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Answer:

Step-by-step explanation:

people in the know after 4 days = 8×1.50⁴

Answer:

8(1+0.5)(1+0.5)(1+0.5)(1+0.5)

Step-by-step explanation:

i did the khan :)

Answer:

5.1

Step-by-step explanation:

The inverse of the function F (x) is  F(-1)(x). Therefore, If Fx) = x-3, which of the following is the inverse of Fx) F1(x) = x+ 3.

The inverse of a function is a new function that "reverses" the operation of the original function. In other words, if we apply the original function followed by its inverse function, we should get back the original input.

Geometrically, the inverse function of a function F is a reflection of F about the line y = x. This means that if we plot the function F on a coordinate plane, and then plot its inverse function F^(-1) on the same plane, the two graphs will be symmetric about the line y = x.

To find the inverse of F(x), we need to swap the positions of x and y in the equation F(x) = x - 3, and solve for y:

x = y - 3

x + 3 = y

Therefore, the inverse of F(x) is F^(-1)(x) = x + 3, which is option B.

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Simple random sampling is a sort of probability sampling in which a subset of participants from a population is randomly chosen by the researcher. There is an equal opportunity for selection for every person in the population. Then, information is gathered from as much of this random subset as is feasible.

What is simple random sampling, and why is it significant?

One technique researchers employ to select a sample from a broader population is a simple random sampling.

                               If there is an equal chance that any subject in a population will be chosen, this strategy is effective. In order to draw general conclusions about a group, researchers choose basic random sampling.

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Step-by-step explanation:

4a + 5a + 6b + 3b

=9a + 9b

= 9(a+b)

The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

SOLUTION:

The amount Mr. Jones had to pay initially in total over the 8 years is;

Inserting the values of P, R, and T, we have;

Now, if this is spread over 8 years, In 5 years, Mr. Jones will pay;

Answer:

4x^4−x^3+2x^2+x+7

_______________

              x

Step-by-step explanation:

4x^3-x^2+2x+7÷x+1

the aggregate demand curve is downward-sloping because, other things being equal, With average price reductions, more people purchase goods and services.

This is known as the law of demand, which states that there is an inverse relationship between the price of a good or service and the quantity of that good or service demanded by consumers. When the price of a good or service goes up, consumers tend to demand less of it, and when the price goes down, consumers tend to demand more of it. Therefore, if all other factors affecting demand remain constant, an increase in price will lead to a decrease in the quantity demanded, and a decrease in price will lead to an increase in the quantity demanded. This is why the aggregate demand curve is downward-sloping.

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Compete Question

the aggregate demand curve is downward-sloping because, other things being equal, ____. FILL IN THE BLANKS

The angular velocity of a person standing on the equator is ω = 1.026 × 10⁻⁴ rad/s

Angular velocity is the number of revolution per second of an object.

Since a planet rotates through one complete revolution every 17 hours and since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. We thus require its angular velocity.

The angular velocity is given by ω = 2π/T where T = period of revolution

Since the planet rotates through one complete revolution every 17 hours, its period, T = 17 hours = 17 h × 60 min/h × 60 s/min = 61200 s

So, substituting the period into the equation for the angular velocity, we have

ω = 2π/T

ω = 2π/61200 s

ω = π/30600 s

ω = 0.0001026 rad/s

ω = 1.026 × 10⁻⁴ rad/s

So, the angular velocity is ω = 1.026 × 10⁻⁴ rad/s

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Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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The boat is moving towards the pier at a rate of 5/3 ft/second when it is 25 feet away.

To solve this problem, we can use the concept of related rates. Let's denote the distance between the person on the pier and the boat as "x" and the height of the boat above the ground as "y." We are given that the person is pulling in the rope at a constant speed of 5 ft/second, so the rate of change of "x" with respect to time is 5 ft/second.

We want to find the rate of change of "y" with respect to time when the boat is 25 feet away from the pier, which means x = 25 ft. We are also given that the pier is 15 feet off the ground, so y = 15 ft.

We can use the Pythagorean theorem to relate x and y:

\(x^2 + y^2 = z^2\)

where z is the length of the rope, which remains constant. Taking the derivative of both sides with respect to time:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since the person is pulling in the rope at a constant speed, we have dx/dt = 5 ft/second. We need to find dy/dt when x = 25 ft and y = 15 ft.

