write 3.25 x 10⁴ as an ordinary number

Answer:

1. Red, 2. Green, 3. 1/2, 4. 3/10, 5. 4/5, 6. 1/2

Step-by-step explanation:

1. Red is the color with the least amount

2. Green is the color with the highest amount

3. 5 out of 10 of the marbles are green so that simplifies to 1/2

4. 3 out of 10 of the marbles are blue

5. 2 of the marbles are red so there are 8 left out of 10 and you have a 4/5 probability of getting something other than red

6. Half the marbles are green so you have a 1/2 probability to not get green

The slope would be -3/1.

Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

Answer:

5/6 x 48 = 5 x 8=40

Step-by-step explanation:

Pls mark as brainliest

Answer:

40

Step-by-step explanation:

\( \frac{5}{6} \times 48 \\ \frac{5 \times 48}{6} \\ \frac{240}{6} = 40\)

Answer:

By using formula of two points form

y-y1=y2-y1/ x2-x1(x-x1)

y-2= (-8)-2/0-3( x-3)

y-2 = -10/-3 (x-3)

3y-6 = 10x-3

10x-3y+3= 0 is the equation

hope you have understand

Answer:

Sarah saves $288.

Step-by-step explanation:

$48 per week.

For 6 weeks you would do:

48 × 6 = 288.

So Sarah saves $288 over 6 weeks.

Please mark Brainliest

Answer: $288

Step-by-step explanation:

It says she earns $48 per week, and she does it for 6 weeks.

So this is just 48*6

Another way is 48/1=x/6 Where you just cross multiply

So x=48*6=288

Work Shown:

\(A = P*(1+r/n)^{n*t}\\\\2P = P*(1+r/1)^{1*3}\\\\2 = (1+r)^{3}\\\\(1+r)^{3} = 2\\\\1+r = \sqrt[3]{2}\\\\r = -1+\sqrt[3]{2}\\\\r \approx 0.25992\\\\\)

That converts to 25.992% after moving the decimal point two spots to the right. Round this value however your teacher instructs.

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

Rank Topic Problem Formatted Problem

1 Factor x^2‑4 x2−4x2‑4

2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16

3 Graph y=‑x^2 y=−x2y=‑x2

Step-by-step explanation:

The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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Answer: The answer is in the attachment below!

the first one is -6, 8 second is 0,8!

Answer:

The answer would be C. An obtuse equilateral triangle :)

The technique often used to prove the correctness of a recursive function is **mathematical induction**.

Mathematical induction is a method of proof used to establish that a property holds for all natural numbers (or a well-ordered set). It consists of two steps:

1. **Base Case**: The base case establishes that the property holds for a specific initial value or base case. It typically involves showing that the property is true for the smallest possible input or base case of the recursive function.

2. **Inductive Step**: The inductive step demonstrates that if the property holds for a specific value, it also holds for the next value. This step involves assuming that the property is true for a certain input, and then proving that it holds for the subsequent input using the recursive definition of the function.

By proving that the base case is true and showing that the inductive step holds, mathematical induction establishes the correctness of a recursive function for all valid inputs.

The other options you mentioned, such as commutativity, diagonalization, and matrix multiplication, are not directly related to proving the correctness of recursive functions. Commutativity refers to the order of operations or elements, diagonalization is a technique used in mathematics and logic, and matrix multiplication is a mathematical operation for matrices. While these concepts may have applications in other areas of mathematics and computer science, they are not specifically used for proving the correctness of recursive functions.

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Answer:B

Step-by-step explanation:

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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All the measures of central tendency are, The median, The mode, and The mean.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some measures,

A. The median

B. A sample statistic

C. The mode

D. The lowest value

E. The mean

We know that;

The four measures of central tendency are mean, median, mode and the midrange.

Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set.

Hence, All the measures of central tendency are, The median, The mode, and The mean.

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Answer:(3*7)

Step-by-step explanation:

The mass of the radioactive sample at the beginning of the 11th day of the experiment is approximately 286 grams.

Since the mass is decreasing by 14% per day, we can find the mass at the beginning of each day by multiplying the previous day's mass by 0.86 (which is 100% - 14%).

At the beginning of the first day, the mass was 1300 grams.

At the beginning of the second day, the mass is:

1300 grams x 0.86 = 1118 grams (rounded to the nearest gram)

At the beginning of the third day, the mass is:

1118 grams x 0.86 = 962 grams (rounded to the nearest gram)

We can continue this pattern to find the mass at the beginning of the 11th day:

Mass at the beginning of the fourth day: 962 grams x 0.86 = 828 grams

Mass at the beginning of the fifth day: 828 grams x 0.86 = 711 grams

Mass at the beginning of the sixth day: 711 grams x 0.86 = 612 grams

Mass at the beginning of the seventh day: 612 grams x 0.86 = 526 grams

Mass at the beginning of the eighth day: 526 grams x 0.86 = 452 grams

Mass at the beginning of the ninth day: 452 grams x 0.86 = 388 grams

Mass at the beginning of the tenth day: 388 grams x 0.86 = 333 grams

Mass at the beginning of the eleventh day: 333 grams x 0.86 = 286 grams (rounded to the nearest gram)

Therefore, the mass of the radioactive sample at the beginning of the 11th day of the experiment is approximately 286 grams.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

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The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Answer:

The coordinates of P are (1,3.5)

Step-by-step explanation:

Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

where in this case m = 1, n = 3

(x1,y1) = (-1,2)

(x2,y2) = (7,8)

Thus, we have ;

(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)

(x,y) = (-3+7)/4 , (6 + 8)/4

(x,y) = 4/4, 14/4

(x,y) = (1,3.5)

a) Randomization ,Independence and Normality is required for constructing a confidence interval.

b) The standard error is \[0.014\].

(a) Conditions required for constructing a confidence interval are as follows:

Randomization: We must use simple random sampling or any other sampling technique that ensures that each sample of the given size is equally likely to be selected.

Independence: Sampling is done without replacement when the sample size is less than 10% of the population size. When the sample size is larger than 10% of the population size, the sampling distribution is assumed to be approximately normal.

Normality: The sampling distribution is approximately normal when the population distribution is normal or the sample size is sufficiently large (n > 30).

(b) Standard error is calculated as:

$$SE = \sqrt{\frac{p(1-p)}{n}}$$

Where:p = 64/752 = 0.08511 - p = 0.085

n = 752 SE = \[\sqrt{\frac{0.085(1-0.085)}{752}}\]

SE = \[0.014\]

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5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.

The diameter of that circumcircle is 483.28 meters.

We have to find the length of one of the sides.

The diameter can be converted to a radius dividing it by 2:

We will need to also know the measure of the interior angle of the pentagon.

For regular polygons we can calculate it as:

We can then draw a right triangle that will let us calculate the side length (a):

As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.

Then, we can use trigonometric ratios to find a:

Answer: 284.06 meters.

Answer:

y=-5

Step-by-step explanation:

When the x-value on the graph is equal to -4, the y-value is equal to -5

The state that is valid is

"Every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circumference of the circle."

A diameter is a line that divides a circle into two halves, a diameter is also a chord

A chord is a line that connects points on a circle, a chord is not a diameter because it does not divide a circle into two equal halves

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Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer:

12.12

Step-by-step explanation: