A student creates a pattern using division.

10 000, 1000, 100, …

At which term number will the term be the first decimal number in the pattern?


Term 5 Term 6 Term 7

Answer:

(-65)/17

Step-by-step explanation:

Evaluate 3/(x - 2) - sqrt(x - 3) where x = 19:

3/(x - 2) - sqrt(x - 3) = 3/(19 - 2) - sqrt(19 - 3)

19 - 3 = 16:

3/(19 - 2) - sqrt(16)

19 - 2 = 17:

3/17 - sqrt(16)

sqrt(16) = sqrt(2^4) = 2^2:

3/17 - 2^2

2^2 = 4:

3/17 - 4

Put 3/17 - 4 over the common denominator 17. 3/17 - 4 = 3/17 + (17 (-4))/17:

3/17 - (4×17)/17

17 (-4) = -68:

3/17 + (-68)/17

3/17 - 68/17 = (3 - 68)/17:

(3 - 68)/17

3 - 68 = -65:

Answer: (-65)/17

Answer:

-3.86

Step-by-step explanation:

Replace x with 19.

f(19) = 3/(19+2) - √19-3

f(19)= 1/7 - 4

f(19) = -3.86

Answer:

x = 36

Step-by-step explanation:

the numbers are both multiplied by 3

Answer:

yes

Step-by-step explanation:Because if you  divide 8/18 by 2 you get 4/9 so yes

Answer:

Yes.

Step-by-step explanation:

4/9 IS equivalent to 8/18. If you simplify 8/18 it is equal to 4/9, therefore they have the same value.

Hope this helps, have a good day :)

Answer:

The correct answer to your problem is 32. This is a TWO-STEP equation.

Step-by-step explanation:

Always divide and multiply FIRST.

12 ÷ 2 = 6

6 x 6 = 36

1 + 36 = 37

37 - 5 = 32

Answer:

32

Step-by-step explanation:

PEMDAS

1 + 12 ÷ 2 • 6 - 5

12 ÷ 2=6

6•6=36

1+36=37

37-5=32

Answer:

AB = 2

Step-by-step explanation:

the triangles are similar so that means there is a constant ratio for each side length. so comparing the ratios from the bigger triangle to the smaller triangle,  leaves us with 9/3 and 15/5. if you take those and divide them you get 3 for both of them which is the constant. so then in order to find the length of AB just take the side length of XY (6) and divide it by 3 (the constant ratio) and there you have your answer!

hope this helps.

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).

Answer:

x/5 =

Step-by-step explanation:

to find this,, you put x / 5 = 20 meaning you need to multiply 20 by 5 to get 100. 100/5 =20

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

Option C:  Loan F's effective rate will be 0.302 percentage points lower  than Loan G's.

Effective rate for loan F will be calculated as:

\(r = (1 + \dfrac{0.0566}{12})^{12} - 1 \: \: ; n = 12\\or\\r = 0.0580916\)

Effective rate for loan G:

\(r = (1 + \dfrac{0.0602}{2})^{2} - 1 \: \: ; n = 2\\or\\r = 0.061106\)

Thus the difference between effective rate of loan G from that of loan F is

\(= 0.061106 - 0.058091\\\approx 0.00302\\or\\0.00302 \times 100 \: percent\\\\= 0.302 \: percent\)

Thus option C is correct.

Learn more here:

https://brainly.com/question/25857212

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

In this scenario, Tony is the one who comes out behind, and by $14. Tony's loss of $14 is smaller than Dave's loss of $20, making Tony the one who comes out behind by a smaller amount.

Tony initially purchases a hat for $14 and gives Dave a $20 bill. Since Dave doesn't have any change, he goes to Laura at Watson's Hardware store and exchanges the $20 bill for twenty $1 bills. Dave gives Tony $6 in change, which means Tony effectively paid $8 for the hat ($14 - $6).

However, it is later discovered that the $20 bill given to Laura by Dave was counterfeit. As a result, Dave compensates Laura by giving her a genuine $20 bill from the store's till. This means that Dave essentially lost $20 in the process.

So, in total, Tony ends up $14 behind because he paid $8 for the hat and received $6 in change, while Dave ends up $20 behind due to the counterfeit $20 bill. Tony's loss of $14 is smaller than Dave's loss of $20, making Tony the one who comes out behind by a smaller amount.

To learn more about smaller amount click here : brainly.com/question/30837774

#SPJ11

The conditions for a binomial setting that have been met for this scenario.

Binary: Yes, the outcome of each trial is binary - the volunteers either correctly identify the diet cola or they do not.

Independent: Yes, it is assumed that the taste perception of one volunteer does not influence the taste perception of another. Therefore, the trials can be considered independent.

Number of trials: Yes, the number of trials is clearly defined as 175 volunteers participating in the taste test.

Same probability: Yes, the probability of correctly identifying the diet cola is assumed to be the same for all volunteers, stated as 0.5 in this case.

Therefore, all four conditions for a binomial setting have been met in this scenario.

Learn more about Binomial Setting here: brainly.com/question/7463132

#SPJ11

Using the law of Sines we obtain:

b = 47.7,

Angle A = 96.7,

Angle B = 67.3.

Given : a = 14, c = 20, and angle C = 16 degrees

To Find: b, Angle A and Angle B.

When we are given two sides and one angle or two angles and one side and we need to find the remaining sides and angles we use law of Sines.

It relates the sine of the angle to the ratio of the side opposite to it and is given as;

a / sin A = b / sin B = c / sin C

Where, a, b, and c are sides of a triangle and A, B, and C are the angles of a triangle.

b / sin B = c / sin C  

b / sin B = 20 / sin 16

b = sin B × 20 / sin 16

b = sin B × 20 / 0.27563736

b = 727.213721×sin B

Because b is always less than the length of c, so we will choose the smaller solution.

b = 47.7 (rounded to one decimal place)

Angle A = 180 - C - B  = 180 - 16 - 67.3 = 96.7

Angle B = 180 - C - A = 180 - 16 - 96.7 = 67.3

To know more about Law of Sines refer here:

https://brainly.com/question/13098194#

#SPJ11

Therefore, one relief employee can cover 2 regular employees in a week by probability.

Assuming that each regular employee works for 5 days a week, and one relief employee is available to cover the remaining two days, we can calculate the number of regular employees that can be covered by one relief employee as follows:

One relief employee covers 2 days/week.

So, the number of regular employee days that one relief employee can cover in a week is:

2 days/week × 1 week = 2 days

Therefore, the number of regular employees that one relief employee can cover in a week is:

5 days/week ÷ 2 days = 2.5 regular employees

However, since we cannot have half of an employee, we round down to the nearest whole number.

Therefore, one relief employee can cover 2 regular employees in a week.

To know more about probability,

https://brainly.com/question/30034780

#SPJ11

We have cut out a total of 29370 squares.

First, let's find the greatest possible square that can be cut from the rectangle. This square will have a side length equal to the width of the rectangle, which is 26 units.

After cutting this square from the rectangle, we are left with a smaller rectangle that measures 90 units by (90-26=) 64 units.\

Now we repeat the process and cut out the largest possible square, which has a side length of 64 units.

After cutting out this square, we are left with a rectangle that measures 64 units by (64-26=) 38 units.

We continue this process until we can no longer cut out any more squares.

The side length of the remaining rectangle will be the length of the last square that we cut out.

Let's call this side length x.

At this point, the length of the rectangle is equal to the width, so:

90 - 26 - 64 - 38 - ... - x = x.

Simplifying this equation, we get:

(90 - 26 - 64 - 38 - ...) + x = x

2x = 90 - 26 - 64 - 38 - ...

2x = 90 - (26 + 64 + 38 + ...)

2x = 90 - (26 + 64 + 38 + 26 + 16 + 4 + 2)

2x = 90 - 176

2x = -86

x = -43

Since x cannot be negative, we know that we cannot cut out any more squares.

