A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?

The formula to calculate the slope is

Replacing the values we have

Then, the answer is C. 1/7

Answer:

5 words per minute.

Step-by-step explanation:

Everett types 25 words per minute, and Jacob types 20 words per minute.

Answer:

1/10 of the class

Step-by-step explanation:

We already know:

Determining the fraction of the total students rides on school bus

\(\implies\dfrac{7}{10} = \text{Walk}\)                              \(\dfrac{10}{10} - \dfrac{7}{10} = \boxed{\dfrac{3}{10}} \ \text{students remain}\)

\(\implies\dfrac{1}{5} = \dfrac{2}{10} = \text{Ride bikes}\)              \(\dfrac{3}{10} - \dfrac{2}{10} = \boxed{\dfrac{1}{10} }\ \text{student remain}\)

Thus, 1/10 of the class rides on the bus.

Answer:

x = 13

Step-by-step explanation:

7x/7 = 91/7

cancel the common factor of 7

cancel the common factor

7x/7 = 91/7

divide x by 1

x = 91/7

simplify the right side

divide 91 by 7

x = 13

Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

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Your answer should be A

sorry if it isnt right

mark brainliest-?

Toy Cars=6 and total spending by Mr.Lee=$156

Step-by-step explanation:

Let us first consider

Number of Airplanes=A Cars=C and Trains=T

Now how to start with the problem ? Just start reading it step by step. First statements says that The number of airplanes is 2/3 of The number of cars.

Now how to convert it into an mathematical expression?

here the word "=" is of most important, The number of airplanes "is" whenever you encountered "is" just place a "="

so the first statement can be converted into mathematical expression as,

A=2/3*C  (The number of airplanes is 2/3 of The number of cars.)

Now as per the second condition we can write it in mathematical form as,

C=3/5*T (The number of cars is 3/5 the number of trains).

and the third condition as,

C=3/5*T (The number of cars is 3/5 the number of trains).

Now , we have expressed the statements in mathematical expressions. we have three expressions.

Now It is also given that total number of Toys=20 so we can write it as,

A+C+T=20. ............(1)

Till now we have expressed everything in the question in mathematical form.

now for solving such type of question we need to express the expression giving total in a single entity, expressed it in terms of Airplanes,Cars or Trains,

here we are expressing it in terms of Cars so we can rewrite it (1) as,

2/3*C+C+5/3*C=20 (A=2/3*C and C=3/5*T so T=5/3*C)

by solving this we will get C=6

Total number of car toys, answer of first part

now put this value of C in expression 1,

2/3*C+C+T=20

so the value of T will be 10. T=10

and the total is toys are 20 so 20-10+6=4

Means Airplanes are 4.

Now the cost for each toy is.

A=$12,C=$8 and T=1/2 A i.e T=$6.

So the total cost would be,

4*12+6*8+10*6=$156

$156 answer of second part

I Hope this will help you to solve such kind of Problems.

Answer:

a) 90

b) 100

Step-by-step explanation:

This is a probability problem. In order to solve it, we must multiply the number of possible numbers by eachother.

a) the first digit can be any number between 0 and 9. That's 10 options. The second digit must be different from the first one: that's 9 options. 10x9=90

b) the first digit can be any number between 0 and 9. That's 10 options. The second digit can also be any number between 0 and 9. That's also 10 options. 10x10=100

The speed from City A to City B is 275 mph.

To find the speed of the jet from City A to City B, we can use the concept of average speed and the given information about the round-trip duration.

Let's assume the outbound speed of the jet is x mph.

Since the return trip is 20% faster, the speed for the return trip would be 1.2x mph.

The total distance for the round-trip is 2000 miles, so the one-way distance is 1000 miles.

Now, let's calculate the time taken for each leg of the trip:

Outbound trip time = Distance / Speed = 1000 / x hours

Return trip time = Distance / Speed = 1000 / (1.2x) hours

According to the given information, the total round-trip duration is 6 hours and 40 minutes, which is equivalent to (6 + 40/60) hours = 6.67 hours.

Using the above information, we can set up an equation:

Outbound trip time + Return trip time = Total round-trip time

1000 / x + 1000 / (1.2x) = 6.67

To simplify the equation, we can multiply through by 1.2x:

(1.2 \(\times\) 1000) + 1000 = 6.67 \(\times\) 1.2x

1200 + 1000 = 8x

2200 = 8x

x = 275

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The monomers arranged in decreasing order of reactivity towards cationic polymerization are ii > i > iii.

Cationic polymerization is a process where a cationic initiator initiates the polymerization of monomers. In this case, monomer ii is the most reactive towards cationic polymerization, followed by monomer i, and then monomer iii. Monomer ii exhibits the highest reactivity due to its chemical structure, which enables it to readily undergo cationic polymerization. Monomer i has slightly lower reactivity compared to ii, while monomer iii is the least reactive among the three monomers. The arrangement ii > i > iii implies that monomer ii will polymerize the fastest, followed by monomer i, and then monomer iii. This ordering of monomers is based on their relative abilities to undergo cationic polymerization

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer:

Equation: \(\large\sf\:\frac{x\:-\:5}{2}\:=\:-2\)

Step-by-step explanation:

Given the expression, "Half the difference of a number and 5 is -2​" can be represented algebraically.

In order to make it easier to understand what the equation represents the given sentence, we must break it down into smaller portions.

Let x = a number.

In the phrase, "... difference of a number and 5" is the same as: x - 5.

Finally, given the phrase, "Half the difference of a number and 5 is -2" is the same as:   \(\large\sf{\frac{1}{2}\:of\:x\:-\:5\:=-2}\\\).

However, it is more appropriate to express the given statement in the following equation:

\(\large\sf\:\frac{x\:-\:5}{2}\:=\:-2\)  ⇒  This is the equation that represents the given statement.

If we actually solve for x, what we could do is to first multiply both sides by 2 in order to eliminate the fraction on the left-hand side:

\(\large\sf\:\frac{x\:-\:5}{2}(2)\:=\:-2(2)\)

x - 5 = -4

Finally, add 5 to both sides to solve for x:

x - 5 + 5 = -4 + 5

x = 1

Substituting the value of x into the equation:

\(\large\sf\:\frac{x\:-\:5}{2}\:=\:-2\)

\(\large\sf\:\frac{1\:-\:5}{2}\:=\:-2\)

\(\large\sf\:\frac{-4}{2}\:=\:-2\)

-2 = -2 (True statement). Therefore, we have the correct value for x.

Answer:

K12 Answer

Step-by-step explanation:

Answer:

c; y = 2x

Step-by-step explanation:

if it was without the coupon the fee would be the $2 per mile (2x) with the $35 which would be

y = 2x + 35

but with the coupon the $35 reservation is removed so only 2x is left

y = 2x

Answer:

b

Step-by-step explanation:

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

2x-4+3x+2=48

5x-2=48

5x=48+2

5x=50

x=10

Step-by-step explanation:

this

The numerical length of AB = 16 units and BC = 26 units

We have a Line Segment AC = 50 units and a point B is between A and C.

We have to determine the value of AB and BC.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

AC = 48 units

AB = 2x - 4

BC = 3x + 2

Now -

AC = AB + BC

48 = 2x - 4 + 3x + 2

48 = 5x - 2

5x = 50

x = 10

Therefore -

AB = 2x - 4 = 2 x 10 - 4 = 16

YZ = 3x + 2 = 3 x 10 - 4 = 26

Hence, the numerical length of AB = 16 units and BC = 26 units

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Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective \(n^{th}\) terms as following:

Sequence A. \(3n - 2\)

Sequence B. \(10 - 2n\)

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the \(n^{th}\) terms of the respective sequences as equal and let us verify that.

\(3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}\)

When we talk about \(n^{th}\) terms, \(n\) here is a whole number not a fractional number.

But as per the statement as stated by Sally \(n\) is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

Answer:

Follow my steps okay?

Step-by-step explanation:

Start: yes

No

Yes

No

No

Yes

No

Yes

No

No

Yes

No

Finish ❤

Hope this helps in a way <3

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

(i) The probability that 20 red bikes arrive within an hour can be calculated using the Poisson distribution formula. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 200 * 0.05 = 10 bikes per hour (since 5% of the bikes are red). Therefore, the probability P(X=20) can be calculated as:

P(X=20) =  (e^{(-λ)} * λ²⁰) / 20!, where λ is the rate, which is 10 in this case.

Plugging in the values, we get:

P(X=20) = (e⁽⁻¹⁰⁾ * 10²⁰) / 20! ≈ 0.117

(ii) The probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours can be calculated as the product of the probabilities of these two events occurring independently.

Using the same approach as in part (i), the probability P(X=20) is 0.117.

Let Y be the number of bikes (of any color) arriving within three hours, which follows a Poisson distribution with a rate of 200 * 3 = 600 bikes. Therefore, the probability P(Y=500) can be calculated as:

P(Y=500) = (e^{(-λ)} * λ⁵⁰⁰⁰) / 500!, where λ is the rate, which is 600 in this case.

Plugging in the values, we get:

P(Y=500) = (e⁽⁻⁶⁰⁰⁰⁾ * 600⁽⁻⁵⁰⁰⁾) / 500! ≈ 0 (approximately zero, as the rate is high).

So, the probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours is approximately zero, as the event of 500 bikes arriving within three hours is highly unlikely.

(iii) Given that 20 red bikes arrived within an hour, the expected total number of bikes that arrived within this hour can be calculated as the sum of the expected number of red bikes and the expected number of bikes of other colors.

The expected number of red bikes is simply the rate of red bikes, which is 10 bikes per hour.

The expected number of bikes of other colors can be calculated by subtracting the expected number of red bikes from the total rate, which is 200 bikes per hour:

Expected number of bikes of other colors = 200 - 10 = 190 bikes per hour.

So, the expected total number of bikes that arrived within this hour is 10 + 190 = 200 bikes.

(iv) Given that 150 bikes arrived within an hour, we can use the concept of conditional probability to calculate the probability that exactly 10 out of them were red. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 10 bikes per hour (since 5% of the bikes are red). Therefore, the conditional probability P(X=10 | 150 bikes arrived within an hour) can be calculated as:

P(X=10 | 150 bikes arrived within an hour) = P(X=10 and 150 bikes arrived within an hour) / P(150 bikes arrived within an hour)

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

For P(X=10 and 150 bikes arrived within an hour), we can use the Poisson distribution formula with a rate of 10 bikes and a time interval of 1 hour:

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The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

Answer:

15 million

Step-by-step explanation:

39% of all college students enrolled part-time.

5.8 million college students enrolled part-time.

Let x =  the total number of college students.

39/100 • x = 5.8

x = 5.8 • 100/39

x = 14.87

=15 million

Hope this helps :)

Answer:

Option B. 9.11

Step-by-step explanation:

To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.

The value of θ can be obtained as follow:

θ + 39° + 120° = 180° (sum of angles in a triangle)

θ + 159° = 180°

Collect like terms

θ = 180° – 159°

θ = 21°

Thus, we can obtain the length of line AB by using sine rule as illustrated below:

b/Sine B = c/Sine C

b = 16

Angle B = 39°

Sine C = 21°

c =?

b/Sine B = c/Sine C

16/Sine 39° = c/Sine 21°

Cross multiply

c × Sine 39° = 16 × Sine 21°

Divide both side by Sine 39°

c = (16 × Sine 21°) / Sine 39°

c = 9.11

Therefore, the length of line AB is 9.11

Answer:

It's 21.

Step-by-step explanation:

The factors of 9 are 3 and 3. (You need to multiply 3x3 to get 9.) The factors of 10 are 5 and 2. But, if you multiply 3 by 5, which gives you 15, and multiply the other 3 by 2, which gives you 6, and then add 6 to 15, you get 21.

Answer:

$2.25

Step-by-step explanation:

You can find the answer by setting up a simple equation.

Brand X is 1.65 for 11 ounces

we can find the cost of one ounce of Brand X by using division

1.65/11

.15

this means that for every ounce of Brand X, it costs 15 cents

Since brand Y costs two cents more per ounce that would make it be 17 cents per ounce

now all you need to do is multiply and solve.

.15 * 15 = $2.25

Answer: $2.55

First, we must find out the price for each ounce for Brand X by dividing 1.65 and 11. By doing this, we find out that each ounce costs $.15 (15 cents). If Brand Y costs 2 cents more than Brand X, we can add that to the $.15 of Brand X. This means that Brand Y costs $.17 (17 cents). Now, we must figure out how much money 15 ounces would cost by multiplying 15 and .17, which would equal 2.55. This is total cost of 15 ounces with Brand Y.

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = \(\frac{4-2}{1-3}\)

          = (-1)

Therefore, slope of the line is (-1).