Substituting the known values into the equation, we have:

2(25)(5) + 2(15)(dy/dt) = 0

50 + 30(dy/dt) = 0

30(dy/dt) = -50

dy/dt = -50/30

dy/dt = -5/3 ft/second

Therefore, the boat is moving towards the pier at a rate of 5/3 ft/second when it is 25 feet away. Note that the negative sign indicates that the boat is moving downwards, towards the ground.

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Answer:

\(36 +( 5 \times - 6) - 5 = 36 - 30 - 5 = 1\)

Hey there!

b^2 + 5b - 5

= -6^2 + 5(-6) - 5

= -36 + (-30) - 5

= -66 - 5

= -71

Therefore, your answer is: -71

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x = 8

Step-by-step explanation:

remember:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

based on the figure given:

AB=8 is also equal to BC=x=8

therefore, your x value would be 8

We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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Answer:

25

Step-by-step explanation:

23/x = 92/100

92/23=4

110/4=25

answer = 25

Answer:

part/whole =%/100.

we looking for the total price so we look for the whole

92/100=23/x

2300=92x

x=25

Step-by-step explanation:

Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

The smallest possible value of the sum of the eight integers is given by:

116.

The eight integers in the problem are given as follows:

n, ..., n + 7.

Hence:

The smallest integer is more than 3/5 of the largest integer, hence the following inequality is built to relate them:

n > 3/5(n + 7)

Applying the distributive property on the right side, we have that:

n > 0.6n + 4.2.

0.4n > 4.2

n > 4.2/0.4

n > 10.5.

Hence the integers are:

11, 12, 13, 14, 15, 16, 17, 18.

(as 11 is the smallest integer possible).

Then the value of the sum is obtained as follows:

11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 116.

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Answer:

last option. absolute value doesnt matter whether it is positive or negative

Step-by-step explanation:

The x and y components of acceleration are:-  \(ax = (1/k)(c(dy^2/dt^2)),- ay = c(d^2y/dt^2)\)

To find the x-component of acceleration, we need to take the second derivative of the position function with respect to time:

2 = 4kx
2v = 4kx'  (taking the derivative with respect to time)
2a = 4kx''  (taking the derivative of v with respect to time)

So the x-component of acceleration is a_x = 2kx''.

To find the y-component of acceleration, we can use the given information about the velocity along the y-axis:

v_y = 1y ct

Taking the derivative with respect to time, we get:

a_y = c

So the y-component of acceleration is simply a_y = c.
To determine the x and y components of acceleration for the given path of a particle and the component of velocity along the y-axis, we'll use the given equations and find the second derivatives with respect to time.

The path of the particle is defined by \(y^2\) = 4kx. First, differentiate this equation with respect to time (t) to find the relation between the x and y components of velocity:

(1) 2y(dy/dt) = 4k(dx/dt)

The component of velocity along the y-axis is given as vy = dy/dt = cy. Substituting this into equation (1):

(2) 2y(cy) = 4k(dx/dt)

Now, solve for dx/dt (vx):

\(vx = (1/k)(cy^2/2)\)

Next, differentiate both vx and vy with respect to time to find the x and y components of acceleration:

\(ax = d^2x/dt^2 = (1/k)(c(dy^2/dt^2))\)
\(ay = d^2y/dt^2 = c(d^2y/dt^2)\)

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The alternative hypothesis (H1) in this scenario puts forth a claim or belief about the treatment that is being administered to the individuals in the sample. It suggests that there is an effect or difference resulting from the treatment.

Specifically, the alternative hypothesis (H1) typically asserts that the treatment has a specific effect or outcome that is different from the null hypothesis (H0). It posits that the treatment has a significant impact on reducing or alleviating anxiety symptoms in the individuals compared to no treatment or a different treatment.

The alternative hypothesis is the researcher's assertion or hypothesis that they want to support or demonstrate through statistical analysis. It reflects the researcher's expectation that there is a meaningful relationship or effect resulting from the treatment being investigated.

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The probability of household views between 5 and 11 hours will be 0.7653. Number of hours needed in order to be in top 3% will be 13.03 hours. Probability of views more than 3 hours will be 0.9838.

a) The probability of television views between than 5 and 11 hours.

 P( 5≤X≤11) = P[ (5-μ)/σ ≤ (X-μ)/σ ≤ (11-μ)/σ]

                   = P [ (5-8.35)/2.5 ≤ z ≤ (11-8.35)/2.5)

                    = P ( -1.34 ≤ z ≤ 1.06)

                    = P ( z≤ 1.06) - P(z ≤ -1.34)

Substituting values from the z-table

   P ( 5≤X≤11) = 0.85543 - 0.09012 = 0.76531

Probability that household views between 5 and 11 hours is  0.7653.

b) Hours needed to be in top 3% of all households.

 P( X> h) = 0.03

 P[ (X-μ)/σ > (h-μ)/σ] = 0.03

P ( z >h-8.35/2.5) = 0.03

P ( z ≤ h-8.35/2.5) = 0.97

From the table

  (h - 8.35)/ 2.5 = 1.87

   h = (1.87× 2.5) + 8.35

      = 13.025 = 13.03 hours

So if the viewing time is more than 13.03, the household will be in the top 3%.

c) Probability of viewing more than 3 hours

 P(X> 3) = P[ (X-μ)/σ > (3-μ)/σ]

               = P( z < -2.14) = 0.9838

So probability the household will have views more than 3 hours will be 0.9838.

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Answer:

462 ways

Step-by-step explanation:

The formula to use in solving this problem is given as the Combination formula

The Combination formula is given as

C(n , r) = nCr = n!/r! (n - r)!

We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks

n = 12, r = 6

In order to ensure that at least 1 food bank gets 1 pie, we have:

n - 1 = 12 - 1 = 11

r - 1 = 6 - 1 = 5

Hence,

C(11, 5) = 11C5

= 11!/ 5! ×(11 - 5)!

= 11!/5! × 6!

= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)

= 462 ways

Step-by-step explanation:

Notice the vertex and focus have the same y coordinate so this means we will have sideways parabola.

Equation of a sideways parabola is

\((y - k) {}^{2} = 4p(x - h)\)

Since the vertex is (0,0), we can get rid of h and k.

\( {y}^{2} = 4px\)

Next Section: Value of P:

The value of P is the displacement between the focus and vertex.

So we do

\(p = x _{focus} - x _{vertex}\)

\( p = - 6 - 0\)

\(p = - 6\)

\( {y}^{2} = 4( - 6)x\)

\( {y}^{2} = - 24x\)

or

\( - \frac{ {y}^{2} }{24} = x\)

To solve this problem, we'll use the concept of permutations.

First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.

1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.

Now, multiply the number of options for each position together to find the total number of ways to form the committee:

20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.

So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.

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The area of the square LMNP is 50 square units

The circumference of the circle is given as:

C = 10π

Circumference is calculated as:

C = 2πr

So, we have:

2πr = 10π

Divide by 2π

r = 5

This represents the length OM

The length PM is calculated as:

PM = 2 * OM

This gives

PM = 2 * 5

PM = 10

The length (PN) of the square is then calculated as:

PM = PN√2

This gives

10 = PN√2

Square both sides

100 = PN^2 * 2

Divide by 2

50 = PN^2

Rewrite as:

PN^2 = 50

Hence, the area of the square LMNP is 50 square units

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The container that is a better value is the container that has the largest volume for smaller price which is the cone.

volume of cylinder = πr²h

where

Therefore,

radius = 4 / 2 = 2 inches

h = 4 inches

volume of a cylinder = 3.14 × 2² × 4

volume of a cylinder =  3.14 × 4 × 4

volume of a cylinder =  3.14 × 16

volume of a cylinder =  50.24 inches³

volume of a cone = 1 / 3 πr²h

where

Therefore,

r = 6 / 2 = 3 inches

h = 6 inches

volume of the cone = 1 / 3 × 3.14 × 3² × 6

volume of the cone = 1 / 3 × 3.14 × 9 × 6

volume of the cone = 169.56 / 3

volume of the cone = 56.52 inches³

Therefore, the cone is the better value because it cost less for more volume.

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Answer:

The cone is a better value because it has a larger volume than the cylinder and costs less per cubic inch of popcorn.

Step-by-step explanation: