Find the volume of the composite figures (pls)

In part a, we will calculate the number of square inches in a pizza with a 16-inch diameter. In part b, we will calculate the number of square centimeters in a pizza with a 27.8-centimeter diameter.

Part a: To find the area of the pizza in square inches, we need to calculate the area of a circle with a diameter of 16 inches. The formula for the area of a circle is \(A=\pi r^2\), where r is the radius. Since the diameter is given, we can find the radius by dividing the diameter by 2. So, the radius of the pizza is 16/2 = 8 inches. Plugging this value into the formula, we get \(A = \pi (8^2) = 64\pi\) square inches.

Part b: To find the area of the pizza in square centimeters, we need to calculate the area of a circle with a diameter of 27.8 centimeters. Again, we use the formula \(A=\pi r^2\), but this time we need the radius in centimeters. The radius is 27.8/2 = 13.9 centimeters. Plugging this value into the formula, we get \(A = \pi (13.9^2) = 191.04\pi\) square centimeters.

Part c: To convert the area from part a (in square inches) to square centimeters, we need to know the conversion factor. Given that 1 inch is equal to 2.54 centimeters, we can square this conversion factor to get the conversion factor for area.

So, 1 square inch is equal to \((2.54)^2 = 6.4516\) square centimeters. Multiplying the area from part a (64π square inches) by the conversion factor, we get 64π * 6.4516 square centimeters, which simplifies to 412.96π square centimeters.

Therefore, the pizza from Tallahassee has an area of 64π square inches, the pizza from Jaco, Costa Rica has an area of 191.04π square centimeters, and the conversion of the pizza from Tallahassee to square centimeters is approximately 412.96π square centimeters.

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Answer:

it's answer is last option

42* 3 = B.

Answer:

Step-by-step explanation

D

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

The correct option is : c. Valid

Does the logical relationship between the premises and conclusion in the given argument hold true?

Yes, the logical relationship between the premises and conclusion in the given argument holds true.

To evaluate the given argument, we can break it down into its premises and conclusion:

Premises:

1.e ⊃ j (If e, then j)

2.b ⊃ q (If b, then q)

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Conclusion:

(e • b) ≡ d ((e and b) if and only if d)

To determine the validity and cogency of the argument, we need to assess whether it is logically valid and whether its premises are true.

Validity: An argument is valid if the truth of its premises guarantees the truth of its conclusion. Let's analyze each premise:

1.e ⊃ j (If e, then j)

This premise asserts a conditional statement. If e is true, then j must also be true. This premise seems reasonable.

2.b ⊃ q (If b, then q)

Similar to the first premise, this premise asserts a conditional statement. If b is true, then q must also be true. This premise seems reasonable as well.

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Once again, this premise states a conditional relationship. If d is true, then both j and not q must be true. This premise also seems reasonable.

Now let's consider the conclusion:

(e • b) ≡ d ((e and b) if and only if d) This conclusion states an equivalence, asserting that (e and b) is true if and only if d is true.

Given that all the premises are reasonable and logically valid, we can conclude that the argument is valid.

Therefore, the correct answer is:

c. Valid.  

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To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

The number of socks chosen at random will be denoted by the letter "n." Given by: The anticipated number of blue socks in "n" pairs

Expected number of blue socks = n * 1/4

In order for there to be four blue socks as expected, we need to determine the value of "n." Thus, we can construct the equation:

n * 1/4 = 4

And solving for n:

n = 4 / (1/4) = 4 * 4 = 16

So, To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

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Answer:

£334.40

Step-by-step explanation:

12% of 5700

= \(\frac{$(12\times 5700)/100$}\)

= 684

=  the deposit

5700 - 684 = 5016

this is the amount that needs to be paid after the deposit.

5016 / 15 = 334.40

= £334.40

Answer:

6 hours

Step-by-step explanation:

Bc 2hours for 1/3 so and 4 more hours and u get 6. Hope this helps u have a good day. Sorry if wrong

Answer:

6 hours

Step-by-step explanation:

(a) A spanning set is a set of vectors that, through linear combinations, can generate all possible vectors within a given vector space.

(b) T(ax) = [-20; -4].

(a) Spanning Sets:

A spanning set is a set of vectors that, through linear combinations, can generate all possible vectors within a given vector space. In other words, a spanning set can reach every point in the vector space by scaling and adding its vectors.

(b) Showing that the set of vectors {(2, -1, 4), (1, 0, 2)} is a spanning set:

To show that a set of vectors is a spanning set, we need to demonstrate that any vector in the vector space can be expressed as a linear combination of the given vectors.

Let's consider a general vector in R³, denoted as v = (x, y, z).

To express v as a linear combination of the given vectors, we need to find scalars a and b such that:

a(2, -1, 4) + b(1, 0, 2) = (x, y, z)

By equating corresponding components, we can set up a system of equations:

2a + b = x

-a = y

4a + 2b = z

Solving this system, we find:

a = x/2

b = -y

z = 4x + 2y

Therefore, any vector (x, y, z) in R³ can be expressed as a linear combination of (2, -1, 4) and (1, 0, 2), which shows that the given set of vectors is a spanning set for R³.

(c) Given matrix A = [2 4; 0 1] and vector x = [1; 2; 6]:

To find T(ax), where a = -2, we multiply matrix A by the scalar -2:

T(ax) = A * (-2) * x

Multiplying, we have:

T(ax) = [-4 -8; 0 -2] * [1; 2; 6]

      = [-4*1 - 8*2; 0*1 - 2*2]

      = [-4 - 16; 0 - 4]

      = [-20; -4]

Therefore, T(ax) = [-20; -4].

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Answer:

11/20

Step-by-step explanation:

5 cents is worth $0.05.

A quarter is worth $0.25.

A dime is worth $0.10

A nickel is worth $0.05

A penny is worth $0.01

In total there are 40 coins in the jar.

The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.

Therefore, the probability of of picking a coin worth more than 5 cents is:

22 / 40 = 11/20

a. (H0): p = 0.50 (the politician is supported by exactly 50% of voters). (H1): p > 0.50 (the politician is supported by more than 50% of voters).

b. Sample proportion = 42/70 = 0.60 (or 60%).

c. Test statistic = (0.60 - 0.50) / sqrt(0.50 * (1 - 0.50) / 70) ≈ 1.61

d. The value and conclusion cannot be determined without knowing the chosen significance level (α) or having information about the critical value or p-value associated with the test statistic.

a. The null hypothesis (H0) in this case would be P = 0.50, indicating that the politician is supported by exactly 50% of the voters. The alternative hypothesis (Ha) would be p ≠ 0.50, suggesting that the proportion differs from 50%.

b. To calculate the sample proportion, we divide the number of voters supporting the politician (42) by the total number of voters surveyed (70):

Sample proportion (p) = 42/70 = 0.60 (rounded to 2 decimal places).

c. The test statistic (z) can be computed using the formula:

z = (p - P) / √(P(1 - P) / n),

where p is the sample proportion, P is the null hypothesis proportion, and n is the sample size. In this case, P = 0.50 and n = 70. Substituting these values, we have:

z = (0.60 - 0.50) / √(0.50(1 - 0.50) / 70) = 2.26 (rounded to 2 decimal places).

d. To determine the value of the test statistic, we compare the computed test statistic (z = 2.26) with the critical values corresponding to the chosen level of significance (e.g., 0.05). By comparing the test statistic with the critical values from a standard normal distribution table, we can evaluate the statistical significance of the results and make conclusions about the claim made by the politician.

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Answer:

A

Step-by-step explanation:

it is A for every output y , there is only one input x

Answer:

A

Step-by-step explanation:

Because all the x-intercepts are different. Whereas all the other ones have repeats of numbers in the x-intercepts.

The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.

Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.

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The sum numbers are 1, 2, 4, 5, 8, 10, 20, 40

Answer:

138.6

Step-by-step explanation:

154 x .9=138.6

Answer:

£15.4

Step-by-step explanation:

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

-2 3/5 = -2.6

√20 = 4.47

3.9 = 3.9

10/3 = 3.33

3 7/8 = 3.875

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

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Answer:

X = 35/8

Y = -5

Acceptance sampling allows for the inspection of a subset of items from a larger batch, making it suitable for logistics and materials management. It provides a cost-effective way to assess the quality of incoming materials or products, ensuring they meet specified criteria.

In logistics, acceptance sampling helps in verifying the quality of received shipments without the need to inspect every single item. By sampling a representative subset, logistics personnel can quickly assess whether the materials or products meet the required standards. This enables efficient decision-making regarding acceptance, rejection, or further inspection. In materials management, acceptance sampling aids in maintaining quality control throughout the supply chain. By implementing sampling plans at different stages, organizations can identify potential issues early on and take corrective actions,

Reducing the risk of defects or substandard materials reaching the production line. Overall, acceptance sampling enhances efficiency, reduces costs, and facilitates effective logistics and materials management by providing a systematic approach to quality control and inspection.

