The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2

By taking a quotient, we will see that each cheetah has around 51 acres for itself.

If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.

There are 969 acres and 19 cheetahs, then the quotient is:

969/19 = 51

That is the number of acres that each cheetah has for itself.

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The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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Answer:

The missing numbers are 74, 105, and 178.

For the arithmetic sequence 4 - 2(n - 1), we have that:

For the geometric sequence 6 x 3^(n - 1), we have that:

An arithmetic sequence is a sequence of numbers in which there is a common difference of the numbers, that is, the subtraction between consecutive terms of the sequence is always constant.

The nth term of an arithmetic sequence is given by the equation presented as follows:

[tex]a_n = a_1 + d(n - 1)[/tex]

In which:

The sequence in this problem is defined as follows:

4 - 2(n - 1)

Which has first term 4 and common difference -2, hence the terms are:

4, 2, 0, -2, -4, -6 and so on...

A geometric sequence is a sequence of numbers in which there is a common ratio of the numbers, that is, the quotient between consecutive terms of the sequence is always constant.

The nth term of a geometric sequence is given by the equation presented as follows:

[tex]a_n = a_1 \times q^{n - 1}[/tex]

In which:

The sequence for this problem is given as follows:

6 x 3^(n - 1)

Which has first term of 6 and common ratio of 3, hence the terms are given as follows:

6, 18, 54, and so on...

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Therefore , As a result, h = 2 is the answer to the equation in the given question.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.

Here,

The formula is as follows: 6x + 18 = h(3x + 9)

To ensure that the expression has an unlimited number of answers, h's value must be determined.

Take the expression now and continue solving it.

=> 6x + 18 = h(3x + 9)

=>3hx + 9h= 6x +8

The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.

Therefore, 3h = 6 and h = 2

As a result, h = 2 is the answer to the equation in the given question.

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Work Shown:

[tex]\text{y} = \frac{1}{4}\text{x}+3\\\\\text{y}-3 = \frac{1}{4}\text{x}\\\\\frac{1}{4}\text{x}=\text{y}-3\\\\\text{x}=4(\text{y}-3)\\\\\text{x}=4\text{y}-12\\\\[/tex]

Answer:

pro tip: crop your screen before you post it....

I think it's B

I did this 2 years ago in middle school

Therefore , the solution of the given problem of expression comes out to be probably 4 slices.

In mathematics, it is possible can multiply, division, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression. Expressions and phrases can be contrasted.

Here,

you figure if a toaster takes about 1-2 minutes to toast a piece of bread  and a toaster usually can fit 2 slices at a time i would say 4.

Preheat oven broil to high. Move oven rack to highest position.

Place sliced bread on an ungreased baking sheet. 4 slices of bread.

Broil bread for 1 minute, or until golden brown, then flip and broil for another 20-30 seconds. ...

Top with butter, jam, or any other favorite topping!

The temperature needed for the hot ambient air in a toaster, which makes the bread turn brown, is around 310°F (146°C). The heating element inside a toaster is a nickel-chromium alloy. The electrical current that runs through it heats it to make it red hot, with a temperature of 1,100°F to 1,200°F (519°C to 566°C).

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The wrist circumference in relation to height tells us how big our body frames are.

The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.

The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.

Women:

under 5'2" in height"

Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "

Large is defined as a wrist size of 5.75 or greater."

between 5'2" and 5'5" tall

smaller than 6 inches around the wrist"

Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large

Over 5' 5" in height"

Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."

Example :

2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)

x² + 7x + 12 = 4x + 14

x² + 3x - 2 = 0

(x + 3 / 2 )² = 17 / 4.

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On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

here,

we have 290x

so the inequality equation which will be formed is

-y + 290x [tex]\geq[/tex] -23

290x [tex]\geq[/tex] -23 + y

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Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|

So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

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Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.

To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.

The percent change in population is 90.65%.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given population of country in 1965 = 192 thousand = 1,92,000.

population of country in 2020 = 366 thousand = 3,66,000

the increase in population is = 366000 - 192000 = 1,74,000

the percentage increase =  (100)(increase in population)/(1965 population)

the percentage increase = (100) (174000)/(192000)

the percentage increase =  90.625%

Hence the percent increase is 90.62%.

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The velocity of the train is given as follows:

900 m / min.

To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:

v = d/t.

In which the parameters are given as follows:

The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:

200/0.25 = 800 m / min.

(the difference in velocity is the distance covered divided by the time).

As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:

800 + 100 = 900 m / min.

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Answer:

-17 ≤ x < 1

Step-by-step explanation:

-12 < -3x - 15 ≤ 36

Add 15 to all 3 "sides."

-12 + 15 < -3x - 15 + 15 ≤ 36 + 15

3 < -3x ≤ 51

Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.

3/(-3) > -3x/(-3) ≥ 51/(-3)

-1 > x ≥ -17

Rewrite in standard order.

-17 ≤ x < 1

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Four various modifications that can be made to a point, line, or geometric object are referred to as transformations collectively. You must be able to identify which changes have been made and that each alteration has been made. The following guidelines for function translation and transformation: The function is shifted up by b units by F (x) + b. F (x) b causes the function to move downward. The expression f (x + b) causes the function to be moved left b units. Translation, reflection, rotation, and dilation are the four different types of transformations. Transform, reflect, or rotate the geometric shapes that are displayed on a coordinate plane. The transformation, often known as f: X X, is the name given to a function, f, that maps to itself.

given

-1 on the left x-axis and 4 on the right y-axis

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

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Answer:

Ah and mc are parallel segments

Start with any random elements of sets and compute LHS and RHS individually.

a) The proof of f(S ∪ T) = f(S) ∪ f(T) is explained below.

b) The proof of f(S ∩ T) ⊆ f(S) ∩ f(T) is expliane dbelow.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Let, The set A = {1, 2, 3, 4, 5} and B = {2, 4, 5}.

Therefore, S = {1, 2, 3} and T = {1, 4, 5}.

Now, f(S ∪ T) = {1, 2, 3, 4, 5} and f(S) ∪ f(T) = {1, 2, 3} ∪ {1, 4, 5}.

Hence,  f(S ∪ T)=f(S) ∪ f(T).

Now, f(S ∩ T) = {1} and  f(S) ∩ f(T) =  {1, 2, 3} ∩ {1, 4, 5} = {1}.

Therefore,  f(S ∩ T) ⊆ f(S) ∩ f(T). (⊆ implies improper subset)

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Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.

A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.

The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.

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According to the given cosecant function the value of csc 0 is equal to 6/5.

The sine function has a reciprocal called the cosecant function. The cosecant function is the hypotenuse divided by the opposite side, just like the sine function is the opposite side divided by the hypotenuse. The hypotenuse and legs are terms for the two sides that are not at the right angle.

It is given that:

[tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]

According to trigonometric identity,

[tex]csc^2\ alpha - cot^2\alpha = 1\\csc^2\ 0 -\frac{11}{25} =1\\csc^2\ 0 = \frac{36}{25} \\csc\ 0= \frac{6}{5}[/tex]

Therefore the value of csc 0 is equal to 6/5.

Complete question;

Given that [tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]

find csc 0.

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The value of x is 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

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Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the elementary symmetric polynomials and the complete homogeneous symmetric polynomials.

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Answer:

The answer is 0.30.

I wish you luck in your assignments.

Answer:

0.3

Step-by-step explanation:

Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3

We can conclude that, if --

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that the cost (y) of red grapefruit can be represented by the equation y = 2x, where {x} is the number of pounds of red grapefruit. Also the graph shows the cost of pink grapefruit.

The cost (y) of red grapefruit can be represented by the equation y = 2x. So, we can write that the cost per unit pound of red grape is $2. The graph of the pink grapefruit is not given, but its slope {m} will tell us its costs per pound.

Now, if -

Therefore, we can conclude that, if -

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[tex]6(5x-3)[/tex]

Distribute:

[tex](6)(5x)+(6)(-3)[/tex]

[tex]=\fbox{30x - 18}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6(5x - 3)}[/tex]

[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]

[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]

[tex]\mathsf{= 30x - 18}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

1) Note that in the problem above, the complete table is given as:

Team Number:     1             2      3           4           5

Best Jump (ft)       20.6    21.5    20.9      19.4        20.2

2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.

3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.

Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.

The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.

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The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

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Answer: To find the value of g(2+h)-g(2) divided by h, we can use the definition of the derivative. The derivative of a function at a point is a measure of the slope of the function at that point, and it can be calculated by taking the limit of the difference quotient as h approaches 0.

The difference quotient is defined as:

[g(2+h) - g(2)] / h

So, to find the derivative of g at x=2, we can substitute the value of x in the function g(x) and take the limit as h approaches 0:

lim h→0 [g(2+h) - g(2)] / h

Substituting the value of x in the function g(x), we get:

lim h→0 [(2+h)³ - 2(2+h) - (2² - 2*2)] / h

This simplifies to:

lim h→0 [8+6h+h²-2h - 4] / h

Which simplifies to:

lim h→0 [h²+6h+4] / h

And, finally:

lim h→0 [h(h+6)] / h

The limit of a quotient is equal to the quotient of the limits, as long as the limit of the denominator is not 0. In this case, the limit of the denominator (h) is 0, but the limit of the numerator (h(h+6)) is not. Therefore, we can safely take the limit:

h+6

So, the derivative of g at x=2 is h+6. When h=0, the derivative is equal to the function's value at that point, so the value of g(2) is 6.

Therefore, the value of g(2+h)-g(2) divided by h is:

(h+6) - 6 / h

Which simplifies to:

h / h

Which is equal to:

1

So, the final answer is 1.

Step-by-step explanation: