I dont understand the 5 1/4 and 7 1/2 part.

\(y=-3x^2+346x-3557\)

This is a quadratic function which has its biggest value at P = (p, q) where \(q = \frac{-\Delta}{4a}\).

\(\Delta=346^2-12*3557=77032\\q=\frac{-77032}{-12}=6419.(3)\)

This means the company can make $6419.

163.79 students were surveyed.

The survey asked randomly selected students whether they preferred vanilla ice cream or chocolate ice cream. 58% of the students said they preferred vanilla ice cream, with a 5% margin of error. To calculate the total number of students surveyed, we can use the following formula:

Number of Students Surveyed = (100 - Margin of Error) ÷ (Percentage that Prefer Vanilla/100)

In this case, we get:

Number of Students Surveyed = (100 - 5) ÷ (58/100)

Number of Students Surveyed = 95 ÷ 0.58

Number of Students Surveyed = 163.79

Therefore, 163.79 students were surveyed.

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The hierarchical database model is based on a tree structure, where data is organized in a parent-child relationship. Each parent segment can have multiple child segments, but each child segment has only one parent.

In this model, data access is typically navigated from the top-level parent segment to its child segments in a hierarchical manner. The parent-child relationships provide a clear structure for organizing and representing data. However, it also means that a lack of a parent segment or a child segment is not allowed in this model.

Compared to a matrix structure, where segments can have relationships with multiple other segments, the hierarchical model is more rigid in its one-to-many relationship between parent and child segments.

However, it may pose challenges when dealing with complex or interrelated data that doesn't fit neatly into a hierarchical structure.

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The proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

How to calculate proportion?

Assumed,

mean = μ = 3500

standard deviation = σ = 200

For proportion over 4,000 grams, use this formula

P(x>4,000) = P(z>\(\frac{x-\mu}{\sigma}\))

P(x>4,000) = P(z>\(\frac{4000-3500}{200}\))

= P(z>2.5)

Look z score table for 2.5. So, z = 0.9938. Since is over so 1 - the result

= 1 - 0.9938

= 0.0062 or 0.62%

For proportion between 3,200 and 3,800 grams, use this formula

P(3,200<x<3,800) = P(\(\frac{x-\mu}{\sigma}\)<z<\(\frac{x-\mu}{\sigma}\))

P(3,200<x<3,800) = P(\(\frac{3200-3500}{200}\)<z<\(\frac{3800-3500}{200}\))

= P(-1.5<z<1.5)

= P(z<1.5) - P(z<-1.5)

Look z score table for 1.5 and -1.5. So, z for 1.5 = 0.9332 and z for -1.5 = 0.0668

= 0.9332 - 0.0668

= 0.8664 or 86.64%

Your question is incomplete, but this answer uses assumptions and general formulas that can be used.

Thus, the proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

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Answer:

44

Step-by-step explanation:

3/4×16=12

12+16(2)=44

Answer:

44 scoops

Step-by-step explanation:

create a proportion of amt of choc syrup to # scoops

1/16 ÷ 1 = 11/4 ÷ s

cross-multiply to get:

s = 16 x 11/4

s = 44 scoops

For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

Answer:

C) 5√2

Step-by-step explanation:

The particle motion in the water-sand suspension is laminar due to the relatively low settling velocity of the sand particles. The time it takes for the water to be cleared out of the sand particles is approximately 100 seconds.

(a) The particle motion in the water-sand suspension while settling in the barrel can be considered laminar. This is because the settling velocity of the sand particles is relatively low (10 mm/s), indicating a slow and smooth motion through the water. In laminar flow, particles move in ordered layers without significant mixing or turbulence. The low settling velocity suggests that the forces of gravity and viscosity dominate the particle motion, resulting in a laminar flow regime.

(b) To determine how long it takes for the water to be cleared out of the sand particles, we can use the settling velocity and the height of the barrel. Since the settling velocity is given as 10 mm/s, it would take 1 meter / 10 mm/s = 100 seconds (or 1 minute and 40 seconds) for the sand particles to settle to the bottom of the barrel.

(c) If the water is stirred in the barrel, the rate at which the sand concentration drops will depend on the intensity of the stirring and the mixing dynamics. Generally, stirring enhances the mixing and accelerates the decrease in sand concentration. The time required for the sand concentration to drop to 10% of its initial concentration will vary based on the specific conditions and parameters of the stirring process, such as the stirring speed, duration, and the initial sand concentration.

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Step-by-step explanation:

what do you mean bro???????

The value of x by using vertical angles is 4, and the measure of angle R is 34°

Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).

From the information given:

6x + 10 = 8x + 2

6x - 8x = 2 - 10

-2x = -8

x = -8/-2

x = 4

The measure of angle R = 6x + 10

= 6(4) + 10

= 24 + 10

= 34°

Therefore, we can conclude that the measure of angle R is 34°

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The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Here, we have,

we are given the following equations:

i) x-2y= 4

ii) 4x+5y= 8

iii) 6x-5y=15

iv) x+2y=0

Required:

Which system of equations has a solution of approximately (1.8, –0.9).

To find the approximate equations, substitute x and y for  1.8 and  -0.9 into all the equations respectively and check the resulting values

i) Substitute (1.8, -0.9) in x-2y= 4:

1.8 - 2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

ii) Substitute (1.8, -0.9) in 4x+5y= 8

4(1.8) + 5(-0.9) = 8

7.2 - 4.5 = 8.

2.7 ≠ 8.

iii) Substitute (1.8, -0.9) in 6x-5y=15

6(1.8) - 5(-0.9) = 15.

10.8 + 4.5 = 15

15.3 ≠ 15.

This equation has a solution that is close, therefore it is correct.

iv) Substitute (1.8, -0.9) in x+2y=0

1.8 + 2(-0.9) = 0.

1.8 - 1.8 = 0.

0 = 0.

x + 2 y = 0 has the exact value, therefore it is also correct.

The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15

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The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

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Answer:

Length of fencing is \(27\frac{1}{2}\) feet

Step-by-step explanation:

Given

\(Length = 9\frac{1}{4}\)

\(Width = 4\frac{1}{2}\)

Required

Determine the total length of fencing

What this question implies is to calculate the perimeter and it's calculated as follows;

\(Perimeter = 2(Length + Width)\)

Substitute values for Length and Width

\(Perimeter = 2(9\frac{1}{4} + 4\frac{1}{2})\)

Convert to improper fractions

\(Perimeter = 2(\frac{37}{4} + \frac{9}{2})\)

\(Perimeter = 2(\frac{37 + 18}{4})\)

\(Perimeter = 2(\frac{55}{4})\)

Open Bracket

\(Perimeter = \frac{55}{2}\)

\(Perimeter = 27\frac{1}{2}\)

Hence, the required length of fencing is \(27\frac{1}{2}\) feet

Hank's route to work has a length of approximately 21 kilometers.

Let's assume the length of Hank's route to work is dd kilometers. On Monday, Hank drove at an average speed of 70 km/h, and he arrived 11 minutes late. The time it took him to complete the journey can be calculated using the formula \text{{time}} = \frac{{\text{{distance}}}}{{\text{{speed}}}}time

Converting the 11 minutes to hours (11 minutes = \frac{{11}}{{60}} (hours), we can set up the equation \frac{d}{70} = \frac{11}{60} On Tuesday, Hank drove at an average speed of 75 km/h and arrived 11 minutes early. Using the same formula, we have

\(\frac{d}{75} = -\frac{11}{60}\)

where the negative sign indicates arriving early.

Solving the two equations, we find that d \approx 21d≈21 kilometers. Therefore, Hank's route to work is approximately 21 kilometers long.

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The probability distribution of the number of hours per day people are able to relax is constructed, and probabilities of relaxing more than 4 hours, between 2 to 6 hours, and not relaxing at all are 0.283, 0.767 and 0.068 respectively. The mean and standard deviation are 3.326 hours and 1.950 hours (approx.) respectively.

The probability distribution of X is:

X Frequency Probability

0 114                    0.068

1 156                    0.093

2 336                    0.201

3 251                     0.150

4 316                      0.189

5 231                     0.138

6 149                    0.089

7 33                    0.020

8 60                    0.036

      1676                     1.000

The probability that a person relaxes more than 4 hours per day is:

P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= 0.138 + 0.089 + 0.020 + 0.036

= 0.283

The probability that a person relaxes from 2 to 6 hours per day is:

P(2 ≤ X ≤ 6) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

= 0.201 + 0.150 + 0.189 + 0.138 + 0.089

= 0.767

The probability that a person does not relax at all is:

P(X = 0) = 0.068

The mean Mx is:

Mx = Σ(X * P(X))

= 00.068 + 10.093 + 20.201 + 30.150 + 40.189 + 50.138 + 60.089 + 70.020 + 8*0.036

= 3.326 hours

The standard deviation Ox is:

Ox = sqrt[Σ(X^2 * P(X)) - Mx^2]

= sqrt[(0^20.068)+(1^20.093)+(2^20.201)+(3^20.150)+(4^20.189)+(5^20.138)+(6^20.089)+(7^20.020)+(8^2*0.036) - 3.326^2]

= 1.950 hours (approx.)

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Answer:

Above person is correct .

But the circumference is 47.1 cm, not 47.12 cm

Answer: The other leg is 7 m, and the hypotenuse is 7√2 m.

Step-by-step explanation:

This is just a rule that in all cases, the two legs are equal and the hypotenuse is equal to the length of a leg times the square root of 2.

Hope this helps :)

Answer:

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

Step-by-step explanation:

The discriminant of the quadratic equation g is negative.

In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.

When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).

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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

it is 35 degrees

Step-by-step explanation:

I am sure of it

The measure of the angle indicated is 35 degrees

Protractor is a mathematical measuring instrument use to measure angles. Therefore, A protractor is in the shape of a semi circle.

A protractor has degrees marked clockwise from 0° to 180° in the outer scale and anti-clockwise from 0° to 180° in the inner scale.

From the blue lines indicated above the angle was marked at 0 degrees and ended in 35 degrees,.

Therefore, the angle measure of the angle is 35°

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Joseph left 469 ounces of candy, according to the given question.

What do you mean by candy?

A sugar-based confection that frequently contains filling and flavoring: a slice of such a confection is called candy. Something that has a lighthearted or frivolous appeal and visual delights.

According to data in the given question,

We have:

Total ounces of candy = 714

Number of candy he shared = 245

Now, we need to determine the candy he has left,

= Total number of candy - Number of shared candy

= 714 - 245

= 469

Therefore, he left 469 ounces of candy.

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Answer: 83r^2 - 59 + 60

Step-by-step explanation:

R^2 - 59R - 82r^2 + 60

= 83r^2 - 59 + 60

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The solution to this system of equations is dependent.

Dependent matrix is a matrix where one or more rows can be expressed as a linear combination of the other rows. This means that the rows are not linearly independent, and there is redundancy in the information they provide.

A dependent matrix has less than full rank, which means that the rank of the matrix is less than the number of rows or columns. In a dependent matrix, one or more variables can be expressed in terms of the other variables, and the system of equations represented by the matrix has infinitely many solutions.

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Answer: 1. The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number. The additive inverse property says if you add a number and its additive inverse, then the sum is zero.

For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.

When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.

Answer:

Answe is D

Step-by-step explanation:

The zero doesn't mean any sense when it comes to decimal..

Answer:

i think its D

Step-by-step explanation:

27.42000 > 27.42000 is wrong because they're equal.

correct answer:

27.42000 = 27.42000

hope this helps!

The prime multiples of 5 is number 5

The multiples of 5 are 1, 5.

The prime numbers are the numbers who can be divided only by 1 and itselves.

First we need the multiplies of 8

And then find their factors, if the number of factors is exactly two( that is 1 and the number itself) then it is prime.

The factors of 1 is 1

The factors of 5 are 1 and 5

The numbers which have only two factors are prime.

5 [s the prime multiples of 5

Therefore, the number 5 is the only prime number multiple of 5

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Answer:

1 +4

Step-by-step explanation:

-1+2= 1

-2-2=-4

1--4=1+4