Multiplying and dividing Decimals

In qualifying for an auto race, one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?​

The option that shows that the set of irrational numbers under addition is not closed is B. π + π.

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.

The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.

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Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

Answer: 2b+12

Step-by-step explanation:

Because the number is in front of the bracket you have to times everything in the bracket by the number on the outside.

So,

2 times b is 2b

And

2 times 6 is 12

So it would be 2b+12

a. u(x, y) = e^y sin x is a harmonic function. b. the analytic function is f(z) = u(z) + iv(z) = e^y sin x + ie^y cos xa.

To show that the function u(x, y) = e^(y) sin x is harmonic, we need to show that it satisfies Laplace's equation, which states that the sum of the second partial derivatives of u with respect to x and y is zero. That is,

∂^2u/∂x^2 + ∂^2u/∂y^2 = 0

Taking the first and second partial derivatives of u with respect to x and y, we get:

∂u/∂x = e^y cos x

∂^2u/∂x^2 = -e^y sin x

∂u/∂y = e^y sin x

∂^2u/∂y^2 = e^y sin x

Adding these partial derivatives together, we get:

∂^2u/∂x^2 + ∂^2u/∂y^2 = (-e^y sin x) + (e^y sin x) = 0

Therefore, u(x, y) = e^y sin x is a harmonic function.

b. To find an analytic function f = u + iv, we need to find the corresponding function v(x, y). Since f is analytic, it must satisfy the Cauchy-Riemann equations, which are:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

Using these equations, we can find that:

∂v/∂y = e^y cos x

∂v/∂x = -e^y sin x

Integrating each of these expressions with respect to the appropriate variable, we obtain:

v(x, y) = e^y sin x + C1(x)

v(x, y) = -e^y cos x + C2(y)

where C1(x) and C2(y) are constants of integration that depend only on x or y, respectively.

To determine the constants of integration, we can use the fact that f(i) = u(i) + iv(i) = e sin i, where i is the imaginary unit. Substituting x = 0 and y = 1 into the expressions for u and v, we get:

u(0, 1) = e

v(0, 1) = 0

Therefore, we have:

v(x, y) = e^y sin x

Thus, the analytic function is:

f(z) = u(z) + iv(z) = e^y sin x + ie^y cos x

To evaluate f'(i), we take the derivative of f(z) with respect to z and then substitute z = i, yielding:

f'(z) = ∂u/∂x + i∂v/∂x = e^y cos x + ie^y sin x

f'(i) = e(cos 1 + i sin 1)

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The daily revenue (R) is given by R = 4.15x, and the daily cost (C) is given by C = 3.20x + 798, where x is the number of scoops served in a day.

In more detail, the given equations represent a linear relationship between the number of scoops served (x) and both the revenue (R) and cost (C). The coefficient of x in the revenue equation, 4.15, represents the revenue generated per scoop served. Similarly, the coefficient of x in the cost equation, 3.20, represents the cost incurred per scoop served. The constant term 798 in the cost equation represents additional fixed costs.

To determine the daily profit, we can subtract the cost from the revenue: Profit = R - C = 4.15x - (3.20x + 798) = 0.95x - 798. This equation allows us to calculate the profit based on the number of scoops served.

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The balanced chemical equation for the given reaction is:Fe2O3 + 3CO → 2Fe + 3CO2The molar mass of Fe2O3 is 159.69 g/mol. Mass of Fe2O3 = 50.7 g Moles of Fe2O3 = 50.7 g / 159.69 g/mol = 0.3179 mol According to the balanced chemical equation, 1 mole of Fe2O3 reacts with 3 moles of CO.

Hence, the number of moles of CO used = 3 × 0.3179 mol = 0.9538 mol. The molar mass of CO is 28.01 g/mol. Mass of CO used = 0.9538 mol × 28.01 g/mol = 26.7 g Hence, the mass of CO2 formed will be equal to the mass of CO used, i.e., 26.7 g. The molar mass of Fe is 55.85 g/mol. Mass of Fe formed = 0.3179 mol × 2 × 55.85 g/mol = 35.27 g

The number of grams of Fe and the number of grams of CO2 formed when 50.7 g of Fe2O3 reacts with excess CO are 35.27 g and 26.7 g, respectively.

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Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

Answer:

your answer will be option B

you are right

Step-by-step explanation:

have a nice day!!

Answer:

(2 , 3, 1)

Step-by-step explanation:

x + y + z = 6   ..(1)

3x - 2y + 2z = 2   ..(2)

-2x - y + 3z = -4  ..(3)

(1)*3-(2): 5y + z = 16  ..(4)

(1)*2+(3): y + 5z = 8  ..(5)

(4)*5-(5): 24y = 72         y = 3

(4): 5*3 + z = 16              z = 1

(1): x + y + z = x + 3 + 1 = 6        x = 2

The average time spent at each toll booth to less than 2 minutes.The average number of vehicles that pass through the tunnel each way during peak times is 4796MTA would like to keep the number of vehicles waiting in line (on average) to less than 10.

To determine the number of toll lanes that should be opened, we must first determine how many vehicles can pass through a single toll lane in one hour.To find out how many vehicles pass through a single toll lane in one hour, we can use the formula below:Number of vehicles that can pass through a single toll lane in one hour = (Number of minutes in an hour) / (Average time spent at each toll booth)Let's first convert the number of minutes in an hour so that we can plug it into the formula:60 minutes/hourPlugging in the numbers:Number of vehicles that can pass through a single toll lane in one hour = 60/2= 30We can see that one toll lane can handle 30 vehicles per hour.

To find out how many toll lanes are needed to handle 4796 vehicles, we must divide the total number of vehicles by the number of vehicles that a single toll lane can handle:4796/30 = 160Since there can't be a fraction of a toll lane, we must round up to the nearest whole number. Therefore, we can conclude that MTA should open six toll lanes to ensure that no more than ten vehicles are waiting in line on average.

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The filled van has a height of 4 feet, indicating the vertical dimension from the floor to the top of the crates inside.

To determine the height of the van that is filled with crates, we need to consider the volume of the crates and the total volume of the van.

Given that each crate has a volume of one cubic foot, and there are 30 crates covering the floor of the van, the total volume occupied by these crates is 30 cubic feet.

Now, to find the remaining volume inside the van, we subtract the volume of the crates from the total volume of the van. The van has a volume of 150 cubic feet, and we have already accounted for 30 cubic feet occupied by the crates.

Remaining volume inside the van = Total volume of the van - Volume occupied by the crates

Remaining volume = 150 cubic feet - 30 cubic feet

Remaining volume = 120 cubic feet

Since the van is shaped like a rectangular prism, the height of the van represents the vertical dimension.

To find the height of the van, we divide the remaining volume by the area of the van's base. The base area can be found by dividing the remaining volume by the length and width of the van.

Given that the van is completely filled with crates, the base area is equal to the area of 30 crates.

Base area = Volume occupied by the crates / Height

Base area = 30 cubic feet / Height

Now, we can solve for the height:

Height = Volume of the remaining space / Base area

Height = 120 cubic feet / 30 cubic feet

Height = 4 feet

Therefore, the height of the van that is filled with crates is 4 feet.

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In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

We must figure out how many sales are necessary to get that income.

Let's write "S" to represent the sales amount.

The associate's base pay is $450 per week, and she receives a commission of 2% of her sales. Her commission is therefore equal to 0.02S (2% of sales), which can be computed.

The total income must be at least $800 in order for her to fulfill her goal. As a result, we may construct the equation shown below:

Base Salary + Commission ≥ Goal

$450 + 0.02S ≥ $800

Now, we can solve the inequality to find the minimum sales amount:

0.02S ≥ $800 - $450

0.02S ≥ $350

Divide both sides by 0.02 to isolate 'S':

S ≥ $350 / 0.02

S ≥ $17,500

Therefore, In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

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The graphs and their functions/equations are all illustrations of quadratic functions.

The zeros of a function of a graph are the points where the line or curve of the graph crosses the x-axis

The axis of symmetry of a graph is the line that divides the graph into equal  halves

The vertex of a function is the minimum or the maximum point on the graph

The vertex of a quadratic function is minimum if it opens upward, otherwise the vertex is maximum

Using the above definitions, the solutions to the worksheet are:

Graph 1

Graph 2

Graph 3

Graph 4

Graph 5

Graph 6

Graph 7

Graph 8

Graph 9

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Answer:

6(b + 5) = 4

Step-by-step explanation:

To start of we know that by saying six time the sum of a number and five. The problem wants us to put b + 5 in parenthesis to establish that the 6 is being distributed to both the b and the 5. Now that we have the first part, all we have to do is write that this expression is equal to four.

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Answer:

49

Simple Explanation:

14 x 3 1/2

= 14 x 7/2

= 98/2

= 98/2 ÷ 2/2

= 49

Answer:

Step-by-step explanation:

8+(50+9)

=(8x50)+(8x9)

=400+72

=472

Answer: Miles got 92% correct on his test

Step-by-step explanation:

Answer:

92%

Step-by-step explanation:

25=100%

23=? crisco

23×100/25= 92%

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer: step-by-step

Step-by-step explanation:

answer: 10

to solve you have to follow PEMDAS

Answer:

The day that Angelique and Bentley will be at the gym on the same day is; the 42nd day.

Angelique's days:
6, 12, 18, 24, 30, 36, 42

Bentley's days:
7, 14, 21, 28, 35, 42

In conclusion, the earliest day that Angelique and Bentley will be at the gym on the same day will be, the 42nd day.

Step-by-step explanation:

Have a great rest of your day
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Answer:

it is 291.60

Step-by-step explanation:

ik this bc i had the question on my assignment

Answer:

185 greater than or equal to 53x

Step-by-step explanation:

Answer:

The distance between both numbers is 3.2.

Step-by-step explanation:

How to find the answer is to:

1. Subtract the 9 and 7 to get 2.

2. Place your decimal point behind the 2 to make .2

3. Do 5 minus 2 to get 3.

Your answer is 3.2.

Answer: 11x + 12y

Step-by-step explanation:

Step 1: Just combine like terms

12x + 2y + - x + 10y

(12x + -x) + (2y + 10y)

= 11x + 12y

Answer:

you collect like terms

i.e 12x-x+2y+10y

13x+12y(sum)

The phrase "4 divided by the sum of 4 and a number" can be translated into an algebraic expression as 4 / (4 + x). In this expression,

'x' represents the unknown number. The numerator, 4, indicates that we have 4 units. The denominator, (4 + x), represents the sum of 4 and the unknown number 'x'. Dividing 4 by the sum of 4 and 'x' gives us the ratio of 4 to the total value obtained by adding 4 and 'x'.

This algebraic expression allows us to calculate the result of dividing 4 by the sum of 4 and any given number 'x'.

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The length of BE is equal to 4.8 units.

In Mathematics and Geometry, the area of a triangle can be calculated by using this formula:

Area of triangle = 1/2 × b × h

Where:

Based on the information provided above, the area of triangle ABC can be modeled by the following mathematical equation:

Area of triangle ABC = 1/2 × AB × CF   .....equation 1.

Area of triangle ABC = 1/2 × AC × BE   .....equation 1.

By equating equations 1 and 2, we have:

1/2 × AC × BE = 1/2 × AB × CF

BE = (AB × CF)/AC

BE = (6 × 4)/5

BE = 24/5

BE = 4.8 units.

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Answer:

hectometer

Step-by-step explanation:

hecto means 100 so hectometer means 100 meters :0

Answer:

hectometer

Step-by-step explanation:

1 hectometer (hm) = 100 meters

Answer:

−4+y

Step-by-step explanation:

3+(−7+y)

Subtract 7 from 3 to get −4.

−4+y

Answer:

1) 1\(\frac{1}{8}\)

2) 2\(\frac{5}{7}\)

3) 1\(\frac{8}{9}\)

Step-by-step explanation:

Step-by-step explanation:

4 7/8 + __ = 6

__ = 6 - 4 7/8

__ = 1 1/8

3 2/7 + __ = 6

__ = 6 - 3 2/7

__ = 2 5/7

3 1/9 + __ = 5

__ = 5 - 3 1/9

__ = 1 8/9

Topic: Fractions

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According to the given curve, we can see that the domain of the graph is between the values -5 and 3. The domain in interval notation will be[-5, 3]

The domain of a function is the dependent variable for which a function exists.

For a graph, the value along the x-coordinate of the graph will be the domain of the graph.

According to the given curve, we can see that the domain of the graph is between the values -5 and 3. The domain in interval notation will be[-5, 3]

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