what is 2/3 x 9/8 as a fraction in simplest form

Answer:

180°

Step-by-step explanation:

The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.

If you rotate it once by 90°, it will look completely different.

However, if you rotate it again by 90°, it looks identical to the original.

90° + 90° = 180°

1. Fοr The 3 scale factοr  the vοlume οf the dilated cube be 27 cubic units

2. The scale factοr is 10

3. A scale factοr οf arοund 10.1 is needed.

4. A scale factοr οf arοund 1.9 is needed.

Scale factοr = Dimensiοn οf the new shape Dimensiοn οf the οriginal shape is the basic fοrmula used tο calculate the scale factοr.

1. Let x be the scale factοr. The dilated cube's vοlume will be (1x)³ = x³.

We must determine the value οf x such that x³ = 27.

When we sοlve fοr x, we get:

\(x^3 = 27 \sx = 3\)

As a result, the scale factοr is 3.

2. We can find the scale factοr fοr a vοlume οf 1,000 cubic units using the same methοd as in Part 1: x³ = 1000 x = 10

As a result, the scale factοr is 10.

3. We can use x³ values clοse tο 1,001 tο estimate the scale factοr fοr a vοlume οf 1,001 cubic units.

As we can see, 103 = 1000, sο a slightly larger scale factοr is required.

We cοuld try 10.1:

(1 x 10.1)³ = 1030.301

Because this is slightly greater than 1,001, a scale factοr οf arοund 10.1 is required.

4. Similarly, tο calculate the scale factοr fοr a vοlume οf 7 cubic units, we can lοοk at x³ values clοse tο 7.

We can see that 23 = 8, implying that a slightly smaller scale factοr is required.

We cοuld try 1.9:

(1 x 1.9)³ = 6.859

This is slightly less than 7, implying a scale factοr οf arοund 1.9.

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Answer:

The answer is "10,000".

Step-by-step explanation:

In the 10^4 can be written as  10 exponents 4, which is not equal to 40,000. Tia's opinion was incorrect because the exponential shows how much they multiply that base number.  

Let's explain :

\(\to 10^4 = 10 \times 10 \times 10 \times 10 \\\)

          \(=10,000\)

The equation of the function in the vertex form will be equal to y = -(x + 5)² + 4.

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square. A "polynomial function of degree 2" is another way to describe a quadratic function.

As per the information given in the question,

The given roots of the function are -3 and -7,

y = a (x + 3) (x + 7)

Spread out the pieces to finish the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4),

So, a = -1.

y = -(x + 5)² + 4

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complete question:

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex form?

As 1 inch = 2.54 cm.

As Annalisa is 64 inches tall,

so the height of Annalisa in centimeter = 64 x 2.54 cm = 162.5 cm (approximately).

Stefen is about 7.5 centimeters taller than Annalisa,

So, height of Stefen in centimeter= 162.5+7.5=170 cm.

and the height of Stefen in inches = 170/ 2.54 cm= 67 inches (approximately).

Keiko is about 1.5 inches shorter than Stefen,

So, the height of Keiko in inches= 67-1.5=65.5 inches.

and the height of Keiko in centimeter = 71.5 x 2.54 cm= 166.5 cm (approximately).

Hence, Annalisa is 64 inches or about 162.5 cm tall.

Stefan is about 67 inches or about 170 cm tall.

Keiko is about 65.5 inches or about 166.5 cm tall.

Answer:

2,300 days are without activities

Step-by-step explanation:

We start by calculating the number of days in 7 years

Mathematically, that would be 7 * 2,555

From the question, 90% of days are without activities

The number of days without activities will be;

90/100 * 2,555 = 2,299.5 which is approximately 2,300 days

Gabrielle is the correct one.

The largest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for the greatest common factor. Here, greatest might be changed to highest, and factor to divisor. Therefore, the greatest common factor is often referred to as the highest common divisor )(HCD), highest common factor (HCF), or greatest common divisor (GCD.

