A cylinder has radius 4 inches and height 5 inches. A cone has the same radius and height.
Round Volume answers to the nearest hundredth
Cylinder
I
15
Find the volume of the cylinder. V=
Cone
B
Find the volume of the cone. V=

The simplified expression is 6x² - 16x + 11.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given expression is - 4x + 11 - 2x² + 8x² - 12x.

We first group the terms based on their power of x, like terms together.

The x² terms are 8x² and -2x². These two terms can be combined to give 6x².

The x terms are -4x and -12x. These two terms can be combined to give -16x.

The constant term is 11.

Group 1: 8x², -2x²

Group 2: -4x, -12x

Group 3: 11

Therefore, the simplified expression is 6x² - 16x + 11.

To learn more about the quadratic equation visit:

brainly.com/question/28038123

#SPJ1

Answer:

y= 2 (x - -5/2)^2-39/2 ?

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

To learn more about derivatives visit:

https://brainly.com/question/12047216

#SPJ4

The probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

To find the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18%, we need to use the normal distribution and the standard normal table. A standard normal table or a z-table is a table that contains the area to the left of z-score on its left tail (to the left of the mean) and represents the normal distribution.

For instance, the area between z=0 and z=1.5 is 0.4332. It shows how likely an event is to occur. The formula to calculate the sample proportion is: sample proportion = (number of favorable outcomes) / (total number of possible outcomes) We can write this as: p = X / N where, p = sample proportion X = number of favorable outcomes N = total number of possible outcomes Now, let's calculate the sample proportion of orange candies: Sample proportion = (number of orange candies) / (total number of candies)= 80 / 500= 0.16 (rounded to two decimal places)

Next, let's calculate the standard deviation of the sample proportion: Standard deviation of sample proportion = √ [ ( p × q ) / n ]where, p = sample proportion  q = 1 - p (probability of failure)n = sample size In this case, p = 0.16q = 0.84n = 500Standard deviation of sample proportion = √ [ ( 0.16 × 0.84 ) / 500 ]= 0.024 (rounded to three decimal places) Now, let's calculate the z-scores for 16% and 18%:z1 = (x1 - μ) / σz1 = (0.16 - 0.20) / 0.024z1 = -1.67 (rounded to two decimal places)z2 = (x2 - μ) / σz2 = (0.18 - 0.20) / 0.024z2 = -0.83 (rounded to two decimal places) Finally, let's look up the areas for these z-scores in the standard normal table:  Area to the left of z1 = 0.0475Area to the left of z2 = 0.2023.

Therefore, the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

To learn more about probability here:

brainly.com/question/32004014#

#SPJ11

Answer:the first one is x=2 y=3

Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16

Answer: (8,0)

x=8 & y=0

Step-by-step explanation:

1. Solve for y for the first equation which will give you y = 4 - 1/2x

2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8

3. Slove for x which will give be 8

3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0

If Jenise wants to find out if the students at her school would support using money to buy new band uniforms, the survey that will result in a random sample is D. She picks 75 names at random, sends emails, and records those that return.

A random sample is a sample that gives each unit in the population an equal chance of participation or being selected.

A random sample involves selecting a subset of the population.  The result of the sample survey is generalized on the population to each some conclusions about the population parameters.

Thus, the correct option is D because it involves a random selection.

Learn more about random samples at https://brainly.com/question/24466382.

#SPJ1

Answer: least square root if 7, 2.8, pi,

sqaure root of 17, 4.6

Step-by-step explanation:

Answer:

The value of x is 1

Step-by-step explanation:

Let us solve the question

∵ Δ PQR ≈ Δ FGH

→ From similarity, then their corresponding sides have an equal ratio

∴ \(\frac{PQ}{FG}\) = \(\frac{QR}{GH}\) = \(\frac{PR}{FH}\)

∵ PQ = 3, QR = x + 3, PR = 2

∵ FG = 6, GH = 6x + 2, FH = 4

→ Substitute them in the ratios above

∴ \(\frac{3}{6}\) = \(\frac{x+3}{6x+2}\) = \(\frac{2}{4}\)

→ By using cross multiplication between the first two ratios

∵ 3 × (6x + 2) = 6 × (x + 3)

∴ 3(6x + 2) = 6(x + 3)

∴ 3(6x) + 3(2) = 6(x) + 6(3)

∴ 18x + 6 = 6x + 18

→ Subtract 6x from both sides

∵ 18x - 6x + 6 = 6x - 6x + 18

∴ 12x + 6 = 18

→ Subtract 6 from both sides

∵ 12x + 6 - 6 = 18 - 6

∴ 12x = 12

→ Divide both sides by 12

∴ x = 1

Answer:

a) 2 galones y 1500 litros

Step-by-step explanation:

La fórmula para el área de la superficie lateral de una pirámide hexagonal regular =

A = 3a × √ (h² + 3a² / 4)

Donde a = longitud lateral o borde de la base de la pirámide hexagonal = 10 cm

h = altura de la pirámide hexagonal = 30cm.

