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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Here are the examples of functions in real life.

1. ATM

If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.

2.Places you can drive with Two Gallons of Fuel

If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.

3. Number of Sodas in a Vending Machine

The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.

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The fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.

The normal distribution or bell-shaped curve are other names for the Gaussian distribution. The mean divides the normal distribution into two equal pieces, making the mean symmetrical. In a normal distribution, the mean determines the curve's height, while the standard deviation determines its width.

So the tails on a normal distribution go on forever and never touch the​ x-axis.

Therefore, the fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.

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Answer:

[tex]8+2z[/tex]

Step-by-step explanation:

[tex]Rule: a\left(b+c\right)=ab+ac\\= 2\left(4+z\right)=2\cdot \:4+2z\\2\cdot \:4+2z\\2\cdot \:4=8\\=8+2z[/tex]

For the given question;

The total number of school students = 4000.

Percentage student of boys; 40%.

Thus the percentage of girls; 100 - 40 = 60

Thus, the total percentage of girls are 60%.

For finding the number of girls find the 60% of the total school students.

= 60% of 4000

= 60% × 4000

= (60×4000)/100

= 60×40

= 2400

Thus, the number of school girls are 2400.

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The purchase price of a 5-year zero coupon bond will be $768.87.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Let x be the price before 5 years.

If it is purchased today and has a face value of $1,000. Then we have

(1 + 0.046)(1 + 0.049)(1 + 0.052)(1 + 0.055)(1 + 0.068) x = 1000

(1.046 × 1.049 × 1.052 × 1.055 × 1.068) x = 1000

1.3 x = 1000

x = $768.87

The purchase price of a 5-year zero coupon bond will be $768.87.

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The equation of the circle in the standard form is:

(x + 13)² + (y - 13)² = 4².

For the given question;

The centre of the circle lies at (-13, 13).

Thus, (h. k) = (-13, 13).

The radius 'r' of the circle is 4 units.

Put the values in the standard form.

(x - (-13))² + (y - 13)² = 4²

(x + 13)² + (y - 13)² = 4² is the (standard form)

Therefore, the equation of the circle with radius 4 in the standard form is represented as: (x + 13)² + (y - 13)² = 4²  

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The ages of Olivia and her brother are 10 years and 11 years respectively

Let x₁, and x₂ be the ages of Olivia and her brother respectively.

Given that Olivia's brother is twice her age minus 9 years.

⇒ x₂ = 2x₁ - 9 → equation 1

Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.

⇒ x₂ = 1/2 × (x₁ + 12) → equation 2

Using equation 1 in equation 2, we get

2x₁ - 9 = 1/2 × (x₁ + 12)

⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)

⇒ 4x₁ - x₁ = 12 + 18

⇒ 3x₁ = 30

⇒ x₁ = 10 (dividing by 3 on both sides)

Using the value of x₁, in equation 1,

⇒ x₂ = 2(10) - 9

⇒ x₂ = 20 - 9

⇒ x₂ = 11

Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.

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Answer: No.

Step-by-step explanation: The sides are all different. Therefore, it cannot be a right angle.

(i think)

Answer:

Yes.

Step-by-step explanation:

By converse of Pythagoras' Theorem,

[tex]5 {}^{2} = 4 {}^{2} + 3 {}^{2} [/tex]

25 = 16 + 9

Therefore, the triangle is a right-angled triangle.

Hope this helped! ^^

Answer:

[tex]f(x) = 12 + \frac34x[/tex]

Step-by-step explanation:

Hello!

Function notation simply means replacing the term y with f(x).

Given the equation: y = 3/4x + 12

The equation in function notation is [tex]f(x) = \frac34 x + 12[/tex].

The meaning of f is just the name of the function. x is the variable being used in the function. Therefore, it can also be written as g(y), s(d), or e(f), as long as the variable inside the parenthesis exists in the equation.

Suppose you see a number in the spot for the variable. In that case, you are replacing the variable in that equation to evaluate when the x-value is that number.

Interpreting this will tell you the value of y when x is 1. The y-value is 2.

The coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

The coordinates of the triangle in the figure are

P = (-5, -3)

K = (-3, -1)

Y = (-1, -4)

The transformation is given as 180 degrees rotation

The rule of this transformation is

(x, y) = (-x, -y)

When this is applied on the triangle, we have the coordinates of the new triangle to be

P' = (5, 3)

K' = (3, 1)

Y' = (1, 4)

Hence, the coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

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Answer:

32028464937583748374

Answer:

36%

Step-by-step explanation:

19.44 = ( ? percent ) × 54

This is the question in an equation form :

Divide both sides by 54 :

19.44 ÷ 54 = (? percent )

0.36 = ? percent

0.36 as a percentage is

0.36 ×100 = 36%

Hope this helped and have a good day

The sum of the frequencies

Let’s assume hypothetical data, various values occur multiple times and we have divided that given data or values into a certain interval that interval is termed a class, and the lower value is called the lower limit and the upper interval is called the lower limit of that class respectively.

Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values when we add all these frequencies, we will get the number of elements in the given data.

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Although part of the question is missing the question is the following histogram summarizes the amount spent on plane tickets to travel home in dollars for a group of 30 college students. If the interval size is decreased from $200 to $100 which of the following must remain the same on the new histogram?

Answer: b 2550

Step-by-step explanation:

Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

As given in the question,

Coordinates of vertices K(-2,1) and M(10,6)

KM = [tex]\sqrt{ (10-(-2)^{2} +(6-1)^{2} }[/tex]

      = [tex]\sqrt{12^{2}+5^{2} }[/tex]

      = 13units

In equilateral triangle  KL = LM = KM = 13 units

Perimeter of equilateral triangle KLM = 13 +13 +13

                                                           = 39 units

Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

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Answer: If there is a drawing  then  try copy that exact drawing but move it 2 units or squares down and 3 units or squares to the left  

Step-by-step explanation:

1125  money will she have at the end of 10 years in the account  after Simple Interest.

What is a basic example and interest?

Mary plans to invest = 2500

t = 10 yr

r = 4.5 %

simple intrest = prt/100

                       = 2500 * 10 * 4.5 /100

                        = 1125

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A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best.

"The set point is established over time," Harrison explains. "It's a complicated thing, but it appears to be your body's attempt to regulate itself, which results in a certain weight."

Even if set point theory is correct, it is possible to lose weight and keep it off. Avoiding fad diets and gradually losing weight may change your set point. It may allow your body to adjust to your new eating habits. You may be more successful if you seek the assistance of a therapist or a dietitian.

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best. It is the weight that our bodies can easily maintain—no micromanaging, counting calories, weighing food, and so on.

The point of weight A has been given in the figure.

The complete question is;

If p = 2/3, point b has a weight of 2, and point C has a weight of 4, find the weight of point A.

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The dimensions of the rectangle that has the perimeter 134 inches is, 52 x 15 inches.

Perimeter of the Rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides.

The formula for the perimeter of a rectangle,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

The length of a rectangle is seven more than triple the width.

Perimeter of the rectangle = 134inches.

Now we need to find the dimensions of the rectangle.

First, let's define the length of the rectangle as l and the width of the rectangle as w.

Next, we can write the relationship between the length and width as:

l = 3w + 7

We also know the formula for the perimeter of a rectangle is:

=> p = 2(l + w)

So, apply the given values on it,

=> 134 = 2 (3w + 7 + w)

=> 134/2 = 4w + 7

=> 67 = 4w + 7

=> 67 -7 = 4w

=> 4w = 60

=> w = 60/4

=> w = 15

So, the length is,

=> l = 3(15) + 7

=> l = 45 +7

=> l = 52.

Therefore, the dimensions of the rectangle is 52 x 15 inches.

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The minimum and maximum distance from the earth to the sun are 91.4 and 94.5 million miles respectively.

Absolute values are the value of any digit without considering the sign.

So all negative values will be considered positive for absolute value.

For example, the absolute value of -2 will be 2 and the absolute value of -7 will be 7.

Given that,

The average distance from the earth to the sun is 92.95 million miles.

Actual is varies by 1.55 million miles.

Minimum value  = | 92.95 - 1.55 | = 91.4 million mile

Maximum value =  | 92.95 +1.55 | = 94.5 million mile

Hence "The minimum and maximum distance from the earth to the sun are 91.4 and 94.5 million miles respectively".

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Answer: p = 4s

Step-by-step explanation:

     The perimeter is the measurement around a shape's sides. In other words, if a square has four sides, we will add up all the sides to find the perimeter.

      Since a square's sides are all congruent, we can multiply the length of one side (s) by 4 to find the total perimeter (p). This becomes:

      p = 4s

(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

Therefore, (C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

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The complete question is given below:
Which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?

A) 1 gallon/4 quarts

B) 1 liter/1000 ml

C) 1 mile/0.62 km

D) 1 000 m/1 km

5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy

[tex]- 4 - 9 = - 13[/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

An empty set is subset of each and every possible set, as it has no elements in it, which is why the given statement is " True "

Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

The domain of the function is [2,8] while the range is [6,24].

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given the function,

p(c) = 3c

Now since Marisol can buy at least 2 cupcakes, but no more than 8.

So,

2 ≤ c ≤ 8 will be the domain of the function.

And,

p(2) = 3(2) = 6

p(8) = 3(8) = 24

So the range is 6 ≤ p(c) ≤ 24.

Hence "The domain of the function is [2,8] while the range is [6,24]".

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