What is 30% of 30???????

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

The length of side BD which is the altitude of the triangle is 2√(70)

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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Answer:

76.3 cm²

Step-by-step explanation:

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A swimming pool is 20.6m long, 8.5m broad, and has a water depth of 1.7m on average. The volume of water needed to fill the pool is 297.67 m³.

First we need to find the volume of the pool

length = 20.6

breadth = 8.5

height= 1.7

Volume of the pool = length × breadth × height

= 20.6 × 8.5 ×1.7

= 297.67 m³

volume of water needed to fill the pool = volume of the pool

= 297.67 m³

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI derived units (such as the cubic metre and litre) or other imperial or US customary measures (such as the gallon, quart, and cubic inch).

Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies.

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When operating under Instrument Flight Rules (IFR) with a Visual Flight Rules (VFR) on-top clearance, the altitude to be maintained depends on the specific clearance and regulations in place.

Generally, when flying VFR-on-top, the pilot is authorized to operate in VFR conditions above a layer of clouds or other obscuring phenomena. In terms of altitude, the pilot is expected to maintain a cruising altitude appropriate for the direction of flight and comply with the relevant airspace regulations. This typically involves flying at the appropriate altitude for the specific airspace class, as defined by the Federal Aviation Regulations (FARs) or the applicable regulatory authority. It's important for pilots to review and understand the specific requirements and altitude restrictions outlined in their VFR-on-top clearance, as well as any additional instructions provided by air traffic control.

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Brandon needs a total of 276 roses in all.

To find out how many roses Brandon needs in total, we can calculate the number of roses in the large arrangements and the small arrangements separately, and then add them together.

Number of large arrangements = 3

Number of roses in each large arrangement = 28

Total number of roses in large arrangements = Number of large arrangements * Number of roses in each large arrangement

Total number of roses in large arrangements = 3 * 28 = 84 roses

Number of small arrangements = 12

Number of roses in each small arrangement = 16

Total number of roses in small arrangements = Number of small arrangements * Number of roses in each small arrangement

Total number of roses in small arrangements = 12 * 16 = 192 roses

To find the total number of roses, we add the number of roses in the large arrangements and the small arrangements:

Total number of roses = Total number of roses in large arrangements + Total number of roses in small arrangements

Total number of roses = 84 + 192 = 276 roses

Therefore, Brandon needs a total of 276 roses in all.

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Using linear interpolation, the value of n that corresponds to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.

Linear interpolation is a method used to estimate values between two known data points. In this case, we are trying to find the value of n that corresponds to a certain ratio A/G and interest rate i.

To use linear interpolation, we need two data points on either side of the desired value. Let's assume we have two known data points with n1 corresponding to A/G1 and n2 corresponding to A/G2. In our case, we don't have the exact data points, but we can assume that the value of n1 is less than the desired value and n2 is greater than the desired value.

Using the formula for linear interpolation:

n = n1 + [(A/G - A/G1) / (A/G2 - A/G1)] * (n2 - n1)

In our case, we are given A/G = 5.4000 and i = 8% per year with annual compounding. We need to find the value of n corresponding to this ratio.

Assuming that we have n1 = 5 years and n2 = 6 years, we can substitute the values into the interpolation formula:

n = 5 + [(5.4000 - A/G1) / (A/G2 - A/G1)] * (6 - 5)

Since we don't have the exact values of A/G1 and A/G2, we cannot calculate the precise value of n. However, the result will be approximately 5.40 years.

Therefore, using linear interpolation, we estimate that the value of n corresponding to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.

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Therefore, the 99% confidence interval for the proportion of unemployed heads of households in the population is approximately 0.063 to 0.129.

To compute a 99% confidence interval for the proportion of unemployed heads of households in the population, we can use the formula for a confidence interval for a proportion:

P ± Z * sqrt(P(1 - P) / n)

Where:

P is the sample proportion of unemployed heads of households (48/500 = 0.096)

Z is the Z-score corresponding to a 99% confidence level (approximately 2.576 for a 99% confidence level)

n is the sample size (500)

Plugging in the values, we can calculate the confidence interval:

Lower Limit = 0.096 - 2.576 * sqrt((0.096 * (1 - 0.096)) / 500) ≈ 0.063

Upper Limit = 0.096 + 2.576 * sqrt((0.096 * (1 - 0.096)) / 500) ≈ 0.129

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Answer:

The area is 196π, or 615.752160 when evaluated to 6 decimal places.

Step-by-step explanation:

There is an equation for the area of a circle:

A=π\(r^{2}\), Where A is the area and r is the radius. π is π, it is its own number. Plugging in the radius stated we can evaluate:

A=π(\(14^{2}\))

A=196π

If we write out π and evaluate with an (un)reasonable amount of decimal places:

π≅3.1415926536

A=196×(3.1415926536)

A≅615.752160

Answer:

A = \(\pi ^{2}\)

Step-by-step explanation:

A≈615.75

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Answer:

7.79

Step-by-step explanation:

Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.

To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.

The responses given were:

5, 10, 12, 10, 12, 6

When ordered we get:

5, 6, 10, 10, 12, 12

The middle number is found by the formula:

= (Middle number₁ + Middle number₂) / 2

= (10 + 10) / 2

= 10 hours

To find the mean, simple add up all the responses and then divide by the number of students:

= (5 + 6 + 10 + 10 + 12 + 12) / 6 student

= 55 / 6

= 9. 2 hours

The question is:

find median and the mean number of hours for these students

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Answer:

Rotation 180 degrees

Step-by-step explanation:

hope this helped <3

Answer:

- 40

Hope this helps!

Step-by-step explanation:

( 4d - 6 )( 4d - 4 )  :  Cross Multiply

( 4d × 4d ) + ( 4d × (-4)) + ((-6) × 4d ) + ((-6) × (-4))

\(16d^{2}\) - 16d - 24d + 24  :  ( Combine like terms )

\(16d^{2}\) - 40d + 24

Answer:

4. 1.7 miles

Step-by-step explanation:

1 mile = 5280 feet

Then

8900 feet = 1.7 miles

Answer:

in sure that it is 1.7 sorry if not

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

All the batter would fit into the pan as it has more volume than half a gallon.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

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There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be $782.40. Then the correct option is C.

APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.

Paul is going to buy a collectible vintage painting from a local art gallery.

The painting is priced at $600 in the gallery.

The gallery owner does accept credit cards but prefers cash.

In fact, he offers to give paul a 5% discount if he can pay in cash.

Paul doesn't have any cash but can get a cash advance on his credit card.

His credit card has an apr of 16% on credit purchases and a 32% apr on cash advances.

When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be

\(\rm A = 0.95 \times 600 (1+\dfrac{0.32}{12})^{12}\\\\A = 782.40\)

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Answer:

5 2/3

Step-by-step explanation:

Answer:

y = (1/3)x + 2

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b, where y and x are variables, m is the slope of the line, that is the ratio of the change in vertical distance to horizontal distance while b is the y intercept of the graph.

From the graph, we can see that the y intercept (where the graph touches the y axis) is 2. Hence b = 2

Also, the slope (m) = change in y / change in x = 1 / 3

The equation of the line is:

y = (1/3)x + 2

Answer:y = (1/3)x + 2

Step-by-step explanation:

hope this helps

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

We can determine that the helicopter is 1000 feet above the ground using trigonometry.

The number of sides in a triangle and how their individual sine angles are equal are determined by the law of sines. The sine law also goes by the names sine law, sine rule, and sine formula.

The law of sine is used to determine the side or unknown angle of an oblique triangle.The sine law must be applied concurrently with at least two different angles and their associated side lengths.

By utilising the rule of sines and trigonometric functions, we can express the height of a helicopter above the ground in this problem's geometric design. First, using the sine law, locate the missing sides.

4000 / sin 90°

= J / sin 30°

= A / sin 60°

4000 = J / (1 / 2) = A / (√3 / 2)

J = 2000 ft

A = 3464 ft

Secondly, locate the helicopter by using trigonometric functions:

h = 2000 × sin 30°

h = 2000 × (1 / 2)

h = 1000 ft

The helicopter is 1000 feet above the surface of the earth.

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The work required to stretch the spring is 91.6 Ibs-inch

What is work?

Work is defined as force applied across a distance. Work examples include pushing an object against gravity, driving a car up a hill, and lowering a captive helium balloon. Work is the mechanical expression of energy.

Δx : displacement from equilibrium position

f = k Δ x (force due to spring = -kΔx)

where, k is the spring constant

Given,

f = 20ibs

Δx = 24 -18 Inches = 6 inches

∴ k = 20/6 ibs/inch

Now, PE stored in spring = 1/2 k (Δx)²

Δx : displacement from equilibrium position

Work done = change in PE

= 1/2K (Δx₂)² -1/2k (Δx₁)²

given,

Δx₁ = 21-18 inches = 3 inches

Δx₂ = 26-18 inches = 8 inches

∴work done = 1/2 * 20/6 (8² - 3²)Ibs-inches

=10/6 *5*11

work done = 91.6 ibs-inch

The spring must be stretched with 91.6 Ibs-inch of force.

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The volume of the cone without a base made from a quarter-circle is 27π³/5.

Given that a cone without a base is made from a quarter-circle. The base of the cone is a circle of radius 3 cm. We are to find the volume of the cone.To find the volume of the cone, we need to know the radius of the cone, height of the cone and apply the formula for the volume of a cone, which is given by V = 1/3πr²h.

As the radius of the base of the cone is 3 cm, then the circumference of the base of the cone is given byCircumference, C = 2πr = 2 × π × 3 = 6π cmIf a quarter-circle is used to form the cone, the radius of the quarter-circle is equal to the circumference of the circle. Hence the radius of the quarter-circle is 6π/4 = 3π/2 cm.The slant height, l of the cone can be found using the Pythagorean theorem.l² = (r + h)² + r²l² = (3π/2 + h)² + 3²From the figure above, we can form a right-angle triangle using the slant height, radius, and height of the cone.

Hence,l² = r² + h²l² = 3² + h²But r = 3π/2,l² = (3π/2)² + h²l² = 9π²/4 + h²Equating the two equations gives9π²/4 + h² = (3π/2 + h)² + 9h²9π²/4 + h² = 9π²/4 + 6πh + h² + 9h²9π²/4 - 9π²/4 = 6πh + 10h²h(6π + 10h) = 0h = 0 or h = -6π/10Rejecting h = 0 as an extraneous solution, we obtain h = 3π/5.Substituting the value of h into the equation for the slant height, l givesl² = (3π/2 + 3π/5)² + 3²l² = (15π/10 + 9π/10)² + 9l² = (24π/10)² + 9l² = 576π²/100 + 9l²The volume of the cone is given byV = 1/3πr²h = 1/3π(3)²(3π/5)V = 9π²/5(3/1) = 27π³/5.

Therefore, the volume of the cone is 27π³/5. Hence, the volume of the cone without a base made from a quarter-circle is 27π³/5.

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for the to be parallel both the angle must be equal

so 7x - 20 = 3x + 20 - > 4x = 40⁰

x = 10⁰

Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

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The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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Answer:

add them together and equal them to 180 i think

Step-by-step explanation: