Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

Answer:

Exact form

h=27/5

Decimal

h=5.4

Mixed

h=5 2/5

Answer:

27/5

Step-by-step explanation:

Answer:

$206

Step-by-step explanation:

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = $200

Time = the duration of the deposit = 1 year

interest rate = the percentage on deposit that would be earned = 3%

200 x 0.03 x 1 = $6

The amount that would be in the account = $200 + $6 = $206

Answer:

I think x equals 7.5

Step-by-step explanation:

Please let me know if this was correct or what you were looking for. Thanks!

Using percent method we can solve the problem. Kal's acting class is 40 minutes long in total.

In which he practices lines about 28 minutes.

let "x minutes" be the total timing of kal's acting class .

Percent is always running between 0 to 100 where 0 % means nothing and 100% total about which we are considering the percent.

so, here x mintues is equal 100% timing

we have given that, kal practice lines for 28 minutes at his acting class and in percent form his timing is equal to 70% .

That's 70% time of entire acting class = 28 min

but we have to find the 100% of entire acting class i.e x minutes

Now, 70% time of entire class = 28 minutes

1% time of entire acting class = 28/70 minutes

100% time of entire acting class i.e x = ( 28/70)100

= 40 minutes .

So, the entire kal's acting class runs for 40 minutes .

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The total monthly payment would be $17.36.

Option (d) is correct.

What is the annuity payment?

An annuity payment is a fixed, regular payment made to an individual or organization over a specific period of time. It is typically used in the context of financial transactions, such as loans, investments, and insurance.

To calculate the monthly payment Bianca will have to make to avoid interest capitalization, we can use the formula for the annuity payment:

PMT = (Loan Amount * Interest Rate / (1 - (1 + Interest Rate)^(-n))) / (Interest Rate / 12)

Where:

PMT is the monthly payment

Loan Amount is the amount of the loan, in this case, $2,600

Interest Rate is the annual interest rate, in this case, 6.2%

n is the total number of payments, in this case, 5 years * 12 months/year = 60 months

Plugging in the values, we get:

PMT = (2600 * 0.062 / (1 - (1 + 0.062)^(-60))) / (0.062 / 12)

PMT = $17.36

Hence, the total monthly payment would be $17.36

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Answer: C

Step-by-step explanation:Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6.2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization?

a.

$12.40

b.

$19.29

c.

$13.43

d.

$17.36

Please select the best answer from the choices provided

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Rolle's Theorem cannot be applied to the function f(x) = (x)-(x-4)(x-3)(x-8) on the closed interval [4, 8) because f(x) is not continuous on that interval.

According to Rolle's Theorem, for a function f(x) to satisfy the conditions necessary for its application, it must be continuous on the closed interval [a, b] and differentiable on the open interval (a, b). In this case, the function f(x) = (x)-(x-4)(x-3)(x-8) is not continuous on the closed interval [4, 8).

To be continuous on an interval, a function should not have any discontinuities, such as holes or jumps, within that interval. In the given function, there is a discontinuity at x = 4 due to the term (x-4) in the denominator.

Since the function has a point of discontinuity within the interval [4, 8), it fails to satisfy the continuity condition required for the application of Rolle's Theorem.

Therefore, Rolle's Theorem cannot be applied to the given function on the closed interval [4, 8).

Consequently, we cannot find any value of c in the open interval (4, 8) such that f'(c) = 0, as Rolle's Theorem is not applicable.

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In a net of a solid, the number of faces meeting at each vertex can be determined by examining the net and counting the number of lines that meet at each vertex. Each line corresponds to an edge of a face, so the number of lines meeting at a vertex is equal to the number of faces meeting at that vertex.

For example, if we consider a cube net, we can see that three faces meet at each vertex. Therefore, a cube has three faces meeting at each vertex.

Similarly, for other solids, we can count the number of faces meeting at each vertex by examining the net. For example, for a regular tetrahedron, four faces meet at each vertex; for a regular octahedron, four faces meet at each vertex; for a regular dodecahedron, three faces meet at each vertex; and for a regular icosahedron, five faces meet at each vertex.

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The transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have quadrilateral showing in the picture.

Transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane.

(x, y) → (-x, y)

After the transforming the coordinate according to the transformation rule, we will get the image of the given figure

Thus, the transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

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A. 500(1/2) n-1

What is Geometric Progression?

Geometric Progression is a progression where the successive terms bear a constant ratio known as a common ratio.

The GP is generally represented in form a, ar, ar^2.... where 'a' is the first term and 'r' is the common ratio of the progression.

The nth term of GP = ar^n-1

where a = 500

r = 1/2

n is not given

To represent this

therefore,

GP = 500(1/2)^n-1

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Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

Answer:

12 hours :)

Step-by-step explanation:

We can use the general form of a quadratic model:

We can find the parameters a, b and c by taking some pair of values from the table, like this:

Let's take the pair (0,0), if we replace these values for y and x into the above model we get:

Now let's take the pair (1, 2.4), by replacing these values into the above model for x and y, we get:

From this equation, we can solve for a to get:

By taking the pair (2, 9.4) we get:

We can replace the expression that we got previously a = 2.4 - b into the above equation to get:

From this expression, we can solve for b like this:

Now we can replace it into the equation a = 2.4 - b, then we get:

a = 2.4 - 0.1 = 2.3

Then we get the expression:

Now we just have to evaluate 10 km into the equation, then we get:

Then, the best prediction of the time required for the oil spill to reach a diameter of 10 km is 233 days

2x^2 - 12x - 32

= 2 (x^2 - 6x - 16)
= 2 (x^2 + 2x - 8x - 16)
= 2 [x(x+2) - 8(x+2)]
= 2 (x+2)(x-8)

you don't necessarily have to randomly search for this, remember that in a quadratic equation ax^2 + bx + c and you need to factor a polynomial, find 2 numbers that add up to b and have the product of a x c.

