Which points
are solutions to the system of inequalities shown below? Check
all that apply.
y> x
y>2
X>4
Help someone asap

Answer:

7.2 times

Step-by-step explanation:

There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:

Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}

Therefore there is a 5 in 36 chance that the sum will be 6.

The expected number of trials to achieve that result is given by:

[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]

On average, it would take 7.2 trials to achieve a sum of 6.

Answer:

see below

Step-by-step explanation:

9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

We are replacing 9 with 10 minus something

9 = 10 -1

9 x 8 = (10 x 8) - ( 1 x 8)

           80 - 8

             72

Answer:

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Step-by-step explanation:

x² / (x + y) = y² + 7

x² = (x + y) (y² + 7)

Take derivative of both sides with respect to x.  Use power rule, product rule, and chain rule.

2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)

Simplify.

2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx

2x = (2xy + 3y² + 7) dy/dx + y² + 7

2x − y² − 7 = (2xy + 3y² + 7) dy/dx

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Answer:

22.62°

Step-by-step explanation:

tan x = 5/12

tan x = 0.416666667

x = arctan(0.416666667)

x = 22.61986983

x = 22.62°

Answer:

There are 0.01 meters in a centimeter.

Step-by-step explanation:

cent means 100th

Hope this helps :)

Answer:

x=9

Step-by-step explanation:

for this sort of a problem, I would set up a proportion

5/25=x/45

multiply both sides by 25 and 45

45*5=x*25

225=25x

x=9

Answer:

Tan B = 24/10 = 12/5

Step-by-step explanation:

Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.

Answer:

=9/2yd³

Step-by-step explanation:

the surface area of a sphere, radius r

S = 4πr²

9 π = 4 π r 2 ⇒ r 2 = 9 π 4 π = 9 4 ∴ r = √ 9 4 = 3 2

The volume of a sphere is

V=43πr3=43×π×(32)3=4×3×3×33×2×2×2π

=9/2yd³

Answer is =9/2yd³ for this question

Please mark brainliest

Hope this helps.

x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

Answer: 57 degrees

Step-by-step explanation: We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.

Answer:

57 degrees

Step-by-step explanation:

We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.

Answer: a) 2401  b) 840 c)343  d)343  e) 686

Step-by-step explanation:

a) Total are 7 letters

There are 4 possible places in 4-letter word for each of 7 letter.

So total amount of the words is

7*7*7*7= 2401

b) No letter can be repeated mens that in 1st place can stay any of 7 letters,

in 2-nd place- any of 6 letters

in 3-rd place- any of 5 letters

in 4-th place any of 4 letters

Total amount of words is

7*6*5*4=840

c)  It is not written if the letters can be repeated. Assume that they can.

1st place occupied by letter A. So at 2-nd, 3-rd and 4th places can stay any of 7 letters

Total amount of words is

1*7*7*7=343

d) Similar case like c). At 1-st ,2-nd, 3-rd can stay any of 7 letters, and at 4th place the letter C (1 letter). Total amount of words is

7*7*7*1=343

e) There are 2 vowels A and E.  

So at 1st place can stay any of 7 letters, at 2-nd place -any of 2 letters, at 3-rd place- any of 7 letters and at 4th place any of 7 letters. Total amount of words is

7*2*7*7=686

The total number of 4-letter words possible is 2401

The total number of 4-letter words possible with no letter repeated is 840

The total number of 4-letter words possible with the first letter being A is  343

The total number of 4-letter words possible with the letter C at the end is 294.

The total number of 4-letter words possible with the second letter being a vowel is 1029.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(a) No condition is imposed:

There are 7 choices for the first letter, 7 choices for the second letter, 7 choices for the third letter, and 7 choices for the fourth letter.

The total number of 4-letter words possible.

7 × 7 × 7 × 7 = 2401

(b) No letter can be repeated in a word:

For the first letter, there are 7 choices.
For the second letter, there are only 6 choices left (since we cannot repeat the first letter). Similarly, for the third letter, there are only 5 choices left, and for the fourth letter, there are only 4 choices left.

The total number of 4-letter words possible with no letter repeated.

7 × 6 × 5 × 4 = 840

(c) Each word must begin with the letter A:

For the first letter, there is only 1 choice (the letter A). For the second letter, there are 7 choices (since any letter can be used).

For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.

The total number of 4-letter words is possible with the first letter being A.

1 × 7 × 7 × 7 = 343

(d) The letter C must be at the end:

For the fourth letter, there is only 1 choice (the letter C).

For the first letter, there are 7 choices (since any letter can be used).

For the second letter, there are 7 choices, and for the third letter, there are 6 choices (since the letter C cannot be used).

The total number of 4-letter words possible with the letter C at the end.

7 × 7 × 6 × 1 = 294

(e) The second letter must be a vowel:

For the first letter, there are 7 choices (since any letter can be used). For the second letter, there are 3 choices (the vowels A, E, and I).

For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.

The total number of 4-letter words possible with the second letter being a vowel.

7 × 3 × 7 × 7 = 1029

Thus,

The total number of 4-letter words possible is 2401

The total number of 4-letter words possible with no letter repeated is 840

The total number of 4-letter words possible with the first letter being A is  343

The total number of 4-letter words possible with the letter C at the end is 294.

The total number of 4-letter words possible with the second letter being a vowel is 1029.

Learn more about expressions here:

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Answer:

A. System of equations:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

B. 5.5 pounds of peanut butter fudge were sold.

Step-by-step explanation:

Given:

Cost of chocolate fudge = $3.20

Cost of peanut butter fudge = $3.00

Total pounds sold = 15.5

Total gross profit = $48.50

C is the number of pounds of chocolate fudge sold.

P is the number of pounds of peanut butter fudge sold.

To find:

System of equations and number of pounds of peanut butter fudge sold = ?

Solution:

As per given conditions:

1. [tex]C+P=15.5[/tex]

Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]

Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]

Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]

So, the system of equations is:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

2. To find P.

Let us solve the equations.

Multiply 2nd equation with 3 and subtracting from 1st equation:

[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]

Putting in 2nd equation:

[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]

So, the answer is:

5.5 pounds of peanut butter fudge were sold.

Answer:

y= -3.7x+100.94

Step-by-step explanation:

Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.

So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)

Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.

Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.

There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.

Answer:

1. A resposta é a opção C.

2. ( a +b )² = a² + 2ab + b² Verdade

( a - b )² = a² - 2ab + b² Verdade

( a + b ) .( a – b) = a² + b² Falso

( a +b)³ = a³ + 3a²b + 3ab² + b³ Verdade

( a -b)³ = a³ - 3a²b + 3ab² - b³ Verdade

3. a.) m² - 14am + 49a² = ( m - 7a)²

b) m2 – 9n² = m² - (3n)² = (m + 3n)(m - 3n)

c) 30+ 5xy + 12a +2axy = (6 + xy)(5 + 2a)

d) 8a²b + 10ab² = 2ab( 4a + 5b)

Espero que isso ajude você

Hey there! :)

Answer:

y = 8.

Step-by-step explanation:

Begin by finding the slope of the equation. Use two points from the table and plug them into the formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4-16}{1-(-2)}[/tex]

Simplify:

[tex]m = \frac{-12}{3}[/tex]

m = -4. This is the slope.

Create an equation in slope-intercept form (y = mx + b) to solve for the y intercept. Plug in the x and y values from another point.

0 = -4(2) + b

0 = -8 + b

Add 8 to both sides:

8 = b. The 'b' value is the y-intercept.

Therefore, the y-intercept of this table is:

y = 8.

Answer:

1/(x^2-6x+8)

Step-by-step explanation:

1. x^2-16=(x-4)*(x+4)

2. x^2+5x+6=(x+2)*(x+3)

So (x+4)/(x^2+5*x+6) *(x+3)/(x^2-16)=

=(x+4)*(x+3)/((x+4)(x-4)(x+2)(x+3))=1/((x-4)(x-2))=1/(x^2-6x+8)

Answer:

$2,160 is what he need for both daughters for 1 year

Step-by-step explanation:

90 x 2 = 180

180 x 12 = 2,160

Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.

Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.

Multiplication is usually denoted as '×' sign.

a × b indicates that a is added repeatedly upto b times.

Cost for the gymnastics per month per child = 90

In order to find the cost per month for both daughters, we need to multiply 90 with 2.

Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180

To find the total cost for an year, we need to multiply 180 with 12.

Total cost for the year = 180 × 12 = 2160

Hence the total budget for Dominic to send both the daughter in a year is 260.

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Answer:

Sum of interior angles of polygon = (n-2)*180

1) Pentagon:

2)Hexagon:

3) Heptagon:

4) Octagon:

Answer:

  see below

Step-by-step explanation:

It can be useful to remember that the angle θ of rotation between the x-y plane and the x'-y' plane is given by ...

  cot(2θ) = (A -C)/B

where the standard form equation is ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

For a 30° rotation, you want ...

  (A -C)/B = cot(2·30°) = 1/√3

Looking at the answer choices, you have ...

  A: (A -C)/B = (3 -(-39))/(42√3) = 1/√3 . . . as required

  B: (A -C)/B = (3 -(-39))/(-12√3) = 7/(2√3)

  C: (A -C)/B = (-39 -3)/(42√3) = -1/√3

  D: AC > 0, not a hyperbola

_____

Based on rotation angle only, the appropriate choice is the first choice. Because the term signs in the x'-y' formula are different, the figure is a hyperbola. In general form, the equation describes a hyperbola when AC<0.

Answer:

the first answer choice is correct!

Step-by-step explanation:

took the test amd got it correct:)) hope this helps:)) have a good day:))

Answer:

39

Step-by-step explanation:

Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.

The solution is: 39 is the perimeter of XYZ.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

Angle AQC, AQB and BQC are 120deg.

(360/3=120).

Therefore, Angle BZC, CXA and AYB are 60deg.

Because, angle BZC is half of angle BQC.

same for the other three angles.

As, all 3 angles are 60deg, it is an equilateral triangle.

So, YZ is 13

therefore as all 3 sides are equal

its 13*3=39.

Hence, 39 is the perimeter of XYZ.

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Answer:

p+2p+3p=180degree(sum of angle of triangle)

6p=180degree

p=180degree/6

p=30degree

here your answer and please support me

Answer:

30, 60, 90

Step-by-step explanation:

p+2p+3p= 180

6p= 180

p=30, 2p= 60, 3p= 90

Answer:

7. f⁻⁻¹(x)=x-3                 11. f⁻⁻¹(x)= 2x/(1-x)

Step-by-step explanation:

to find the inverse of an expression:

1. change f(x) to y.

2. switch the x and y values.

3. solve to find y.

So....                                                              

7.) f(x)=x+3                              11.) f(x)=  x/(x+2)

y=x+3                                            y=x/(x+2)

x=y+3                                            x=y/(y+2)

f⁻⁻¹(x)=x-3                                       f⁻⁻¹(x)= 2x/(1-x)

Answer:

B. 3x+15 / 4x+10

Step-by-step explanation:

[tex]\frac{3x+}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> multiply by the reciprocal

[tex]\frac{3x}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> reduce the expression

[tex]\frac{3}{2x+5}[/tex] X [tex]\frac{x+5}{2}[/tex] -> multiply the fractions

[tex]\frac{3(x+5)}{2(2x+5)}[/tex]       -> remove parenthesis

and you get:

[tex]\frac{3x+15}{4x+10}[/tex]

-Hope this helps :)

Answer:

a.) dx3x² + 2

Use the properties of integrals

That's

integral 3x² + integral 2

= 3x^2+1/3 + 2x + c

= 3x³/3 + 2x + c

= x³ + 2x + C

where C is the constant of integration

b.) x³ + 2x

Use the properties of integrals

That's

integral x³ + integral 2x

= x^3+1/4 + 2x^1+1/2

= x⁴/4 + 2x²/2 + c

= x⁴/4 + x² + C

c.) dx6x 5 + 5

Use the properties of integrals

That's

integral 6x^5 + integral 5

= 6x^5+1/6 + 5x

= 6x^6/6 + 5x

= x^6 + 5x + C

d.) x^6 + 5x

integral x^6 + integral 5x

= x^6+1/7 + 5x^1+1/2

= x^7/7 + 5/2x² + C

Hope this helps

Answer:

Greatest number = 9867

Smallest number = 1027

Step-by-step explanation:

Greatest number:

- - - 7

In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).

9867

Smallest number:

- - - 7

In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).

1027

Answer:

1/7

Step-by-step explanation:

y=-7X

The slope of this line is -7

Perpendicular lines have slopes that multiply to -1

-7 * m = -1

Divide each side by -7

m = -1 / -7

m = 1/7

The slope of the perpendicular line is 1/7

Answer:

1/7

Step-by-step explanation:

Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.

So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).

to find perpendicular slope..

Step 1. Multiple -7 by -1 = 7

Step 2. Flip 7/1 to 1/7

Answer: 1/7 is perpendicular slope

It is D.

you must multiply the second equation by 3, so that the +3y in the first equation can cancel out the (now) -3y in the second equation.

Answer:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex] = 12π

Step-by-step explanation:

The field F is given by:

[tex]F = 3y\hat{i} + y\hat{j}+z\hat{k}[/tex]      (1)

The curve C is the ellipse:

[tex]\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1[/tex]

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.

The general form of an ellipse equation is:

[tex](\frac{x}{a})^2+(\frac{y}{b})^2=1[/tex]

The parametric equation is:

[tex]r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}[/tex]      (2)

The Stokes's theorem is given by the following identity:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex]    

The path integral is also:

[tex]\int F\cdot dr=\int F(r(t))\cdot dr(t)[/tex]      (3)

For F(r(t)) and dr(t) you obtain:

[tex]F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt[/tex]

Next, in the equation (3) you obtain:

[tex]\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi[/tex]

The circulation of the field around C is 12π