Consider the matrices. P=[[2,7],[1,7],[0,4],[-1,-3]] and Q=[[-2],[-3]] What is product matrix PQ? Enter your answer by filling in the boxes PQ

The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

This looks like the same problem you sent already, so I will be copying my original answer.

Function is h(s) = 40-2s

H(2) = 40-(2)(2)

H(2) = 40-4 = 36

Because the function represents height and time, we can say after 2 seconds the height in feet is 36. --> For H(2)

We need to set 40-2s = 30 for h(s)=30

30-40 = -10

-2s = -10 Divide both sides

s = 5

Answer:

-15

Step-by-step explanation:

as i said if the signs are different the result is negative

The area of the surface of revolution generated by revolving the curve y = √x, 0 ≤ x ≤ 4, about the x-axis is 2π(4^(3/2) - 1)/3.

To find the area of the surface of revolution, we can use the formula for the surface area of a solid of revolution. When a curve y = f(x), 0 ≤ x ≤ b, is revolved around the x-axis, the surface area is given by:

A = 2π ∫[a,b] f(x) √(1 + (f'(x))^2) dx,

where f'(x) is the derivative of f(x).

In this case, the curve is given by y = √x and we want to revolve it about the x-axis. The limits of integration are a = 0 and b = 4. We need to find f'(x) to substitute it into the surface area formula.

Differentiating y = √x with respect to x, we have:

f'(x) = (1/2)x^(-1/2).

Now, we can substitute f(x) = √x and f'(x) = (1/2)x^(-1/2) into the surface area formula and integrate:

A = 2π ∫[0,4] √x √(1 + (1/2x^(-1/2))^2) dx

 = 2π ∫[0,4] √x √(1 + 1/(4x)) dx.

Simplifying the expression inside the square root, we have:

A = 2π ∫[0,4] √x √((4x + 1)/(4x)) dx

 = 2π ∫[0,4] √((4x^2 + x)/(4x)) dx

 = 2π ∫[0,4] √((4x^2 + x)/(4x)) dx.

To evaluate this integral, we can simplify the expression inside the square root:

A = 2π ∫[0,4] √(x + 1/4) dx

 = 2π ∫[0,4] √(4x + 1)/2 dx

 = π ∫[0,4] √(4x + 1) dx.

Now, we can use a substitution to evaluate the integral. Let u = 4x + 1, then du = 4 dx. When x = 0, u = 1, and when x = 4, u = 17. Substituting these limits and changing the limits of integration, we have:

A = π ∫[1,17] √u (1/4) du

 = (π/4) ∫[1,17] √u du.

Evaluating this integral, we have:

A = (π/4) [2/3 u^(3/2)] | from 1 to 17

 = (π/4) [(2/3)(17^(3/2)) - (2/3)(1^(3/2))]

 = (π/4) [(2/3)(289√17 - 1)].

Simplifying further, we have:

A = 2π(4^(3/2) - 1)/3.

Therefore, the area of the surface of revolution generated by revolving the curve y = √x, 0 ≤ x ≤ 4, about the x-axis is 2π(4^(3/2) - 1)/3.

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Answer:

0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

the 30th question

Step-by-step explanation:

the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.

The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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Answer:

its f(x) = –x^2 + 2x + 4

Step-by-step explanation:

\(f(x)=-x^2+2x+4\)

\(f(0)=-0^2 +2 x 0 +4\\f(0)=4\)

Answer:

C

Step-by-step explanation:

got it right on Edge

The two factors of the quadratic polynomial x^2 + 3/2 x - 1 are:

(x - 2) and (x + 0.5)

We have a quadratic polynomial, sadly we don't have the options for the factors, so we will find the two factors of our polynomial.

To find the factors first we need to solve the quadratic equation:

x² + (3/2)*x - 1 = 0

Using the quadratic formula we get the solutions:

\(x = \frac{-3/2 \pm \sqrt{(3/2)^2 -4*1*(-1)} }{2*-1} \\\\x = \frac{-3/2 \pm 2.5 }{-2}\)

Then the two solutions are:

x = (-3/2 + 2.5)/-2 = -0.5

x = (-3/2 - 2.5)/-2 = 2

Then we can factorize our polynomial as:

p(x) = (x - 2)*(x - (-0.5))

p(x) = (x - 2)*(x + 0.5)

So the two factors are:

(x - 2) and (x + 0.5)

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Kate will have to pay $56.25 out of pocket for her doctor visit.

The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.

The formula for calculating the amount Kate needs to pay is as follows:

Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible)  In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.

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A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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Sasha’s daily tips this week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips?

a. Yes, Sasha is correct. The mean amount she makes is $\(58.33\) in a day.

b. Yes, Sasha is correct. The mean amount she makes is $65.33 in a day.

c. No, Sasha is incorrect. The median amount she makes is $53.00 in a day.

d. No, Sasha is incorrect. The median amount she makes is $60.00 in a day.

a. Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.

Gather all of Sasha's daily tips, we will add them all and divide them by the number of tips on the workweek. We will get:

\(\frac{43 + 32 + 65 + 88 + 50 + 72}{6} = \frac{350}{6} = 58.3333333\)

When rounding \(58.333..\) we get an answer of \(58.33\)

The value today of a money machine is $4712.25 that will pay\$1000 per year for 6 years
The present value of the perpetuity is $50,000.

Given money machine value $1000, first payment is made two years from now, time period is six years and the rate of interest is 4% Then, it is assumed that the first $1000 payment is made in two years from today, so five payments of $1000 will be made from the third year to the eighth year.

