120/800 as a repeating decimal

Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

The values of p and q that satisfy two simultaneous equations can be determined by identifying the coordinates at which the corresponding lines intersect on a graph.

Simultaneous equations represent a system of equations that need to be solved together to find the values of the variables involved.

By graphing the equations on a coordinate plane, the points of intersection between the lines represent the values of p and q that satisfy both equations simultaneously.

These intersection points correspond to the values where the equations are true at the same time. The x-coordinate of the intersection point represents the value of p, while the y-coordinate represents the value of q.

By visually inspecting the graph, one can identify the coordinates of the intersection, which provide the solution to the simultaneous equations and represent the values of p and q that satisfy both equations.

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Answer:

\(\sqrt{28\)

Step-by-step explanation:

a^2 + b^2 = c^2.

if you draw out the triangle, you can substitute numbers into an equation.

6^2 + b^2 = 8^2

36 + b^2 = 64

b^2 = 64 - 36

b^2 = 28

b = \(\sqrt{28}\)

Answer: 10.5

Step-by-step explanation:

The region "r" in the first quadrant is bounded by the graph of y = 8 - \(x^(3/2)\).

To understand the region "r" bounded by the graph of y = \(8 - x^(3/2)\), we need to analyze the behavior of the equation in the first quadrant. The given equation represents a curve that decreases as x increases.

As x increases from 0, the term\(x^(3/2)\) becomes larger, and since it is subtracted from 8, the value of y decreases. The curve starts at y = 8 when x = 0 and gradually approaches the x-axis as x increases.

The region "r" in the first quadrant is formed by the area between the curve y = \(8 - x^(3/2)\) and the x-axis. It extends from x = 0 to a certain value of x where the curve intersects the x-axis.

Overall, the region "r" in the first quadrant is bounded by the graph of y = 8 - x^(3/2), and its precise boundaries can be determined by solving the equation \(8 - x^(3/2)\) = 0.

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Let r be the region in the first quadrant bounded by the graph \(y=8- x^ (3/2)\) Find the area of the region R . Find the volume of the solid generated when R is revolved about the x-axis

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

   4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

The number of ways to plan her schedule of menus for the 20 school days is 10^20.

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.

For each day, there are ten different choices for what she will cook that day. 20 decisions are made, one for each day with ten different possibilities for each choice.

The complete question is: A school cook plans her calendar for the month of February in which there are 20 school days. She plans exactly one meal per school day. Unfortunately, she only knows how to cook ten different meals.

How many ways are there for her to plan her schedule of menus for the 20 school days if there are no restrictions on the number of times she cooks a particular type of meal?

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Answer:

hope it help ..........you

Answer: To find the mean hourly wage, you need to sum up the total wages of all employees and then divide by the number of employees. The total hourly wage for 25 phone operators is 25 * $22.85 = $571.25. The total hourly wage for 5 supervisors is 5 * $27.25 = $136.25. The combined total is $571.25 + $136.25 = $707.50. The mean hourly wage for the 30 employees is $707.50 / 30 = $23.58. So, the answer is approximately $23.58.

Step-by-step explanation:

Answer:

Ab and Xz are congruent, and B=X, A=Z, which proves it is with SAS

Step-by-step explanation:

Answer:

in simplify this is- 9a2i+42ab+49b2

Step-by-step explanation:

The equation that will be used to solve the total number of loaves will be 10 + 3h.

Based on the question, the equation to solve the question will be:

= 10 + 3(h)

= 10 + 3h

where, h = number of hours

The dependent variable is 10 and the independent variable is 3h.

The number of loaves that the baker will make if he has 4 hours left in his shift will be:

= 10 + 3h

= 10 + 3(4)

= 10 + 12

= 22 loaves.

He'll make 22 loaves

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1. The ratio of the total amount of coins that are dimes is,  55/154.

2. The number of dimes in the bag is  1.8 times of the quarters.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

We know, A ratio a : b can be written as a/b, and the fraction of a in a : b is a/(a + b).

1. Given, The ratio of quarters to dimes in a money bag is 99 : 55.

Therefore, The fraction of the total number of coins is the number of dimes

is = 55/(99 + 55).

= 55/154.

2. The number of dimes is 99/55 = 1.8 times of the quarters.

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Answer: Yes, the statement is true for all n ≥ 347!

Step-by-step explanation:

Yes, the statement is true for all n ≥ 347.

To prove this, we can use the following proof by induction.

Base Case: For n = 347,

(347)^2/((ln^2)−1) − ((347^2)/2) / ln (((347^2)/2)−1.1)

= 119,531,939/((8.0738)-1) - (599,634,441/2) / ln (599,634,441/2 - 1.1)

= 13,731,417.97 - 299,817,220.5 / ln (598,532,240.9)

= 13,731,417.97 - 299,817,220.5 / 14.9292

= 13,731,417.97 - 19,999,092.17

= 13,532,325.8 > 0

Inductive Step: Assume that the statement is true for n = k, for some k ≥ 347. We must now show that it is also true for n = k + 1.

(k+1)^2/((ln^2)−1) − (((k+1)^2)/2) / ln (((k+1)^2)/2 − 1.1)

= (k^2 + 2k + 1)/((ln^2)−1) − ((k^2 + 2k + 1)/2) / ln (((k^2 + 2k + 1)/2)−1.1)

= k^2/((ln^2)−1) + 2k/((ln^2)−1) + 1/((ln^2)−1)

- (k^2/2 + k + 0.5) / ln ((k^2/2 + k + 0.5) − 1.1)

= k^2/((ln^2)−1) + 2k/((ln^2)−1) + 1/((ln^2)−1)

- (k^2/2 + k + 0.5) / ln ((k^2 + 2k + 0.5) − 1.1)

= k^2/((ln^2)−1) + 2k/((ln^2)−1) + 1/((ln^2)−1)

- (k^2/2 + k + 0.5) / ln ((k^2 + 2k + 0.5) − 1.1)

> k^2/((ln^2)−1) + 2k/((ln^2)−1) + 1/((ln^2)−1)

- ((k^2 + 2k + 1)/2) / ln (((k^2 + 2k + 1)/2) − 1.1)

= (k+1)^2/((ln^2)−1) − (((k+1)^2)/2) / ln (((k+1)^2)/2 − 1.1)

Since the right side of the inequality is greater than the left side, the statement is true for n = k + 1.

Therefore, by the principle of mathematical induction, the statement is true for all n ≥ 347.

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps

Answer:

x=-1/10

y=(-1/10)x0.5

so that y=-1/5

Step-by-step explanation:

The geometric multiplicity is equal to the algebraic multiplicity, then t is diagonalizable.

The word "nilpotent" is missing from the title, rather confusing, since being nilpotent is easily seen to be the only possible obstruction against being diagonalisable for a rank 1 operator. After all, by rank-nullity this implies the nullity equals n−1, and this is (by definition) the dimension of the eigenspace for 0. Also Im(T) is always T-stable, so being of dimension 1 its nonzero vectors are eigenvectors, and if this is for a nonzero eigenvalue λ, then the eigenspaces for 0 and for λ are complementary, and so T is diagonalisable.

So the only thing that can go wrong is that the nonzero vectors of Im(T) are eigenvectors for 0, but then clearly T2=0 so T is nilpotent.

It would have been a bit more fun if instead of T not being nilpotent it had been given that T has nonzero trace. Since 0 is a root of the characteristic polynomial χT with multiplicity at least n−1 (which is its geometric multiplicity), the "final" root of χT equals the sum of all its roots, which is the trace of T. This is also the eigenvalue of nonzero vectors in Im(T), and as we have seen it is zero if and only if T is nilpotent if and only if T is not diagonalisable.

Hence the answer is the geometric multiplicity is equal to the algebraic multiplicity, then t is diagonalizable.

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The number of hours x and the number of bows y are related by the equation y = 6x.

The rel-ationship between quantities x and y is given by y = kx, where k is the constant of proportion if two quantities are proportional to one another.

The graph of y = kx is a straight line that passes through the origin.

Let k be the constant of proportion.

So, the relation between

The line is passing the number of hours x and the number of bows y is given by y = kx

The line is passing through point (1,6).