Answer: If a person has a better credit, they have better chances of getting the job they had applied for. Getting the job means they get a stable income. Having a stable income helps a person to buy all essential needs.

Step-by-step explanation:

Answer:

60 as corresponding and alternate angles r equal

Step-by-step explanation:

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

Now,

We are given the linear equation: \(4x + \frac{1}{2}(10x-4)=6\)

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

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Answer:

12x5-3a sishanaauanshsushss

Step-by-step explanation:

zhsuzjskakakagshs

Answer:

x=15

Step-by-step explanation:

The equation 3x² + 5x + 2 = 0 has two solutions, x = -2 and x = -1/3. This means that when the equation is set equal to zero and then solved, the two values of x that will make the equation true are -2 and -1/3.

To solve 3x² + 5x + 2 = 0, we must first find the roots of the equation. To do this, we can use the quadratic formula to solve for the two roots. The quadratic formula is x = [-b ± √(b² - 4ac)]/2a, where a, b, and c are the coefficients of the equation. To apply this to our equation, we have a = 3, b = 5, and c = 2, so the formula becomes x = [-5 ± √(5² - 4(3)(2))]/2(3). Simplifying this equation gives us x = [-5 ± √29]/6. The two solutions of this equation are x = -2 and x = -1/3. This means that when the equation is set equal to zero and then solved, the two values of x that will make the equation true are -2 and -1/3.

x = [-5 ± √29]/6

x = [-5 + √29]/6 = -2

x = [-5 - √29]/6 = -1/3

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Answer:

3 moles NaCl to grams = 175.32831 grams 4 moles NaCl to grams = 233.77108 grams 5 moles NaCl to grams = 292.21385 grams 6 moles NaCl to grams = 350.65662 grams

\

Step-by-step explanation:

The deviation of a measurement from the true value, while uncertainty quantifies the reliability of the measurement.

Systematic uncertainty can be estimated for a measured value by identifying and evaluating factors that may cause a consistent deviation in the measurements. These factors may include instrument calibration errors, environmental conditions, or personal bias. To estimate systematic uncertainty, follow these steps:
1. Identify potential sources of systematic error.
2. Quantify the magnitude of each error source.
3. Combine these errors, typically by adding them in quadrature (square root of the sum of squares).
Random uncertainty, on the other hand, arises from unpredictable variations in the measurement process. It can be estimated by performing multiple measurements and analyzing the data. The steps to estimate random uncertainty are:
1. Perform multiple measurements of the same quantity.
2. Calculate the mean (average) of the measurements.
3. Calculate the standard deviation, which represents the spread of the data around the mean.
The difference between error and uncertainty lies in their definitions and how they affect measurements. Error is the difference between the measured value and the true value of a quantity. It can be classified as systematic (consistent and predictable) or random (unpredictable and variable). Uncertainty, however, represents the level of confidence with which the measured value is known, considering the limitations of the measuring process. It is often expressed as a range or interval and encompasses both systematic and random uncertainties. In summary, error is the deviation of a measurement from the true value, while uncertainty quantifies the reliability of the measurement.

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The distance between the 3rd lamppost and 8 th lamppost is 100 meters.

EXPLANATION:

If the distance between 2 lampposts is 40 meters, you would divide the neters by 2. This would give you the answer of 20, meaning the distance between lampposts is 20 meters. So multiply 20 * 5 to get the distance between the third lampost and eight lamppost.

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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The values of the expressions are x = √6, y = 2√3 and z = √2

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

\(x =\sqrt{12-3\sqrt{7} } - \sqrt{12 + 3\sqrt{7} }\)

\(y = \sqrt{7-4\sqrt{3 } } - \sqrt{7 + 4\sqrt{3} }\)

\(z = \sqrt{2 + \sqrt{3} } - \sqrt{2 - \sqrt{3} }\)

We have

\(x =\sqrt{12-3\sqrt{7} } - \sqrt{12 + 3\sqrt{7} }\)

Take the square of both sides

So, we have

\(x^2 =12-3\sqrt{7} + 12 + 3\sqrt{7} - 2(\sqrt{12-3\sqrt{7} } * \sqrt{12 + 3\sqrt{7} })\)

This gives

x² = 12 - 3√7 + 12 + 3√7 - 2√81

Evaluate the roots

So, we have

x² = 12 - 3√7 + 12 + 3√7 - 18

Evaluate the sum and the difference

x² = 6

Take the square roots of both sides

x = √6

Using the same steps above, we have

\(y = \sqrt{7-4\sqrt{3 } } - \sqrt{7 + 4\sqrt{3} }\)

Square both sides

So, we have

\(y^2 = 7 - 4\sqrt 3 + 7 + 4\sqrt 3 - 2 * \sqrt{7-4\sqrt{3 } } * \sqrt{7 + 4\sqrt{3} }\)

This gives

\(y^2 = 7 - 4\sqrt 3 + 7 + 4\sqrt 3 - 2 * 1\)

Evaluate

y² = 12

Take the square root of both sides

y = 2√3

Lastly, we have

\(z = \sqrt{2 + \sqrt{3} } - \sqrt{2 - \sqrt{3} }\)

Square both sides

\(z^2 = 2 + \sqrt 3 + 2- \sqrt 3 - 2 * \sqrt{2 + \sqrt{3} } * \sqrt{2 - \sqrt{3} }\)

This gives

z² = 4 - 2 *1

Evaluate

z = √2

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Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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