Suppose there are 1000 lockers in a school hallway and they are all closed. Only 50 students
come through the hallway and start opening and closing the lockers. The first student opened all
the lockers. The second student closed every second locker and so forth. The Third student
changes the state of every 3rd locker. The fourth student changes the state of every 4th locker,
the fifth student changes the state of every 5th locker and so on, until the 50th student.
a. What is the state of the following locker numbers: #91, #1505, #625, #1000?
i. How do you know? (please show how you know)

As per the given model for number of students given as a function of time since 1986 and relevant since 2000 , the number of students in 2010 is 14.67 millions.

As given,

Number of students given by formula

N =-0.033t² +0.46t +13.37

N =enrollments of students in millions

t =time

Relevant since 2000 we have to calculate N(10) ,it means after 10 years that is 2010

N(10) =-0.033×(10)² +0.46×10 +13.37

         =-3.3 +4.6 +13.37

         =14.67 millions

Therefore, number of students in 2010 is 14.67 millions is the correct option for the given model.

The complete question is :

One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is  the formula below

N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain what does N(10) means

a. Year 2010, N = 14.67 millions

b. Year 2008 , N = 11.45 millions

c. Year 2010 , N = 12.32 millions

d. Year 2008 , N = 12.12 millions

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Answer:

[tex](x-2)^2=4(y+5)[/tex]

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry

[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h,k+p)[/tex]

[tex]\textsf{Directrix}:y=(k-p)[/tex]

[tex]\textsf{Axis of symmetry}:x=h[/tex]

If p > 0, the parabola opens upwards.

If p < 0, the parabola opens downwards.

From inspection of the given graph:

Therefore:

Substitute the found values of h, k and p into the formula:

[tex]\implies (x-2)^2=4(1)(y-(-5))[/tex]

[tex]\implies (x-2)^2=4(y+5)[/tex]

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Step-by-step explanation:

[tex]4 + 9 - ( - 2) \\ 4 + 9 + 2 = 15[/tex]

Answer:

15

Step-by-step explanation:

➲ Solve

    [tex]4+9=13\\13-\left(-2\right)\\-\left(-2\right)=+2\\13+2\\13+2=15[/tex]

Answer:

I assumed you meant to write √28 + √1,296. The answer is 2√7 + 36.

Step-by-step explanation:

[tex]\sqrt{4 * 7} + \sqrt{1296} \\\sqrt{2^2 * 7} + \sqrt{1296}\\2\sqrt{7} + \sqrt{1296}\\ 2\sqrt{7} + \sqrt{36^2}\\= 2\sqrt{7} + 36[/tex]

Answer:

I am pretty sure that it is 5A

Answer:

All of the options.

Step-by-step explanation:

We first subtract 8 from both sides. We now divide both sides by -1. However, something to keep in mind, is when you multiply/divide by a negative number, you just flip the sign. In this case, we need to divide both sides of the equation by -1, to get b and our answer. So now, we need to find an answer from our answer choices that is smaller than -19. I think all of them would be right in this case, as they fit the equation. So all of them should be right (: As if you plug in the values, you get answers that could be solutions to the equation!

I hope this helps, have a blessed day!

The percentage of its original price is -17.65%

The given parameters are

Selling price = $59.50

Original price = $70

The percentage of the original price is calculated as

Percentage = (Selling price - Original price)/Original price * 100%

Substitute the known values in the above equation

So, we have

Percentage = (59.50 - 70)/59.50 * 100%

Evaluate the difference in the above equation

So, we have

Percentage = -10.5/59.50 * 100%

Evaluate the quotient in the above equation

So, we have

Percentage = -0.1765 * 100%

Evaluate the product in the above equation

So, we have

Percentage = -17.65%

Hence, the percentage of its original price is -17.65%

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Answer:

Answer is 3

Step-by-step explanation:

they want to know or ask what time the three plus the five will give u 14.

Answer:

Factors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Prime Factors of 1530 : 2 * 3 * 3 * 5 * 17

Answer:

Quadrant 4

A''(0, 3)

Step-by-step explanation:

Answer: 20

Calculator helps lol

As you increase the input number size(increase the o. of bits) the simulator is going to perform more calculation to get the value of newly added bits by calculating 2^n (for nth bit!) and hence the running time complexity will increase exponentially .

Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected by conductive wires or traces that allow electric current to flow between them. It is a specific kind of electrical circuit, and in order for a circuit to be called electronic rather than electrical, there usually needs to be at least one active component present. Signals may be amplified, calculations can be made, and data can be transported from one location to another thanks to the combination of components and wires.

Although discrete components can be assembled into circuits and connected by single wires, it is now far more typical to use photolithographic processes to make interconnections on laminated substrates and solder the individual components to these linkages.

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Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

We are given that:

Jeffrey has 8 worms

The 4 worms in it has the length of 3 inches.

The expression would become:

Length = 4 × 3

Also, we are given that the rest 4 worms are of equal length.

Let that equal length be x

The expression becomes:

Length = 4 × x = 4 x

Also, we are given that the total length of the worms = 32 inches.

The equation becomes:

32 = 3 × 4 + 4 × x

4 ( x + 3 ) = 32

Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

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When Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800as annual income then the amount invested at 11% is $20000

Given,

The total amount Mardi received = $60000

She invested part at 11% and deposited the remainder in tax-free bonds at 12%.

Annual income from the investment = $6800

Consider the part of money invested at 11% as x

Then the equation will become

(60000-x)0.11+0.12x =6800

6600-0.11x+0.12x =6800

0.01x+6600=6800

0.01x=200

x= $20000

Hence, when Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800 as annual income then the amount invested at 11% is $20000

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Answer:

no d

Radius is changed

Step-by-step explanation:

Answer:

see method below

Step-by-step explanation:

circum = 2πr

= 2 x π x 15.9

work that out and will give you the answer in inches

you can use a calculator for π or use 3.142

Answer: 99.9

Step-by-step explanation:

2⋅15.9⋅π

C= 31.8π

99.9

The rule for the function g(x) is:

g(x) = 1.15*(x^2 - 3x -16)

First we know that the function f(x) is f(x) = x^2 - 7x

And we know that h(x) is a translation of 6 units down and 2 units to the left of f(x), then:

h(x) = f(x + 2) - 6

Now we know that g(x) is 115% of h(x), then we can write:

g(x) = 1.15*h(x)

Replacing h(x) by the rule above we get:

g(x) = 1.15*(f(x + 2) - 6)

Replacing the actual function there:

g(x) = 1.15*( (x + 2)^2 - 7*(x + 2) - 6)

g(x) = 1.15*( x^2 + 4x + 4 - 7x - 14 - 6)

g(x) = 1.15*(x^2 - 3x -16)

This is the rule for function g(x).

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It took Noah 27 minutes to run from mile marker 1 to mile marker 2, by basic algebra.

Now,

Given:

To find: Total time taken to run from mile marker 1 to mile marker 4.

Finding:

By basic algebra, we can say that:

The total time taken = Time taken to run from mile marker 1 to mile marker 2 + Time taken to run from mile marker 2 to mile marker 4

=> Total time taken = 8 minutes + 19 minutes = 27 minutes.

Hence, It took Noah 27 minutes to run from mile marker 1 to mile marker 2, by basic algebra.

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Answer:14 zebras 22 orangutans

Step-by-step explanation: 14x4=56 22x2=44 56+44=100

Answer: 17. Domain: x is all real numbers

Range: y>=0

18. r=2

Step-by-step explanation:

17. f(x)=|x-2|

|x-2|>=0

x-2>=0

x>=2

x-2=<0

x=<2

x can be less than, equal to, or greater than 2. Hence,

Domain: x is all real numbers

|x-2|>=0 ==> f(x)>=0

Hence, the range is:

Range: y>=0

18. m=(y2-y1)/(x2-x1)

2=(9-3)/(5-r)

2=6/(5-r)

2(5-r)=6

5-r=3

r=2

In am writing this because the app says the answer is to short :)))

The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]

Now,

Probability of winning the game in first turn = [tex]\frac{1}{3}\frac{1}{2}=\frac{1}{6}[/tex]

Probability of losing the first game but winning the second one = [tex]\frac{5}{6}\frac{1}{6} = \frac{5}{36}[/tex]

Probability of losing the first two games but winning the third one = [tex]\frac{5}{6}(\frac{5}{6})\frac{1}{6} = \frac{25}{216}[/tex]

Thus, the probability of winning the game before fourth turn = [tex]\frac{1}{6}+\frac{5}{36}+\frac{25}{216}=\frac{91}{216}[/tex]

Hence, The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].

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Answer:

5555555555555555555555555555

The value of f(4) on the graph is 2

The figure (i.e. graph) represents the given parameter

The expression f(1) implies that we determine the value of f(x) when x = 1

On the graph, we have the following value:

When x = 4, f(x) = 2

This means that

f(4) = 2

Hence, the value of f(4) on the graph is 2

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Answer:

it is either -8,4 or -4,4

Step-by-step explanation:

i think this is it

The quotient of an expression of signs decimal numbers is positive:

= 0.16.

The correct option is B.

There is one key notion when dividing any negative integer by another: the negative signs cancel out. This is unique to this situation. A positive number divided by such a negative number equals a negative number. As a result, you can't divide any two numbers as well as expect a positive result. In general, negative and positive numbers behave differently.

For

a. 2.5 / -9.56

dividing the numbers we get:

= -0.26

For

b. -1.7 / -10.06

dividing the numbers we get:

= 0.16

For

c. -0.3 / 9.44

dividing the numbers we get:

= -0.03

For

d. -9.34 / 0.55

dividing the numbers we get:

= -16.98

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I understand that the question you are looking for is:

Which expression of signed decimal numbers has a positive quotient?

a. 2.5 / -9.56

b. -1.7 / -10.06

c. -0.3 / 9.44

d. -9.34 / 0.55

Answer:

>

Step-by-step explanation:

2 of course greater than quarter

Answer:

Step-by-step explanation:

goo ba i think its gobba

The length and the weight of the 12 pipe is found as 42 meters and 74.23 kg

As, per the given question;

For, the seven pipes, the length is 24.5m.

7 pipes ---------> 24.5 m.

For the one pipe, use unitary method for solving;

Divide the equation by 7.

1 pipe -------->24.5/7 m.

For 12 pipes, multiply with 12 on both sides.

12 pipes --------> 24.5×12/7 m.

12 pipes --------->  42 m.

Thus, the length of the 12 pipes is 42 meters.

Now, calculate the weight.

For, the seven pipes, the weight is 43.3 kg.

7 pipes ---------> 43.3 kg.

For the one pipe, use unitary method for solving;

Divide the equation by 7.

1 pipe -------->43.3 kg./7

For 12 pipes, multiply with 12 on both sides.

12 pipes --------> 43.3 kg×12/7

12 pipes --------->  74.23

Thus, the weight of the 12 pipes is 74.23 kg.

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Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5