Understand that polynomials form a system analogous to the integers, namely, they

are closed under the operations of addition, subtraction, and multiplication; add,

subtract, and multiply polynomials.

What does it mean to say that polynomials form a system analogous to integers, as

related to closure?

Answer:
It’s 367 tell me if I’m wrong

What is the quotient of 28 divided by 7 increased by 4

A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Which quadratic relation has a y-intercept of 8?O y = 0.5(x + 2)(x + 4)O y = 0.5 (x - 2)(+ 8)O y = 0.5(x2 -2x - 16)O y = 0.5 (x2 -2x + 16)

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor. a. Write the differential equation satisfied by y in terms of proportionality k. b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days. c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.

An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is the probability that yield strength is at most 40? Greater than 62? (Round your answers to four decimal places.) at most 40 greater than 62 (b) What yield strength value separates the strongest 75% from the others? (Round your answer to three decimal places.)

A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Which quadratic relation has a y-intercept of 8?O y = 0.5(x + 2)(x + 4)O y = 0.5 (x - 2)(+ 8)O y = 0.5(x2 -2x - 16)O y = 0.5 (x2 -2x + 16)

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor. a. Write the differential equation satisfied by y in terms of proportionality k. b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days. c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.

An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is the probability that yield strength is at most 40? Greater than 62? (Round your answers to four decimal places.) at most 40 greater than 62 (b) What yield strength value separates the strongest 75% from the others? (Round your answer to three decimal places.)

**Answer: The first choice should be correct **

**Step-by-step explanation:**

Well I hope this is correct

Option C or they are alternate interior angles is correct.

When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

so... our numbers... let's say the first one is hmmm "a"

so the second and subsequent are

a

a+1

a+2

a+3

a+4

there, 5 consecutive whole numbers or integers for that matter

now, we know the sum of the square of the first three,

is the same as the sum of the square of the last two

so

do a binomial theorem expansion on those, solve for "a"

so the second and subsequent are

a

a+1

a+2

a+3

a+4

there, 5 consecutive whole numbers or integers for that matter

now, we know the sum of the square of the first three,

is the same as the sum of the square of the last two

so

do a binomial theorem expansion on those, solve for "a"

**Answer: It's 22.85 East**

**Step-by-step explanation:**

Took the test and got a 100%

**Answer: **22.85

Step-by-step explanation:

if she starts out 8.5 mile WEST of a zoo, and has to go 14.35 miles EAST of the zoo, then add both of those numbers, and you get, 22.85 miles

**Answer:**

Knowing that those vectors start at the point (0,0) we can "think" them as lines.

As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.

A) the vectors are: (√3, 1) and (-√3, -1)

You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)

Because we know that our vectors also pass through the point (0,0)

then the slopes are:

(√3, 1) -----> s = (1/√3)

(-√3, -1)----> s = (-1/-√3) = (1/√3)

The slope is the same, so the vectors are parallel.

Part B:

The vectors are: (2, 3) and (-3, -2)

the slopes are:

(2, 3) -----> s = 3/2

(-3, -2)----> s = -2/-3 = 2/3

the slopes are different, so the vectors are not parallel.

∥v∥=√((6)^2+(-8)^2)=√(36+64)=√100=10. Dividing v by its **magnitude**, we get the unit vector u=(v/∥v∥)=(6i−8j)/10=(3/5)i−(4/5)j. Therefore, two unit **vectors parallel** to v are (3/5)i−(4/5)j and −(3/5)i+(4/5)j.

a. Two unit vectors parallel to v=6i−8j can be found by **dividing **the vector v by its magnitude. The magnitude of v can be calculated using the formula ∥v∥=√(v1^2+v2^2), where v1 and v2 are the components of v in the x and y directions, respectively. In this case, v1=6 and v2=−8. Thus,

b. To find the value of b when v=⟨1/3,b⟩ is a unit vector, we need to calculate the magnitude of v and set it equal to 1. The magnitude of v is given by ∥v∥=√((1/3)^2+b^2). Setting this equal to 1, we have √((1/3)^2+b^2)=1. Squaring both sides of the **equation**, we get (1/3)^2+b^2=1. Simplifying, we have 1/9+b^2=1. **Rearranging **the equation, we find b^2=8/9. Taking the square root of both sides, we get b=±(2√2)/3. Therefore, the value of b when v is a unit vector is b=(2√2)/3 or b=−(2√2)/3.

c. To find all values of a such that w=ai−a/3j is a unit vector, we need to calculate the magnitude of w and set it equal to 1. The magnitude of w is given by ∥w∥=√(a^2+(-a/3)^2). Setting this equal to 1, we have √(a^2+(-a/3)^2)=1. Simplifying, we get a^2+(a^2/9)=1. **Combining **like terms, we have (10/9)a^2=1. Dividing both sides by 10/9, we get a^2=(9/10). Taking the square root of both sides, we have a=±√(9/10). Therefore, the values of a such that w is a unit vector are a=√(9/10) or a=−√(9/10).

Learn more about **vectors parallel** here:

brainly.com/question/33613848

#SPJ11

**Solution:**

Given that we have to simplify:

---- eqn 1

We know that,

**Substitute the above identity in eqn 1**

**Simplify the above expression**

------- eqn 2

**By the trignometric identity,**

**Substitute the above identity in eqn 2**

Cancel the common factors in numerator and denominator

**Thus the simplified expression is:**

**Answer:**

C

**Step-by-step explanation:**

3x+2-x>8

2x+2>8

2x>8-2

2x>6

x>3

**Answer:**

C

**Step-by-step explanation:**