many frames are being made to hold a number of paintings that all have a width of 18 inches. The wood being used to make the frames is 2 inches wide. If the height of one of the paintings was 24 inches what is the total length in inches of 2 inch wood that would be needed to make the frame?

If a cylinder has a volume of 600 cubic inches, and we want to find the volume of a cone with the same diameter and height as the cylinder, we can use the formula for the volume of a cone.

The formula for the volume of a cone is given as:

\(V = (1/3) * \pi * r^2 * h,\)

where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, since the cylinder and cone have the same diameter, the radius of the cone's base will be half of the radius of the cylinder's base. Let's assume the radius of the cylinder's base is r_cylinder.

So, the radius of the cone's base will be r_cone = r_cylinder / 2.

The height of the cone will be the same as the height of the cylinder, denoted as h_cylinder.

Now, let's substitute these values into the volume formula for the cone:

V_cone = (1/3) * π * (r_cone)^2 * h_cylinder

      = (1/3) * π * (r_cylinder/2)^2 * h_cylinder

      = (1/3) * π * (r_cylinder^2 / 4) * h_cylinder

      = (π/12) * r_cylinder^2 * h_cylinder.

Since we know the volume of the cylinder is 600 cubic inches, which is equal to the volume of the cone, we have:

600 = (π/12) * r_cylinder^2 * h_cylinder.

From this equation, we can't directly calculate the specific values of r_cylinder and h_cylinder. We would need additional information or constraints to solve for them.

However, using the given information, we can conclude that the volume of the cone with the same diameter and height as the cylinder will also be 600 cubic inches, assuming the cylinder and cone share the same dimensions.

To know more about volume visit:

brainly.com/question/28058531

#SPJ11

Answer:

50

Step-by-step explanation:

m3 and m4 are going to be equaivalent due to some law I don't remember the name of.

So, 3x-16 = x+84

(do some rearranging)

2x=100

x=50

The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

For similar question on selling price.

https://brainly.com/question/28189871  

#SPJ11

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

To know more about musical chords, visit,

https://brainly.com/question/14936810

#SPJ4

Answer:

f(4) = 8

f(6) = 10

Step-by-step explanation:

Step 1: Define

f(x) = x + 4

f(4) is x = 4

f(x) = 10

Step 2: Find f(4)

f(4) = 4 + 4

f(4) = 8

Step 3: Find f(x) = 10

10 = x + 4

x = 6

The width of rectangle Y is 8 units.

The width of rectangle Y is obtained applying the proportions in the context of the problem.

The dimensions of rectangle X are given as follows:

Height of 3 units.

Width of 2 units.

The dimensions of rectangle Y are given as follows:

Height of 12 units.

Width of x units.

The height was enlarged by a scale factor of 4, hence the width is given as follows:

2 * 4 = 8 units.

Learn more about rectangle on:

https://brainly.com/question/2607596

#SPJ1

Complete Question

Check attached image

The value of k is -4 from x = 3 and the -12 below 3. The other values are given below:-

1. (-4)(-5)

2. (-4)(-1/2)

3. (-4)(0)

Equation in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the equation of direct proportion y = k x is given by the table. First, calculate the value of k.

y = k x

-12 = k x 3

k = -4

y = k x

y = ( -4 x -5 ) =20

y = kx

y = (-4)(-1/2) = 2

y = kx

y = (-4)(0) = 0

Therefore, the values are 20, 2, and 0 for the equation.

To know more about an equation follow

https://brainly.com/question/26310043

#SPJ2

False, the expected cell frequency is based on the researcher's opinion.

The expected cell frequency is not based on the researcher's opinion. It is calculated based on the sample data and the null hypothesis. The null hypothesis assumes that there is no relationship between the variables being studied. The expected cell frequency is the number of observations that would be expected in a particular cell under the null hypothesis. It is calculated using the row and column totals and the sample size. The expected cell frequency is used to calculate the chi-square statistic in a chi-square test of independence. Therefore, the expected cell frequency is not based on the researcher's opinion, but rather on statistical calculations using the sample data and the null hypothesis.

Learn more about frequency here

https://brainly.com/question/254161

#SPJ11

Answer:

37:39

Step-by-step explanation:

You write the amount of circles then add 37 to 2 and make a ratio table.

Answer: 37:39

Step-by-step explanation: there are 37 circles and there are 39 shapes in all (37 circles plus the two hearts)

Since 3 is not equal to 0, there is no value for B(0) that satisfies the equation. Therefore, the partial fraction decomposition cannot be applied in this case.

