If a(x) = 2x - 4 and b(x) = x 2, which of the following expressions produces a quadratic function?
i. (ab)(x)
ii. (ab)(x)
iii. (a−b)(x)
iv. (a+b)(x)

Answer:

The answer is 29

Answer: 29

Step-by-step explanation: Tyler age 9x3 =27 two years more than 3times which is 29

Answer:

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is  19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55

The function c(t) = c(t) = c(t), left parenthesis, t, right parenthesis models the volume of the music (in dB) that Bulan hears t minutes after the ice cream truck arrives in her neighborhood. In this function, t is entered in radians.

The function c(t) represents how the volume of the music changes over time as t increases. The exact shape of the function depends on various factors like the distance between Bulan and the ice cream truck, the truck's speaker system, and any other interfering sounds in the neighborhood.

By analyzing the function c(t), one can determine the maximum and minimum volume levels Bulan experiences as the truck moves around her neighborhood. Additionally, the periodic nature of the function suggests that the music will repeat itself after a certain time interval.

In conclusion, the function c(t) = c(t) = c(t), left parenthesis, t, right parenthesis provides a mathematical representation of the volume of the music that Bulan hears as a function of time. This function helps us understand the changing volume levels and the periodicity of the ice cream truck's music in her neighborhood.

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Answer: Your welcome!

Step-by-step explanation:

Using a greater scale, 0-100, makes the data look more spread out, indicating a weaker relationship. Using a smaller scale, 0-10, makes the data look more clustered together, indicating a stronger relationship.

Answer:

1. 7 = 35

The tomato plant will be 35 cm tall after 7 weeks.

2. I don't this is a realistic demonstration of a tomato plant growth, because it is in a table

3. We could use variable h to represent the height of a tomato plant, and I chose this variable because height starts with the letter h.

4. We could use variable w to represent the number of weeks the plant has grown, and I chose this variable because weeks starts with the letter w.

5. 5w = h

6. 5*20 = 100

The tomato plant will be 100 cm tall after 20 weeks.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest?

A sample statistic is is any quantity from the sample of a population.

We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.

Thus, the correct option is the last one.

The rational number subset that the number 16.8 belongs is given as follows:

I. Rational Numbers.

The rational numbers are the set of numbers that can be expressed as a ratio of two integers, where the denominator is not zero. The rational numbers are usually denoted by the symbol Q.

The subsets are given as follows:

16.8 is a decimal number, hence it belongs only to the rational number set, not to natural, whole and integer numbers.

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Answer:

C

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.

Find the slope of the given line

If we put the line 2x - 5y = 35 into the y = mx + c form, the coefficient of x (m) is the slope.

                           since     2x - 5y = 35

                               ⇒              5y = 2x - 35

                                                   y = ²/₅ x - 7

                  ∴      the slope of the line is ²/₅

Identify the slope of the parallel line

When two lines are parallel, they have the same slope.

              ∴ the slope of the parallel is also ²/₅  

Determine the equation of the parallel line

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line where (x₁ , y₁) is (5,−2) :    

                             y - (-2)  =  ²/₅   (x - 5)

                              y + 2 = ²/₅   (x - 5)

If we were to write the equation in the same form as the line that was given:

                                 since  y + 2 = ²/₅   (x - 5)

                                                  y =  ²/₅  x - 2 - 2

                                      y -  ²/₅  x  = - 4      [multiply through by 5]

                                         5y - 2x = -20

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2

Squaring a number → output is always positive

\(a(x)=3|x|\)

Domain = all real numbers

Range = all positive numbers and zero

\(b(x)=3x^2\)

Domain = all real numbers

Range = all positive numbers and zero

Answer:

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

The measure of the angle is 19.38°.

Step-by-step explanation:

An angle is a supplement of another angle when its sum equals 180 degrees. In this case:

\(\alpha + \beta = 180^{\circ}\)

And according to the statement:

\(\beta = 7\cdot \alpha + 25^{\circ}\)

Where:

\(\alpha\) - Angle, measured in degrees.

\(\beta\) - Supplement, measured in degrees.

The following system of equations is formed:

\(\alpha + \beta = 180^{\circ}\)

\(7\cdot \alpha - \beta = -25^{\circ}\)

The solution of the system is \(\alpha \approx 19.38^{\circ}\) and \(\beta \approx 160.63^{\circ}\). And finally, the measure of the angle is 19.38°.

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

\(= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}\)

= 3.6 hours

multiply the height x the length x the width to find the volume of a room (or another 3d object)

The equivalent ratios are: (1, 2), (2, 4), and (3, 6)

The graph can be plotted on a coordinate grid as shown in the diagram attached below.

Recall:

Let x = number of books

y = cost (dollars)

Using any of the ordered pairs from the table, say, (7, 14), find k:

k = y/x = 14/7 = 2

Write the equation by plugging in the value of k into y = kx

y = 2x

Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:

When x = 1:

y = 2(1) = 2 --> (1, 2)

When x = 2:

y = 2(2) = 4 ---> (2, 4)

When x = 3:

y = 2(3) = 6 ---> (3, 6)

The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.

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Approximately 29.2% of the tic tacs in the container are yellow. To interpret this percentage, we can say that for every 100 tic tacs in the container, around 29 of them are yellow.

To find the percentage of yellow tic tacs in the container, we can use the formula:

Percentage = (Number of Yellow Tic Tacs / Total Number of Tic Tacs) x 100

In this case, the number of yellow tic tacs is given as 73, and the total number of tic tacs is 250. Substituting these values into the formula, we get:

Percentage = (73 / 250) x 100

To simplify the calculation, we can divide both the numerator and denominator by 5:

Percentage = (73 / 5) / (250 / 5) x 100

= 14.6 / 50 x 100

= 0.292 x 100

= 29.2

Therefore, the percentage of yellow tic tacs in the container is 29.2%.

It's important to note that when dealing with percentages, it's common practice to round to a certain number of decimal places or use significant figures. In this case, the percentage was rounded to one decimal place. Depending on the context or specific instructions, the rounding may vary.

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The order of visit for DFS and BFS will differ based on the structure of the graph or tree and the starting node. DFS will typically visit nodes in a deeper order, while BFS will visit nodes in a breadth-first order.

Both  algorithm depth-first search and algorithm breadth-first search are used to traverse or search a graph or tree data structure. The difference between them lies in their traversal strategy.
Depth-first search (DFS) starts at a root node and explores as far as possible along each branch before backtracking. It follows a content-loaded algorithm, meaning that it prioritizes exploring deeper into the structure before considering other branches. In terms of visit order, DFS starts at the root node, then moves to its first child node, and continues to explore its descendants until it reaches a leaf node. Once it has visited all descendants of the current node, it backtracks to the previous node and repeats the process until it has visited all nodes.
On the other hand, breadth-first search (BFS) starts at the root node and explores all the neighboring nodes at the current depth level before moving on to the next depth level. It follows a breadth-first algorithm, meaning that it prioritizes exploring all nodes at a given depth level before moving on to deeper levels. In terms of visit order, BFS visits all nodes at a given depth level before moving on to the next level.

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Answer:

y = 12/11x + 13

Step-by-step explanation:

Slope: (-23-37) / (-33-22) = -60/-55 = 12/11

b = 37 - (12/11)(22) = 13

The dependent variable is Muscle mass.

An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.

She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.

Given information,

We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.

This implies that Muscle mass is a dependent variable.

Therefore, The correct option is option B.

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Incomplete Question:

an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?

Answer:

y = 5x + 3

Step-by-step explanation:

See attached image

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: \(u_{x x}+u_{y y}=0\)

(1) \(u=e^{-x} \cos y-e^{-y} \cos x\)

Differentiate with respect to x as follows:

\(u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x\)

Differentiate with respect to y as follows:

\(u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x\)

Supplement the values in the given Laplace equation.

\(e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0\)

The given function in this case is the solution to the given Laplace equation.

(2) \(u=\sin x \cosh y+\cos x \sinh y\)

Differentiate with respect to x as follows:

\(u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y\)

Differentiate with respect to y as follows:

\(u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y\)

Substitute the values to obtain:

\(-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0\)
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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The mean and standard deviation of the probability distribution is:

Y will be 0.4899 and 0.699 respectively.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

According to the given question,

From the given probability distribution, it should be noted that the probability distribution for y will be:

Y                   0        1.         2

Probability 0.63.   0.25.   0.12

The mean of Y will be:

Mean = (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

Mean = 0 + 0.25 + 0.25

Mean = 0.49

The variance will be 0.4899.

Therefore, the standard deviation will be:

standard deviation = ✓0.4899

Standard Deviation = 0.699.

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Marisa can expect to make a profit with her company as per the given information. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair.

Based on the profit analysis, Marisa can expect to make a profit with her company. The calculation and expiation are provided as follows:
Profit Calculation:

Marisa wants to make a profit of $5.00 on each pair of earrings. This means that for every pair sold, she will earn $5.00.
Cost of Repair:

Marisa has improved the quality control, resulting in only 1 pair in 50 need to be returned for repair. The cost of repairing each pair is $60.
Profit Analysis:

Let's analyze the profit situation.
  - For every 50 pairs sold, one pair will need repair, costing Marisa $60.
  - However, for the remaining 49 pairs, she will earn $5.00 profit on each, totaling $245.00 ($5.00 x 49).
  - So, the total profit from the 49 pairs will offset the cost of the one pair that needs repair.
Based on the profit analysis, Marisa can expect to make a profit with her company. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair. Therefore, her company can be considered profitable.

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Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

4+x/7=2

-4       -4

x/7=-2

*7    *7

x=-14

the estimated quotient of -37 ÷ 5 is -7.4The estimated quotient is almost equal to the actual quotient of -7.8, which means the answer is reasonable.

Find the quotient of –37.44 ÷ 4.8:The quotient can be calculated as follows:-37.44 ÷ 4.8 = -7.8Therefore, the quotient of -37.44 ÷ 4.8 is -7.8Check the reasonableness of the quotient by estimating:

-37.44 ÷ 4.8 = -7.8

So, the quotient is -7.8.

To check the reasonableness of the answer, we can estimate the division by rounding the numbers:

-37.44 is approximately equal to -37.4

4.8 is approximately equal to 5

Rounding these numbers, we have:

-37.4 ÷ 5

Now, performing the division:

-37.4 ÷ 5 ≈ -7.48

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