Massachusetts has a population of over 6,550,000 people. The maximum number of hairs that can grow on a human head is 500,000. Prove that there are at least 14 residents of Massachusetts who have the same number of hairs on their heads.

Answers

Answer 1

Answer:

So, basically, you can do this:

500,001*14<6,550,000.

This works because there is one person that can have 0 hairs, 1 hair, 2 hair and so on until we reach 500,000 hairs. Then, there has to be a repeat. So, we can do this fourteen times. Then, we can see that there are at least 14 people with a certain amount of hairs.


Related Questions

Please answer please correct question

Answers

Answer:

EFB is the angle that is adgacent

Answer:

angle AFB

Step-by-step explanation:

Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.

What side does EFA share with?

It shares it with AFB.

That‘s it!

Hope this helped!

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

Answers

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

Answer:

1.5 !

Step-by-step explanation:

oh khan academy :))

A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81

Answers

Answer:

.52

Step-by-step explanation:

its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52

Answer:

.74

Step-by-step explanation:

On edge

Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?

y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE

2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE

3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE

Answers

Answer:

Option 1.

Step-by-step explanation:

Note: In second inequality "<x" is missing after 5.

Consider the given inequalities are

[tex]y-x>-4[/tex]

[tex]2y-5<x[/tex]

If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).

Substitute x=2 and y=3 in the above inequalities and that should be true.

[tex]3-2>-4\Rightarrow 1>-4[/tex] True

[tex]2(3)-5<2\Rightarrow 1<2[/tex] True

Therefore, the correct option is 1.

For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?

Answers

Answer:

x = 4

Step-by-step explanation:

We would like to find the value of x such that:

2x + 1 = (8x + 5) + 20

Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.

Now, we simply solve for x:

2x + 1 = 8x + 5 + 20

2x + 1 = 8x + 25

6x = 24

x = 4

The answer is thus 4.

~ an aesthetics lover

Answer:

x = -4.

Step-by-step explanation:

The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.

2x + 1 = 8x + 5 + 20

2x - 8x = 25 - 1

-6x = 24

x = -4

Hope this helps!

PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17.5 meters from the building. When she is 3 meters away from the mirror, she can see the top of the building in the corner of the mirror. If she is 2 meters tall, how tall is the building? Round your answer to the nearest hundredth. Enter your answer as a number. For example, if your answer is 14.5 meters, enter 14.5

Answers

Answer:

11.6

Step-by-step explanation:

There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building

these are conjugate triangles so if the 3m represents 17.5

what does the 2 m represent?

2*17.5/3=35/3=11 2/3 so 11.6

2m^2? + 10 = 210
Answer plssss

Answers

Answer:10

Step-by-step explanation:subtract 10, divide by 2, then do sqrt of 100

Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance​

Answers

Disability insurance is generally provided by the employers to the employee

What is an Insurance Coverage ?

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

To know more about Insurance Coverage

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Need answer ASAP please

Answers

Answer:

0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.

the answer is actually 0.36666

How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?

Answers

Answer:

18 numbers

Step-by-step explanation:

These are all the two digit numbers with at least one 7.

17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97

Divide. Simplify(or reduce) 32 dived by seven eights

Answers

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.

Help, I don't understand

Answers

Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ

Answers

Answer:

see below

Step-by-step explanation:

mROP= 125°

mSOQ= mROP= 125°

mROQ=mPOS= 180°-125°= 55°

Sum of measures of all arcs in the circle= 2π

mRP= mQS=2π*125/360=25/36π

mQR=mPS=2π*55/360=11/36π

mPRQ= half circle= 2π/2= π

mRPQ= 2π-mQR= 2π- 11/36π= 61/36π

Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?

Answers

Answer:

$25

Step-by-step explanation:

95+30= 125

125/5= 25

25$ each week.

Hope this helped!

Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.

Answers

Answer:

Step-by-step explanation:

You can ask me ıf you don't understand :)

Multiply: (x – 4)(x + 5)

Answers

Answer:

x² + x - 20

Step-by-step explanation:

Step 1: Expand using FOIL

x² + 5x - 4x - 20

Step 2: Combine like terms

x² + x - 20

[tex](x-4)(x+5)=x^2+x-20[/tex]

Hope this helps.

please help! it would be much appreciated

Answers

Answer:

Yes

Step-by-step explanation:

[tex]\sqrt{3} = 1.73205080757[/tex]

Simplified it is 2

Yes.......... .......

**true or false**
all functions are relations but not all relations are functions
explain

Answers

Answer:

This is true

Step-by-step explanation:

because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function

True

Step-by-Step explanation: simple mathematics

PLEASE HELP!!!!!



Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR

Answers

Answer:

option c is the correct ans as there is given similar sign with two triangle.

A parent needs up to twelve students for a game. He needs no fewer than five male students.

Let x represent the number of female students and y represent the number of male students.

Select all inequalities that model this situation.

Answers

Answer:

you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.

A recipe requires 1.5 kilograms of eggs. How much is this in pounds? 0.15 0.7 1.5 2.2 3.3

Answers

Answer:

3.3 Pound

Step-by-step explanation:

in this problem we have to convert kilogram value to its equivalent pound value.

we know

1 KG = 2.205 Pound

since we have to find value of 1.5 kg

we multiply both LHS and RHS by 1.5

1 * 1.5 KG = 2.205 * 1.5 Pound

=> 1.5 KG = 3.307 Pound.

Since , in option value is rounded to 1 decimal place,

hence correct choice is 3.3 Pound

From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?

a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph

Answers

Answer: a

Step-by-step explanation:

if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.

The y- values as the negative x- values get closer to zero is they decrease the correct option is B.

How to find the function which used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The function= y = 10/x^2

Now,

As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.

For example, if we substitute x = -2 into y = 10/x^2, we get:

y = 10/(-2)^2 = 10/4 = 2.5

If we substitute x = -10 into y = 10/x^2, we get:

y = 10/(-10)^2 = 10/100 = 0.1

Therefore, by the graphed function the answer will be they decrease.

Learn more about finding the graphed function here:

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Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.

Answers

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode

Answers

The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.

The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).

In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:

t = -b / 2a

t = -240 / (2 * -16)

t = -240 / -32

t = 7.5

Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.

Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.

Question 2 Comparing Text Message Plans Roger’s father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages and Ring Ring charges $8 for 200 text messages. Part A What is the ratio of the number of text messages to the price in dollars offered by each company?

Answers

Answer:

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$1: 25 text messages

Step-by-step explanation:

Dial it up=$5 for 100 text messages

Ring Ring=$8 for 200 text messages

What is the ratio of the number of text messages to the price in dollars offered by each company?

The ratio of Dial it up is

$5 : 100

=$5/100

=$1/20

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$8:200 text messages

=$8/200

=$1:25

The ratio of Ring Ring is

$1: 25 text messages

Ring Ring has a cheaper text message plan compared to Dial it up

For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.

Answers

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]

PLEASE HELP WILL MARK BRAINLIEST The frequency f​ (in waves per​ second) and the wavelength w​ (in meters) of a sound traveling in the air are related by the equation fw = 343 where 343​ m/s is the speed of sound in air. Calculate the wavelength of a musical note with a frequency of 240 waves per second. The wavelength is meters.

Answers

You gave us the speed and the frequency, and you need the wavelength.

You were also nice enough to remind us that (fqy)x(lng) = speed.

So . . . F x W = 343 m/s

Divide each side by F :

W = (343 m/s) / F

W = (343 m/s) / (240 / s)

W = (343/240) m

W = 1.429 meters

Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?

Answers

Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.

Step-by-step explanation:

Here you must remember the relation:

Speed = distance/time.

So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.

We know that:

Sa = Sb + 12mph.

and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:

Sa*T = 141mi

Sb*t = 105mi

we can take the quotient of those two and get:

(Sa/Sb) = 141/105.

now we can replace Sa by Sa = Sb + 12mph.

(Sb + 12mph)/(Sb) = 141/105.

Sb + 12mph = (141/105)*Sb

Sb*(141/105 - 1) = 12mph

Sb = 12mph/(141/105 - 1) = 35mph.

and we know that:

Sa = Sb + 12mph = 35mph + 12mph = 47mph.

Which must be true?​

Answers

Answer:

PSC=PTC

They are the same angle

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Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week? When checking the resistance of a dual voltage wye motor, there should be ____ resistance readings. 1) twelve 2) six 3) three Minor Electric has received a special one-time order for 1,200 light fixtures (units) at $18 per unit. Minor currently produces and sells 6,000 units at $19.00 each. This level represents 75% of its capacity. Production costs for these units are $24.00 per unit, which includes $16.00 variable cost and $8.00 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $800 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. If Minor wishes to earn $1,600 on the special order, the size of the order would need to be: Please help. Brainliest will be given! 25 points. Show all work. Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to 5.70. Unfortunately, he doesnt have enough money, so he puts back 1 apple and 2 bananas. The new total is 3.60. What is the cost of 1 apple and the cost of 1 banana? The city council has banned traffic the city center ?? passive posise On Wednesday and Thursdaya total of 32 records were sold.The number of records sold onThursday was 3 times the numberof records sold on Wednesday.c) How many records were (2)sold on Wednesday?d) How many records were (1)sold on Thursday?Total marks: 5 In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into 0.25-kmsquared regions. They then counted the number of rockets that landed in each region, with the results shown in the table below. Complete parts (a) through (e). Number of rocket hits 0 1 2 3 4 5 6 7 Observed number of regions 228 214 94 32 7 0 0 1 (a) Estimate the mean number of rocket hits in a region by computing mu equals Summation from nothing to nothing xP left parenthesis x right parenthesis. How many gallons of fuel costing $1.15 a gallon must be mixed with a fuel costing $0.85 per gallon to get 40gallons of a fuel that costs $1 per gallon? Formulate an equation and then solve it in order to determine howmany gallons of fuel costing $1.15. Determine whether the lines L1:x=25+7t,y=17+6t,z=t and L2:x=12+8ty=17+8tz=11+4t intersect, are skew, or are parallel. If they intersect, determine The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe f(x)Which exponential function is represented by thevalues in the table?-216-180412O f(x) == {(4)Of(x) = 4(4)O f(x) = 4(o f(x) = ( )21 Ben met with an accident where he injured his penis. Which procedure will help repair his penis? Which laws regulate car driver behavior Pleas answer this is in two minutes Instructions: Find the missing length indicated. Example 1: the two dimensional points P1(0,0) and P2(1,0) and the two tangents P', (1,1) and P2 (0,-1).find the equation of the curve P(u). It is ethical for Joe Martin, the Chief Design Engineer, to be concerned that the design specifications set by management for the new plant have safety standards well below those for similar plants in his home country since local safety regulations do not address his concerns.a. Trueb. False No quiero ___ fruta___ensalada WILL GIVE BRAINLIEST The truck had kinetic energy of 72 MJ and came to a stop in 5 metres. Calculate the force exerted by the brakes showing all working