If a 5 and b=4, then 2a +b=

Answer: 45:18 & 35:10, B & C

Step-by-step explanation:

In the question, it says a student-to-teacher ratio so that would eliminate A. Then you would divide each answer by 5 and 2 and see if it is divisible.

For Example:

45/5 and 18/2 you would get 9 and 9

35/5 and 10/2 you would get 7 and 5

10/5 and 7/2 you would get 2 and a decimal/fraction meaning it is not equivalent

So your answers would be B & C

(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.

(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.

Thus, substituting the given values, we get:

A = pi * (5mm)^2 = 78.54 mm^2

v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)

Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))

To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:

Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s

Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.

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Answer:

vertex = (1, 2 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠  0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = x² - 2x + 3 ← is in standard form

with a = 1, b = - 2 , then

x = - \(\frac{-2}{2}\) = 1

Substitute x = 1 into the equation for corresponding value of y

y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex = (1, 2 )

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

Answer:

2

Step-by-step explanation:

What he needs is \(1\frac{2}{3}\) cups of almonds, so let's convert it into a mixed number by multiplying the denomiator by 1 and add it to the numerator, giving us \(\frac{5}{3}\).

So, what Oscar need is \(\frac{5}{3}\) cups of almonds

However, the amount of almond per package is  \(\frac{5}{6}\)

To find out how many package he needs, we divide what he needs by the amount of almond per package like this:

\(\frac{5}{3} \div \frac{5}{6}\)

When dividing by a fraction, always convert it into a multiplication by flipping the divisor \(\frac{5}{6}\) to be \(\frac{6}{5}\)

Then, the equation will become:

\(\frac{5}{3}\) × \(\frac{6}{5}\) = \(\frac{30}{15}\) , which is also equals to 2 because 30 divided by 15 is 2.

Therefore, Oscar should by 2 packages of almonds.

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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Answer:

3-1/6

Step-by-step explanation:

1-2/3 *4 = 20/3 = 6-2/3

Now subtract 3-1/2 from that and you will now get 19/6 or 3-1/6

Then your new answer it 3-1/6

A team that controls decisions about and execution of a complete range of tasks, including acquisitions, operations, quality control, maintenance, and shipping, is known as a cross-functional team. This type of team consists of individuals from different functional areas or departments within an organization who come together to work collaboratively on specific projects or goals.

Cross-functional teams are designed to break down silos and foster cooperation and communication between different departments or functions. By including representatives from various areas, such as finance, marketing, operations, and logistics, cross-functional teams bring together diverse perspectives, expertise, and skills to address complex issues and achieve common objectives.

These teams are responsible for making decisions related to their assigned tasks, executing plans, and ensuring the successful completion of the project or initiative. Their comprehensive range of responsibilities allows for greater efficiency, coordination, and integration across different functions, leading to improved outcomes and performance.

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The Transportation Planning Process involves goal setting, data analysis, scenario development, and evaluation/selection of alternatives.

Travel forecasting is the process of estimating future travel demand and patterns. It involves analyzing historical data, developing models, and making predictions for future transportation needs. The steps in travel forecasting include data collection, trend analysis, model development, forecasting, validation, and refinement. Inputs for each step can include historical travel data, socioeconomic factors, and transportation network information. Outputs include forecasts of travel demand represented as estimates, maps, or visualizations.

A link performance function is a mathematical representation of how transportation links perform with varying demand, playing a crucial role in forecasting. User equilibrium and system optimal are route choice formulations that differ in individual vs. network-wide optimization. The transportation planning process involves goal setting, data analysis, problem identification, alternatives evaluation, plan development, implementation, and monitoring/evaluation.

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Dée Trader's rate of return on her investment in Internet Dreams, considering the share price decrease and the interest expense, is 8.5%.

Dée Trader purchased 300 shares of Internet Dreams at $40 per share, resulting in an initial investment of $12,000 (300 shares * $40). However, since she borrowed $4,000, her out-of-pocket investment is $8,000 ($12,000 - $4,000).

At the end of the year, the share price falls to $30 per share. The market value of her investment is now 300 shares * $30, which equals $9,000.

Now, let's calculate the interest expense on the borrowed amount. The interest rate is 8%, so the interest expense for the year is 8% of $4,000, which equals $320.

To determine the net profit or loss, we subtract the initial investment and the interest expense from the market value of the investment. In this case, the net profit is ($9,000 - $8,000) - $320, which equals $680.

Finally, we can calculate the rate of return by dividing the net profit by the initial investment and expressing it as a percentage. The rate of return is ($680 / $8,000) * 100, which equals 8.5%.

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Answer:

yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

the result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

To determine the number of solutions for the system Ax = b, where b = [2, 4, 6]^T, we need to consider the matrix A and its properties. The given vector b is a column vector with 3 elements, which suggests that the matrix A has 3 rows. Let's assume A is an m x n matrix, where m is the number of rows and n is the number of columns.

Step 1: Set up the system
We have Ax = b, where A is an m x n matrix and b is a 3x1 column vector.

Step 2: Determine the rank of A and the augmented matrix [A | b]
To find the number of solutions, we need to calculate the rank of matrix A (denoted as rank(A)) and the rank of the augmented matrix [A | b] (denoted as rank([A | b])).

Step 3: Compare the ranks
Now, we need to compare the ranks of A and [A | b]. There are three possible scenarios:

a) If rank(A) = rank([A | b]) < n, the system has infinitely many solutions.
b) If rank(A) = rank([A | b]) = n, the system has a unique solution.
c) If rank(A) < rank([A | b]), the system has no solution.

Since we do not have the matrix A, we cannot determine the exact number of solutions for the system Ax = b. The number of solutions will depend on the properties of matrix A and its rank compared to the rank of the augmented matrix [A | b].

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Answer:

A) 80%

B) Non-Fiction = 4,800 books Fiction = 1,200 books

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answers:

a) 80% nonfiction

b) 1200 fiction, 4800 nonfiction

=========================================

Explanation:

part (a)

We only have two choices: fiction or nonfiction

If 20% are fiction, then 100% - 20% = 80% are nonfiction.

The two percentages 20% and 80% add to 100% to represent all the books.

---------------------

part (b)

20% = 20/100 = 0.20

20% of 6000 = 0.20*6000 = 1200

we have 1200 fiction books

6000-1200 = 4800

and we have 4800 nonfiction books

Note how

80% of 6000 = 0.80*6000 = 4800

which helps confirm part (a)

The length of the segment BE is 2 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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Answer: only x=3 is a solution and only x=1 is an extraneous root

For the given expression (x/x-1) - (3/x) = 1/x-1 both x=3 and x=1 are solutions. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is  (x/x-1) - (3/x) = 1/x-1. Check the solution of the expression,

(x/x-1) - (3/x) = 1/x-1

( 3 / 3 - 1 ) - ( 3 / 3 ) = 1 ( 3 - 1 )

( 3 / 2 - 1 ) = 1 / 2

1 / 2 = 1/2

For x = 1 the value is the same.

Therefore, both 3 and 1 are solutions to the given formula (x/x-1) - (3/x) = 1/x-1.

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Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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The required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

To indicate their position, all rational numbers can be plotted on a number line. Every point on the number line indicates how many units a number is away from zero and in which direction.

As per the question, the negative 3.5 placed on the number line is 3.5 units to the left of zero, and the negative 1.5 placed on the number line is 1.5 units to the left of zero. The number zero is the most essential position on the number line. All of the other locations on the number line are predicated on zero.

Thus, the required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

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To find the probability that a randomly selected patient is 0-12 years old given that the patient suffers from knee pain,

we need to use conditional probability.The conditional probability formula is:P(A|B) = P(A ∩ B) / P(B)where P(A|B) denotes the probability of A given that B has occurred. Here, A is "patient is 0-12 years old" and B is "patient suffers from knee pain".

Thus, the probability that a randomly selected patient is 0-12 years old given that the patient suffers from knee pain can be expressed as:P(0-12 years old | knee pain) = P(0-12 years old ∩ knee pain) / P(knee pain)The joint probability of 0-12 years old and knee pain can be busing the multiplication rule:P(0-12 years old ∩ knee pain) = P(0-12 years old) × P(knee pain|0-12 years old)where P(knee pain|0-12 years old) is the probability of knee pain given that the patient is 0-12 years old. We are not given this value, so we cannot calculate the joint probability.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

The car will catch up with cyclist in 3 hours

Time refers to the interval in seconds , minutes or hours it took for an event to take place

Information given for the question include

A cyclist has average speed of 9 miles per hour

A car leaves has average speed of 21 miles per hour

following same route when

The question is asking at what time will the distance be equal if the cyclists have advantage of 4 hours already

Calculation of distance covered by the cyclist

average speed = distance / time

distance = 9 mph *  (x + 4)

Calculation of distance covered by the car

average speed = distance / time

distance = 21 mph *  x

equating both gives

9 mph *  (x + 4) = 21 mph *  x

9x + 36 = 21x

36 = 21x - 9x

12x = 36

x = 3

hence the car will meet the cyclist in 3 hours

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Answer:

there will be about 115 customer

Step-by-step explanation:

the y intercept is 2.5

(0,2.5)  (100 ,35)

the slope is (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = .325

y = mx+b

y = .325x+2.5

let y =40  for 40 cars in all the spot

40 = .325 x + 2.5

subtract 2.5

37.5 =.325 x

divide by .325

37.5 /.325 = x

115.4 = x

there will be about 115 customer

Answer:

She has $225 dollars so far.

Step-by-step explanation:

To determin the answer, its pretty simple:

take 250 and subtract 25 from 250 (250 - 25).

This would give you $225 dollars. To check, add 25 to $225 and you would get $250. $225 is your final answer.

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer: x=4

Step-by-step explanation:

Step 1. turn you y into a 0

0=4x-16

Step 2. get x alone

a.

0  =  4x  -16            

+16           +16

*what you do to one side of the equal sign you must to the other.

b.

0 + 16 = 4x

(divide by 4)  16 = 4x  (divide by 4)

*divide by 4 to get rid of the 4 next to the x, remeber to do both sides of the equal sign

4 = x

Answer:

the mean is 5

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: incorrect

Looking at choice A, it says the interval is from -3<x<-2. This means we have to find x=-3 and x=-2. On the graph, that interval is above the x-axis, so it is positive, not negative.

B: incorrect

Looking at choice B, it says the interval is from 2<x<3. This means we have to find x=2 and x=3. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: correct

Looking at choice C, it says the interval is from 4<x<5. This means we have to find x=4 and x=5. On the graph, that interval is under the x-axis, so it is negative.

Therefore, C is the correct answer.

SOLUTION

TO DETERMINE

84 as a product of primes.

Use index notation to write the number

EVALUATION

Here the given number is 84

We prime factorise the given number

84 = 2 × 2 × 3 × 7

Number of 2's = 2

Number of 3's = 1

Number of 7's = 1

Rewriting the given number in index form we get

━━━━━━━━━━━━━━━━

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2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

The value of k for the given relation of the function represented by attached graph is equal to 3.

Two function f(x) and g(x) .

Relation between f(x) and g(x) is equal to,

g ( x ) = f ( x ) + k

From the attached graph of the function f(x) and g(x) we have,

Slope of both the function f(x) and g(x) is equal to

Slope of f(x) = ( 2 -1 )/( 0 - (-3))

                    = 1/3

Slope of g(x) = (5 - 4)/ ( 0 - (-3))

                     = 1/3

Both the lines are parallel to each other with different value of intercept.

y-intercept of f(x) is equal to 2.

y-intercept of g(x) is equal to 5.

As g(x) = f(x)  + k

Substitute the value we have,

⇒ 5 = 2 + k

⇒ k = 3

Therefore, for the given attached graph the value of k is equal to 3.

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The above question is incomplete, the complete question is:

If g ( x ) = f ( x ) + k , what is the value of k using the attached graph of the function?