in a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh 3 pounds and this is 49.3% of the total weight of all of the rocks, what is the weight of all of the rocks? if necessary, round your answer to the nearest tenth.

Answers

Answer 1

The weight of all of the rocks to the nearest tenth is 6.085 pounds .

Given :

in a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh 3 pounds and this is 49.3% of the total weight of all of the rocks, what is the weight of all of the rocks if necessary, round your answer to the nearest tenth.

Let x be the total weight or all the weight of rocks .

3 = 49.3 % * x

3 = 49.3 * 1 / 100 * x

3 * 100 = 49.3 * x

300 = 49.3 * x

divide with 49.3 on both sides

300 / 49.3 = 1 * x

x = 300 / 49.3

= 6.085 pounds

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Related Questions

pls help me
1. f:A->B f(x)=4x-2
A={-2, -1, 0, 1, 2} B=?
2. f:A->B f(x)=x+1
B={-2, -1, 0, 1, 2} A=?

Answers

Answer:

yellow

Step-by-step explanation:

purple could be it too but its yellow

Find the equation of a line that passes through the points (6,7) and (8,3). Leave your answer in the form y = m x + c.

Answers

I’m going back 34 later tonight so Ty and the kids are here and I’m not going back

​ If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false

Answers

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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a variable has a normal distribution with a mean of 100 and a standard deviation of 15. what percent of the data is less than 105? round to the nearest 10th of a percent.

Answers

Rounding to the nearest tenth of a percent, we find that approximately 65.5% of the data is less than 105.

To find the percentage of the data that is less than 105 in a normal distribution with a mean of 100 and a standard deviation of 15, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to calculate the z-score for the value 105, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ,

where x is the value (105), μ is the mean (100), and σ is the standard deviation (15).

Substituting the values:

z = (105 - 100) / 15 = 5 / 15 = 1/3.

Looking up the z-score of 1/3 in the standard normal distribution table, we find that it corresponds to approximately 0.6293.

The percentage of the data that is less than 105 can be calculated by converting the z-score to a percentile:

Percentile = (0.5 + 0.5 * erf(z / √2)) * 100,

where erf is the error function.

Substituting the z-score into the formula:

Percentile = (0.5 + 0.5 * erf(1/3 / √2)) * 100 = (0.5 + 0.5 * erf(1/3 / 1.414)) * 100.

Calculating this value gives us approximately 65.48.

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A road sign in the shape of a triangle has a base length of 18 inches and a height of 16 inches. what is the area of the road sign

Answers

Answer: 144 in^2

Explanation:
For this problem, we need to know that the area of a triangle is calculated using one half the base times the height

Area = (1/2) * Base * Height

We are given the base is 18 inches
We are given the height is 16 inches

So we use those values to compute the area.

Area = (1/2) * 18in * 16in
Area = 9in * 16in
Area = 144 in^2

Cheers.

hi!
can you guys please help me I don’t understand this :)

hi! can you guys please help me I dont understand this :)

Answers

Answer:

b) Mood

Step-by-step explanation:

The mood is created by a writer by describing the setting and other objects.

if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?

Answers

Answer:

The Median is 75

Step-by-step explanation:

Median

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

A golf instructor claims that more than 70% of his students have improved their driving distance by at least 20 yards after viewing and applying the techniques described in his instructional video. If 138 out of 180 viewers say that their driving distance has improved by at least 20 yards, is the instructor's claim valid?
Identify the null and alternative hypotheses for this scenario.
Is the instructor's claim that "more than 70% of his students have improved their driving distance by at least 20 yards," valid?

Answers

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Is the instructor claim valid?

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See   the explanation below.

The explanation

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

p  is the sample proportion of students who have improved their driving distance by at least 20 yardsp₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validσ is the standard error of the sample proportion

σ = √(p₀(1 - p₀) / n)

where:

p₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validn is the sample size

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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A grocer reports that the store has sold 72 of the 90 boxes of apples delivered this week. What percentage of the delivered apples have been sold?

Answers

Answer:

80%

Step-by-step explanation:

Total boxes of apples delivered = 90

Total boxes sold = 72

What percentage of the delivered apples have been sold?

Percentage sold = Total boxes sold / total boxes delivered × 100

= 72 / 90 × 100

= 0.8 × 100

= 80%

The percentage of the delivered apples have been sold is 80%

Percentage unsold = (total boxes delivered - total boxes sold) / total boxes delivered × 100

= (90 - 72) / 90 × 100

= 18 / 90 × 100

= 0.2 × 100

= 20%

The percentage of the delivered apples have been sold is 80% and this can be determined by using the unitary method.

Given :

A grocer reports that the store has sold 72 of the 90 boxes of apples delivered this week.

The following steps can be used in order to determine the percentage of the delivered apples that have been sold:

Step 1 - The unitary method can be used in order to determine the percentage of the delivered apples that have been sold.

Step 2 - According to the given data, 90 boxes are 100% boxes of apples.

Step 3 - Now, let the percentage of the delivered apples that have been sold be 'x'. So, the value of 'x' is:

\(x = \dfrac{72}{90}\times 100\)

Step 4 - Simplify the above expression.

\(x = 80\%\)

Therefore, the percentage of the delivered apples have been sold is 80%.

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which of the following is not one of the assumptions that should be met before conducting an independent groups t-test? the dependent variable should be measured on at least an interval level scale. the dependent variable scores should be normally distributed in their parent populations. the samples should have the same number of participants.the samples should be randomly selected.

Answers

The assumption that should not be met before conducting an independent groups t-test is that the samples should have the same number of participants.

How to find the assumption that should not be met before conducting an independent groups t-test?

An independent groups t-test is a statistical test used to compare the means of two independent groups of data. Before conducting this test, there are several assumptions that should be met to ensure the validity of the results. The first assumption is that the dependent variable should be measured on at least an interval level scale.

This means that the values of the dependent variable should be meaningful and can be compared using mathematical operations such as addition and subtraction. The second assumption is that the dependent variable scores should be normally distributed in their parent populations. This means that the distribution of scores should resemble a bell-shaped curve, with most scores clustering around the mean and fewer scores at the tails.

The third assumption is that the samples should be randomly selected to ensure that the sample is representative of the population from which it was drawn. The fourth assumption is that the samples should have approximately equal variances to ensure that the test is not biased towards one sample over the other. If any of these assumptions are violated, the results of the t-test may not be reliable.

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When we identify a nonsignificant finding, how does p relate to alpha?

a. p is greater than alpha. b. p is less than or equal to alpha. c. p is the same as alpha. d. p is not related to alpha.

Answers

answer is b Answer:

Step-by-step explanation:

When we identify a nonsignificant finding, p relates to alpha in the following way:

b. p is less than or equal to alpha.

Explanation:

In hypothesis testing, a p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. On the other hand, alpha is the level of significance or the probability of rejecting the null hypothesis when it is true.

The common convention is to set the level of significance at 0.05 or 0.01, which means that if the p-value is less than alpha, we reject the null hypothesis. On the other hand, if the p-value is greater than alpha, we fail to reject the null hypothesis.

Therefore, when we identify a nonsignificant finding, it means that the p-value is greater than the alpha, and we fail to reject the null hypothesis. Hence, option (b) is the correct answer.

-3x+6y=15 and -3x-2y=-1*

Answers

How do you want this to be solved ?

Answer:

wcw

Step-by-step explanation:

cw

(7 × 8) − (35 + 12) − (2 × 2) =

Answers

Answer:

5

Step-by-step explanation:

(7 × 8) − (35 + 12) − (2 × 2)

Solve the operations in the brackets

(56) − (47) − (4)

Subtract

9 − 4

5

I hope this helps!

Select the correct answer.
What is the simplified form of V 45?
A. V 5

B. V 9.5

C. 3 V 5

D. 5 V 3

Answers

Answer:

b v9.5 jhsvdjhdhw gegjdye gwheuebhedyeyhdhd

PLEASE HURRY 100 POINTS

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

A rectangular pyramid. The rectangular base has a length of 27.6 meters and height of 18.4 meters. 2 triangular sides have a base of 27.6 meters and height of 17.6 meters. 2 triangular sides have a base of 18.4 meters and height of 20.4 meters.
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))

Answers

The answer is B
hope you have a good day or night

What is the value of x in the equation 8x-2y = 48, when y= 4?
O6
O7
O 14
O 48

Answers

the answer should be B-7

Solve eight and three fifths minus two and four ninths.

Answers

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop 

T/F: An intercepted arc is twice the measure of the inscribed angle it was created from.

Answers

False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

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Camilla visited her parents in Belmont and took them out to dinner. Their dinner cost $112, and the sales tax in Belmont is 9%. If Camilla left an 18% tip on the $112, how much in total did she pay?

Answers

Answer:

$366.24

Step-by-step explanation:

Camilla visited her parents in Belmont and took them out to dinner. Their dinner cost $112, and the sales tax in Belmont is 9%. If Camilla left an 18% tip on the $112, how much in total did she pay?

dinner cost $112

sales tax: $112 * 1.09 = $122.08

tip: $112 * 1.18 = $132.16

total: 112 + 122.08 + 132.16 = $366.24

In 2015, 120000 people voted. The number of viewers who voted in 2015 was 20% more than those in 2014. Calculate the numbers of viewers who voted in 2014

Answers

Answer:

Given;

120,000 people voted in 2015.

In 2015, 20% more people voted than 2014.

Therefore:

How many more people voted in 2015 = 20% of 120,000

= 24,000

Total number of people voted in 2014 = 120,000 - 24,000

= 96,000

Ans) 96,000 people voted in 2014.

Which expression is equivalent to 2.2-2.5

A

2.5−2.22.5-2.22.5−2.2

B

2.2+2.52.2+2.52.2+2.5

C

2.2+(−2.5)2.2+\left(-2.5\right)2.2+(−2.5)

D

2.2−(−2.5)2.2-\left(-2.5\right)2.2−(−2.5)

Answers

The equivalent expression will be;

⇒ 2.2 + (- 2.5)

What is an expression?

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

Given that;

The expression is,

⇒ 2.2 - 2.5

Now,

Since, The expression is,

⇒ 2.2 - 2.5

Hence, After solve we get;

⇒ 2.2 - 2.5 = - 0.3

By option 3, we have;

⇒ 2.2 + (- 2.5)

After solving, we get;

⇒ 2.2 - 2.5 = - 0.3

Thus, The correct expression will be;

⇒ 2.2 + (- 2.5)

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A number decreased by 10 is the same as 8 minus 2 times the number.

Answers

The number is x. And the value of x after calculating the equation is -2.

Let x be the number

A number decreased by 10 is the same as 8 minus 2 times the number.

(Twice a number) (decreased by) (8) (is equal to) (the number) (decreased by) (10)

   2x - 8  =  x  - 10.

So, we have:

2x - 8 = x - 10

subtracting x from both sides

2x - 8 - x = x - 10 - x

x - 8 = -10

adding 8 on both sides we get

x - 8 + 8 = -10 + 8

x = -10 + 8

x = -2

the number x, = -2

The number is x. And the value of x after calculating the equation is -2.

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How to elimination 18x-6y=-20 -9x+3y=15

Answers

The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10, which is a contradiction. This means that there is no solution to the system of equations.

What is an elimination?

To eliminate one of the variables, we need to manipulate one or both of the equations so that when we add them together, one of the variables is eliminated.

Let's start with the given equations:

18x - 6y = -20

-9x + 3y = 15

We can see that the coefficients of y in both equations are opposite, which means we can eliminate y by adding the two equations together. However, we need to make sure the coefficients of y have the same absolute value, so we'll multiply the second equation by 2:

18x - 6y = -20

-18x + 6y = 30

Now we can add the two equations together:

0x + 0y = 10

This equation simplifies to 0 = 10, which is a contradiction. This means that there is no solution to the system of equations. In other words, the two equations represent two parallel lines that never intersect.

Alternatively, we can recognize that the two equations represent the same line when simplified, since the second equation is simply half of the first equation. In this case, there are infinitely many solutions, since any point on the line satisfies both equations.

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Complete question is: The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10.

The graph of a linear function is shown on the grid.
What is the rate of change of y with respect tox for this
function?

A. 7/9

B. 3/4

C. -7/9

D. -3/4

The graph of a linear function is shown on the grid.What is the rate of change of y with respect tox

Answers

Answer: D)-3/4

Step-by-step explanation: Rate of change of y with respect to x implies the following formula...(y2-y1)/(x2-x1)...which is also the gradient of the line, you can substitute the value in accordance with the points already ahown in the grid to get, (7-1)/(-4-4)=-3/4

For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.

1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?

Answers

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Find the y-intercept and the slope of the line. y=-5/4x+3

Answers

Answer:

y intercept is (3,0) and slope is -5/4

Step-by-step explanation:

Look at the equation and know y=mx+b formula

How can you tell from the vertex form y=a(x- h2) + k whether a quadratic function has no real zeros? Choose the correct answer below. A. The quadratic function has no real zeros if a <0, k = 0 and h70. B. The quadratic function has no real zeros if a>0, k = 0 and h#0. C. The quadratic function has no real zeros if a>0 and k = 0 or a <0 and k = 0. D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0.

Answers

The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

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Need help now
1. Find the digit that makes 1,258 divisible by 9. (1 point)
02
03
06
0

Answers

Answer:

03

Step-by-step explanation:

03

Hi can anyone help me with question 1 and 3

Hi can anyone help me with question 1 and 3

Answers

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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help me please it’s 10 points:)

help me please its 10 points:)

Answers

Answer:

Step-by-step explanation:

Good luck

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How much should each member still raise, on average, to meet the goal? wPlease write it as a inequality A sample of 3 different calculators is randomly selected from a group containing 10 that are defective and 5 that have no defects. Assume that the sample is taken with replacement. What is the probability that at least one of the calculators is defective? Express your answer as a percentage rounded to the nearest hundredth without the % sign. ibsen's a doll's house is a realistic play that highlights many social issues of the time. discuss the themes and techniques in the play with reference to this statement. 4. Write three ratios equivalent to2:5 helpppvprfeeeepppppppp Please help. Worth more than 5 points. Submit the answers to the checkpoint questions in the text box with the Lesson Review.Part A CheckpointDirections: Complete each of the following questions.(PICTURE FOR THE FIRST QUESTION)1. Indicate the kind of energy represented in each example below:a. Burning fuel in a carb. Exploding an atomic bombc. Current moving in a wired. Tires sliding on pavement when brakes are appliede. Football player running for a touchdown2. All forms of energy except nuclear fission come from the _________.3. Energy is ______________. "fundamental rights keep changing according to time and circumstances." justify sedimentary rocks that are formed from physical/chemical process within the earth are given the general name of What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$? a client diagnosed with type 1 diabetes is place on a 1,800 calorie/day diet. the nurse instructs the client to use which food as a suitable exchange for a tablespoon of butter?a. 1/2 cup of milkb. 2 cups of yogurtc. 1/2 cup of cabbaged. 1 tbsp of mayonnaise if a restaurant in a summer tourist area is highly profitable during the summer months but unable to cover even its variable costs during the winter months, the restaurant should group of answer choices ogo out of business immediately, because no firm should continue to operate if it is losing money; odoing so is contrary to the idea of profit maximization. go out of business during the summer and only remain open during the winter months. ooperate during all months of the year as long as its profits during the summer exceed its losses during the winter. oshut down during the winter, but continue operating during the summer as long as the summer profits exceed the losses (fixed costs) during the winter shutdown period. Implement this design in 80x86 assembly language. Using the windows32 or windows64 framework, write a program that stores the primes in an array of doublewords primeArray, and display the prime numbers in primeArray using a single output box with 5 numbers per line. Pseudo code is below..data;declare corresponding data here;the text to hold the output message should have enough space to hold the numbers and;the new line charaters..codeprime[1] := 2; { first prime number }prime[2] := 3; { second prime number }primeCount := 2;candidate := 4; { first candidate for a new prime }while primeCount < 100 loopindex := 1;while (index ? primeCount)and (prime[index] does not evenly divide candidate) loopadd 1 to index;end while;if (index > primeCount)then {no existing prime evenly divides the candidate, so it is a new prime}add 1 to primeCount;prime[primeCount] := candidate;end if;add 2 to candidate;end while;store the "Prime Numbers" in the byte array with 0dh, oah embedded in there;for index := 1 to 100 loop {display the numbers 5 per line }insert the number in the corresponding position;if index is divisible by 5theninsert 0dh, 0ah;end if;end for; Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masses. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km. 2. Why was Lenin arrested? The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? How did Jack's family react to his imprisonment? A "no-haggle" pricing policy is a type of _____ pricing strategy.A. maximizing profitsB. sales orientationC. target returnD. status quoE. customer-oriented why were trade-agreements problematic?