What is 2 ÷ 1/6?
A. 1/12
B. 2
C. 6
D. 12

The limand is continuous at x = π/6, so by direct substitution

\(\displaystyle \lim_{x\to\pi/6} \frac{x^2}{\tan(x)} = \frac{\left(\frac\pi6\right)^2}{\tan\left(\frac\pi6\right)} = \frac{\pi^2}{36\times\frac1{\sqrt3}} = \boxed{\frac{\pi^2}{12\sqrt3}}\)

There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

hi how are you doing today Jasmine

Answer:

Arrange students in groups of 2. Instruct students to first read through the problems and decide on what information they need to solve each problem. Record relevant information for all students to see. Only record information when students have asked for it. Possible information students will ask for include:Mai’s dad’s computer holds 500 gigabytes of storage space.A kilobyte is 1,000 bytes, a megabyte is 1,000,000 bytes, and a gigabyte is 1,000,000,000 bytes.1 character is roughly 1 byte.An emoji is roughly 4 bytes.A full-length, high-definition film is around 8 gigabytes and runs 2 hours.A person sleeps about 8 hours in a night.

Step-by-step explanation:

Mark me brainliest!!

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

\(\boxed{c.\:x\:=\:-3}\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3\)

\({ \bf{ \underbrace{To\:verify :}}}\)

\( \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S\)

Hence verified.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

The probability of randomly selecting the three youngest of the qualified candidates is: P(getting the three youngest of the qualified candidates) = 1/165

What is probability ?

Probability can be defined as ratio of number of favourable outcomes, total number of outcomes.

(a) To appoint the four officers, we need to select 4 people out of 11 candidates, without regard to the order in which they are appointed. This can be done in:

11C4 = (11!)/(4!(11-4)!) = 330 ways

Therefore, there are 330 different ways to appoint the officers.

(b) To appoint the planning committee, we need to select 3 people out of 11 candidates, without regard to the order in which they are appointed. Since officers can also serve on the committee, any of the 4 officers can also be selected as part of the committee. Therefore, the total number of ways to appoint the committee is:

(11 + 4)C3 = 15C3 = (15!)/(3!(15-3)!) = 455 ways

Therefore, there are 455 different ways to appoint the committee.

(c) The probability of randomly selecting the three youngest of the qualified candidates is the number of ways of selecting those three candidates divided by the total number of ways of selecting any three candidates. The number of ways of selecting the three youngest candidates is:

3C3 = 1

The total number of ways of selecting any three candidates is:

11C3 = (11!)/(3!(11-3)!) = 165

Therefore, the probability of randomly selecting the three youngest of the qualified candidates is: P(getting the three youngest of the qualified candidates) = 1/165

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If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.

Let's denote the scale factor between the sides as "k."

For surface area:

The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.

For volume:

The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.

Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

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Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

The correlation coefficient between poor hearing and loud music in a group of people is 0.67. We need to analyze the statement: "Poor hearing is caused by listening to loud music" and determine if it is a reasonable conclusion.

The statement is not a reasonable conclusion. While there is a positive correlation between poor hearing and loud music (indicated by the correlation coefficient of 0.67), correlation does not imply causation. A correlation coefficient above 0.5 suggests a moderate positive relationship between the variables but does not provide evidence of a causal relationship.

It is important to note that correlation only shows the strength and direction of the relationship between variables, not the cause and effect. Many other factors could contribute to poor hearing, such as genetics, age, exposure to loud noises in other contexts, or underlying health conditions. Therefore, it is incorrect to conclude that everyone who listens to loud music has hearing trouble or that poor hearing is solely caused by listening to loud music. The data does not support a causal relationship between poor hearing and listening to loud music, and it is possible for individuals who listen to loud music to have normal hearing abilities.

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If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

$60

Step-by-step explanation:

Given the following, Mass of the wooden rod, m = 0.180 kgLength of the wooden rod, l = 1.25 m Distance of the spot on the rod from the axis of rotation, r = 0.95 m(a) What is the angular acceleration of the rod after it is released?The angular acceleration, α = ?

The moment of inertia, I of a rod pivoted at one end, having length L and mass M is given by;I = (1/3)ML²Substitute the given values,

I = (1/3) x 0.180 kg x (1.25 m)²

I = 0.0478 kg m²

The torque,

τ = Iα

We know that torque, τ = FrWhere, F is the force applied at a perpendicular distance r from the axis of rotationOn releasing the wooden rod, the force of gravity acting on it provides the torque around the pivot.

Thus,τ = Frg, where g is the acceleration due to gravityτ = Iαα = (τ/I)α = (mgr)/Iα = (0.180 kg x 9.81 m/s² x 1.25 m)/(0.0478 kg m²)α = 94.8 rad/s²

The angular acceleration of the rod is 94.8 rad/s².(b) What is the linear acceleration of a spot on the rod that is 0.95 m from the axis of rotation.

The linear acceleration,

a = ?a = rαa = (0.95 m) x (94.8 rad/s²)

a = 90.06 m/s²

The linear acceleration of the spot is 90.06 m/s².(c) At what location along the rod should a die be placed (figure 11-9) so that the die just begins to separate from the rod as it falls?The location of the die along the rod, x = ?We know that the force applied at the point, x, on the rod is equal to the weight of the rod that is acting on this point. We can use this fact to determine the location of the die.x is such that

mg = Fg = ma

Where,Fg is the force acting on the die,mg is the weight of the rodma is the force acting on the die, which is equal to

FgFg = mgFg = 0.180 kg x 9.81 m/s²

Fg = 1.764 N

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If Lola uses only ³/₄ gallons of fruit juice, proportionately, she will need the following quantities of the other ingredients:

Proportion is the ratio or relative relationship of one value against another.

Proportion is used to show the quantity of a number contained in another.

Proportions are depicted using fractions, decimals, or percentages.

Available Ingredients for a Punch Recipe:

Bottles of ginger ale = 2 liters

Gallons of fruit juice = 1 gallon

Gallons of sherbet = ¹/₂ gallons

The proportion of fruit juice used = ³/₄ gallons

The proportion of ginger ale to be used = 1¹/₂ liters (2 x ³/₄)

The proportion of sherbet to be used = ³/₈ gallons (¹/₂ x ³/₄)

Thus, in proportion, Lola will use 1¹/₂ liters of ginger ale and ³/₈ gallons of sherbet if she cuts the recipe by using ³/₄ gallons of fruit juice.

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Omg the legs are gonee

fr where are the legs

The Moon is a natural satellite of the Earth and it takes approximately 27.3 days to complete one rotation around its own axis.

The day and night cycles on the Moon are longer than those on Earth.

The reason for this difference in the length of day and night cycles is due to the Moon's synchronous rotation means that it takes the same amount of time for the Moon to complete one rotation around its own axis as it takes to complete one orbit around the Earth.

The synchronous rotation of the Moon is a result of the gravitational forces between the Earth and the Moon.

These forces have caused the Moon's rotation to gradually slow down over time, until it became synchronized with its orbit around the Earth.

As a result, the same side of the Moon always faces the Earth and the other side is permanently hidden from view.

The longer day and night cycles on the Moon have important implications for the lunar environment.

The extreme temperature variations between the day and night sides of the Moon make it a challenging environment for human exploration.

The daytime temperatures on the Moon can reach up to 127°C (261°F), while the nighttime temperatures can drop to -173°C (-280°F).

The Moon's day and night cycles are longer than those on Earth due to its synchronous rotation with its orbit around the Earth.

This unique phenomenon has important implications for the lunar environment and presents challenges for human exploration of the Moon.

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Answer:

Its sideways i cant see the question

Step-by-step explanation:

Answer:

weell

Step-by-step explanation:

thats confusing

Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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Answer:

20.78 feets

Step-by-step explanation:

Based on the solution diagram attached below :

The height at which the step ladder meets the house can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin θ = h / 24

Sin 60 = h / 24

0.8660254 = h/24

Height, h = 0.8660254 * 24

Height, h = 20.78 feets

Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.

Answer:

the answer is D. This does no represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

80 i think............

Answer:

the answers are 10, 6 and -2

ANSWER:

$148,655.8

STEP-BY-STEP EXPLANATION:

Given:

Original salary = $28,000

Increase per year = 3%

The sum of all the earnings would be the sum of the original salary, the salary after 1 year, the salary after 2 years, the salary after 3 years and the salary after 4 years.

The salary in each year is calculated by multiplying the original salary by the increase raised after n years, just like this:

Therefore, the total earnings would be as follows:

Therefore, the earnings in the first 5 years of MARla is $148,655.8

Answer:

68.6 in^3

Step-by-step explanation:

The formula for the volume of a cube is V=s^3

Answer:

a because 5 or less than 5 equals almost or less than 10

Answer:

7 1/2 ÷ 1 1/2

make them improper fractions;

15/2 ÷ 3/2

make 3/2 a reciprocal(basically flipping the fraction upside down)

15/2 ÷ 2/3

and multiply across;

15/2 x 2/3 = 30/6 which simplifies to 5 bags of flour.