Write this number in standard form.

5.46×105=

The statement is true. If the two nonadjacent angles are formed by two intersecting lines, then the  angles are congruent

When two non-adjacent angles are formed with two intersecting lines then they are called​ opposite angles.

There are some properties of nonadjacent angles:

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Answer:

The concentration of hydrogen ions in moles per liter (M) is \(3.981 * 10^{-9}\)

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

\(H^+ = 10^{-pH}\)

Substituting the given values in above equation, we get -

\(H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}\) mol/l

The concentration of hydrogen ions in moles per liter (M) is \(3.981 * 10^{-9}\)

The dimensions of the given matrix is 3x2 .

A matrix is defined as a rectangular arrangement of number in the form of rows and column .

Suppose a matrix has m rows and n columns then the dimension of that matrix will be represented by " m x n " .

For Example : Consider the matrix  \(\left[\begin{array}{ccc}1&2&3\\4&5&6\\\end{array}\right]\)   , this matrix has 2 rows and 3 columns ,

so the dimension will be 2x3 .

In the question ,

the given matrix is  

\(\left[\begin{array}{ccc}1&2\\3&4\\5&6\end{array}\right]\)

As it can be seen that the matrix has 3 rows and 2 columns ,

hence the dimension will be 3x2 .

Therefore , the dimensions of the given matrix is 3x2 , the correct option is (b) 3x2 .

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Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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59. The set V intersected with NJ.
60. The set V intersected with the union of F, U, and W.

To find the set in question 59, we take the intersection of V and NJ. This means we are looking for the elements that are present in both V and NJ.

To find the set in question 60, we take the intersection of V and the union of F, U, and W. This means we are looking for the elements that are present in both V and the set obtained by combining the elements from F, U, and W.

In both cases, we are using the concept of set intersection, which means finding the common elements between two sets. This can be done by comparing the elements of the sets and selecting only those that are present in both sets.

In summary, the direct answers to the sets are V intersect NJ and V intersect (F union U union W). To find these sets, we use the concept of set intersection to identify the common elements between the given sets.

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Answer:

38

Step-by-step explanation:

Complement means that the 2 angles add up to 90 so:

x + 52 = 90

x = 90 - 52

x = 38

Answer:

Step-by-step explanation:

If I name the centre (intersection of diagonals) as O, Angle AOD will be equal to 68°

[Opposite angles are equal]

The diagonals bisect the 4 corner angles of a rectangle in equal halves. So, a = 45°

Also, Angle ADO = 90° - b

[Each of the four angles in a rectangle = 90°]

And In \(\triangle\) AOD,

=> Angle AOD + Angle ADO + Angle OAD = 180°

=> 68° + 90° - b + 45° = 180°

=> 203° - b = 180°

=> b = 23°

Answer:

I think 9.25

Step-by-step explanation:

Answer:

9 dollar

Step-by-step explanation:

it is now 9 dollar because the increase was 3.00

Answer:

y = -3/4 x + B

Step-by-step explanation:

B is the translation of the line across y-axis

The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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The greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

To find the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 - 18x^2\), we need to identify the largest expression that divides evenly into each term.

Let's break down each term individually:

\(8x^4\) can be factored as 2 × 2 × 2 × x × x × x × x

\(-4x^3\) can be factored as -1 × 2 × 2 × x × x × x

\(-18x^2\) can be factored as -1 × 2 × 3 × 3 × x × x

Now, let's look for the common factors among these terms:

The common factors for all the terms are 2 and \(x^2\).

Therefore, the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

its 0

Step-by-step explanation:

6 squared plus 2 squared = 40 40/4=10 10-10=0

Answer: D

Step-by-step explanation:

Answer:

25ml of wallpaper remover

Step-by-step explanation:

(y = amount of wallpaper remover)

4500×4 = 18000

18000:600

750    : y

18000y = 600×750

18000y = 450000

y = 450000÷18000

y = 25

The maximum number of minutes Paige could use her phone each month in order to stay within her budget is 175 minutes.

As per the data given

Paige's budget is $25.50 per month for her total cell phone expenses without taxes.

And her monthly fee is $15.00

And she has a cell phone plan that charges $0.06 per minute.

According to the given question we have to determine the maximum number of minutes Paige could use her phone each month in order to stay within her budget.

Let the maximum number of minutes be 'm'.

According to the question

0.06m + 15 = 25.50

0.06m = 25.50 - 15

0.06m = 10.50

Divide both sides by 0.06

\(\frac{0.06m}{0.06} =\frac{10.50}{0.06}\)

m = \(\frac{1050}{6}\)

m = 175 minutes

Therefore the maximum number of minutes Paige could use her phone each month is 175 minutes.

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Answer: Choice D)  7.5 inches, 18 inches, 19.5 inches

====================================================

Explanation:

The Pythagorean theorem converse can be used to determine if we have a right triangle or not.

The converse says that if a^2 + b^2 = c^2 is a true equation, then we have a right triangle.

The value of c is always the longest side. The order of 'a' and b doesn't matter (usually b is larger than or equal to 'a'). So we could have \(a \le b < c\) or \(b \le a < c\), but convention usually leans toward the first inequality mentioned.

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

In choice A, we have the following steps

a^2 + b^2 = c^2

(7.5)^2 + (18)^2 = (21.5)^2

380.25 = 462.25

Since the third equation is false, this means the first equation is false for those a,b,c values. Choice A is not a right triangle. We can cross it off the list.

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

In choice B, we have a = 7.5, b = 19.5 and c = 21.5

So,

a^2 + b^2 = c^2

(7.5)^2 + (19.5)^2 = (21.5)^2

436.5 = 462.25

which is also false. Cross choice B off the list.

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

With choice C we have: a = 18, b = 19.5, c = 21.5

a^2 + b^2 = c^2

(18)^2 + (19.5)^2 = (21.5)^2

704.25 = 462.25

Cross choice C off the list since the third equation is false.

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

In choice D, we have the sides a = 7.5, b = 18, c = 19.5

a^2 + b^2 = c^2

(7.5)^2 + (18)^2 = (19.5)^2

380.25 = 380.25

We get the same number on both sides, so the third equation is true. Consequently, this leads to the first equation being true for those a,b,c values. Choice D is a right triangle, and it's the final answer.

Answer:

D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45

Step-by-step explanation:

The temperature over a day can be modeled by a sinusoidal function of the form:

D(t) = A * sin(Bt + C) + D

Where A is the amplitude (half the difference between the high and low temperatures), B is the angular frequency, C is the phase shift, and D is the vertical shift.

From the given information, we know:

The high temperature is 85 degrees.

The low temperature of 45 degrees occurs at 3 AM, or 3 hours after midnight.

So, the amplitude is (85 - 45)/2 = 20

The temperature at 3 AM can be found by setting t = 3:

D(3) = 20 * sin(B * 3 + C) + 45

So, the vertical shift is 45.

Finally, we can find the phase shift by using the fact that the low temperature occurs at 3 AM:

C = -B * 3 + k * 2π

Where k is an integer.

Putting it all together, we get:

D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45

This is the equation for the temperature, D, in terms of t.

Answer:

origin dilation if 5. is 5

Answer:

35 plus x.50=y

Step-by-step explanation:

Answer:

y = 4x + 7

Step-by-step explanation:

y = mx + b

m = slope = 4

y = 4x + b

Now substitute the x- and y-coordinates of the given point into the equation and solve for b.

3 = 4(-1) + b

3 = -4 + b

b = 7

The equation is:

y = 4x + 7

y=4x+1

First write into point slope form: y - y1 =m (x - x1)

y - 3 = 4 (x - (-1) )

Then distribute the 4

y - 3 = 4x + 4

Move the three across the equation

y = 4x + 1

Answer: 31

Step-by-step explanation:

180-20-35 = 125 (bottom triangle)

180 - 156 = 24

125 + 24 = 149

180-149 = your answer

The method of undetermined coefficients cannot be applied to find a particular solution of the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ) since sec(θ) is not an elementary function that fits the criteria for the method.

To determine whether the method of undetermined coefficients can be applied to find a particular solution for the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ), we need to consider the nature of the non-homogeneous term on the right-hand side (sec(θ)) and the compatibility with the method.

The method of undetermined coefficients is applicable when the non-homogeneous term is a linear combination of elementary functions such as polynomials, exponential functions, sine, cosine, and their linear combinations.

However, the term sec(θ) does not fall into this category.

Secant (sec(θ)) is not an elementary function. It is the reciprocal of the cosine function and has a non-trivial behavior. The method of undetermined coefficients relies on the assumption that the particular solution can be expressed as a sum of specific functions, each corresponding to the elementary functions in the non-homogeneous term.

Since sec(θ) does not fit this criterion, the method of undetermined coefficients cannot be directly applied to find a particular solution.

In this case, an alternative approach, such as variation of parameters or integrating factors, may be more appropriate for finding a particular solution for the given equation.

These methods are used to handle non-elementary non-homogeneous terms by introducing additional parameters or transforming the equation.

Therefore, in the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ), the method of undetermined coefficients cannot be directly applied to find a particular solution.

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Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

Answer:

4/3 of an hour, or 1.33 hours

Step-by-step explanation:

It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because \(\frac{1}{3} *3=1\) hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.

\(\frac{1}{3} *\frac{4}{4} =4/3\) hours

Answer:

17/200 or \(\frac{17}{200}\)

Step-by-step explanation:

Answer:

\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)

\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)

Answer:

1.5 litres for 2.70

Step-by-step explanation:

If you'e buying the 2l one they are gonna charge you 1.20 more just for 0.5l, and 0.5l should actually cost 0.95, so they are practically ripping you off if you buy the 2l

Answer:

-A

Step-by-step explanation:

A has all lengths exactly half

f(x, y) = e²y² is a function of two variables, x and y. The partial derivative of f with respect to y, denoted by f₂, is the derivative of f with respect to y, holding x constant.

To find f₂ (0, -2), we first find f₂ (x, y). This is given by:

f₂ (x, y) = 2ye²y²

Substituting x = 0 and y = -2, we get:

f₂ (0, -2) = 2(-2)e²(-2)² = -8

Therefore, the answer is E. -8.

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