A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

\((\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}\)

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to check the given list and state the true values;

1. This is true

Compound interest has the exponent nt; simple interest has no exponent

2. This is false

Simple interest is only earned on the principal which is the amount deposited

3. True

Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame

4. This is false; check explanations above

5. This is true

Its value is only based on the amount invested originally

6. This is false

simple interest earns the same amount annually based on rate

7. This is false

Both considers the time factor t in their formulas

8. This is true

The interest and principal forms the principal for another compounding time

The model that is most likely rule out on the basis of this simulation is 40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

First set of trials:  ththththht ( where T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials: ttthtthtth

Number of heads = 3

Number of outcomes = 10

Total number of heads = 5 + 3 = 8

Total number of outcomes = 10 + 10 = 20

Probably of heads = 8/20 * 100%

Probably of heads = 0.4*100%

Probably of heads = 40%

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Answer:

51

Step-by-step explanation:

x + y + z  = 0   →-  -(x + y)  = z  →   z^3 =  - (x^3 + 3x^2y + 3xy^2 + y^3)

xyz  = 17

xy [ -(x + y) ]  = 17

xy (x + y)  = -17  →  x^2y + xy^2  = -17  →  3x^2y + 3xy^2  = -51

So......

x^3  + y^3  +  [ z^3 ]

x^3  + y^3  +  [ -  ( x^3 + 3x^2y + 3xy^2 + y^3) ]  =

-3x^2y - 3xy^2  =

-[ 3x^2y + 3xy^2]  =

- [-51]  =

51

please rate 5 stars

Answer:

This depends on the drop downs but its probably this:

1. Coefficient

2. Factor (I changed this one after the asker said what options there are)

3. Constant

Answer:

In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

Correct from Edmentum

Answer:

y - 3 = 2 (x + 1/2)

Step-by-step explanation:

y= mx + b

M is your slope and B is your y-intecept.

Hope this helped!! <3

Answer:

c = \(\frac{1}{4}\)

Step-by-step explanation:

using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m + n)}\)

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(2^{-4}\) × 2² = \(2^{(-4+2)}\) = \(2^{-2}\) = \(\frac{1}{2^{2} }\) = \(\frac{1}{4}\) = c

\(-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9\)

(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)

Answer:

x = 9

Step-by-step explanation:

-6x = -5x -9

+5x   +5x

----------------

-x = -9

---    ----

-1      - 1

-------------

x = 9

Hope this helps!!^^ plz mark brainliest?

Answer:

Yes

Step-by-step explanation:

Let's assume that x=1/y.

For y=1, x=1

For y=2, x=0.5

For y=4, x=0.25

And so on

Answer:

x = 7 √3 km

Step-by-step explanation:

Here, we want to get the value of x

As we can see, we have a right angled triangle with hypotenuse 14 km

we can use the Pythagoras’ theorem to get the value of x

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

14^2 = x^2 + 7^2

x^2 = 196-49

x^2 = 147

x = 7 √3 km

Answer:

480 ft²

Step-by-step explanation:

There are 9 polygons whose areas need to be added.

1 square bottom face of prism: 10 ft × 10 ft = 100 ft²

4 rectangular lateral faces of prism: 4 × 10 ft × 6 ft = 240 ft²

4 triangular lateral faces of prism: 4 × (1/2) × 10 ft × 7 ft = 140 ft²

Total = 480 ft²

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

A,B,E

Step-by-step explanation:

Just did completed this on Ed

The number of people who received fewer than 100 spam messages in the university department is calculated below:

Total number of messages tagged as spam = 6693

Total number of people = 12

Total number of people who received more than 100 spam messages = 11

Number of people who received fewer than 100 spam messages = 1

The number of people who received fewer than 100 spam messages can be calculated by subtracting the total number of people who received more than 100 spam messages from the total number of people in the department.

Thus, the other 1 person received a total of: 6693 - (1818 + 1358 + 442 + 416 + 399 + 389 + 304 + 251 + 251 + 178 + 158 + 103) = 474

Graph illustrating the data collected from students and faculty in the department. it is clear that the majority of students and faculty members in the department received more than 100 spam messages. One person received fewer than 100 spam messages. The number of spam messages received seems to decrease with time, which may indicate that the spam filter is effective.

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Transformations that may have been used to construct A'B'C include a 90° upward rotation and a 3 unit up and 3 unit right shift.

Transformation in mathematics refers to the process of changing the position, size, or shape of a geometric object. The following are the most common types of transformations: Translation: It involves moving an object from one location to another without changing its size or orientation. Reflection: It involves flipping an object over a line of reflection, so that the object and its image are mirror images of each other. Rotation: It involves rotating an object around a fixed point, called the center of rotation. Dilation: It involves changing the size of an object, either making it larger or smaller, while preserving the shape of the object. Shear: It involves skewing an object in a given direction, causing its shape to be distorted. Similarity Transformation: It is a combination of transformations that preserve the shape of an object, but changes its size and orientation.

Here,

Triangle A’B’C’ is the image of triangle ABC. Transformations could have been used to create A’B’C,

Rotation of 90° upwards.

Shift of 3 units up and 3 units to the right.

Transformations could have been used to create A’B’C is Rotation of 90° upwards and Shift of 3 units up and 3 units to the right.

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The particular solution of the given equation is given by:\(y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

Given an equation, using the method of undetermined coefficients, the particular solution is to be found. The equation is:\((D4+4D2+4)y = xe^(2x)\)

Where, D denotes the derivative with respect to x.Step-by-step explanation:

First, the characteristic equation is to be determined. That is,D^2+4 = 0 => D = ∓2iThe complementary function (CF) is given by:

\(yCF = c1cos(2x) + c2sin(2x)\)

Now, let us assume the particular solution (PS) as:

yPS = Ax^2e^(2x)

where, A is a constant.

Differentiating PS, we get:\(y'PS = 2Axe^(2x) + 2Ax^2e^(2x)y''PS = 4Axe^(2x) + 4Ax^2e^(2x) + 4Axe^(2x) + 2Ax^2e^(2x)y'''PS = 8Axe^(2x) + 12Ax^2e^(2x) + 8Ax^2e^(2x) + 8Axe^(2x)y''''PS = 16Axe^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)\)Putting these values in the given equation, we get:

\((16Ax^2e^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)) + 4(4Axe^(2x) + 2Ax^2e^(2x)) + 4(Ax^2e^(2x)) = xe^(2x)\)Simplifying the equation, we get:\(48Ax^2e^(2x) + 16Axe^(2x) = xe^(2x)\)Comparing the coefficients of x and e^(2x), we get:48A = 1 and 16A = 0. Therefore, A = 1/48 and A = 0, which is not possible.

Hence, the assumption of PS is incorrect.

Hence, another assumption for PS is:\(yPS = (Ax^2 + Bx + C)e^(2x)\)Differentiating and putting the values in the given equation, we get:2B + 8C = 1 => 4B + 16C = 0 => 2A + 4B + 8C = 0Solving these equations, we get:A = 1/48, B = -1/24, and C = 1/48Hence, the particular solution is:

\(yPS = (x^2 - x + 1/48)e^(2x)\)

Therefore, the complete solution is:\(y = yCF + yPS = > y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

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Answer:

2.36 miles

Step-by-step explanation:

radius, r = 3 miles∅ = 45°Length of an arc = ∅/360 * 2πr= 45/360 * 2 * 3.14 * 3= 2.36 miles

Answer:

40(3 + 10)

Step-by-step explanation:

120 + 400 ( factor out 40, the GCF from each term )

= 40(3 + 10)

The product is greater than 1 < 8.4375

Given:

In the question:

Product the following question:

1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3

Now, According to the question;

1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3

Solve the mixed fraction:

1/2 x 9/2 x 5/4 x 3

Write as a single fraction:

(9 x 5 x 3) / (2 x 2 x4)

Calculate the product or quotient:

= 135/ 16

= 8.4375

Hence, The product is greater than 1 < 8.4375

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The level of measurement most appropriate for the data table on car lengths measured in feet is the ratio level of measurement. The ratio level of measurement is the most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting point.

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Answer:

Answer:

the most frequent response was one

Answer:

the answer is 45 duh

Step-by-step explanation:

Answer:

-12 and 14

Step-by-step explanation:

let the be x and y

x+y=2

x-y=26

add it down

2x=28

x=14

x-y=26

14-y=26

y=-12

give me branlist answer

The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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Answer:

Step-by-step explanation:

1cm = 5km

?cm = 45km.

Solve by dividing 45 by 5.

If the distance is 45km, on the map this will be 9cm.

Answer:

The length of each side of square is 5ft.

Step-by-step explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.

The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.

32.5 ft squared - 7.5 ft squared = 25 ft squared.

So, area of square = 25 ft squared.

Now, by putting the formula for getting the length of each side:

Let the side = a.

Area of square = 25 ft squared

Area of square = a²

Using square root both sides we get:

So, the side = 5 ft.

Therefore, the length of each side of square is 5ft.

The Area of Rectangle would be Decreased by 16% of the original Area. Now the Area of Rectangle is 84%.

Let the Length of rectangle be ‘x’

And width of rectangle be ‘y’

Area of Rectangle = Length X Width

Original Area of rectangle = x X y = xy square units

As the length is increased by 40% then, the new length would be 1+40% i.e 1.4 and,

The width is decreased by 40% then, the new width would be 1-40% i.e  0.6

New Length = 1.4x

New Width = 0.6y

Now , New Area of Rectangle = 1.4x X 0.6y

                    = 0.84xy square units

The effect is that the New Area of the rectangle is 84% of the original area. There is a decrease of 16% in the area.

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Answer: exceed means to be larger than or greater than

Step-by-step explanation:

just the defintion