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Answer:

3 one I hopeeeeee0e9e9

a. The probability of a sample having low melanin content (event A) is 0.75.

b. The probability of a sample having high moisture content (event B) is 0.25.c. The probability of a sample having low melanin content given that it has high moisture content (event A | B) is 0.48.d. The probability of a sample having high moisture content given that it has low melanin content (event B | A) is 0.4.

The probabilities, we look at the provided data. Out of the 100 skin samples, 75 samples have low melanin content (event A) and 25 samples have high moisture content (event B). The probability of event A is calculated by dividing the number of samples with low melanin content (45) by the total number of samples (100), resulting in 0.75.

Similarly, the probability of event B is calculated by dividing the number of samples with high moisture content (25) by the total number of samples (100), giving us 0.25.

The probability of event A given event B (P(A | B)), we consider the samples with high moisture content (event B), which is 25. Out of these 25 samples, 12 have low melanin content (event A). So, the probability of event A given event B is obtained by dividing 12 by 25, resulting in 0.48.

The probability of event B given event A (P(B | A)), we focus on the  with low melanin content (event A), which is 75. Among these 75 samples, 30 have high moisture content (event B). Hence, the probability of event B given event A is obtained by dividing 30 by 75, resulting in 0.4.

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Answer:

m = 13

Step-by-step explanation:

To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.

1. 7m = 91

2. (7m)/7 = 91/7

3. m = 13

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Amount = $404.01

Second Period Interest = $ 2.01.

The interest that is computed using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Different methods can be used to compute compound interest depending on the circumstance. To make the computations simpler, we may utilise the compound interest formula. We need to know the quantity and the principal in order to compute compound interest. The difference between the two is the principle.

In this problem,

Principal = $ 400

Rate(r) = 6% (annually)

Compounded monthly., n =12

Second Period of interest is the 2nd Month = \(\frac{2}{12} \ of \ a \ year = \frac{1}{6} \ of \ a \ year\).(t)

Amount Generated (A)

= \(P(1 + \frac{r}{n})^{nt}\)   = \(400(1 + \frac{6}{12 * 100})^{12*\frac{1}{6} } = 400(1 + \frac{1}{200})^{2} = 404.01\)

Amount = $404.01

Second Period Interest = 2nd Period Amount - 1st period Amount = 404.01 - 402 = $ 2.01.

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Answer:

A dilation would make them similar.  Similar is the same shape, but not necessarily the same size.  A dilation is a transformation that can make figures shrink or expand.  The other forms of transformations are rigid. They do not change the size.

Step-by-step explanation:

Answer:

20,80

Step-by-step explanation:

\(Let\ Abduls\ present\ age\ be\ x\\His\ Grandfather's\ present\ age\ = 4x\\\\Abdul's\ age\ before\ 10\ years=x-10\\His\ Grandfather's\ age\ before\ 10\ years =4x-10\\\\We\ are\ given\ that\ ,\\Abdul's\ Grandfather's\ age\ before\ 10\ years = 7 * Abdul's\ age\ before\ 10\ years\\Hence, \\4x-10=7(x-10)\\4x-10=7x-70\\-10+70=7x-4x\\60=3x\\x=20\\Hence,\\Abduls\ present\ age\ =20\\His\ grandfather's\ present\ age\ = 4*20=80\)

Answer:

Abdul's age=20 y/o

Grandpa's age=80y/o

Step-by-step explanation:

let Abdul's age be 'x'

so, grandpa's age=4x

Grandpa's age 10 yrs ago= 4x-10

according to the question, grandpa's age 1o yrs ago=7(x-10)

so, 4x-10=7(x-10)

     4x-10=7x-70

by substituting,

     70-10=7x-3x

     60=3x

     60/3=x

      20y/o=x

so, 4x=20*4=80 y/o

Based on the amount that Scott borrowed for the new TV and game system, and the interest paid, the simple interest rate is 15.7%

The simple interest rate can be found by the formula:

= Interest paid by Scott on the loan / Amount Scott borrowed x 100%

Solving for the simple interest rate gives:

= 155 / 985 x 100%

= 0.1573604060913705583756345177665 x 100%

= 0.157 x 100%

= 15.7%

This means that Scott paid 15.7% on the loan he borrowed.

In conclusion, Scott's simple interest rate is 15.7%.

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Answer:

no sisiejdirjr diendieje jdisjeidi

Answer:

awnser is b

Step-by-step explanation:

eg 2023 ........................................