24 karat gold is 100% gold. How pure is 8 karat gold?

The mean should be used when the data is symmetric.

Answer:

Answer : Length(l) = 32 cm

Step-by-step explanation:

Given,

          Perimeter(P)=96 cm

          Length(l)=?

We know that,

                        P      = 3l

                        96    = 3l

                        96÷3 = l

                         32    = l

Therefore, length(l) = 32 cm

Answer:

160

Step-by-step explanation:

Answer:

$50

Step-by-step explanation:

Price of the cell phone bought p = $40

% of markup in price = 25%

Selling price of the cell phone = p + (%)p

Selling price of the cell phone = P + (0.25)p

Selling price of the cell phone = p + 0.25p

Selling price of the cell phone = 1.25p

Selling price of the cell phone = 1.25 * $40

Selling price of the cell phone = $50

Answer:

Hello! answer: 96

Step-by-step explanation:

8 × 3 = 24 24 ÷ 2 = 12

5 × 4 = 20

8 × 8 = 64

12 + 20 + 64 = 96

Hope that helps!

The key point in the equation log base 13 X = Y is that it represents the logarithmic relationship between the base 13 logarithm of X and the variable Y. The asymptote in this equation is the line Y = 0, which represents the limit or boundary as Y approaches negative or positive infinity.

To find the key point, we need to rearrange the equation to isolate X. Taking the exponentiation of both sides with base 13, we get X = 13^Y. This means that for any given value of Y, X is equal to 13 raised to the power of Y.

To find the asymptote, we can consider the behavior of the equation as Y approaches negative or positive infinity.

As Y approaches negative infinity, the value of X will approach zero, since 13 raised to a very large negative power becomes very small.

As Y approaches positive infinity, the value of X will increase without bound, as 13 raised to a very large positive power becomes very large.

In summary, the key point in the equation log base 13 X = Y is that X is equal to 13 raised to the power of Y. The asymptote is the line Y = 0, representing the limit or boundary as Y approaches negative or positive infinity.

for such more questions on logarithmic

https://brainly.com/question/30193034

#SPJ8

The value of x from the triangle inscribed in the circle which is the unknown angle is 22°

For a given triangle inscribed in a circle, it should be noted that the angle that is inscribed along the diameter of the circle will be regarded as the right angle.

This means that the angle facing the diameter line (C), i.e angle c is 90 degrees. We all know that the sum of angles in a triangle is 180 degrees. Therefore, to find the third unknown angle x, we have:

x  + 68° + 90° = 180°

x + 158° = 180°

x = 180° - 158°

x = 22°

Therefore, we can conclude that the value of x which is the unknown angle is 22°

Learn more about semicircle theorems here:

https://brainly.com/question/3538263

#SPJ1

Answer:

AB = 25

Step-by-step explanation:

First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = \(5\sqrt5\), this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle \(\sqrt5\) times larger than the corresponding side on the small triangle. That means AB is \(\sqrt5\) times larger than BC as well. So multiply BC by \(\sqrt5\) get us the answer.

Answer:

The answer after division is: \(2\frac{2}{5}\)

Step-by-step explanation:

The given question involves two mixed fractions that are being divided.

\(7\frac{1}{2}\div 3\frac{1}{8}\)

First of all, we will convert the fractions into proper fractions

\(\frac{15}{2}\div \frac{25}{8}\)

When the division is performed, the second fraction is reversed

So dividing gives us:

\(\frac{15}{2} * \frac{8}{25}\\= \frac{3*4}{5}\\=\frac{12}{5} = 2\frac{2}{5}\)

Hence,

The answer after division is: \(2\frac{2}{5}\)

Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

When using statistics in a speech, you should usually cite exact numbers rather than rounding off. The correct option among the following statement is: b. cite exact numbers rather than rounding off. When citing the statistics, you should cite exact numbers rather than rounding off.

Statistics is the practice or science of gathering, analyzing, interpreting, and presenting data. It is a mathematical science that examines, identifies, and explains quantitative data. In many areas of science, business, and government, statistics play a significant role. The information collected from statistics is used to make better choices based on data that may be trustworthy, precise, and valid.The Role of Statistics in a Speech Statistics is an important tool for speakers to use in a presentation. They can be used to make the speaker's point clear and to convey his or her message. To be effective, statistics should be used correctly and ethically.

The following guidelines should be followed when using statistics in a speech: State your sources. It is important to let the audience know where the statistics came from. You should cite your sources and explain why you used them. If you gathered the data yourself, explain how you did it.Make sure your statistics are accurate. Check the numbers to ensure that they are accurate. If possible, use data from a reliable source. When using numbers, be specific. Don't round them off or use approximations.Don't use too many statistics. Too many statistics can be difficult to understand. Use statistics that are relevant to your topic. Use examples to help your audience better understand the statistics.

To know more about statistics visit:

https://brainly.com/question/31538429

#SPJ11

Proper usage of statistics in a speech should include citing exact numbers, not overloading with too many stats, making clear the source, keeping a steady speaking rate, and not manipulating data to suit the argument. Providing anecdotal examples can also help audience better understand the statistical facts.

When using statistics in a speech, the best practices include citing exact numbers rather than rounding off, ensuring not to overload the speech with too many statistics, and being transparent about the source of the statistics. It's not ethical or professional to manipulate statistics to make your point. Instead, present them honestly to build trust with your audience. It's also important to keep the pacing of your speech consistent and not rush when presenting statistics.

In explaining a complex idea like a statistical result, providing an anecdotal example can be effective. This brings the statistic to life and makes it more relatable for the audience. However, when a source is cited, or a direct quotation is being employed, it's best to adhere to a recognized citation style like APA to maintain a professional standard.

Remember, the key to using statistics effectively in your speech is to portray them honestly, ensure they support your argument, and presented in a way that your audience can easily understand.

https://brainly.com/question/32807955

#SPJ11

We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

To learn more about equations, refer below:

https://brainly.com/question/14686792

#SPJ11

Answer:

B. x =  -3 or x = 2

Step-by-step explanation:

It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,

when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.

In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.

In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.

To know more about  model visit

https://brainly.com/question/32196451

#SPJ11

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

Answer:

31/32 or 0.96875

Step-by-step explanation:

first you muliply 5/8 by 3/4 then the answer add it to 1/2

A round plane figure whose boundary ( circumference) consists of the points equidistant from a fixed point (the center). In the above question Pedro was wrong.

All the points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in plane draws to keep its distance from a specific point constant.

The tactic Pedro frequently used is ineffective since applying strict transformation to one figure and then onto another will only demonstrate whether the figures are congruent, not whether they are comparable.

Keep in mind that resemblance, as opposed to congruence, is about the proportionality between the dimensions of those figures. Therefore, when we overlay the figures, they won't match.

Pedro should divide each set of matching coordinates to demonstrate similarity; if all divisions provide the same outcome, the figures are said to be comparable.

Therefore, Pedro was not wrong.

To know more about circle visit: https://brainly.com/question/11833983

#SPJ13

1. Identify the curve and the point: The curve is y = sec(x), and the point is (π/6, 2√3/3).

2. Calculate the derivative of the curve: The derivative of y = sec(x) is y' = sec(x)tan(x).

3. Evaluate the derivative at the given point: At x = π/6, we have y' = sec(π/6)tan(π/6). Since sec(π/6) = 2 and tan(π/6) = √3/3, we get y' = 2(√3/3) = 2√3/3.(4). Use the point-slope form of the line equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope (derivative).

5. Plug in the values: y - (2√3/3) = (2√3/3)(x - π/6). This is the equation of the tangent line to the curve y = sec(x) at the point (π/6, 2√3/3).

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Answer:

A. 15.2%

Step-by-step explanation:

Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

\(1.65-1.40=0.25\)

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.

\(0.25/1.65=0.152\)

And then move the decimal place over two spots (multiply by 100)

15.2

Percent decrease in the price of the bottle of water is 15.2% (Approx.)

Older price of bottle = $1.65

New price of bottle = $1.40

Percent decrease in the price of the bottle of water

Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = 15.2% (Approx.)

https://brainly.com/question/10156335?referrer=searchResults

Expanded form is extracting the numbers from its standard form and setting it apart as individual numbers according to position then multiplying it -the numbers of zeros increase

Example:

110 x 10500

100 + 10 x 10000 + 500 =  1155000

Place value is arranging it according to the highest number place value to lowest

like,

10

* 5

-----

50

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

The likelihood that an event will occur or that a proposition is true is determined by a field of mathematics known as probability theory. An event's probability is expressed as a number between 0 and 1, where 1 indicates certainty and roughly 0 indicates how likely it is that the event will occur. A probability is a numerical expression of the likelihood or potentiality of a given event. Probabilities can alternatively be stated as integers between 0 and 1, percentages between 0% and 100%, or as percentages between 0% and 100%. the fraction of times that all equally probable alternatives occur compared to all potential outcomes.

The probability model includes 6 possible outcomes, and each one has an exact chance of 0.167, or 1/6. List all potential pairs of fruit bars that demonstrate this:

berries and apples

cherries and apples

Apple and pears, berries and cherries, pears and apples

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

so what is the question ??

Step-by-step explanation:

Answer:

a)0.11

b) 3.75

Step-by-step explanation:

a) take 4 away from 15

B) do 15 divided by 4

hope this helps bye if right mark brainlest PLEASE

Step-by-step explanation:

that is the correct answer above

Answer:

So correct option is D)

Hope it helps you:)

EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

The series of transformations that correctly maps rectangle ABCE to LMNO is: Translate rectangle ABCD right 9 units, then dilate the result by a scale factor of 3 centered at the origin.

Transformation is the processes required to change the orientation or size of a given object to produce its image. The methods of transformation are: rotation, dilation, reflection and translation.

i. Rotation requires turning a given object about a required angle in a specific direction.

ii. Dilation is a process which involves reducing or increasing the dimensions of the object by a factor.

iii. Reflection implies turning a given object about a reference point or line.

iv. Translation involves moving the object in a specific direction a number of units.

Considering the rectangle ABCD and its image LMNO, the series of transformation that will produce rectangle LMNO is: Translate rectangle ABCD right 9 units, then dilate the result by a scale factor of 3 centered at the origin.

Learn more about transformation at https://brainly.com/question/4289712

#SPJ1