The last time Caralina visited the post office, she spent $4.49 to mail letters and packages. Each letter cost $0.37 to mail, while each package cost $0.88 to mail. if she sent two more letters than packages, how many letters did she mail?

The number of different choices for nine questions is 384, when at most one of questions 1 and 2 may be included among the nine.

Given, the exam instructions specify that at most one of questions 1 and 2 may be included among the nine.

We have to find the number of different choices for nine questions.

Now, using the concept of Permutation and Combinations we get

There will be three cases,

Case 1 : we include question 1

Case 2 : we include question 2

Case 3 : we neither include question 1 nor question 2

Case 1 :

question 1 is included, so question 2 can not be included and remaining 7 questions have 2 choices.

Case 2 :  

question 2 is included, so question 1 can not be included and remaining 7 questions have 2 choices.

Case 3 :

neither question 1 nor question 2 is included and also remaining 7 questions have 2 choices.

Total choices = 2^7 + 2^7 + 2^7

So, the number of different choices of nine questions are 384.

Hence, the number of different choices of nine questions are 384, when at most one of questions 1 and 2 may be included among the nine.

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Based on this equation, estimate the price of a car that had been driven 56 thousand kilometers.

Step-by-step explanation:

There is a total of 2520 ways to create an injective function.

What is an injective function?

A function f called an injective function (sometimes called an injection, or one-to-one function) translates different elements of its domain into different elements.

Now, we can create an injective function from a set of 5 elements to a set of 7 elements

Based on the definition of an injective function,

For 1st element, we have a total of 7 choices

For 2nd element, we have a total of 6 choices and so on.

So, total ways = 7*6*5*4*3 = 2520

Hence, 2520 ways are there to create an injective function.

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Modus is a statistical measure that is used to identify the most frequently occurring number in a set of numbers.

To calculate modus, first arrange the numbers in numerical order. Then count the number of times each number occurs in the set. The number that occurs most often is the modus. To calculate modus, first list all the numbers in the set in numerical order. The number that appears most frequently is the modus. For example, if the set of numbers is [1, 2, 3, 3, 3, 4], the modus is 3 because it appears three times, which is more than any other number in the set.

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Answer:

1. (2x-3)(x^2+3)(x+4)

2. (3x-1)(x+5)(4x^2+1)

Step-by-step explanation:

2x^4+5x^3-6x^2+15x-36

2x^4-3x^3+8x^3-12x^2+6x^2-6x+24-36

x^3(2x-3)+4x^2(2x-3)+3x(2x-3)+12(2x-3)

(2x-3)(x^3+4x^2+3x+12)

(2x-3)[x^2(x+4)+3(x+4)]

(2x-3)(x^2+3)(x+4)

12x^4+56x^3-17x^2+14-5

12x^4-4x^3+60x^3-20x^2+3x^2-x+15x-5

4x^3(3x-1)+20x^2(3x-1)+x(3x-1)+5(3x-1)

(3x-1)(4x^2+20x^2+x+5)

(3x-1)[4x^2(x+5)+x+5]

(3x-1)(x+5)(4x^2+1)

She will serve 640 hors d'oeuvres to 240 people.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total number of people = 240

Number of hors d'oeuvres per 3 people = 8

Number of hors d'oeuvres to serve 240 people.

= 8 x 240 ÷ 3

= 8 x 240/3

= 8 x 80

= 640

Thus,

The number of hors d'oeuvres to serve is 640

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Answer:-3

Step-by-step explanation: -3 because when you do it I really don't know how to explain it srry

x → -∝ , f(x) → -∝ and x → ∝ , f(x) → ∝

The exact same number of elements from Y are assigned to each element of X via a mathematical function from a set X to a set Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behaviour of that function close to a specific input. Below are formal definitions that were initially developed in the early 19th century. Informally, a function f gives each input x an output f(x).

According to the given information

We are given with the function

[tex]f(x)=x^{6}+12x^{5} +26x^{4}-116x^{3}-363x^{2} +104x[/tex]

When

limit( x → ∝ ) = f(x) = ∝

limit( x → -∝ ) = f(x) = -∝

So

as x → -∝ , f(x) → -∝ and as x → ∝ , f(x) → ∝

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For making apple juice for 8 people she needs 2.67 cans of frozen concentration

What is Proportion?

