20 points and brainliest to the best correct answer, show work for numbers 4, 5, and 7, questions are in photo, thank you.

Answer:

Step-by-step explanation:

Factorize both numbers:

Common factors are:

So HCF is:

\(\Large \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}} \: \red \mid\)

As per Euclid Division Algorithm.

\( \longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \: = \: bq \: + \: r \: }}}}} \)

\(\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \: = \: 270 \: \times \: 3 \: + \: 90\)

\(\large\bf{\orange{ \implies \: }} \: \:r \: \neq \: 0\)

Again Applying Euclid Division Algorithm

\(\large\bf{\purple{ \hookrightarrow \: }} \tt \: 270 \: = \: 90 \: \times \: 3 \: + \: 0\)

\(\large\bf{\orange{ \implies \: }} \: \:r \: = \: 0\)

As the reminder is 0 , 90 will be the greatest common divisor for the two given numbers.

\({\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \: = \: 90}}}}}}\)

The height of the staircase is approximately 16.44 feet.

To find the height of the staircase, we need to use trigonometry. Since we know that the angle of inclination is 60 degrees, we can use the sine function.
Let's call the height of the staircase "h" and the horizontal distance the man travels "x". We can use the following equations:
cos(60) = x / hypotenuse
sin(60) = h / hypotenuse
We know that cos(60) = 1/2, so we can solve for the hypotenuse:
1/2 = x / hypotenuse
hypotenuse = 2x
Now we can use the sine function:
sin(60) = h / (2x)
sin(60) = sqrt(3) / 2
h / (2x) = sqrt(3) / 2
h = (2x) * (sqrt(3) / 2)
h = x * sqrt(3)
We know that the man climbs a 19 foot staircase, so we can set x = 19:
h = 19 * sqrt(3)
h ≈ 32.9 feet
Therefore, the height of the staircase is approximately 32.9 feet.
height = length × sin(angle)
height = 19 × sin(60°)
Since sin(60°) is equal to √3/2, the calculation becomes:
height = 19 × (√3/2)
height ≈ 16.44 feet

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A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

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Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.

Approximately 2.28% of people are less assertive than Frank.

To find the percentage of people who are less assertive than Frank, we need to calculate the cumulative probability up to Frank's score using the normal distribution.

First, we need to standardize Frank's score using the formula:

z = (x - μ) / σ

where:
- x is Frank's score (30),
- μ is the mean of the distribution (20), and
- σ is the standard deviation (5).

Substituting the values into the formula:

z = (30 - 20) / 5
z = 10 / 5
z = 2

Now, we need to find the cumulative probability for a z-score of 2. We can look up this value in a standard normal distribution table or use a calculator. The cumulative probability for a z-score of 2 is approximately 0.9772.

To find the percentage of people who are less assertive than Frank, we subtract the cumulative probability from 1 and multiply by 100:

Percentage = (1 - 0.9772) * 100
Percentage ≈ 2.28%

Therefore, approximately 2.28% of people are less assertive than Frank.

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The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have angle GHJ = 82 units

Length of GH = 12 units

We know:

s = 2πr(θ/360)

s = (2π)12(82/360)

s = 17.17 units

Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

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Answer:

hi

Step-by-step explanation:

After considering the given data we conclude that the impulse provided by a single rocket to reduce the stopping distance of the C-130 cargo/transport plane from 430 m to 110 m is -276000 kg m/s, and the force provided by a single rocket is -87898 N.

To evaluate the impulse provided by a single rocket to reduce the stopping distance of a C-130 cargo/transport plane from 430 m to 110 m, we can apply the principle of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.
Considering that the friction is the sole source of deceleration over the stopping distance, we can use the equation of motion
\(v_f^2 = v_i^2 + 2ad,\)
Here,
\(v_f\) = final velocity,
\(v_i\) = initial velocity,
a = acceleration,
d = stopping distance.
For the C-130 cargo/transport plane, the initial velocity is 35 m/s, the stopping distance is 430 m, and the final velocity is 0 m/s.
Therefore, the acceleration is \(a = (v_f^2 - v_{i} ^{2} ) / 2d = (0 - 35^2) / (2 x 430) = -0.91 m/s^2.\)
To deduct the stopping distance to 110 m, 30 rockets are attached to the front of the plane and fired immediately as the wheels touch the ground. Considering that each rocket provides the same impulse, we can use the impulse-momentum theorem,
That states that the impulse provided by a force is equal to the change in momentum it produces.
Then F be the force provided by a single rocket, and let t be the time for which the force is applied. The impulse provided by the rocket is then given by
\(I = Ft\).
The change in momentum produced by the rocket is equal to the mass of the plane times the change in velocity it produces.
Considering m be the mass of the plane, and let \(v_i\) be the initial velocity of the plane before the rockets are fired. The alteration in velocity produced by the rockets is equal to the final velocity of the plane after it comes to a stop over the reduced stopping distance of 110 m.
Applying the equation of motion \(v_f^2 = v_i^2 + 2ad\), we can solve for \(v_f\) to get \(v_f\) \(= \sqrt(2ad) = \sqrt(2 * 0.4 * 9.81 * 110) = 28.1 m/s.\)
Hence, the change in velocity produced by the rockets is \(\delta(v) = v_f - v_i = 28.1 - 35 = -6.9 m/s\)

. The change in momentum produced by the rockets is then \(\delta(p) = m x \delta(v) = 40000 x (-6.9) = -276000 kg m/s.\)
To deduct the stopping distance from 430 m to 110 m, the total impulse provided by the rockets must be equal to the change in momentum produced by the friction over the remove stopping distance.
Applying the impulse-momentum theorem, we can solve for the force provided by a single rocket as follows:
\(I = Ft = -276000 kg m/s\)
\(t = 110 m / 35 m/s = 3.14 s\)
\(F = I / t = -276000 / 3.14 = -87898 N\)
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Answer:

The answer is D) Undefined because the equation is x=-11.

Answer: Don't use this if you are taking a test, please!

Step-by-step explanation:

Hello! This is actually easier than you think! All you have to do is make what is already written as a proportion.  You don't have to solve anything! You are already given one number which represents the first thing you were told, 4 cups of rice.  For 4 cups of rice, 5 cups of water are needed.  As a proportion, you would write 4/5.  For the second proportion you would write the 16 cups of rice per 20 cups of water as 16/20.  The answer is 4/5 = 16/20.  Hope this helps with your homework!

Answer:

Step-by-step explanation:

The function  has a domain x ≥ 5.

This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.

Hence, (x - 5) ≥ 0

⇒ x ≥ 5

Now, for all x values that are greater than equal to 5 the value of  will be negative.

So,  

⇒  

⇒ y ≤ 3

Therefore, the range of the function is y ≤ 3. (Answer)

Note: Thanks rani

Answer:

x^2 + y^2 = 4

Step-by-step explanation:

General for of a circle is x^2 + y^2 = r^2

The circle is centered at the origin and the radius is 2.

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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A recent report estimates that four out of every five dentists recommend a brand of toothpaste situation involves Inferential statistics.

Inferential statistics are widely employed to compare the differences between the treatment groups. Inferential statistics compare the treatment groups and make generalizations about the subject population using data from the experiment's sample of subjects. To offer answers for a situation or phenomena, inferential statistics is helpful. It differs fundamentally from descriptive statistics, which do not allow for result extrapolations and merely report the data that has already been measured.

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What is the percent​ increase from $200 to $280?

There was 40% increase from $200 to $280

What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

There was 65% increase with the baggage fee.

#1

Rate of increase (Percent increase)

\(\\ \tt\hookrightarrow \dfrac{80}{200}\times 100\)

\(\\ \tt\hookrightarrow 40\%\)

#2

Percent increase:-

\(\\ \tt\hookrightarrow \dfrac{130}{200}(100)\)

\(\\ \tt\hookrightarrow 65\%\)

Answer:

Step-by-step explanation:

Given lengths (in feet) of 1, 3, 5, 6, you want to know which three of them will form a triangle.

The differences between adjacent lengths are 3-1 = 2, 5-3 = 2, 6-5 = 1. The shortest side must be longer than the difference in lengths between the other two sides. Hence the 1 foot plank cannot be used. (It is not longer than either 1 or 2 feet.)

The remaining three planks satisfy the triangle inequality:

  3 + 5 > 6

  3 + 6 > 5

  5 + 6 > 3

Amanda should use the planks that are 3 feet, 5 feet, and 6 feet long.

Answer: 10

Step-by-step explanation:

When given the x and y values, you plug them in and solve.

-2-3(-4)         [multiply]

-2+12            [add]

10

Now, we know that the answer is 10. 10 is not provided as an answer choice, but it is the correct the answer.

Answer: I got 10 (not negative 10) but I don’t see it up there unless you put -10 as a choice on accident.

Answer: -3 and 12

Step-by-step explanation: -3+12=9 and -3(12)=-36

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Let's assume that the ocean footage for lot A is given as 150 feet. We will convert this measurement to yards to find the ocean footage to the nearest tenth of a yard.

Given:

Ocean footage for lot A: 150 feet

To convert feet to yards, we divide the measurement by 3 since there are 3 feet in 1 yard.

Ocean footage in yards = 150 feet / 3 = 50 yards

Therefore, the ocean footage for lot A is 50 yards (to the nearest tenth of a yard).

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Answer:

The answers are all below.

Step-by-step explanation:

7. Yes

Plug 10 in for t

10-3 ≥ 2

7 ≥ 2

8. No

Plug 1 in for w

6(1) < -2

6 < -2 (Nope)

9. Yes

Plug 5 in for p

5 + 1.6 ≤ 4

6.6 ≤ 4

10. Yes

Plug 0 in for d

\(\frac{1}{2}\)(0) > -3

0 > -3

11.

1(------------------>k

12.

n<------------------]2.5

13.

In order to try out for one of the parts in a play at the local theater, you must be at most 12 years old. Write an inequality that represents this situation.

x≤12

x<-----------------]12

14. Yes

Plug 2 in for h

3(2) - 7 < 2

Simplify

6 - 7 < 2

-1 < 2

15. No

Plug -12 in for q

-12 + 8 ≥ \(\frac{-12}{4}\)

Simplify

-4 ≥ -3 (Nope)

16.

    a. Yes

    Plug 0 in for x

    -2(0) < 10

    and

    -6 < -2(0)

    Simplify

    0 < 10

    and

    -6 < 0

    b. No

    Plug 4 in for x

    -2(4) < 10

    and

    -6 <  -2(4)

    Simplify

    -8 < 10

    -6 < -8 (Nope)

    c. -1

    Plug -1 in for x

    -2(-1) < 10

    and

     -6 < -2(-1)

    Simplify

    2 < 10

    and

    -6 < 2

The given sequence is a geometric sequence with a common ratio of 3.

A geometric sequence is a sequence where the quotient between any pair of consecutive terms is a constant, called the common ratio.

Here we have the sequence:

3, 9, 27, ...

The quotient between the first two terms is:

9/3 = 3

The quotient between the third and second terms is:

27/9 = 3.

So yes, we conclude that this is a geometric sequence, where the common ratio is 3.

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9514 1404 393

Answer:

  at most 63

Step-by-step explanation:

The inequality Jody can use to determine the number of sheets (s) of paper she can buy will be ...

  18.25 + 0.34s ≤ 40

  0.34s ≤ 21.75

  s ≤ 21.75/0.34 ≈ 63.97

Jody can buy up to 63 sheets of paper.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The square root of 5 (\(\sqrt{5}\)) is irrational.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option a. 0.05%.

To calculate the labor cost percentage for next Friday at the Fawlty Towers, we need to consider the number of rooms, the time required to clean each room, the number of working hours, the labor rate, and the occupancy rate. Here are the steps to determine the labor cost percentage:

Calculate the number of rooms to be cleaned. If the hotel has 1000 rooms and the occupancy rate for next Friday is 80%, then the number of occupied rooms would be 1000 * 0.8 = 800 rooms.

Calculate the total time required to clean the rooms. Since each room attendant is allocated 30 minutes per room, the total time required would be 800 rooms * 30 minutes = 24,000 minutes.

Convert the total cleaning time to hours. Since there are 60 minutes in an hour, the total cleaning time would be 24,000 minutes / 60 = 400 hours.

Calculate the total labor cost. Each room attendant works 8 hours per day, so for 400 hours, the hotel would require 400 hours / 8 hours = 50 room attendants. Considering their hourly rate of $15, the total labor cost would be 50 room attendants * $15/hour = $750.

Calculate the total revenue. The Average Daily Rate (ADR) is expected to be $150, and with an occupancy rate of 80%, the total revenue would be 800 rooms * $150/room = $120,000.

Calculate the labor cost percentage. Divide the total labor cost ($750) by the total revenue ($120,000) and multiply by 100 to get the percentage: ($750 / $120,000) * 100 = 0.625%.

Therefore, the labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option 0.05%.

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The Fawlty Towers is a Nuxury 1000 room hotel catering to business executives. The occupancy for nad Friday is expected to be 80% Room attendants are allocated 30 minutes to clean each room Room attendants work 8 hours per day at a rate of $15/hour. ADR is expected to be $150 What would the labour cost percentage be for next Friday assuming everything stays the same?

a. 0.05%

b. 5.00%

c. 20.00%

d. 0.20%

The sample ratio of defective batteries to total batteries in the shipment is 5%

A sample ratio if a fraction of a total part of a quantity. It can be expressed either in ratio or percent.

From the question,

total number of batteries in the shipment = 500

Sample size = 60

fraction of sample size  = 500/ 60

                                                25/ 3

Number of defective batteries in the sample size = 3

The number of defective batteries in total shipment = 25/3 x 3

                                                                    = 25

Sample ratio of defective batteries to total batteries = 25/ 500 * 100%

                                                                           = 5%

The Sample ratio of defective batteries to total batteries in the shipment is 5%.

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The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

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Answer:

0.18

Step-by-step explanation:

9/50 is the same as 18/100, we know this because if we multiply both 9 and 50 by 2, it gives us 18/100. 18/100 can be turned into the decimal, 0.18, so your answer is 0.18

I hope this helps :)

Answer:

(2, -3)

Step-by-step explanation:

Well the equation is y - y1 = m ( x - x1)

-3 = y1

2 = x1

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

The given equation is in point-slope form. That is,

\(y-y1=m(x-x1)\)

\(x1\) and \(y1\) is a point, while \(m\) is the slope.

So, \(y1=-3\) and \(x1=2\).

The point that this equation passes through is (2,-3).

I hope this helps!