The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of the volume of the cylinder in cubic centimeters? Round to the nearest tenth.

Answer:

Step-by-step explanation:

When the stick is placed along the diagonal  of the cuboid , shortest possible length will extend out above top of the crate .

Length of the diagonal

= \(\sqrt{36^2+36^2+60^2}\)

= 78.69 cm

the length of the stick that extends out of the crate

= 90 - 78.69

= 11.31 cm

If θ be the angle made by stick with the base

cosθ = hypotenuse of base / diagonal of cuboid

=\(\frac{\sqrt{2}\times36 }{78.69}\)

= \(\frac{50.90 }{78.69}\)

θ = 50°

Answer: This is the answer to B) 47.9 degrees

Step-by-step explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚

The inverse relation is {(‐2,1), (3, 2),(‐3, 3),(2, 4)}, {(2, 4),(1, 5),(0, 6),(‐1, 7)}, the inverse equation is: y = (-x + 3)/8, y = (3/2)x - (15/2),  y = (1/2)x + 10,

x = sqrt(y) + 3 or x = -sqrt(y) + 3 and  f(g(x)) = g(f(x)) = x, f and g are inverse functions.

1.To find the inverse of the relation, we need to switch the x and y values of each point and solve for y:

{(‐2,1), (3, 2),(‐3, 3),(2, 4)}

2. Following the same process as above:

{(2, 4),(1, 5),(0, 6),(‐1, 7)}

So the inverse relation is {(2, 4),(1, 5),(0, 6),(‐1, 7)}.

3.To find the equation of the inverse, we can solve for x:

y = -8x + 3

x = (-y + 3)/8

So the inverse equation is: y = (-x + 3)/8.

4. Following the same process as above:

y = (2/3)x - 5

x = (3/2)y + 5

So the inverse equation is: y = (3/2)x - (15/2).

5. Following the same process as above:

y = (1/2)x + 10

x = 2(y - 10)

So the inverse equation is: y = (1/2)x + 10.

6.To find the inverse equation, we need to solve for x:

y = (x-3)^2

x = sqrt(y) + 3 or x = -sqrt(y) + 3

So the inverse equation is: x = sqrt(y) + 3 or x = -sqrt(y) + 3.

7,To verify that f and g are inverse functions, we need to show that f(g(x)) = x and g(f(x)) = x.

f(x) = 5x + 2

g(x) = (x-2)/5

f(g(x)) = 5((x-2)/5) + 2 = x - 2 + 2 = x

g(f(x)) = ((5x + 2)-2)/5 = x/5

Since f(g(x)) = g(f(x)) = x, f and g are inverse functions.

8.Following the same process as above:

f(x) = (1/2)x - 7

g(x) = 2x + 14

f(g(x)) = (1/2)(2x+14) - 7 = x

g(f(x)) = 2((1/2)x - 7) + 14 = x

Since f(g(x)) = g(f(x)) = x, f and g are inverse functions.

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Answer:

(x - 3/4)^2 + (y - 1/2)^2 = r^2

Brainliest, please!

Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(x - 3/4)^2 + (y - 1/2)^2 = r^2

We do not have enough information to find the radius. Were you given another point that lies on the circle?

Answer:

2nd floor

Step-by-step explanation:

starts on 1st floor

+6 floors

6 - 2 = 4 floors

4 + 3 = 7 floors

7 - 5 = 2 floors

Answer:

3

Step-by-step explanation:

I took the test

and i tried 2 it was wrong

The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

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The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

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Answer:

\(\frac{-3}{2}\)

Step-by-step explanation:

Answer: NO

Step-by-step explanation:

The line that separates the two part is a dashed line which means that the point on the lines are not in the solution

EXTRA: ONLY IF IT IS A SOLID LINE, THE POINTS WILL BE A SOLUTION

(-2,0) is on the dashed line, so it is not a solution

Answer:

6

Step-by-step explanation:

6 is the highest number that goes in to both numbers

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

This is how you convert

Step-by-step explanation:

Feet per minute is speed unit, symbol: [fpm]. Definition of 1 feet per minute ≡ 1 ft / 60 s = 30.48 cm / 60 s. The speed with which the body moves 1 foot (or 30.48 centimetres) in 1 minute.. Compared to metre per second, feet per minute is smaller unit.

The points that proves that these are the vertices of an isosceles triangle are (a-b), (b-c)

We have to solve this problem using the distance between two points.

This is given as

\(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

The points are

a (2,3)

b (-2,1)

c (4,7)

The vertices would be gotten through a - b, a - c, b - c

For a - b

\(d = \sqrt{(-2- 2)^2 + (1 - 3)^2}\)

d = \(\sqrt{16+4}\)

= 4.472

For a - c

\(d = \sqrt{(4- 2)^2 + (7 - 3)^2}\)

\(d = \sqrt{4 +16}\)

= 4.472

For b - c

\(d = \sqrt{(4-- 2)^2 + (7 - 1)^2}\)

d = \(\sqrt{36+36}\) = 8.47

We can see that the value of a-b, a-c are equal because they are both 4.472.

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Each video game = $19 and each DVD = $ 32

An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.

let, x denotes the cost of each video games.

y denotes the cost of each DVD

Katie bought 2 games and 3 DVD and total spent $134.

the equation can be written as 2x + 3y = $134 .......equation 1

Emily bought 1 less video game than Katie that means she bought 1 game.

 and    2 more DVD than Katie that means 5 DVD bought by Emily.

total spent of Emily = $179

The equation will be x + 5y = $179...... equation 2

in order to solve the two equations by addition method

we multiply by 2 to the second equation.

2x + 10y = 358

the first equation 2x +3y = 134

                             2x + 10y = 358

                            -       -          -

                    by subtracting we get,

                         - 7y = -224

                         y = 32

from the 2nd equation we get x = -5×32 + 179

                                       x = 19

each video game cost $ 19 and each DVD cost $ 32

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Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

D=mv

Divide both sides by m to get

d/m=v :D

A relation ~ on R' is defined as a relation where (a,b) ~ (c,d) if and only if a3+b3=c3+d3. This relation is transitive but not symmetric.

Transitivity of the relation states that if (a, b) ~ (c,d) and (c, d) ~ (e, f) then (a, b) ~ (e, f). This means that if a3+b3=c3+d3 and c3+d3=e3+f3 then a3+b3=e3+f3, thus, the relation is transitive.

Symmetry of the relation means that if (a, b) ~ (c, d) then (c, d) ~ (a, b). This, however, does not hold in this relation since it is possible for a3+b3=c3+d3 and yet c3+d3≠a3+b3. For example, (1,2) ~ (8,4), this is true since 13+23=83+43, however, this does not mean that (8,4) ~ (1,2) since 83+43≠13+23. Therefore, this relation is not symmetric.

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The conversion of 52 degree F into Celsius is 11.11 Degree Celsius.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

C= 5/9 (F- 32)

and, F = 9/5C + 32

We have F= 52 F put the value to Celsius Formula

C = 5/9 (52- 32)

C = 5/9 (20)

C = 100/ 9

C= 11.11

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The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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Answer:

The mean  absolute deviation is 2

Answer:

M A D is 2

Step-by-step explanation:

Option C, There are 36 potential methods to choose two persons at random from a group of nine people using permutation and combination.

The combination formula, a method of counting the number of ways to select a subset of k items from a collection of n objects without regard to their order, is used to provide an answer to this query.

In this instance, C is used to choose two people from a group of nine (9,2). We may choose any two of the nine people in 36 different ways by using the method to determine that there are 36 potential options.

The combination formula gives a variety of methods to choose two persons from a group of nine:

C(9,2) = 9!/(2!(9-2)!) = 98/21 = 36

There are so 36 options available. Option c) 36 provides the solution.

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Answer:

After a quick online search, I've found that the complete question is:

a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs  the same amount, complete the table of values representing the cost of gummy candy in pounds.

Then we want to graph the points, and then comes our question:

c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.

So first, we know that this is a proportional relationship (each pound of candy costs the same)

And 0 pounds of candy should cost $0.

Then the relation between y (price) and x (number of lb) is:

y = k*lb

where k is the cost per lb.

Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:

$4.50 = k*3lb

($4.50/3lb) = k = $1.50/lb

Then the linear relation is:

y = ($1.50/lb)*x

Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.

If we replace those values in the equation, we get:

$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25

This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.

The probability that Waldo correctly answers a randomly selected question is approximately 0.835 or 83.5%.

To calculate the probability that Waldo correctly answers a randomly selected question, we need to consider two scenarios:

Scenario 1: Waldo knows the fact assessed in the question.

