Write 2 3/7 as an improper fraction. Give your answer in its lowest terms.​

If the arr =  {2, 6, 10, 99, 898) and key = 898 , then the depth of recursion in the binary search is (c) 2 .

The Depth of Recursion in Binary Search refers to the number of recursive calls required to find the target element in the array.

In the Binary Search,  the array is repeatedly divided in half until , we find the target element or conclude that it is not present in the array.

The target element (Key) is = 898 and the array is {2, 6, 10, 99, 898} .

The initial array is divided into two parts: {2, 6, 10, 99} and {898} ;

Since 898 is larger than 99, we only need to consider the right half of the array: that is {898}.

The next step is to compare the target element (Key) = (898) with the middle element which is {898} .

and Since they both are equal, we have found the target element.

Therefore , the depth of recursion in this binary search is (c) 2.

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

[tex]\mathsf{a + b - 3}\\\mathsf{= 10 + 7 - 3}\\\mathsf{= 17 - 3}\\\mathsf{= 14}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{14}}}\huge\checkmark[/tex]

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

Answer:

[tex] - \frac{2}{9} \div 3 \frac{1}{4} \\ \\ \dashrightarrow \: - \frac{ 2}{9} \div \frac{13}{4} \\ \\ this \: can \: also \: \: be \: written \: as \: \\ \dashrightarrow \: - \frac{2}{9} \times \frac{4}{13} \\ \\ \dashrightarrow \: \boxed{ \: - \frac{8}{117} }[/tex]

hope helpful! :)

Answer:

-8/117

Step-by-step explanation:

[tex]\frac{-2}{9} /3\frac{1}{4} \\\\[/tex]

-first simplify 3 1/4

-simply multiply 4 by 3 and add 1. This is how you convert mixed fractions to whole fractions. Multipy denominator by whole number and add the numerator. The denominator stays the same so this will become

=13/4

- next because you're dividing two fractions, it is easier to take reciprocal of the denominator. You flip the fraction and change the sign. So instead of dividing by 13/4, you multiply by 4/13

- lets move the negative fraction (-2/9) to rigth hand side to make things easier to visualize. so our expressions right now will be:

=[tex]\frac{4}{13} *\frac{-2}{9}[/tex]

-now multiply like normal

= -8/117

The 4-day SMA for International Business Machines Corp is $122.928.

Trading is the process of buying and selling goods or services in exchange for money. It involves the transfer of ownership of an asset in return for a payment. Trading is the backbone of the global economy, and it has been around for centuries. It involves a wide range of activities including buying and selling stocks, currencies, commodities, and other financial instruments. Trading can be done both offline and online in today's world, and requires a significant amount of knowledge and experience to be successful.

The 4-Day Simple Moving Average (SMA) for International Business Machines Corp is calculated as follows:

($122.85 + $120.70 + $123.61 + $123.18 + $122.03 + $122.82 + $124.14 + $124.92 + $124.06 + $121.69) / 10 = $122.928

Therefore, the 4-day SMA for International Business Machines Corp is $122.928.

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The formula for the sum of the infinite series is; Sn= 4/1 - 3/4. Option D

An infinite geometric series is a series of numbers in which each term is a constant multiple of the previous term. The sum of an infinite geometric series can be found if the absolute value of the common ratio is less than 1.

The formula for the sum of the infinite geometric series can be found to be;

Sn = a/1 - r

r = common ratio

a = first term

Sn = Sum of the terms

Sn = 4/1 - 3/4

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The function f(x) is equal to x√x.

The value of a is 25/4.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given integration is

[tex]5+\int_a^x\frac{f(t)}{t^2}dt =2\sqrt{x}[/tex]

Rewrite the equation

[tex]\int_a^x\frac{f(t)}{t^2}dt[/tex]= 2√x - 5

The differentiation of 2√x is f(t)/t² at t = x.

The differentiation of 2√x is 1/√x.

Therefore, 1/√x = f(x)/x²

x²/√x = f(x)

f(x) = x√x

Putting f(t) = t√t in the given equation:

[tex]5+\int_a^x\frac{t\sqrt{t} }{t^2}dt =2\sqrt{x}[/tex]

[tex]\int_a^x\frac{1 }{\sqrt{t}}dt =2\sqrt{x}-5[/tex]

[tex][2\sqrt{t}]_a^x[/tex] = 2√x - 5

2√x - 2√a = 2√x - 5

2√a = 5

√a = 5/2

Square both sides:

a = 25/4

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The result when,

4.08 divided by 6.4 is  6.375

730.5 divided by 1.5 is  487

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Two statements,

08 divided by 6.4

and 730.5 divided by 1.5

⇒  4.08/6.4

4.08 & 6.4 cab be written as

⇒ 408/100 & 64/10

So, 408/100÷ 64/10

⇒  408 ÷ 640

⇒   6.375

Similarly,

730.5 ÷ 1.5

⇒   487

Hence, the results are respectively 6.375 & 487

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Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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The range is 4.5, and it means that the data varies by a value of 4.5.

