Sam says his three 2 digit numbers have no common factors, two are the perfect squares of prime numbers and the middle number is the sum of those two prime numbers. What is Sam's locker combination?

Answers

Answer 1

Answer:

Let's break down the information we have:

1. Sam has three 2-digit numbers: let's call them A, B, and C in the order.

2. Two of them are perfect squares of prime numbers, let's assume these are A and C.

3. The middle number B is the sum of those two prime numbers.

Let's start with the prime numbers. We're looking for two prime numbers whose squares are two-digit numbers and whose sum is also a two-digit number.

The 2-digit perfect squares of prime numbers are: 4 (2^2), 9 (3^2), 25 (5^2), and 49 (7^2).

Given that the middle number is the sum of the two prime numbers, we can immediately rule out 7^2 (49) since adding 7 to any of the other available primes would result in a 3-digit number.

So let's see the remaining possible combinations:

2^2 (4) and 3^2 (9) --> Sum of the primes is 5, which is a single digit number.

2^2 (4) and 5^2 (25) --> Sum of the primes is 7, which is a single digit number.

3^2 (9) and 5^2 (25) --> Sum of the primes is 8, which is a single digit number.

There's no way to get a 2-digit middle number from these combinations, which seems to be a contradiction.

It is likely that the problem contains a mistake or misunderstanding. The conditions as stated do not appear to allow for a solution. Can you check the problem again?

Related Questions

A computer and printer cost a total of $954. The cost of the computer is two times the cost of the printer. Find the cost of each item.

Answers

The cost of the printer is $309 and the cost of the computer is $618

An company charges an initial fee of $350, plus $50 for each additional service added.

Which function can be used to find y, the total amount a customer would pay after n services were added.

Answers

Answer:

Y=250+50n

Step-by-step explanation:

Well since y in this case is total cost that is basically (f) the function range.

The domain in this case is the 250 one time fee and the 50 buks per services.

How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers probability?

Answers

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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GUYS CAAN SOMEONE PLEASE HELP ME!!!
ASAP ILL GIVE POINTS AND BRAINLIST

Answers

Answer:

$4,541.74.

Step-by-step explanation:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 12% per year compounded 12 times per year over 5 years is $4,541.74.

Find the equation of the line specified.
The slope is -4, and it passes through (5,8).
a. y = 4x + 8
b. y = -4x + 28
c. y = -4x - 12
d. y = -8x + 28

Answers

Answer:

B) y=-4x+28

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-4(x-5)

y=-4x+20+8

y=-4x+28

Find the value of m that gives you no real solution

Answers

Answer:

Divide each term by

and simplify.

(

)

someone help as soon as possible pls

Answers

Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats Pants

Y Y

Y G

Y B

G Y

G G

G B

B Y

B G

B B

There are a total of 9 possible selections."

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Which number line shows the solutions to n > -2?
++++
+
-6-5-4-3-2-1 0 1 2 3 4 5 6
←++++
H
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
+++
++++++
-6-5-4-3-2-1 0 1 2 3 4 5 6
+++++
-6-5-4-3-2-1 0 1 2
3 14 5 6
Done -
2

Answers

2888483829291929293983 298383

Answer the statistical measures and create a box and whiskers plot for the following
set of data.
3,6,6,9, 10, 12, 13, 14, 14
Min:
Q1:
Med:
03:
Max:

Answers

Q1:6
Min:3
Med: 10
Q3: 13.5
Max: 14

Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.

Answers

The answer to this question is false

in a correlational study on the relationship between caffeine consumption and heart disease in police officers, the fact that the officers could not be randomly assigned to high and low caffeine groups suggests the results may be due to:

Answers

Confounding variables can affect the relationship between caffeine consumption and heart disease in a correlational study of police officers. Controlling for these variables is necessary to accurately assess the relationship.

The fact that the officers in the study could not be randomly assigned to high and low caffeine groups suggests that the results of the study may be due to confounding variables. A confounding variable is a third variable that is correlated with both the independent variable (in this case, caffeine consumption) and the dependent variable (in this case, heart disease). If a confounding variable is present, it can make it difficult to determine the true relationship between the independent and dependent variables.

For example, if the officers who consume more caffeine also have other unhealthy habits (such as smoking or eating unhealthy diets) that increase their risk of heart disease, it may be difficult to determine the true effect of caffeine on heart disease. In this case, the unhealthy habits would be the confounding variable, and controlling for these variables would be necessary to accurately assess the relationship between caffeine consumption and heart disease.

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A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?

Answers

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2. Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012

risa loaned Abi $50 for a month. She charged 5% weekly simple interest for the month. How much did Abi have to pay Risa?

Answers

since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60$

the perimeter of a rectangular tray is 60in the length of the tray is double the width of a tray determine the dimensions of the rectangular tray

Answers

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

2*( 2w + w) = 60

2*3w = 60

6w = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

Which of the following is equivalent to: 4ab+k=13

Answers

Answer:

You want to isolate k since all the answer choices have it simplified.

So you subtract 4ab:

4ab + k = 13

k = 13-4ab

(C)

Option C is the correct alternative.

We have the following expression -

4ab + k = 13

We have to solve for K.

Solve for x (at k = 2) : log ($\frac{\pi }{x}$) = k

On solving -

log(π) - log(x) = k

log(x) = k - log(π)

log(x) = 2 - log(π)

log(x) = 2 - 0.497

log(x) = 1.503

x = 31.84

According to the question, we have -

4ab + k = 13

k = 13 - 4ab

Hence, Option C is the correct alternative.

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At 10:00 train A left the station and an hour later train B left the same station on a parallel track. If train A
travelled at a constant speed of 60 kilometres per hour and train B at 80 kilometres per hour, then at what time did B pass train A?
a) Write down an equation or a pair of simultaneous equations that gives the answer to the question.
b) Answer the question.

Answers

a. The required equation that gives the answer to the question is

60t = 80(t + 1).

b. Train B passed train A at t = -4 hours.

a) Write down an equation or a pair of simultaneous equations that gives the answer to the question.

Let

t = time of travel of train At' = time of travel of train B

Since at 10:00 train A left the station and an hour later train B left the same station on a parallel track, we have that

t' = t + 1

Let

v = speed of train A and v' = speed of train B

If train A travelled at a constant speed of 60 kilometres per hour and train B at 80 kilometres per hour, then

v = 60 kphv' = 80 kph

For each train to cover the same distance, we have that

vt = v'(t + 1)

60t = 80(t + 1

So, the equation that can be used to give the answer to the question is

60t = 80(t + 1)

b. At what time did B pass train A?

So, solving the equation, we have

60t = 80(t + 1)

60t = 80t + 80

60t - 80t = 80

-20t = 80

t = 80/-20

t = -4

So, train B passed train A at t = -4 hours.

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help me find the answer in cm

please would get rewared brainly but it has to be the correct answer HELP!!!

Answers

Answer:

40000

hope this helped

Step-by-step explanation:

Answer:

40000

Step-by-step explanation:

Suppose that Tamera spent h hours sitting the dog and 2 days sitting thwe cats. Write an expression that shows how much she earned

Answers

The total money earned for taking care of the pets by Tamera is 7h + 30.

Equation

Equation is an expression used to show the relationship between one or more numbers and variables.

Let y represent the total money earned for x hours. Hence:

y = 7h + 15 * 2

y = 7h + 30

The total money earned for taking care of the pets by Tamera is 7h + 30.

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3 CO2 + 6 NADPH + 5 H2O + 9. Please

Answers

Answer:

omg

Step-by-step explanation:

too ez its 20 square rooted kid

In constructing a frequency distribution for the savings account balances for customers at a bank, the following class boundaries might be acceptable if the minimum balance is $5.00 and the maximum balance is $18,700:
$0.00-$5,000
$5,000-10,000
$10,000-$15,000
$15,000-$20,000

Answers

The given class boundaries are reasonable and provide a clear and informative summary of the savings account balances at the bank.

In statistics, a frequency distribution is a way of organizing data into intervals, or classes, and counting the number of observations that fall within each interval. The purpose of constructing a frequency distribution is to summarize large amounts of data and identify patterns and trends in the data.

When constructing a frequency distribution for savings account balances at a bank, it is important to choose appropriate class boundaries that are meaningful and representative of the data.

The class boundaries given in the question are $0.00-$5,000, $5,000-$10,000, $10,000-$15,000, and $15,000-$20,000, with the minimum balance of $5.00 and the maximum balance of $18,700.

These class boundaries are reasonable and appropriate for representing the savings account balances at the bank. The first class includes balances from $0.00 to $5,000, which is the minimum balance that the bank allows. The remaining classes are each $5,000 in width, which provides a consistent and easy-to-follow pattern.

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Complete question is:

$0.00-$5,000

$5,000-10,000

$10,000-$15,000

$15,000-$20,000

Are these class boundaries reasonable.

What is an expression for the sale price of a shirt that is sold at 40% off the original price p?

Answers

Answer:

$35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

21 = 0.60p

21/0.60 = p = 35

The original price is $35.00.

Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.

A.
Reflect A over the line y=x

B.
Translate C (x+5,y-4)

C.
Dilate A by 3/2

D.
Dilate C by 3/2

E.
Translate A by (x-5, y+4)

Answers

The transformations that would prove that circles A and C are similar are:

A. Reflect A over the line y=xC. Dilate A by 3/2

How to prove that circle A and circle C are similar?

The circles are given as:

Circle A and B

Assume the following parameters:

The center of circle A is (2,3) with a radius of 2The center of circle B is (3,2) with a radius of 3

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

The center of circle A is (3,2) with a radius of 3The center of circle B is (3,2) with a radius of 3

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Answers

The roof area is 468.75 square feet.

To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:

Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:

Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:

Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:

Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.

It is possible there is a mistake in the question or the provided options.

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Dons plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Write the equation modeling this situation.

Answers

Answer:

15x+40

Step-by-step explanation:

x would be the number of hours he is at the home

Given g(x) = x2-4
Find g(-3)

Answers

Answer:

-10

Step-by-step explanation:

g(-3)=3×3 -4

=9-4

Answer: 5

Step-by-step explanation:

g(x)=x²-4

g(-3)=(-3)²-4

g(-3)=9-4

g(-3)=5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Change
3
-
4
to a percent

Answers

Answer:

75%

Step-by-step explanation:

3/4 ie 75/100. .........edge

Divide 3 divided by 4 which would be 0.75. then multiply by 100 to get 75%

Could someone please help me

Answers

Answer:

420 cm

Step-by-step explanation:

I think you multiple 42 by 10

what two ratios that are equvilent to 1:1

Answers

Answer:

Step-by-step explanation:

2 : 2, 3 : 3

Problem 2:
The lifespan of a particular brand of light bulb follows a normal distribution with a mean of 1000 hours and a standard deviation of 50 hours.

Find:
a) the z-score of light bulb with a mean of 500 hours.
b) If a customer buys 20 of these light bulbs, what is the probability that the average lifespan of these bulbs will be less than 980 hours?
c) the probability of light bulbs with the mean of 400 hours.
d) the number of light bulbs with the mean less than 1000 hours

Answers

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

How to solve the problem

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Use Simple Algorithm - Big M Method to solve the following questions.
(a)
Max Z =3x1 + 2x2 + x3
Subject to
2x1 + x2 + x3 = 12
3x1 + 4x2 = 11 and x1 is unrestricted
x2 ≥ 0, x3 ≥ 0
(b)
Min Z = 2x1 + 3x2
Subject to
x1 + x2 ≥ 5
x1 + 2x2 ≥ 6
and x1 ≥ 0, x2 ≥ 0

Answers

Application of Simple Algorithm - Big M Method to solve linear programming problems with given constraints and objective functions.

(a) Maximize Z = 3x1 + 2x2 + x3 subject to 2x1 + x2 + x3 = 12, 3x1 + 4x2 = 11, x1 unrestricted, x2 ≥ 0, and x3 ≥ 0.Minimize Z = 2x1 + 3x2 subject to x1 + x2 ≥ 5, x1 + 2x2 ≥ 6, x1 ≥ 0, and x2 ≥ 0.

The Simple Algorithm - Big M Method is a technique used to solve linear programming problems with both equality and inequality constraints.

In problem (a), we have a maximization problem with three variables (x1, x2, x3) and two equality constraints and non-negativity constraints.

The algorithm involves introducing slack variables, converting the problem into standard form, and using a Big M parameter to handle unrestricted variables.

The objective function is maximized by iteratively improving the solution until an optimal solution is reached.

In problem (b), we have a minimization problem with two variables (x1, x2) and two inequality constraints.

The procedure is similar, where surplus variables are introduced to convert the problem into standard form, and the Big M method is used to handle non-negativity constraints.

The objective function is minimized by following the steps of the algorithm.

By applying the Simple Algorithm - Big M Method to these problems, we can find the optimal solutions that satisfy the given constraints and optimize the objective function.

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The board feels that such a document is needed to get the center in the same league with other large not-for-profit organizations with which it feels it competes for donations and funds. The board feels that the annual report could be used to inform these stakeholders about the advances the center is making in its research efforts and its strong fiscal management for effectively using the funding and donations it receives.You will need to produce a shorter, simpler, easy-to-read annual report that shows the benefits of the center s research and the impact on people s lives. You will include pictures from various hospitals, clinics, and long-term care facilities that are using the results of the center s research. You also will include testimonials from patients and families who have benefited from the center s research. The report must be eye-catching. It needs to be multicolor, contain a lot of pictures and easy-to-understand graphics, and be written in a style that can be understood by the average adult potential donor.This is a significant undertaking for your department, which includes three other staff members. You will have to contract out some of the activities and may have to travel to several medical facilities around the country to take photos and get testimonials. You will also need to put the design, printing, and distribution out to bid to various contractors to submit proposals and prices to you. You estimate that approximately 5 million copies need to be printed and mailed.It is now April 1. The board asks you to come to its next meeting on May 15 to present a detailed plan, schedule, and budget for how you will complete the project. The board wants the annual report in the mail by November 15, so potential donors will receive it around the holiday season when they may be in a giving mood. The center s fiscal year ends September 30, and its financial statements should be available by October 15. However, the nonfinancial information for the report can start to be pulled together right after the May 15 board meeting.Fortunately, you are taking a project management course in the evenings at the local university and see this as an opportunity to apply what you have been learning. You know that this is a big project and that the board has high expectations. You want to be sure you meet their expectations and get them to approve the budget that you will need for this project. However, they will only do that if they are confident that you have a detailed plan for how you will get it all done. You and your staff have six weeks to prepare a plan to present to the board on May 15. If approved, you will have six months, from May 15 to November 15, to implement the plan and complete the project.Your staff consists of Grace, a marketing specialist; Levi, a writer/editor; and Lakysha, a staff assistant whose hobby is photography (she is going to college part-time in the evenings to earn a degree in photojournalism and has won several local photography contests).CASE QUESTIONSYou and your team need to prepare a plan to present to the board. You must:Establish the project objective and make a list of your assumptions about the project.Develop a work breakdown structure.Prepare a list of the specific activities that need to be performed to accomplish the project objectiveFor each activity, assign the person who will be responsible.Create a network diagram that shows the sequence and dependent relationships of all the activities. The method of determining latitude in the northern hemisphere by measuring the angle between an observer's line of site to the north star and line of site to the northern horizon was developed by? Mark was thinking of a number Mark added 11 to it then doubles it and gets a answer of 40.5 a right triangle has a hypotenuse of 65 and one leg that measures 60. what is the length of the thrid side True or False? Japan is called "the Land of the Rising Sun" because they are the westernmost country and are a day behind the rest of the world. The formula Total cost = Cost + Shipping cost + Installation is used to find the total cost of a business asset. The formula can be written in symbols as T=C+S+I. Solve theformula for I, the installation cost of the asset.1=(Simplify your answer.) What 2 text features did you find most helpful to your understanding and why? 90 points the lpn/lvn is assigned to provide care for a patient with pheochromocytoma. which physical assessment technique would the rn instruct the lpn/ lvn to avoid? Henrietta's 11-year old son sucks his thumb. He has gotten teased for it, and even gotten sick once because there was bacteria-laden dirt underneath his thumbnail. She asks for advice on how to help him stop. A friend suggests using a cream she saw online that has a bitter taste to it. Henrietta simply rubs the cream on his thumb before he watches TV at night or goes to bed. What type of conditioning treatment is Henrietta employing?