A proportion is a component, share, or quantity compared to the total. A proportion is a comparison of two integers, each representing a piece of a larger whole.

Solution:

Since, Julia needs 1 can of frozen concentration for making apple juice for 3 people

We can say for 6 people she needs 2 cans

Similarly for 8 people she needs 8/3 cans = 2.67 cans

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Answer: i need the answer

Step-by-step explanation:

HE LP

The statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups is independent-sample t test.

Given that,

We have to find the statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups.

We know that,

The independent Samples t take a look at analyzes the manner of two separate organizations to see if there's statistical guide that the populace imply values are statistically extensively distinctive. A parametric take a look at is the unbiased Samples t take a look at.

since, the two agencies are independent and we're checking if difference is good sized is independent-samples t test.

consequently, the statistical test that compares the distribution of imply differences between two companies to the imply difference among  corporations is unbiased-pattern t check.

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The length of the hypotenuse of the triangle is 4.1.

Here we have to find the length of the hypotenuse of the triangle.

Data given:

A right triangle has one side that measures 4 in and the angle opposite that side measures 80°

To determine the length of the hypotenuse of the triangle, the trigonometry function can be used.

sinФ = perpendicular/ hypotenuse

sin80° = 4/ hypotenuse

0.98 = 4/ hypotenuse

hypotenuse = 4/ 0.98

Hypotenuse = 4.0617 inch.

Therefore the length of the hypotenuse of the triangle to the nearest tenth is 4.1

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The radius of the cylinder is found to be 6 cm.

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

Given that,

The height of the cylinder is 17 cm.

And, the volume is 1921.68 cm³.

Suppose the radius be r cm.

Substitute the corresponding values in the expression of volume V = πr²h as follows,

V = πr²h

=> 1921.68 = π × r² × 17

=> π × r² = 1921.68/17

=> r² =  1921.68/17π    

=> r = 6

Hence, the radius of the cylinder is obtained as 6 cm.

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Splitting a verb represents the meaning to divide lengthwise basically by layers or along a grain.

Explanation:

Splitting a verb represents the meaning as follow :

Therefore, splitting a verb represents to divide lengthwise basically layer wise or along a grain.

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Considering the  car production in Geometric progression (a) about 25th term is 7.00*10¹⁹ cars can be produced in the first 25th week. (b) in the first 6 months, there will be 7.1*10¹⁸ cars. ( c) production in the next 6 months would be 7.1*10¹⁸ cars too

Geometric progression is the type of sequnce in which consecutive terms are gotten by the multiplication of a constant term known as the constant ratio.

the given parameyers are

a=150 cars

r=1.75%

r=1.75/100*150

r= 6.6

Nth term of GP is given as

Nth = [tex]ar^{n-1}[/tex]

a.  The 25th term is given as

25th= [tex]150*6.6^{24}[/tex]

25th term is 7.00*10¹⁹

b.  In a month, there are 4 weeks

in 6 months there are 4*6 = 24 weeks

524th term is 150*6.6²³

7.1*10¹⁸

c.  In a month, there are 4 weeks

in 6 months there are 4*6 = 24 weeks

524th term is 150*6.6²³

7.1*10¹⁸

In conclusion there will be  7.00*10¹⁹ cars , 7.1*10¹⁸  cars and 7.1*10¹⁸ cars for options a, b, and c respectively

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Yes. The decision of watching a movie on television is a technique of sampling.

Given,

If you decide whether or not you want to see a new movie or television program on the basis of the "coming attractions" or television commercial previews.

We have to find that whether it is using a sampling technique here;

Here,

Yes, this is a sampling technique. This kind of sampling, meanwhile, is typically not of a scientific nature. Instead of being representative of those movies, the parts that are shown are typically the most entertaining. Although a subset of all potential television shows or movie scenes have been observed, they are not chosen at random to make up the sample.

That is,

Yes. The choice to watch a movie on television is a sampling technique.

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Answer:

3 years

Step-by-step explanation:

1600*[tex]1.05^{x}[/tex]=1852.20

1852.20/1600= [tex]1.05^{x}[/tex]

1.157625    = [tex]1.05^{x}[/tex]

[tex]log_{1.05} 1.157625= x[/tex]

x= 3

thus 3 years

Answer:

Step-by-step explanation:

he bought 7.6 ft2 of sheet metal He used 2.3 ft2 7.6x−2.3x= $95.40 simplify 5.3x = $95.40 divide by 5.3 to get x by itself x = 18 so each sheet of metal costs $18.00 per square foot.

