Describe the transformation that moved Figure A to Figure B?
A) Reflect over the x-axis
B) Reflect over the y-axis
C) Rotate 90 degrees clockwise about the origin
D) Rotate 180 degrees about the origin

The correct one is Eden, the exponents should be added.

The mistakes are that Erin multiplies the exponents and Emma multiplies the bases.

Remember that when we have the product of two powers with the same base, we just need to add the exponents, so:

\(x^n*x^m = x^{n + m}\)

With that in mind, we can see that the one who did the operation correctly is Eden, because:

\(6^2*6^5 = 6^{2 + 5} = 6^7\)

The mistake for Erin is that she multiplied the exponents, while the problem for Emma is that she also multiplied the bases.

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The value of the addition operation is 2.38157 x 10^19

The numbers are given as:

2.35 x 10^19 and 3.157 x 10^17.

Express as sum

2.35 x 10^19 + 3.157 x 10^17.

Express 10^17 as 10^19 * 10^-2

So, we have:

2.35 x 10^19 + 3.157 x 10^19 * 10^-2

Factor out 10^19

(2.35 + 3.157  * 10^-2) x 10^19

Express 10^-2 as 0.01

(2.35 + 3.157  * 0.01) x 10^19

This gives

(2.35 + 0.03157) x 10^19

Evaluate the sum

2.38157 x 10^19

Hence, the value of the addition operation is 2.38157 x 10^19

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Answer:

2.38157 x10^19

Step-by-step explanation:

The factors of the given expression \(144-49x^{2}\) will be  \((7x+12)(7x-12)\)

It is given that

\(144-49x^{2}\)

Now by simplifying it

\((12)^{2} -(7x)^{2}\)

Now from the formula, we know

\(a^{2} -b^{2} = (a+b)(a-b)\)

So it will become

\((12)^{2} -(7x)^{2}= (12-7x)(12+7x)\)

Thus the factors of the given expression \(144-49x^{2}\) will be (7x+12)(7x-12)

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Answer:

y = -11

Step-by-step explanation:

23 + 18y = -21 + 14y

Combine like terms

18y - 14y = -21 -23

Do the math

4y = -44

Divide both sides by 4

y = -11

Answer:

formula

\(m = \frac{y2 - y1}{x2 - x1} \)

Step-by-step explanation:

choose two point of A, let k(-2, -3) and l(1, 3)

\( m = \frac{ - 3 - 3}{ - 2 - 1} = \frac{ - 6}{ - 3} = \frac{1}{2} \)

choose two point of B, let c(0, 5) and d(5, 0)

\(m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1\)

Hence the gradient of A is

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

and B is -1

The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

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Answer:

linear

tetrahedral

bent

trigonal-bipyramidal

Step-by-step explanation:

Molecular geometry, also known as the molecular structure, is the three-dimensional structure or arrangement of atoms in a molecule.

a) A molecule with two atoms and no lone pairs around the central atom has a shape -Linear.

b) A molecule with four atoms and no lone pairs around the central atom has a shape- Tetrahedral

c) A molecule that has two atoms and two lone pairs around the central atom has a shape - Bent.

d) A molecule that has five atoms and no lone pairs around the central atom has a shape- Trigonal-bipyramidal.

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Answer:

the answer would be A.

Step-by-step explanation:

because it done not matter how many times the spinner has landed on a certain letter it is still always gonna be a 1/4th chance to land on any letter

Answer:

67%

Step-by-step explanation:

If you take the 365 days in a year and divide that by the 246 sunny days, you should get the number 0.67397260274, rounded to 67%.e

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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Answer:

60Πcm^2 or 188.5cm^2 to the nearest tenth

Step-by-step explanation

A cylinder is basically 2 circles and a rectangle (when trying to find out surface area). The area of the circles is 5 squared(25) times Π. This means that 1 circle is 25Π so 2 circles is 50Π.

Now we need to find the rectangle. We know that one length is 5 and so now to find the other one we find the circumference of the circle

Formula for circumference is Πd or 2Πr.

Here I will use 2Πr which is 10Π. This means that the total surface area is

50Π+10Π=60Π or 188.4955592cm^2 or 188.5cm^2 to the nearest tenth.

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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Based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

It is used to predict and estimate the likelihood of future events and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of rolling next is a 4:

The total number of times the die was rolled is:

⇒ 8 + 4 + 3 + 9 + 2 + 4 = 30

The number of times the die landed on 4 is 9.

Then, the probability of rolling next a 4 is:

⇒ 9/30 = 3/10

⇒ 9/30 = 0.3

Therefore, based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

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For incompressible flow in a horizontal pipe of constant diameter and without fittings or valves, the pressure is a linear function of pipe length.

Linear function:A linear function can be defined as a function that shows a constant rate of change between input values (x) and output values (y). When we plot the graph of a linear function, it shows a straight line. The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Pressure:Pressure is defined as the force exerted per unit area. Pressure is a scalar quantity. It can be measured in units such as pascals, bars, pounds per square inch, etc.

Now let's consider the given statement for incompressible flow in a horizontal pipe of constant diameter and without fittings or valves to prove that pressure is a linear function of pipe length.

In a horizontal pipe of constant diameter, the following assumptions are made:No valves and fittings are presentFluid is incompressibleFriction is negligibleThe fluid flow is steady-state and laminarAt two points P1 and P2 along the horizontal pipe, let us assume that the fluid pressure and velocity are P1, V1 and P2, V2, respectively.

The pressure drop between the two points is given byΔP = P1 - P2The flow rate of the fluid through the pipe is given by the equation,Q = (A1V1) = (A2V2)

where, A is the cross-sectional area of the pipe.

Substituting V1 = Q/A1 and V2 = Q/A2 in ΔP = P1 - P2, we getΔP = P1 - P2 = 32μQL / πd4,

where μ is the viscosity of the fluid, L is the length of the pipe, d is the diameter of the pipe.

The above equation is called the Hagen-Poiseuille equation. It shows that pressure drop (ΔP) is proportional to the length of the pipe (L) when the other parameters such as flow rate (Q), viscosity (μ), and diameter (d) of the pipe are constant.

Thus, it can be concluded that the pressure is a linear function of pipe length.

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Considering the definition of an algebraic expression, The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

An algebraic expression is a combination of numbers and letters related to each other by mathematical operations. Usually, the letters represent unknown quantities and are called variables or unknowns.

In this case, you know:

(a) The sum of four times the opposite of a number and - 5

(b) The product of 5 and the sum of 3 times a number and 4​

The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

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To find the absolute maximum and minimum of the function f(x) = (x - 2)(x - 6) + 3 on the given intervals, we need to evaluate the function at the critical points and endpoints of the interval.

For interval (0, 5):

- Evaluate f(x) at the critical point(s) and endpoints within the interval.

- Critical point(s): Find the value(s) of x where f'(x) = 0 or f'(x) is undefined.

- Endpoints: Evaluate f(x) at the endpoints of the interval.

1. Find the critical point(s):

f'(x) = 2x - 8

Setting f'(x) = 0:

2x - 8 = 0

2x = 8

x = 4

2. Evaluate f(x) at the critical point and endpoints:

f(0) = (0 - 2)(0 - 6) + 3 = 27

f(5) = (5 - 2)(5 - 6) + 3 = 2

f(4) = (4 - 2)(4 - 6) + 3 = 7

The absolute maximum on the interval (0, 5) is f(0) = 27.

Therefore, the correct choice is:

A. The absolute maximum is at x = 0.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

By substituting the point and slope we know, we can solve for b (the y-intercept.) This will allow us to write the full equation, as we already know the slope.

