The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject.

Answers

Answer 1
the answer is: m=f/a. use reverse operations so that m is now the subject

Related Questions

In interpreting effect size, what is the meaning of effect size at 0.3?
a. small effect size
b. medium effect size
c. large effect size
d. weak effect size

Answers

In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).

In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.

The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).

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width = 18 in, length = 1.92 ft Area = in?​

Answers

34.56

Just multiply them, and you will get the answer.

Answer:

34.56

Step-by-step explanation:

Pls helpbrooo I’ve been stuck on this

Pls helpbrooo Ive been stuck on this

Answers

Answer:

551.33m^2

Step-by-step explanation:

The bottom is a semi circle of radius 13 m

therefore area of the bottom is 13^2 * 3.14 / 2

Area of the top triangle is 13 * 22

adding them together you get 551.33

Yes I did the same problem and got the same answer the area for the triangle is 286 and the semi circle area is 265.33 then add them up and you get 551.33

Match the desired compound events with their corresponding probabilities
Flip a coin 3 times and get heads
every time.
Flip a coin to get tails up and roll a
number cube to get an even number.
Roll a number cube and get a
4 and 5
Draw an ace and then a 7 from a
deck of cards with replacement
27
0000
1/36
1/169
1/8
1/4

Answers

The matching of the probability will be:

Flip a coin 3 times and get heads every time. = 1/8.

Flip a coin to get tails up and roll a number cube to get an even number. - 1/4

Roll a number cube and get a 4 and 5 - 1/36

Draw an ace and then a 7 from a deck of cards with replacement - 1/169.

How to calculate the probability?

Flip a coin 3 times and get heads every time will be:

= (1/2)³

= 1/8.

Flip a coin to get tails up and roll a number cube to get an even number will be:

= 1/2 × 3/6

= 3/12

= 1/4

Roll a number cube and get a 4 and 5 will be:

= 1/6 × 1/6

= 1/36

Draw an ace and then a 7 from a deck of cards with replacement is 1/169.

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d(n)d, left parenthesis, n, right parenthesis models the duration (in seconds) of the time it took for hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 d(n)d(n)d, left parenthesis, n, right parenthesis 858585 999999 110110110

Answers

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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find the region that lies inside both of the cardiods r = 2 -2 cos theta

Answers

The region that lies inside both of the cardioids r = 2 - 2cos(θ) is the entire polar coordinate plane.

To find the region that lies inside both of the cardioids r = 2 - 2cos(θ), we need to determine the common area where both cardioids overlap.

The equation r = 2 - 2cos(θ) represents a cardioid with a radius of 2 and a dent inward due to the negative cosine term. Since we have two identical equations, both cardioids will have the same shape.

To find the region where both cardioids overlap, we need to determine the range of θ values where the cardioids intersect. Let's set the two equations equal to each other:

2 - 2cos(θ) = 2 - 2cos(θ)

By simplifying and rearranging the equation, we get:

cos(θ) = cos(θ)

This equation is true for all values of θ. Therefore, the two cardioids intersect for all values of θ, which means that the region that lies inside both cardioids is the entire polar coordinate plane.

In summary, the region that lies inside both of the cardioids r = 2 - 2cos(θ) is the entire polar coordinate plane.

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in 2015,the annual rate of population growth in the us was about 1.2%.find the growth factor forthe us

Answers

The annual rate of population growth in the US was about 1.2% in 2015, then the growth factor will be 1.012. The growth factor depends upon annual growth rate.

What is the growth factor?

Growth factor typically refers to a constant multiplier that is used to calculate the growth or decay of a quantity over time. It is given as:

Growth factor = (1 + annual growth rate)

Therefore, the growth factor for the US in 2015 can be calculated as follows:

Growth factor (1+0.012) = 1.012

Therefore, the growth factor for the population of the US in the year 2015 was about 1.012.

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Carter has a fruit stand. In the morning, he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bas of peaches, b, Carter will sell before he restocks?

Answers

Answer:

Carter will sell 17 bags of peaches before he restocks.

Step-by-step explanation:

Total pounds of peaches Carter have = \(25\frac{1}{2} = \frac{51}{2} = 25.5\)

Weight of each bag = \(1\frac{1}{2} = \frac{3}{2} = 1.5\) pound

Number of bag made = \(\frac{25.5}{1.5}\)  = 17

The number is fully divided , it means no of peaches left = 0 < 3

So,

Carter will sell 17 bags of peaches before he restocks.

The number of bas of peaches, b, Carter will sell before he restocks is 17.

Calculation of the number of peaches:

Since he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left.

So here

\(= 25.5 \div 1.5\)

= 17

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Identify the unit rate in the graph.
(show work)

Identify the unit rate in the graph.(show work)

Answers

Answer:

it is b because if you count the points it 11 of them

Step-by-step explanation:

Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110

Answers

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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PLZZZ HELPPP I WILL GIVE YOU BRAINLESS ‼️‼️

Which gives the correct values for points A, B, C, and D?

A number line going from negative 2 to negative 1. There are 5 equal spaces between the numbers.
A = negative 1 and one-fifths, B = negative 1 and two-fifths, C = negative 1 and three-fifths, D = negative 1 and four-fifths
A = negative 1 and one-fifths, B = negative 1 and four-fifths, C = negative 1 and three-fifths, D = negative 1 and two-fifths
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth
A = negative 1 and four-fifths, B = negative 1 and one-fifth, C = negative 1 and three-fifths, D = negative 1 and two-fifths

Answers

Answer:

the thrid one

Step-by-step explanation:

bc its all correct like i went over all of it and its correct glad to help bro!!!!!

Answer:

c

Step-by-step explanation:

what technology format could be used to generate six random numbers between 1 and 650?

Answers

We can use a programming language, Microsoft Excel, or an online random number generator to generate six random numbers between 1 and 650.

To generate six random numbers between 1 and 650, we can make use of several technology formats. Here, we will discuss three methods: using a programming language, using Microsoft Excel, and using an online random number generator. Let's discuss each of these methods in detail below.

Using a programming language: Programming languages such as Python, Java, and C++ can be used to generate random numbers. For example, using Python, we can write the following code to generate six random numbers between 1 and 650:import random for i in range(6): print(random. randint(1, 650))This code will generate six random numbers between 1 and 650 and print them to the console. We can modify the range and the upper limit of the randint function to generate more or fewer numbers or to generate numbers within a different range.

Using Microsoft Excel: Microsoft Excel has a built-in function called RANDBETWEEN that generates random numbers. To generate six random numbers between 1 and 650 in Excel, we can enter the following formula in a cell :=RANDBETWEEN (1, 650)We can copy and paste this formula into five other cells to generate a total of six random numbers. We can also use the RAND function instead of RANDBETWEEN to generate decimal numbers within a range. Using an online random number generator:

There are several online tools and websites that allow us to generate random numbers. One such tool is the Random Number Generator by Math Goodies. To generate six random numbers between 1 and 650 using this tool, we can enter 1 and 650 in the Min and Max fields and then enter 6 in the Quantity field.

We can then click the Generate button to generate the numbers.

In conclusion, we can use a programming language, Microsoft Excel, or an online random number generator to generate six random numbers between 1 and 650.

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Need help ASAP! Directions and problem in the picture ;)

Need help ASAP! Directions and problem in the picture ;)

Answers

try calculating the two numbers together

if  not them i'm sorry

HELP. I DONT WANNA FAIL

HELP. I DONT WANNA FAIL

Answers

Answer:

A. Proportional

B. Non-Proportional

C. Non-Proportional

D. Proportional

Step-by-step explanation:

1. For each graph divide the first cost by the number of apples

- 2.25 divided by 5 is .45 (price for one apple)

- 1.85 divided by 5 is .37 (price for one apple)

- 2.60 divided by 5 is .52 (price for one apple)

- 2.10 divided by 5 is .42 (price for one apple)

2. If you can multiply the price for one apple by the total # of apples and it matches the total cost throughout the entire graph then it's proportional.

Find all exact solutions on [0, 2). (Enter your answers as a comma-separated list.) 2 cos2(t) + 3 cos(t) = −1

Answers

The exact solutions on the interval [0, 2) for the equation 2cos²(t) + 3cos(t) = -1 are t = 0.955 and t = 1.323.

What are the precise values of t that satisfy the equation on the given interval?

To find the exact solutions for the equation 2cos²(t) + 3cos(t) = -1 on the interval [0, 2), we can rearrange the equation and solve for cos(t).

By substituting cos(t) with x, the equation becomes a quadratic equation: 2x² + 3x + 1 = 0. Solving this quadratic equation gives us two values for x: x = -1 and x = -0.5.

Since x represents cos(t), we can find the corresponding angles by taking the inverse cosine (cos⁻¹) of each value.

However, we need to consider the interval [0, 2). The inverse cosine function gives us values in the range [0, π], so we find the angles t = 0.955 and t = 1.323 that fall within the specified interval.

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The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6), what are the coordinates of B?

Answers

Answer:

\(\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}\)

Step-by-step explanation:

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

\(\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}\)

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

\(\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}\)

\(\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}\)

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

Hence the coordinate of B is (-1,-8)
The midpoint of overline AB is M(-4, -7). If the coordinates of A are (7,6), what are the coordinates

The equation of a circle is given below. Identify the radius and center. Then graph the circle.
x²+(y-2)² =25

Answers

The center of the circle is (0,2) and the radius is 5 units

How to determine the radius and the center?

The equation is given as:

x² + (y-2)² =25

The equation of a circle is given as:

(x - a)² + (y - b)² = r²

Where:

Center = (a,b)

Radius =  r

By comparison, we have:

(a,b) = (0,2)

r² = 25

Evaluate

r = 5

Hence, the center of the circle is (0,2) and the radius is 5 units

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What’s the answer to this ?

Whats the answer to this ?

Answers

Answer:

if you use trigonometry

\( sin { }^{ - 1} (63 \div 65)\)

which is 75.7499 degrees

In 2020, a total of 9559 Nissan Leafs were sold in the US. For the 12-month period starting January 2020 and ending December 2020, the detailed sales numbers are as follows: 651, 808, 514, 174, 435, 426, 687, 582, 662, 1551, 1295 and 1774 units.

before the Nissan plant in Smyrna, Tennessee, started to produce the Nissan Leaf they were imported from Japan. Although cars are now assembled in the US, some components still imported from Japan. Assume that the lead time from Japan is one weeks for shipping. Recall that the critical electrode material is imported from Japan. Each battery pack consists of 48 modules and each module contains four cells, for a total of 192 cells. Assume that each "unit" (= the amount required for an individual cell in the battery pack) has a value of $3 and an associated carrying cost of 30%. Moreover, assume that Nissan is responsible for holding the inventory since the units are shipped from Japan. We suppose that placing an order costs $500. Assume that Nissan wants to provide a 99.9% service level for its assembly plant because any missing components will force the assembly lines to come to a halt. Use the 2020 demand observations to estimate the annual demand distribution assuming demand for Nissan Leafs is normally distributed. For simplicity, assume there are 360 days per year, 30 days per month, and 7 days per week.

(a) What is the optimal order quantity?
(b) What is the approximate time between orders?

Answers

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Find an exact simplified solution to the equation below so that 0 < θ < π/2.
1 = √(3) tan(2θ)
Θ=?

Answers

The simplified solution to the equation 1 = √(3) tan(2θ) where 0 < θ < π/2 is θ = π/12.

How can we find the exact simplified solution to the equation?

To find the solution, we start by isolating the tangent term by dividing both sides of the equation by √(3). This gives us tan(2θ) = 1/√(3). We know that for 0 < θ < π/2, the tangent function is positive, and we are looking for the value of θ that satisfies this condition.

Using the inverse tangent function, we take the arctan of both sides to find the angle whose tangent is 1/√(3). The exact simplified solution is θ = π/12.

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A box filled with 123 blue cards, 234 green cards and 53 yellow cards.

What is the probability of either getting a blue card or a green card?
What is the probability of either getting a blue card or a green card or a yellow card?
3. What is the probability of getting both a blue card and a green card?

Answers

The probability of either getting a blue card or a green card is 0.648. The probability of either getting a blue card or a green card or a yellow card is 1.0. The probability of getting both a blue card and a green card is 0.277.

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is used to describe and analyze uncertain or random situations.

Given, that the box is filled with 123 blue cards, 234 green cards, and 53 yellow cards.

Total number of cards = 123 + 234 + 53 = 410

The probability of getting a blue card = 123/410
The probability of getting a green card = 234/410
The probability of either getting a blue card or a green card is given by:
P(Blue or Green) = P(Blue) + P(Green) - P(Blue and Green)
= 123/410 + 234/410 - (123*234)/(410*410)
= 0.3 + 0.348 - 0.054
= 0.648

The probability of getting a yellow card = 53/410
The probability of either getting a blue card or a green card or a yellow card is given by:
P(Blue or Green or Yellow) = P(Blue) + P(Green) + P(Yellow) - P(Blue and Green) - P(Green and Yellow) - P(Blue and Yellow) + P(Blue and Green and Yellow)
= 123/410 + 234/410 + 53/410 - (123×234)/(410×410) - (234×53)/(410×410) - (123×53)/(410×410) + 0
= 0.3 + 0.348 + 0.129 - 0.054 - 0.039 - 0.019
= 1.0

The probability of getting both a blue card and a green card is given by:
P(Blue and Green) = (123×234)/(410×410)
= 0.054

Therefore, the probability of either getting a blue card or a green card is 0.648. The probability of either getting a blue card or a green card or a yellow card is 1.0. The probability of getting both a blue card and a green card is 0.277.

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Calculate the perimeter of a rectangle whose length is twice its width and whose area is 50.

Answers

The perimeter of a rectangle is equal to 30.

Rectangles

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two length (L) and two widths (W).

The perimeter is the sum of all sides of a geometric figures. For a rectangle, the perimeter is 2L+2W.

The area for a rectangle is given by A=L*W.

The question gives:

      length = 2*W       width= W       area= 50

From the area, you can find the width, see below.

A=L*W

A=2W*W

50=2W²

25=W²

5=W

If W=5, from condition length = 2*W, you can find the length. See

L=2*W

L=2*5

L=10

Therefore, the perimeter will be:

P=2L+2W

P=2*10+2*5

P=20+10

P=30

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Please help! <3 <3 <3

Please help! &lt;3 &lt;3 &lt;3

Answers

Step-by-step explanation:

the answer is

1 C

2 D

3 F

4 B

5 E

6 A

Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and 1/2 cups of raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?

Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The calls of Hazar was 2370 the last month. He received 1645 calls. The calls of Huzan was less than those of Hazar, but Huzan received more calls than Hazar. Write a system of linear inequalities to represent the situation, then solve it to determine the possible number of calls received by Huzan and the number of calls dialled by him.

Answers

The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

What is Inequalities of equations ?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.Inequality simply means that two things aren't equal. One of the items could be inferior to, superior to, greater than, or equivalent to the other things.
p ≠ q means that p is not equal to qp &lt; q means that p is less than qp &gt; q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q
Different kinds of inequality exist. Important inequities include the following: the inequalities of polynomials
Inequalities in absolute values
Logic-based disparities
Calls made by Hazar = 2370
Calls recieved by Hazar = 1645Let the number of Calls by Huzan be x.
And the number of calls recieved by Huzan be y.
Then the inequalities arex&lt; 2370 and y&gt; 1645
The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

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can anyone please help me find the length of X?

can anyone please help me find the length of X?

Answers

Solution:

Note that:

2(Perimeter of smaller triangle) = Perimeter of larger triangle

Using the perimeter of the smaller triangle, solve for x.

2(Perimeter of smaller triangle) = Perimeter of larger triangle=> 2(3.5 + x + h) = 7 + 4 + 2h=> 7 + 2x + 2h = 7 + 4 + 2h=> 2x = 4=> x = 2

The length of x is 2 units.

Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 87). y=

Answers

The equation is \(y=-87(x-1)^{2} (x-3)^{3}\).

What is meant by zeroes of polynomials?

All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.

It is given that degree of the equation is 5. so the highest power is 5 and there will be 5 zeroes.

It is given that 2 zeroes at x=1 and 3 zeroes at x= 3.

So, the equation is \(y=a(x-1)^{2} (x-3)^{3}\).

We will substitute x=2 and y= 87 in the above equation.

\(87=a(2-3)^{3} \\a=-87\)

Therefore now the equation will be:

\(y=-87(x-1)^{2} (x-3)^{3}\).

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determine if linear

Answers

An equation is considered linear if it is in the form of y=mx+b where m is the slope of the equation and b is the y-intercept.

Properties of Linear Equations

There are several properties possessed by linear equations, which are as follows:

Adding and subtracting the numbers of the two sides will not change the value equation. Multiplication and division of the two sides does not change the value of the equation The value of the equation does not change if both sides are added or subtracted by the same number If an equation is moved, addition changes to subtraction, multiplication changes to division, and vice versa.

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the number of categories of outcomes per trial for a multinomial probability distribution is . a. two or more b. five or more c. four or more d. three or more

Answers

The number of categories of outcomes per trial for a multinomial probability distribution is three or more.

The number of categories of outcomes per trial for a multinomial probability distribution is three or more. A multinomial probability distribution is a probability distribution that can be used to describe the possible outcomes of a trial with multiple categories. Each trial can have two or more categories, with each category having one or more outcomes. Therefore, the number of categories of outcomes per trial for a multinomial probability distribution is three or more.

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Assume boolean[][] x = new boolean[5][7], what is the index variable for the element at the last row and last column in array x?
a. x[4][5]
b. x[4][6]
c. x[5][6]
d. x[5][7]

Answers

The index variable for the element at the last row and last column in the array x is B. x[4][6].

In Java, arrays are zero-indexed, which means the first element of an array is at index 0. The given array x is a 2D boolean array with dimensions 5x7 (5 rows and 7 columns). To access the last row and last column, we need to subtract 1 from each dimension:

- For the last row, the index is 5 - 1 = 4.
- For the last column, the index is 7 - 1 = 6.

So, the correct index variable to access the last row and last column is x[4][6]. The other options provided are incorrect as they do not accurately represent the index of the last element:

- a. x[4][5] refers to the second to last element in the last row.
- c. x[5][6] would be out of bounds, as the maximum row index is 4.
- d. x[5][7] would also be out of bounds, as both the row and column indices are too large.

Therefore, the correct option is B.

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