Put (x,y) = (1,6) in y = kx

6 = k(1)

k = 6

So,

y = 6x

Hence, the rel-ationship between the number of hours, x, and the number of bows, y is given by y=6x.

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Answer:

Step-by-step explanation:

rate of change is essentially slope

\(Rate Of Change = \frac{rise}{run}\)              or

\(Rate Of Change = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)          or

\(Rate Of Change = \frac{f(x_{2})- f(x_{1}) }{x_{2} -x_{1} }\)

Answer:

This leads to C:  x + y > 2 and 2x - y > 1

Step-by-step explanation:

All of the answer options have the same structure, with the exception of the < and > signs.  We can assume the the two lines on the graph conform to the line defined by:

x + y =2, and

2x - y = 1

See the attached graph.  The lines y = -x+2 and y = 2x-1 match the provided graph.

But the equations are all inequalities.  So the darker areas represent the possibilities of values for x and y.  The darkeest area is where the solutions for both equations overlap, so look for equations that would satisfy that situation.  As shown, the equations are:

     y<2x-1, and

     y>-x+2

Rearrange these to match the options:

y-2x < -1, and

y + x > 2

---

Note that y-2x < -1 is the same as 2x-y > 1

This leads to C:  x + y > 2 and 2x - y > 1

The original price of the car stereo system was $82.50. Let us consider the original price of the car stereo system to be `x`.

The sale price is given as $57.75

Discount given is 30%.

Percentage of discount = 30% = 30/100 = 0.3

We know that Discount = Original price × Percentage of discount

Applying this, we get:

Original price × 0.3 = x × 0.3= 0.3x

Sale price = Original price - Discount

= x - 0.3x

= 0.7x

Given that sale price was $57.75,0.7x = $57.75

Dividing by 0.7 on both sides, we get:x = $82.50

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(a) The rate of change of your elevation when walking in the direction of the origin is given by the gradient of the function f(x, y) = \(x^2 - 2x + y + cos(xy)\)at the point where you are standing.

(b) The initial direction of the ball's roll when dropped depends on the contour lines of the function\(f(x, y) = x^2 - 2x + y + cos(xy)\)near the point where you're standing.

(a) To determine the rate of change of your elevation when walking in the direction of the origin, we need to find the gradient of the function f(x, \(y) = x^2 - 2x + y + cos(xy)\)at the point where you are standing.

The gradient vector of a function gives us the direction of steepest ascent at a given point. The components of the gradient vector indicate the rate of change of the function in the x and y directions.

Taking the partial derivatives of f(x, y) with respect to x and y, we have:

∂f/∂x = 2x - 2 - ysin(xy)

∂f/∂y = 1 - xsin(xy)

(b) To determine the initial direction of the ball's roll when dropped, we need to examine the behavior of the surface near the point where you're standing. Specifically, we need to consider the contour lines or level curves of the function f(x, y) = x^2 - 2x + y + cos(xy) near that point.

The contour lines are curves on the surface where the function f(x, y) takes constant values. The direction in which the ball will initially roll is perpendicular to these contour lines.

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Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

Step-by-step explanation:

by using the pythagoras theorem,

the height of the ladder touching the wall =

√(20²- 4²)

=√ (400-16)

=√384

= 8√6 feet

or 19.6 feet

Using Pythagorean theorem

\(\\ \rm\longmapsto P^2=H^2-B^2\)

\(\\ \rm\longmapsto P^2=20^2-4^2\)

\(\\ \rm\longmapsto P^2=400-16\)

\(\\ \rm\longmapsto P^2=384\)

\(\\ \rm\longmapsto P=\sqrt{84}\)

\(\\ \rm\longmapsto P=19.6ft\)

The probability that one can slide the puck into the light gray area will be 0.72.

From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.

In this case, the probability that you slide the puck into the light gray area will be:

= 4feet/(4 feet + 1.5 feet)

= 4/5.5

= 0.72

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Answer:

The second one

Step-by-step explanation:

Answer:

Simplify  

58 /35

(Decimal: 1.657143)

Step-by-step explanation: