An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 63 students​?

Answer:

C

Step-by-step explanation:

Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

Answer:

i can't see it

Step-by-step explanation:

it's blury.

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

Inscribed Angle (A)

Step-by-step explanation:

in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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Answer:

Here is a graph of how this would look for you

Answer:

7 would be the closest meter when rounded 7 times 3 is 21 so its one-off but the closest you can get so the answer is 7 meters

Step-by-step explanation:

I divided 22 by three because the way to solve for the area is length times width so it'd be area divided by width for length

A. The probability of selecting a defective component on the first attempt is 0.3 or 30%.

B. The probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

C. The probability of selecting two defective components is approximately 0.09 or 9%.

D.  The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

E. The probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

F. The probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

G. It is not reasonable to treat A and B as though they were independent

a) The probability of drawing a defective component on the first attempt can be calculated as follows:

P(A) = (number of defective components in the lot) / (total number of components in the lot)

P(A) = 300/1000

P(A) = 0.3

Therefore, the probability of selecting a defective component on the first attempt is 0.3 or 30%.

b) The probability of selecting a defective component on the second attempt, given that the first component selected was defective, can be calculated as follows:

P(B|A) = (number of defective components remaining in the lot) / (total number of components remaining in the lot after selecting a defective component on the first attempt)

P(B|A) = 299/999

P(B|A) ≈ 0.299

Therefore, the probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

c) The probability of selecting two defective components can be calculated as follows:

P(A^B) = P(A) * P(B|A)

P(A^B) = 0.3 * 0.299

P(A^B) ≈ 0.09

Therefore, the probability of selecting two defective components is approximately 0.09 or 9%.

d) The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt can be calculated as follows:

P(AC^B) = P(AC) * P(B|AC)

P(AC^B) = (number of non-defective components in the lot / total number of components in the lot) * (number of defective components remaining in the lot after selecting a non-defective component on the first attempt / total number of components remaining in the lot after selecting a non-defective component on the first attempt)

P(AC^B) = (700/1000) * (300/999)

P(AC^B) ≈ 0.21

Therefore, the probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

e) The probability of selecting a defective component on the second attempt can be calculated as follows:

P(B) = P(A)*P(B|A) + P(AC)*P(B|AC)

P(B) = 0.3 * 0.299 + 0.7 * 300/999

P(B) ≈ 0.329

Therefore, the probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

f) The probability of the first component selected being defective, given that the second component selected was defective, can be calculated as follows:

P(A|B) = P(A^B) / P(B)

P(A|B) = (0.3 * 0.299) / 0.329

P(A|B) ≈ 0.273

Therefore, the probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

g) To determine if events A and B are independent, we need to check if the occurrence of one event affects the probability of the other event occurring.

If events A and B are independent, then P(B|A) = P(B). We found that P(B|A) ≈ 0.299 and P(B) ≈ 0.329, which are not equal. Therefore, events A and B are not independent.

It is not reasonable to treat

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the answer is -12/3 cause it's negative

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

The answer to your problem is, 84% or 0.84

Step-by-step explanation:

Based on the given conditions, formulate:

( 50 - 8 ) ÷ 50

Next, Calculate the sum or difference ( either term works ):

\(\frac{42}{50}\)

Cross out all the common factors, \(\frac{21}{25}\)

\(\frac{21}{25}\) = 84% or 0.84

Thus the answer to your problem is, 84% or 0.84

We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

Given that,

Let R be the relation defined on A as follows, and let A be the set of all statement forms in the three variables p, q, and r. S R T⇔ S and T have the same truth table for all S and T in A. substantiate the equivalence of R.

We have to demonstrate that it satisfies each of the properties you choose.

We know that,

By reflexive property,

S ≅ S  means that S has the same truth table as S.

T≅ T denotes that T and T have the same truth table.

By symmetric property,

S ≅T denotes that S and T share the same truth table.

At that time, T and S share the same truth table.

So, T ≅ S

By transitive property,

S≅T and T≅V and V≅W

S shares a truth table with S. Truth table between T and T W's truth table is the same for V and V.

S, T, V, and W all have the same truth table as a result.

S specifically has the same truth table as W.

Then S≅T≅V≅W ---> S≅W

Therefore, We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

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Answer: 1.69%

Step-by-step explanation:

Answer:

chemical mixture is a collection of molecules or atoms of different types. A mixture is distinguished from a pure substance, which has constant composition (is composed of a only one type of molecule or atom), and a unique set of physical properties (no matter how large or small a sample is observed).

Step-by-step explanation:

The solution of the system of equation are (1,8) and (0, 6)

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam

The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:

x1 = 1

x2 = 1

λ = -4

μ = 2

To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:

L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))

Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.

In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.

The Lagrangian function becomes:

L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)

To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:

∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0

∂L/∂x2 = -2x1 + 2 + λ = 0

∂L/∂λ = -(x1 + x2 - 2) = 0

Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:

x1 + x2 - 2 = 1 + 1 - 2 = 0

Therefore, μ = 2.

The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.

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The solution to the expression 4+(−634) is -630

From the question, we have the following parameters that can be used in our computation:

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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The length of the longest possible ladder that can negotiate a turn in a hallway that is 14 feet wide in one direction and 8 feet wide in the other perpendicular direction is approximately 16.97 feet.

To find the length of the ladder, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the width of the hallway in one direction (14 feet) and the width in the perpendicular direction (8 feet) form the two sides of a right triangle. The length of the ladder represents the hypotenuse.

Using the Pythagorean theorem, we can calculate the length of the ladder as follows:

Ladder length = √(14^2 + 8^2)

            = √(196 + 64)

            = √260

            ≈ 16.97 feet

Therefore, the longest possible ladder that can negotiate the turn in the given hallway is approximately 16.97 feet.

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Answer:

its B or C

Step-by-step explanation:

Irrational Numbers: 2, 72, 8/23, pi, 5, 10, 3, 15, 17, -11, 2/5, 8, 1.6,

The speed of current and average speed of paddling is 3 and 7 respectively.

Let p represents paddling speed of kayack guide  and c represents speed of current.

If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.

Since paddling downstream took  2 hours so distance covered 2*(p + c)

which is equal to 20 miles.

2*(p + c) =20.

p + c = 10. -----i

Paddling upstream took 4 hours so distance covered 4*(p-c).

which is equal to 16 miles.

4*(p-c) = 16.

p - c = 4.  -------ii

adding both equation c will be cancelled. 2*p=14 p =7.

put value of p in equation i.

7 + c = 10  ,c = 3.

So the speed of current and average speed of paddling is 3 and 7 respectively.

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Step-by-step explanation: two bottles of milk is: $6.64 and two bottles juice: $5.90 so adding thos results $12.54

I hope help you

k=6

have an amazing day bye!

Answer:

Hello! k = 6

Step-by-step explanation:

40 + 90 = 130 so our last angle must be 50 sense this will add up to 180 so k = 6 because 7 x 6 = 42 and 42 + 8 = 50 so answer 6

Answer:     9 is the next number of this series. Similarly, apply thus rule. 9×2=18 and 18+9=27. Next is 27.

Step-by-step explanation:

Answer:

9.81

Step-by-step explanation:

1/100 = 0.01

Therefore the answer is 9.81 as 2 will be rounded down.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.

In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.

What is the arithmetic progression formula?

a {n}=a {1}+(n-1) The nth term in the series is d a n.

The first term in the sequence is a 1.

d is the common distinction between the terms.

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Answer:

4/3*PI

OR  4.186 (6 REPEATING0

OR 1.3(3 REPEATING )*PI

Step-by-step explanation:

BECAUSE

THE FORMULA IS 4/3*PI*R^3=V

4/3*3.14*1=V

4/3*PI=V

OR  4.186 (6 REPEATING

OR 1.3(3 REPEATING )*PI

HOPE I HELPED

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    -ZYLYNN JADE

Answer:

4.19 in³

Step-by-step explanation:

The volume of a sphere is given by the formula:

so the volume is:

V = \(\frac{4}{3}\)*3.14*1³

V= 4.1866 ≈ 4.19 in³

The measure of <A = 53 degrees

To determine the measure of the angle, we need to know the following;

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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