If a scale drawing of a room measures 5 inches by 6 inches, and the drawing is at 1:10 scale, how large is the actual room?

Answer:

Step-by-step explanation:

The average speed is defined as the total distance traveled divided by the total time taken.

from A to B

distance= 100 miles

speed= 50 mi/h

speed= distance/time

time= distance/speed

time= 100/50

time= 2 hours

from B to C

distance= 100 miles

speed= 70 mi/h

speed= distance/time

time= distance/speed

time= 100/70

time= 10/7 hours

Average speed= total distance/total time

total distance= 200 mile

total time= 2+10/7= (14+10)/7= 24/7

Average speed= 200/24/7

Average speed= 200*7/24

Average speed= 1400/24

Average speed= 58.3 mi/hour

Step-by-step explanation:

56× 4=224

224+5= 229

229-53=176

176×23=4048

4048+500=4548

The answer is = 4548

No, the proposed tank with the location of the outlet pipe will not serve the farmer's purpose. A 2" diameter outlet pipe is too small to empty the tank within a day, considering the limited supply of 541,500 cubic feet of water daily. A larger outlet pipe is required to ensure efficient drainage.

1. Calculate the volume of the proposed tank:

  Volume = Length x Width x Depth

         = 190 ft x 190 ft x 10 ft

         = 361,000 cubic feet

2. Deduct the thickness of the tank walls from the dimensions:

  Inside Length = 190 ft - 2(6 ft) = 178 ft

  Inside Width = 190 ft - 2(6 ft) = 178 ft

  Inside Depth = 10 ft - 2(6 ft) = -2 ft (Note: The inside depth cannot be negative)

3. Since the inside depth is negative, the proposed tank dimensions are not feasible. We need to adjust the dimensions to accommodate a positive inside depth.

4. Let's increase the inside depth by 1 ft to avoid overflow. The new inside depth becomes 11 ft.

5. Calculate the required volume for the adjusted tank:

  Adjusted Volume = Inside Length x Inside Width x Inside Depth

                  = 178 ft x 178 ft x 11 ft

                  = 344,596 cubic feet

6. To determine the minimum required dimensions of a square tank, we need to calculate the length and width of the tank.

  Since the length should remain 190 ft, the width can be calculated as:

  Width = Adjusted Volume / (Length x Depth)

        = 344,596 cubic feet / (190 ft x 11 ft)

        = 179.7 ft (approximately)

7. Round the width to the nearest foot, resulting in a width of 180 ft.

8. The final proposed tank dimensions are: Length = 190 ft, Width = 180 ft, and Depth = 11 ft.

9. Create a neat sketch of the tank, showing the section of the tank with the location of the outlet pipe. The outlet pipe should be positioned near the bottom of the tank to ensure the entire tank can be emptied efficiently.

To learn more about outlet pipe, click here: brainly.com/question/1600616

#SPJ11

The given equation is

5(x - 3) = x + 13

We want to test if x = 6 is a solution. We would substitute x = 6 into the equation. We have

5(6 - 3) = 6 + 13?

5(3) = 6 + 13?

15 = 19?

Since both sides of the equation is not equal, then

x = 6 is not a solution of the equation

Answer:

The answer is A. they quickly illustrate measure of center. and C. they show trends in data that can be compared.

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

Learn more about Set:

brainly.com/question/28492445

#SPJ11

The value of segment of the triangle v is x = 2, and the value of u = 2√2.

A right triangle is a triangle with one right angle, while an isosceles triangle is a sort of triangle with two equal-length sides (90 degrees). An isosceles right triangle is one that has a right angle and two congruent sides. An isosceles triangle has two equal-sized angles on either side of its congruent sides. An isosceles right triangle has one angle that is 90 degrees and two congruent angles.

The given triangle is a special triangle with the angle 45-45-90, thus the side lengths are in ratio x : x: x√2.

The value corresponding to angle 45 is 2.

Thus, the value of side v is x = 2, and the value of u = 2√2.

Learn more about isosceles triangle here:

https://brainly.com/question/26259604

#SPJ1

The cardinality of the set A is 4

From the question, we have the following parameters that can be used in our computation:

A = {2, 4, 6, 8}

In the above, we can see that

There are 4 elements in the set

By the definition of cardinality, we have the cardinality of set A to be 4

Hence, the cardinality of set A is 4

Read more about set at

https://brainly.com/question/13458417

#SPJ4

Question

The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A

A = {2, 4, 6, 8}

The advertising firm should sample 753 individuals to estimate the proportion who would consider buying the product to within a margin of error of ±3% with 90% confidence.

Margin of error, sample size and confidence level are crucial aspects of the sample survey that determine the accuracy of the outcome. The advertising firm plans to have a sample of individuals view a commercial on a ‘‘sunscreen pill" that one can swallow to provide mild SPF protection throughout the day.

After viewing the commercial, each individual will be asked if he/she would consider buying the product. How many individuals should the firm sample to estimate the proportion who would consider buying the product to within a margin of error +-3% with 90% confidence?Given dataMargin of error (E) = 3%Confidence level = 90% The confidence level means that the sample should give results that have a 90% chance of falling within the margin of error.

The margin of error is given by the formula:Margin of error = z * sqrt(p*q/n)where: z is the z-score (value from the standard normal distribution table) that corresponds to the given confidence level. For 90% confidence level, z is 1.645.p is the estimated proportion of people who would consider buying the product.q is the estimated proportion of people who would not consider buying the product.

Since there is no prior estimate, it's assumed to be 0.5n is the sample size. The formula can be rearranged to solve for the sample size, n. n = (z/E)² * p*qTaking z = 1.645, E = 3%, p = 0.5, q = 0.5, we getn = (1.645/0.03)² * 0.5 * 0.5= 752.68 ≈ 753 individuals

for more search question estimate

https://brainly.com/question/29323776

#SPJ8

The expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ ,  (2.5)ⁿ , 2⁻ⁿ/5⁻ⁿ.Options A, B, D, and F are correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the expression is, 5ⁿ/2ⁿ

The expression can be written in different ways as,

5/2)ⁿ

(2/5)⁻ⁿ

(2.5)ⁿ

2⁻ⁿ/5⁻ⁿ

Thus, the expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ ,  (2.5)ⁿ, 2⁻ⁿ/5⁻ⁿ. Options A, B, D, and F are correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Answer:

H =

\(x = \frac{7 + - i \sqrt{71} }{10} \)

I =

\(x = \frac{ - 1 + - i \sqrt{35} }{6} \)

Quadratic Formula

x = -b +- sqrt{b^2 - 4ac}/(2a)

For question H, subtract 4 from 10 and equate to 0. We now let a = 5, b = -7 and c = 6.

Plug into the formula and do the math..

For question I, subtract 7 from 13 and equate to 0. We know let a = 6, b = 2 and c = 6.

Plug into the formula and do the math.

Answer:

8:48

Step-by-step explanation:

Start with 6. You add 2 hours. Your hour is 8.

You have 30 minutes. Add 18 minutes. You have 30 plus 18 which equals 48. You put the hour which is 8 and the minutes which is 48.

The car with the better mileage is the hybrid car.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

Compact car:

288 miles with 9 gallons of gas.

This means,

y = 32x

Where y is the distance traveled with x gallons

The distance traveled per gallon.

= 288/9

= 32 miles

Hybrid car:

y = 42x represents the distance traveled with x gallons.

Where y is the distance traveled with x gallons

The distance traveled per gallon.

y = 42 x 1 = 42 miles

Thus,

The hybrid car gets better mileage.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The complete question is:

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y= 32x.

The distance y traveled by a hybrid car using x gallons of gas can be represented by y = 42x. Which car gets better gas mileage? Explain.

Total ways can occur is 19,653,800.

What is Combination?

Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.

The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).

Combinations are calculated as follows: C (n, k)=\(n! / (k! (n-k)!).\)

Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:\(C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\\)

Learn more about combination at https://brainly.com/question/30465239

#SPJ4

in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.

What is Combination?

In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.

The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).

Combinations are calculated as follows: C (n, k)= \(\frac{n!}{k!(n-k)!}\)

Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800

Learn more about combination at

brainly.com/question/28065038

#SPJ4

82sq ftAnswer:

Step-by-step explanation:

Make sure to adjust the folder structure according to your needs when testing the code.

Here is the implementation of the `create_folders` function that takes a nested 2D list of strings representing folder structure and creates the corresponding folder structure:

```python

import os

def create_folders(structure):

   for item in structure:

       if isinstance(item, str):

           # Create the folder

           os.makedirs(item, exist_ok=True)

       elif isinstance(item, list):

           # Recursively create subfolders

           folder_name = item[0]

           subfolders = item[1:]

           os.makedirs(folder_name, exist_ok=True)

           os.chdir(folder_name)

           create_folders(subfolders)

           os.chdir('..')

```

You can test the function by creating your own folder structure and calling the `create_folders` function with it. For example:

```python

structure = ['f1', ['subf11', 'subf12'], 'f2', ['subf21', 'subf22', 'subf23'], 'f3']

create_folders(structure)

```

This will create the following folder structure:

```

- f1

   - subf11

   - subf12

- f2

   - subf21

   - subf22

   - subf23

- f3

```

Make sure to adjust the folder structure according to your needs when testing the code.

To know more about Coding related question visit:

https://brainly.com/question/17204194

#SPJ11

Answer:-30

Step-by-step explanation:kinda hard to tell a little shaky so sorry if it is wrong.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

2.1

Step-by-step explanation:

18.90 divided by 9=2.1

Given:

Consider the equation is

\(\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}\)

To find:

The value of x.

Solution:

We have,

\(\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}\)

Using properties of exponents, we get

\(h^{-16-x}=h^{-24}\)       \([\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]\)

On comparing both sides, we get

\(-16-x=-24\)

Add 16 on both sides.

\(-x=-24+16\)

\(-x=-8\)

Multiply both sides by -1.

\(x=8\)

Therefore, the value of x is 8.

Answer:

The answer is -71.124

Step-by-step explanation:

Since there is a subtraction sign next to a negative it becomes addition.

so the equation becomes -95.004 + 23.88 which were going to flip around to 23.88 - 95.004

So,

     23.880

  -  95.004

-------------------

       -71 .124

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

Learn more about sine function click;

https://brainly.com/question/12015707

#SPJ1

Answer:

its 6,7 just make it right if im wrong

Answer:

4 ounces

Step-by-step explanation:

Answer:

1 stick butter is equivalent to __4___ ounces.

Step-by-step explanation:

1 stick of butter is equal to 4 ounces

Answer:

the domain in yearly intervals is [0, 13].

Step-by-step explanation:

To identify the domain (in yearly intervals) where the car's value is less than $1,000, we need to find the values of t for which M(t) is less than $1,000.The exponential model for the car's value is given by:M(t) = 30,000 * (4/5)^tWe can set up the inequality:M(t) < 1,000Substituting the expression for M(t):30,000 * (4/5)^t < 1,000Dividing both sides by 30,000:(4/5)^t < 1,000/30,000

(4/5)^t < 1/30To simplify the inequality further, let's take the logarithm (base 4/5) of both sides:log(base 4/5) [(4/5)^t] < log(base 4/5) [1/30]t * log(base 4/5) (4/5) < log(base 4/5) (1/30)Using the property of logarithms, where log(base a) a = 1:t * 1 < log(base 4/5) (1/30)t < log(base 4/5) (1/30)Now, we can evaluate the right side of the inequality:t < log(base 4/5) (1/30) ≈ 13.45Since t represents time in years, the domain that contains all the years when the car's value is less than $1,000 is from t = 0 to t = 13 (inclusive), as any value of t greater than 13 will result in a value greater than $1,000.

The domain, in yearly intervals, that contains all the years the car's value is less than $1,000 is 0 ≤ t < 12.

The given exponential model for the value of the midsize car is M(t) = 30,000 · (4/5)^t, where t represents the time in years.

We need to identify the domain, in yearly intervals, where the car's value is less than $1,000. To find this, we set up the inequality M(t) < 1,000 and solve for t.

Replacing M(t) with the given model, we have 30,000 · (4/5)^t < 1,000. To solve this inequality, we can take the logarithm of both sides.

After solving the logarithmic equation and rounding the result to the nearest year, we find that the car's value is less than $1,000 for t < 12 years.

Therefore, the domain in yearly intervals that contains all the years when the car's value is less than $1,000 is 0 ≤ t < 12.

https://brainly.com/question/35144940

#SPJ2

Answer:

07698+96965#5_(-&)!:86539'6";

The solution to the given expression will be \(\dfrac{-8\pm\sqrt{180}}{6}\).

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The given equation will be solved as:-

= 3x² + 8x - 10  

Using the formula of factors:-

x = \(\dfrac{-b\pm\sqrt{b^-4ac}}{2a}\)

x = \(\dfrac{-8\pm\sqrt{64-(-120)}}{2\times 3}\)

x = \(\dfrac{-8\pm\sqrt{180}}{6}\).

Therefore the solution to the given expression will be \(\dfrac{-8\pm\sqrt{180}}{6}\).

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ1

Answer:

12:20 PM

Step-by-step explanation:

Answer: reminder u are loved. <3

Step-by-step explanation:

We can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

To determine how many guests can be expected to receive free admission, we need to use the given information about the ratio of guests with coupons to guests without coupons. We can do this by setting up a proportion and solving for the unknown variable.

Let x be the number of guests we can expect to receive free admission.
1/50 = x/1500

Cross-multiplying gives us:
50x = 1500

Dividing both sides by 50 gives us:
x = 30

Therefore, we can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

Here to learn more about the Ratio and Proportion at the link https://brainly.com/question/12024093

#SPJ11

Convert 75 degrees to radians

since

then

75 degrees to rads is given by

notice how the degree symbol(°) is cancelled then we only have the rads units

then