helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Answer:

13.3

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

x = -1/4

x = 3

The solutions of the given quadratic equation 8x² = 6 + 22x will be x = -1/4 and x = 3 thus, option (B) and (C) is correct.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

8x² = 6 + 22x

The roots must satisfy the above equation,

8(-3)² = 6 + 22(3)

72 = 72

And,

8(-1/4)² = 6 + 22(-1/4)

8/16 = 6 - 11/2

1/2 = 1/2

Hence "The solutions of the given quadratic equation 8x² = 6 + 22x will be x = -1/4 and x = 3"

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The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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Answer:

a

Step-by-step explanation:

Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

Answer:

D&E

Step-by-step explanation:

Edge 2021

Answer:

it would be B

Step-by-step explanation:

Answer

Jhonny's  kick is more painful

Step-by-step explanation:

because kicks are more painful than punches.

If two more workers join the work that takes 180 days for 18 workers to finish, the work can be completed in 162 days.

From the question, we know that

18 workers can finish a piece of work in 180 days.

Then, 1 worker can finish the work in (18 × 180) days.

Now, if two more workers start working along with the 18 workers,

Total number of workers = 18 + 2 = 20 workers.

The total number of days needed by 20 workers = (18 × 180) / 20 = 162 days.

Hence, the total number of days for 20 workers to finish a work that can be completed by 18 workers in 180 days is 162 days.

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Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer:y=2x+15

Step-by-step explanation:

your welcome

Answer:

y=2x-15

Step-by-step explanation:

his profit would be $2 times the amount of cups he sold minus the cost of supplies, which is $15

From x- intercepts  it was possible to find the formula of the parabola: x²-1.69=0.

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:

This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.

Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:

x²+1.3x-1.3x-1.69=0

x²-1.69=0

You can check the previous result from :

the sum of the roots (S) will be 1.3-1.3=0.

the product of the roots (P) will be 1.3*(-1.3)=-1.69.

So, the formula of  the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept  informed.

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Answer: 1250

Step-by-step explanation:

Let x be the cost before vat

13/100x = 162.50

x = 162.50 x 100/13

x = 162.50 / 2.13

x = 1250

The solutions of the equation sec² x - 4 = 0 are x = π/3 + 2kπ, 2π/3 + 2kπ, 4π/3 + 2kπ, 5π/3 + 2kπ. Therefore, option d. is correct.

We start by solving for x in the equation sec² x - 4 = 0:

sec² x - 4 = 0
sec² x = 4
sec x = ±2

Recall that sec x = 1/cos x, so we can rewrite the equation as:

1/cos² x = 4
cos² x = 1/4
cos x = ±1/2

Now we need to find all values of x that satisfy cos x = ±1/2. These values are:

x = π/3 + 2kπ or x = 5π/3 + 2kπ (for cos x = 1/2)
x = 2π/3 + 2kπ or x = 4π/3 + 2kπ (for cos x = -1/2)

Combining these solutions, we get:
x = π/3 + 2kπ, 2π/3 + 2kπ, 4π/3 + 2kπ, 5π/3 + 2kπ

Therefore, the correct answer is d. pi/3 + 2k pi, 2pi/3 + 2k pi, 4pi/3 + 2k pi, 5pi/3 + 2k pi.

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Answer:

nothing

Step-by-step explanation:

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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(50 - 45) / (90 - 45) = 0.5.

The probability that the painting time of an automobile will be more than 50 minutes is 0.5 because the painting time is uniformly distributed between 45 minutes to 90 minutes.

Mathematically speaking, the probability can be calculated by subtracting the lower limit of the time range (45 minutes) from the given time (50 minutes) and then dividing it by the difference between the upper limit of the time range (90 minutes) and the lower limit of the time range (45 minutes).

So, the probability of the painting time being more than 50 minutes is: (50 - 45) / (90 - 45) = 0.5.

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Answer:

A=base x height

Step-by-step explanation:

Multiply base times height to get area. Hope this helps :)

If g is a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

g(x) = 2/3 [√6(x - 4)]

The given function is f(x)= √6x

Shrink the function f(x)= √6x by a factor of 2/3, the resulting function becomes 2/3 (√6x)

Translate the resulting function by 4 units to the left of the graph to form g(x)

g(x) = 2/3 [√6(x - 4)]

Therefore, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

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Answer:

 (b+3)+b=51

"b" is a smaller number, that is 24.

So a larger numer is 27

Step-by-step explanation:

L = b +3

L+b = 51

(b+3) + = 51

2b + 3 = 51 >> subtract 3 to both sides

2b = 48 >> divide by 2 to both sides

b = 24

Larger = b + 3= 24 + 3= 27

The proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

To determine the proportion and the standard deviation of the sample proportion for samples of size 100 from a population of size 1,000 with a proportion of 0.5, we'll follow these steps:
Identify the given values
- Population size (N) = 1,000
- Proportion (p) = 0.5
- Sample size (n) = 100
Calculate the sample proportion
The sample proportion is the same as the population proportion since we're taking a sample from the population.
Sample proportion (p') = p = 0.5
Calculate the standard deviation of the sample proportion
Use the formula: standard deviation (σ_p') = √[(p * (1-p)) / n]
- σ_p' = √[(0.5 * (1-0.5)) / 100]
- σ_p' = √(0.25 / 100)
- σ_p' = √0.0025
- σ_p' ≈ 0.05
Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

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Answer:

Explain it a little more

Step-by-step explanation:

Answer:

B. -80x + 28y - 56

D. 4(-20x + 7y - 14)

Step-by-step explanation:

8(-10x + 3.5y - 7)

= 8(-10x) + 8(3.5y) - 8(7)

= -80x + 28y - 56

= 4(-20x + 7y - 14)

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

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

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Answer:

Step-by-step explanation:

8 hundredth is ten larger that 8 thousands so Jim is correct and Lou is not right for the following reason:

8 hundredth means that the number is on the right side after the decimal

if we put it as a fraction:

8/100 and 8/1000

comparing:

take a common denominator(1000 for the two fractions)

8/100=80/1000

80/1000>8/1000

the nominator 80 is greater than 8

( this is one way to compare and prove)

Lou is wrong because on the number line 0.008 comes before 0.08

for example a number 2.08( 2 and 8 hundredth)

and 2.008 ( 2 and 8 thousandth)

ones   decimal       tenth         hundredth         thousandth  

 2            .                0                  8

 2            .                0                  0                         8

the more the number goes to the right of the decimal the smaller the fraction

When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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The solution is,

1.   a, 99%       b71%

2. 64%, 44%

3. Number of particles   0, 1, 2, 3, 4,  5, 6, 7,  8, 9, 10, 11, 12, 13, 14

frequencies:                 1, 2, 3, 12, 11, 15, 18, 10,  12, 4, 5, 3, 1, 2, 1

Relative frequencies  0.01, 0.02,0.03,0.12,0.11,0.15, 0.18,0.1, 0.12,0.04,                        0.05,0.03,0.01,0.02,0.01

A histogram is an approximate representation of the distribution of numerical data.

here, we have,

Number of particles: 0, 1, 2, 3, 4, , 5, 6, 7

Frequency: 1, 2, 3, 12, 11, 15, 18, 10

Number of particles: 8, 9, 10, 11, 12, 13, 14

Frequency: 12, 4, 5, 3, 1, 2, 1

we solve by saying that  . one of th smaples wafer is with  any particles. we get the proportion by subtracting 1 from the total  divided by 100

100-1/100

.99

at least five particles , then we can subtract the number of those with particles less than five from 100 , divided by 100

100-(11+12+3+2+1)=71/100

0.71 or 71%

b. those particles within 5 and 10 inclusive

15+18+10+12+4+5=64/100

0.64

0r 64%

five and 10 exclusively will be

18+10+12+4=44/100

0.44

44%

c. Draw an histogram. first we have frequency table first

Number of particles    0, 1, 2, 3, 4,  5, 6, 7,  8, 9, 10, 11, 12, 13, 14

frequencies:                 1, 2, 3, 12, 11, 15, 18, 10,  12, 4, 5, 3, 1, 2, 1

Relative frequencies  0.01, 0.02,0.03,0.12,0.11,0.15, 0.18,0.1, 0.12,0.04,                        0.05,0.03,0.01,0.02,0.01

Relative frequencies is derived by dividing each frequencies over the total frequencies

we can say that it is unimodal or say that it is slightly positively skewed

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