The differential equation y'' + 4y = 3H(t-4) represents a forced harmonic oscillator. The general solution to the homogeneous equation y'' + 4y = 0

To find the unique solution of the given differential equation y'' + 4y = 3H(t-4) using Laplace transforms, we'll apply the Laplace transform to both sides of the equation. We'll also use the initial values y(0) = 1 and y'(0) = 0.

Let's denote the Laplace transform of y(t) as Y(s) and the Laplace transform of y'(t) as Y'(s).

Taking the Laplace transform of both sides of the equation, we have:

s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 3e^(-4s)/s

Substituting the initial values y(0) = 1 and

y'(0) = 0, we get:

s^2Y(s) - s(1) - 0 + 4Y(s) = 3e^(-4s)/s

Simplifying, we have:

s^2Y(s) - s + 4Y(s) = 3e^(-4s)/s

Now, let's solve for Y(s):

(s^2 + 4)Y(s) = s + 3e^(-4s)/s

Dividing both sides by (s^2 + 4), we get:

Y(s) = (s + 3e^(-4s)/s) / (s^2 + 4)

Now, we need to find the inverse Laplace transform of Y(s) to obtain the solution y(t). To do this, we'll use partial fraction decomposition.

Let's decompose Y(s) into partial fractions:

Y(s) = A(s) + B(s)

(s + 3e^(-4s)/s) / (s^2 + 4) = A(s) + B(s)

Multiplying both sides by (s^2 + 4), we get:

s + 3e^(-4s)/s = A(s)(s^2 + 4) + B(s)

Now, we can find the values of A(s) and B(s) by comparing the coefficients of like terms on both sides.

From the equation, we have:

s = A(s)(s^2 + 4) + B(s)

Setting s = 0, we find:

0 = A(0)(0^2 + 4) + B(0)

0 = 4A(0)

Since A(0) = 0, we can disregard the first term A(s)(s^2 + 4) in the equation.

Now, we have:

s + 3e^(-4s)/s = B(s)

To find B(s), we can multiply both sides by s and take the limit as s approaches 0:

s^2 + 3e^(-4s) = B(s)s

Taking the limit as s approaches 0:

0 + 3e^(0) = B(0)(0)

3 = 0

Since 3 is not equal to 0, there is no value for B(0) that satisfies the equation.

Therefore, the partial fraction decomposition cannot be applied in this case.

To learn more about  partial fraction

https://brainly.com/question/30401234

#SPJ11

First you will get 4dz

if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7  + i)

The roots of the polynomial function are given as:

-9 and 7 - i

The root is 7 - i is a complex number.

This means that its conjugate must also be a root of the factor.

The conjugate of 7 - i is 7 + i

So, we have:

x = 7 + i

Equate to 0

x - (7  + i) = 0

Hence, the other factor of the function is x - (7  + i)

Read more about polynomial functions at:

https://brainly.com/question/2833285

#SPJ4

Answer:

A on edge 23

Step-by-step explanation:

trust me bro

To find the lateral area of a cone, use this formula:

\(\pi r\sqrt{h^2+r^2}\)

where r is the radius (in this case, 11) and h is the height (in this case, 26)

Try plugging the values in. If you need additional help, feel free to ask!

A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

To learn more about hypothesis : brainly.com/question/30665946

#SPJ11

The given system of equation 2x + 4y = 1, 2x + 4y = 1  is an example of a dependent system of equations.

A dependent system of equations is a system of equations where there are an infinite number of solutions, and the equations share the same solution set.

We have to find the relationship between the given equations to determine whether the system is dependent or independent.In this case, both equations are identical.

2x + 4y = 1 is the same as 2x + 4y = 1.

The equations have the same coefficients and the same constant term, which implies that they are parallel lines and coincide with each other.

Thus, the given system of equation 2x + 4y = 1, 2x + 4y = 1

is an example of a dependent system of equations as they share the same solution set.

To know more about  equations, visit:

https://brainly.com/question/29538993

#SPJ11

Answer:

R

Step-by-step explanation:

Let's rewrite this to the ratio of the amount of cents to the amount of people.

9 cents every 4 people ->  9:4
18 cents for every 8 people ->  18:8

Using the direct proportion : If one quantity increase/decrease an amount, the other one increase/decrease the same amount respectively.


So, we can rewrite 9:4 as 9x2/4x2 (both increase by 2 times) = 18:8

And since 18:8=18:8, these 2 ratios are equivalent.

Hi! Let me help you! :)

Hope it helps!

~Stargazing~

Answer:

-0.6 yards

Step-by-step explanation:

Last week Bob was paid total of $480 for the items that he produced that week and this week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

Let's start with the simplest case:

he produced 36 or less items this week.

In this case he produced less than 36 items last week too.

So he was paid the same amount of dollar per item. Using assumptions (1) and (2), we have:

$480 + 2X = $510

⇒2X=510-480$

⇒2X=$30

⇒2X=$30/2

⇒X=$15

He was paid $15 per item.

