Let A={5,8}, B={p,q}, C={r,v} How many elements are in A×B?

Answer:

12500 - 10190 = 2310 ft.

Step-by-step explanation:

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: [tex]R: (500, \infty)[/tex]

Given that:

[tex]Phone = \$500[/tex]

[tex]Monthly\ Plan = \$60[/tex]

Let the number of months be t. So, the function C(t) is calculated as follows:

[tex]C(t) = Phone + Monthly\ Plan \times t[/tex]

[tex]C(t) = 500 + 60 \times t[/tex]

[tex]C(t) = 500 + 60t[/tex]

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

[tex]C(0) = 500 + 60\times 0= 500 + 0 = 500[/tex]

And the highest is [tex]\infty[/tex] i.e. for a large value of t

So, we have:

[tex]C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty[/tex]

Hence, the range of the function is:

[tex]R: (500, \infty)[/tex]

Read more about range of functions at:

https://brainly.com/question/13824428

Answer:

yes

Step-by-step explanation:

Each input has one corresponding output.

Answer:

(a) A

(b) x = 7

Step-by-step explanation:

(a) Given : -3 + 2x = 4

Step 1: Isolate the x to one side. To do so, we get rid of -3 by adding 3 to both sides. (-3 + 3 =0)

2x = 4 + 3

(b) -3 + x = 4

     x = 4 + 3

        = 7

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

Answer:

4.37 (repeated)

Step-by-step explanation:

Answer:

[tex]\frac{131}{30}[/tex]

Step-by-step explanation:

1. Convert the decimal into a fraction by writing our number above a fraction line without the decimal sign.

2. Count the decimal places. Below the fraction lines write the multiple of 10 with that many zeros so that would be [tex]\frac{17}{10}[/tex]

3. Now write all numerators above the lcd (least common denominator) 30. So that would be [tex]\frac{51 + 60 + 20}{30}[/tex]

4. Calculate the sum of the positive numbers. The result is [tex]\frac{131}{30}[/tex]

5. Answer is [tex]\frac{131}{30}[/tex]

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

Since the question has specific requirements, we are going to use elimination

Solve:

Given expressions

x + 5y = 11

-x + 4y = 7

Add both equations together to elimination [x] variable

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

9y = 18

Divide 9 on both sides

9y / 9 = 18 / 9

[tex]\boxed{y=2}[/tex]

Find the x value

x + 5y = 11 ⇔ Given equation

x + 5(2) = 11 ⇔ Substitute values of y

x + 10 = 11 ⇔ Simplify by multiplication

x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.

Step-by-step explanation:

x + 5y = 11

-x + 4y = 7

---------------- "Add" the equations above to get the equation below.

9y = 18

Now you can divide both sides by 9 to see that y is equal to 2.

Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.

x + 5(2)= 11

x + 10 = 11

x = 1

Step-by-step explanation:

[tex]\displaystyle \lim_{h \to 0} \dfrac{[-4(x + h) - 1] - (-4x - 1)}{h}[/tex]

[tex]\displaystyle \:\:\:\:\:\:\:\:\:=\lim_{h \to 0}\dfrac{-4h}{h}[/tex]

[tex]\:\:\:\:\:\:\:\:\:=-4[/tex]

Answer:

1 cup equals 16 tablespoons you have 2 cups so that is 32 tablespoons so you can make 16 servings. I think :)

hope this helps

Answer:

Step-by-step explanation:

2y = 3-2x

y = -x + 3/2

Slope of line = coefficient of x = -1

Answer:

(x-27)(x+4) = 0

Step-by-step explanation:

I think you have a typo, and meant

x^2 -23x-108

what are two factors of 108 that differ by 23?

x^2 -24x-108 does not factor with rational coefficients.

Answer:

100,000>56,313 56, 56,313<100,000

Answer:

1/4

Step-by-step explanation:

1/6 + 1/12 = 1/4

Answer:

3/3

Step-by-step explanation:

1/6= to 2/12 and 1 /12 = 2 /6

Step-by-step explanation:

As x increases. f(x) increases so their is a positive linear association.

Answer:

length*breadth*height

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Answer:

[tex]sum \: of \: exterior \: angle \: for \: a \: quadrilateral= 360 \\ x + 5x - 5 + 4x + 20 + 4x - 5 = 360 \\ x \: terms \: togather \\ x + 5x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 350 \\ x = 25 \\ thank \: you[/tex]

At centroid medians bisect each other in the ratio 2:1

[tex]\\ \sf\longmapsto OC=2(OD)[/tex]

[tex]\\ \sf\longmapsto 2(3x-2)=5x[/tex]

[tex]\\ \sf\longmapsto 6x-4=5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=4[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

The value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

In the question, we are given that O is the centroid of triangle ABC, and are asked to find the value of x, for which OD = 3x - 2, and OC = 5x.

We know that the median is divided by the centroid of the triangle in a ratio of 2:1.

Thus, the median CD is divided by the ratio of 2:1 as,

2/1 = OC/OD,

or, 2/1 = (5x)/(3x - 2),

or, 2(3x - 2) = 1(5x) {Cross-multiplying},

or, 6x - 4 = 5x,

or, 6x - 5x = 4,

or, x = 4.

Thus, the value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

Learn more about the centroid of a triangle at

https://brainly.com/question/8059821

#SPJ2

Answer:

[tex]f(1)=70[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Step-by-step explanation:

One is given the following function:

[tex]f(n)=64+6n[/tex]

One is asked to evaluate the function for [tex](f(1))[/tex], substitute [tex](1)[/tex] in place of [tex](n)[/tex], and simplify to evaluate:

[tex]f(1)=64+6(1)[/tex]

[tex]f(1)=64+6[/tex]

[tex]f(1)=70[/tex]

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

[tex]a_n=a_(_n_-_1_)+d[/tex]

Where ([tex]a_n[/tex]) is the evaluator term ([tex]a_(_n_-_1_)[/tex]) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

[tex]a_n=a_(_n_-_1_)+d[/tex]

[tex]a_n=a_(_n_-_1_)+6[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°

Answer:

b = -3

Step-by-step explanation:

-4b + 3(6 - 7b) = 93

-4b + 18 - 21b = 93

-4b - 21b = 93 - 18

-25b = 75

[tex]\sf{b = \frac{75}{ - 25} }[/tex]

b = -3

b = - 3

Step-by-step explanation:

-4b + 3(6-7b) = 93

-4b + 18 - 21b = 93

-25b + 18 = 93

-25b = 93 - 18

-25b = 75

b = 75 : - 25

b = - 3

Answer:

hey

here is the attachment of your question

Answer:

[tex]thank \: you[/tex]

Answer:

Step-by-step explanation:

Coordinates of the points C and D:

The point E has coordinates of (x, y).

The point E is at 3/4 of CD from C and 1/4 of CD from the point D.

Find coordinates of E:

Answer:

8

Step-by-step explanation:

the relationship of one "unit" (bolt) of cloth to 47 people makes this number (47 people) also an unit.

to answer the question we need to find out, how many units fit into the target.

how do we do that ? by division.

when we divide a/b, then we are actually asking, how many times does b fit into a.

so, how many bolts are needed for 376 people ?

well, how often does 47 fit into 376 ? how often can we build groups of 47 people out of the 376 ?

the answer

376 / 47 = 8

so, 8 bolts are needed.

Answer:

1 bolts = 47 people

so, 47+47+47+47+47+47+47+47= 376 people

The answer is 8 bolts

Step-by-step explanation: Answer is

(i). 19% or 14/75

(ii) 28% or 7/25

We are asked to find multiple probabilities.

We got to find the number of combinations posible,

Use the combinations formula

[tex]c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial} [/tex]

For math this is read as,

if n choose r,( r+n-1)!/r!(n-1)!.

Where r is how many things we need from and n is the number of things we choose from.

We need 2 things and we have 24 objects to pick from.

So r=2 N equal=24

Which equal

25!/2!(23)!

Which equals

[tex]300[/tex]

So there are 300 possible combinations.

Using

For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.

[tex]14 \times 4 = 56[/tex]

So this means the probability is

[tex] \frac{56}{300} = \frac{14}{75} [/tex]

Which is 19%

For the 2nd question, the can multiply the number of minor articles by major articles.

[tex]6 \times 4 = 24[/tex]

So the probability

is

[tex] \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

Which is equal to 8%

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

[tex]\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0[/tex]

Therefore, by the series divergence test, the series [tex]\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}[/tex] diverges.

EDIT: To VectorFundament120, if [tex](x_n)_{n\in\mathbb N}[/tex] is a sequence, both [tex]\lim x_n[/tex] and [tex]\lim_{n\to\infty}x_n[/tex] are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

Answer:

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]

General Formulas and Concepts:

Calculus

Limits

Series Convergence Tests

Step-by-step explanation:

*Note:

Always apply the nth Term Test as the first test to use for convergence.

Rules:

Step 1: Define

Identify

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2}[/tex]

Step 2: Find Convergence

∴ by the nth Term Test, the series diverges.

Topic: AP Calculus BC (Calculus I + II)

Unit: Convergence Tests

Answer:

(6, 6)

Step-by-step explanation:

T (-1, 2) = move down 1, right 2

(1, 4) turns into (3, 3)

Dilation scale factor = 2

Multiply x and y value by 2

(3, 3) = (6, 6)

Answer:

a

Step-by-step explanation: