I need help with this

The Volume (v) of the Solid S whose base vertices are (0 , 0), (4,0) and (0,4) is   16/√3  .

In the question ,

it is  given that ,

the  base of the solid S is a triangular region ,

the vertices are (0 , 0) , (4 , 0) and (4 , 0) ,

and the cross - sections perpendicular to the y axis are equilateral triangle .

we know that the area of the triangle with edge "y" is (√3/4)y² ,

and the line is y = 4 - x .

So , the required volume is

V = \(\int\limits^4_0 {\frac{\sqrt{3} }{4}y^{2} } \, dx\)

V =  (√3/4) \(\int\limits^4_0\)(4 - x)² dx

V =  (√3/4)[ -(4 - x)³/3 ]⁴₀

V = (√3/4)[ -(4 - 4)³/3 + (4 - 0)³/3]

V = (√3/4) × (64/3)

V = 16/√3

Therefore , the volume of the solid S is 16/√3 .

The given question is incomplete , the complete question is

Find the volume V of the described solid S , The base of S is the triangular region with vertices (0, 0), (4, 0), and (0,4). Cross-sections perpendicular to the Y-axis are equilateral triangle .

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Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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The geometric cumulative distribution function should be used.

The geometric cumulative distribution is a discrete likelihood conveyance where the random variable demonstrates the quantity of the Bernoulli trial expected to get the primary achievement. A Bernoulli trial is an experiment that can have just two potential results, ie., achievement or disappointment. All in all, in a mathematical dispersion, a Bernoulli trial is rehashed until a triumph is gotten and afterward halted. Here we are interested in the first success in the three chances, which is completely specified with the distribution function of a geometric distribution, and because the question asked for the probability of having a hand with five cards in the same suit in one of the first three hands. Hence the correct option is the cumulative distribution function.

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The domain of the function is all positive real numbers, representing the possible diameters of the rope, while the range is all positive real numbers, indicating the potential breaking strengths of the manila rope.

The domain of the function is all positive real numbers since the diameter of a rope cannot be negative or zero. However, it is important to note that in practical terms, the diameter should also have a minimum value, typically determined by the manufacturing specifications or practical constraints.

The range of the function represents the possible breaking strengths of the manila rope. Since the function is defined as z = 8900d^2, where d is the diameter, the breaking strength (z) will always be a positive value. As the diameter increases, the breaking strength also increases, and there is no upper limit to the breaking strength. However, it is essential to consider practical limitations, such as the maximum load capacity of the material used or any physical constraints that may prevent the rope from achieving extremely high breaking strengths.

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The investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

To find the value of the (P/A,8%,145) factor, we can use the general formula for the present worth of an annuity:

(P/A, i%, n) = (1 - (1 + i)^(-n)) / i

Substituting the values given:

i = 8%

n = 145

(P/A,8%,145) = (1 - (1 + 0.08)^(-145)) / 0.08

Using a financial calculator or spreadsheet software, we can calculate the value of (P/A,8%,145) as follows:

(P/A,8%,145) ≈ 43.7276 (rounded to four decimal places)

Therefore, the correct choice for the value of (P/A,8%,145) is:

C. (P/A,8%,145) = (P/A,8%,100)(P/A,8%,45) ≈ 43.7276 (rounded to four decimal places)

Regarding the second question, to find the interest rate at which an investment will double in nine years, we can use the future worth factor formula:

(F/P, i%, n) = (1 + i)^n

We want the investment to double, so we have:

(1 + i)^9 = 2

Taking the ninth root of both sides:

1 + i = 2^(1/9)

Solving for i:

i ≈ 0.0809 or 8.09% (rounded to two decimal places)

Therefore, the investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

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Answer: Foot

Step-by-step explanation:

The point of intersection is called the foot of the perpendicular. I remember learning this in my Math class!

The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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Answer 15489 Rupees

Step-by-step explanation:

Total parts= 7+2=9 parts

total salary= 9x
taken salary for car repair= 2x/7
remaining salary= 15000 rupees

9x-2x/7= 15000
(63x-2x)/7=15000
61x/7=15000

61x=105000
x= 105000/61
x= 1721(approx)

Total salary= 9x
                   = 9*1721
                   =15489 rupees


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Value of X6 = N6 - N5. From the given realization of the Bernoulli counting process, N5 = 3 and N6 - N5 = X6. Hence, X6 = N6 - N5 = 5 - 3 = 2. The value of S is the largest value of n for which Nn = 3. From the given realization of the Bernoulli counting process, N3 = 1, N4 = 2, N5 = 3, and N6 = 5. Hence, the value of S is 5.

The value of T2 is the time at which the second success occurs. From the given realization of the Bernoulli counting process, N2 = 1. Hence, the time at which the second success occurs is T2 = 2.d) P{N2=1, Ns=3, N7-4} = P{N2=1} × P{Ns-N2=2} × P{N7-Ns=1} × P{No=4}.Using the Bernoulli counting process, the probability of a success is p = 0.2 and the probability of a failure is q = 1 - p = 0.8. Therefore, P{N2=1} = pq, P{Ns-N2=2} = p²q, P{N7-Ns=1} = pq², and P{No=4} = p³.Thus, P{N2=1, Ns=3, N7-4} = (0.2)(0.8)(0.2²)(0.8)(0.2)(0.8²)(0.2³) = 0.0016384. A Bernoulli counting process is a stochastic process that consists of a sequence of independent and identically distributed random variables, where each random variable takes the value 1 or 0 with probability p and q = 1 - p, respectively. The Bernoulli counting process is often used to model the arrival times of events that occur randomly over time. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.In this question, we are given the realization of a Bernoulli counting process, and we are asked to find various quantities associated with this process. We are first asked to find the value of X6, which is the number of successes that occur between times 5 and 6. We are then asked to find the value of S, which is the largest time at which three successes have occurred. We are also asked to find the value of T2, which is the time at which the second success occurs. Finally, we are asked to find the probability of a specific sequence of events occurring, given that the success probability is p = 0.2.To find the value of X6, we simply subtract the value of N5 from the value of N6. Similarly, to find the value of S, we look for the largest time at which Nn = 3. To find the value of T2, we look for the time at which N2 = 1. Finally, to find the probability of a specific sequence of events occurring, we use the probabilities of success and failure to calculate the probability of each event occurring, and then multiply these probabilities together. Thus, we have found the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring.

In conclusion, the Bernoulli counting process is a powerful tool for modeling the arrival times of events that occur randomly over time. By using the probabilities of success and failure, we can calculate various quantities associated with this process, such as the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.

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There are six possible interactions in a 2 × 3 factorial ANOVA. The correct option is (d) 6.

In a 2 × 3 factorial ANOVA, there are two factors, each with two levels and three levels, respectively. The number of interactions that can be observed in a factorial ANOVA is determined by the product of the number of levels of each factor.

In this case, the first factor has two levels, and the second factor has three levels.

Therefore, the number of possible interactions is given by multiplying the number of levels of the first factor by the number of levels of the second factor: 2 × 3 = 6.

Each interaction represents a unique combination of the levels of the two factors.

For example, one interaction might represent the effect of the first factor at the first level interacting with the second factor at the first level, while another interaction might represent the effect of the first factor at the second level interacting with the second factor at the third level, and so on.

Therefore, the correct answer is d. 6, as there are six possible interactions in a 2 × 3 factorial ANOVA.

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A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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it is True that the division law of exponents says that if b is a non zero number and n and m are any numbers in the exponents of b then b^m/b^n = b^(m-n)

This is the law that governs numbers that are have exponents or power.

According to the question b is the number while m and n represents the value of the exponents or the numbers for which number b is raised to their power say: b^m and b^n

The division law of exponents holds as:

=  b^m ÷ b^n

= b ^ ( m - n )

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Answer:

23

Step-by-step explanation:

8 5/8 = 69/8

Each DVD is 3/8 inches

Ignore the denominators

We have 69 and 3

69 is 23 times bigger than 3, so 23 DVD's can fit

A number line representing d>−4 would be a straight line with a solid or hollow circle at the point −4, depending on whether or not −4 is included in the solution.

If the inequality is d>−4, this means that any value of d that is greater than −4 can satisfy the inequality. For example, d=−3 or d=0 would satisfy the inequality, but d=−5 would not.

The arrow extending to the right from the circle indicates that the number line continues in the positive direction, indicating that any value of d greater than −4 is a solution. This depiction is straightforward and easy to understand, providing a visual representation of the possible solutions for the inequality.

In algebraic terms, the number line representation of an inequality can help students better understand the concept of absolute value and the importance of understanding the direction of the inequality when solving problems. It can also be useful in practical applications, such as interpreting temperature ranges or measuring distances. Overall, a number line helps visualize the concept of d>−4 by depicting all possible values of d that satisfy the inequality.

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If four eggs are selected at random, without replacement, the probability that all four are brown is equals to the 0.00005123.

Probability without replacement means no item occurred more than once. We have a group of hens lays 53 eggs in a single day. On a specific day, Number of brown eggs = 6

Number of white eggs = 47

Now, four eggs are selected at random, without replacement. We have to determine the probability that all four are brown. Let us consider an event E, such that E = all selected eggs are brown in colour. Here, total possible outcomes to select 4 eggs out of 53 = ⁵³C₄

= 53× 52×51×50/4×3×2

= 292825

Favourable outcomes for occurrence of an event E = ⁶C₄ = 6!/4!2! = 15

thus, probability that all four are brown

= 15/292825

= 0.000051233

Hence, the required probability is 0.00005122513.

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Answer:

1.25

Step-by-step explanation:

Find the average.

-5.1+7.6=2.5

2.5/2

1.25

The functions best model this scenario are:

For x < 4, C(x) = 4.25x.

For x ≥ 4, C(x) = 3.75x - 2.

Where x is the number of rental hours.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

Cost of rent kayaks per hour = $4.25

If a customer rents for four or more hours.

The cost per hour = $3.75

And,

Discount = $2 off.

Now,

C(x) = the total cost and x represents the number of rental hours.

We can make an equation as:

For x < 4,

C(x) = 4.25x

For x ≥ 4

C(x) = 3.75x - 2

Thus,

For x < 4, C(x) = 4.25x.

For x ≥ 4, C(x) = 3.75x - 2.

Where x is the number of rental hours.

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Answer:

it's the last one *25,000 J

Step-by-step explanation:

Answer:

ur welcoem

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

119 per km

Step-by-step explanation:

France population is equivalent to 0.84% of the total world population

Answer:

Step-by-step explanation:

At point D rotate 90° counter-clockwise.  The translate 3 units left and 2 unit up.

Answer:

The probability of choosing a girl is 1/2.

The probability of choosing an A student who is a BOY is 5/28.

1/2 = 14/28, and 14/28 + 5/28 = 19/28. This can be simplified to 0.68

Thus, the answer is B. 0.68

Let me know if this helps!

The required probability of choosing a girl or an A student is 0.82. Option A   is correct.

Given that,
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade.
A student is chosen at random from the class. What is the probability of choosing a girl or an A student is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Total sample space = 28
Number of girls = 14
Number of boys = 14
Number of girls A grade student  = 9

probability of a girl = 14/28 = 0.5
probability of A grader girl  = 9 / 28 = 0.32
Now the probability of choosing a girl or an A grader girl student,
= 0.32 + 0.5
= 0.82

Thus, the required probability of choosing a girl or an A student is 0.82. Option A  is correct.

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Answer:

yes

Step-by-step explanation:

Answer: \(\frac{y}{7} \geq 18\)

Step-by-step explanation:

Key things to remember:

- quotient signals dividing

- at least means greater than or equal to, so we use the greater than or equal to sign

Applying this to the problem, we can translate into a simpler sentence:

y divided by 7 is greater than or equal to 18 --> which leads us to the inequality above