Last week he received his $480.

480/15= 32 items.

This week he received his $510.

510/15=34 items. Other cases have no solution.

seems your question is incomplete., but most probably the complete question was

If Bob produces 36 or fewer items in a week, he is paid X dollars per item. If Bob produces more than 36 items in a week, he is paid X dollars per item for the first 36 items and 3/2 times that amount for each additional item. How many items did Bob produce last week?(1) Last week Bob was paid total of $480 for the items that he produced that week.(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

learn more about total earning: https://brainly.com/question/20818395

#SPJ4

Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.

calculation

urms=  \(\sqrt{\frac{3RT}{M} }\)

and

λ=h/murms

⟹urms=h/mλ⟹

 \(\sqrt{\frac{3RT}{M} }\)=h/mλ

72.2 = 148.17 / M

M = 148.17/72 ≈ 2

Consequently, M = 2 and the gas's molar mass is 2  kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.

To know more about wavelength visit :-

https://brainly.com/question/13533093

#SPJ4

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

The required negative value of variable x when y = 8/9 is -10.5. To understand the calculations, check below.

Important information:

Using the given inverse proportional statement, we get

\(y\propto \dfrac{1}{x^2}\)

\(y=\dfrac{k}{x^2}\)     ...(i)

Substitute \(x=3.5,y=8\).

\(8=\dfrac{k}{3.5^2}\)

\(8=\dfrac{k}{12.25}\)

\(8\times 12.25=k\)

\(98=k\)

Substitute \(k=98\) in (i).

\(y=\dfrac{98}{x^2}\)

Substitute \(y=\dfrac{8}{9}\).

\(\dfrac{8}{9}=\dfrac{98}{x^2}\)

\(x^2=98\times \dfrac{9}{8}\)

\(x^2=110.25\)

\(x=\pm \sqrt{110.25}\)

\(x=\pm 10.5\)

We need only negative value.

\(x=-10.5\)

Therefore, the required value of variable x is -10.5.

Find out more about 'Proportion' here:

https://brainly.com/question/15179946

We can calculate the probability that the sample mean would be less than 118.8 months by standardizing the sample mean using the z-score and consulting the standard normal distribution.

To calculate the z-score, we need to calculate the standard deviation of the sampling distribution of the sample mean, also known as the standard error. The standard error is the square root of the variance divided by the square root of the sample size. In this case, the variance is 256, and the sample size is 95, so the standard error is √(256/95) ≈ 2.693.

Next, we calculate the z-score using the formula z = (x - μ) / σ, where x is the desired value (118.8 months), μ is the population mean (121 months), and σ is the standard error (2.693). Plugging in the values, we get z = (118.8 - 121) / 2.693 ≈ -1.013.

Finally, we find the probability that the sample mean is less than 118.8 months by looking up the z-score in the standard normal distribution table or using statistical software. From the table or software, we find that the probability corresponding to a z-score of -1.013 is approximately 0.1562.

Therefore, the probability that the sample mean would be less than 118.8 months is approximately 0.1562 or 15.62%.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

If Bill does not really know if the concept will be viable, so he develops a limited menu and has friends and family fill out a questionnaire to gather information. Bill is using creation in action.

What is questionnaire?

A questionnaire is a type of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a set of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Although statistical analysis of the replies is frequently the goal of questionnaire design, this is not always the case.

To learn more about questionnaire visit;

https://brainly.com/question/22889092

#SPJ4

Answer:

Step-by-step explanation:

6y - y = y(6 - 1) = y * 5

The answer is 5y.

Answer: The answer would be D, The number of dances paco's daughter plans to perform.

Step-by-step explanation:

An upper bound on the error that can result from approximating cos(x) by 1−(x^2/2!) + (x^4/4!) over the interval [-0.7, 0.7] is 0.00567.

The Taylor series expansion for cos(x) is given by cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ... . The approximation 1−(x^2/2!) + (x^4/4!) is a truncated version of this series. The error between the actual value of cos(x) and the approximation can be estimated using the Lagrange form of the remainder term, which gives an upper bound on the error.

In this case, the Lagrange remainder term is given by Rn(x) = (f^(n+1)(c)/n+1!) * (x-x0)^(n+1), where f^(n+1)(c) is the (n+1)th derivative of cos(x) evaluated at some point c in the interval [-0.7, 0.7].

The maximum value of Rn(x) over the interval [-0.7, 0.7] occurs when x = ±0.7, and the upper bound on the error is found by evaluating Rn(±0.7).

The resulting upper bound is approximately 0.00567.

For more questions like Error click the link below:

https://brainly.com/question/19575648

#SPJ11