An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model P = -2²+ 17t + 180, where 1 st≤ 6. Find the day that 210 students had the flu. Recall that the restriction on this at most 6.
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The problem with solving 1110 - 1110 using 2's complement in 7-bit data representation is that it results in an overflow, and to overcome this, either increase the number of bits or use a larger data type for representation.

We are subtracting 1110 from 1110 using 2's complement and using 7-bit data representation. Let's go through the steps:

Step 1: Convert 1110 to its 2's complement representation in 7 bits:

  - In 7 bits, the leftmost bit is the sign bit.

  - Since the leftmost bit of 1110 is 1 (indicating a negative number), we can simply represent it as it is: 1110.

Step 2: Perform the subtraction using 2's complement:

  1  1  1  0

- 1  1  1  0

------------

  0 0 0 0

The result of the subtraction is 0000. However, this result is problematic because it is not within the range that can be represented with 7 bits using 2's complement.

To overcome this problem and prevent overflow, we can take the following steps:

1. Increase the number of bits: Increase the number of bits used for representing the numbers. Using more bits allows for a larger range of representable numbers and reduces the chance of overflow. If possible, use more bits for data representation.

2. Use a larger data type: If using a fixed number of bits is a requirement, consider using a larger data type, such as a larger integer type, that can accommodate the expected range of values without overflow.

3. Check for overflow conditions: Before performing arithmetic operations, check for potential overflow conditions. For example, when subtracting two negative numbers or adding two positive numbers, the result should have a different sign. If the signs of the operands are the same and the result has the opposite sign, it indicates overflow.

4. Handle overflow cases: If overflow occurs, take appropriate actions based on the specific requirements of your application. This could involve truncating or discarding the most significant bits of the result or applying additional logic to handle the overflow condition appropriately.

By considering these suggestions and adjusting the number of bits or data type used for data representation, you can overcome the problem of overflow when performing arithmetic operations using 2's complement.

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Answer:

The answer is 5 2/15.

Step-by-step explanation:

Well, you just do 4/5 - 2/3 then add 5 as the whole number.

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

324cm^3

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)

1/2 × 6 × 9 × 12 = 324cm^3

The total number of hits John needs over the first 10 games next year to

achieve his goal is 25.

The correct answer is option 4.

To find the total number of hits John needs over the first 10 games next year to achieve his goal, we first need to calculate his current average hits per game.

The total number of hits John made in the 10 games this year is: 2 + 3 + 0 + 1 + 3 + 2 + 4 + 0 + 2 + 3 = 20.

To find the average hits per game, we divide the total number of hits (20) by the number of games (10): 20 / 10 = 2.

Since John wants to increase his average hits per game by 0.5, his target average for the next 10 games will be 2 + 0.5 = 2.5 hits per game.

To calculate the total number of hits John needs over the next 10 games, we multiply the target average by the number of games: 2.5 hits/game * 10 games = 25 hits.

Therefore, the correct answer is option 4) 25. John needs a total of 25 hits over the first 10 games next year to achieve his goal of increasing his average hits per game by 0.5.

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Answer:

Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)

Step-by-step explanation:

Answer:

They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.

" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."

I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.

Step-by-step explanation:

Answer:

21021

Step-by-step explanation:

The efficient outcome in the market for milk portrayed in the figure would be where the marginal cost (MC) curve intersects with the demand (D) curve, which is at a price of $3 per gallon.

To determine which price yields an efficient outcome in the market for milk, we need to find the equilibrium price. The equilibrium price is where the supply and demand curves intersect, which represents the point at which the quantity demanded equals the quantity supplied.

                                At this price, the quantity of milk produced and consumed will be at the socially optimal level where the marginal benefit (MB) equals the MC, resulting in a Pareto efficient outcome. It is important to note that this assumes no externalities or market failures are present in the market for milk.

1. Identify the supply and demand curves in the figure. The demand curve typically slopes downward, while the supply curve slopes upward.
2. Locate the point where the supply and demand curves intersect.
3. Find the price corresponding to this point on the vertical axis (price axis).

The equilibrium price found in step 3 is the price that yields an efficient outcome in the market for milk.

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The value of x in the rhombus is 3.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

The diagonals of a rhombus bisect the angles. The opposite angles of a rhombus are equal to each other.  The adjacent angles are supplementary.

Therefore,

m∠ZRY = 90°

m∠RYZ =  136 / 2 = 68°

Therefore,

10x - 8 + 90 + 68 = 180(sum of angles in the triangleRZY)

10x + 60 = 180 - 90

10x = 90 - 60

10x = 30

divide both sides by 10

x = 30 / 10

x = 3

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Answer:

30ft

Step-by-step explanation:

It says that triangle DEF is equal to triangle GHJ, meaning they are congruent. This would automatically mean that the side length of the triangles would be the same. The side length of triangle DEF is 30ft so that would be the same in triangle GHJ.

Step-by-step explanation:

first you should do is that find the common difference which is 9

Answer:

5x

Step-by-step explanation:

We need to solve the given expression.

\((\dfrac{1}{125x^3})^{-1/3}\)

We know that,

\((\dfrac{1}{125x^3})^{-1/3}=(\dfrac{1}{(5x)^3})^{-1/3}\\\\=(\dfrac{1}{(5x)^{3\times \dfrac{-1}{3}}})\\\\=\dfrac{1}{(5x)^{-1}}\)

We know that, \(\dfrac{1}{x^{-a}}=x^a\)

so,

\(\dfrac{1}{(5x)^{-1}}=5x\)

So, the required answer is 5x.

Answer:

76

Step-by-step explanation:

Put the numbers in order from least to greatest.

72, 73, 75, 76, 76, 79, 83, 86

Then, cross off each number at each end until you reach the one in the middle. Which, since they are the same, is 76.

The amount of money that Anna made from the sale of the given book is; $112500

We are told that;

Percentage commission on each sale of a book to a publisher = 15%

Amount paid for the client's book by ABC publisher = $750000

Since Anna is paid 15% of the sales, then it means that;

Amount of money gotten by anna for this sale is;

Amount earned = 15% * 750000

Amount earned = $112500

We conclude that is the amount anna made for the sale of the book of her client to the publisher.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Linear equation.

answer is

====> 4n-7

Answer:

4n-7

Step-by-step explanation:

sam has 4 times as many baseball cards as Declan.=4n

Amaya has 7 fewer baseball cards than sam.= -7

Always put the multiplication first.

Answer:

yes

Step-by-step explanation:

as long as one input does not have two different outputs it is a function

Answer:

Step-by-step explanation:

we remove the parenthesis and we need to be be careful at the signs

-12x+6-2x=-14x+6

Answer:x=7, y= 8

Step-by-step explanation: y= x+1, put in 2nd equaiton to get, -7x + 6x+6 =- 1, -x = -7, x=7. -7+y=1 ,y=8

Answer:

(x,y)=(7,8)

Step-by-step explanation:

-x + y = 1

-7x + 6y = -1

x=-1+y

-7(-1+y)+6y=-1

7+(-7y)+6y=-1

-y=-8

y=8

x=-1+8

x=7

Answer:

Inequality Form:  x ≤ 1

Interval Notation:  (−∞, 1]

Step-by-step explanation:

24 ≤ 8 (7 − 4x)

Rewrite so x is on the left side of the inequality.

  8 (7 − 4x) ≥ 24

Divide each term by 8 and simplify.

Divide each term in 8 (7 − 4x) ≥ 24 by 8.

  8 (7 − 4x)/8   ≥      24/8

Cancel the common factor of 8.

  7 − 4x  ≥ 24/ 8

Divide 24 by 8.

  7 − 4x  ≥ 3

Move all terms not containing x to the right side of the inequality.

  −4x  ≥ −4

Divide each term by −4 and simplify.

  x ≤ 1

The result can be shown in multiple forms.

Inequality Form: x ≤ 1

Interval Notation: (−∞, 1]

Given the selling prices for homes in a certain community are approximately normally distributed

Mean = μ = $321,000

Standard deviation = σ = $38,000

For the following cases, we will find the z-score as follows:

And we will use the following chart:

Estimate the percentage of homes in this community with selling prices:

A) between $245,000 and $397,000

So, the z-score for the given prices will be:

So, the percentage when -2 < z < 2 will be as shown from the chart = 95%

B) above $435,000

The area under the curve = 100%

So, the percentage when z > 3 will be = 0.5%

C) below $283,000

so, the percentage when z < -1 will be = 50 - 34 = 16%

D) between $283,000 and $435,000

We will find the percentage in case if: -1 < z < 3

So, the percentage will be = 34 + 34 + 13.5 + 2 = 83.5%

Step-by-step explanation:

3:74

x:2500

(3x2500)/74

=101

Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

50%. 24 is half of 48. So, 50% of 48 if 24.

Answer:

hope it is helpful to you

Answer:

16

Step-by-step explanation:

So, we know it isn't D. We've narrowed it down to the top 3 answers now we would have to Divide 39 and 7 that would equal to 19.5. So, it could be A or B now. It says less 7 years, so we would know have to do this 39 - 7 = 32 32 / 2 = 16.

Therefore your answer is 16

the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

To determine the local time and day in Anchorage when the satellite image was taken, we need to consider the time difference between the Prime Meridian (0 degrees longitude) and Anchorage, Alaska (approximately 150 degrees west longitude).

Each time zone is approximately 15 degrees wide, representing a one-hour difference in local time. Anchorage is in the Alaska Standard Time (AKST) zone, which is typically UTC-9 (nine hours behind UTC) during standard time.

Given that Anchorage is about 150 degrees west of the Prime Meridian, we can calculate the time difference as follows:

150 degrees / 15 degrees per hour = 10 hours

Therefore, when the image was taken at 0300Z (3:00 AM), Dec. 3, 2011, at the Prime Meridian, the local time and day in Anchorage were:

3:00 AM - 10 hours = 5:00 PM, Dec. 2, 2011

So, the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

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Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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Let's simplify step-by-step

8y-3x/4/4 -(-7+5x/3)

Distribute:

=-3/16 x +1/2 y+-5/3 x+7/3

Combine like terms:

=-3/16x+1/2 y +-5/3x+7/3

=(-3/16x+-5/3x)+(1/2y)+(7/3)

=-89/48x +1/2y+7/3

Answer: -89/48x+1/2y+7/3

Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).

What is vector ?

Vector is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

A linear combination of vectors u and v is a vector of the form c1u + c2v, where c1 and c2 are scalars. There are infinitely many possible linear combinations of u and v, here are three examples:

c1u + c2v = (1) (3, -2) + (2) (-1, -5) = (3 + -2, -2 - 10) = (1, -12)

c1u + c2v = (0.5) (3, -2) + (-1) (-1, -5) = (1.5 + 1, -2 - 5) = (2.5, -7)

c1u + c2v = (2) (3, -2) + (-0.5) (-1, -5) = (6 + 0.5, -2 - 2.5) = (6.5, -4.5)

that these are just three examples, there are many more possible linear combinations of u and v.

Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).

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f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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