Scenario 2: Waldo does not know the fact assessed in the question.

In Scenario 1, since Waldo knows 78% of the facts assessed in the test, there is a 78% probability that he knows the fact assessed in the randomly selected question. In this case, he will select the correct answer with a probability of 1 (100%).

In Scenario 2, there is a 22% probability that Waldo does not know the fact assessed in the randomly selected question. In this case, he will randomly select one of the four possible answers, and the probability of selecting the correct answer is 1 out of 4 (1/4) or 25%.

To calculate the overall probability that Waldo correctly answers the question, we need to consider the weighted average of the probabilities from both scenarios. Since Scenario 1 occurs with a probability of 78% and Scenario 2 occurs with a probability of 22%, the overall probability can be calculated as:

Overall Probability = (Probability in Scenario 1) + (Probability in Scenario 2)

= (0.78 × 1) + (0.22 ×0.25)

= 0.78 + 0.055

= 0.835

Therefore, the probability that Waldo correctly answers a randomly selected question is approximately 0.835 or 83.5%.

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Answer:

Step-by-step explanation:

To write 0.246 as a fraction in simplest form, we need to remove the decimal and reduce the fraction to its lowest terms.

Step 1: Write 0.246 as the fraction 246/1000.

(Note: We get the denominator 1000 by counting the number of decimal places after the 6 in 0.246.)

Step 2: Simplify the fraction by dividing both the numerator and denominator by the greatest common factor.

The greatest common factor (GCF) of 246 and 1000 is 2.

246/2 = 123

1000/2 = 500

Therefore, 0.246 written as a fraction in simplest form is 123/500.

Answer:if I’m correct I think you would put it like this 123/500

It can’t be reduced because the denominator is at it’s simplest form

Step-by-step explanation:

Answer: The answer is <5>

Step-by-step explanation:

Solution Steps

−5×2÷−2

Cancel out −2 and −2.

−5(−1)

Multiply −5 and −1 to get 5.

5

I hope this helps!

Given:

Number of spheres = 2

Number of prisms = 3

Number of pyramids = 5

To find:

The probability that a pyramid will be selected.

Solution:

We have,

Favorable outcomes = Number of pyramids

                                  = 5

Total outcomes = Total number of figures

                          = \(2+3+5\)

                          = \(10\)

Now, the required probability is:

\(\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

\(\text{Probability}=\dfrac{5}{10}\)

\(\text{Probability}=0.5\)

Therefore, the probability that a pyramid will be selected is 0.5.

the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

a) This scenario follows the binomial distribution, as we are drawing marbles with replacement and interested in the number of successes (getting a blue marble) in a fixed number of trials.

b) The Poisson distribution is used to model the number of events occurring in a fixed time interval, given a certain rate of occurrence. It is not applicable in this scenario.

c) The hypergeometric distribution is used to model the probability of obtaining a certain number of successes in a sample without replacement, given a finite population of items that can be classified into successes and failures. In this scenario, we are drawing with replacement, so the hypergeometric distribution is not applicable.

d) Therefore, the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

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a) 20 acres of corn, b) 15 acres of cotton, and c) 5 acres of peanuts will be planted. The total profit will be $12,250.

To solve the linear programming problem, we use a simplex method. The optimal solution for this problem is: a) x1 = 20, x2 = 5, x3 = 15, b) x1 = 15, x2 = 15, x3 = 10, and c) x1 = 5, x2 = 20, x3 = 0. Thus, 20 acres of corn, 15 acres of cotton, and 5 acres of peanuts will be planted to maximize profit, which is $12,250.

To determine the binding constraints, we calculate the slack variables for each constraint. The slack variables for constraint 1, 2, 3, and 4 are 0, 0, 15, and 0, respectively. Therefore, the binding constraints are constraint 3 (insecticide tons) and constraint 1 (labor hours) with a slack of 15 hours.

The maximum profit is obtained by plugging in the optimal solution into the objective function. Profit = 550x1 + 350x2 + 450x3 = $12,250.

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Answer:

A parabola is the set of all points equidistant from the directrix and focus.

The line of symmetry intersects the focus and directrix

The line of symmetry and the directrix are perpendicular

Step-by-step explanation:

A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).

The fixed line of a parabola is known as the directrix of the parabola.

The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.

The directrix of a parabola does not intersect touch the parabola

Answer:

1,3,4,5 are correct

Step-by-step explanation: