this is the question ​

Answer:

• d and f

Step-by-step explanation:

• take an example of;

→ ax + by + 1

\(.\)

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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The correct representation of the function is h(x) = 0.08x

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

                                 = 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

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Answer:

Slope is 1/3

Step-by-step explanation:

This is because the line is positive (moving upwards), and it moves up 1 unit and to the right 3 units. That means if you write it in the form of rise/run, where rise is the up or down movement and run is the left or right movement, 1 will be on top and 3 will be at the bottom.

Bonus: The line is y = 1/3x -5 (where 1/3 is slope and -5 is the y-intercept).

Hope this helps :)

The function f(x) appears to be a polynomial function.

Based on the description of the graph, the function f(x) does not appear to be exponential, logarithmic, or rational.

Exponential functions typically exhibit a constant rate of change as x increases or decreases, resulting in a curve that either exponentially increases or decreases. The graph described does not match this pattern, as it increases in some areas and decreases in others.

Logarithmic functions have a characteristic shape with a vertical asymptote and a slow growth or decay. The given graph does not exhibit this behavior.

Rational functions are defined as the ratio of two polynomials, and their graphs often have vertical and horizontal asymptotes. However, the description does not mention any asymptotes, suggesting that the function is not rational.

The most suitable choice based on the given information is polynomial. Polynomial functions are characterized by having non-negative integer exponents and can exhibit various shapes, including increasing or decreasing trends. The description mentions that the graph is increasing in quadrant 3 and quadrant 4, indicating that the function could be a polynomial.

Without additional information or the specific equation of the function, it is challenging to determine the exact degree or form of the polynomial function.

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There are 0.0422 square microns is the size of the transistor 13 years ago.

According to Moore's Law, it states that the number of transistors on a microchip doubles every two years.

The area of a transistor remains constant over time, we can apply Moore's Law to estimate the size of the transistor 13 years ago.

Let the initial size of the transistor be "x" square microns.

According to Law, the size of the transistor after 2 years would be 2x square microns, after 4 years it would be 4x square microns, after 6 years it would be 8x square microns so on.

Since 13 years have passed, the number of times the size of the transistor doubled in that period. Doubling occurs every 2 years, there have been 13/2 = 6 doublings.

Starting from the initial size x, after 6 doublings, the size of the transistor would be 2⁶ times x = 64x square microns.

Given that the transistor is currently 2.7 square microns, we can set up the following equation:

64x = 2.7

\(\(x = \frac{2.7}{64} \\= 0.0422\)\) square microns

Therefore, approximately 0.0422 square microns is the size of the transistor 13 years ago (to the nearest thousandth of a square micron).

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

When point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

Point P is on line segment OQ

The length of the line OQ = The length of the line PO + The length of the line PQ

The length of the line OQ = 2x

The length of the line OP = x

The length of the line PQ = 10

Substitute the values in the equation

2x = x+10

2x - x = 10

x = 10

Then the length of OQ is

2x = 2×10

= 20 units

Hence, when point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

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Step-by-step explanation:

(1/2)³ = 1³/2³ = 1/8

that is all there is to it.

The following statements is not always true is that a 95% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 99% option D.

Assuming a given standard deviation, it is described as the sampling distribution that follows a roughly normal distribution. estimating the population standard deviation's confidence interval:

We are aware that significance level = confidence level - 1.

Given this, a null hypothesis can only be ruled out at a 5% level of significance.

A null hypothesis cannot be ruled out at the 5% level of significance unless the parameter's hypothesis value is contained within a 95% confidence range.

If the anticipated value is included in the 95% confidence interval, a hypothesis test at the 0.05 level will almost never succeed in rejecting the null hypothesis.

So, a null hypothesis can only be disproved at the 5% level of significance if and only if a 95% confidence interval contains the parameter's postulated value.

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They continue moving at this same speed, covering 30 km in 18 minutes. They traveled 180.36 km in 1 hour and 48 minutes.

If Michael and Themba travel 30km in 18 minutes, we can calculate their speed as follows:

Speed = \(\frac{distance}{time}\) = \(\frac{30 km}{18 minutes}\)

Simplifying this, we get:

Speed = 1.67 km/min

To find out how far they will travel in 1 hour 48 minutes, we first need to convert this time into minutes:

1 hour 48 minutes = 60 minutes + 48 minutes

1 hour 48 minutes = 108 minutes

Now we can use the speed to calculate the distance they will travel:

Distance = Speed x Time

Distance = 1.67 km/min x 108 minutes

Distance = 180.36 km

Therefore, Michael and Themba will travel approximately 180.36 km from Cape Town to Johannesburg.

The complete question is:-

Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this constant speed.how far will they have travelled in 1 hour 48 minutes​

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This inequality ensures that the total number of tables and chairs sold in a day is not more than the maximum number of pieces of furniture that can be shipped by the store.

What did we assume?

Let's assume the store sells t tables and c chairs. The constraint states that the store can ship at most 17 pieces of furniture each day. Therefore, the total number of pieces of furniture sold (t + c) must be less than or equal to 17.

So the inequality that represents the constraint is:

t + c ≤ 17

This inequality ensures that the total number of tables and chairs sold in a day is not more than the maximum number of pieces of furniture that can be shipped by the store.

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Answer:

  16 mph

Step-by-step explanation:

You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.

The relation between time, speed, and distance is ...

  t = d/s

If we let b represent the boat speed, the two identical times give the relation ...

  28/(b -2) = 36/(b +2)

  28(b +2) = 36(b -2) . . . . cross multiply

  28b +56 = 36b -72 . . . . eliminate parentheses

  128 = 8b . . . . . . . . . . . . add 72 -28b

  16 = b . . . . . . . . . . . . divide by 8

The speed of the boat is 16 mph.

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

According to the given expressions, there was used the multiplication property for inequalities because there's being multiplied the number 61 on both sides.

Answer:

Step-by-step explanation:

1.  The equation (-2x + 4y = 3) was supposed to be the product of (-x + 2y = 3) and 2.  But the correct result is:  (-2x + 4y = 6).

2.  The sum of (2x-5y=-3) and (-2x+4y=3) is NOT (-9y = -9).  It is (-y = 0).  But even this is useless since from point 1, the second equation is incorrect.  There are actually two errors in this step.  

  a) -5y + 4y = -y, not -9y

  b)  -3 + 3 = 0, not -9  

3.  Re-Do the problem

        2x - 5y = -3

        -x + 2y = 3

    -------------------------

        2x - 5y = -3

      -2x + 4y = 6     [Multiply by 2 and add to the first]

                -y   = 3

y = -3

If y = -3, then 2x - 5y = -3 becomes:

2x - 5(-3) = -3

2x + 15 = -3

2x = -18

  x = - 9

The solution is (-9,-3)

See the attachment

Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.

The scatter plot is a manner in which data is presented as dots on a cartesian axes, The line of best fit is a description of the data that is presented in the scatter plot.

Hence, Marta is incorrect because Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.

Missing parts;

Marta believes that the equation of the line of best fit for the scatterplot below is y=-5/9x+23/9. Which statement best summarizes why Marta is likely incorrect?

Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.

Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.

Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.

Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.

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Answer:

128, -512, 2048

Step-by-step explanation:

the next term is calculated by multiplying the previous term by -4

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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Answer:  The slope is 0

Step-by-step explanation:

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

Y:  9 - 9 = 0

x: -7-2 =   -9

0/-9= 0  

wAnswer:

e

Step-by-step explanation:

Answer:

5 games

Step-by-step explanation:

5(2.5)=12.50

12.50+2=14.50

Answer:

5

Step-by-step explanation:

We are at the bowling alley and we know that they are offering a special. Every game costs $2.50 and the shoe rentals are $2. We know that by the end of the day, you spend $14.50 dollars in total.

We need to create an expression to solve this question, since every game is $2.50, make the variable x next to that.

$2.50x

Now we know that the shoe rental is $2 extra dollars, therefore we need to add 2 dollars separately.

$2.50x + $2

Now our total is $14.50, therefore :

$2.50x + $2 = $14.50

Now we have an expression, let's solve for x by isolating it.

$2.50x + $2 = $14.50

Subtract 2 from both sides :

$2.50x = $12.50

Divide both sides by $2.50 :

x = 5

Therefore, you played 5 games in total.

The standard deviation formula is derived from the variance formula, which is calculated by finding the sum of the squared deviations of each data point from the mean.

The standard deviation is simply the square root of the variance. This is because the variance is expressed in squared units, and the standard deviation is expressed in the original units of the data.

The equation used in the derivation of standard deviation is the formula for variance, which is given by:

Variance = ∑(x - μ)² / n

Where x is the individual data point, μ is the mean of the data set, and n is the number of data points in the set.

The standard deviation formula is simply the square root of the variance formula. The standard deviation formula is given by:

Standard deviation = √(Variance)

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Minimax Regret Approach takes place when the decision chosen is the one corresponding to the minimum of the maximum regrets.

In the Minimax Regret Approach, decisions are evaluated based on their maximum possible regret. It aims to minimize the potential regret associated with a decision by selecting the option that corresponds to the minimum of the maximum regrets.

In decision-making scenarios, individuals often face uncertainty about the outcomes and have to choose from various alternatives. The Minimax Regret Approach provides a systematic method for evaluating these alternatives by considering the regrets associated with each decision.

To apply this approach, the decision-maker identifies the potential outcomes for each decision and determines the corresponding payoffs or losses. The regrets are then calculated by subtracting each payoff from the maximum payoff across all decisions for a particular outcome. The decision with the smallest maximum regret is chosen as it minimizes the potential loss or regret.

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Answer:

Step 1: Obtain the mean and standard deviation of the weights of packs of chewing gum. The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.- grams. Step 2: Obtain the z-score of the randomly selected pack of gum. The z-score of the randomly selected pack of gum is 3.11. Step 3: Determine which of the following statements is true: The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations The weight of this pack Of gum is heavier than the mean weight by 3.11 standard deviations The weight of this pack Of gum is lighter than the mean weight by 2.4 standard deviations The weight of this pack Of gum is heavier than the mean weight by 2.4 standard deviations

Answer:

\(Maintenance = 55\%\)

Step-by-step explanation:

Given

\(Time = 40\ hours\)

\(Register = 15\%\)

\(Greetings = 30\%\)

Required

Percentage of time spent in maintenance;

From the given parameters,She spends the rest of her time in maintenance;

This implies that

\(Register + Greetings + Maintenance= 100\%\)

Substitute 15% for Register and 30% for Greetings

\(15\% + 30\% + Maintenance= 100\%\)

\(45\% + Maintenance= 100\%\)

Subtract both sides by 45%

\(45\% - 45\% + Maintenance = 100\% - 45%\)

\(Maintenance = 100\% - 45%\)

\(Maintenance = 55\%\)

Hence, the percentage of time spent in Maintenance is 55%