Answer: 1.11 kg

Step-by-step explanation:

1 kg = 1000 grams

Nickle has a mass of 5 grams = 0.005 kg

Penny has a mass of 2.5 grams = 0.0025 kg

Now take 0.005 times 186 = 0.93 kg for 186 nickles

Next, take 0.0025 times 72 = 0.18 kg for 72 pennies

0.93 kg + 0.18 kg = 1.11 kg

So the bag is 1.11 kg

The solved inequality for 1/2x < 6 is x < 12, and the graph is attached below.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

The relationship between two values that are not equal is described by inequalities. Equal does not necessarily mean unequal. The "not equal symbol" is typically used to denote that two values are not equal.

Given:

1 / 2x < 6

x < 6 × 2

x < 12

Therefore, the solved inequality for 1/2x < 6 is x < 12, and the graph is attached below.

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Perpendicular lines have slopes that are negative reciprocal of each other.

Parallel line have same slope.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

When two lines are perpendicular their slopes are negative reciprocal of each other and they also intersect at a point.

When two lines are parallel they have the same slope and they do not intersect.

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The area of the circle is increasing at a rate of 126π sq. inches per second

What are Derivatives?

The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.

Solution:

Area of Circle = πr²

To find the rate of change we need to use Derivatives

dA/dt = 2πr * dr/dt

we know that the radius is increasing at a rate of 3 inches per second so,

dr/dt = 3 inches per second

Rate of Change = 2π*21*3 inches per second

The area of the circle is increasing at a rate of 126π sq. inches per second

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If the p-value less than the significance level then we have a type i error.

We know that if your P-value is less than the chosen significance level then you reject the null hypothesis i,e. accept that your sample gives reasonable evidence to support the alternative hypothesis.

Im statistics, a type i error means rejecting the null hypothesis when it's actually true, while type ii error means failing to reject the null hypothesis when it's actually false.

The chance that you commit type i errors is known as the type i error rate or significance level (p-value). This number is conventionally and arbitrarily set to o.o5 or 5%. Type ii errors are like "false negatives", an incorrect rejection that a variation in a test has made no statistically significant difference.

The probability of making a type i error is represented by alpha level, which is the p-value below which you reject the null hypothesis.

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The required value of this game in the long run has no value, as game will discarded because both players identical pairs.

A standard 52-card deck contains 13 positions in every one of the four French suits: clubs (♣), precious stones (♦), hearts (♥) and spades (♠). Each suit incorporates three court cards (face cards), Lord, Sovereign and Jack, with reversible (twofold headed) pictures. Each suit additionally incorporates ten numeral cards or pip cards, from one to ten.

After the blended matches are disposed of, there are an equivalent number of dark red still in the deck, so the two players will have similar number of pairs.

So, No one will win the game.

Thus, the game will  discarded.

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Answer:

Step-by-step explanation:

a d c

The verbal description of the algebraic expression 3m-8n/13 is;  Three m minus eight n divided by thirteen

Algebraic word problems are defined as questions that need translation of sentences to equations and thereafter solving those equations usually having a single variable. Now, the single variable usually denotes an unknown quantity in a real-life scenario.

To solve an algebraic word problem, the following steps are taken;:

Now, we want to write the verbal description of the algebraic expression given as 3m-8n/13.

This is expressed as Three m minus eight n divided by thirteen

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Complete question is;

Write a verbal expression for 3m-8n/13

The value of the length of side DE is 6.3 units

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

The triangles ABC and DBE

From the question, we can see that the following corresponding sides on the triangles:

Sides AD and DB

Sides CE and EB

This implies that these sides are congruent sides

This is evident by the marks on these sides

Also from the figure, we have that:

The endpoints of the line DE is at the midpoint of lines AB and BC

This means that we have the following equation

DE = 1/2 * AB

Substitute the known values in the above equation, so, we have the following representation

DE = 1/2 * 12.6

Evaluate the products

DE = 6.3

Hence, the length DE is 6.3 units

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Answer:

112b^2

Step-by-step explanation:

When you multiply two negative numbers, the outcome will always become positive.

7bx16b= 112b^2

Answer:

112b^2

Step-by-step explanation: