t^4) evaluated at x = x^4

To find g'(x) using Part 2 of the Fundamental Theorem of Calculus, we can evaluate the integral:

g(x) = ∫(t^4) dt = (1/5)t^5 evaluated from 0 to x = (1/5)x^5

then take the derivative of g(x) with respect to x:

g'(x) = d/dx ((1/5) x^5) = (1/5) * 5x^4 = x^4

Both ways give the same result of g'(x) = x^4

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Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Given:

The problem is 154 × 13.

To find:

The solution using the multiplication standard algorithm.

Solution:

In the multiplication standard algorithm, we use partial product to solve the multiplication problem.

Using multiplication standard algorithm, the given problem can be written and solve as

      1     5    4

      ×    1     3

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

      4     6    2               (Multiply 154 by 3)

1     5      4    ×              (Multiply 154 by 1)

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

2     0     0     2            (Adding 462 and 154)

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

Therefore, the value of 154 × 13 is 2002.

Answer:

9/10 of a pizza each

Step-by-step explanation:

3 whole pizzas is 30/10 and 3/5 made into /10 is 6/10 and if add them you will get 36/10 and dived that in 4 you will get 9/10

Answer:

115.24

Step-by-step explanation:

15.35*4.25=65.2375

65.2375+50=115.2375

115.2375≈ 115.24

Answer:

$84.95

Step-by-step explanation:

50+15.35=65.35

15.35+4.25=19.6

65.35+19.6=84.95