A newspaper for a large city launches a new advertising campaign focusing on the number of digital subscriptions. The equation S(t)=31,500(1. 034)t approximates the number of digital subscriptions S as a function of t months after the launch of the advertising campaign. Determine the statements that interpret the parameters of the function S(t)

1 gram (g) equals 1000 milligrams (mg) in unit of measurement.

A unit of measurement is a particular magnitude of a quantity that has been predetermined and accepted by law or by custom and is used as a standard for measuring other quantities of the same kind. A multiple of the measurement unit can be used to express any additional quantity of that type.

Examples of physical quantities include length. The unit of measurement known as the metre, denoted by the letter "m," designates a particular, predetermined length. When "10 metres" (or 10 m) is mentioned, for example, it means a length that is 10 times the exact, predetermined length known as "metre."

The definition, agreement upon, and practical application of units of measurement have been essential to human endeavour from antiquity to the present.

Learn more about unit of measurement

https://brainly.com/question/629451

#SPJ4

The vectors are as follows:

a. 3u²v + w = (70, -35, -20).

b. v · (3u - w) = -76.

c.  = 2√21.

d. d(u, v + w) = 4√6.

a. To evaluate 3u²v + w, we first need to calculate the vectors u, v, and w.

  u = PQ = Q - P = (-4, 5, -1) - (0, 3, 1) = (-4, 2, -2)

  v = QR = R - Q = (2, 2, -3) - (-4, 5, -1) = (6, -3, -2)

  w = RP = P - R = (0, 3, 1) - (2, 2, -3) = (-2, 1, 4)

  Now, substitute these values into the expression:

  3u²v + w = 3(u · u)v + w

           = 3(u₁² + u₂² + u₃²)v + w

           = 3((-4)² + 2² + (-2)²)(6, -3, -2) + (-2, 1, 4)

           = 3(16 + 4 + 4)(6, -3, -2) + (-2, 1, 4)

           = 3(24)(6, -3, -2) + (-2, 1, 4)

           = (72, -36, -24) + (-2, 1, 4)

           = (70, -35, -20)

  Therefore, 3u²v + w = (70, -35, -20).

b. To evaluate v · (3u - w), we first need to calculate the vectors u and w as we did before.

  u = PQ = (-4, 2, -2)

  w = RP = (-2, 1, 4)

  Now, substitute these values into the expression:

  v · (3u - w) = v · (3(-4, 2, -2) - (-2, 1, 4))

               = v · (-12, 6, -6) - (-2, 1, 4)

               = (6, -3, -2) · (-12, 6, -6) - (-2, 1, 4)

               = -72 + (-18) + 12 - (-2) + 1 - 4

               = -76

  Therefore, v · (3u - w) = -76.

c. To evaluate ||-4(u + v)||, we need to calculate the vector u + v first.

  u + v = (-4, 2, -2) + (6, -3, -2)

        = (2, -1, -4)

  Now, substitute this value into the expression:

  ||-4(u + v)|| = ||-4(2, -1, -4)||

                = ||(-8, 4, 16)||

                = √((-8)² + 4² + 16²)

                = √(64 + 16 + 256)

                = √336

                = 2√21

  Therefore, ||-4(u + v)|| = 2√21.

d. To evaluate d(u, v + w), we first need to calculate the vector v + w.

  v + w = (6, -3, -2) + (-2, 1, 4)

        = (4, -2, 2)

  Now, substitute this value into the expression:

  d(u, v + w) = ||u - (v + w)||

              = ||(-4, 2, -2) - (4, -2, 2)||

              = ||(-8, 4, -4)||

              = √((-8)² + 4² + (-4)²)

              = √(64 + 16 + 16)

              = √96

              = 4√6

  Therefore, d(u, v + w) = 4√6.

In summary:

a. 3u²v + w = (70, -35, -20)

b. v · (3u - w) = -76

c. ||-4(u + v)|| = 2√21

d. d(u, v + w) = 4√6

To know more about vector operations, refer here:

https://brainly.com/question/10164701#

#SPJ11

Answer:

If you distribute 4(x+2) using the distributive property, which states that multiplying each number individually by a same # is the same as multiplying the #s' sum by that #.

Thus, 4*(x+2) is the same as 4*x+4*2 which simplifies to 4x+8, Option 2

Answer:

u can calculate yourself

Answer:

30

Step-by-step explanation:

This is the answer hope it helped

The only real number that satisfies the equation on complex number is -1. The complex number that satisfies the equation is :-1 + i0 = -1.

-1 = (x + iy)

where x and y are real numbers.

To solve for x and y, we can equate the real and imaginary parts of both sides of the equation:

Real part: -1 = x

Imaginary part: 0 = y

Therefore, the only solution is:

x = -1

y = 0

So, the complex number that satisfies the equation is:

-1 + i0 = -1

Therefore, the only real number that satisfies the equation on complex number is -1.

For such more questions on real number

https://brainly.com/question/20588403

#SPJ11

we first need to simplify the expression. We can do this by distributing the negative sign, which gives us -x - i(y).
Now, we need to find all values of x and y that make this expression equal to 0.

This means that both the real and imaginary parts of the expression must be equal to 0. So, we have the system of equations -x = 0 and -y = 0. This tells us that x and y can be any real numbers, as long as they are both equal to 0. Therefore, the solution to the equation −1 (x iy) for all values of real numbers x and y is (0,0).

Step 1: Write down the given equation: -1(x + iy)
Step 2: Distribute the -1 to both x and iy: -1 * x + -1 * (iy) = -x - iy
Step 3: Notice that -x - iy is a complex number, so we want to find all real numbers x and y that create this complex number. The real part is -x, and the imaginary part is -y. Therefore, the equation is satisfied for all real numbers x and y, since -x and -y will always be real numbers.

Learn more about real numbers here: brainly.com/question/30480761

#SPJ11

The value of z that yields an area of approximately 0.005 in the right tail of the standard normal distribution is approximately 2.58.

To find the value of z that yields an area of approximately 0.005 in the right tail of the standard normal distribution, we can use a standard normal distribution table or a statistical software. However, I can provide an approximate value using the Z-table.

From the Z-table, the closest value to 0.005 in the right tail corresponds to a Z-score of approximately 2.58.

Therefore, the value of z that yields an area of approximately 0.005 in the right tail of the standard normal distribution is approximately 2.58.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

So what do you think the answer is true or false

Answer:

True

Step-by-step explanation:

That is possible since the x is on 0. It can flip and then it lands on (0,-2) I think.

Hope this helped!

Answer:

78

Step-by-step explanation:

f(-3) means replace the x with -3.

f(-3) = (-3 - 2)² - (-3)³ = (-5)² - (-27) = 25 + 27 = 52.

f(3) = (3 - 2)² - (3)³ = (1)² - 27 = -26.

so f(-3) - f(3) = 52 - -26 = 52 + 26 = 78.

The vectors v and w are orthogonal because their dot product is 0 .

The angle between v and w is  :

\(cos\theta=0\\\\= > \theta=90\)

We have the information from the question:

v = -i - j,

w = -i + j

We have to find the dot product and state the vectors are parallel, orthogonal, or neither. vij, wij.

Now, According to the question:

The dot product are:

(v)(w) =  (-i - j)( -i + j)

Taking each  set of integer of the vector into consideration:

(v)(w) = ( -1 × - 1) ( -1 × 1)

(v)(w) = 1 - 1

(v)(w) = 0

So, The dot product is 0

This is implies that :

\(cos\theta=0\\\\= > \theta=90\)°

Hence, we can conclude that :

The vectors v and w are orthogonal because their dot product is 0 .

Learn more about Dot product at:

https://brainly.com/question/23477017

#SPJ4

The given question is incomplete, complete question is:

for the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c) state whether the vectors are parallel, orthogonal, or neither. vij, wij

v=-i-j, w=-i+j

Step-by-step explanation:

you would have to add the the sides and use context to find out the blank rectangles

Answer:

A = 160 mm²

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = bh ( b is the base and h the height )

Given P = 52 and P = 2(b + h) , then

2(b + h) = 52 ( divide both sides by 2 )

b + h = 26 ( substitute b = 16 )

16 + h = 26 ( subtract 16 from both sides )

h = 10

Then

A = 16 × 10 = 160 mm²

Answer:

its: 160^{2}

Step-by-step explanation:

ps: (b=l)

we have  : P=2 [l+w]

and : P= 52mm

so: 52=2(16mm+w)

    52/2= 16mm+w

     26-16=w

   10=w

so: w=10

and we know that:  area= w*l

so:                          area=10*16

so:          area= 160 mm^{2}

When no undergraduate students, graduate students, or faculty members are employed, 520 interviews are allowed.

Term definitions for faculty. a teacher who holds a position at a college or university. the words "academic" and "academician" It does, and it depends on the situation. A group of employees can be referred to as a "faculty" and the plural form is "faculties." I am a faculty member in the school of medicine. A faculty member of the School of Mathematics is my colleague. Educators, lecturers, researchers, scholars, and professors of various academic positions, such as associate professor, assistant professor, and so forth, make up a faculty. As previously mentioned, there are three levels of faculty rank: assistant, associate, and full professor.

Let xi represent the undergraduate​ students, graduate​ students and faculty  students.

The maximum interview, \(P=18x_{1} +25x_{2} +30x_{3}\)

Subject to \(x_{1} +x_{2} +x_{3}\)≤20

\(100x_{1} +150x_{2} +200x_{3}\)≤3200

With \(x_{1},x_{2} ,x_{3}\)≥0

\(P_{max}=520\)  when \(x_{1} =0\), \(x_{2} = 16\), \(x_{3} = 4\)

To know more about faculty members here

https://brainly.com/question/11656477

#SPJ4

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

15.24 millimeters

Step-by-step explanation:

6 * 2.54 = 15.24 mm.

Answer: should be 15.24

Step-by-step explanation: quick maths

Answer:

Step-by-step explanation:

\(C=2\pi r\)

   \(=2\times \pi \times 2.2\)

   \(=4.4\pi\)

   \(=13.82\)

The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4

Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.

It gives first term or terms of sequence and describes how term is related to previous term with an equation.

Looking at the graph ,

taking first two point  ,n = 1 and n = 2

At n = 1 , a(n) = 13

At n = 2 , a(n) = 9

so , 9 = 13 - 4

we can write it as,

a₂ = a₁ - 4

Hence , recursive formula for sequence :

aₙ₊₁ = aₙ - 4

bring aₙ to the left

=>  aₙ = aₙ₊₁ + 4 is required recursive formula

To know more about the recursive formula here

https://brainly.com/question/12620593

#SPJ1

The cost of a book bought by Russell is found in in dollars is $7.

For the stated question-

Let the price of the each book be 'x'.

Let the price of movie  be 'y'.

Then,

11x + 12y = 245  ...eq 1

10x + 26y = 434  ...eq 2

Solving both eq 1 and 2 using calculator.

x = 7 and y = 14

Thus, the cost of a book bought by Russell is found in in dollars is $7.

To now more about the equation, here

https://brainly.com/question/14107099

#SPJ1

Answer:

Step-by-step explanation:

hdhf

Answer:

131.25 miles.

Step-by-step explanation:

if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.

The actual distance between two cities is 131.25 miles.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale of a map,

1 inch = 25 miles,

Also, the distance between two cities on the map is 5.25 inches.

To find the actual distance in miles.

Use ratio method,

1 inches = 25 miles,

5.25 inches = 25 x 5.25 miles

                    = 131.25 miles

The actual distance between cities is 131.25 miles.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

f

(

4

x

2

−

5

)

=

12

x

2

−

20

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

using the property of exponents

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

given

3x²\(y^{5}\) × 4x³\(y^{7}\) ( separate like parts in the product )

= 3 × 4 × x² × x³ × \(y^{5}\) × \(y^{7}\)

= 12 × \(x^{(2+3)}\) × \(y^{(5+7)}\)

= 12\(x^{5}\)\(y^{12}\)

Answer:

72 degrees

Step-by-step explanation:

Triangle is similar to LMN which is isosceles

< LKJ =  < KJL

Answer:

-1

Step-by-step explanation:

(9,3) (0,12)

(x1,y1) (x2,y2)

to find the slope, use this equation:

y2-y1/x2-x1

12-3/0-9

the slope is 9/-9 = -1

Answer:

25,132.74 miles

Step-by-step explanation:

Hello!

We are basically asked to find the circumference of the Earth's cross-section.

Circumference: \(C = 2\pi r\)

We can replace 2r with the diameter, because the diameter is 2 times the radius.

Multiply the Diameter by pi:

It is around 25,132.74 miles around.

Answer: -32

Step-by-step explanation: You can start by first changing the equation to (-2)^5. Then you just multiply -2 by itself 4 times to get -32.

Answer:

\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\).

Step-by-step explanation:

If a point is \(P=(r,\theta)\), the all polar coordinates are defined as

In radian : \((r,\theta +2n\pi)\text{ and }(-r,\theta +(2n+1)\pi)\)

In degree : \((r,\theta +360^{\circ}n)\text{ and }(-r,\theta +(2n+1)180^{\circ})\)

where, n is any integer.

The given point is

\(P=(2,14^{\circ})\)

So, all polar coordinates are  

\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +(2n+1)180^{\circ})\)

\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +360^{\circ}n+180^{\circ})\)

\((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\)

Therefore, the required polar coordinates are \((2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)\), where n is any integer.

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

To know more about function,

https://brainly.com/question/31418405

#SPJ11