Solving for B

Set up equation                                                                   y = mx + b

Substitute                                                                             5 = -5(-4) + b

Simplify                                                                                 5 = 20 + b

                                                                                            -20 -20  

Solve                                                                                    -15 = b

Writing the Equation

Set up equation                                                                   y = mx + b

Substitute                                                                             y = -5x - 15

Solve                                                                                    y = -5x - 15

Check:

We can check if our equation is right by graphing it. In this graph, you can see it has a slope of -5 and goes through the point (-4,5). Therefore, our answer is correct:

Answer:

Option 2 which is r^6

Step-by-step explanation:

You need to apply the exponent rules.

Since the r's are the same, you can subtract the exponents.

r^9 - r^3 = r^6

Notice that the bases ("r") stayed the same.

Answer: Choice [B] -r^6 ✅

Step-by-step explanation:

Hii!

Do you need to know the answer to your question? No problem!

We can use the Exponents' Property of division to work out the answer to this particular problem. (:

This property says that if you divide two numbers with the same base, you subtract their exponents.

Do we have the same base here? Yea', sure! The same variable can't stand for two different numbers in the same expression.

Let's work out the answer!

\(\LARGE\boldsymbol{r^9/r^3=r^{9-3}=r^6}\)

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

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Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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Answer:

Step-by-step explanation:

The variable here is u, and the highest power of u is u^8.  The first term is thus -u^8, and the coefficient of this is -1.  Thus, the leading coefficient of the polynomial is -1.  The degree is 8.

Answer:

3

Step-by-step explanation:

\(18*\frac{1}{6} \\\\3\)

Answer:

=3x

Step-by-step explanation:

18x^1 / 6

=3x

The page number for byte address 121357 with a page size of 1 KB is 118.

To determine the page number for byte address 121357 with a 1-kilobyte (1024 bytes) page size, we need to perform some calculations.

First, we divide the byte address by the page size:

121357 / 1024 = 118.4443 (approx.)

The result tells us that the byte address 121357 falls within the 118th and 119th pages.

However, since the page number should be expressed as a decimal, we need to determine the exact page number within this range. For that, we examine the decimal part of the division result.

The decimal part, 0.4443, indicates the offset within the page. To obtain the exact page number, we need to consider whether the offset falls closer to the current page or the next page.

If the offset is less than 0.5 (0.4443 < 0.5), we assign the page number as the whole number part of the division result, which is 118.

Thus, the page number for byte address 121357 is 118.

In summary, we divided the byte address by the page size to determine the range of possible pages. Then, by examining the decimal part of the division result, we identified that the offset is closer to the current page.

As a result, we assigned the page number as the whole number part of the division result, which is 118.

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The sun would more frequently be reaching the ground at a high angle at latitude 0° (the equator). Option A is correct.

What is latitude?

Latitude is the angle north or south of the equator and extends horizontally over the globe. Longitude, on the other hand, runs from east to east and runs vertically across the globe.

On any given day, only points on Earth's surface that are located along a single line of latitude can experience sunlight at a 90-degree angle. Lower levels of sunshine are present everywhere else. The sun's beams are typically strongest at the equator and weakest at the poles.

Option A is correct,0° (the equator).

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The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order so area of octagon is 11 + 12√2 square units.

The sides of octagon are 1, 2, 3, 4, 1, 2, 3, 4 as shown in the figure,

The area of the octagon = area of the rectangle - the area of the four right isosceles triangular corners.

A = (lxb) - 1/2[√2×√2 + √8×√8]x2

A = [(3+√2+√8)(1+√2+√8)] -1/2[√2×√2 + √8×√8 + √2×√2 + √8×√8]

A = 3 + 12√2 +7

A = 11 + 12√2

Therefore, The area of the octagon is 11 + 12√2 square units.

A closed two-dimensional shape having eight sides, eight vertices, and eight internal angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon. The next sections also discuss the various octagon types, such as convex and concave octagons.

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Answer:

x=6

a=9

Step-by-step explanation:

Because 21 is 1.5 times 14, and 15 is 1.5 times 10, a has to be 1.5 times x.  Also, x must be more than 4 in order for it to make a triangle.  To make it simple, I'd use either 6 or 8.  Just for ease, I'll use 6.

x=6

a=6*1.5=9