Fractions, which are frequently employed in daily life, are almost always utilized with GCF. Finding the GCF of the denominator and numerator will allow you to obtain the necessary reduced form for simplifying a fraction or ratio. The greatest number that can divide two numbers x and y is their GCF.

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Answer:

d=5.4

Step-by-step explanation:

Use the distance formula: \(\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1})^2\)

(x1,y1)= (1,1)

(x2,y2)=(6,3)

\(\sqrt{(6-1)^2+(3-1)^2}=\sqrt{25+4}=\sqrt{29}=5.4\)

On solving the provided question, we can say that -  equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is \(2x -y -1 = 0\)

A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).

The provided equation is -

y = 2x - 5

since these are parallel to each other,

slope, m= 2

now the equation is -

\((y-y1) = m(x-x1)\\(y - 7) = 2(x - 4)\\y - 7 = 2x - 8\\2x -y -1 = 0\\\)

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Answer:

D

Step-by-step explanation:

It's D because 60 +70 +(180-130)=180

= 60+70+50=180

The factors of the quadratic equation x² + 21x + 38 = 0 are (x + 2) and (x + 19), and the solutions are x = -2 and x = -19.

The process of factoring the quadratic equation x² + 21x + 38 = 0

Identify the coefficients of the quadratic equation.

The quadratic equation is in the form ax² + bx + c = 0. In this case, a = 1, b = 21, and c = 38.

Determine the factors of the constant term (c).

The constant term is 38. We need to find two numbers that multiply to 38. The possible pairs of factors of 38 are (1, 38) and (2, 19).

Find the pair of factors that sum up to the coefficient of the linear term (b).

The coefficient of the linear term is 21. We need to find the pair of factors from step 2 that add up to 21. The pair of factors (2, 19) satisfies this condition.

Write the quadratic equation in factored form.

Using the pair of factors (2, 19), we can write the quadratic equation in factored form as:

(x + 2)(x + 19) = 0

Solve for x by setting each factor equal to zero.

To find the solutions, we set each factor equal to zero and solve for x:

x + 2 = 0 => x = -2

x + 19 = 0 => x = -19

Therefore, the factors of the quadratic equation x² + 21x + 38 = 0 are (x + 2) and (x + 19), and the solutions are x = -2 and x = -19.

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Answer:

negative times A negative is a positive so your answer is 27

Step-by-step explanation:

\(\frac{1}{2x}-\frac{1}{3x}\) = \(\frac{1}{6x}\) , x≠0 by simplifying the given expression.

What do you mean by the algebaric expressions?

An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

How do you simplify the algrebraic expression?

To simplify a formula means to rewrite the same algebraic statement compactly without analogies. To simplify an expression, we need to combine all equal terms and remove any parentheses until we are left with inequality terms that cannot be further reduced by the simplified expression.

To simplify algebraic expressions:

1. Add or subtract similar terms to undo the brackets.

2. If the term is outside the brackets, the terms inside the brackets can be multiplied. If the equation contains exponents, use the exponent rule to solve it.

3. Performs mathematical operations between same terms.

4. Finally, rewrite the algebraic expression in descending order (that is, from highest to lowest).

Given expression,

\(\frac{1}{2x}-\frac{1}{3x}\)        x≠ 0

⇒ \(\frac{3-2}{6x}\)

⇒ \(\frac{1}{6x}\)

Therefore, \(\frac{1}{2x}-\frac{1}{3x}\) =  \(\frac{1}{6x}\)     x≠0

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Answer:

Step-by-step explanation:

a. -120 - 400

b. -(120+400)

c. -120 - 400 = -(120+400) = -520

Answer:

the last option

Step-by-step explanation:

slope: 4/1

y-intercept: 12

hopefully this helps :)

The letter A represents where the amount of $158.29 should be written.

The letter D represents where the amount of $250 should be written.

This refers to the automated machine that is used to handle cash transactions and also for making calculations.

Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.

However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.