Here is the formula used for the calculation of the present value of annuity: PV = A [((1 - (1 + i) ^ - n) / i)]

Where PV = Present value A = Annuity i = Interest n = Number of periods

Therefore, to calculate the present value of the annuity, we will substitute the values in the formula:

PV = $1000[((1 - (1 + 0.04) ^ - 5) / 0.04)]PV = $4,712.25

Hence, the present value of the annuity is $4712.25. Answer: 4712.25

The solution to the second part is shown below:

To determine the present value of the investment, we must calculate the present value of the perpetuity. The present value of the investment is calculated using the following formula:

PV = C / r Where PV = Present Value C = Cash Flows r = discount rate

Therefore, we can substitute the values in the formula to find the present value of the perpetuity:

PV = 500 / (0.12 / 12)PV = 500 / 0.01PV = $50,000

Therefore, the present value of the perpetuity is $50,000. Answer: $50,000.

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The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

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

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

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Answer:

578 miles

Step-by-step explanation:

In order to solve this problem, we need to first calculate how many miles the car can travel on a single gallon of gas. To do this we simply divide the 476 miles that the car travelled by the 14 gallons it used to do so.

476 miles / 14 gallons = 34 miles per gallon

Now, we can see that car can travel 34 miles for every gallon of gas it uses. Therefore, in order to calculate the distance, it can travel on 17 gallons, we simply multiply 34 miles by the 17 gallons we will use like so...

34 miles * 17 gallons = 578 miles

The new triangle has vertices A''(-5, -2), B''(-4, 3), and C''(-2, -5).

To rotate the triangle 180 degrees clockwise about the origin, we need to reflect each point across the x-axis and then reflect the resulting points across the y-axis.

Point A(-5, 2) becomes A'(5, -2) after reflecting across the x-axis. Then, A''(-5, -2) after reflecting A' across the y-axis.

Point B(4, -3) becomes B'(4, 3) after reflecting across the x-axis. Then, B''(-4, 3) after reflecting B' across the y-axis.

Point C(-2, 5) becomes C'(2, -5) after reflecting across the x-axis. Then, C''(-2, -5) after reflecting C' across the y-axis.

what is triangle?

A triangle is a polygon with three sides and three angles. It is one of the simplest and most basic geometric shapes, and appears in many different contexts in mathematics, science, and everyday life.

Triangles are classified based on the lengths of their sides and the sizes of their angles. The three basic types of triangles are:

Equilateral Triangle: A triangle with all three sides of equal length and all three angles of equal measure (60 degrees).

Isosceles Triangle: A triangle with two sides of equal length and two angles of equal measure.

Scalene Triangle: A triangle with all three sides of different lengths and all three angles of different measures.

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Answer:

x = -4 and y = 12

Step-by-step explanation:

Since you have y = -x + 8 you can substitute this into the first equation where y was so you have 3x + 4(-x + 8) = 36.

That way, there is only one variable and it is easier to solve.

3x + 4(-x + 8) = 36

3x -4x + 32 = 36

-x +32 = 36

-x = 4

x = -4

Plugging this into the equation y = -x +8,

y = -(-4) + 8

y = 4 + 8

y = 12

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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The answer for the system is, (2, 5)

y= 5, x= 2

Answer:

225 inches

Step-by-step explanation:

multiply 12*18=216 add the 9 inches and get 225

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.

Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer:

6x + 6y -xy + x^y + xy^2

Step-by-step explanation:

[ xy (-x - y -1) ]  + 2  (xy + x + y)

-x^2y - xy^2 - xy + 2xy + 2x + 2y

2x + 2y + xy - x^y - xy^2

8x + 8y - (2x + 2y + xy - x^2y - xy^2)

8x + 8y - 2x - 2y -xy + x^y + xy^2

6x + 6y -xy + x^y + xy^2

The domain of the function shown on the graph is given by the following option:

B. All real numbers.

The domain of a function is the set composed by all the input values that are assumed by the function.

On a graph, the meaning of each variable is given as follows:

Hence, considering the graph of the function, the domain of the function is the set that contains all the values of x of the function.

From the image given at the end of the answer, the line continues to left and to right, meaning that it has no spaces in it's definition, and thus the function is defined for all real values and the correct option is given by option b.

The problem containing the graph of the function and the options is given by the image presented at the end of the answer.

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The exponential function that passes through the point (3, 18) is f(x) = 2^x.

To find the exponential function f(x) = a^x that passes through the point (3, 18), we can substitute the values of x and f(x) in the equation and solve for the value of a.

Thus, we get 18 = a^3, and taking the cube root of both sides, we get a = 2. Therefore, the exponential function that passes through the point (3, 18) is f(x) = 2^x.

a. log3(1/27) = -3, as 1/27 is the same as 3^(-3).

b. log9 1 = 0, as 9^0 = 1.

c. 7log73 = log73^7, which is the same as 1,203,663,576.

d. log5 √625 = log5 25^(1/2) = log5 5 = 1, as 5^1 = 5 is the square root of 25.

In summary, we can find the exponential function that passes through a given point by substituting the values of x and f(x) in the equation and solving for the value of the base, a.

To evaluate logarithmic expressions, we can use the properties of logarithms, such as the power property and the change of base formula, to simplify the expressions and compute their values.

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Answer:

  240.1 m

Step-by-step explanation:

The given relation can be solved for h, either before or after known values are used.

__

  \(v=\sqrt{19.6h}\\\\v^2=19.6h\\\\h=\dfrac{v^2}{19.6}\)

  h = 68.6²/19.6 = 240.1

The object was dropped from a height of 240.1 meters.

Answer: drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each

Step-by-step explanation:

Answer:

40, 2000, 50

Step-by-step explanation:

I am not sure, but if you find any other answer, you can use this numbers