find the digits in the hundreds place, in the tenths place, and in the thousandths place for the following number. 401.5176

The statement can be proven using mathematical induction. Let S be a non-empty finite set of positive integers.

Base case: If n = 1, then the only element in S is the least element.

Inductive step: Assume that the statement holds for all sets S of size n. Now, consider a set S of size n + 1. If a is the least element of S, then the set S' = S \ {a} has size n and, by the induction hypothesis, contains a least element b. Since a is the least element of S, it follows that b ≤ a. Then, either a = b or a < b.

Therefore, in any case, S contains at least element. This completes the proof by induction.

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The unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

To find the unit cost of each movie pack, we need to divide the total cost by the number of passes in each pack.

The unit cost for Cinema A's twelve-pack can be calculated as follows:

unit cost for Cinema A = $66 / 12 passes = $5.50 per pass

The unit cost for Cinema B's five-pack can be calculated as follows:

unit cost for Cinema B = $29 / 5 passes = $5.80 per pass

So, the unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

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Answer:

a will be going from -3 to the right

Step-by-step explanation:

a/3 +3 >2

a/3 > -1

a> -3

the value of the variable in circle N is: 19.60 unit.

The formula for a circle is (x - h)² + (y - k)² = r², where r is the radius and (x, y) is the circle's centre. In the circle graph, the variables h and k stand for changes in the horizontal or vertical axis. The radius, which is often denoted by the variable "r," is the distance between a circle's centre and its edge. The definition of a circle is the collection of all points that are equally spaced apart from a given point; this fixed point serves as the circle's centre, and the radius of the circle is the separation between the sets of points from the centre.

Given that,

the variable becomes = x

16(16 + 8) = x²

or, x² = √384

or, x = 19.60 unit

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According to the problem the missing side length is 7 yd.

Length is a concept used in various contexts to measure the size of an object or distance between two points. In geometry, length refers to the longest dimension of an object. In physics, length is a fundamental quantity that is used to measure the distance between two points. It is usually expressed in units such as meters, centimeters, and millimeters.

The missing side length is 7 yd. This is because the shape formed by these sides is a right triangle, and the Pythagorean theorem can be used to calculate the length of the missing side. The equation is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the two known side lengths and c is the missing side length. In this case, a = 6 yd and b = 8 yd, so [tex]c^{2} = 6^{2} +8^{2} =100[/tex]. The square root of 100 is 10, so c = 10 yd.

However, since the question asks for the missing side length in yards, the answer is 7 yd (10 yd divided by 1.4 to convert to yd).

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The variable cost per unit produced and sold is, $11.50

In mathematics, Average is a value which we calculate by dividing the sum of values of all the data-set by the number of data-sets.

Average = sum of values of all the data-set/number of data-sets

The variable cost per unit produced and sold can be calculated by summing up the costs that vary with changes in production volume, and dividing the total by the number of units produced and sold.

For Martinez Company, the variable costs per unit are:

Direct materials = $ 6.00

Direct labor = $ 3.50

Variable manufacturing overhead  = $ 1.50

Variable administrative expense = $ 0.50

Total variable cost per unit = $6.00 + $3.50 + $1.50 + $0.50

                                             = $11.50

So, if 8,000 units are produced and sold, the variable cost per unit produced and sold would be $11.50.

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The balance after 2 years is $318.27

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

[tex]A=P{(1 +\frac{r}{n})^{nt}[/tex]

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

[tex]A=300{(1 +\frac{0.03}{1})^{1(2)}[/tex]

A=300(1.003)² = 318.27

The balance after 2 years is $318.27

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The variables in the graph are temperature of the water (y-axis) and heating time (x-axis).

At various points on the graph, the relationship between the two variables can be seen as a linear increase in temperature with a corresponding increase in heating time. That is, as the heating time increases, the temperature of the water also increases.

The graph shows the relationship between two variables, heating time and temperature of heated water. The x-axis, or independent variable, represents the heating time, while the y-axis, or dependent variable, records the temperature of the heated water.

At the start of the graph, the heating time is 0 minutes and the temperature of the heated water is also 0 degrees Celsius. As the heating time increases, the temperature of the heated water gradually increases. At 10 minutes, the temperature of the heated water is approximately 20 degrees Celsius.

At 20 minutes, the temperature of the heated water is approximately 50 degrees Celsius. At 30 minutes, the temperature of the heated water is approximately 80 degrees Celsius. At 40 minutes, the temperature of the heated water is approximately 100 degrees Celsius and at 50 minutes, the temperature of the heated water is approximately 120 degrees Celsius.