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Answer:

A and D

Edge 2022

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

\(Angles\) \(that\) \(form\) \(a\) \(linear\) \(pair\) \(add\) \(up\) \(to\) \(180 degrees\).

If the measure of angle 1 is 113, then all we must do is subtract:

180-113=67 \(degrees\)

And we're done!

Good luck! :)

Hope it helps you!

\(GraceRosalia\) ✺                    ✺                      ✺          ✺              ✺             ✺          ✺

Answer:

40 people

Step-by-step explanation:

First thing, you have to find the area below the 40 - 55 line in the histogram. The area can be find using the area of a rectangle: side × side

Doing this you'll find an area of 60.

After that, find the total area of the histogram in the same way: separate it in rectangles and use the formula for the area of a rectangle, and after you'll find a total area of 100

Now you have to do a rule of three:

We know from the question statement that the amount of people with 40 - 55 years old is 25, and that area correspond to 60, so:

60 ------- 24

100 ------- x

60•x = 24•100

60x = 2400

x = 2400/60

x = 40

In Real Analysis, if Let f:1-3, 5] + R be given by f(x) = 4 - 22 and P= {-3, 0, 2, 4,5} then U(P, f) = L(P, f) = -19.

To find U(P, f) and L(P, f) for the given function f and partition P, we need to determine the upper and lower sums of f with respect to the partition P.

Upper Sum (U(P, f)):

The upper sum is calculated by taking the supremum (maximum) value of f over each subinterval in the partition and multiplying it by the width of the subinterval, and then summing up these values. In this case, the partition P = {-3, 0, 2, 4, 5}, and the function f(x) = 4 - x^2.

Lower Sum (L(P, f)):

The lower sum is calculated by taking the infimum (minimum) value of f over each subinterval in the partition and multiplying it by the width of the subinterval, and then summing up these values.

To calculate U(P, f) and L(P, f), we need to evaluate f at the endpoints of each subinterval and calculate the sum of the products of the differences in the endpoints and the function values.

Given the function f(x) = 4 - x^2 and the partition P = {-3, 0, 2, 4, 5}, we evaluate f at the endpoints of each subinterval:

For the subinterval [-3, 0]: f(-3) = 4 - (-3)^2 = -5, f(0) = 4 - 0^2 = 4

For the subinterval [0, 2]: f(0) = 4 - 0^2 = 4, f(2) = 4 - 2^2 = 0

For the subinterval [2, 4]: f(2) = 4 - 2^2 = 0, f(4) = 4 - 4^2 = -12

For the subinterval [4, 5]: f(4) = 4 - 4^2 = -12, f(5) = 4 - 5^2 = -21

Next, we calculate the differences in the endpoints of each subinterval and multiply them by the corresponding function values:

For [-3, 0]: Difference = 0 - (-3) = 3, Product = 3 * (-5) = -15

For [0, 2]: Difference = 2 - 0 = 2, Product = 2 * 4 = 8

For [2, 4]: Difference = 4 - 2 = 2, Product = 2 * 0 = 0

For [4, 5]: Difference = 5 - 4 = 1, Product = 1 * (-12) = -12

Finally, we sum up these products to find U(P, f) and L(P, f):

U(P, f) = -15 + 8 + 0 + (-12) = -19

L(P, f) = -15 + 8 + 0 + (-12) = -19

Therefore, U(P, f) = L(P, f) = -19.

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Answer:

the picture is not coming clearly !!!

Answer:

767

Step-by-step explanation:

Answer:

767

Step-by-step explanation:

When using the power of 2 you are multiplying the number by itself. Like 10x10 which is 100. Then multiply 7.67 by 100 to get 767

Hope that helps and have a great day!

Answer:

4 times 5 equals 20 so that's your answer

Step-by-step explanation:

:)Hope this helps!!

Answer:

20 baseballs

Step-by-step explanation:

Luis has 4balls and Jonah has 5times(as many baseballs card as Luis)

5(4)=20

hence,Jonah has 20cards

Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx

The number 24 divides 120 gives the Quotient 5.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Quotient = 5

Dividend = 120

Divisor = x

So, Dividend = Divisor . Quotient

120 = x(5)

5x = 120

x= 120/5

x= 24.

Thus, the required number is 24.

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Answer:

\(x^2 = 2y\) --- equation

\((x,y) = (0,\frac{1}{2})\) --- focus

\(y = -\frac{1}{2}\) --- directrix

\(Width = 2\) ---- focal width

Step-by-step explanation:

Given

\(depth = 2\)

\(diameter = 4\)

Required

The equation of parabola

The depth represents the y-axis. So:

\(y = 2\)

The diameter represents how the parabola is evenly distributed across the x-axis.

We have:

\(diameter = 4\)

-2 to 2 is 4 units.

So:

\(x = [-2,2]\)

So, the coordinates of the parabola is:

\((-2,2)\ and\ (2,2)\)

The equation of the parabola is calculated using:

\(x^2 = 4py\)

Substitute (-2,2) for (x,y)

\((-2)^2 = 4p*2\)

\(4 = 8p\)

Divide by 8

\(p = \frac{4}{8}\)

\(p = \frac{1}{2}\)

So, the equation is:

\(x^2 = 4py\)

\(x^2 = 4 * \frac{1}{2} * y\)

\(x^2 = 2y\)

The defining features

(a) Focus

The focus is located at:

\((x,y) = (0,p)\)

\((x,y) = (0,\frac{1}{2})\)

(b) Directrix (y)

\(y = -p\)

\(y = -\frac{1}{2}\)

(c) Focal width

\(Width = 4p\)

\(Width = 4*\frac{1}{2}\)

\(Width = 2\)

For the significance test given, the error will be a type one error.

The results of tests for statistical significance show whether apparent variations in assessment results are the product of random variation or sampling mistake. The given parts can be answered as -

a) The analysis of the given question was conducted with a likelihood of .05 for a type one error. This is because the level of significance for it is .05 as well. Therefore, such a situation implies that regardless of whether the null hypothesis is correct and accurate there is still a five percent chance that it will be incorrect or will be rejected.

b) The probability that a representative sample will be equally extreme or more intense than the one that was correctly predicted is known as the p-value when the null hypothesis is true. In this case, the p-value is only .03 and drops below the .05 criterion of significance. This reveals that the generic parameter-supported null thesis is categorically rejected. This study would thus, further result in the rejection of the null hypothesis.

c) A decision error from the test could be either a Type I error or a Type II error. While a Type II error happens when the null hypothesis is true but not rejected, a Type I error happens when the opposite is true. Since the null hypothesis was true but was rejected by chance in this situation, any judgement error that the test produced would be of the Type I variety.

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Answer:

The first one is 12.0, the second one is 12.9, and the third one is greater than or equal to I believe

Step-by-step explanation:

1. because it wants the average but the average is 12.9 so we use the median which is 12.0

2. because it is basically making it into a fraction so 12.9 is the total average

3. 2.4 is greater than or it can be equal to 1.5

Ms. Applebee's apple is because they lacked the necessary human capital to understand the play on words.

To begin with, let's define what we mean by capital. In economics, capital refers to any resource that can be used to produce goods or services. This can include physical capital, such as machinery and equipment, as well as financial capital, such as money and investments.

However, there is another type of capital that is just as important: human capital. Human capital refers to the skills, knowledge, and abilities that individuals possess, which can be used to create economic value. This can include things like education, training, and experience.

This is where the concept of human capital comes in. In order to "see" Ms. Applebee's apple (or capital), you need to have the skills and knowledge to understand the play on words. This requires a certain level of human capital - specifically, linguistic and cultural capital.

Linguistic capital refers to the ability to use language effectively, including understanding and interpreting language in different contexts. Cultural capital, on the other hand, refers to the knowledge and skills needed to navigate different cultural contexts and understand cultural references.

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