what is the domain of the function f(x)=|x|

Answer:x=7/5 or 1 2/5

Step-by-step explanation:

x + 3/5=2

Step 1: Subtract 3/5 from both sides.

X+3/5-3/5=2-3/5

X=7/5

Answer:

7/5 or 1 2/5

Step-by-step explanation:

\(x+\dfrac{3}{5}=2 \\\\\\x=2-\dfrac{3}{5} \\\\\\x=\dfrac{10}{5}-\dfrac{3}{5} \\\\\\x=\dfrac{7}{5}= 1\dfrac{2}{5}\)

Hope this helps!

Answer:

f = 13\(\sqrt{2}\)

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = \(\sqrt{338}\) = \(\sqrt{169(2)}\) = 13\(\sqrt{2}\) ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

Answer:

60, plz mark me brainliest

Step-by-step explanation:

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

B

Step-by-step explanation:

five times x cubed plus/and two times x squared minus nine.

Answer:

Add 4.6 to both sides

3.3 = x - 4.6

3.3 + 4.6 = x - 4.6 + 4.6

Add the numbers

3.3 + 4.6 = x -4.6 + 4.6

7.9 = x - 4.6 + 4.6

Add the numbers

7.9 = x-4.6 + 4.6

7.9 = x

Move the variable to the left  (btw variable is the letter "x")

x = 7.9

Hopefully this helped!Enjoy your day bye!

Answer:

3/4 books per month

Step-by-step explanation:

12/16=3/4

So she reads 3/4 of a book each month

Answer:

The answer is 3⁴

Step-by-step explanation:

3² • 3² = 3²⁺² = 3⁴

Thus, The answer is 3⁴

-TheUnknownScientist

Answer:

5

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (28 - 18) / (4 - 2)

Slope = 10 / 2 = 5

Answer:

5

Step-by-step explanation:

5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5

i hope this helps :)

Answer:

Mean = 20

Standard deviation ≈ 4.38

Step-by-step explanation:

X is a random variable with a binomial distribution with p = 4% = 0.04 and n = 500, where p stands for probability of success and n stands for number of trials.

1. The mean of binomial distribution is given as np, therefore the mean would be

500 x 0.04 = 20

2. The standard deviation of a binomial distribution is given as √[np(1 – p)], therefore we have:

√[500 x 0.04(1 – 0.04)] = √[20(0.96)] = √(19.2) ≈ 4.38

Answer: Mean: 20

Standard Deviation: 4.38

Step-by-step explanation:

Answer:

0.0024

Step-by-step explanation:

0.04*0.06=0.0044

Answer:

The terms are:

\(t,8,3t\)

And the like terms are:

\(t,3t\)

Answer:

736 in^2

Step-by-step explanation:

The triangle formed by cities A, B, and C is an obtuse triangle.

To determine the type of triangle formed, we can analyze the lengths of the sides. According to the given information, the distance between city A and city B is 22 miles, between city B and city C is 54 miles, and between city A and city C is 51 miles.

Using the triangle inequality theorem, we find that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. However, in this case, 22 + 54 = 76, which is less than 51. Therefore, the triangle violates the triangle inequality, indicating that it is an obtuse triangle.

An obtuse triangle is a triangle where one of the angles measures greater than 90 degrees. In this scenario, the angle formed at city C is the obtuse angle.

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After a rotation of 90° counterclockwise around the origin then the structure has points S'(-2,5), T'(-7,6), U'(-8,5) and V'(-7,4).

What is rotation?

The circular movement of an object about a centre is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space refers to all rotations around a fixed point that form a group beneath a structure.

A diagram STUV is drawn on a coordinate plane with the points -

S(5,2), T(6,7), U(5,8) and V(4,7)

This diagram needs to be rotated 90° in counter clockwise direction around the origin.

When a structure is rotated 90° in counter clockwise direction around the origin, the formula for coordinate points becomes -

(x,y) → (-y,x)

Applying this formula for rotation on the given coordinate points -

S(5,2) → S'(-2,5)

T(6,7) → T'(-7,6)

U(5,8) → U'(-8,5)

V(4,7) → V'(-7,4)

Therefore, the new coordinate points are obtained on rotation.

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Answer:

3.5

Step-by-step explanation:

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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The distribution of the statistic ∑(Xi-Μ)² is chi-squared with 10 degrees of freedom.

