Bella the Chihuahua weighs 5 1/2 pounds. What is Bella's weight in Kilograms?

Answers

Answer 1
About 2.495 I think

Related Questions

PLEASE HELP PLEASE HELP

PLEASE HELP PLEASE HELP

Answers

Answer:

B

Step-by-step explanation:

Estimate the line of best fit using two points on the line. 10- 8765SYON- +H+H+ -H ● IM (7.4) (10,2) 8 9 10​

Answers

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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What is the unit rate of the number of miles driven per number of hours of driving?


25 miles per hour
30 miles per hour
35 miles per hour
40 miles per hour

What is the unit rate of the number of miles driven per number of hours of driving?25 miles per hour

Answers

35
Explaination : 70 divided by 2 is 35

Answer:

35 miles per hour is the answer

A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?

Answers

Answer:

Pythagoras theorem:

√(6²+3²)

√45

=6.708 ft

8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B

Answers

Answer:

790

Step-by-step explanation:

7098uuilu4645

You're a marketing analyst for Wal-
Mart. Wal-Mart had teddy bears on
sale last week. The weekly sales
($ 00) of bears sold in 10 stores
was:
8 11 0 4 7 8 10 583
At the .05 level of significance, is
there evidence that the average
bear sales per store is more than 5
($ 00)?

Answers

Based on the data and the one-sample t-test, at the 0.05 level of significance, there is sufficient evidence to conclude that the average bear sales per store at Wal-Mart is significantly higher than $500

.

To determine if there is evidence that the average bear sales per store at Wal-Mart is more than $500 at the 0.05 level of significance, we can conduct a one-sample t-test. Let's go through the steps:

State the null and alternative hypotheses:

Null hypothesis (H₀): The average bear sales per store is equal to or less than $500.

Alternative hypothesis (H₁): The average bear sales per store is greater than $500.

Set the significance level (α):

In this case, the significance level is given as 0.05 or 5%.

Collect and analyze the data:

The weekly sales of bears in 10 stores are as follows:

8, 11, 0, 4, 7, 8, 10, 583

Calculate the test statistic:

To calculate the test statistic, we need to compute the sample mean, sample standard deviation, and the standard error of the mean.

Sample mean (\(\bar X\)):

\(\bar X\) = (8 + 11 + 0 + 4 + 7 + 8 + 10 + 583) / 8

\(\bar X\) ≈ 76.375

Sample standard deviation (s):

s = √[Σ(x - \(\bar X\))² / (n - 1)]

s ≈ 190.687

Standard error of the mean (SE):

SE = s / √n

SE ≈ 60.174

Now, we can calculate the t-value:

t = (\(\bar X\) - μ₀) / SE

Where μ₀ is the hypothesized population mean ($500).

t = (76.375 - 500) / 60.174

t ≈ -7.758

Determine the critical value:

Since we are conducting a one-tailed test and the alternative hypothesis is that the average bear sales per store is greater than $500, we need to find the critical value for a one-tailed t-test with 8 degrees of freedom at a 0.05 level of significance. Looking up the critical value in the t-distribution table, we find it to be approximately 1.860.

Compare the test statistic with the critical value:

Since -7.758 is less than -1.860, we have enough evidence to reject the null hypothesis.

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A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of those who saw their ads. To test their thought, they will run a hypothesis test. They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product. The test will be run at a 1% significance level.
a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.
b. The test statistic is 2 and we conclude that the new ad campaign is signficantly better.
c. The test stat is 2.236 and we conclude that the new ad campaign is not significantly better.
d. The test stat is 2.236 and we conclude that the new ad campaign is significantly better.
e. The test stat is 2.5 and we are left with a test that is inconclusive.

Answers

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

\(H_0: p = 0.5\)

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

\(H_1: p > 0.5\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \(\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5\)

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that \(n = 100, X = \frac{60}{100} = 0.6\)

Test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}\)

\(z = 2\)

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

How many 5-digit numbers can be formed that do not contain the digits 0 or 8?

Select one:
a. 16 807
b. 32768
C. 99 968
d. 40

Answers

Sorry it's upside down but,

Answer (b)

\(8 {}^{5} = 32 \: 768\)

How many 5-digit numbers can be formed that do not contain the digits 0 or 8?Select one:a. 16 807b. 32768C.

Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11

Answers

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:

Answers

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?

Answers

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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mean of 57.7 degrees.
Low Temperature ​(◦​F)
40−44
45−49
50−54
55−59
60−64

Frequency
3
5
12
6
3
Question content area bottom
Part 1
The mean of the frequency distribution is. its not 3

Answers

The mean of the data in the frequency distribution that includes temperature would be 52. 17 degrees.

How to find the mean?

The mean of the temperatures when given the frequency distribution can be calculated by the formula :

= ( ∑ ( Frequency x Mean of range ) ) / Total frequency

The mean is

= ( ( ( 40 + 44 ) / 2 x 3 ) + ( ( 45 + 49 ) / 2 x 5 ) + ( ( 50 + 54 ) / 2 x 12 ) + ( ( 55 + 59 ) / 2 x  6 ) + ( ( 60 + 64 ) / 2 x 3 ) ) / ( 3 + 5 + 12 + 6 + 3 )

= 1, 513 / 29

= 52. 17 degrees

It computed mean is lower than the actual mean.

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Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT

Answers

Answer: E

Step-by-step explanation:

Same set up as the problem to the left. Fill in the blanks.

Same set up as the problem to the left. Fill in the blanks.

Answers

The blanks that are missing in the sequence are -3 and 11

How to fil in the blanks in the sequence

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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okay i think this big enough for yall

okay i think this big enough for yall

Answers

Answer:

b(side length) = 15 centimeters

Step-by-step explanation:

Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.

We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.

b = (4050/18)^1/2

b = (225)^1/2

b = 15

___________

We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18

4050 = 270 × w

4050/270 = w

15 = w

w = 15.

A square base is when the length and width are equal. Therefore this value has to be true.

As 15 × 15 × 18 = 4050.

find the volume of the rectangular prism. V=__ cm 3 little three^simply answer

find the volume of the rectangular prism. V=__ cm 3 little three^simply answer

Answers

The volume of a rectangular prism with sides a, b and c is given by:

\(V=a\cdot b\cdot c\)

If a = 7 cm, b = 8 cm and c = 2 cm, we have:

\(V=7\cdot8\cdot2=112\text{ cm}^3\)

1 Select the correct answer from each drop-down menu. 500 N 520 and = < In the figures

Answers

x = (internal angle)

y,z = (externals)

Then

Angle x= < x= 180° - 50° -45° = 85°

Angle y= 180° - (180° - Angle z =

Then answers are

Angle x= 85°

Angle y= 137°

Angle z= 128°

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.

If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.

Answers

The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3 ​

Answers

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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Rewrite the fraction in the sentence below as a percentage.

The 15 overseas investors own 23/25 of the business.

Answers

Answer:

92%

Step-by-step explanation:

Solve the system it’s 9th grade work and you have to put one solution no solution or infinite many

Solve the system its 9th grade work and you have to put one solution no solution or infinite many

Answers

The system of equations has only one solution and is the point (1, 1)

How to solve the system of equations?

Here we have the graph of a system of equations, where we can see that both of them are linear equations.

Whenw e have a graph of a system, the solutions are all the points where the graphs of the equations intercept.

On the given graph, we can see that the two lines intersept at the point (1, 1)

So we have only one solution and is the point (1, 1)

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what is the product of 2.17 and 1.5

Answers

Answer:

3.255 or 3.67

Step-by-step explanation:

MATHS -_-

Answer:

The answer is 3.255

Step-by-step explanation:

When the word product is being used it means that the operation you will be doing is multiplication.So it would be 2.17 x 1.5 and when you multiply them you get 3.255

hope that helped buddy :)


Solve 4a^2 - 14a = -50 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1, 2).
If there is no real solution, enter 0.

Answers

Answer:

0

Step-by-step explanation:

The solutions to the equation 4a²-14a=-50 are complex numbers, not real numbers. So, there are no real solutions to this equation. Therefore, the answer is 0.

Simplify. 10^-3 Write your answer as a fraction, using the / symbol.

Answers

Answer:

\( \frac{1}{1000} \)

Step-by-step explanation:

\( {10}^{ - 3} = \frac{1}{10 {}^{3} } \\ = \frac{1}{1000} \)

What is the length of the missing leg??

What is the length of the missing leg??

Answers

17^2 - 12^2

289 - 144 = 145

Sqrt of 145 = 12.04159…

The answer rounded to two decimal places is 12.04 cm.

Answer:

12.04 cm

Step-by-step explanation:

Pythagoras in general :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle).

a and b are the side legs.

so, in our example here

17² = 12² + b²

289 = 144 + b²

145 = b²

b = sqrt(145) = 12.04 cm

The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50

Answers

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

Find the equation of a line that has a slope of m=1/5 and passes through the point (0, 9). Express your answer in slope-intercept form. Enter your answer in the box.

Answers

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+9 \end{array}}\)

I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of time needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship?

Answers

Step-by-step explanation:

let us attend to each cases one after the other. each relationship is in bold in parenthesis

1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)

2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)

3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)

please help me i really need help please i really need help please

please help me i really need help please i really need help please

Answers

Answer:

56.57 yards (rounded to the nearest hundredths)

Step-by-step explanation:

Well follow Pythagorean theorem

20^2+b^2=60^2

400+b^2=3600

B^2= 3200

√3200=56.57 (rounded)

A hipopótamos weight 1.5 tons what is its weight in ounces

Answers

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

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Received $42,000 cash from the issue of a short-term note with a 4% interest rate and a one-year maturity. The note was made on April 1, 2016.2. Received $117,000 cash plus applicable sales tax from performing services. The services are subject to a sales tax rate of 5%.3.Paid $71,500 cash for other operating expenses during the year.4. Paid the sales tax due on $97,000 of the service revenue for the year. Sales tax on the balance of the revenue is not due until 2017.5.Recognized the accrued interest at December 31, 2016.The following transactions apply to Walnut Enterprises for 2017:1.Paid the balance of the sales tax due for 2016.2. Received $142,000 cash plus applicable sales tax from performing services. The services are subject to a sales tax rate of 5%.3.Repaid the principal of the note and applicable interest on April 1, 2017.4.Paid $84,500 of other operating expenses during the year.5. Paid the sales tax due on $117,000 of the service revenue. The sales tax on the balance of the revenue is not due until 2018.Prepare a General Journal for Walnut Enterprises Obama's National AddressPART B: Which quote from the text best supports the answer to Part A? a Im here because I want to talk with you about your education and whats expected of all of you in this new school year. (Paragraph 5) b And this isnt just important for your own life and your own future. What you make of your education will decide nothing less than the future of this country. (Paragraph 14) c Neither of her parents had gone to college, and they didnt have a lot of money. But they worked hard, and she worked hard, so that she could go to the best schools (Paragraph 20) d Maybe you dont have adults in your life who give you the support that you need. (Paragraph 21) When members of high-performing teams communicate, the majority of their comments are? which of the following is true about the behavioral approach to assessment? group of answer choices it seeks to identify traits or motives that can be inferred from behavior. it seeks to reveal underlying motivations regarding personality. it focuses on what a person actually does in certain situations. it focuses primarily on what a person actually thinks while engaging in specific behaviors. In a publication of a well-known magazine, it is stated that cars travel an average of at least 20,000 kilometers per year, but you believe that the average is actually less. To test this claim, a randomly selected sample of 100 car owners is asked to keep track of the miles they travel. Would you agree with this statement if the random sample indicated a mean of 19,000 kilometers and a standard deviation of 3,900 kilometers? Use a significance level of 0.05 and for your engineering conclusion use:a) The classical method.b) The P-value method as an auxiliary.Use four decimal places for the calculation*NO Excel* How do you say 6:50 am in the morning? (In Spanish)How do you say 8:00 am in the morning? (In Spanish)How do you say 7:40 am in the morning? (In Spanish)How do you say 3:00 pm in the afternoon? (In Spanish)__________________ (lnch. ignore this)How do you say 8:00 pm in the night? (In Spanish) How do you say 8:30 pm in the night? (In Spanish) How do you say 9:00 pm in the night? (In Spanish) Please help, Id really appreciate it :) special data that describe the data contained in a database are called ________. A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.How many cups of red paint should be added to 1 cup of white paint? Do not include units (cups) in your answer. Type your answer as a fraction or decimal. If you enter a decimal, round to the nearest tenth. What is another name for k in algebra Calcium carbonate, CaCO_3, decomposes upon heating to calcium oxide and carbon dioxide. What mass of solid calcium carbonate is required to produce 2.40 liters of carbon dioxide measured at Standard Temperature and Pressure (STP)?(A) 10.7 g(B) 21.4 g(C) 50.0 g(D) 100. g Data was collected on the price per cupcake on orders of different amounts from a bakery. The scatter plot shows the data that was gathered.Which of the following describes the pattern of association for the scatter plot? There is a weak, positive linear association. There is a weak, negative linear association. There is a strong, positive nonlinear association. There is a strong, negative nonlinear association. ooga booga. booga ooga. ooga booga is a manufacturer of lead crystal glasses. the standard direct materials quantity is 1.0 pound per glass at a cost of $0.60 per pound. the actual result for one month's production of 7,200 glasses was 1.3 pounds per glass, at a cost of $0.70 per pound. calculate the direct materials cost variance and the direct materials efficiency variance.