What is the data set?

A data set is an ordered collection of data. As we know, a collection of information obtained through observations, measurements, study, or analysis is referred to as data. It could include information such as facts, numbers, figures, names, or even basic descriptions of objects.

The range is the difference between the largest and smallest values in a data set.

In this case, the largest value is 8 and the smallest value is 3.5, so the range is 8 - 3.5 = 4.5.

This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Hence, The range is 4.5, and it means that the data varies by a value of 4.5.

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Answer:

m=1

Step-by-step explanation:

In proportion the complete table is ,

r      1      2       4          [tex]1\frac{1}{2}[/tex]

V    4     32     256      [tex]13\frac{1}{2}[/tex]

What is proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

Here the given is V∝[tex]r^3[/tex] .

To remove proportion we need to include constant then,

=> V = k[tex]r^3[/tex]

Now put r=1 and V= 4 then

=> 4= k*1

=> k=4

Then the equation is V=4[tex]r^3[/tex].

Now put r=2 then

=> V= 4[tex]\times 2^3[/tex]

=> V= 4× 8 = 32

Now put V=256 then

=> 256 = 4[tex]r^3[/tex]

=> [tex]r^3=\frac{256}{4}[/tex]

=> [tex]r^3=64[/tex]

=> r = 4

Now r=1[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5 then

=> V= 4[tex]\times 1.5^3[/tex]

=> V=[tex]\frac{27}{2}[/tex]

=> V = [tex]13\frac{1}{2}[/tex]

Hence the complete table is,

r      1      2       4          [tex]1\frac{1}{2}[/tex]

V    4     32     256      [tex]13\frac{1}{2}[/tex]

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The equation p = 8.25 + 3 inches can be used for finding the length p of the plank before chandler cuts it.

Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

In mathematics, addition is the process of joining two or more integers. The numbers being added are known as addends, and the result or final response obtained after the procedure is known as the total.

From the given data,

The length of the plank cut by the chandler =3 inches

The correct length = 8.25 inches.

So, for finding the value of the length p of the plank before the chandler cuts, we will add the value of the correct length and the length of the plank cut by the chandler.

So, the value of p will be: 8.25+3 = 11.25 inches.

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The graph that is decreasing when x > 3 is Graph y .

With graph W, when x > 3, the graph is still increasing as shown by the arrow going up . With graph x , when the graph gets to the point where x > 3, it will keep increasing as well .

For graph Y, the graph rises all the way up to x = 3 and then from there, begins to decrease. This means that for all points where x > 3, the graph would be decreasing.

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a. The y coordinate of the center of the circle is -1.

b. The value of b in the equation is 44 units.

The solution has been obtained using circles.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

a. We are given the equation as

x² + y² - 4 x + 2 y = b

On solving the equation, we get

x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1

This can be written as

( x - 2 )² + ( y + 1 )² = b + 5   ...(1)

So, the y - coordinate of the center of the circle is - 1.

b. We know that equation of circle is

( x - a )² + ( y - c)² = r²

On comparing this with (1), we get

b + 5 = r²

b + 5 = 7²

b + 5 = 49

b = 49 - 5

b = 44

Hence, the value of b is 44 units.

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The equation models "Value of the house = 200,000 * (1 + 0.07t)" is properly representing the condition given.

Let's call the number of years passed "t".

The value of the house after t years is given by the equation:

Value of the house = 200,000 * (1 + 0.07t)

This equation models the situation where the value of the house increases by 7% each year, starting from 200,000.

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).

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The total distance covered by the circle is  15.14 inches.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, A circle with a radius of 1 inch rolls without slipping along the sides of a right triangle.

We know the distance around the triangle is the perimeter of the triangle.

The perimeter of the triangle is the sum of the lengths of all the sides.

Here, 'M' is the perimeter and 'N' is the number of complete rotations.

Therefore,

M + Nπ.

= (3 + 4 + 5) + 1(3.14).

= 12 + 3.14.

= 15.14 inches.

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The product of (-8) and a number at most 50 will be

50 * (-8) = -400

Mathematicians use multiplication to calculate the sum of two or more numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.

a mathematical operation that accepts two integers and outputs a result that is equal to the sum of a column that has one of the values repeated the same amount of times as the other number. Eight times three equals the total of eight times eight.

The product of (-8) and a number at most 50 will be

50 * (-8) = -400

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The value of t is 20 percent greater than the value of r

Here, the value of r is 4/5 times the value of t.

This means, the value of r would be,

r = (4/5)t

This means, the value of t is greater than the value of r by (t - r)

We find the value of (t - r)

t - r

= t -  (4/5)t

= t (1 - 4/5)

after simplifying this expression we get,

t - r = (1/5)t

This means, the value of t is greater than the value of r by (1/5)

To find the percent :

1/5 × 100

= 20%

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The complete question is:

the value of r is 4/5 times the value of t; where r > 0. The value of t is what percent greater than the value of r ?

Answer: 18x-4

Step-by-step explanation:

4x^2-2+2x= 18x-4

Answer:

Approximately 33,510.7 cubic millimeters.

Step-by-step explanation:

The volume of a sphere can be calculated using the formula: V = 4/3 * π * r^3, where r is the radius of the sphere.

The diameter of the table tennis ball is 40 mm, so the radius is r = 40/2 = 20 mm.

To convert millimeters to cubic millimeters we have to cube the value of radius, so in this case, 20mm20mm20mm.

So, the volume of the table tennis ball in cubic millimeters is:

V = 4/3 * π * 20^3 = 4/3 * π * 8000 = approximately 33,510.7 cubic millimeters.

Answer:

The equation y = -2x + 1 describes a line on a coordinate plane. To find two ordered pairs that work, you can pick any two x-values and plug them into the equation to get the corresponding y-values. For example, if you choose x = -1 and x = 4, then the corresponding y-values are y = -2(-1) + 1 = 1 and y = -2(4) + 1 = -7. This means that the two ordered pairs that work are (-1, 1) and (4, -7).

Answer:

This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:

X^(2) - 7x + c = x^(2) + 2ax + a^(2)

And we can set them equal to each other and solve for a and c:

x^(2) - 7x + c = x^(2) + 2ax + a^(2)

-2ax - a^(2) = -7x + c

a = (7x - c) / 2x

c = x^(2) - 7x + a^(2)

Note that this is valid as long as x is not equal to 0.

Answer:

1500%

Step-by-step explanation:

1mm = 100% /*15

15mm = 1500%

Given - Cos^2(45) + cos ^2(60) + cos^2(y) = 1

We Know ,

Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2    ------- 1

cos^2(60)= (1/2)^2       --------2

From equation 1 &2

1/2 + 1/4 + cos^2(y) =1

cos^2(y) = 1- (1/2 + 1/4)

cos^2(y) = 4-2-1/4

cos^2(y) = 1/4

cos (y) = [tex]\sqrt{1/4}[/tex]

cos (y) = 1/2

cos (y) = cos (60)

y=60

The value of y that is being determined by the given

trigonometric equation Cos^2(45) + cos ^2(60) + cos^2(y) = 1 is y = 60

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations in a triangle. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

Given that, Cos^2(45) + cos ^2(60) + cos^2(y) = 1

We Know that ,

cos(45) = 1/[tex]\sqrt{2}[/tex]  and cos(60) = 1/2

hence, Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2          (1)

cos^2(60)= (1/2)^2         (2)

From equation 1 &2

1/2 + 1/4 + cos^2(y) =1

cos^2(y) = 1- (1/2 + 1/4)

cos^2(y) = 4-2-1/4

cos^2(y) = 1/4

cos (y) = 1/[tex]\sqrt{4}[/tex]

cos (y) = 1/2

cos (y) = cos (60)

Therefore , y=60

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Answer:

The function h(x) represents the cost of the jeans if you first use the coupon and then apply the store discount. The function h(x) can be computed using the composition of functions f(x) and g(x). The function j(x) represents the cost of the jeans if you first apply the store discount and then use the coupon. The function j(x) can be computed using the composition of functions g(x) and f(x).

If you use the composition h(x), you will pay $27 for the jeans. If you use the composition j(x), you will pay $30 for the jeans. Therefore, the composition h(x) will give you a better discount since it is cheaper.

Answer:

5:12pm

Step-by-step explanation:

Total hours Mr. White used: 312M/60MPS=5.2hours

0.2 hour is 12 minutes.

He start at noon, 12  o'clock, so he will be there at 5:12pm

Answer:

0, 1 and 2

Step-by-step explanation:

1) Find the possible values of x

2) Find the possible values of y

3) See the numbers that are the same

Have a lovely day :)

1. [tex]\overline{AB} \cong \overline{CB}[/tex], [tex]D[/tex] is the midpoint of [tex]\overline{AC}[/tex]

2. [tex]\overline{AD} \cong \overline{DC}[/tex]

3. [tex]\overline{BD} \cong \overline{BD}[/tex]

4. [tex]\triangle ABD \cong \triangle CBD[/tex]

Answer:

The expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.

Each day, Leon uses 3 grams of tea leaves to make a cup of tea. Therefore, the amount of tea leaves remaining can be calculated by subtracting the amount used each day from the initial amount of tea leaves.

450 (initial amount of tea leaves) - 3x (amount used each day) = remaining amount of tea leaves after x days.

Therefore, the expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.

Step-by-step explanation:

Hope this helps!