Therefore, we have cut out a total of:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2\)

To calculate this sum, we can use the formula for the sum of the squares of the first n natural numbers:

\(1^2 + 2^2 + 3^2 + ... + n^2 = n(n+1)(2n+1)/6.\)

We need to find the value of n such that \(n^2\) is equal to \(43^2\)or the closest perfect square below it, which is \(42^2\).

We have:

\(42^2 = 1764.\)

\(43^2 = 1849\)

So n is equal to 42.

Therefore, the sum of the squares of the squares we have cut out is:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2 = 26^2 + 64^2 + 38^2 + ... + 42^2\)

\(= 1^2 + 2^2 + 3^2 + ... + 42^2 - (1^2 + 2^2 + 3^2 + ... + 25^2)\)

\(= 42(42+1)(242+1)/6 - 25(25+1)(225+1)/6.\)

= 29370.

For similar question on square.

https://brainly.com/question/29271010

#SPJ11

Answer:

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

Step-by-step explanation:

For a quadratic equation:

\(x^2+bx+c=0\)

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

\(x^2-18x+80=0\)

Factoring by finding two numbers that add up to 18 and have a product of 80:

\((x-10)(x-8)=0\)

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Formula for the circumference of a circle =2pir

Since the diameter is 10m the radius is half of that which is 5m.

2×3.14×5=31.4m

Step-by-step explanation:

I hope this helps.Have a great day♡

ANSWER

y = -1.2x - 2

EXPLANATION

We want to find the equation of the line that passes through points (-5, 4) and (5, -8).

To do this, we use the formula:

From the question:

x1 = -5

y1 = 4

x2 = 5

y2 = -8

Therefore:

That is the equation of the line that passes through those points.

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

Learn more about equation

brainly.com/question/29657983

#SPJ11

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.

A function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.

To show that a function from a finite set s to itself is one-to-one if and only if it is onto, we need to consider two cases.

let's assume that the function is one-to-one. This means that for every pair of distinct elements x and y in the set s, the function maps them to distinct elements in the set s. In other words, if f(x) = f(y), then x = y. Since the set s is finite, and the function maps each element to a distinct element, there must be an equal number of elements in the domain and the range of the function. Therefore, the function must be onto as well.

Now let's assume that the function is onto. This means that for every element y in the set s, there exists an element x in the set s such that f(x) = y. In other words, every element in the range of the function is mapped to by some element in the domain of the function. Since the set s is finite, and the function maps each element to a unique element, there cannot be any elements in the range of the function that are not mapped to by some element in the domain of the function. Therefore, the function must be one-to-one as well.

In summary, a function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.

Learn more about finite set

brainly.com/question/31212187

#SPJ11

Answer: 28 inches

Step-by-step explanation:

Since their areas are the same their perimeter would be the same too. So plug 8 in for the length, for the formula of perimeter( 2(L+W) ) which would be 2(8+6) and you get 28

In discrete mathematics, a truth table is a table that lists all possible combinations of truth values for a given set of logical variables and shows the resulting truth values of a compound proposition.

In discrete mathematics, a truth table is a table that lists all possible combinations of truth values (usually either true or false) for a given set of logical variables and shows the resulting truth values of a compound proposition (a logical expression formed by combining the variables using logical operators such as AND, OR, and NOT). Each row of the truth table represents one possible combination of truth values, and the columns represent the variables and the various intermediate steps of the logical calculation. Truth tables are often used to determine the truth values of complex propositions and to test the validity of logical arguments.

Learn more about discrete mathematics here: brainly.com/question/30409326

#SPJ4

Answer:

y ≥ 9

Step-by-step explanation:

−2(4y+4)+5y ≤ −35

-8y - 8 + 5y ≤ -35

-3y - 8 ≤ -35

-3y ≤ -27

y ≥ 9

Answer:

So There will be 2 congruent angle