Help me with this!! Pleasee and thanks

the height of the cylinder is h = (7/2)^(1/3) and the radius is r = y = (7/8)h.

To solve this problem, we can use the method of Lagrange multipliers.

Let's denote the height and radius of the cylinder by h and r, respectively. Then, the volume of the cylinder can be expressed as V = πr^2h.

We need to maximize V subject to the constraint that the cylinder is inscribed in the cone. The equation of the cone is given by x^2 + y^2 = (7/8)^2z^2, where (x,y,z) are the coordinates of a point on the cone. Since the cylinder is inscribed in the cone, its base will lie on the base of the cone, and its height will be equal to the height of the cone.

Using these constraints, we can write the Lagrangian as:

L = πr^2h + λ[(7/8)^2z^2 - x^2 - y^2]

Taking partial derivatives of L with respect to r, h, x, y, and λ, and setting them equal to zero, we get the following equations:

2πrh + λ(-2x) = 0
πr^2 + λ(-2y) = 0
λ(7/4)z = 0
x^2 + y^2 = (7/8)^2z^2
(x/8)^2 + (y/8)^2 = z^2 - h^2

The first two equations give us r/h = x/2y, and r = y. Substituting these into the third equation, we get λ = -4h^3/49.

Substituting all of these into the last equation, we get:

(x/8)^2 + (y/8)^2 = (49/64)h^2

We want to maximize the volume of the cylinder, which is given by V = πr^2h = πy^2h. Substituting r = y and λ = -4h^3/49 into this equation, we get:

V = -8πh^4/49

Thus, the volume of the cylinder is maximized when h = (7/2)^(1/3) and r = y = (7/8)h.

Therefore, the height of the cylinder is h = (7/2)^(1/3) and the radius is r = y = (7/8)h.
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Solution :

a). \($P(0)$\) is true

Then ,\($P(0+2)=P(2)$\) is true.

         \($P(2+2)=P(4)$\) is true

          \($P(4+2)=P(6)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the even integers : \($\{0, 2,4,6,...\}$\)

b). \($P(0)$\) is true

Then ,\($P(0+3)=P(3)$\) is true.

         \($P(3+3)=P(6)$\) is true

          \($P(6+3)=P(9)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the multiples of 3 : \($\{0, 3,6,9,12,...\}$\)

c). \($P(0)$\) and \($P(1)$\) is true, then \($P(0+2)=P(2)$\) is true

\($P(1)$\) and \($P(2)$\) is true, then \($P(1+2)=P(3)$\) is true.

\($P(2)$\) and \($P(3)$\) is true, then \($P(2+2)=P(4)$\) is true.

So, we observe that  \($P(n)$\) is true for all the non- negative integers : \($\{0, 1,2,3,4,5,6,...\}$\).

d). \($P(0)$\) is true,

   So, \($P(0+2)$\) and \($P(0+3)$\) is true or \($P(2)$\) and \($P(3)$\) is true.

   Now,   \($P(2)$\) is true.

Again, \($P(2+2)$\) and \($P(2+3)$\) is true or \($P(4)$\) and \($P(5)$\) is true.

   Now, \($P(3)$\) is true.

Again, \($P(3+2)$\) and \($P(3+3)$\) is true or \($P(5)$\) and \($P(6)$\) is true.

Thus,

\($P(n)$\) is true for all the non- negative integers except 1 : \($\{0, 2,3,4,5,6,...\}$\).

Answer:

\(m = \frac{9 - 4}{3 - 9} = - \frac{5}{6} \)

Answer:

B and D

Step-by-step explanation:

40/1000 is equal to 4/100 which is 4% ._. not correct

50/33 is equal to 1 17/33 which like 1.5151515151515...

1/3 is equal to 33.3333333333%

or 0.33333333333333....

Answer:

4+1/3x6=6 remember to use PEMDAS  so 1/3x6 would be less than the total of 6 or higher. this is because 1/3 is smaller than 1. 1/3x6=2  1/3 of 6 is 2. see the pattern?   now we add 4 to 2 to get 6

hope this helped plz let me know if i am wrong if i am right plz give brainliest

Step-by-step explanation:i answered first

How do you write "4 more than one third of a number n is 6" as an equation and how do you solve it?

To write an expression as an equation, you have to first break it down.

4 more is written as plus 4, or +4. One third of a number n is written as \(\frac{1}{3}\times n\) , which is also n being divided by 3, or \(\frac{n}{3}\). is 6 is equal to \(=6\). To write that as an equation, you just have to combine all the numbers/phrases.

\(\frac{n}{3} +4=6\ \text{or}\ \frac{1}{3}n+4=6\)

To solve the equation, you need to first leave the variable alone.

\(\frac{n}{3} +4=6\)

To leave the variable n alone, you need to remove the 4 by doing the opposite of it, which is subtracting 4. Subtract 4 on both sides:

\(\frac{n}{3}+4-4=6-4\)

\(\frac{n}{3}=2\)

Remember you're looking for n alone. In the equation, n is being divided by 3. To make it 1n, or n, you need to do the opposite of dividing by 3, which is multiplying by 3. Multiply both sides by 3:

\(\frac{n}{3} \times 3=2 \times 3\)

\(n=6\)

Equation: \(\bf\frac{n}{3} +4=6\ \text{or}\ \frac{1}{3}n+4=6\)

Value of n: \(\bf n=6\)

The number of kilograms over the limit is D. 3.72kg.

From the information, Shawn and Rhonda are going camping and can only pack a total of 22 kg of equipment. Shawn brought 8927 g of equipment and Rhonda brought 16793 g of equipment.

Therefore, the amount of equipment bought will be:

= 8927g + 16793g

= 25720g

= 25.72kg

The difference will be:

= 25.72kg - 22kg

= 3.72kg

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer: (7, 0)

Step-by-step explanation:

We have the system of equations:

9*x - y = 63

x = y + 7

We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:

9*x - y = 63

9*(y + 7) - y = 63

Now we have an equation that only depends on one variable, so we can solve it:

9*y + 63 - y = 63

8*y + 63 = 63

8*y = 63 - 63 = 0

y = 0/8 = 0.

Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:

x = y + 7 = 0 + 7 = 7

Then the point that is a solution for the system of equations is (7, 0)

1. (a) 50% of the data set is greater than 16.

(b) 68.26% of the data set falls between 10 and 22.

(c) 2.28% of the data set is greater than 28.

(d) 0.62% of the data set is less than 1.

(e) 66.87% of the data set falls between 4 and 19.

(f) 15.25% of the data set falls between 22 and 31.

2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.

(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:

Z = (X - μ) / σ

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

X = 16, μ = 16, and σ = 6.

Z = (16 - 16) / 6 = 0

The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:

1 - 0.5000 = 0.5000

Therefore, 50% of the data set is greater than 16.

(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.

Z₁ = (10 - 16) / 6 = -1.00

Z₂ = (22 - 16) / 6 = 1.00

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.8413 - 0.1587 = 0.6826

Therefore, 68.26% of the data set falls between 10 and 22.

(c) To find the percent of the data set that is greater than 28

Z = (28 - 16) / 6 = 2.00

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:

1 - 0.9772 = 0.0228

Therefore, 2.28% of the data set is greater than 28.

(d) To find the percent of the data set that is less than 1

Z = (1 - 16) / 6 = -2.50

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.

(e) To find the percent of the data set that falls between 4 and 19

Z₁ = (4 - 16) / 6 = -2.00

Z₂ = (19 - 16) / 6 = 0.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:

0.6915 - 0.0228 = 0.6687

Therefore, 66.87% of the data set falls between 4 and 19.

(f) To find the percent of the data set that falls between 22 and 31

Z₁ = (22 - 16) / 6 = 1.00

Z₂ = (31 - 16) / 6 = 2.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:

0.9938 - 0.8413 = 0.1525

Therefore, 15.25% of the data set falls between 22 and 31.

2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.

Z₁ = (5.2 - 6.4) / 0.8 = -1.5

Z₂ = (7.6 - 6.4) / 0.8 = 1.5

The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.9332 - 0.0668 = 0.8664

This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.

To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:

0.8664 * 128 = 110.87

Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.

To calculate this, we can convert the weight of 58 ounces to a Z-score:

Z = (58 - 64) / 3 = -2

Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.

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Answer:

x=4

Step-by-step explanation:

6(x+8)-30+7=49

6x+48-30+7=49

6x=49-48+30-7

6x=1+23

6x=24

x=\(\frac{24}{6}\)

x=4

Step-by-step explanation:

Para resolver esto yo use una app llamada m a t h w a y

(sin los espacios) esta puede estar en varios idiomas, aunque esto se modifica segun el idioma en donde la uses.

6(x+8) -30+7 = 49                           1. Simplifica 6(x+8) -30+7

6x+25 = 49                                     2. Mueve todos los términos que no

                                                   contengan x al lado derecho de la ecuación

6x = 24                                           (25 pasa restando por lo cual sería, 49-25

                                                       que es igual a 24.)

                                                       3. Divide cada término por 6 y simplifica.

x = 4

Espero esto haya ayudado!

Billy's health score go down  by 75% if his sugar resources are quadrupled

Let the amount of sugar in Billy's kitchen be denoted by S and the number of cookies he can bake be denoted by C. Let his health score be denoted by H. Then we have the following relationships:

C ∝ S (directly proportional)

C ∝ 1/H (inversely proportional)

Combining these two relationships, we get:

C ∝ S/H

If S is quadrupled, then C will also quadruple according to the first relationship. However, H will decrease by some percentage x according to the second relationship. To find x, we can use the fact that C is proportional to S/H:

C = k*S/H

where k is a constant of proportionality. If S is quadrupled, then C will also quadruple, so we have:

4C = k4S/H

C = kS/(H/4)

This tells us that if S is quadrupled, then C will be divided by H/4. In other words, C/H will be divided by 4. So, the percentage decrease in H can be found as follows:

C/H → (C/H)/4 = (S/H)/(4/k) → x = 100%*(1 - 1/4) = 75%

Therefore, if Billy's sugar resources are quadrupled, his health score will go down by 75%.

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Answer:

(×6.2)2+(y-5.8)2= 16+81

Step-by-step explanation:

Circle has center (-6.2, 5.8)

r= 4/9

Then simplify the equation.

h,k is the center of the circle

R = Radius

Hope this helps.

there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°

Answer:

the answer is 62

Step-by-step explanation:

let me guess your teachers have lanschool air?

Answer:

2+4=6

20+40=60

200+400=600

2,000+4,000=6,000

Step-by-step explanation:

Answer:

A.9x – 13.2

Step-by-step explanation:

2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2

Answer:

It is A

Step-by-step explanation:

Answer:  A.  85

Step-by-step explanation:

To set up an equation to solve for x you need to know:

The to 2 interior (inside) angles,  opposite of the exterior,  added together is equal to the exterior (outside) angle.

2x + 3 + 5x - 2 = 8x - 11

7x + 1 = 8x - 11

x = 12

Plug x back into the exterior angle outside angle

8(12)-11

96-11

85

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer: 10

Step-by-step explanation:

Because Lauren gave 1/6 of the stamps to Brianna, we divide 12 by 6 to get 1/6 of 12.

12/6=2

The question asks how many stamps Lauren kept for herself, so subtract 2 from 12.

12-2=10

Lauren kept 10 stamps for herself.

The constant ratio in each representation include the following: r = 3.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio in each representation as follows;

Common ratio, r = a₂/a₁

Common ratio, r = -6/-2 = -18/-6

Common ratio, r = 3.

Based on comparison with the exponential equation, the common ratio is given by;

Common ratio, r = 3.

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The value of the given expression 3(p-2) for x=1 is -3.

C) The given expression is 3(p-2).

Here, using distributive property A(B+C)=AB+AC, we get

3p-6

Substitute p=1 in 3p-6, we get

= 3(1)-6

= 3-6

= -3

D) The given expression is 3(2-p)

Here, using distributive property A(B+C)=AB+AC, we get

6-3p

Substitute p=1 in 6-3p, we get

= 6-3(1)

= 6-3

= 3

Therefore, the value of the given expression 3(p-2) for x=1 is -3.

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Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2

Answer:

Ann = 67 stickers

Josh = 60 stickers

Claire = 30 sickers

Answer:

\(Height = 40\)

Step-by-step explanation:

Given

Shape: Triangle

\(Area = 10cm^2\)

\(Base = \frac{1}{2}cm\)

Required

Determine the height

Area of a triangle is calculated as:

\(Area = \frac{1}{2} * Base * Height\)

Substitute values for Area and Base

\(10= \frac{1}{2} * \frac{1}{2}* Height\)

\(10= \frac{1}{4}* Height\)

Multiply both sides by 4

\(4 * 10= 4 * \frac{1}{4}* Height\)

\(4 * 10= Height\)

\(40= Height\)

\(Height = 40\)

Hence, the height is 40cm

The probability that the largest of n random samples is greater than the population median M is bounded above by\(1 - F(M)^(n-1) \times F(X(n))\).

Assumptions about the population and the sampling method.

Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.

Let \(X1, X2, ..., Xn\) be the random samples that we take from the population, where n is the sample size.

Let M be the population median.

The probability that the largest of these random samples, denoted by X(n), is greater than M.

Cumulative distribution function (CDF) of the population distribution to calculate this probability.

The CDF gives the probability that a random variable takes on a value less than or equal to a given number.

Let F(x) be the CDF of the population distribution.

Then, the probability that X(n) is greater than M is:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:

\(P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)\)

For any x <= M, we have:

\(P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n\)

Therefore,

\(P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n\)

Using the complement rule and the fact that the samples are identically distributed, we get:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

= \(1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)\)

=\(1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)]\)

\(< = 1 - F(M)^(n-1) \times F(X(n))\)

Probability depends on the sample size n and the distribution of the population.

If the population is symmetric around its median, the probability is 0.5 for any sample size.

As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.

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Answer:

Step-by-step explanation:

3444

Answer:

10 1/10 or 101/10

Step-by-step explanation:

1 3/5=8/5

8 1/2=17/2

1 3/5+8 1/2

=8/5 + 17/2

=8x2/5x2 +17x5/2x5

=16/10 + 85/10

=101/10

=10 1/10

Answer:

Step-by-step explanation:

1 3/5+ 8 1/2 as a fraction or just the sum.

1 3/5 + 8 1/2 =

8/5 + 17/2 =

101/10

or

10.1