How is [tex]\frac{22}{7}[/tex] a rational number

Answer:

25.85 cubic feet

Step-by-step explanation:

Volume of a cylinder is

Base Area • height

The Base Area of a cylinder is a circle. The area of a circle is pi•r^2.

Vol = pi•r^2•h

They gave the diameter of the circle as 2.8, so the radius is half of that.

r = 1.4

The height was given

h = 4.2

Fill in radius and height and 3.14 for pi. Square the radius and then multiply everything.

see image.

Round to two decimal places.

hi i just did the test and the answer is 25.85 cubic feet

and it was correct btw other person deserves brainly have a nice day!

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

50(1+0.15)

Add the numbers

= 50(1.15)

Multiply the  numbers

= 57.5

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

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The probability that the next report will weigh less than 45g is approximately 0.1056 or 10.56%. We can use the standard normal distribution to find the probability that the next report will weigh less than 45g.

z = (x - mu) / sigma

where z is the standard score, x is the value we want to standardize (45g), mu is the mean (60g), and sigma is the standard deviation (12g).

Substituting the given values, we get:

z = (45 - 60) / 12

z = -1.25

Next, we use a standard normal distribution table (or a calculator) to find the cumulative probability of z being less than -1.25. This gives us:

P(z < -1.25) = 0.1056

Therefore, the probability that the next report will weigh less than 45g is approximately 0.1056 or 10.56%.

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Answer:

angle a = 122°

Step-by-step explanation:

since the opposite angles in a parallelogram are equal, therefore,

Angle a = angle c

therefore,

14x -4 = 15x - 13

-4 +13 = 15x - 14x

x = 9

therefore angle a = 14 x 9 - 4 = 122°

The p-value is a measure of the evidence against the null hypothesis (H0)

The correct answer is (a) greater the evidence against H0.

It represents the probability of obtaining a test statistic as extreme as, or more extreme than, the one observed, assuming that the null hypothesis is true.

The smaller the p-value, the less likely it is that the observed result is due to chance alone, and the stronger the evidence against the null hypothesis. This means that if the p-value is very small (e.g., less than 0.05), we have strong evidence to reject the null hypothesis in favor of the alternative hypothesis.

In contrast, a large p-value indicates weak evidence against the null hypothesis, and we may not have enough evidence to reject H0. Therefore, the smaller the p-value, the greater the evidence against H0.

Option (b) is incorrect because the chance of committing a Type I error (rejecting the null hypothesis when it is actually true) is related to the level of significance (alpha) and not the p-value. Option (c) is also incorrect because the chance of committing a Type II error (failing to reject the null hypothesis when it is actually false) is related to the power of the test and not the p-value. Option (d) is incorrect because a smaller p-value actually makes it more likely that one will reject H0, assuming that the level of significance is held constant.

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The total number of each type of bill and coin are

$5 bills x 5,

$1 bills x 10,

quarters x 16,

dimes x 9.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) sign on either side. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Now in the given question,

$5 bills = x, total = 5x

$1 bills = 2x, total = x

Quarters = 3x + 1, total = 0.25(3x + 1)

Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)

Equation below as the sum, solve for x:

5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9

7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9

8.05x  - 0.35 = 39.9

8.05x = 40.25

x = 40.25/8.05

x = 5

Number of each bill and coin:

$5 bills = 5

$1 bills = 2*5 = 10

Quarters = 3*5 + 1 = 16

Dimes = 3*5 - 6 = 9

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If the wax was priced at $1.67 per square foot, it would cost $1,664.99 to wax the entire floor. The right answer is C.

The floor is made up of a trapezoid and a rectangle.

The area of a trapezoid can be calculated as:

A = (b₁ + b₂)/2 x h

Where b₁ and b₂ are the lengths of the bases and h is the height.

The trapezoid is 14 feet tall, and its bases are 33 feet long and (28 - 19) or 9 feet wide. Thus, its area is:

A = (33 + 9)/2 x  14

A = 294 square feet

The rectangle is 37 feet tall with a 19-foot base. Thus, its area is:

A = 19 x 37

A = 703 square feet

The area of the triangle and trapezoid together make up the overall area of the figure.

A = 294 + 703

A = 997 square feet

Finally, to find the cost of the wax, we multiply the area by the cost per square foot:

Cost = 997 * $1.67

Cost  = $1664.99

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A solution (6.5, 17.50) does not make sense in the context of the problem, as the number of movies watched must be a non-negative integer.

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The variables for this problem are given as follows:

You can watch 1, 2, 3, ... and so on movies, a countable amount, hence 6.5 movies watched does not make sense in the context of this problem as decimal numbers are outside the function's domain.

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For the digits -5/4, -2 1/2, and -0.1, the correct inequality is -

Option D: -0.1 > -5/4 > -2 1/2

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The values for the inequality are -

A fractional number = -5/4

A mixed fractional number = -2 1/2

A decimal number -0.1

Convert the fraction number into decimal value using arithmetic operation of division -

-5/4 = -1.25

Convert the mixed fraction number into decimal value using arithmetic operation of multiplication and division -

-2 1/2 = -5/2 = -2.5

Here the greatest value is -0.1.

Then the second greatest value is -1.25 or -5/4.

The lowest value is -2.5 or -2 1/2.

So, the inequality obtained is = -0.1 > -5/4 > -2 1/2

Therefore, the inequality is -0.1 > -5/4 > -2 1/2.

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Using the diagram in the problem angle TQU is solved to be

The angle at U is 90 degrees, Using the concept of adjacent angles the three angles at U is solved

Using the trigonometry relations of right triangle we solve for angle PQT'

tan (angle PQT) = 1 / 3

angle PQT = arc tan (1 / 3)  

angle PQT = 18.43

angle PQT = angle UQS and

angle PQT + angle UQS  + angle TQU = 90 degrees adjacent angles

2 * 18.43 * angle TQU = 90

angle TQU = 90 - 2 * 18.43

angle TQU = 53.14 degrees

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The value of the function expression evaluation; f (x) + g (x) - h (x) as required is; 3x² + 6x + 2.

It follows from the task content that the expression which represents f (x) + g (x) - h (x) be determined.

Since;

F(x) = 3x + 5

G(x) = 4x² - 2

H(x) = x² - 3x + 1

Therefore,

f (x) + g (x) - h (x) = 3x + 5 + 4x² - 2 - (x² -3x + 1)

= 3x² + 6x + 2

Ultimately, the value of f (x) + g (x) - h (x) is; 3x² + 6x + 2.

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Answer:

y = 2ˣ

Step-by-step explanation:

Since, the question asked which function is best represented by the graph and the function given are:

y = 0.5ˣ

y = 2ˣ

y = 3ˣ

y = 2 * 0.25 ˣ

We can graph each of them to see which is the answer.

Base on the graph below we can see that;

the function that represents the graph is  y = 2ˣ

RevyBreeze

a. Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.

b. G(Diego) =5

A relation is a function if it has only One y-value for each x-value.

Given that a  Function G takes a student's first name for its input and gives the number of letters in the first name for its output.

a.

Given that G(Jada) = 4

In the above function Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.

b. We need to find the value of G(Diego)

In the above function Diego is the input and 5 will be output, the output is 5 because there are 5 letters in Diego word.

G(Diego) =5

Hence, a. Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.

b. G(Diego) =5

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To evaluate the multiplication expression 7*38, we simply multiply 7 and 38 together and the result after multiplication is 266.

Multiplication is a basic arithmetic operation that involves combining two or more numbers to obtain a product. In this case, we are given the expression 738, which involves multiplying the number 7 by the number 38 to obtain a product. To do this, we can use the multiplication operation, which involves adding 7 to itself 38 times.

This can be a time-consuming process when dealing with large numbers, but it is a fundamental skill in mathematics and is used in a wide range of applications, including engineering, science, finance, and computing. In this case, we have evaluated the expression 738 to be equal to 266, which is the product of 7 and 38.

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Answer:

ASA

Step-by-step explanation:

There are two pairs of congruent angles, and the pair of congruent sides is included between the angles.

Answer:

156

Step-by-step explanation:

6(2×3+5×4)

6(6+20)

6×26

156

another way

6(2x+5y)

12x+30y

12×3+30×4

36+120

156

Answer:

x + y = -6

Step-by-step explanation:

Just put x and y and add the number on the RHS
Its really not that hard

But i hope it helped

Answer:

to help navigate the answer

Answer: 1.08g

Step-by-step explanation:

Concentration = Moles/ Volume

Moles = Concentration x Volume

Moles = 0.048 x 250/1000

Moles= 0.012

Moles= Mass / Relative Formula Mass

Mass = Moles x Relative Formula Mass

Mass = 0.012 x 90

= 1.08g

1. The area of the marble is 6.6m² and the cost is

$3491.4

2. The area of the marble is 42.84m² and the cost is $22662.36

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

1. The area of the marble is

A=( 3.7 × 1.2 ) + 0.9 × 2.4

A= 4.44 + 2.16

A= 6.6m²

if the cost is 23 dollars /meter

per meter square = 23² = $ 529 / meter square

1 meter square = 529

6.6 meter square = 529 × 6.6 = $3491.4

2. The area of the marble is obtained by cutting it into rectangle and trapezium

A= ½(8.8+4.8) 3.9 + 4.8 × 3.4

A= ½(13.6× 3.9) + 16.32

A= 26.52+ 16.32

A= 42.84 m²

The cost will be 529 × 42.84

= $22662.36

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Answer:

SOLVE IT!

Step-by-step explanation:

A. 45.50+0.11= answer

B. 65.50+0.17= answer

Minus A plus B to get answer!

The height of the tree is approximately 156.7 feet.

What is Trigonometry?

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

The height of the tree can be calculated using trigonometry.

Let's call the height of the tree "h".

Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:

tan(33°) = h / 90

Solving for h, we get:

h = 90 * tan(33°)

Using a calculator to find the value of tan(33°), we get:

h = 90 * 1.730

h ≈ 156.7 feet

So, The height of the tree is approximately 156.7 feet.

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The answer in fractions is 59/100

When a statistic is given as a percentage, we assume that the sample size of the survey is

100

persons.

So, in the aforementioned question, we simply need to express the percentage as a fraction where the

numerator

represents the number of people who are in favor of the argument that their teens are addicted to cell phones which is

59

the denominator of the fraction represents the total number of people in the sample survey size which is

100.

simply using the above logic we can deduce the percentage into a fraction which is

59/100

.

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The company must make 100 X-ray machines to minimize the unit cost.

A differential equation is an equation that contains one or more functions with its derivatives.

To minimize the unit cost, we need to find the value of x that minimizes the function C(x) = 0.9x² - 180x + 20985.

We can start by taking the derivative of C(x) with respect to x and setting it equal to zero:

C'(x) = 1.8x - 180 = 0

Solving for x, we get:

x = 100

Therefore, the company must make 100 X-ray machines to minimize the unit cost.

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The Equivalent Fraction of -117 / 63 is -13/7.

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.

A rule that says the outcome of multiplying the numerator and denominator of a fraction by the same nonzero number is a fraction equal to the original fraction.

Given:

We have the Fraction -117 / 63

As, Equivalent fraction can have different numerators but the denominators should be necessarily same.

Now, simplifying the fraction

= -117/ 63

= - (13 x 9) / (7 x 9)

= -13 / 7

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The statement is false.

O(nlogn), commonly known as loglinear complexity, denotes that n times will be required to perform logn operations.

The term "1 half n (n space plus log space n )space" is equivalent to O(n log n) which is a class of functions that grow asymptotically no faster than n log n.

On the other hand, the term "omicron (n squared)" is equivalent to o(n^2), which is a class of functions that grow asymptotically slower than n^2.

As a result, it is untrue to say that there is a single half-n (n space plus log n)space element in the omicron (n squared) space.

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The simplified form of the numerical expression  (9² - 4 - 4) - (- 2³ - + 12) is 93.

Numerical expression is a combination of the words numerical, which refers to numbers, and expression, which denotes a statement. Consequently, it is a statement that uses numbers.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

By mixing numbers with different mathematical operators, we can create a numerical expression. There is no restriction on how many operators can be used in a numerical expression. Between two numbers, some mathematical expressions utilize just one operator, whereas others may use multiple operators.

Given, An expression (9² - 4 - 4) - (- 2³ - + 12).

= (9×9 - 8) - (- 2×2×2 - 12).

= (81 - 8) - (- 8 - 12).

= (73) - (- 20).

= 73 + 20.

= 93.

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For the given matrix A, a 3x2 matrix B such that AB=I, where I is the 2x2 matrix B =  [tex]\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-2&1\\1&-1\\1&1\end{array}\right][/tex] when AB=I

Given matrix A = [tex]\left[\begin{array}{ccc}1&2&1\\1&1&1\\\end{array}\right][/tex]₂ₓ₃

B = [tex]\left[\begin{array}{ccc}1&2&1\\1&1&1\\\end{array}\right][/tex]₃ₓ₂

In such a way we know that, that AB = I ₂ₓ₂

therefore = [tex]\left[\begin{array}{ccc}1&2&1\\1&1&1\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

we can say that [tex]\left[\begin{array}{ccc}a+2c+e&b+2d+f\\a+c+e&b+d+f\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

then, a+2c+e=1

then, when elaborated we get, a+2(-a-e)+e=1

a-2a-2e+e=1

-a-e=1

a+e = -1

2c-c = 1, c = 1 hence we get the value for c

similarly we can do the same steps for the other values

b+2d+f=0

1-d+2d=0

1+d = 0

d = -1

we get the value of d as well now for the value of a and e we can proceed as shown below:

a+c+e=0

c= -a-e

a+e= -c

a+e= -1

a= -2, e=1

similarly we can proceed as shownfor the values of b and f

b+d+f=1

b+f=1-d

b+f=2

b=1, f=1

when we put these values in the correct order and place we get the value for matrix b such as shown below,

therefore, matrix B =  [tex]\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-2&1\\1&-1\\1&1\end{array}\right][/tex]

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There are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers. Hence, the accurate answer is option (b) 28.

To determine the number of ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers, we will use the formula for combinations, which is given by -

nCk = n! / (k!(n-k)!)

where n is the total number of items, k is the number of items to be selected, and ! denotes the factorial function (the product of all positive integers up to a given number).

Here, we are given n = 8 fish and k = 2 fish.

Thus, the number of ways to select and place 2 fish from 8 fish will be -

8C2 = 8! / (2!(8-2)!) = (8 x 7) / (2 x 1) = 28

Therefore, there are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers.

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The approximate solutions to the equation is (0.655, -2.618)

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

-2x

|-3 + 1| =

-2√x - 1

Express the equation properly

So, we have the following representation

-2x|-3 + 1| = -2√x - 1

This gives

-4x = -2√x - 1

Next, we split the equation

y = -4x

y = -2√x - 1

To solve graphically, we plot the equation and write out the point of intersection

Hence, the solution is (0.655, -2.618)

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