Solve the inequality statement:
-5ω < 15
---
w >3
wς 3
w< -10

Answer:

Step-by-step explanation:

Answer:

I don't know if this what you want but...

Step-by-step explanation:

2x+y=17

2x= 17-y

x= 17-y

     2

Answer: Part A : it is a function

Step-by-step explanation: once its on a graph it will only cross the line once

1. The maximum and the minimum number of guests that Trevor and Michael should host at the banquet are 18 and 14, respectively.

2. The minimum number of tables that Trevor and Michael will need for the banquet is 2.

We can employ the mathematical operations of addition, multiplication, division, and subtraction to determine the numbers.

Since the budget is limited to $450 or less, we can compute the maximum and the minimum number of guests for the event, using division operation.

Total budget for the banquet = $400 ± $50

Cost per guest = $25

Maximum number of guests to expect = 18 ($450/$25)

Minimum number of guests to expect = 14 ($350/$25)

The number of guests a table can accommodate = 7

The minimum number of tables to use for the banquet = 2 (14/7)

The maximum number of tables to use = 3 (18/7)

Thus, using division operation, Trevor and Michael should expect to host between 14 and 18 guests at the banquet.

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Answer:

6 gallons

Step-by-step explanation:

40% of 10 is 4 gallons less

10 - 4 = 6 gallons

Answer:

Hello _____,

You are a pig, a fatty, a dunce, and a monkey. Also, you smell like a diseased pustule on the butt of a wildebeest.

Cordially,

_____

Step-by-step explanation:

The domain of the given function is equal to: {-4, 2, 6, 9}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Generally speaking, the horizontal extent of the graph of a function represents all domain values and they are read and written from the smallest to the largest numerical values, and from the left of a graph to the right.

By critically observing the given function, we can reasonably and logically deduce the following:

Domain = {-4, 2, 6, 9}.

Range = (-3, 1).

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A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.

Hence, the example is . the color of a piece of meat

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Answer:

17

Step-by-step explanation:

First, add up the total and find a number divisible for your total which is 105. The next step will be to divide by a number that can go into it easily, like 3 for example. then you would get 35. Since we want the most groups try a number *2 of 3 and that will be 6. After you divide you'll get 17.5 . and since there isn't .5 of a person you go to the lowest number ( not rounding ) and that'll be 17 since 105 divide another multiple of 3 would get you 11.66 repeated.

well, looking at the picture we can see the blue rectangle is a 4x6 whilst the larger containing rectangle is a 14x15, well, we can simply get the area of the larger one and subtract the area of the smaller one.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{white~rectangle}{(14)(15)}~~ - ~~\stackrel{blue~rectangle}{(4)(6)}}\implies 210-24\implies \text{\LARGE 186}[/tex]

Probability that the sample mean rent is less than $2,918.03 is 0.050154

We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.

Also, a real estate firm samples 94 apartments.

Let X  = sample mean rent

The sample mean's z-score probability distribution is provided by;

              Z =  X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)

where,  u= population mean monthly rent = $2,886

             σ = standard deviation = $586

             n = sample of apartments = 94

Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)

P( < $2,918.03) = P(Z < 0.52)= 0.050154

The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154

Therefore, probability that the sample mean rent is less than  $2,918.03is 0.050154

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The old monthly payment was =  10.67 x 70 = 746.9

The new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

Given,

Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan

According to the question:

So, per thousand value of $70,000 is 70000/1000 =70

Now, the old monthly payment was =  10.67 x 70 = 746.9

He decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100

9.8406 % and to nearest tenth it is 9.8406%

Hence,  the old monthly payment was =  10.67 x 70 = 746.9

the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

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a. Timothy is correct, as each vertex of triangle KLM was multiplied by 1.5.

b. The two triangles are similar, as they have the same angle measures, since a dilation does not change the angle measures.

A dilation occurs when each of the vertices of a image is multiplied by a constant, which is called scale factor.

The vertices of triangle KLM and given as follows:

K(-1,3), L(8,4) and M(10,-3).

The vertices of the triangle K'L'M', obtained after the dilation, are given as follows:

K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

Hence the scale factor is given by the multiplication of one the equivalent coordinates of the equivalent vertices, as follows:

-1.5/-1 = 1.5.

Meaning that Timothy is correct.

The two triangles are similar, as the dilation changes the side lengths but keep the angle measures constant, keeping the similarity of the triangles.

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The required expression of the reflection of the point is (-x, y).

Given that,
A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4) is to be determined.

The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
A line segment has endpoints at (–4, –6) and (–6, 4) and an image with endpoints at (4, –6) and (6, 4) is produced the equation of the reflection is given as,
(x, y) ----> (-x, y)

Thus, the required expression of the reflection of the point is (-x, y).

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large samples and small variance are combination of factors is most likely to produce a significant value  in standard deviation .

What is standard deviation?

t = x - μ/s/√n

t = √n( x- μ)/s

t will be significant when its value will be higher .

so, the answer is large samples and small variance .

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Answer:

7.2461538

Step-by-step explanation:

Answer: 7.24615384615

Step-by-step explanation: I had a test that had this question.

The simplified for of the Algebraic expression which is the sum of two terms is 1 + 7x

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms which can either be a variable or a constant .

11 + 5(3x - 2) -8x

multiply out the bracket we have,

11 + 15x - 10 -8x

collect like terms and simplify

11 - 10 + 15x - 8x

1 + 7x

In conclusion, the expression 11 + 5(3x - 2) as a sum of two terms is 1 + 7x

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Answer:

Step-by-step explanation:

Considering the vertex of the quadratic function at point (6,-2), it is found that:

a) The meaning is that the turning point of the function is at point (6,-2).

b) If the parabola is concave down, then the vertex is a maximum. If the parabola is concave up, then it is a minimum.

c) If the parabola is concave down, then f(2) = f(10) < f(6). If the parabola is concave up, then f(2) = f(10) > f(6).

d) f(2) = f(10).

A quadratic equation is defined by the rule presented as follows:

y = ax² + bx + c.

The vertex can represent either a maximum point or a minimum point, depending on the coefficient a, as follows:

The vertex is also the turning point of the graph of the parabola.

In this problem, the coordinates of the vertex are (6,-2), hence:

When two points are equidistant from the vertex, they have the same numeric value, hence:

f(2) = f(6).

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Answer:

~62.35°

Step-by-step explanation:

To find the degree of an angle from side lengths, use reverse trigonometric function.

arcsin, arccos, arctan / [tex]sin^-1, cos^-1, tan^-1[/tex]

Because we have adjacent and opposite, lets use arctan.

Set up the equation.

[tex]x = arctan\frac{21}{11}[/tex]

Use a calculator to solve.

Using the relationship of permutation and combination, we can say that the relation [tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex] holds true.

What is Permutation?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

What is Combination?

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situations. The combination is the taking together of n items, k at a time, without repetition. The words k-selection or k-combination with repetition are frequently used to describe combinations when repetition is permitted.

In the given question:

To proof:

[tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex].

Let's Proof the relation:

Using the basic relation of permutation and combination, we have;

[tex]$\begin{aligned}(n-r+1){ }^n P_{r-1} &=(n-r+1) \frac{n !}{(n-r+1) !} \\ &=(n-r+1) \frac{n !}{(n-r+1)(n-r) !} \\ &=\frac{n !}{(n-r) !}={ }^n P_r \end{aligned}$[/tex]

Hence, Proved.

Therefore, we can say that the relation [tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex] holds true.

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The distance around the triangle is equivalent to 13x/12.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are the sides of triangle as x/2, x/3, x/4

The distance around the triangle is equivalent to perimeter of triangle. We can write perimeter as -

P = x/2 + x/3 + x/4

P = (6x + 4x + 3x)/12

P = 13x/12

Therefore, the distance around the triangle is equivalent to 13x/12.

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Answer:

it would be honestly idj

Step-by-step explanation:

im tryin to get point

Answer:

x/2 = any number

Step-by-step explanation:

Answer:

The answer is gonna be B. Sorry if I’m late :((

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

According to the question,

We have the following number:

900

This number needs to prime factorized. So, first it can be divided by 2 (450), again 450 can be divided by 2 (225), it can be divided by 3 (75), it can again be divided by 3 (25), this can be divided by 5 (5) and it will be finally divided by 5.

So, we have the following product for the prime factors of 900:

2*2*3*3*5*5

In index form, it will be written as follows:

[tex]2^{2} *3^{2} *5^{2}[/tex]

Now, we know that in ascending order, numbers are arranged from smallest to largest.

So, we have the following order:

2, 3 and 5

Hence, the product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

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The rate of change in the account for a week is $157.5.

Annalise has some money in her bank account. She withdraws $22.50 per day from her account for a week. We need to represent the change in the account for the week. The number of days in a week is seven. So, it means that she withdraws money from her bank account daily for seven days. The total amount of money withdrawn from the bank account is the product of the withdrawal amount per day and the total number of days in a week.

A = $22.5*7 = $157.5

Let the initial amount of money in the bank be "$x". The change in the bank balance is $157.5. The current balance is $(x - 157.5).

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