What is the value of f(2) when f(x)= 3x-7?

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

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Answer:

69%

Step-by-step explanation:

10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.

The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer:

2.8

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

4/5ths is just .8 in fraction form. Add it on to your 2 and you've got your answer.

If the value of the mean is 5. Then the value of the fifth card will be 7.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

There are five cards on a table.

On four of the cards there are the numbers 9, 1, 3 and 5.

You are told that the mean value of the numbers is 5.

Then the number is on the 5th card will be

Let the value of the fifth card will be x.

Then we have

Mean = (sum of the observation) / (number of the observation)

 5 = (1 + 3 + 5 + 9 + x) / 5

25 = 18 + x

  x = 25 – 18

  x = 7

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If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Step-by-step explanation:

4y(3x+2)–2(3x+2)

(4y–2)(3x+2)

2(2y–1)(3x+2)

The Factor of given equation  \(4y(3x+2)-2(3x+2)\)   is    \((2y-1) (6x+4)\) .

Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.

We have,

 \(4y(3x+2)-2(3x+2)\)  

So, first simplify the expression,

      \(12xy+8y -6x-4\)

⇒    \(12xy-6x+8y-4\)

⇒     \(6x(2y-1)+4(2y-1)\)

From we can see that \((2y-1)\) is common in both terms,

Therefore,

⇒    \((2y-1) (6x+4)\)

So,    \((2y-1) (6x+4)\)  is the factor of the given expression.

Hence, we can say that the Factor of given equation \(4y(3x+2)-2(3x+2)\)   is    \((2y-1) (6x+4)\) .

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Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer: 0.1974

Step-by-step explanation:

Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.

Given: Population mean: \(\mu=20\)

Standard deviation: \(\sigma=2\)

The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:

\(P(19.5<x<20.5)=P(\dfrac{19.5-20}{2}<\dfrac{x-\mu}{\sigma}<\dfrac{20.5-20}{2})\\\\=P(-0.25<z<0.25)=2P(0.25)-1 [P(-z<Z<z)=2P(Z<z)-1]\\\\=2(0.5987)-1=0.1974\)

The required probability=0.1974

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

where is the picture

Step-by-step explanation:

u need a pic

Answer:

t = (y+3)/x

Step-by-step explanation:

Step 1: Add 3 to both sides.

Step 2: Divide both sides by x.

Therefore, the answer is \(t = \frac{y+3}{x}\).

\(\sf{Heya}\) ~

*ੈ✩‧₊˚  \(\mathfrak{Satori~ Tendō~is~here~to~help}\)  ੈ✩‧₊˚

\(\sf{solve~for~t,~Xt~-~3=y~:~t=\frac{y~+~3}{X} ;~X~∉~0\)

\(\bold{Add~3~to~both~sides~:}\)

\(\sf{Xt~-~3~+~=~y~+~3}\)

\(\bold{Simplify~:}\)

\(\sf{Xt~=~y~+~3}\)

\(\bold{Divide~both~sides~by~X;}~X~∉~0\)

\(\sf{\frac{Xt}{X}~=~\frac{y}{X}~+~\frac{3}{X};~X~≠0\)

\(\bold{Simplify~:}\)

\(\sf{t=\frac{y~+~3}{X};~X~≠0\)

Hopefully This Helps !

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\(\underline{Answer~:}\)

\(\sf{Tendou}\) ~

Answer:

\(J' = (-2,-4)\)

Step-by-step explanation:

Given

The attached figure

\(J = (-3,-6)\)

\(D_{o,\frac{2}{3}}(x,y)\)

Required: Determine J'

The given transformation: \(D_{o,\frac{2}{3}}(x,y)\) means that the quadrilateral is dilated by a scale factor or 2/3.

So, J' is calculated as:

\(J' = \frac{2}{3} * J\)

\(J' = \frac{2}{3} * (-3,-6)\)

\(J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)\)

\(J' = (2*-1,2*-2)\)

\(J' = (-2,-4)\)

Hence, J' = (-2,-4)

The formula for y in terms of x and c is given as follows:

\(y = \frac{c^5}{\sqrt{x}}\)

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

An inverse proportional relationship is modeled as follows:

y = k/x.

In this problem, we have that y is inverse proportional to the square root of x, hence the equation is given as follows:

\(y = \frac{k}{\sqrt{x}}\)

When x = c², y = c^4, hence the constant k is obtained as follows:

\(c^4 = \frac{k}{\sqrt{c^2}}\)

k/c = c^4

k = c^5.

Hence the equation is:

\(y = \frac{c^5}{\sqrt{x}}\)

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Answer:

The dogs path is shorter to the water bowl

Step-by-step explanation:

Answer:

a ≤ 2

Step-by-step explanation:

Simplify both sides of the inequality

42a + 48 ≤ 132

Subtract 48 from both sides

42a + 48 − 48 ≤ 132 − 48

42a ≤ 84

Divide both sides by 42

42a/42 ≤ 84/42

a ≤ 2

Answer: I hope this helps.

Step-by-step explanation:

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

\( = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25\)

Answer:

Rate of change per year = $5300

Step-by-step explanation:

Step 1: Substitute the variable P for the invested amount

    1. A(t) = 5000(1.06)t

    2. A(t) = (5300)t

Step 2: Substitute the variable t for the first 15 years

    1. A(15) = (5300)(15)

    2. A(15) = 79,500

Step 3: Substitute the variable t for the 20 years

    1. A(20) = (5300)(20)

    2. A(20) = 106,000

Step 4: Find your two ordered pairs and relation

    First ordered pair: (15, 79,500)

    Second ordered pair: (20, 106,000)

    Relation: {(15, 79,500), (20, 106,000)}

Step 5: Find the slope or rate of change between 15 and 20 years

    Let (y₁, x₁) = (15, 79,500)

    Let (y₂, x₂) = (20, 106,000)

    1. Use the slope expression: y₂ - y₁/x₂ - x₁

    2. Substitute the correct values into the expression:

         106,000 - 79,500/20 - 15

    3. Simplify: 26500/5 = 5300

    4. Hence, the rate of change in dollars per year is $5300

Answer:

The  value is  \(Z_{\alpha } = 1.439\)

Step-by-step explanation:

From the question we are told that

   The  confidence level is  C  =  85%  

Generally the level of significance is mathematically represented as

         \(\alpha = (100 - 85 )\%\)

        \(\alpha = 0.15\)

Now from the normal distribution table  the critical value  of \(\alpha\) is  

     \(Z_{\alpha } = 1.439\)