A Florist can produce several sets of elegant floral designs in about 2.5 hours. Working with an apprentice, they can produce the same sets in 1.5 hours. How long would it take the apprentice if he was working alone

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\cfrac{\pi (3)^2(7)}{3} \\\\\\ V=21\pi \implies {\Large \begin{array}{llll} V\approx 65.97 \end{array}} ~in^3 ~~ \approx 66~in^3\)

Answer:

600+70+0

Step-by-step explanation:

Answer:

600 + 70+ 0

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Answer:

x = 0

Step-by-step explanation:

\(2(x+7)=-4x+14\\x+7=-2x+7\\x=-2x\\3x=0\\x=0\)

Answer:

x=-0

Step-by-step explanation:

a. From fastest to slowest, the speeds of the balls at the right ends of the tracks will depend on the curvature of the tracks.

If the tracks are of equal length but have different curvatures, the ball on the track with the least curvature will have the highest speed, followed by the ball on the track with the next least curvature, followed by the ball on the track with the most curvature.

b. From longest to shortest, the tracks in terms of the times for the balls to reach the ends will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the most curvature will have the longest time for the ball to reach the end, followed by the track with the next most curvature, followed by the track with the least curvature.

c. From greatest to least, the tracks in terms of the average speeds of the balls will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the least curvature will have the highest average speed, followed by the track with the next least curvature, followed by the track with the most curvature.

All the balls will have the same average speed on all three tracks if the track lengths are equal, but will have different speeds at the end of each track due to the different curvatures.

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Answer:

6y + 42

Step-by-step explanation:

Answer: 6y+42

Step-by-step explanation:

When you distribute, you multiply the coefficient by each term in the parenthesis.

6y+42

The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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Answer:

Undefined.

Step-by-step explanation:

Slope is the Rise/Run of a straight line.  Run is the change in the value of y for a change in x.  The graph shows all values are possible for y even when there is zero change in x.  All Values/0 = Undefined.

Answer:(x+4)(x+2)(x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Inverse relationship equation:

1)

2)

Required equation:

Use the initial values to find the value of k:

Find a when b = 4:

Option C

3)

Required equation:

Find k:

Find x when y = 3:

Option D

4)

Required equation:

Find k:

Find a when b = - 15:

Option C

5)

Required equation:

Find k:

Find t when N = 16:

Option B

Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare. The correct option is A.

Health care refers to the maintenance or improvement of an individual's physical or mental health through the prevention, diagnosis, and treatment of illness, injury, or disease. It encompasses a range of services provided by healthcare professionals.

Based on the information provided, Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare.

Bronze level plans typically have lower monthly premiums but higher out-of-pocket costs for healthcare services, such as copays, deductibles, and coinsurance.

Since Tanya only goes to the doctor once a year, she is unlikely to meet her deductible or incur significant out-of-pocket costs.

In contrast, options B, C, and D involve more frequent or more serious healthcare needs, which would likely result in higher out-of-pocket costs for healthcare services.

Thus, the correct option is A.

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Answer:

1. yes

2. no

3. yes

Step-by-step explanation:

A monomial is one term.

1. Yes. 7b is one term.

2. No. 5x-11 is not one term. It is 2 terms.

3. Yes. 2020 is one term.

The number of hours to breakeven will be 5 hiurs

The breakeven is the point at which the cost and the revenue are equal.

Since Mitch sells thingamabobs. His revenue is modeled by the function R(h) = 5h+ + 8 for every h hours he spends working and his overhead cost is modeled by the function C'′(h) = h² + 7h − 16.

This wll be:

Revenue = Cost

5h + 8 = h² + 7h - 16

Collect like terms

h² + 7h - 5h - 16 = 0

h² - 2h - 16 = 0

Solving the equation will give h as 5.

The number of hours will be 5 hours.

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EXPLANATION

A number that we can multiply by 2 and get -1 is, for instance:

Answer:

Rectangle

Step-by-step explanation:

The one on the bottom right corner.

Hope it helps.

;)

<3

Answer:

19

Step-by-step explanation:

Since the median is 18, we know that the missing number must be between 17 and 21. To find their average, we add them together and divide by 2:

(17 + 21) / 2 = 19

The line y = ±3/4 x is tangent to the circle at the points of intersection (8/5, 6/5) and (2/5, -6/5).

We can begin by finding the center and radius of the circle.

We can rewrite the equation of the circle as:

(x - 5)² + y² = 9

This is in the standard form of the equation of a circle: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

So, the center of the circle is (5, 0), and the radius is 3.

Now, we want to find the values of k such that the line y = kx is tangent to the circle.

First, we need to find the point(s) of intersection between the line and the circle. We can substitute y = kx into the equation of the circle and simplify:

x² + (kx)² - 10x + 16 = 0

Simplifying further:

(x²(1 + k²)) - 10x + 16 = 0

This is a quadratic equation in x. For the line to be tangent to the circle, there must be exactly one solution for x, which means the discriminant of the quadratic equation must be 0:

b² - 4ac = 0

(-10)² - 4(1 + k²)(16) = 0

Simplifying:

100 - 64 - 64k² = 0

36 = 64k²

k² = 9/16

k = ±3/4

So, the line y = ±3/4 x is tangent to the circle at the points of intersection (8/5, 6/5) and (2/5, -6/5).

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A pulse rate of 51.8 bpm is significantly low, because it is more than two standard deviations below the mean

To decide in case a pulse rate of 51.8 bpm is altogether low or essentially high, we are able utilize the extend run the show of thumb. Agreeing to the extend run the show of thumb, values that are more than two standard deviations absent from the cruel can be considered altogether moo or altogether tall.

Given that the cruel beat rate is 79.4 bpm and the standard deviation is 11.2 bpm, we will calculate the limits for altogether moo and altogether tall values:

Altogether low values: cruel - (2 * standard deviation)

Altogether tall values: cruel + (2 * standard deviation)

Essentially moo values: 79.4 - (2 * 11.2) = 57 bpm

Altogether tall values: 79.4 + (2 * 11.2) = 101.8 bpm

Since the beat rate of 51.8 bpm is lower than the essentially low value of 57 bpm, it can be considered altogether low.

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The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.

So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)

Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51

Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

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The probability of passing a 10-question multiple-choice quiz by random guessing is about 2.4%.

A quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

The probability of a random guess being correct for a single multiple-choice question with 6 options is 1/6, or approximately 0.17.

To find the probability of passing the quiz with a minimum passing grade of 50%, we need to calculate the probability of getting 5 or more correct answers out of 10.

This can be calculated as the sum of the probabilities of getting exactly 5, 6, 7, 8, 9, or 10 correct answers:

P(pass) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

where P(x) is the probability of getting exactly x correct answers.

This can be calculated using the binomial distribution and its cumulative distribution function (CDF). The result is approximately 0.024, or 2.4%.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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To find the position u of the mass at any time t, we can use the equation of motion for a mass-spring system without damping:

m * u''(t) + k * u(t) = 0,

where m is the mass, u(t) represents the position of the mass at time t, k is the spring constant, and u''(t) denotes the second derivative of u with respect to t.

Given:

m = 9 lb,

k = (Force/Extension) = (9 lb)/(7 in) = (9 lb)/(7/12 ft) = 12 ft/lb,

Initial conditions: u(0) = 6 in, u'(0) = -4 ft/s.

To solve the differential equation, we can assume a solution of the form:

u(t) = R * cos(ωt + φ),

where R is the amplitude, ω is the angular frequency, and φ is the phase.

Taking the derivatives of u(t) with respect to t:

u'(t) = -R * ω * sin(ωt + φ),

u''(t) = -R * ω^2 * cos(ωt + φ).

Substituting these derivatives into the equation of motion:

m * (-R * \(w^2\)* cos(ωt + φ)) + k * (R * cos(ωt + φ)) = 0.

Simplifying the equation:

-R * \(w^2\) * m * cos(ωt + φ) + k * R * cos(ωt + φ) = 0.

Dividing both sides by -R * cos(ωt + φ) (assuming it is non-zero):

\(w^2\) * m + k = 0.

Solving for ω:

\(w^2\)= k/m,

ω = sqrt(k/m).

Plugging in the values for k and m:

ω = sqrt(12 ft/lb / 9 lb) = sqrt(4/3) ft^(-1/2).

The angular frequency ω represents the rate at which the mass oscillates. The frequency f is related to ω by:

ω = 2πf,

f = ω / (2π).

Plugging in the value for ω:

f = (sqrt(4/3) ft^(-1/2)) / (2π) = (2/π) * sqrt(1/3) ft^(-1/2).

The period T is the reciprocal of the frequency:

T = 1 / f = π / (2 * sqrt(1/3)) ft^1/2.

The amplitude R is the maximum displacement of the mass from its equilibrium position. In this case, it is given by the initial displacement when the mass is pushed upward:

R = 6 in = 6/12 ft = 0.5 ft.

The phase φ represents the initial phase angle of the motion. In this case, it is determined by the initial velocity:

u'(t) = -R * ω * sin(ωt + φ) = -4 ft/s.

Plugging in the values for R and ω and solving for φ:

-0.5 ft * sqrt(4/3) * sin(φ) = -4 ft/ssin(φ) = (4 ft/s) / (0.5 ft * sqrt(4/3)) = 4 / (0.5 * sqrt(4/3)).

φ is the angle whose sine is equal to the above value. Using inverse sine function:

φ = arcsin(4 / (0.5 * sqrt(4/3))).Therefore, the position u(t) of the mass at any time t is:

u(t) = (0.5 ft) * cos(sqrt(4/3) * t + arcsin(4 / (0.5 * sqrt(4/3)))).

The frequency ω, period T, amplitude R, and phase φ are given as follows:

ω = sqrt(4/3) ft^(-1/2),

T = π / (2 * sqrt(1/3)) ft^(1/2),

R = 0.5 ft,

φ = arcsin(4 / (0.5 * sqrt(4/3))).

Note: The given values for t are not provided, so the exact position u(t) cannot be calculated without specific time values.

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The possible rational roots of the polynomial are ±1/2, ±1, ±3/2, ±3, ±9/2, ±9 while the actual roots are 1, -3, 3/2

To find the possible rational roots of the polynomial 2x^3 + x^2 - 12x + 9 = 0, we can use the rational root theorem. According to the theorem, if a polynomial with integer coefficients has a rational root p/q (where p and q are integers with no common factors other than 1), then p must be a factor of the constant term (in this case, 9) and q must be a factor of the leading coefficient (in this case, 2).

The factors of 9 are ±1, ±3, and ±9, and the factors of 2 are ±1 and ±2. Therefore, the possible rational roots of the polynomial are:

±1/2, ±1, ±3/2, ±3, ±9/2, ±9

We can now use synthetic division or long division to check which of these possible roots are actual roots of the polynomial. After checking, we find that the real rational root of the polynomial are x = 1, -3, 3/2

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Answer: 8/9

Step-by-step explanation: 0.888... can be simplified to 8/9.

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

The fundamental difference between the t statistic and a z statistic is that the t statistic computes the standard error by dividing the standard deviation by n-1 instead of dividing by n so the correct answer is option (c).

This is because the t statistic is used when the population standard deviation is unknown, and the sample standard deviation is used as an estimate. Therefore, the formula for the standard error of the t statistic adjusts for the fact that the sample standard deviation may not be an exact reflection of the population standard deviation.

Additionally, the t statistic also uses the sample mean in place of the population mean, which is another difference from the z statistic. The z statistic assumes that the population mean is known, while the t statistic is used when the population mean is unknown. Finally, the t statistic uses the sample variance in place of the population variance, which is yet another difference between the two statistics.

Overall, these differences make the t statistic a more flexible and practical tool for analyzing data when the population parameters are unknown.

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

d

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Answer:

c is your answer

Step-by-step explanation: