Last year, Liz gave 90 piano performances. This year, she gave 126 piano performances. What is the percent of increase in the annual number of performances?

The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

Given that,

We have to find the minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters on each side of the pool and a further 5 meters along the corresponding sides of the pool. The pool's area is 1800 square meters.

We know that,

Area of the Total space = (l+10)(b+20)

Here,

b=1800/l

l= 30

So,

b=60

Area of the total space is (30+10)(60+20) = 40×80 = 3200 m²

The minimum area of deck = 3200-1800 = 1400 m²

Therefore, The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

To learn more about meter visit: https://brainly.com/question/29438351

#SPJ4

Answer:

C. 8x²+x+3.

Step-by-step explanation:

A and B are not polynomials as they contain a division (A) and a square root (B).

D is a monomial ( just one term).

oc.8x²+x+3

Step-by-step explanation:

Which of the following is a polynomial?

OA. 5+x2²/X

OB. √x+2x-1

OC. 8x²+x+3

OD. 7x

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

The f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

An exponential graph is a type of graph that represents an exponential function. An exponential function is a mathematical function in which a constant base is raised to a variable exponent. The general form of an exponential function is: y = a * bˣ.

A graph is a visual representation of data or information that allows us to quickly and easily understand patterns, trends, and relationships. Graphs are used to present information in a way that is easy to interpret and understand.

In the given question,

The function that represents the exponential graph given that (0, 1) and (4, 81/16 ) are points that lie on the graph is:

f(x) = (3/2)ˣ

To verify that this is the correct function, we can substitute x=0 and x=4 into the function to see if the corresponding y-values match the given points on the graph.

When x=0, f(0) = (3/2)⁰ = 1, which matches the point (0, 1).

When x=4, f(4) = (3/2)⁴ = 81/16, which matches the point (4, 81/16).

Therefore, f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

To know more about exponential graph, visit:

https://brainly.com/question/9834848

#SPJ1

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

i) U is a subspace of ℝ⁴.

(ii) V is not a subspace of ℝ⁴.

(iii) W is not a subspace of ℝ⁴.

To determine which of the given subsets are subspaces of ℝ⁴, we need to check if they satisfy three conditions:

The zero vector is in the subset.

The subset is closed under addition.

The subset is closed under scalar multiplication.

Let's analyze each subset:

(i) U = {(a, b, c, d) | a + 2b = c + 2d}

To check if U is a subspace, we need to verify the three conditions:

Zero vector: The zero vector in ℝ⁴ is (0, 0, 0, 0).

Substituting the values into the equation, we have 0 + 2(0) = 0 + 2(0), which is true.

So the zero vector is in U.

Addition: Suppose we have two vectors (a₁, b₁, c₁, d₁) and (a₂, b₂, c₂, d₂) in U. We need to check if their sum is also in U.

Adding the vectors component-wise, we get (a₁ + a₂, b₁ + b₂, c₁ + c₂, d₁ + d₂).

Substituting these values into the equation, we have (a₁ + a₂) + 2(b₁ + b₂) = (c₁ + c₂) + 2(d₁ + d₂), which holds true.

Hence, U is closed under addition.

Scalar multiplication:

Let (a, b, c, d) be a vector in U, and let k be a scalar. We need to show that k(a, b, c, d) is also in U.

Multiplying each component of the vector by k, we get (ka, kb, kc, kd). Substituting these values into the equation, we have ka + 2kb = kc + 2kd, which is also true.

Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of ℝ⁴.

(ii) V = {(a, b, c, d) | a + 2b = c + 2d + 1}

Let's analyze V using the three conditions:

Zero vector:

Substituting (0, 0, 0, 0) into the equation, we have 0 + 2(0) = 0 + 2(0) + 1, which is not true.

Therefore, the zero vector is not in V, and V fails the first condition.

Since V fails the first condition, it cannot be considered a subspace of ℝ⁴.

(iii) W = {(a, b, c, d) | ab = cd}

Now let's apply the conditions to W:

Zero vector:

Substituting (0, 0, 0, 0) into the equation, we have 0 \(\times\) 0 = 0 \(\times\) 0, which is true.

Therefore, the zero vector is in W.

Addition: Take two vectors (a₁, b₁, c₁, d₁) and (a₂, b₂, c₂, d₂) in W.

Their sum is (a₁ + a₂, b₁ + b₂, c₁ + c₂, d₁ + d₂).

Substituting these values into the equation, we have (a₁ + a₂)(b₁ + b₂) = (c₁ + c₂)(d₁ + d₂), which holds true.

Hence, W is closed under addition.

Scalar multiplication: Let (a, b, c, d) be a.

For similar question on subspace.

https://brainly.com/question/29891018  

#SPJ8

is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

Answer:

7.55 inches

Step-by-step explanation:

Add the two values together:

0.75 + 6.8 = 7.55

The combined length of Jackie's ribbons is 7.55 inches!

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

For more such answers on supplementary angle

https://brainly.com/question/12919120

#SPJ8

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

Learn more about conjugation on:

https://brainly.com/question/28175934

#SPJ1

Answer:

\(f^-^1(x)=\frac{x}{4} - \frac{1}{2} , x\geq -46\)

Step-by-step explanation:

Theres the inverse

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by the swapping of x with y and y with x.

The quadratic function is given below.

f(x) = (2x + 1)²

Then the inverse of the quadratic function will be

x = (2f⁻¹(x) + 1)²

2f⁻¹(x) + 1 = √x

2f⁻¹(x) = √x - 1

f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

More about the inverse function is given below.

https://brainly.com/question/2541698

#SPJ2

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

For such more questions on mini

https://brainly.com/question/29266607

#SPJ8

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

Learn more about real return and stocks here: https://brainly.com/question/32228847

#SPJ1

Answer:

vertex= (0,-4), Axis of symmetry - x= 0,

sorry I don't know the rest and I don't know  if this is even know if this is correct, so good luck I hope someone else can.

Step-by-step explanation:

The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.

The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.

In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.

For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.

Learn more about set on

https://brainly.com/question/13458417

#SPJ1

Answer:

.

Step-by-step explanation:

Answer:

no hay imagen lo siento

Step-by-step explanation:

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

Answer: two thirds

Step-by-step explanation:

Consonents -> M, T, H, S, F, N    (6 of them)

Vowels(non-consonents) -> A, I, U   (3 of them)

Total number of letters = 6 + 3 = 9

Probability = 6/9 = 2/3

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer:

Since it is multiplied by ten, its basically multiplying 8.88 by 1 and moving the decimal to the right once. Multiplying numbers by 10s, 100s etc. means you have to shift the decimal point to the right based on a number of zeros multiplied.

Step-by-step explanation:

Hope I helped u!!!

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

The answer is the first choice

Step-by-step explanation:

because the two goes into 4 and 5, in order for it to be a function the x value has to be used once