Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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Answer:

A and D

Step-by-step explanation:

The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.

Answer and Explanation:

What is given;

Students 27%. (s)

Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.

Explanation:

Multiply 68.22 by 1.2 to get 81.864 or $81.86

The volume of the rectangular prism is 97.5 cubic yards. (option b).

In this case, the rectangular prism has dimensions of 3 yards by 5 yards by 6 and one-half yard. To find its volume, we need to multiply these three dimensions together.

First, we need to convert the height of the prism to yards, as the other two dimensions are already given in yards. We know that 1 yard is equal to 3 feet, so 6 and one-half yards is equal to (6 x 3) + (1/2 x 3) = 18 + 1.5 = 19.5 feet. We then convert this to yards by dividing by 3, which gives us 6.5 yards.

Now, we can find the volume of the rectangular prism by multiplying the three dimensions together:

Volume = length x width x height

Volume = 3 yards x 5 yards x 6.5 yards

Volume = 97.5 cubic yards

Hence the correct option is (b).

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So there is a total of 6 ears, 12 paws, and 3 tails in the room.

Answer:

In the room there should be 6 ears, 12 paws, and 3 tails in total.

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

70÷100×200=140

Step-by-step explanation:

Because 70 is the percentage of 140

Answer:

We have that The average number of minutes it takes her to run 1 mile

From the Question we are told that

Katerina runs 15 miles in 2 1/2 hours

Average number of minutes it takes her to run 1 mile

Generally

Therefore

The average number of minutes it takes her to run 1 mile

In conclusion

The average number of minutes it takes her to run 1 mile

Step-by-step explanation:

Monthly Mortgage Payment is $495.88

Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.

Hence,

Mortgage Amount is $77,000

Monthly Payment for each $1,000 is $6.44

Monthly Mortgage Payment is $495.88

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Answer:

where is your diagram?

Step-by-step explanation:

Answer:

Anything from 8150 to 8249

Answer:

450 x 1.08 ^ X = N

Step-by-step explanation:

Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:

450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle

450 x 1.08 ^ X = N

Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:

450 x 1.08 ^ 5 = N

450 x 1.4693 = N

661.20 = N

Answer:

B

Step-by-step explanation:

Answer:

87.5%

12%

Step-by-step explanation:

7 divided by 8 equals 0.875

Multiply that by 100 to get percent to get 87.5%

6 divided by 50 equals .12

Multiplied by 10p to get percent is 12%

Hopes this helps please mark brainliest

Answer:

87.5%

12%

Step-by-step explanation:

Use a calculator to divide the numerator by the denominator. Then multiply the decimal by 100.

7/8 = 0.875 = 87.5%

6/50 = 0.12 = 12%

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

In order to calculate the probability of P(Z<3), let's add all cases where Z<3:

The minimum value of Z is given when X = 0 and Y = 1, so Z = 1.

The maximum value of Z is given when X = 1 and Y = 2, so Z = 3.

Therefore P(Z = 0) is zero.

Z = 1 can only happen when X = 0 and Y = 1.

Z = 2 can happen when X = 1 and Y = 1 or when X = 0 and Y = 2.

So we can rewrite the expression as follows:

Therefore the correct option is A.

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

Answer: Hope this helps!

Adding and subtracting complex numbers. Just as with real numbers, we can perform arithmetic operations on complex numbers. To add or subtract complex numbers, we combine the real parts and combine the imaginary parts.

Multiplying a complex number by a real number

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

When the roots of a quadratic equation are imaginary, they always occur in conjugate pairs. A root of an equation is a solution of that equation. If a quadratic equation with real-number coefficients has a negative discriminant, then the two solutions to the equation are complex conjugates of each other.

Answer:

5 was right

Step-by-step explanation:

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Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

The circumference is pi times larger than the diameter of a circle.

Step-by-step explanation:

The formula of the circumference of a circle is

C = 2(pi)r = (pi)d

C = (pi)d

To find the ratio of the circumference to the diameter, divide both sides of the equation by d.

C/d = pi

The circumference is pi times larger than the diameter of a circle.

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.

The identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.

Here, we have θ = 11π/12, so we need to express it as the sum of two angles.

In this problem, we are given θ = 11π/12 and we can use the sum of two angles.

11π/12 = π/6 + 5π/6

putting the value of α = π/6 and β = 5π/6.

The sum formula of the tangent becomes;

tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)

Let's put in the values of α and β:

tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))

The tangent of π/6 and 5π/6 will have values as;

tan(π/6) = √3/3

tan(5π/6) = -√3/3

Let's put in these values into the sum formula;

tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))

tan(11π/12) = 0 / (1 - (-3/9))

= 0 / (1 + 1/3)

= 0 / (4/3)

= 0

Therefore, tan(11π/12) = 0.

Part B;

Using difference formula, the value of cosθ can be expressed using the trigonometric identity

cos(α - β) = cosα * cosβ + sinα * sinβ

Since we are given θ = 11π/12;

Let's express this as the difference of two angles

11π/12 = 3π/4 - π/6

Putting the value α = 3π/4 and β = π/6.

Using the difference formula for cosine;

cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ

Let's plug in the values of α and β

cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)

The known values of cosine and sine for 3π/4 and π/6 are;

cos(3π/4) = -√2/2

cos(π/6) = √3/2

sin(3π/4) = √2/2

sin(π/6) = 1/2

Plugging these values into the difference formula;

cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)

cos(11π/12) = -√6/4 + √2/4

Combining like terms:

cos(11π/12) = (-√6 + √2) / 4

Therefore, cos(11π/12) = (-√6 + √2) / 4.

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Step-by-step explanation:

= 700 + 500 + 100 - 300

= 1200 + 100 - 300

= 1300 - 300

= 1000

Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

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