(I) To compute A = ∑(Xi-Μ)² for Μ = 1 and Σ² = 4, we first need to calculate the values of (Xi-Μ) for each observation:

(X1-Μ) = (0.5 - 1) = -0.5

(X2-Μ) = (0.9 - 1) = -0.1

(X3-Μ) = (-0.7 - 1) = -1.7

(X4-Μ) = (1.5 - 1) = 0.5

(X5-Μ) = (-1 - 1) = -2

(X6-Μ) = (2.5 - 1) = 1.5

(X7-Μ) = (3.75 - 1) = 2.75

(X8-Μ) = (-1.6 - 1) = -2.6

(X9-Μ) = (0.2 - 1) = -0.8

(X10-Μ) = (3.15 - 1) = 2.15

Next, we square each of these values:

(-0.5)² = 0.25

(-0.1)² = 0.01

(-1.7)² = 2.89

(0.5)² = 0.25

(-2)² = 4

(1.5)² = 2.25

(2.75)² = 7.56

(-2.6)² = 6.76

(-0.8)² = 0.64

(2.15)² = 4.6225

Now, we multiply each squared value by σ² = 4:

0.25 * 4 = 1

0.01 * 4 = 0.04

2.89 * 4 = 11.56

0.25 * 4 = 1

4 * 4 = 16

2.25 * 4 = 9

7.56 * 4 = 30.24

6.76 * 4 = 27.04

0.64 * 4 = 2.56

4.6225 * 4 = 18.49

Finally, we sum up all these values to obtain A:

A = 1 + 0.04 + 11.56 + 1 + 16 + 9 + 30.24 + 27.04 + 2.56 + 18.49

A = 117.89

The distribution of the statistic ∑(Xi-Μ)² follows a chi-squared distribution with n degrees of freedom, where n is the number of observations (in this case, n = 10).

To evaluate P(∑(Xi-Μ)² ≤ A), we need to calculate the cumulative probability of the chi-squared distribution with 10 degrees of freedom being less than or equal to A. This can be done using statistical software or chi-squared distribution tables.

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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The general solution of the differential equation \(dy/dx + y = e^{(7x)\) is \(y = Ce^{(-x)} + (1/8)e^{(7x)\), where C is an arbitrary constant.

To find the general solution of the given differential equation, we will use an integrating factor. The standard form of a first-order linear differential equation is dy/dx + Py = Q, where P and Q are functions of x. In this case, P = 1 and \(Q = e^{(7x)\).

The integrating factor is defined as μ(x) = e^(∫P dx). Integrating P = 1 with respect to x gives us ∫1 dx = x. Therefore, the integrating factor is μ(x) = \(e^x\).

Now, multiply both sides of the differential equation by the integrating factor:

\(e^x(dy/dx) + e^xy = e^{(8x)\).

Using the product rule, we can rewrite the left-hand side as \((e^xy)' = e^{(8x)\). Integrating both sides with respect to x gives us:

∫(eˣy)' dx = ∫e^(8x) dx.

Integrating \(e^{8x}\) gives us \((1/8)e^{(8x)\), and integrating \((e^xy)'\)with respect to x gives us eˣy. Therefore, we have:

\(e^xy = (1/8)e^{(8x)} + C\).

Simplifying the equation, we get:

\(y = Ce^{(-x)} + (1/8)e^{(7x)\),

where C is an arbitrary constant, representing the family of solutions for the given differential equation.

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The annual growth rate is $175.17 when $170 is deposited in a savings account with a daily compounded interest rate of 3%.

The geometric progression ratio, which provides a constant rate of return over a given period of time, is referred to as the compound annual growth rate (CAGR) in the context of business and investing.

Although CAGR is not a term in accounting, it is frequently used to describe a business aspect, such as revenue, units delivered, registered users, etc. CAGR hoses the impact of instability of intermittent returns that can deliver number juggling implies immaterial. Comparing growth rates from various data sets with a similar domain, such as revenue growth for businesses in the same industry or sector, is especially helpful.

$170 is stored in an investment account with a day to day accumulated financing cost of 3%. Make a capability that shows the worth of the record after t years, with a consistent in the capability that might be utilized to compute the yearly development rate. Rounding all function coefficients to the nearest four decimal places is required.

We have to find calculate the annual growth rate.

We know that,

The formula is \(A =P(1+\frac{r}{n} )^{nt\)

Here,

A is amount

P is principal amount= 170

r is rate of interest= 3%= 0.03

n is compound interest=12

t is time= 1 year

\(A =170(1+\frac{0.03}{12} )^{12*1\)

A = 175.17

Therefore The annual growth rate is $175.17 when $170 is deposited in a savings account with a daily compounded interest rate of 3%.

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Answer:

13

Step-by-step explanation:

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

-6

Step-by-step explanation:

Parallel lines have equal slope. So this question is basically asking you what is the slope of this line.

Make this equation into slope intercept form.

y= -6(x-3) -2

y= -6x +16

y=mx+b

Answer:

Scalene Triangle

Step-by-step explanation:

All angles of a scalene triangle are unequal.

Answer:

I believe the correct answer is a scalene triangle.

Step-by-step explanation:

I hope this helps!! Have a blessed day!!

Answer:

4,813,431.07 ft³

\(V = \frac{1}{3} \pi r^2h\\\\V = \frac{1}{3} * 3.14 * \frac{307}{2^2} * 195\)

    \(= 4,813,431.07\)

The computation is that the width is 21.5 feet and the height is 12.5.

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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