The tape diagram shows that there are 90 teeth on a comb.
Teeth
90
Complete the table to show different percentages of the teeth on the comb.
90
100%
Percentage
% of 90 teeth
% of 90 teeth

The equation that should model the number of players left after the tournament would be = f(X) = 32(1-0.5)³. That is option A.

To determine the equation that would represent the statement given above the following needs to be done.

The quantity of players that were eliminated for each round = 1-0.5.

The total number of players = 32

Therefore the correct equation that represents the number of players left after three round would be =

f(X) = 32(1-0.5)³.

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1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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Answer:

x = 103

Step-by-step explanation:

i think

The mean of Vn - u is -u and the variance is (0.02 + y²)/n - 2y².

We can start by computing the mean and variance of the random variable Vn:

First, we compute the expected value or mean of Vn:

E[Vn] = E[√(n) * (X1 + X2 + ... + Xn)/n - y]

By linearity of expectation, we can distribute the expectation and simplify:

E[Vn] = √(n)/n * E[X1 + X2 + ... + Xn] - y

E[Vn] = √(n)/n * (n*y) - y

E[Vn] = 0

Next, we compute the variance of Vn:

Var[Vn] = E[(Vn - E[Vn])²]

Substituting the definition of Vn, we have:

Var[Vn] = E[(√(n) * (X1 + X2 + ... + Xn)/n - y - 0)²]

Simplifying and using the linearity of expectation, we get:

Var[Vn] = 1/n * E[(X1 + X2 + ... + Xn)²] - 2y * √(n)/n * E[X1 + X2 + ... + Xn] + y²

Using the formula for the variance of a sum of independent random variables, we can simplify further:

Var[Vn] = 1/n * (n * Var[X1] + n * E[X1]²) - 2y²

Var[Vn] = 1/n * (n * 0.02 + n * y²) - 2y²

Var[Vn] = (0.02 + y²)/n - 2y²

Finally, we can compute the mean and variance of the random variable Vn - u:

E[Vn - u] = E[Vn] - u = 0 - u = -u

Var[Vn - u] = Var[Vn] = (0.02 + y²)/n - 2y²

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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Firms are developing opportunities in the realm of "mobile communication" through the utilization of devices such as smartphones, tablets, and wearables.

These devices have become an integral part of people's lives, enabling constant connectivity and information access on the go. Businesses recognize the immense potential of mobile communication in reaching and engaging with their target audience.

With the advancement of technology and the proliferation of mobile devices, firms are leveraging this platform to enhance their brand presence, customer interactions, and overall business operations.

Mobile communication allows companies to deliver personalized and targeted content, services, and advertising directly to consumers. It opens up avenues for innovative mobile applications, mobile commerce, and location-based services.

Through mobile communication, firms can establish a direct and interactive relationship with customers, gathering valuable data and insights to inform marketing strategies and improve customer experiences.

They can also leverage the ubiquity and convenience of mobile devices to streamline internal communication, enhance productivity, and facilitate remote work.

The evolving nature of mobile communication presents an ever-expanding landscape for firms to explore and leverage emerging technologies such as augmented reality, artificial intelligence, and the Internet of Things.

This enables them to stay competitive, adapt to changing consumer behaviors, and capitalize on new business opportunities in the mobile-centric world we live in.

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Answer:

You would not subtract 3...

Step-by-step explanation:

It should be

2x- 8= 5x+3

subtract 5x from both sides,

then add 8 onto both sides, then you would get 0 on one side, and 11 on the other so you would have

-3=11 which equals

3.6

Answer

add 8

Step-by-step explanation:

Answer:

He can cut 2 1/3 pieces, so a is the correct answer.

Step-by-step explanation:

\( \frac{6}{7} x = 2\)

\(x = 2 \div \frac{6}{7} = 2 \times \frac{7}{6} = \frac{7}{3} = 2 \frac{1}{3} \)

Answer:

\(2\frac{1}{3}\)

Step-by-step explanation:

So this question is essentially asking how many 6/7s can fit into 2/1. Or in other words, what is 2 divided by 6/7. This gives you the equation: \(\frac{2}{1}\div\frac{6}{7}\). Whenever you're dividing by a fraction, you just keep the first fraction (don't change anything), change the operation (from division to multiplication) and "flip" the fraction so if you had the fraction a/b it's now b/a. This gives you the equation: \(\frac{2}{1}*\frac{7}{6}\). You can now just multiply the denominator and numerator. This gives you the fraction: \(\frac{2*7}{1*6}\) which simplifies to \(\frac{14}{6}\). This can be further simplified by dividing both the numerator and denominator by 2. If you don't know why this keeps the original value think of it as multiplying the fraction by \(\frac{0.5}{0.5}\) or \(\frac{\frac{1}{2}}{\frac{1}{2}}\). Which is technically multiplying the value by 1, so it should keep the original value, you're just simplifying the numerator and denominator. Simplifying it, gives you the fraction: \(\frac{7}{3}\). This can be a mixed fraction by splitting it up into two parts: \(\frac{6}{3}+\frac{1}{3}\). Which when added is the same thing, except the second side simplifies, and you get \(2\frac{1}{3}\)

In give word problem June 25, 1987 fell on Thursday.

What is word problem?

  Math word problems are math problems consisting of one or more sentences that require children to apply their math knowledge to "real world" scenarios. This means that in order to understand word problems, children must be familiar with the vocabulary associated with familiar mathematical symbols. Students must develop models.

One year = 365 days except for leap years = 366 days

52 weeks in a year 7 days per week = 364 days

1982 25th a Friday, if we move 365 days in the next year we end up on the 25th, but the weekday will be Saturday since we have moved 52 weeks + 1 day into the future.

Hence,

1982 25th Friday

1983 25th Saturday (+1 day)

1984 25th Monday (+1 day and +1 extra day for leap year)

1985 25th Tuesday (+1 day)

1986 25th Wednesday (+1 day)

1987 25th = Thursday

If the system had been 364 days per year, every year we would have end up on the same day every year.

Therefore June 25 , 1987 fell on Thursday.

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18 cm

To determine the area of a truangle the formula (b*h) /2 shall be used.

In this problem the base is 9 cm and the height is 4 cm. therefore those two values should be multiplied, thus giving 36cm. Lastly, 36 should be divided by 2 which should be 18 cm.

An arc with 3 units length and 4 units radius has the central angle of 0.75 radians.

The length of an arc is proportional to its central angle.

Let:

l = length of an arc

a = magnitude of the arc's central angle

r  = radius of the corresponding circle

Then, the following holds:

a/2π = l / C

Where C = circumference of the circle = 2 πr

Hence,

a/2π = l / 2 πr

a = l/r  (equation 1)

Parameters given in the problem:

l = 3 units

r = 4 units

Plugs these parameters into equation 1

a = 3/4 = 0.75 radians.

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32 oz is equivalent to 946.35 mL. both are unit of measurement of volume.

To convert ounces (oz) to milliliters (mL), you can use the conversion factor 1 ounce = 29.5735 milliliters. To convert 32 ounces to milliliters, you would multiply 32 by 29.5735, which would give you the answer of 946.35 mL. As the ounce is commonly used in the United States, while the milliliter is used in most other countries,

it's important to always make sure you are using the appropriate unit of measurement for your needs and to convert between units if necessary. Additionally, it's always good to double check your conversions by using a calculator or online conversion tool to ensure accuracy.

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We can conclude that a or b, or both must be negative, which means their product can't be zero. Hence, Z is an integral domain.

An integral domain is a non-zero ring in which the product of any two non-zero elements is also non-zero, that is, there are no divisors of zero. Here are the proofs that (Z, +, *) and (Z5, ⊕, ⊗) are integral domains: Proof that (Z, +, *) is an integral domain: Let a,b ∈ Z and a * b = 0. This implies that a is a divisor of zero or b is a divisor of zero or both are divisors of zero. If a = 0 or b = 0, then either a or b, or both are zero. Assume a and b are non-zero. Then a * b = 0 ⇒ ab - 0. We know that the difference of two non-zero integers is not zero.

Therefore, we can conclude that a or b, or both must be negative, which means their product can't be zero. Hence, Z is an integral domain. Proof that (Z5, ⊕, ⊗) is an integral domain: Let a,b ∈ Z5 and a ⊗ b = 0. This implies that either a = 0 or b = 0 or both are zero. Hence, we need to show that if a,b ≠ 0, then a ⊗ b ≠ 0.If a ⊗ b = 0, then a × b ≡ 0 (mod 5) and hence 5 divides a × b. But 5 is a prime number, and a or b or both should be divisible by 5. It implies that a ⊗ b ≠ 0. Therefore, Z5 is an integral domain.

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Answer:

right angle

Step-by-step explanation:

Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.

Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.

The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.

The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.

These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.

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Answer:

de 200 Pessoa que forum pesquisadas

(h, k) = (-1, -2/3) is the vertex of the parabola.The graph of the given equation y = 3(x + 1)² - 2 will be a parabola with the vertex as (-1,-2). Therefore, option A is correct.

The graph of the given equation y = 3(x + 1)² - 2 will be a parabola with the vertex as (-1,-2).Explanation:We have the given equation:y = 3(x + 1)² - 2The standard form of the equation of a parabola with the vertex as (h, k) is given as(y - k) = a(x - h)²Where (h,k) is the vertex, and a is a constant.To graph the given equation, we need to convert it into the standard form by completing the square as follows:y = 3(x + 1)² - 2y + 2 = 3(x + 1)²y + 2/3 = (x + 1)² / 3Now, we can write the equation in the standard form as:(y + 2/3) = (1/3)(x + 1)²

option A is correct.

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Answer:

y=3/2x-6

Step-by-step explanation:

To find the y=mx+b you need to move the y on one side while moving the others on the other side

First, move the 3x to the other side by subtracting by 3x on both sides:

-2y=-3x+12

Divide by -2 on both sides:

y=3/2x-6

Answer:

y=3/2x-6

Step-by-step explanation:

3x-2y=12

isolate the y:

-2y=-3x+12

get rid of the coefficient in front of y by dividing by -2

y=-3/-2x+12/-2

y=3/2x-6

Answer:

He can only make 9

Step-by-step explanation:

He will have 4 cards left over so it will not be enough to make another stack.

Answer:

9.44444444444 rounded to 9.5

Step-by-step explanation:

maths

After 3 years, the balance in the account would be approximately $2,708.

To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final balance

P is the principal amount (initial deposit)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case:

P = $2500

r = 2.5% = 0.025 (as a decimal)

n = 12 (monthly compounding)

t = 3 years

Plugging in these values into the formula, we get:

A = $2500(1 + 0.025/12)^(12*3)

A = $2500(1.00208333333)^(36)

Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:

A ≈ $2500(1.083282498) ≈ $2708.21

Therefore, after 3 years, the balance in the account would be approximately $2,708.

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The probability of selecting three cans of apple juice is 0.01915

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of selecting three cans of apple juice = (number of apple cans / total number of cans) x {(number of apple cans  / total number of cans) -1 }x {(number of apple cans / total number of cans) -1}]

total number of cans = 8 + 6 + 7 + 6 = 27

The probability of selecting three cans of apple juice = (8/27 x 7/26 x 6/25 = 0.01915

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Answer:

\(\frac{11}{4}\) or 2 \(\frac{3}{4}\)

Step-by-step explanation:

Here is one way to solve this problem

2x - \(\frac{7}{4}\) = x + 1  (3/3 is another way to write one)  Multiply all the way through by 4

4(2x - \(\frac{7}{4}\)) = 4(x + 1)  Distributive property

8x -7 = 4x +4  Subtract 4x from both sides

4x - 7 = 4  Add 11 to both sides

4x = 11  Divide both sides by 4

x = \(\frac{11}{4}\)

Answer:

8

Step-by-step explanation:

4/6 out of 12 is 8,so There are 8 black birds.

Hope this helps

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are the nearest integers, and 6 is right in between them

Answer:

5 and 7.

Step-by-step explanation:

Integers are whole numbers, therefore numbers such as 5 or 6 would be an integer, but something like 3.5 or a fraction would not be an integer. Hope this helps!

The dimensions of the fence for the pool are 21.5 feet by 34.5 feet.

Sarah, Noah, and Sidney were tasked with building a rectangular fence for Mrs. Crawford's new pool. With 112 feet of fencing, they needed to determine the dimensions of the fence to ensure they had enough material. Let's assign variables to the length and width of the fence. Let x be the width, then the length would be 13 feet longer, or x+13.

To find the perimeter of the rectangle, we can use the formula:

Perimeter = 2(length + width)

Substituting in the variables we assigned:

112 = 2(x+13 + x)

Simplifying:

56 = 2x + 13

43 = 2x

x = 21.5

So the width of the fence is 21.5 feet and the length is 13 feet longer, or 34.5 feet.

Therefore, the dimensions of the fence for the pool are 21.5 feet by 34.5 feet.

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Answer:

y = -3/4x + 9

Step-by-step explanation:

first, find the slope by taking the difference of the y-values / difference of the x-values

(-3-12) / (16-(-4)) which equals -15/20 or -3/4

now use that value to represent the 'm' in the formula in order to find 'b'

y = mx + b

-3 = -3/4(16) + b

-3 = -12 + b

9 = b

y = -3/4x + 9