Find the discriminant of

a) limit point of a set A is 1

b) set A is neither open nor closed

c) all the element of set A are isolated point except -1 and 1

Let A={(−1)^n+2/n :n=1,2,3,.....} and B={x∈Q:0<x<1}

Answer the following questions for each set:

a) What are the limit points?

b) is the set open? closed?

c) does the set contain any isolated points?

a) the limit point of a set A are -1 and 1

-1 does not belong to set A

1 belong to set A

Therefore limit point of a set A is 1

b) A set is open if every point in is an interior point. A set is closed if it contains all of its boundary points

thus set A is neither open nor closed

c) a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood of x which does not contain any other points of S.

all the element of set A are isolated point except -1 and 1

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The number of hours it would take Ganymede to complete a full rotation is 171.25 hours.

The first step is to convert days to hours. A day is equivalent to 24 hours. In order to convert days to hours, multiply 7 by 24.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

1 day = 24 hours

24 x 7 = 168 hours

The second step is to convert minutes to hours, In order to do this, divide 15 by 60. Division is the process that is used to determine the quotient of two or more numbers.

60 minutes = 1 hour

15 / 60 = 0.25 hours

Now, add all the converted hours together. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Total hours = 168 hours + 3 hours + 0.25 hours = 171.25 hours

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The average change in the temperature per hour is -1.5°F.

Average:

Average means a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Given,

On a cold day, the temperature in a certain city changed −14.4°F over 9.6 hours.

Here we need to find the average change in temperature per hour.

To find the average temperature we have to divide the given two temperature.

Temperature change in 9.6 hour = -14.4°F

So, the average change is calculated as,

=> temperature / hour

=> -14.4 / 9.6

=> -1.5°F

Therefore, the average change in temperature is -1.5°F per hour.

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The average change in the temperature per hour is -1.5°F.

Average:

Average means a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Given,

On a cold day, the temperature in a certain city changed −14.4°F over 9.6 hours.

Here we need to find the average change in temperature per hour.

To find the average temperature we have to divide the given two temperature.

Temperature change in 9.6 hour = -14.4°F

So, the average change is calculated as,

=> temperature / hour

=> -14.4 / 9.6

=> -1.5°F

Therefore, the average change in temperature is -1.5°F per hour.

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Answer:

m∠Y  = 40°

Step-by-step explanation:

The sum of the three angles of a triangle must equal 180°

Thus

m∠W + m∠X + m∠y = 180°

→   (10x + 17) +  (2x - 9) + (3x + 7) = 180

→   10X + 17 + 2X + 9 + 3X + 7 = 180

Collecting like terms
→  10X + 2X + 3X + 17 - 9  + 7  = 180°

→ 15x + 15 = 180

Subtract constant 15 from both ssides:

→ 15x + 15 - 15 = 180 - 15

→ 15x = 165

Divide both sides by 15

→ 15x/15 = 165/15

→ x = 11

m∠Y = 3x + 7

m∠Y = 3 x 11 + 7

m∠Y  = 33 + 7

m∠Y  = 40°

Answer:

Proved.

Step-by-step explanation:

l // m and p is transversal.

    ∠1 ≅ ∠3   ----------(I)   {Corresponding angles}

p // q and l is transversal.

   ∠3 ≅ ∠2   -------(II) {Corresponding angles}

From (I) & (II),

      ∠1 ≅ ∠2

Hence proved.

To prove ∠1 = ∠2

In a plane, parallel lines are those whose distances between them are constant. Lines that are parallel never cross. Lines that cross at a straight angle (90 degrees) are said to be perpendicular.

Given: l II m and p II q

According to the properties of parallel lines

∠1 and ∠ 3 are equal because l II m therefore ∠1 and ∠ 3 are corresponding angles.

Since  p II q therefore ∠3 = ∠2 { angles present on the same sides of the parallel lines called corresponding angles are equal }.

Thus since ∠1= ∠3 and ∠3=∠2 therefore we can say that ∠1 = ∠2.

Hence proved.

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Answer:

2x(2x + 7)(3x - 1).

Step-by-step explanation:

12x^3 + 38x^2 - 14x

= x(12x^2 + 38x - 14)

= 2x(6x^2 + 19x - 7)

To factor the expression in the parentheses we need 2 numbers whose product is (6 * -7) = - 42 and whose sum = +19.

These are +21 and - 2.

So, we write:

6x^2 - 2x + 21x - 7

= 2x(3x - 1) + 7(3x - 1)

= (2x + 7)(3x - 1)

So, the answer is 2x(2x + 7)(3x - 1).

Answer:

[tex]2x(3x-1)(2x+7)[/tex]

Step-by-step explanation:

[tex]12x^3+3x^2-14x\\[/tex]

Factor out common factor: (2x)

[tex]=2x(6x^2+19x-7)[/tex]

Factor [tex]6x^2+19x-7[/tex]

[tex]= 2x(3x-1)(2x+7)[/tex]

Hope this helps! :) Sorry for the late reply

Answer:

cars= 32 , trucks= 55

Step-by-step explanation:

add all the cars up then the trucks

Answer:

figure out how to get 180% from those 3 points

Step-by-step explanation:

Answer:

9/11, 8/9, 0.79, 81%

Step-by-step explanation:

i don't know how to explain but this is pretty much how you'd do it

He can find out by using mathematical operation - subtraction.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied. A constant is an operation with arity zero, often known as a nullary operation. An example of an operation of arity 3, sometimes known as a ternary operation, is the mixed product.

The arity is typically assumed to be limited. Even yet, infinitary operations are occasionally taken into account, in which case the "typical" operations of finite dimensionality are referred to as finiteary operations.

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Answer:

y + 9 = [tex]\frac{1}{7}[/tex](x+4)

Step-by-step explanation:

Point slope form: y − y1 = m(x − x1)

First, we find the slope (m):

m = [tex]\frac{y2-y1}{x2-x12} = \frac{-8-(-9)}{3-(-4)} = \frac{1}{7}[/tex]

Now insert your points and slope into the form:

y + 9 = [tex]\frac{1}{7}[/tex](x+4)

Answer:

x = -3 and y = 6

Step-by-step explanation:

by plugging the function (y = 3x + 15) into the y value in the function (3x + 3y = 9), you can then solve to find that x = -3

After solving for the x-value, plug -3 into the easiest equation to solve for the y-value (y = 3x + 15) to then find that y = 6

This is method of solving is called substitution

Check the picture below.

Answer: the number of teachers are 14.4 and the amount of students that don’t own laptops of 5400

Step-by-step explanation:

The volume of the cone, to the nearest whole number, is: 50 cm³.

The volume of a cone is defined as the amount of space it contains. The volume can be calculated using the formula:

Volume of cone = 1/3 × π × r² × h, where h is the height of the cone, and r is the radius of the cone.

Given the parameters:

Plug in the values:

Volume of the cone = 1/3 × π × 4² × 3

Volume of the cone = 1/3 × π × 16 × 3

Volume of the cone = 16π

Volume of the cone = 50 cm³

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It will take them 36 minutes to drive 24 miles.

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Because of this, the goal of this method is to determine values in reference to a single unit. For instance, we can use the unitary technique to determine how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.

Given Data

Tim and his sister drove 18 miles in 27 minutes.

They drove 1 mile in :

18 mile = 27 minutes

1 mile = [tex]\frac{27}{18}[/tex] minutes

1 mile = 1.5 minutes

For 24 miles,

1 mile = 1.5 minutes

24 miles = 1.5(24) minutes

24 miles = 36 minutes.

It will take them 36 minutes to drive 24 miles.

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The equivalent expressions to 5(1/3x + 7) - 3(1/2x - 4) include C. 1 2/3x + 35 - 1 1/2x + 12

It should be noted that an expression simply shows the relationship between the variables.

In this case, the value of the expression illustrated will be:

5(1/3x + 7) - 3(1/2x - 4)

= 5/3x + 35 - 3/2x + 12

= 5/3x - 3/2x + 35 + 12

= 10/6x - 9/6x + 47

= 1/6x + 47.

Therefore, the equivalent expressions to 5(1/3x + 7) - 3(1/2x - 4) will be 1 2/3x + 35 - 1 1/2x + 12. This was illustrated based on the information given as it has the final value of 1/6x + 47.

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Answer: A

180-130= <D

50=<D

50+70= 120

180-120=<B

60=<B

m<BCD= 70

m<DBC= 60

70-60=10

Answer:

О A = 10°

Step-by-step explanation:

∡ DBC = 180 - 130 = 50°

∡ DBC + ∡ CBD + ∡ BCD = 180°

50° + 70° + ∡BCD = 180°

∡BCD = 180° - (50°+70°)

∡BCD = 180° - 120°

∡BCD = 60°

Then:

∡BCD - ∡DBC = 60° - 50° = 10°

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:B. \:\: - \dfrac{1}{18} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given equation of a line is in its slope intercept form, that is :

[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]

The original equation is :

[tex]\qquad \tt \rightarrow \:y = 18x + 5[/tex]

by comparing the two equations we get slope (m) of this line equal to 18

we need to find the slope (n) of line perpendicular to this.

By the property of perpendicular lines, we know :

[tex]\qquad \tt \rightarrow \:m \times n = - 1[/tex]

[tex]\qquad \tt \rightarrow \:18 \times n = - 1[/tex]

[tex]\qquad \tt \rightarrow \:n = - \cfrac{1}{18} [/tex]

So, slope of required line is -1/18

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer: -1/18

Step-by-step explanation:

Let y=k₁x+b1 be the line. Given the perpendicularity of lines, the equation of the line perpendicular to the given line has the form:

                                       [tex]\displaystyle\\y=-\frac{1}{k}x+b_1[/tex]

[tex]\displaystyle\\So,\ y=18x+5\\\\\Rightarrow\ -\frac{1}{18}[/tex]

The cost for making the container if steel costs $2.95/m and aluminum costs $1.57/m is  $28. 27

Based on the information given, we have that;

We also have the following deductions;

The properties of a square prism include;

The cost for aluminum = 10($1.57)

Multiply the values by expanding the

The cost for aluminum = $10. 57

The cost for steel = 6($2.95)

Multiply through, we have;

The cost for steel = $17. 7

Total cost for the container = Cost of steel + cost of aluminum

Total cost for the container = $10. 57 +  $17. 7

Total cost for the container = $28. 27

Thus, the value of the cost is $28. 27

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Answer:

6 and 9.

Step-by-step explanation:

Answer:

10 popcorn orders

Step-by-step explanation:

[tex]10 + 4.55 x = 8 + 4.75x \\ 4.55x - 4.75x = 8 - 10 \\ - 0.2x = 8 - 10 \\ - 0.2x = - 2 \\ x = \frac{ - 2}{ - 0.2} \\ x = 10[/tex]

Answer:

option (e) 8

Step-by-step explanation:

using identity

==>1/(a^(-x))=a^x()

=(1/2)^(-3)

=(2)^3

=2*2*2=8

option (e)

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Answer:

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

y=139

Step-by-step explanation:

add 59 to 80