Resolviendo para 1 molde

A = 3 × 10 × √ (30² + 3 × 10² / 4)

A = 936,7497 cm²

Esto significa que Fabricio tiene que cubrir 936.7497cm² de 1 molde con barniz.

En la pregunta se nos dice que:

1 galón de barniz rinde o cubre 45m²

Por lo tanto, convertimos el área de la superficie de 1 molde a m²

1 cm² = 0,0001m²

936.7497cm² =

936.7497cm² × 0.0001m² / 1 cm²

= 0.09367497m²

Por tanto, si

45m² = 1 galón de barniz

0.09367497m² = x galón

x galón = 0.09367497m² / 45 m²

= 0.002081666 galones

Esto significa que 0,002081666 galones barnizarán 1 molde.

Recuerda, en la pregunta, nos dicen que Fabricio está barnizando 1000 moldes

Si. 1 molde = 0.002081666 galón de barniz

1000 moldes

1000 × 0,002081666

= 2.081666 galones de barniz

Aproximadamente = 2 galones de barniz.

De ahí la capacidad en litros de cada molde = 1500 litros.

Answer: y = $50x + $25

Step-by-step explanation:

      First, let x be equal to the hours of service and y be the total cost. Since the cost is 50 dollars per hour of service, we will write this as "y = 50x" for our equation.

      Next, there is a 25-dollar charge for each call. We will add this to our equation as "y = 50x + 25."

Our equation is;

      y = $50x + $25

Answer:

Step-by-step explanation:

A:B:C = 2:3:5

and B = 4.20

which 3x = 4.20

x = 1.4

A = 2 x 1.4

  = 2.8

C = 5 x 1.4

  = 7

A = 1.4, C = 7

Answer:

50

Step-by-step explanation:

Triangle=180 degrees

96+34=130

180-130= 50

50 degrees is the third angle

Answer:

a. 5(x + y)

c. 5x + 5y

Step-by-step explanation:

The area = length * width.

All three parts of the given problem regarding trails, paths and walks have been solved below.

A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.

The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4

there can be 44 ways

so,

number of paths from a to c = 4

number of trails from a to c = 4+3!(4)= 28

number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44

Learn more about Trails on

https://brainly.com/question/29097876?referrer=searchResults

#SPJ4

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

y+5

Step-by-step explanation:

Answer:

y + 5

Step-by-step explanation:

Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

In the context of this problem, the parameters are given as follows:

n = 7, p = 0.64.

The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740\)

A similar problem, also involving the binomial distribution, is given at https://brainly.com/question/24863377

#SPJ1

Answer: -2, 2

Step-by-step explanation:

The derivative of a function, f(x), at a point where f(x) has a sharp turn (or cusp) does not exist.

The derivative of a function, f(x), at a point where f(x) has a vertical tangent line does not exist.

Using this information, we can see that f(x) is not differentiable when x=3 since there is a vertical tangent line. We can also see that f(x) is not differentiable when x=-1 since there is a cusp.

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

For more such questions on percentage , Visit:

https://brainly.com/question/30744872

#SPJ11

To solve this problem, we need to find the z-scores of both heights and use a z-score table to find the probabilities.

Given that the mean height of the members of the chess club is 5'6" with a standard deviation of 2". Thus, the distribution can be represented as N(5'6", 2). Firstly, we need to convert the height of the players in inches.

We know that 1 foot is 12 inches, so 5'6" is equivalent to (5*12) + 6 = 66 inches. Similarly, 5'5" is equivalent to (5*12) + 5 = 65 inches.The formula to find z-score is Where x is the height of the player, μ is the mean height and σ is the standard deviation. Substituting the values in the formula, we get the z-score Similarly, the z-score for 5'5 .

To know more about probabilities visit :

https://brainly.com/question/29381779

#SPJ11

150.72

...............

The main limitation of a cross-sectional study design is that researchers cannot infer the temporal sequence between exposure and disease when the exposure is a changeable characteristic.

Cross-sectional studies are observational studies that measure the prevalence of a disease or health outcome at a specific point in time and assess the association between the outcome and exposure to certain risk factors. However, because the data is collected at a single time point, it is impossible to determine the order of events between exposure and outcome. This is particularly problematic when the exposure is a changeable characteristic such as diet or lifestyle habits. In such cases, it is difficult to determine whether the exposure caused the outcome or whether the outcome led to changes in exposure. Despite this limitation, cross-sectional studies can still provide valuable information about the prevalence and distribution of diseases and risk factors in a population.

To know more about exposure visit:

https://brainly.com/question/30334200

#SPJ11

The expression 7.9V6 + 2.8 is unclear, as "V6" does not represent a known operation. Therefore, it is not possible to determine the value of the expression.

To calculate the value of 7.9V6 + 2.8, we need to evaluate the expression.

First, let's understand the expression "7.9V6." It seems like a typographical error, as the letter "V" does not typically represent any mathematical operation. If we assume it is meant to be a multiplication symbol, the expression can be rewritten as 7.9 * 6.

Next, we can calculate the value of 7.9 * 6, which equals 47.4.

Now, we have 47.4 + 2.8. Adding these two values gives us a result of 50.2.

Therefore, the value of 7.9V6 + 2.8 is 50.2.

In conclusion, the expression is likely a typographical error, but if we interpret it as a multiplication, the value is 50.2 when evaluated.

To learn more about adding click here

 brainly.com/question/14359560

#SPJ11

Answer:

Step-by-step explanation:

y=9x^2-36

=> 9x^2-y-36=0

b^2-4ac

a= 9

b= -1

c= -36

D=y - (4x9x-36)

D=y+1296

-b(+/-) root Dwhole divided by 2a

1+root of y+1296 divided by 18

1+ y + 36 divided by 18

x= y+1+2

x=y+3

The equation which represents the number of the team 't' participated in the water balloon contest is equal to 12t = 48 and number of teams are 4.

Let us consider 't' represents the number of teams participated in the water  balloon contest.

Total number of water balloons given by Javier to each team is equal to 12

Total number water balloons distributed by the Javier is equal to 48.

The equation which represents the number of the team in the water balloon contest is given by :

12t = 48

Number of teams participated in contest are:

⇒ t = 48 / 12

⇒ t = 4

Therefore, the equation represents the number of teams in the balloon  contest is equal to 12t = 48 and number of teams are 4.

Learn more about equation here

brainly.com/question/29538993

#SPJ4

No, we cannot find a unique price for an apple and an orange

Let the price of an apple be $x and that of orange be $y.

Condition 1.

They need $10 for 4 apples and 4 oranges.

Then, 4x + 4y = 10

or, 2x + 2y = 5 .....(1)

Condition 2.

They need $12 for 6 apples and 6 oranges.

Then, 6x + 6y = 12

or, 2x + 2y = 5 .....(2)

Two identical linear equations have been discovered.

They do, however, create a system of dependent linear equations that reduces to:

2x + 2y = 5

There are infinite possible solutions to this linear equation.

Thus, we get the conclusion that an apple and an orange cannot have different prices.

Learn more about linear equations:

https://brainly.com/question/13738061

#SPJ4

The most appropriate model to represent the data in the table is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

Read more about function at

https://brainly.com/question/30318449

#SPJ1

The product in simplest form is \(-250\sqrt[3]{50}\) .

In the question,

It is given that,

\(5*\sqrt[3]{5} * (-10\sqrt[3]{50})\)

By radical laws, \(\sqrt{a} * \sqrt{b} = \sqrt{ab}\)

So,

The given question becomes:

\(-50*\sqrt[3]{50*5} = -50*\sqrt[3]{250} = -250\sqrt[3]{5} }\)

Learn more about simplest forms here

https://brainly.com/question/11860286

#SPJ1

Answer:

7.5 x 10⁵

Step-by-step explanation:

2.5x10^3)(3x10^2)= 750000

move decimal all the way to the left with one # in front of your decimal

If the rate of change of function f is the same from x = −9 to x = −4 as it is from x = 1 to x = 6, then function f is a linear function.

A linear function is a function whose graph is a straight line. Its equation is typically represented by y = mx + b, where m is the slope or gradient of the line and b is the y-intercept.

Let's take a look at the given information that the rate of change of function f is the same from x = −9 to x = −4 as it is from x = 1 to x = 6. The interval from x = −9 to x = −4 is equal to the interval from x = 1 to x = 6, and the rate of change of function f is the same.

It indicates that function f is not increasing or decreasing rapidly, meaning it must be a linear function, whose graph is a straight line with a constant slope.

You can learn more about linear functions at: brainly.com/question/29281420

#SPJ11