Tony buys and downloads a film from the internet. The film is 720 MB in size. A Tony's internet download speed is 1.2 MB per second. If he starts the download at 17:00, at what time will the download finish?​

Answer:

15 long-sleeved shirts can be ordered.

Step-by-step explanation:

x = amount of short-sleeved.

y = amount of long-sleeved.

10x + 12y = 300

10(12) + 12y = 300

120 + 12y = 300

12y = 300 - 120

12y = 180

y = 180 / 12

y = 15

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The length of the base of the rectangle is 11.9 yards if it has a perimeter of 57.6 yards.

We can determine the length of the base of the given rectangle by using the following for the perimeter as follows;

P = 2 ( L + W )

Here L represents length, W represents width and P represents the perimeter.

Since the height of the rectangle is 16.9 yards and we have to find the length of the base, the height can be considered to be the width of the rectangle. Therefore;

57.6 = 2 ( L + 16.9 )

57.6 = 2L + 33.8

2L = 57.6 - 33.8

2L = 23.8

L = 23.8 ÷ 2

L = 11.9

Therefore; the length of the base is calculated to be 11.9 yards.

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Answer:

\(-16/5 < s < 4\)

Step-by-step explanation:

\(|5s-2|-6 < 12 \\ |5s-2| < 18 \\-(5s-2) < 18 \\ -5s+2 < 18 \\ -5s < 16 \\ -s < (16/5) \\ s > -(16/5) \\(5s-2) < 18 \\ 5s < 20 \\ s < 4 \\= -16/5 < s < 4\)

The percentage of the students are between 62 and 69 inches tall is 46.0%

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

Mean = 69

Standard deviation = 4

Scores = between 62 and 69

So, the z-scores are

z = (62 - 69)/4 = -1,75

z = (69 - 69)/4 = 0

i.e. between a z-score of -1.75 and a z-score of 0

This is represented as

Probability = (-1.75 < z < 0)

Using a graphing calculator, we have

Probability =  0.45994

Approximate

Probability =  46.0%

Hence, the probability is 46.0%

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There are 119 diagonals in a regular heptadecagon (17-sided polygon).

Heptadecagon is the 17-sided polygon. It has seventeen sides, seventeen vertices, and seventeen interior angles. It is represented as 17-gon.

So, in heptadecagon, there are 17 vertices.

Which each vertex:

So, 17 vertices with 14 diagonals per vertex = 17 * 14 = 238

But we have double-counted, because each diagonal is actually shared by two vertices, thus the correct result is 238 / 2 = 119.

Hence, a regular heptadecagon has 119 diagonals.

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Answer:

The Answer is B

Answer:

A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. A rectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides. It confused me that a parallelogram is never considered a rectangle, ... This is simply not true.

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

Hope this helps you

Step-by-step explanation:

Equation:  y = 12x + 0

Explaination: A proportional relationship is one in which two quantities vary directly with each other. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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As θ ∈ [0, 2π), we have another solution at θ = 2π. Thus, this gives n solutions.

Given: n ∈ Z and n > 2, prove that z¯ = zn−1 has n+1 solutions.

Proof:Let z = r(cos θ + i sin θ) be the polar form of z, where r > 0 and θ ∈ [0, 2π).Then, zn = rⁿ(cos nθ + i sin nθ)and, z¯ = rⁿ(cos nθ - i sin nθ)

Now, z¯ = zn−1 will imply that: rⁿ(cos nθ - i sin nθ) = rⁿ(cos (n-1)θ + i sin (n-1)θ).

As the moduli on both sides are the same, it follows that cos nθ = cos (n-1)θ and sin nθ = -sin (n-1)θ.

Thus, 2cos(θ/2)sin[(n-1)θ + θ/2] = 0 or cos(θ/2)sin[(n-1)θ + θ/2] = 0.

As n > 2, we know that n - 1 ≥ 1.

Thus, there are two cases:

Case 1: θ/2 = kπ, where k ∈ Z. This gives n solutions.

Case 2: sin[(n-1)θ + θ/2] = 0. This gives (n-1) solutions.

However,as [0, 2], we have a different answer at [2:2].

Thus, this gives n solutions.∴ The total number of solutions is n + 1.

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Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

Answer:

9x?

Step-by-step explanation:

The value of h(x + 2) is 9x

Give that;

h(x) = 9x - 18

Find:

The value of h(x + 2)

Computation:

We know that;

h(x) = 9x - 18

By putting (x + 2) at place of x

So,

h(x + 2) = 9(x + 2) - 18

h(x + 2) = 9x + 18 - 18

h(x + 2) = 9x

The value of h(x + 2) = 9x

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The number of nights will be 8.62 when the Hotel B charge is less than A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that hotel, A charges $179 per night with a 14% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one-time $40 parking fee. The number of the nights will be calculated as below:-

From the given data from the equations:-

A = 179 + ( 0.14 x 179 ) x

A = 204.06x

B = ( 169 + ( 0.18 x 169 )x + 40

B = 199.42x + 40

Equate the two equations:-

204.06x = 199.42x + 40

4.64x = 40

x = 40 / 4.64

x = 8.62 nights

Therefore, the number of nights will be 8.62 when the Hotel B charge is less than A.

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Answer

g= 3 1/2 (#D)

Step-by-step explanation:

The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Answer:

A

Step-by-step explanation:

2(6)-3(4)=0<9

9. Both triangles are congruent using SSS Congruency rule.

10. Using SAS Congruency ∠Q ≅ ∠S.

Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram.

The opposite angles of a parallelogram are congruent. The consecutive angles are supplementary.

When two lines cross four angles are created and the opposite angles are equal.

You have learned that a parallelogram is a closed, plane figure with four sides. It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° and any two adjacent angles are supplementary, meaning they add to 180°. Opposite (non-adjacent) angles are congruent.

9. Given PQ = RS

PS = QR

SQ = SQ (same side)

Congruency by SSS Congruency rule

10. Given PQ = RS

PS = QR

Using SAS Congruency

∠Q ≅ ∠S

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The value of the segment CD will be equal to 19.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that BD bisects ∠ABC, AD = 3z + 7, and CD = 2z + 11. The value of CD will be calculated by an equation of the two values,

AD = CD

3z + 7 = 2z + 11

3z - 2z = 11 - 7

z = 4

CD = 2z + 11

CD = 2 x 8 + 11

CD = 19

Therefore, the value of the segment CD will be equal to 19.

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A p-value conveys the type of probabilistic result known as "statistical significance." Statistical significance refers to the likelihood that a given result occurred by chance.

A p-value is a measure of this likelihood, with a smaller p-value indicating a smaller likelihood that the result occurred by chance. In other words, a smaller p-value indicates a higher level of statistical significance.

For example, if a p-value is 0.01, this means that there is a 1% chance that the result occurred by chance. This is considered to be statistically significant, as it is unlikely that the result occurred by chance. On the other hand, if a p-value is 0.5, this means that there is a 50% chance that the result occurred by chance. This is not considered to be statistically significant, as it is equally likely that the result occurred by chance or not.

In summary, a p-value conveys the type of probabilistic result known as statistical significance, with smaller p-values indicating a higher level of statistical significance.

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Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4:   10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6:  14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

Answer:

B

Step-by-step explanation:

Answer:

$4.20 Per month = $4.2/1month

Step-by-step explanation:

1 year = 12 months

Proportions:

12 months ⇒ $48.24

1 month ⇒ $P

P = 48.24*1/12

P = $4.2

The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.

Let's consider the following interpretation:

Domain of discourse: {1, 2}

A(x): x is even

B(x): x is odd

Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).

However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.

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Answer:

..

Step-by-step explanation:

For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

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Answer:

16 negative tiles are split into 2 groups of 8 negative tiles.

Negative 16 divided by 3

Negative 16 divided by 2

Negative 8 divided by 8

Negative 8 divided by 2

Step-by-step explanation: