1.
Marsha’s cat weighs 15.41 pounds. Her bunny only weighs 4.79 pounds. About how much more does her cat weigh?
10 pounds
10.62 pounds
20 pounds
11 pounds

Answer:

p=1

Step-by-step explanation:

5(p+3)=18+2p

5p+15=18+2p

5p-2p=18-15

3p=3

p=3

3

p=1

Let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

The scientific notation is used to represent very large or very small numbers. It is a shorter and more convenient way of expressing such numbers in multiplication and division.

This notation consists of two parts: the base number and the exponent, which tells how many times the base should be multiplied by itself.

Let us solve the problem,.

To begin with, let's convert both of these scientific notations into standard numbers.4.5 x 10^6 = 4,500,0004.5 x 10^4 = 45,000

Now, let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

1062

Step-by-step explanation: Find the area of each side then add it all up

To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.

The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.

Using this information, we can calculate the test statistic, which is given by:

t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))

Plugging in the values, we get:

t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))

Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).

Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.

Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.

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The perimeter of parallelogram BCDE is 38 .

The plotting of the points B(2,-8), C(2, 1), D(-3, 5), and E(-3,-4) is given below.

Using distance formula , put \(x_1=2, \ y_1 =-8\) and \(x_2=2, \ y_2 =1\) in equation (1) , we get BC

      \(BC=\sqrt{(2-2)^2+(1-(-8))^2} \\BC=\sqrt{0+(1+8)^2} \\BC=\sqrt{(9)^2} \\BC= 9\)

Using distance formula , put \(x_1=2, \ y_1 =1\) and \(x_2=-3, \ y_2 =5\) in equation (1) ,we get CD

       \(CD=\sqrt{(-3-2)^2+(5-1)^2} \\CD=\sqrt{(-5)^2+(4)^2} \\CD=\sqrt{25+16} \\CD=\sqrt{100} \\CD=10\)

Using distance formula , put \(x_1=-3, \ y_1 =5\) and \(x_2=-3, \ y_2 =-4\) in equation (1) ,we get DE

       \(DE=\sqrt{(-3-(-3))^2+(-4-5)^2} \\DE=\sqrt{(-3+3)^2+(-9)^2} \\DE=\sqrt{0+81} \\DE=\sqrt{81} \\DE=9\)

Using distance formula , put \(x_1=2, \ y_1 =-8\) and \(x_2=-3, \ y_2 =-4\) in equation (1) ,we get BE

     \(BE=\sqrt{(-3-2)^2+(-4-(-8))^2} \\BE=\sqrt{(-5)^2+(-4+8)^2} \\BE=\sqrt{25+(4)^2} \\BE=\sqrt{25+16} \\BE=\sqrt{100} \\BE=10\)

Perimeter \(=10+10+9+9=38\)

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To determine the distance from the coffee shop to Michael's house, we need to subtract the distance he traveled from the library to the coffee shop (8 miles) from the total distance between his house and the library (17 miles).

Using the information provided, we can calculate the distance from the coffee shop to his house as follows:

Distance from coffee shop to house = Total distance - Distance from library to coffee shop

Distance from coffee shop to house = 17 miles - 8 miles

Distance from coffee shop to house = 9 miles

Therefore, the distance from the coffee shop to Michael's house is 9 miles. This calculation is derived by subtracting the distance he traveled from the library to the coffee shop from the total distance between his house and the library.

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Captain Hook Get Injured from the previous battle with Peter.

It is required to how the Captain Hook Get Injured.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

Hook sits in his room, sick and injured from the previous battle with Peter. He is bothered by Smee hammering up a sign asking to not disturb the captain. But when Hook tries to attack Smee, he is accidentally smacked on the head with the hammer, causing him to briefly lose consciousness.

Therefore, Captain Hook Get Injured from the previous battle with Peter.

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Answer:

Step-by-step explanation:

\(1+tan^2\theta=sec^2\theta\\tan^2\theta=sec^2\theta -1 \\tan^2\theta=(sec\theta-1)(sec\theta+1)\\\implies \frac{1}{sec\theta-1} =\frac{sec\theta+1}{tan^2\theta} \\\\and \quad \frac{1}{sec\theta+1} =\frac{sec\theta-1}{tan^2\theta} \\\\ \frac{1}{sec\theta-1} + \frac{1}{sec\theta+1} = \frac{sec\theta+1}{tan^2\theta} + \frac{sec\theta-1}{tan^2\theta}\\\\=\dfrac{2sec\theta}{tan^2\theta}\\\\=\dfrac{2cos^2\theta}{cos\theta.sin^2\theta}\\\\\\=2cos\theta.cosec^2\theta\)

Answer:  11/16

Step-by-step: Whenever dealing with a problem like this. Times how many times its being tossed: 4x2 Then times that by two again: 4x2x2.

The probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375, and this can be calculated using either the counting method or the binomial probability formula.

The probability of getting heads or tails on a single coin toss is always 1/2 or 0.5. In order to determine the probability of getting heads at least twice when tossing a fair coin four times, we need to consider all the possible outcomes.
There are a total of 16 possible outcomes when tossing a fair coin four times, as each coin toss can result in either heads (H) or tails (T). These outcomes are:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
Out of these 16 possible outcomes, there are 6 outcomes in which heads appear at least twice:
HHHH
HHHT
HHTH
HHTT
HTHH
THHH
Therefore, the probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375.
Another way to calculate this probability is by using the binomial probability formula:
P(X≥2) = 1 - P(X<2)
P(X<2) = P(X=0) + P(X=1)
Where X is the number of heads that appear in four coin tosses.
P(X=0) = (1/2)^4 = 1/16
P(X=1) = 4(1/2)^4 = 4/16
Therefore, P(X<2) = 1/16 + 4/16 = 5/16
And P(X≥2) = 1 - 5/16 = 11/16 or 0.375.
In conclusion, the probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375, and this can be calculated using either the counting method or the binomial probability formula.

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Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,

Number of French People = 10% of the number of people in the conference

\(\text{Number of French People} = \dfrac{10}{100} \times 500 = 50\)

Hence, the number of French people at the conference is 50.

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Answer:

$895.20

Step-by-step explanation:

Answer:

1. 142°

2. 137°

3. 140°

Step-by-step explanation:

First we have to assume that each of the statements 1, 2 and 3 are independent of each other, otherwise the results will be inconsistent

Since m and n are parallel to each other and t is a straight line

1. ∠3 =∠7 = 142°

2. ∠1 + ∠2 = 180° ;  ∠2 = 180°-∠1 = 180° - 43° = 137°

3. ∠7 = ∠6 =140°

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

x = 9

Step-by-step explanation:

Answer:

I think it is 0.5

Step-by-step explanation:

32²×8²×16² = 16777216

64²×4³×128 = 33554432

16777216 ÷ 33554432= 0.5

Answer:

d

Step-by-step explanation:

I got it right on my quiz

The correct option is False. According to the contiguity principle, it is recommended to directly integrate labels or text into the graphic itself rather than using a separate legend.

This principle suggests that presenting relevant text near corresponding visuals enhances learning outcomes by reducing cognitive load and facilitating the integration of information. Therefore, using labels within the graphic is more aligned with the contiguity principle for effective e-learning lessons.

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The option that is the equivalent form of the expression for the amount remaining in shipment 2 is the second option: 50 (\(\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}\))

Note that:

f(t)= 50 (1/2)^ \(\frac{t-2}{5}\)

f(t)= 50 (1/2)^ \(\frac{\frac{t}{5} } - {\frac{2}{5} }\)

Note also that in indices,  \(x^{-y}\) = 1/ \(x^{y}\)

Then:  50 (\(\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}\))

(\(50 \frac {1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}\))

= 50 (\(\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}\))

Therefore, The option that is the equivalent form of the expression for the amount remaining in shipment 2 is the second option: 50 (\(\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}\))

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Answer:

a polygon has 3 or more sides

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

A

Step-by-step explanation:

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Yes, the polynomial p(z)=anz^n an-1z^n-1 .. a0 is written in factored form as p(z)=an(z-z1)^d1 (z-z2)^d2 …(z-zr)^dr.

To show that if the polynomial p(z) is written in factored form as\(p(z) = an(z-z1)^d1 (z-z2)^d2 ...(z-zr)^dr\), then the coefficients satisfy the following relations:

The degree of the polynomial p(z) is n, which means that the sum of the exponents of the factors in the factored form is equal to n:

\(d1 + d2 + ... + dr = n\)

The coefficient of the highest degree term in p(z) is an, which means that:

\(an = ad1d2*...*dr\)

To prove these relations, we start by expanding the factored form of p(z) using the distributive property:

\(p(z) = an(z-z1)^d1 (z-z2)^d2 ...(z-zr)^dr\)

\(= an*(z^d1 - z1^d1)(z^d2 - z2^d2)...*(z^dr - zr^dr)\)

The degree of p(z) is the highest power of z in this expression, obtained by adding up the highest exponents of z in each term.

Since each factor \((z - zi)\)has a maximum exponent of di, the highest power of z in\(p(z) is d1 + d2 + ... + dr.\)

\(n = d1 + d2 + ... + dr\)

The coefficient of the highest degree term in the expanded form of p(z) is obtained by multiplying the highest degree terms in each factor.

we compare it with the coefficient of the highest degree term in the original polynomial p(z).

\(an*(z1^d1)(z2^d2)...*(zr^dr)\)

On the other hand, the coefficient of the highest degree term in p(z) is the coefficient of \(z^n,\) which is an. Therefore, we have:

\(an = an*(z1^d1)(z2^d2)...*(zr^dr)\)

Dividing both sides by the product of the z-terms, we get:

\(1 = (z1^d1)(z2^d2)...*(zr^dr)\)

Multiplying both sides by an, we get:

\(an = ad1d2*...*dr\)

This proves that the coefficients of the polynomial p(z) satisfy the relations stated above.

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1. Closing entry of net income to retained earnings: Net income of $78 million is transferred from the income statement to retained earnings.

2. Payment of the cash dividend: Cash dividend of $22 million is paid out to shareholders, reducing retained earnings.

3. A stock dividend of 1 million shares of $1 par common stock is issued

4. A property dividend of Gary Larson Publishers preferred stock held as a short-term investment is issued

5. Treasury shares with a cost of $50 million are sold, resulting in a decrease in retained earnings and an increase in cash.

1. The closing entry transfers the net income earned during the year from the income statement to retained earnings, reflecting the increase in accumulated profits.

2. The payment of the cash dividend represents the distribution of profits to shareholders, resulting in a decrease in retained earnings and an outflow of cash.

3. The issuance of the stock dividend involves distributing additional shares of common stock to shareholders as a dividend. This reduces retained earnings while increasing common stock and additional paid-in capital.

4. The issuance of the property dividend involves distributing shares of Garfield Company preferred stock held as a short-term investment to shareholders. This reduces retained earnings and creates a property dividend distributable account to track the distribution.

5. The sale of treasury shares involves selling previously repurchased shares back to the market. This decreases retained earnings and increases cash, reflecting the proceeds from the sale.

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Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8]

The statement of retained earnings of Gary Larson Publishers is presented below.

GARY LARSON PUBLISHERS

Statement of Retained Earnings

For the Year Ended December 31, 2021

($ in millions)

Retained earnings, January 1 $ 210

Add: Net income  78

Deduct: Cash dividend  (22 )

Stock dividend (1 million shares of $1 par common stock)  (13 )

Property dividend (Garfield Company preferred stock held

as a short-term investment)  (10 )

Sale of treasury stock (cost $50 million)  (8 )

Retained earnings, December 31 $ 235

Required:

For the transactions that affected Larson’s retained earnings, reconstruct the journal entries that can be used to determine cash flows to be reported in a statement of cash flows. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions (i.e., 10,000,000 should be entered as 10).)

1. Record the closing entry of net income to retained earnings.

2. Record the payment of the cash dividend.

3. Record the issuance of the stock dividend.

4. Record the issuance of the property dividend.

5. Record the sale of treasury shares.

Answer:

48: 24

Step-by-step explanation:

divide.