Write 280,000,000 in scientific notation.

0.28 × 109
28 × 108
2.8 × 108
2.8 × 109

First we will calculate the volume of the cone with the following equation.

The answer would be 489.8 mm3

Answer:

Step-by-step explanation:

1A    

SOL:

            =-15 ÷ -15

            =1 ANS

B:

SOL:

       = -5÷5

       = -1 ANS

Considering the equation, 3/4 x - 3/2 =  -1.25 x + 4.5. the solutions from graph and algebraically are:

A. the graph is plotted and attached, solution from graph (3, 0.75).

B. solution algebraically gave same answer as (3, 0.75).

The equation given in the problem is 3/4 x - 3/2 =  -1.25 x + 4.5

let the equation be equal to y, therefore we have

y = 3/4 x - 3/2 =  -1.25 x + 4.5

y = 3/4 x - 3/2

y =  -1.25 x + 4.5

subtracting gives

0 = 2x - 6

2x = 6

x = 3

substituting x = 3 into  y = 3/4 x - 3/2

y = 3/4 * 3 - 3/2 = 3/4 = 0.75

the solution is x = 3 and y = 0.75

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The constraints and objective function can be formulated as follows for next week's production of connecting rods:

(a) x4 must be either 0 or 9,000 units when s4 is set to 1,

(b) x6 must be either 0 or 7,000 units when s6 is set to 1, (c) the third constraint is not specified, and (d) the objective function aims to minimize the cost of production.

(a) To limit the production of 4-cylinder connecting rods, we can write the following constraint:

x4 <= 9,000 * s4

This constraint ensures that if s4 is set to 1, x4 can take a value up to 9,000. Otherwise, if s4 is set to 0, x4 must be 0.

(b) Similarly, to limit the production of 6-cylinder connecting rods, we can write the constraint:

x6 <= 7,000 * s6

When s6 is set to 1, x6 can take a value up to 7,000. If s6 is 0, x6 must be 0.

(c) The third constraint is not explicitly mentioned and needs to be defined based on the problem requirements. It could involve a limit on the total production quantity or any other relevant condition that needs to be considered.

(d) The objective function for minimizing the cost of production can be written as:

Minimize Cost = c4 * x4 + c6 * x6

where c4 is the cost per unit of 4-cylinder connecting rods and c6 is the cost per unit of 6-cylinder connecting rods. The objective is to find the values of x4 and x6 that minimize the total cost of production for next week

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It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

A box and whisker plot (also known as a box plot) is a graph that displays the distribution of a dataset using quartiles. Excel and the QUARTILE.INC function can be used to construct a box and whisker plot for the given dataset.The dataset has been included below.Number of credit cards: 3, 4, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3To find the minimum value of the dataset, the box and whisker plot should be constructed first. The quartile.inc function in Excel will be used to construct the plot.Using the quartile.inc function, the first quartile (Q1), second quartile (Q2), and third quartile (Q3) are calculated for the dataset. It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

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Answer:

C. mean

(The class average will be higher)

The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

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The total number of ways in which different telephone numbers are possible in city  is  6561.

Permutation -

It relates to a mathematical process that determines the number of possible arrangements of a given set.

Now, according to the question:

The first three digits are fixed, we have to select the next four digits.

A total number of available telephone numbers is increased by selecting

Thus,

= 9×9×9×9

= 6561

Total number of ways in which different telephone numbers are possible in city are 6561.

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

1200

Step-by-step explanation:

.........................

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer:

Thank you for sharing Ahmeds brilliance with us.

Step-by-step explanation:

The values in the missing observation are:

X1    X2

76 22  

82 25

91 32

101    41

88 28

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x1 x2

76 22  

82 __

91 32

__    41

88 28

The difference between each row are:

76 - 22 = 54

82 - 25 = 57

91 - 32 = 59

101 - 41 = 60

88 - 28 = 60

We see that,

57 - 54 = 3

59 - 57 = 2

60 - 59 = 1

60 - 60 = 0

So,

The difference between the numbers is consecutive as 3, 2, 1, 0.

Thus,

The missing values of X1 and X2 are 101 and 25.

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Answer:

Causation

Step-by-step explanation:

Studying better prepares you for a test, getting you better grades.

Answer:

causation

Step-by-step explanation:

hope this helps

Answer:

Your answer is correct

Step-by-step explanation:

SAS triangle is proven through b option.

Hope this helps....

Have a nice day!!!!

Due to the common ratio of -2.4 between the following y-values, the table indicates a geometric sequence.

A geometric sequence is one in which the relationship between each term and its predecessor is constant. A geometric sequence's explicit formula is of the form a = a1r-1, where r is the common ratio.

The typical representation of a geometric sequence with the first term (a) and the common ratio (r). The first number in the sequence is referred to as the first term. The common ratio is a constant that multiplies one number by itself to produce another. In other words, we multiply by the common ratio r to get from.

The y-values in the table are as follows

4, -9.6, 23.04, -55.296

To obtain the common ratio we simply divide each value by the preceding one;

(-9.6)/4 = -2.4

23.04/(-9.6) = -2.4.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

i think original price Php656.25

Step-by-step explanation:

original price Php x

80%x = 575

x = 575×100/80

x = 656.25

original price Php656.25

There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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Answer:

2.5% of 15,530 is 388.25

Answer: y = 1/4x + 5

Step-by-step explanation:

Simply use the slope formula to find the slope, then plug in a point to y = mx + b to find the y-intercept.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Step-by-step explanation:

V of a sphere is (4/3)*pi*r³, and because we have 3 scoops

V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³

Answer:

228

Step-by-step explanation:

Answer:

I can't see the diagram could you attach it

Step-by-step explanation:

Answer: 34%

Step-by-step explanation:

      Let us assume that the table shown looks like the one I put together below. If your table does not look like this table, please note that this answer may be incorrect and comment what about the table is different.

      To find the percentage of the girls who voted for Splashdown, we will divide the numbers of girls who voted for Splashdown by the total number of girls, and multiply it by 100. Then, we will round to the nearest percent as asked.

\(\displaystyle \frac{46}{53+46+37} *100=\frac{46}{136} *100= 0.338235 * 100 = 33.8235 \approx 34\%\)

(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.

Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1.  (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.

(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.

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