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The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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Answer:

B

Step-by-step explanation:

(48x-50y)-(35x-5y)

48x-50y-35x+5y

13x-45y

Answer:

fsfdsesdfsesd 'jp

Step-by-step explanation:

efsdsfefsggsesds

Answer:

2

Step-by-step explanation:

To get the slope you must subtract the second y-coordinate and the first y-coordinate (of the 2 given points) and divide that by the difference of second x-coordinate and first x-coordinate (of the 2 given points).

y-coordinate 2 - y-coordinate 1

--------------------------------------------- <----- fraction bar/ divide

x-coordinate 2 - x-coordinate 1

3 - 1 2

------ = ---- = 2

1 - 0 1

Slope = 2

Answer:

None of those answers contain a polynomial of degree 4. None have a leading coefficient of 9.

Step-by-step explanation:

The degree of such a polynomial is equal to the highest exponent on x.

The leading coefficient is the coefficient for the highest exponent of x.

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

13/4

Step-by-step explanation:

_______________________________

Answer:

square of the following

2×2=4

3×3=9

4×4=16

2×2×2=8

now

square root

√4

√2×2

=2 answer likewise other

again

cube root

√8

=√2×2×2

=2 through that you can find these

at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer

5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

Equation of line p:

[tex]{\sf{2x - 3y = 4}}[/tex]

[tex]{\sf{y = \frac{2x}{3} - \frac{4}{3}}}[/tex]

Slope of line p (m):

[tex]{\sf{\frac{2}{3}}} [/tex]

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

[tex]{\sf{m \times m2 = - 1}}[/tex]

[tex]{\sf{ \frac{2}{3} \times m2 = - 1}}[/tex]

[tex]{\sf{m2 = \frac{ - 3}{2}}}[/tex]

Since, line l passes through points (6, 0).

We apply,

[tex]{\sf{(y - y1) = m2(x - x1)}}[/tex]

[tex]{\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} [/tex]

[tex]{\sf{2y - 0 = - 3x + 18}}[/tex]

[tex]{\sf{3x + 2y - 18 = 0}}[/tex]

The equation of line l:

[tex]{\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}[/tex]

The general term of the function is y = 4000 + 100x

The given parameters are

Guaranteed = $4000

Monthly raise = $100

Let the number of months be x, and the total earning be y

So, we have:

y = Guaranteed + Monthly raise * x

This gives

y = 4000 + 100 * x

Evaluate

y = 4000 + 100x

Hence, the general term of the function is y = 4000 + 100x

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Answer:

28y - 4

Step-by-step explanation:

multiply 28 by everything in the bracket

28y - (28/7)

28y - 4

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

Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |

Step-by-step explanation:

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

2: 4 + v/8 = 3/4

First we have to leave the variable "v" alone and we do the opposite on the other side.

So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4

---> v/8 = -3 1/4

next we do 8 * v/8 = -3 1/4 * 8

We get v = -26

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

3: 2/3 + 3/4k = 71/12

Subtract 2/3 from both sides

= 3/4k = 63/12

Reduce 63/12 to 21/4

= 3/4k = 21/4

Multiply each side by 4/3, the reciprocall of 3/4

then we get k = 21/3

Which means k = 7

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

4: 1/2 + 7/10x = 13/20

Subtact 1/2 from both sides

= 7/10x = 3/20

Multiply each side by 10/7, the reciprocal of 7/10

x = 3 * 10/20 * 7

= x = 30/140

= x = 3/14

It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

Where m is the slope and b is the y-intercept.

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

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Answer:

-6

Step-by-step explanation:

use PEMDAS

start with the exponent: (-4)^2=16

-12 / 3 * (-8 + 16 - 6) +2

then the parentheses: (-8+16-6)=2

-12 / 3 * 2 +2

next is multiplication/division, division comes first so: -12/3=-4

-4 * 2 +2

then multiplication: -4*2=-8

-8+2=-6

Answer:

fifth letter: E

eighth letter: H

third letter: C

Im not sure

1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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A bird flies from a nest that is 822 3/10 feet above sea level to the bottom of a canyon that is 56 1/10 feet below it.

The canyon is 737 feet higher than the bird's nest, by a difference of 3 feet.

based on the facts provided, we know that;

The depth below sea level is 52 3/ 5 feet, hence the value would be negative.

The height above sea level is 789 3/ 10, which requires a positive number.

Let's convert the improper fractions from the mixed fractions;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 ft

the canyon's and the bird's nest's contrasting elevations;

= -52. 6 + 789. 9

Equals 737. 3 feet

Consequently, there is a 737. 3 foot difference in height between the canyon and the bird's nest.

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The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2,  g (x) = StartRoot 2 x EndRoot.

What is squareroot?

Example of a square root-

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Using translation concepts, we have that:

a) The parent function is f(x) = |x|.

b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.

c) The graph is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x|.

The transformations are given as follows:

The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.

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Answer: -1

Step-by-step explanation:

      We will use the Order of Operations to solve;

Given:

-4 + (3)² ÷ (5 + 4) • 3

Addition in parentheses:

-4 + 9 ÷ (9) • 3

Raise to the power of 2:

-4 + 9 ÷ (5 + 4) • 3

Division:

-4 + 1 • 3

Multiplication:

-4 + 3

Addition:

-1

The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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No. of steps in one week = 66000

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

In weekday = 10000

In weekend = 8000

There are 5 weekdays and  2 days in weekend

SO,  5 x 10000 + 2 x 8000

  = 50000 + 16000

   = 66000 steps.

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Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest