If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18

Answer:

The average points received by those students who did not pass the test successfully would be 4 points.

Step-by-step explanation:

Step 1: We know that all students wrote the test and received an average of 6 points.

Step 2: We also know that 60% of those students passed the test successfully and received an average of 8 points.

Step 3: This means that the remaining 40% of students did not pass the test successfully.

Step 4: Since the average points for all students was 6 points and the average points for those who passed the test was 8 points, the average points for those who did not pass the test would be 4 points.

Answer:

18.84m

Step-by-step explanation:

The diameter=12m

To get the radius, the diameter has to be divided by 2

Radius=diameter/2

Radius=12/2=6m

Perimeter=3.14 x 6

=18.84m

A system is characterized 4 x 10^-3 dy/dt+ 3y = 5 cos(1000t) - 10 cos(2000t). dt Determine y(t). (Hint: Apply the superposition property of LTI systems.) Answer(s) in Appendix F.

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Step-by-step explanation:

The scalar projection of a vector b onto a vector a is given by the dot product of b and the unit vector of a:

p = (b · u) * u

where u is the unit vector of a, and can be found by dividing a by its magnitude:

u = a / ||a||

The vector projection of b onto a is simply the scalar projection scaled by the unit vector:

p = p * u

For the given vectors a = ⟨-5,12⟩ and b = ⟨4,6⟩, we first find the unit vector u:

u = a / ||a|| = ⟨-5,12⟩ / ||⟨-5,12⟩|| = ⟨-5/13,12/13⟩

Next, we find the dot product of b and u:

p = (b · u) = ⟨4,6⟩ · ⟨-5/13,12/13⟩ = (4 * -5/13) + (6 * 12/13) = -20/13 + 72/13 = 52/13

So the scalar projection of b onto a is p = 52/13.

Finally, we find the vector projection by scaling the unit vector u by the scalar projection:

p = p * u = (52/13) * ⟨-5/13,12/13⟩ = ⟨-52/169,104/169⟩

So the vector projection of b onto a is p = ⟨-52/169,104/169⟩.

Answer:

Option A is the correct

Step-by-step explanation:

a=d+c/b

Now we have to solve for d

Multiplying b on both sides

a*b=d+c/b*b

ab=d+c

ab-c=d

I hope this will help you:)

Answer:

B

Step-by-step explanation:

Answer: 10y - 3

Step-by-step explanation:

We just add the "+" sign between the two.

So we get:

8y - 6 + 2y + 3

The y terms are like, so we do :

(8y + 2y) - 6 + 3

Which is:

10y - 6 + 3

The integers are like (common), so we do:

10y (-6 + 3)

Which is :

10y - 3    

It is - 3 because -6 + 3 = -3, and we also add the "-" with the integer

So our final answer is=

10y - 3

The given function is solved using the power rule. The nth derivative of the given function f(x)=xⁿ is  \(f^{(n)}(x) = n!x^{n-n }= n!\).

The power rule instructs how to differentiate xⁿ. It is used to determine the slope of polynomial functions as well as any other function with a real number exponent.

The given function is considered a power function. This is because the x is raised to the power (n). This n is considered a real number. So the derivative of this function is derived using the power rule.

First, differentiating the given function as follows,

\(\begin{aligned}f'(x)&=nx^{n-1}\\f''(x)&=n(n-1)x^{n-2}\\f'''(x)&=n(n-1)(n-2)x^{n-3}\end{aligned}\)

So observing the pattern, the nth derivative is found as follows, \(f^{(n)}(x) = n!x^{n-n }= n!\)

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The complete question is -

Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.

f(x)=xⁿ

Answer:

D.An account earming interest compounded daily ​

Step-by-step explanation:

An account earning interest compounded daily would have accumulated the greatest value at the end of the year.

Answer: D! On edge 2021

Step-by-step explanation:

I just took the test :)

All of your answers are correct

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero. This is because the deviation of every value from the mean is zero. Therefore, the standard deviation of the given data set is zero.

In statistics, the standard deviation (SD) is a measure of how much the data is spread out from the mean, or how much the data deviates from the average value. It is calculated by finding the square root of the variance.Variance (σ2) is a measurement of the degree to which a set of data deviates from the mean. In other words, variance is a measure of how much the data is spread out. It is defined as the average of the squared differences from the mean.The formula for calculating the variance is

:σ2 = Σ(x - μ)2/N

where Σ represents the sum, x is the value of the observation,

μ is the mean of the observations, and

N is the total number of observations.

The standard deviation formula is the square root of the variance.

Therefore,σ = √σ2 = √Σ(x - μ)2/N

The given data set is {12, 12, 12, 12, 12, 12, 12}.

The mean of this data set is:(12+12+12+12+12+12+12) / 7 = 12

The deviation of every value from the mean is zero. Therefore, the variance of the given data set is zero. The standard deviation formula is the square root of the variance. Therefore, the standard deviation of the given data set is zero.

The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero.

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Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.

Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.

To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:

1. Draw a line segment PQ of length 7.5 cm using a ruler.

2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.

3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.

4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.

5. Connect points P and Q with a straight line segment to complete triangle PQR.

6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.

7. Connect points P and S to form the line segment PS.

8. Measure the length of line segment PS using a ruler.

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Answer:

2. 2

3. 4

4. 3/4

5. 5/12

6. 6

7. 1/2

It would take a car 5 hours to cover 200 km at a speed of 40 km/h.

The car moves at a constant speed of 40 km/hr.

The car has to travel a total distance of 200 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

So t = d/s hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

time t = 200/40 = 5 hours

Hence it can be said that the car would cover 200 km at the speed of 40 km/hr in 5 hours.

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The y-values of  y1, y2, y3, and y4 are -3.5, -4.96875, -7.14551, and -9.72074 by using Euler's method of the equation  y′=−1+3x+4y

Step size = 0.25

initial-value =  y′=−1+3x+4y

We can use Euler's method with step size h = 0.25 as follows:

y0 = -2

x0 = 0

y1 = \(y0 + hf(x0, y0)\)

y1 = \(-2 + 0.25(-1 + 30 + 4(-2))\)

y1 = -3.5

x1 = x0 + h

x1 = 0 + 0.25

x1 = 0.25

y2 = \(y1 + hf(x1, y1)\)

y2 = \(-3.5 + 0.25(-1 + 30.25 + 4(-3.5))\)

y2 = -4.96875

x2 = x1 + h

x2 = 0.25 + 0.25

x2 = 0.5

y3 = \(y2 + hf(x2, y2)\)

y3 = \(-4.96875 + 0.25(-1 + 30.5 + 4(-4.96875))\)

y3 = -7.14551

x3 = x2 + h

x3 = 0.5 + 0.25

x3 = 0.75

y4 = \(y3 + hf(x3, y3)\)

y4 =\(-7.14551 + 0.25(-1 + 30.75 + 4(-7.14551))\)

y4 = -9.72074

Therefore, we can conclude that the y-values of  y1, y2, y3, and y4 are -3.5, -4.96875, -7.14551, and -9.72074.

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Answer:

?

Step-by-step explanation:

Answer: c

Step-by-step explanation:

A p e x

Answer:

1.56

Step-by-step explanation:

just do 8.75x1.05, then multiply that number by .17.

please mark as brainlest.

Answer:

True

Step-by-step explanation:

A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.

Answer:

1. acute angle (less than <90)

2. right angle (approximately <90)

3. obtuse angle (more than <90)

4. acute angle (less than <90)

the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%

The problem of calculating the probability of a certain pattern of birthdays among a group of people can be approached using the techniques of combinatorics and probability. To calculate the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people, we can use the following steps: First, we need to choose which 4 months will have exactly 2 birthdays and which 4 months will have exactly 3 birthdays. There are 12 months to choose from, so the number of ways to make these choices is given by the binomial coefficient: C(12, 4) × C(8, 4). This is the number of ways to choose 4 months out of 12 to have exactly 2 birthdays, multiplied by the number of ways to choose 4 months out of the remaining 8 to have exactly 3 birthdays. Next, we need to assign the people to the months. To do this, we can use the principle of inclusion-exclusion, which states that the number of ways to assign the people to the months so that each of the chosen months has the correct number of birthdays is: N = (20!/(2!²× 3!⁴)) × (4¹² - 6 × 3¹² + 4 × 2¹²). This expression counts the number of ways to distribute the 20 people among the 12 months so that the chosen months have the correct number of birthdays, and subtracts the cases where one or more of the chosen months have too many or too few birthdays. The factor (20!/(2!⁸ × 3!⁴)) accounts for the fact that we are counting distinguishable arrangements of people. Finally, we can calculate the probability of the desired pattern of birthdays by dividing the number of favorable outcomes (N) by the total number of possible outcomes, which is simply the total number of ways to assign the people to the months, given by: 12²⁰. Putting it all together, we get: P(4 months with 2 birthdays, 4 months with 3 birthdays) = N / 12²⁰. Evaluating this expression gives: P(4 months with 2 birthdays, 4 months with 3 birthdays) ≈ 0.000008. Therefore, the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%.

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Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

d is the answer

Step-by-step explanation:

Answer:

(0,a)

Step-by-step explanation:

f(x) = a * b^x

Let x=0

f(0) = a * b^0

      = a * 1

      =a

(0,a)