Solve the inequality -6x>66

Answer:

The temperature on the moon at midnight was -250 degrees.

Step-by-step explanation:

235 - 485 = -250

Answer:

The correct answer is 6 ft. Hope this helps!

Step-by-step explanation:

Hello!

total = 3 + 1 = 4

1/4 = 1*9/4*9 = 9/36

3/4 = 3*9/4*9 = 27/36

The (x, y) coordinates of point P are approximately (31.19, 20.67).

It is stated that the point P lies at a distance of r = 37 units from the origin and forms an angle of θ = 35° with respect to the x-axis, we can use trigonometry to find the x and y coordinates.

Using the trigonometric definitions, we have,

x = r * cos(θ) = 37 * cos(35°) ≈ 31.19

y = r * sin(θ) = 37 * sin(35°) ≈ 20.67

Therefore, the approximate (x, y) coordinates of point P are (31.19, 20.67). The coordinates (31.19, 20.67) represent the position of point P in the Cartesian coordinate system based on the given distance and angle measurements.

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Complete question - A point P lies in a plane and is a distance of r = 37 units from the origin of a Cartesian coordinate system. If the line joining the point and the origin makes an angle of = 35° degrees with respect to the x-axis, what are the (x, y) coordinates of the point P?

The rate of change of the perimeter of the square is 11.2 cm/min when the side length is 6 cm.

Step 1: The area of a square is A = s2, where s is the side length.

Step 2: The rate of change of the area of the square is 28 cm2/min.

Step 3: The perimeter of the square is

P = 4s.

Step 4: Substitute s = 6 into the equation for P to get

P = 24 cm.

Step 5: Differentiate P with respect to time to get the rate of change of

the perimeter:

dP/dt = 4ds/dt.

Step 6: Substitute the rate of change of the area (dA/dt = 28 cm2/min) into the equation for dP/dt to get dP/dt = 4(28 cm2/min)/dt.

Step 7: Simplify the equation to get

dP/dt = 112 cm/min.

Conclusion: The rate of change of the perimeter of the square is 112 cm/min when the side length is 6 cm

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Answer: 48.97

Step-by-step explanation:

One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.

The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

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the sample size used to construct this 90% confidence interval for p is approximately 386.

we need to use the given 90% confidence interval for the population proportion p: (0.26, 0.54) and the formula for constructing a confidence interval for a proportion. The formula is:
CI = p-hat ± Z × \(\sqrt{(phat × (1 - p-hat))}\) ÷ n]
where CI is the confidence interval, p-hat is the sample proportion, Z is the Z-score corresponding to the desired confidence level (in this case, 90%), and n is the sample size.
First, find the midpoint of the interval, which is the estimated sample proportion (p-hat):
p-hat = (0.26 + 0.54) ÷ 2 = 0.4
Next, determine the margin of error (half the width of the interval):
Margin of error = (0.54 - 0.26) ÷ 2 = 0.14
For a 90% confidence interval, the Z-score is approximately 1.645. Now we can set up the equation to solve for the sample size n:
0.14 = 1.645 × \(\sqrt{(0.4 × (1 - 0.4)}\) / n]
Square both sides and isolate n:
n = (1.645 × \(\sqrt{0.4 × 0.6} ^{2}\) ÷ \(0.14^{2}\) ≈ 385.35
Since the sample size must be a whole number, round up to the nearest integer:
n ≈ 386

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The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

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Answer:

(15, 15)

Step-by-step explanation:

Dilating by a scale factor of 5 centered at the origin simply multiplies the coordinates of a point by 5 so our answer is (3 · 5, 3 · 5) = (15, 15). Hope this helps!

Answer:

Let's solve your equation step-by-step.

|−x−15|=|5x−23|

Solve Absolute Value.

|−x−15|=|5x−23|

We know either−x−15=5x−23or−x−15=−(5x−23)

−x−15=5x−23(Possibility 1)

−x−15−5x=5x−23−5x(Subtract 5x from both sides)

−6x−15=−23

−6x−15+15=−23+15(Add 15 to both sides)

−6x=−8

−6x

−6

=

−8

−6

(Divide both sides by -6)

x=

4

3

−x−15=−(5x−23)(Possibility 2)

−x−15=−5x+23(Simplify both sides of the equation)

−x−15+5x=−5x+23+5x(Add 5x to both sides)

4x−15=23

4x−15+15=23+15(Add 15 to both sides)

4x=38

4x

4

=

38

4

(Divide both sides by 4)

x=

19

2

Check answers. (Plug them in to make sure they work.)

x=

4

3

(Works in original equation)

x=

19

2

(Works in original equation)

Answer:

x=

4

3

or x=

19

2

Step-by-step explanation:

Answer:

x = 4/3

Step-by-step explanation:

|-x-15 | = | 5x - 23 |

take square root

√-x-15 = √ 5x - 23

than take square

(√-x-15 )² = (√ 5x - 23)²

than,

-x -15 = 5x - 23

-15 = x + 5x - 23  ( add x on both sides )

-15 + 23 = 6x  ( add 23 on both sides )

8 = 6x

8/6 = x   (divide 6 on both sides )

x = 4/3

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50 /100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Of the students in sixth grade:

The number of students who packed their lunch = 3/5

This means,

Out of 5 students, 3 packed their lunch.

We can find the percentage by multiplying 3/5 by 100.

= 3/5 x 100

= 3 x 20

= 60%

Thus,

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

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The percentage of students who pack lunch is 60%.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have of all the students in sixth grade, 3/5 pack their lunch.

Assume that the percentage of students who pack lunch is [x]%. So -

x% = 3/5 x 100 = 60%

Therefore, the percentage of students who pack lunch is 60%.

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The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.

Let's review the data given to us to properly respond to the question:

Weight of a box by itself = 0.3 kg

Weight of a plaque = 3.2 kg

The expression can be used to determine the total weight of the box :

We shall use the following phrase to respond to the query:

Total weight of the box in kg = t

Number of plaques inside the box = p

Hence, the expression t = 0.3 + 3.2p

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The area of the surface obtained by rotating the curve y = 5√x about the x-axis between x = 4 and x = 16 is equal to -516.

To find the area of the surface obtained by rotating the curve y = 5√x about the x-axis, we can use the formula for the surface area of revolution:

S = ∫[a,b] 2πy√(1 + (dy/dx)²) dx

In this case, the curve y = 5√x is being rotated about the x-axis between x = 4 and x = 16.

To calculate the area, we need to find dy/dx, which is the derivative of y with respect to x.

Taking the derivative, we have dy/dx = (5/2)x^(-1/2).

Substituting these values into the formula, we get:

\(S = \int{ [4,16] 2\pi (5\sqrt{x} )\sqrt{(1 + ((5/2)x^{-1/2})^2)} } \, dx\)

Evaluating this integral over the given interval, we find that the area of the surface is -516.

It's worth noting that the negative sign in the answer indicates that the surface is concave down, which is consistent with the shape of the curve being rotated.

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The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.

If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.

The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.

We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:

Q = σA

We can solve for σ to get:

σ = Q/A

Substituting this expression for σ into our equation for qenc, we get:

qenc = σA = (Q/A)A = Q

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Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

320

Step-by-step explanation:

The region graph enclosed by the given functions y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3 can be sketched as follows.

1. Plot the graphs of the given functions:

y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3.

2. Shade the area enclosed the two graphs.

3. The region enclosed by the given functions is shown below.

The region enclosed by the given functions y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3 can be sketched as follows. Firstly, plot the graphs of the two functions on the same coordinate plane. Then, shade the area enclosed by the two graphs. The resulting region is a curved area that starts from the point (-3, 8 cos(-3)) on the left, curves up until it reaches the point (3, 8 cos(3)) on the right and then curves down until it reaches the point (-3, 8 cos(-3)). The enclosed region is a continuous, curved area that lies between the two graphs.

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Answer:

Decimal=0.8667

Percent=86.67%

You are welcome

Answer:

the answer is a

Step-by-step explanation:

Answer:

See below    ( MIGHT choose (-2,+2)  but it is incorrect)

Step-by-step explanation:

DOMAIN is the values of 'x' a function can have  

NONE of the answers are correct

  it should be   (-3,+3)   <=====not an option

Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Step-by-step explanation:

Prove the LHS

Using trigonometric identities

That's

Rewrite the expression

We have

So we have

Using trigonometric identities

Rewrite the expression

That's

Reduce the expression with cos a

We have the final answer as

As proven

Hope this helps you

Find the degree of the equation to determine if linear.

Linear

Answer:

144

Step-by-step explanation:

Answer:

\(\text{C. }98^{\circ}\)

Step-by-step explanation:

Opposite angles in any quadrilateral circumscribed by a circle always add up to 180 degrees.

(Opposite angles in a cyclic quadrilateral are always supplementary).

Thus,

\(82+\angle D=180,\\\angle D=\boxed{\text{C. }98^{\circ}}\)

Explanation

to solve this divide the figure into 3 rectangles, so

Step 1

find the area of the rectangles

the area of a rectangle is given by:

then, find the areas

let

a)Rectangle 1(blue)

length=12

width=4

b)

Rectangle 2

length=12

width=3

c)

Rectangle 3

Length=5

Width=12-4-5=3

Step 2

find the total area

I hope this helps you

Answer: It is correct.

The first step here is to distribute the numbers

4 times 2x is 8x

4 times -5 is -20

Therefore, you're left with 8x-20

I hope this helps!