What five key factors of a quadratic graph can be identified?

Answer:

The roots of x^3 −2=2x^2 −x can be found by using the cubic formula to solve this polynomial equation. The roots are -2, 1, and 2/3.

Step-by-step explanation:

(D) is the correct answer. The net force on a current loop in a uniform magnetic field is zero. With a homogeneous magnetization, the net force on any plane-shaped current-carrying loop is zero.

The net torque on something like a previous loop of any shape in a constant magnetic field is computed using =B = B, where B is the magnetic field strength.

Why is there no net magnetic force in a closed loop?

Assumption: Under a uniform magnetic field, the net force on a closed circular conductive loop is zero. Reason: When ever a conducting spherical ring is put in a homogeneous magnetic field such that the magnetism is parallel to the surface of the loops, the torque is produced is zero.

To know more about parallel click here

brainly.com/question/28766787

#SPJ4

Answer:

2 eat away

Step-by-step explanation:

1 they do not react with metals

have a nice day

Answer:

A. -∞ < x < ∞

Step-by-step explanation:

The domain of a function is the set of all possible inputs (x values).  We see from the graph that the function extends forever to the left and to the right.  Thus, the domain of the function is all real numbers, as the function extends on the x-axis towards positive and negative infinity.  A. represents this fact.

The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

(a) The graph given is a straight line that passes through (0, 40) and (10, 240).

The constant rate of change is equivalent to the the slope of the line given as,

⇒ (240 - 40)/(10 - 0) = 20

(b) The initial value of the graph is given as the y-intercept of the line.

Which is given as 40.

It might represent the fixed cost.

Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ1

The missing graph is attached here.

9514 1404 393

Answer:

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

Answer: Can you add picture

Step-by-step explanation: It would help

Answer:

2 bus

Step-by-step explanation:

The expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student.

The expected value of a random variable represents the average value of that variable over multiple trials. In this case, x is a random variable representing the number of students on the bus carrying the randomly selected student, and y is a random variable representing the number of students on the randomly selected bus.

The expected value of x can be calculated as follows:

E[x] = (10/100)×10 + (20/100)×20 + (30/100)×30 + (40/100)×40

= 16 + 12 + 9 + 16

= 53/4

= 13.25

This means that, on average, the bus carrying the randomly selected student would have 13.25 students.

The expected value of y can be calculated as follows:

E[y] = (1/4)×10 + (1/4)×20 + (1/4)×30 + (1/4)×40

= 25

This means that, on average, the randomly selected bus would have 25 students.

As expected, the expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student. Since the number of students on the other 3 buses can vary widely, y has a higher expected value than x.

To learn more about expected value here:

brainly.com/question/23509883#

#SPJ11

Given:  The length of the chords are given.

To find: Here we need to identify which of the chord is having shorter length,

Solution: By the given option it is clear that the 13 units is the answer.

Therefore, the shorter of the two chords shown are 13 units.

Answer:

The person above is 13 13 13 13

Step-by-step explanation:

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

Answer:

13

Step-by-step explanation:

Answer: 1. 9:342 Rate: 38 cans per bag

2. 38:152 Rate: 4 tickets per person

3. 2:40 Rate: 20 commercials per hour

Answer:

b

Step-by-step explanation:

The two tanks will contain the same amount of water after 13 minutes and the amount will be 75 gallons .

In the question ,

it is given that

rate at which the water is filling in the green tank = 4 gallons per minute

rate at which the water is filling in the red tank = 5 gallons per minute

amount of water present in the green tank = 23 gallons

amount of water present in the red tank = 10 gallons .

the green tank has (23 - 10) = 13 gallons more water  than red tank .

in 1 minute red tank will fill (5-4) = 1 gallon water more than green tank .

So , the red tank will take 13/1 = 13 minutes to contain same amount of water as of green tank

and amount of water will be

= 23 + 4t

= 23 + 4*13

= 23 + 52

= 75 gallons .

Therefore ,The two tanks will contain the same amount of water after 13 minutes and the amount will be 75 gallons .

Learn more about Equations here

https://brainly.com/question/23264144

#SPJ1

The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Visit to know more about Probability :-

brainly.com/question/13604758

#SPJ11

Answer:

10

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

Answer:

answer is 2/15

Step-by-step explanation:

simplify it

Answer:

Hope this helped!!

Step-by-step explanation:

6/45 U have to find the common number that both the numbers are divisible by. They are both divisible by 3.

6/3/45/3=

   2/15 That is your answer

For 4/26 both the numbers are divisible by 4

So 4/4/36/4=

         1/12 That is your answer

Answer:

Step-by-step explanation:

1. The function f(t) represents the concentration of medication in the bloodstream over time. The function has a parabolic shape, with the maximum value at t = 8 hours.

To find the maximum concentration of the medication, we can set the derivative of the function equal to 0 and solve for t. The derivative of f(t) is:

f'(t) = -30t + 120

Setting this equal to 0 and solving for t, we get:

-30t + 120 = 0

-30t = -120

t = 4

Therefore, the maximum concentration of the medication occurs at t = 4 hours. At this time, the concentration of the medication is:

f(4) = -15(4)^2 + 120(4) = 120 mg

It's important to note that this function represents the concentration of the medication in the bloodstream, not the total amount of medication that has been taken. The total amount of medication taken over a given time period can be found by integrating the function over that time period.

2. To determine the maximum amount of medication in the bloodstream, we need to find the maximum concentration of the medication and then multiply that concentration by the volume of the bloodstream.

We have already determined that the maximum concentration of the medication is 120 mg/L. The volume of the bloodstream in an adult is approximately 5 liters. Therefore, the maximum amount of medication in the bloodstream is:

120 mg/L * 5 L = 600 mg

This is the maximum amount of medication that can be present in the bloodstream at any given time. It's important to note that this amount may be affected by various factors, including the rate at which the medication is metabolized and eliminated from the body.

3. To determine the concentration of medication in the bloodstream after 2 hours, we can substitute 2 for t in the function f(t) and solve for the concentration. The function for the concentration of medication in the bloodstream is:

f(t) = -15t^2 + 120t

Substituting 2 for t, we get:

f(2) = -15(2)^2 + 120(2) = 60 mg/L

Therefore, the concentration of the medication in the bloodstream after 2 hours is 60 mg/L. It's important to note that this represents the concentration of the medication at a specific point in time, not the total amount of medication that has been taken. The total amount of medication taken over a given time period can be found by integrating the function over that time period.

In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

What is Hyperperiod?

Hyperperiod is a recurring sequence of events that occurs when multiple periodic activities or processes converge. It is usually the least frequent amount of time that occurs in periodic activities, which are activities that repeat themselves after a certain amount of time. The hyperperiod is the least common multiple (LCM) of the periods of all the periodic activities in a system.

Therefore, the LCM of 20, 25, and 30 is 300.IllustrationThe following illustration shows the scheduling of three periodic activities using the rate-monotonic scheduling algorithm. The periods of the activities are p1 = 20, p2 = 25, and p3 = 30, respectively.

In this example, the time scale is in units of time slots or ticks. Only the first two hyperperiods are shown in the figure because the schedule repeats after the second hyperperiod. The least common multiple of the periods is 300. The hyperperiod is the time interval in which the activities complete one complete cycle.The activities are scheduled in decreasing order of priority, which is determined by their periods.

The smaller the period, the higher the priority of an activity. It means that activities with shorter periods will execute before activities with longer periods. The execution of the activities is strictly periodic and preemptive. The tasks are allocated on a single processor that executes one activity at a time.Therefore, the task that is affected by the hyperperiod is neither one in Illustration 1.

Learn more about hyperperiod.

brainly.com/question/29988962

#SPJ11

Answer:

b

Step-by-step explanation:

.because -10 plus 4 is -6

Answer:

  an = 1/2n² -1/2n -2

Step-by-step explanation:

You want a formula for the n-th term of the quadratic sequence -2, -1, 1, 4.

Using x = 1, 2, 3 and y = -2, -1, 1 we can write equations for the coefficients a, b, c of the quadratic expression ax² +bx +c.

  a(1²) +b(1) +c = -2

  a(2²) +b(2) +c = -1

  a(3²) +b(3) +c = 1

Subtracting the first equation from the other two, we get ...

  3a +b = 1

  8a +2b = 3

Subtracting twice the first from the second of these, we get ...

  (8a +2b) -2(3a +b) = (3) -2(1)

  2a = 1

  a = 1/2

Then b can be found from ...

  b = 1 -3a = 1 - 3/2 = -1/2

And c can be found from ...

  -2 -b -a = c = -2 -(-1/2) -(1/2) = -2

The formula is ...

  an = 1/2n² -1/2n -2

__

Additional comment

For systems of equations, the solver used in the second attachment works well. It tells us (a, b, c) = (1/2, -1/2, -2) as we found above.

Alternate solution

The first differences of the given terms are ...

  1, 2, 3

And their differences are ...

  1, 1

The coefficient of n² is half this second-difference value: 1/2.

If you subtract 1/2n² from the given terms, you get ...

  -5/2, -3, -7/2, -4

This arithmetic sequence has the formula ...

  a1 +d(n -1)

  -5/2 +(-1/2)(n -1) = -1/2n -2

Adding this to the term we subtracted gives ...

  an = 1/2n² -1/2n -2 . . . . . as above

Answer: 8

Step-by-step explanation

Write as a decimal

7 11/18 is equal to 7.6111

Round the decimal to the nearest whole number:

If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.

If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.

Since 6 is in the tenths place we round up.  7 11/18 can be written as 8 (as whole number)

The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.

What is the distance formula?

The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².

We are given two points as (2,3) and (4,-3).

So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3

Now, substituting these values in the distance formula, we get

d = √(2 - 4)² + (3 + 3)²

Hence, the expression that will give the distance between points is option D.

Learn more about the distance formula from the given link

https://brainly.com/question/30395212

#SPJ1

Full question has been attached below

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

For more such questions on chi-square distribution

https://brainly.com/question/4543358

#SPJ11

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

Answer:

The answer is (A.)

Step-by-step explanation:

4 x 9 = 36

6 x 9 = 54

8 x 9 = 72

Using mathematical operations, the standard form of the following operations are:

(A) (7 – 18i) – (5 – √-81): 12 - 9i

(B) (9 + 2√(6)i) (9 – 2√(6)i): 105

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.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).

(A) (7 – 18i) – (5 – ROOT(-81):

(7 – 18i) – (5 – √-81)

7 – 18i – (5 – √-81)

– (5 – √-81) = -5 + i9

17 - 18i - 5 + i9

- 18 + i9 + 17 - 5

- 9i + 17 - 5

-9i + 12

12 - 9i

(B) (9 + 2 ROOT(6)i) (9 – 2 ROOT(6)i)

(9 + 2√(6)i) (9 – 2√(6)i)

Complex arithmetic rule: (a+bi)(a-bi) = a²+b²

9² + (2√6)² = 105

105

Therefore, using mathematical operations, the standard form of the following operations are:

(A) (7 – 18i) – (5 – √-81): 12 - 9i

(B) (9 + 2√(6)i) (9 – 2√(6)i): 105

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ4