The registration fee for a used car is 0.6​% of the sale price of ​$5,400. How much is the​ fee?

Answer:

Drake: 18

Josh: 11

Step-by-step explanation:

11*2=22

22-4 = 18

11+18= 29

Applying the Principle of Inclusion/Exclusion:

Total count = 337 + 144 + 96 - 24 - 16 - 10 + 2  = 529

The Principle of Inclusion/Exclusion states that to count the number of elements in the union of multiple sets, we need to account for overlapping elements and subtract their counts to avoid double counting.

To solve the problem, we need to find the count of natural numbers less than 2022 that are divisible by each of the given numbers: 6, 14, and 21.

Count of numbers divisible by 6:

2022 divided by 6 equals 337, so there are 337 natural numbers divisible by 6.

Count of numbers divisible by 14:

2022 divided by 14 equals 144, so there are 144 natural numbers divisible by 14.

Count of numbers divisible by 21:

2022 divided by 21 equals 96, so there are 96 natural numbers divisible by 21.

However, simply adding these counts will result in double counting, as there are numbers that are divisible by more than one of the given numbers.

To correct for double counting, we apply the Principle of Inclusion/Exclusion:

Total count = Count of numbers divisible by 6 + Count of numbers divisible by 14 + Count of numbers divisible by 21

            - Count of numbers divisible by both 6 and 14

            - Count of numbers divisible by both 6 and 21

            - Count of numbers divisible by both 14 and 21

            + Count of numbers divisible by 6, 14, and 21

Now we evaluate the counts of numbers divisible by both pairs and the triple:

Count of numbers divisible by both 6 and 14:

2022 divided by (6 * 14) equals 24, so there are 24 natural numbers divisible by both 6 and 14.

Count of numbers divisible by both 6 and 21:

2022 divided by (6 * 21) equals 16, so there are 16 natural numbers divisible by both 6 and 21.

Count of numbers divisible by both 14 and 21:

2022 divided by (14 * 21) equals 10, so there are 10 natural numbers divisible by both 14 and 21.

Count of numbers divisible by 6, 14, and 21:

2022 divided by (6 * 14 * 21) equals 2, so there are 2 natural numbers divisible by 6, 14, and 21.

Applying the Principle of Inclusion/Exclusion:

Total count = 337 + 144 + 96 - 24 - 16 - 10 + 2

         = 529

Therefore, there are 529 natural numbers strictly less than 2022 that are divisible by at least one of 6, 14, and 21.

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Answer:

\(\Huge \boxed{-x^2+2x}\)

Step-by-step explanation:

2 times x subtracted by x².

\(\Rightarrow 2 \cdot x-x^2\)

\(\Rightarrow 2x-x^2\)

Rearranging the expression.

\(\Rightarrow -x^2+2x\)

Answer:

2x -x^2

Step-by-step explanation:

\(2(x) - x^2\\= 2x-x^2\)

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The height of 100 Canadian dimes is 1220 millimeter.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have 1000 Canadian dimes.

Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -

[x] = 1000 x 1.22

[x] = 1220 mm

Therefore, the height of 100 Canadian dimes is 1220 millimeter.

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Answer:

D

Step-by-step explanation:

you need to subuce the x-2 and y-6

Answer:

m=1

Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.

(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.

Thus, substituting the given values, we get:

A = pi * (5mm)^2 = 78.54 mm^2

v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)

Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))

To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:

Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s

Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.

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Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

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Answer:

this is very simple

its 2342423424324343

Step-by-step explanation:

Answer:

Its D i just did it on study island

Step-by-step explanation:

Answer:

y=1/4x+3

Step-by-step explanation:

Find the slope and do rise over run. The slope is 1/4. The function should be y=1/4x+3.

Answer:

15 × 14 = 210 of the 2,800 admitted patients remained longer than a week, so 2,800 - 210 = 2,590 of those patients were released within one week.

Answer:

\(17\)

Step-by-step explanation:

\(4\cdot \:5-10-2\left(1-2\right)+5\)

\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)

\(=4\cdot \:5-10-2\left(-1\right)+5\)

\(=20-10-2\left(-1\right)+5\)

\(=20-10-\left(-2\right)+5\)

\(20-10=10\)

\(=10-\left(-2\right)+5\)

\(-\left(-2\right)=+2\)

\(=10+2+5\)

\(10+2=12\)

\(=12+5\)

\(12+5=17\)

\(=17\)

Answer:

−1(9+8)

That is my answer

The average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -20.0 m/s.

To find the average velocity, we need to calculate the displacement of the particle during the given time interval and divide it by the duration of the interval. The displacement can be determined by subtracting the initial position from the final position.

At t=1.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(1.0 s)^2 + 5.0 m = -15.0 m.

At t=3.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(3.0 s)^2 + 5.0 m = -245.0 m.

The displacement during the interval is -245.0 m - (-15.0 m) = -230.0 m.

The duration of the interval is 3.0 s - 1.0 s = 2.0 s

Therefore, the average velocity is given by the displacement divided by the duration: (-230.0 m) / (2.0 s) = -115.0 m/s.

Hence, the average velocity of the particle over the interval t=1.0 s to t=3.0 s is -115.0 meters/second.

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Answer:

Probabilities are by how likely something is to happen, the weather is a great example, they use probabilities to find what the chance is for example like rain or snow, depending on those chance they come out with their predictions at which time to expect it to happen.

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

Answer:

Time taken t = 5.88 sec (Approx)

Final velocity v = 188.46 ft/s (Approx)

Step-by-step explanation:

Given:

Height h = 555 ft

Initial velocity u = 0 ft/s

Gravitational acceleration g = 32 ft/s²

Computation:

h = ut + 1/2(gt²)

555 = 1/2(30)(t²)

Time taken t = 5.88 sec (Approx)

Final velocity v = u + at

Final velocity v = (32)(5.88)

Final velocity v = 188.46 ft/s (Approx)

Answer: 20%

Step-by-step explanation:

The correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores. This suggests that as study times increase, there is a tendency for test scores to also increase. However, the relationship is not extremely strong.

The correlation coefficient, denoted by 'r', ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other tends to increase as well. In this case, the correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores.

It's important to note that the correlation coefficient of 0.49 falls between 0 and 1, closer to 1. This suggests that there is a tendency for test scores to increase as study times increase, but the relationship is not extremely strong. Other factors may also influence test scores, and the correlation coefficient does not imply causation.

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The size of the angle x = 54 degrees

The regular pentagon is given

Number of sides of the pentagon = 5

O is the center  of the pentagon

The sum of all the angle around a point is 360 degrees

From the figure we can see that the it equally divided by 5 parts

The measure of each angle = 360/5

= 72 degrees

Consider the corresponding triangle

Sum of all the interior angles of the triangle is 180  degrees and the two sides of the triangle is equal, therefore it is an isosceles triangle

Then,

x + x+ 72 = 180

2x + 72 = 180

2x = 180- 72

2x = 108
x = 108/2

x = 54 degrees

Hence, the size of the angle x = 54 degrees

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To calculate the mass of the Earth, we can use the following formula:

M = (4π²rₑₘ³) / (Gtₘ²)

Where:

M is the mass of the Earth

rₑₘ is the distance from the center of the Earth to the center of the Moon (384 million meters)

G is the gravitational constant (approximately 6.67430 x 10^-11 m³/(kg·s²))

tₘ is the orbital period of the Moon around the Earth (27.3 days converted to seconds)

Let's plug in the values and calculate the mass of the Earth:

M = (4π² * (384 x 10^6)³) / (6.67430 x 10^-11 * (27.3 x 24 x 60 x 60)²)

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Answer:

Hold on let me seee!!!!!!!

Answer:

Se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

En otras palabras, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones significa encontrar valores para las incógnitas que hace  verdadera cada una de las ecuaciones.

En este caso, las variables son:

Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares, se puede expresar el siguiente sistema de ecuaciones:

\(\left \{ {{x+y=227} \atop {15*x+5*y=2375}} \right.\)

Se elige resolver por el método de sustitución, cuyo primer paso consiste escoger una ecuación y despejar una incógnita en  términos de la otra incógnita. En este caso, se despeja la variable "y" de la primer ecuación, obteniendo:

y=227 - x

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, luego despejar esa incógnita. En este caso, reemplazando la anterior expresión en la segunda ecuación del sistema de ecuaciones:

15*x + 5*(227 -x)= 2375

Resolviendo:

15*x + 5*227 - 5*x= 2375

15*x + 1135 - 5*x= 2375

15*x - 5*x= 2375 - 1135

10*x= 1240

x= 1240 ÷10

x= 124

Finalmente se sustituye el valor hallado en la expresión y=227 - x para despejar la incógnita restante:

y=227 - 124

y= 103

Entonces se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Answer: they need 13.86 minutes to chop 14 pounds of carrots.

Step-by-step explanation:

Rohan can chop 6 pounds of carrots in 11 minutes, then he can chop:

6lb/11min = 0.55 pounds per minute.

Lewis can chop 6 pounds in 13 minutes, then he can chop:

6lb/13min = 0.46 pounds per minute.

Working together, they can chop:

0.55 lb/min + 0.46lb/min = 1.01 lb/min

So working together, they can chop 1.01 pounds per minute.

Now we want to answer:

how many minutes will it take for Rohan and Lewis to chop 14 pounds of carrots?

If they need a time T, we will have the equation:

(1.01 lb/min)*T = 14 lb

T = 14lb/(1.01 lb/min) = 13.86 min

This means that they need 13.86 minutes to chop 14 pounds of carrots.

first 1 because it saws less than or equal to 175

Answer:

The ship travels approximately 10.261 meters to the East.

Step-by-step explanation:

At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:

\(x = r\cdot \sin \theta\) (1)

Where:

\(r\) - Distance travelled by the ship, measured in kilometers.

\(\theta\) - Bearing angle, measured in sexagesimal degrees.

\(x\) - Distance component in the east direction, measured in kilometers.

If we know that \(r = 30\,km\) and \(\theta = 20^{\circ}\), then the distance in the East direction is:

\(x = (30\,km)\cdot \sin 20^{\circ}\)

\(x \approx 10.261\,m\)

The ship travels approximately 10.261 meters to the East.

The bearing is the angle measured relative to or from the Northern

direction.

The ship's distance East from its starting point is approximately 10.26 km.

Reasons:

The given bearing of the ship's path, θ = 020°

The distance the ship has travelled = 30 km.

Required:

The ship's distance East from its starting position

Solution:

By using trigonometric ratios, we have;

\(sin(\theta) = \dfrac{Ship's \ distance \ East \ from \ its \ starting \ point}{The \ distance \ the \ ship \ has \ sailed}\)

Which gives;

\(sin(20^{\circ}) = \dfrac{Ship's \ distance \ East \ from \ its \ starting \ point}{30 \ km}\)

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The statement "If anything is alive, then it is aware of its environment" can be symbolically represented as is aware of its environment," and D represents the domain of discourse.

The symbol "->" denotes implication, meaning that if the antecedent is true (in this case, A(x) represents something being alive), then the consequent (E(x) represents being aware of the environment) must also be true.

To break it down further:

So, the statement asserts that if something is alive (for all x), then there exists at least one instance (for some x) where it is aware of its environment.

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To find the interval for the number n given that Martin truncates it to 1 digit and the result is 7, we need to determine the range of values for n that satisfy this condition.

In mathematics and statistics, the range refers to the difference between the largest and the smallest values in a dataset. It provides a measure of the spread or variability of the data. To calculate the range, you subtract the smallest value from the largest value in the dataset.

Considering 1-digit truncation, we can explore the numbers from 70 to 79. These numbers can be truncated to 7, resulting in the desired outcome.

The numbers in the range of 70 to 79 that can be truncated to 7 are: 70, 71, 72, 73, 74, 75, 76, 77, 78, and 79.

Therefore, the interval for n is [70, 79]. This means that any value of n within this range will result in a truncation to 7.

Hence, the correct option is (A) [70, 79]. This option accurately represents the interval of values for n that satisfy the given condition.

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