What is the answer here and explain why.

Answer:

1=false 2=false 3=true 4=true 5=false 6=false

Step-by-step explanation:

Answer:

VA = 2/3πrB²hB

Step-by-step explanation:

Let the volume of cosA ad cone B be expressed as;

Va = 1/3πra²ha

Vb = 1/3πrb²hb

If the radius of the base of cone A is twice as large as the radius of the base of cone B

rA = 2rB

If the height of cone B is twice the height of cone A, then;

hB = 2hA

hA = hB/2

Recall that;

VA = 1/3πrA²hA

VA = 1/3π(2rB)²(hB/2)

VA = 1/3π*4rB²(hB/2)

VA = 2/3πrB²hB

This gives the volume of cone A

The marginal cost, revenue, and profit functions can be written as:

C'(x) = 7

R'(x) = 9 - 0.02x

P'(x) = 2 - 0.02x

To find the marginal cost, revenue, and profit functions, we need to take the first derivative of the cost and revenue functions with respect to x.

C(x) = 7x

Taking the derivative of C(x) gives us:

C'(x) = 7

R(x) = 9x − 0.01x^2

Taking the derivative of R(x) gives us:

R'(x) = 9 - 0.02x

The marginal profit is calculated by subtracting the marginal cost from the marginal revenue. Therefore, the marginal profit function can be written as:

P'(x) = R'(x) - C'(x)

P'(x) = 9 - 0.02x - 7

P'(x) = 2 - 0.02x

The marginal cost function C'(x) tells us the rate of change of the cost with respect to the quantity produced. It means that for each additional ounce of the commodity produced, the cost increases by $7.

The marginal revenue function R'(x) tells us the rate of change of the revenue with respect to the quantity produced. It means that for each additional ounce of the commodity sold, the revenue increases by $9 - 0.02x.

The marginal profit function P'(x) tells us the rate of change of the profit with respect to the quantity produced. It means that for each additional ounce of the commodity produced, the profit increases by $2 - 0.02x.

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Answer:

Step-by-step explanation:

when GDK goes up GD goes down

Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

The formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.

To find a formula for the n-th term of the sequence 45, 56, 67, ..., we can observe that each term is obtained by adding 11 to the previous term.

We can express the n-th term of the sequence as follows:

b_n = 45 + (n - 1) * 11

This formula calculates the value of the n-th term by starting with the initial term 45 and adding 11 times the number of steps away from the initial term.

Therefore, the formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.

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1. Converse: If I stay at home, then it snows tonight.

Contrapositive: If I do not stay at home, then it does not snow tonight.

Inverse: If it does not snow tonight, then I will not stay at home.

2. Converse: If it is a sunny summer day, then I go to the beach.

Contrapositive: If I do not go to the beach, then it is not a sunny summer day.

Inverse: If it is not a sunny summer day, then I will not go to the beach.

3. Converse: If I sleep until noon, then I stayed up late.

Contrapositive: If I don't sleep until noon then I didn't stay up late.

Inverse: If I didn't stay up late, then I won't sleep until noon.

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The complete question is -

State the converse, contrapositive, and inverse of each of these conditional statements.

1. If it snows tonight, then I will stay at home.

2. I go to the beach whenever it is a sunny summer day.

3. When I stay up late, it is necessary that I sleep until noon.

Answer:

1/3

Step-by-step explanation:

(8, 2) and (11, 3)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(3 - 2) / (11 - 8)

Simplify the parentheses.

= (1) / (3)

Simplify the fraction.

= 1/3

This is your slope.

Hope this helps!

First, complete the square in the equation for the second circle to determine its center and radius:

x ² - 10x + y ² = 0

x ² - 10x + 25 + y ² = 25

(x - 5)² + y ² = 5²

So the second circle is centered at (5, 0) with radius 5, while the first circle is centered at the origin with radius √100 = 10.

Now convert each equation into polar coordinates, using

x = r cos(θ)

y = r sin(θ)

Then

x ² + y ² = 100   →   r ² = 100   →   r = 10

x ² - 10x + y ² = 0   →   r ² - 10 r cos(θ) = 0   →   r = 10 cos(θ)

y = 5   →   r sin(θ) = 5   →   r = 5 csc(θ)

See the attached graphic for a plot of the circles and line as well as the bounded region between them. The second circle is tangent to the larger one at the point (10, 0), and is also tangent to y = 5 at the point (0, 5).

Split up the region at 3 angles θ₁, θ₂, and θ₃, which denote the angles θ at which the curves intersect. They are

θ₁ = 0 … … … by solving 10 = 10 cos(θ)

θ₂ = π/6 … … by solving 10 = 5 csc(θ)

θ₃ = 5π/6  … the second solution to 10 = 5 csc(θ)

Then the area of the region is given by a sum of integrals:

\(\displaystyle \frac12\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}\left(10^2-(10\cos(\theta))^2\right)\,\mathrm d\theta+\int_{\frac\pi6}^{\frac{5\pi}6}\left((5\csc(\theta))^2-(10\cos(\theta))^2\right)\,\mathrm d\theta\right)\)

\(=\displaystyle 50\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\} \sin^2(\theta)\,\mathrm d\theta+\frac12\int_{\frac\pi6}^{\frac{5\pi}6}\left(25\csc^2(\theta) - 100\cos^2(\theta)\right)\,\mathrm d\theta\)

To compute the integrals, use the following identities:

sin²(θ) = (1 - cos(2θ)) / 2

cos²(θ) = (1 + cos(2θ)) / 2

and recall that

d(cot(θ))/dθ = -csc²(θ)

You should end up with an area of

\(=\displaystyle25\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}(1-\cos(2\theta))\,\mathrm d\theta-\int_{\frac\pi6}^{\frac{5\pi}6}(1+\cos(2\theta))\,\mathrm d\theta\right)+\frac{25}2\int_{\frac\pi6}^{\frac{5\pi}6}\csc^2(\theta)\,\mathrm d\theta\)

\(=\boxed{25\sqrt3+\dfrac{125\pi}3}\)

We can verify this geometrically:

• the area of the larger circle is 100π

• the area of the smaller circle is 25π

• the area of the circular segment, i.e. the part of the larger circle that is bounded below by the line y = 5, has area 100π/3 - 25√3

Hence the area of the region of interest is

100π - 25π - (100π/3 - 25√3) = 125π/3 + 25√3

as expected.

Answer:

the answer is 6

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

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Answer:

A transaction processing system is also referred to as a TPS.

Step-by-step explanation:

A transaction processing system is also referred to as a TPS.

A Transaction Processing System (TPS) is also referred to as a real-time processing system. These systems are used in business operations to handle transaction data, often passing the ACID test. Common examples are billing and payroll systems.

A Transaction Processing System (TPS) is also referred to as a real-time processing system. Transaction Processing Systems are used in business operations to collect, store, modify and retrieve transaction data of an enterprise. A transaction involves any event which passes the ACID test (Atomicity, Consistency, Isolation, Durability) where data is generated or modified before storage in an information system. Examples of TPS include billing systems, payroll systems, and point of sale systems.

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer: 620000

Step-by-step explanation:

10^6=1000000

10^5=100000

100000 x 6.8 =680000Answer: 620000

1.3 x 1000000 = 1300000 - 680000= 620000

Answer:

C/25 + H/40 = 15

Step-by-step explanation:

Let's call C the number of city miles, and H the number of highway miles.

The total gas used is therefore:

C/25 + H/40

The fuel tank holds 15 gallons, so:

C/25 + H/40 = 15

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

.

the total area is the sum of the areas:

720in^2 + 108in^2 + 150in^2 = 978in^2.

\(\frac{j^{3}k }{h^{0} }=1\)

An algebraic expressions is an expressions in which it contains the variables and constants, along with algebraic operations (addition, subtraction, multiplication, etc.). Expressions are made up of terms.

Given, h=8, j = -1 and k=-12.

To find :

\(\frac{j^{3}k }{h^{0} }\)

The given is the expressions made up of variables as j, k, h and constants as 3,0 and operations as exponents and division.

To find the value of the given term we have to substitute the given values.

\(\frac{j^{3}k }{h^{0} }\) = \(\frac{(-1)^3*-12}{8^0}\)

Solve the denominator we get, \(8^{0} = 1\)

Then the above term becomes,

\(\frac{(-1)^3*-12}{8^0} = \frac{(-1)^3*12}{1}\)

Evaluate all exponents we get, \(-1^{3} =-1\)

, \(\frac{-1*-12}{1}\) = 12

Hence,\(\frac{j^{3}k }{h^{0} } =1\)

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Answer:

y=9x

Step-by-step explanation:

For these x's and y's, we can notice that y is always equal to 9 times the value of x. 0 equals 9 * 0, 9 equals 9 * 1, 18 equals 9 * 2, 27 equals 9 * 3, and 36 equals 9 * 4.

We have just shown that y equals 9 times x, which is just y=9*x, or y=9x.

The histogram here shows nerve impulse rates (in m/s) among 49 banana slugs.

a. The interval on the x-axis that contains the median is 40-50 m/s. This is because the median is the middle value of the data set, and there are 49 slugs in total. The 25th slug (the middle value) falls in the 40-50 m/s interval.

b. The frequency of slugs with impulse rates that are at least 60 m/s is 8. This is calculated by adding the frequencies of the intervals 60-70 m/s, 70-80 m/s, 80-90 m/s, and 90-100 m/s (2+2+2+2=8).

c. The relative frequency of slugs with impulse rates that are at least 60 m/s is 8/49, or about 0.163. This is calculated by dividing the frequency of slugs with impulse rates that are at least 60 m/s (8) by the total number of slugs (49).

d. The relative frequency of slugs with impulse rates that are less than 60 m/s is 41/49, or about 0.837. This is calculated by subtracting the frequency of slugs with impulse rates that are at least 60 m/s (8) from the total number of slugs (49) and then dividing by the total number of slugs (49).

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1. There are 80 Nickels, 120 dimes, and 300 quarters in the piggy bank.

2. The coins worth is $91

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Assume that, the number of Nickel coins is x.

Given that, 2 nickles there are 3 dimes.

1 nickle there are 3/2 dimes.

x nickles there are 3x/2 dimes.

Also given that,

2 dimes there are 5 quarters.

1 dimes there are 5/2 quarters.

3x/2 dimes there are (5/2) × (3x/2) quarters = 15x/4.

There is 500 coins in the piggy.

Therefore, x + (3x/2) + (15x/4) = 500

(4x + 6x + 15x) /4 = 500

25x/ 4 = 500

x = 80.

The number of dimes is (3 × 80)/2 = 120

The number of quarters is (15 × 80)/4 = 300.

The total cost of 80 nickles, 120  dimes, and 300 quarters is

= [(80 ×  5) + (120 × 10) + (300 × 25)] cents

= 400 + 1200 + 7500 cents

= 9100 cents

= $(9100/100)

= $ 91

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This pooled estimate provides a common probability of success for both populations under the null hypothesis H0: p1 = p2, and is used in the calculation of the test statistic for the hypothesis test.

To calculate the best pooled estimate p for the population probability of success using H0: p1 = p2, we first need to calculate the individual sample proportions for each population.

The sample proportion for the first population is r1/n1, and the sample proportion for the second population is r2/n2.

Then, we can calculate the pooled estimate p as:

p = (r1 + r2) / (n1 + n2)

This is the weighted average of the sample proportions, where the weight is proportional to the sample size.

Using this pooled estimate p, we can then calculate the test statistic for the hypothesis test of difference of proportions.

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Answer:

P = 17

Step-by-step explanation:

let's separate this into x and y components

x component: 3x

as x increases, so does the x component. e.g. 0 * 3 = 0, 4 * 3 = 12. therefore, we want x as high as possible

y component: y

as y increases, so does the y component. this is because the y component is literally just y.

therefore, given these two, to maximize P, we want x and y to be as high as possible

in 0 ≤ x ≤ 4, the maximum of x is 4

in -1 ≤ y ≤ 5, the maximum of y is 5

plug these in to get

3(4) + 5 = 17 as our answer

Answer:

17

Step-by-step explanation:

To determine how many papers the newspaper boy should order each day, we need to consider his profit margin. His profit is the difference between the revenue earned from selling the papers and the cost of buying them.

The revenue earned is the number of papers sold multiplied by the selling price of $0.50. The cost of buying the papers is the number of papers ordered multiplied by the buying price of $0.30. Let's say he orders x papers each day. The expected value of his revenue can be calculated as x multiplied by the mean of 100 papers,

which is 100x. The expected value of his cost can be calculated as x multiplied by the buying price of $0.30, which is 0.3x. His profit can then be calculated as the difference between his revenue and cost, which is 0.2x (since the selling price of $0.50 minus the buying price of $0.30 is $0.20 profit per paper).

To maximize his profit, he should order the number of papers that gives him the highest expected profit. This occurs at the point where the deviation from the mean is zero. In other words, he should order the number of papers that gives him the highest probability of selling all of them, without having any unsold papers that he needs to throw away.

Using the formula for standard deviation, we can calculate that the probability of selling all 100 papers is 68.3%. The probability of selling 101 papers is slightly lower at 64.2%, while the probability of selling 99 papers is also slightly lower at 64.2%.

Therefore, to maximize his profit, the newspaper boy should order 100 papers each day, since this gives him the highest probability of selling all of them without having any unsold papers. This would give him a daily profit of $10 (100 papers sold x $0.20 profit per paper).

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The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.

This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.

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Answer:

Step-by-step explanation:

The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.

H = 9 cm

S = 21 cm

A = S•H = 21 cm • 9 cm = 189 cm²

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

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