The relationship between the two variables is linear; as the heating time increases, the temperature of the heated water also increases. The graph shows that the temperature of the heated water increases by approximately 20 degrees Celsius for every 10 minutes of heating time.

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Answer: x = -2.

X is negative 2.

Solving an equation with variables on both sides:

1. expand to get rid of the parenthesis

[tex]4x+5x-2=-16+2x[/tex]

2. combine like terms

[tex]9x-2=-16+2x[/tex]

3.  use inverse operations to get variable terms on one side and the integer term on the other side

[tex]9x-2x-2+2=-16+2x-2x+2[/tex]

4. combine like terms

[tex]7x=-14[/tex]

5. isolate for x

[tex]x=\frac{-14}{7}[/tex]

x= [tex]x=-2[/tex]

The mean of the sampling distribution of p is 0.45, (b) the standard deviation of p is 0.02, (c) yes, the Normal approximation can be used, and (d) the probability that more than half of the sample is in favour is 2.2523.

A) The mean of the sampling distribution of p is equal to the population proportion who favour giving vouchers to parents, which is 0.45.

B) The standard deviation of p can be calculated using the formula:

σ = √(p(1-p) / n)

where p = 0.45 and n = 500.

The standard deviation of p is approximately 0.02. This value represents the variability of the proportion of adults in samples of size n = 500 who favour the idea.

C) In order to use the Normal approximation for the distribution of p, the sample size n must be large enough such that np ≥ 10 and n(1-p) ≥ 10. For this problem, n = 500, p = 0.45, np = 500 * 0.45 = 225, and n(1-p) = 500 * (1-0.45) = 275, which are both larger than 10, so the Normal approximation can be used.

D) The probability that more than half of the sample is in favour can be found by subtracting the area under the standard normal curve to the right of z = 0.5 from 1.

z = (p - 0.45)/0.02

= (0.5 - 0.45)/0.02

= 2.2523

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Answer:

Dentist counted to few days.

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

If the length of the living room is 10, and the width is 15, then we can use the equation:

10 × 15 = 150

Therefore, the length × width of the living room is 150.

The values of the variables are b = 90, c = 80 and d = 100

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

The parallelogram

Using the properties of parallelogram, we have the following equations

b - 10 + b + 10 = 180

d = b + 10

c = b - 10

Solving the first equation, we have

2b = 180

So, we have

b = 90

This means that

d = 90 + 10 = 100

c = 90 - 10 = 80

Hence, the value of d is 100 degrees

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The conversion and subtraction in the decimal base gives;;

a)  12 ten

b)  73 ten

The number base serves as the basis for carrying out a mathematical expression. In this case, we have been told that the number base in which the numbers that have been give are is base five and we are to convert the numbers to the decimal base.

For the first problem, we have;

34 five = 19 ten

12 five = 7 ten

We then have;

19 - 7 = 12 ten

For the second problem;

432 five = 117 ten

134 five = 44 ten

Then;

117 - 44 = 73 ten

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The expression that represents the sum of ( -4x - 7 ) and ( 6x - 4 ) in simplest terms is 2x - 11

Given the expressions in the question;

( -4x - 7 ) and ( 6x - 4 )

To find the sum of the two expression, replace the 'and' with '+' and simplify.

( -4x - 7 ) and ( 6x - 4 )

( -4x - 7 ) + ( 6x - 4 )

-4x - 7 + 6x - 4

Collect like terms

-4x + 6x - 4  - 7

Add -4x and 6x

2x - 4  - 7

Add -4 and -7

2x - 4  - 7

2x - 11

Therefore, the simplified form of the expression is 2x - 11

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you can calculate by following

Answer:

7 child tickets

14   adult tickets

Step-by-step explanation:

Let a = the number of adult tickets

Let c = the number of child tickets

16a + 16c + 672

2c = a  Substitute 2c for a

15a + 16c = 672

16(2a) + 16c = 672

32a + 16c = 672  Combine like terms

48a = 672  Divide both sides by 48

a = 14

2c = a

2c = 14  Divide both sides by 2

c = 7                                                                                                  

Here k is 4 and the table represent a Proportions relationship, for the linear equation x = yk

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

We say that two variables are proportional if they can be written as y=kx y = k x , where k is the constant of proportionality. If y and x are proportional, then for any pair of x and y , the ratio yx=k y x = k should be the same

The following characteristics are true of the graph of all proportional relationships. The graph is linear. The line of the graph passes through the origin. The slope of the line is the constant of proportionality.

Let independent variable be x while dependent variable be y

Here we see that for every variable of x, y is 1/4 times x, so we have the linear equation,

x = y/4

With the line the graph forms is (see attachment)

As, Proportions relationship is  y=kx or x = y/k

Here, k is 4 and the table represent a Proportions relationship.

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Answer:

15%

Step-by-step explanation:

The answer is the answer.

Answer: x = k-y+

Step-by-step explanation:

u = x-k+y

"or -x = -k+y-u "

"or x = k-y+u

Answer:

$630

Step-by-step explanation:

This problem can be solved using linear programming. Let x be the number of 5-oz containers and y be the number of 10-oz containers. The constraints are:

x + y = 55 (total number of containers)

5x + 10y = 400 (total amount of cheese in ounces)

x >= 0, y >= 0 (containers must be non-negative)

The objective is to maximize the revenue, which is given by 9x + 17y.

Using a linear programming solver, we find that the maximum revenue is obtained when x = 40 and y = 15. The maximum revenue is 9x + 17y = 9 * 40 + 17 * 15 = $630.

So, the deli owner should sell 40 5-oz containers and 15 10-oz containers to maximize his revenue, which is $630.

The equation for the population after x years can be represented using  P(x) = 158,260 * (1 + 0.06)^x

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

Initial, a = 158260

Rate, r = 6%

The function is represented as

P(x) = a(1 + r)^x

This means that

P(x) = 158,260 * (1 + 0.06)^x

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On the final, the score that Sharon would need to have in order to have the average score of 80 is 3.

Let's call the score Sharon needs on the final exam "x".

The total of all 6 test scores is: 77 + 84 + 72 + 65 + 96 + x

The average of all 6 test scores is: (77 + 84 + 72 + 65 + 96 + x) / 6 = 80

Expanding and solving for x, we have:

77 + 84 + 72 + 65 + 96 + x = 80 * 6

477 + x = 480

Subtracting 477 from both sides, we get:

x = 480 - 477

x = 3

So, Sharon needs a score of 3 on the final exam in order to have an average score of 80.

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In Δ AMG the definition, property, postulate, or theorem that justifies each statement are given as follows -

5. Option C: Whole Greater Than Its Part Property.

6. Option B: Exterior Angle Inequality Theorem.

7. Option E: If Unequal Sides, then Unequal Angles.

What is a line segment?

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Line segment AD is given by the combination of segments AM and MD, hence it's length is given by:

AD = AM + MD.

Line segment length's are never negative nor zero, hence -

AD > AM.

AD > MD.

Therefore, whole is grater than part.

The exterior angle inequality theorem states that the measure of any of the exterior angles of a triangle is greater than either of the opposite angles, hence -

m∠DMG > m∠A.

m∠DMG > m∠G.

Therefore, exterior angle inequality theorem is shown.

It is given that the length of line segment AM is less than the length of line segment AG.

Applying the law of sines, it is seen that -

AM/sin G = AG/sin M

AG = AM sin M / sin G

Since AG < AM, sin(M) < sin(G) and m∠AGM < m∠AMG.

Therefore, this shows that if unequal sides, then unequal angles.

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The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

What is the system of linear equations?

A system of linear equations is a set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

The graph that shows the solution to the system of linear equations is the coordinate plane with one line that passes through the points 0, 0, and 2, 1 and another line that passes through the points 0, 4, and -1, 1.

When two lines intersect, their point of intersection is the solution to the system of linear equations.

In this case, the point of intersection is (2, 1) which means x = 2 and y = 1.

Hence, The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

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Answer:

i believe James is 7

Step-by-step explanation:

so, James (j) is 2x as old as Zack (z) so one way to get to 20 is by adding 5, 4 times, that leaves the extra 3 which we add to James's age and there for making Zach 5 years old.  

5 < 7

Answer:

below

Step-by-step explanation:

x = one number

x+23 = second number       <======added together the equal  -14

x   +    x+23    =   -14

2x = -37

x = -18.5       other number = x+23 =  4.5

Answer:

Step-by-step explanation:

Sharon has taken 5 tests so far, and the final will make that 7, since it counts as 2 tests.  If her average is 80 then her total score on all tests must be 80 x 7 = 560.

So far she has scored a total of 77 + 84 + 72 + 65 + 96 = 394

She must therefore score

560 - 394 = 166

on the "double" final.

Her percentage score on the final must be 166/2 = 83.

Answer:

The scale of a map tells you the relationship between the distance on the map and the actual distance in real life. In this case, the scale of the map is 1 inch : 6 miles, which means that 1 inch on the map represents 6 miles in real life.

To find out how many inches on the map 78 miles represents, you can use the following formula:

distance on the map = distance in real life / scale

So in this case:

distance on the map = 78 miles / 6 miles/inch

distance on the map = 78/6 inches

So 78 miles from the airport will be 13 inches on the map.