i need help………………………………

I Need Help

Answers

Answer 1

The domain and the range of the piecewise function for this problem are given as follows:

Domain D: All real values.Range R: [-2, ∞).

How to find the domain and the range of a function?

The domain of a function is the set that contains all the values assumed by the values of x of the function.The range of a function is the set that contains all the values assumed by the values of y of the function.

For this problem, the piecewise function is defined for all values of x, hence the domain is all real values.

The range is obtained as follows:

Up to x = 3: Positive infinity to y = -2, which is the least value assumed at x = 3.From x = 3 to x = 5: values from y = 3 to y = 5, which are already in the range for the above interval.x = 5 and greater: constant at y = -1, which is already in the range.

Hence the range is given as follows:

[-2, ∞).

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Related Questions

i need help with pleaseee

Answers

The points are plotted on the graph below.

What are the Coordinates?

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given a coordinate plane.

We have to plot the points given.

(0, 1/2) is a point on the Y axis, since the x coordinate is zero. y coordinate will be in the middle of 0 and 1.

(1, 1 1/2) is a point at a distance of 1 to the right from the origin and at a distance of 1 1/2 to the up from the origin.

(2, 2 1/2) is a point at a distance of 2 to the right from the origin and at a distance of 2 1/2 to the up from the origin.

These points are plotted in the graph below.

Hence the graph is shown below.

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Sam is paid $12.45 per hour for a 37.5 hour week plus 6% of sales for a week. What would Sam's sales have to be for him to earn $800 in a week?

Answers

Answer:

ok Let’s calculate the money Sam makes per week, not including sales (or Assuming $0 in sales):

Money per week =$6.45/hour×37.5 hours/week= $241.88/week  

The money he Gains from sales must make up the difference, So

money from sales = $400−$241.88 = $158.12  

This Money is only 6% or 0.06 of the total sales though, so

Total sales = $158.120.06 = $2635.33  

of course, this is Assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would Have to make $2635.50 in sales (about 17 cents more).

Step-by-step explanation:

have a nice day.

Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
Y >1/2x-1
Y ≥-3/4x-6

Answers

The solution to the inequality are the region in the shaded area

How to determine the solution to the inequality

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

Y >1/2x-1

Y ≥-3/4x-6

Represent properly

y > 1/2x - 1

y ≥ -3/4x - 6

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (-4, -3)

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The equation ŷ = 67.34x - 128,933.4 predicts a rodent population in a town in year x.
According to the equation, what was the rodent population in 2005?
Enter your answer in the box. Round to the whole number.

Answers

The predicted rodent population in the town in 2005 was approximately 6083.

What was the rodent population in 2005?

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

ŷ = 67.34x - 128,933.4

To find the rodent population in 2005, we need to substitute x = 2005 into the equation and solve for ŷ:

ŷ = 67.34(2005) - 128,933.4

So, we have

ŷ = 135016.7 - 128,933.4

Evaluate

ŷ = 6083

Hence, the predicted rodent population was 6083.

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a sample from a refuse deposit near the strait of magellan had 60% of the carbon-14 found in a contemporary living sample. how old was the sample?

Answers

The sample is approximately 50,000 years old, as the amount of Carbon-14 in it is lower than that of a contemporary sample.

1) Calculate the ratio of Carbon-14 in the sample compared to a contemporary sample.

Ratio = (60/100) = 0.6

2) Calculate the number of half-lives since the sample was alive.

Number of half-lives = ln(0.6) / ln(0.5) = 0.69897

3) Calculate the age of the sample.

Age of sample = (0.69897 x 5730) = 4020 years

60% of the Carbon-14 identified in a sample taken from a waste site close to the Strait of Magellan was present in the sample from the trash deposit. We must first determine the sample's carbon-14 ratio in relation to a more recent sample in order to determine the sample's age. This ratio is equivalent to the sample's 60% carbon-14 content, or 0.6, when divided by 100. The number of half-lives since the sample has been alive may then be determined by taking the natural log of the ratio and dividing it by the natural log of 0.5, which is 0.69897. By dividing the quantity of half-lives by the 5730-year half-life of carbon-14, we may finally determine the sample's age.

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What is the value of x?
2x
x +4
X+1
12

Answers

Answer:

x = 8

Step-by-step explanation:

AB/AC = BD/DC

2x/12 = x+4/x+1

12x + 4 = 2x² + 2x

2x² - 10x - 48 = 0

x² - 5x - 24 = 0

(x-8) (x+3) = 0

x = 8 (or) x= -3 (impossible)

x = 8

How many solutions does this system of equations have? y=-2x+2 and 2y+4x=4

Answers

The system of equations will have a unique solution.

What is a system of equations?

A finite set of equations for which we searched for common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

Given that the equations are:-

y=-2x+2 and 2y+4x=4

Convert the equations into general form,

2x + y = 2

4x + 2y = 4

If the ratio of a₁ / a₂ is not equal to the ratio of b₁ / b₂ the equation will have a unique solution. And if are equal than the equation will have infinitely many solutions.

2 / 4 = 1 / 2 = 2 /4

1 /2 = 1/ 2 = 1/ 2

The equation will have many solutions.

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Solve for k:
k-
-
k =
I
96

Answers

Answer: look it up frfr

Step-by-step explanation:

Original Price Percent of Discount Sale Price
$
64% $72

Answers

The original price when 64% is applied to the item will be $200.

What is the percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentile in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value × 100

Let 'x' be the Original Price. Then the equation is given as,

(1 - 0.64) x = $72

0.36 x = $72

x = $200

The original price when 64% is applied to the item will be $200.

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a student measures the mass of a rock three times using the same properly calibrated analog (not digital) balance and gets slightly different values: 22.46g, 22.42g, and 22.44g. what type of error may have occurred here (systematic and/or random)? how would the student minimize the impact of this error during data analysis?

Answers

The errors that may have occurred in the student's measurements are random errors. These types of errors can arise from various sources, such as slight variations in measurement techniques or environmental factors.

Since the measured values are slightly different, it suggests that random errors affected the measurements rather than systematic errors, which would result in consistently incorrect measurements.

To minimize the impact of random errors during data analysis, the student can calculate the average of the three measured values. The average value can serve as the best estimate of the true value of the mass of the rock. Additionally, the student can calculate the standard deviation of the measured values to determine the precision of the measurements. The smaller the standard deviation, the more precise the measurements.

The student can further minimize random errors by taking multiple measurements and averaging them to obtain a more accurate value. Additionally, using a digital balance instead of an analog one may reduce random errors as digital balances have greater precision and accuracy.

It is also important for the student to use proper measurement techniques such as ensuring that the balance is calibrated and zeroed correctly before each measurement. The student should also avoid applying excessive force on the balance and ensure that the rock is stable and level during measurement.

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two numbers are in the ratio 5:4 if the smaller is 32 find the greater one.

Answers

Answer:

The greater number is 40.

Step-by-step explanation:

Greetings!!!

The given two numbers ratio.

[tex] \frac{5}{4} [/tex]

The smaller number is 32

[tex] \frac{5}{4} \times 32[/tex]

convert elements into fraction

[tex] \frac{5}{4} \times \frac{32}{1} [/tex]

Apply fraction rule

[tex] \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} [/tex]

Multiply the numbers

[tex] \frac{5 \times 32}{4 \times 1} [/tex]

Divide the numbers

[tex] \frac{32}{8} = 8 \\ 8 \times 5 = 40[/tex]

Hope it helps!!!

The graph shown here is the graph of which of the following rational
functions?

Answers

The rational function on the graph is the one in options B.

f(x) = 1/(x - 1)

Which equation describes the graph?

Here we can see that the we have the graph of a rational function.

Notice that we have an asymptote  at x = 1.

That means that the denominator becomes zero when we evaluate the function in x = 1.

Then the denominator is something like:

x + a

And when x = 1 we get:

1 + a = 0

a = -1

Then the denominator is:

x - 1

And the rational function is:

f(x) = 1/(x - 1)

The correct option is B.

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A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

What is the answer and the steps to this question?

Answers

Answer:

The probability of rolling a 1 or a 4 on a single roll of the number cube is 2/6, or 1/3. So the expected number of times the number cube will land with a 1 or a 4 on the top face after 400 rolls is 400 * 1/3 = 133.33.

The range that contains this expected value is roughly between 130 and 140, so a good prediction for the number of times the number cube will land with a 1 or a 4 on the top face is between 130 and 140.

Step-by-step explanation:

The accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
​a) Which would you expect to be​ larger: the median or the​ mean? Explain briefly.
​b) Which would you​ report: the median or the​ mean? Explain briefly.

Answers

The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.

a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.

In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.

b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.

In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.

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consider the following regression model: which of the following is an algebraic property of ols estimates of this model and its associated statistics? group of answer choices the sum, and therefore the sample average of the ols residuals, is positive. the sum of the ols residuals is negative. the sample covariance between the regressors and the ols residuals is zero. ols sample regression line always passes through the sample average of x and sample average of y both a and b are correct both a and d are correct both c and d are correct none of the above

Answers

Option (c) is correct: the sample covariance between the regressors and the OLS residuals is zero. This is an important property because it implies that the OLS estimator is not biased and the estimated coefficients of the independent variables are consistent.

The algebraic property of OLS (Ordinary Least Squares) estimates is that the sample covariance between the regressors and the OLS residuals is zero. This means that the OLS estimates are unbiased and not correlated with the independent variables in the regression model.

Option (a) is incorrect: the sum, and therefore the sample average of the OLS residuals, can be either positive or negative depending on the distribution of the data and the fit of the model.

Option (b) is also incorrect: the sum of the OLS residuals can be either positive or negative depending on the distribution of the data and the fit of the model.

Option (d) is incorrect: the OLS sample regression line does not always pass through the sample average of x and the sample average of y. However, it does pass through the point of averages when the model includes a constant term (i.e., intercept).

Therefore, the correct answer is (c): the sample covariance between the regressors and the OLS residuals is zero.

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ASAP Select the correct answer.

What is the slope of the line that goes through the points (-4,2) and (8,5)?

A.-4

B.-1/4

C.1/4

D.4

Answers

the formula for finding the slope is m = y2-y1/x2-x1, so -4 - 8 is -12 and 2 - 5 is -3. we would then get -12/-3 which simplifies to 4.

The answer would be D, 4.

If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below.

Answers

Answer:

D. 8/11

Step-by-step explanation:

why ?

the sum of the probabilities of all possible outcomes of an experiment must always be 1.

because there always has to be an outcome - one of the many possibilities.

the reality has to be part of this list of possibilities, and so, their total sum is 1 : the sure event.

the probability of A is 1/11.

of B is 1/11.

of C is 1/11.

A + B + C + D = 1

1/11 + 1/11 + 1/11 + D = 1

3/11 + D = 1

D = 1 - 3/11 = 11/11 - 3/11 = 8/11

How do I find the roots of a cubic equation?

Answers

Answer:First, we need to find which number when substituted into the equation will give the answer zero. Therefore is a factor. Factorise the quadratic until the expression is factorised fully. Therefore the roots occur when = -3, -2 and 1.

Step-by-step explanation:

Answer:

by reducing it into a quadratic equation and then solving

Step-by-step explanation:

someone help me pls :b

Answers

Answer:

13 months

Step-by-step explanation:

(b)

let C(x) = 431.5 and solve for x , that is

29x + 54.5 = 431.5 ( subtract 54.5 from both sides )

29x = 377 ( divide both sides by 29 )

x = 13

that is cable service for 13 months

Please help!!!

Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.

1. (3.0) dilated by scale factor of 1/3 a (0, 6)

2. (3,4) dilated by scale factor of 1/3 scale factor b (1,0)

3. (0,4) after dilation with a scale factor of 1/3 c (0, 4/3)

4. (3,0) after dilation with a scale factor of 3/2 d (1, 4/40

5. (3,4) after dilation with scale factor of 3/2 e (9/2, 0)

6. (0,4) after dilation with a scale factor of 3/2 f (9/2, 6)

Answers

The required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy)  where s is the scale factor,

Since matching the above equation with the option,

(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0)  (False)
(0,4) after dilation with a scale factor of 1/3 is  (0, 4/3)  (True)

Thus, the required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

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Using a ruler and a pair of compasses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.

Answers

How to construct the right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.

Constructing the Triangle

Given:

Base = EF = 6 cmHypotenuse = ED=11 cmThe angle between EF and ED= 90֯

To find:

Construct a right-angle triangle DEF

1. Draw the line segment2. Then mark the center of the line segment.3. In the compass set its width to 6 cm.4. Keep the pointer of the compass on the midpoint C and marc arcs on both sides of C5. Mark points E and F where the arc crosses the line.6. Again set the width of the compass to the length of the hypotenuse, which is 11 cm.7. Keep the pointer of the compass in E and draw an arc above midpoint C.8. Repeat the above step keeping the pointer on F.9. Label the point as D where the arcs cross.10. Join the points DE and DF with the scale.11. Thus, we get the right-angled triangle DEF of necessary measurements

The constructed right-angle triangle DEF is given below:

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Please help!

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

Answer: 1.25 and 1.33

Step-by-step explanation:

question 3:

both sides of 24 became sides that measure 30.

24 times x = 30

therefore x, the scale factor, is 1.25

question 4:

3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)

15 times x = 20

20 divided by 15 is 1.33 repeating, so 4/3

If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.

If A = {3,5,9} and B

{2,4,5,6,9,12}, what is AU B?

Answers

For the given sets A = { 3, 5, 9 } and set B = { 2, 4, 5, 6, 9, 12 } then the value of AU B is equal to { 2, 3, 4, 5, 6, 9, 12 }.

Two different sets A and set B are equal to :

Set A =  { 3, 5, 9 }

Set B =  { 2, 4, 5, 6, 9, 12 }

Union of two different set A and B is defined as set having all the elements of set A and set B .

Union of two sets A and B is represented by AU B .

AU B

=  { 3, 5, 9 } ∪  { 2, 4, 5, 6, 9, 12 }

= { 2, 3, 4, 5, 6, 9, 12 }

Therefore, the union of two given sets A and set B is given by :

AU B =  { 2, 3, 4, 5, 6, 9, 12 }.

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PLEASE help me understand the steps to solve this i feel like crying i dont understand

Answers

Answer:

4

Step-by-step explanation:

First:

(-2 1/2)*(-1 3/5) = 2.5*1.6

Second:

2.5*1.6=5/2*8/5

Third:

5/2*8/5=

4

An AP has first term 7 and common difference 4. If the sum of all it's terms is 900,how many term are there?

Answers

If an AP has first term 7 and common difference 4. If the sum of all it's terms is 900, then there are 3 terms.

Let's use the formula for the sum of an arithmetic progression to solve this problem:

S = n/2[2a + (n-1)d]

where S is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.

We know that a = 7 and d = 4, and we're given that S = 900. Substituting these values into the formula, we get:

900 = n/2[2(7) + (n-1)(4)]

Simplifying the expression inside the brackets:

900 = n/2[14 + 4n - 4]

900 = n/2[10 + 4n]

Multiplying both sides by 2 to eliminate the fraction:

1800 = n[10 + 4n]

Simplifying the right-hand side:

1800 = 4n^2 + 10n

Rearranging to get a quadratic equation in standard form:

4n^2 + 10n - 1800 = 0

We can solve for n using the quadratic formula:

n = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 4, b = 10, and c = -1800, so:

n = (-10 ± √(10^2 - 4(4)(-1800))) / 2(4)

n = (-10 ± √(100 + 28800)) / 8

n = (-10 ± √(28900)) / 8

n = (-10 ± 170) / 8

n = 20/8 or n = -180/8

n = 2.5 or n = -22.5

Since the number of terms must be a positive integer, we can discard the negative solution and conclude that there are 2.5 terms. However, this doesn't make sense because the number of terms in an arithmetic progression must be a whole number. Therefore, we need to round up to the nearest whole number, which gives us:

n = 3

Therefore, there are 3 terms in the arithmetic progression with first term 7 and common difference 4, and the sum of these terms is 900.

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how many sides does a regular polygon have if each interior angle measures 172

Answers

A regular polygon with an interior angle of 172 degrees has 20 sides.

The formula to find the measure of an interior angle of a regular polygon is:

Interior angle = (n-2) x 180 / n

where n is the number of sides of the polygon.

Setting the equation equal to 172 and solving for n, we get:

172 = (n-2) x 180 / n

172n = 180n - 360

8n = 360

n = 45

Therefore, the regular polygon has 45 sides, but since the question asks for a regular polygon, all sides must be equal and all interior angles must be congruent. The only regular polygon that satisfies these conditions with an interior angle of 172 degrees is a regular 20-sided polygon.

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If 10,000 is deposited into a savings account that pays 2. 3% annual interest, how much more would the

Answers

The account would contain 10,230.00 after 1 year.the amount in the account after 1 year, we can use the formula: [tex]P (1 + r/n)^nt[/tex]

To find the amount in the account after 1 year, we can use the formula:[tex]P (1 + r/n)^nt[/tex]

Where,

P = Principal Amount

r = Rate of Interest

n = Number of times the interest is compounded per year

t = Time in years

For this question,

P = 10,000

r = 2.3%

n = 1

t = 1

Therefore,

[tex]10,000 (1 + 0.023/1)^1*1\\10,000 (1.023)^1[/tex]

10,000 x 1.023

= 10,230.00

The complete question is:

If 10,000 is deposited into a savings account that pays 2.3% annual interest, how much more would the account contain after 1 year?

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What is 100 x 2 - 100 ?

Answers

Answer:

100

Step-by-step explanation:

100x2=200

200-100=100!

Answer:

100

Step-by-step explanation:

First do 100 multiplied by 2 you will then get 200

Next step is to do 200 subtracted by 100 which will give you 100.

Pls help i’m desperate

Answers

Answer: 5/13

Step-by-step explanation: cos is adj/hyp giving us a 12 for adj and 13 for hyp. Tan is Opp/Adj confirming 12 is the adj and 5 being the Opp. Sin is Opp/Hyp giving us 5/13. Hope it helps

sean gets an average of 20 calls during his 8 hour work day. what is the probability that sean will get at most 9 calls in a 4 hour portion of his work day? round the final answer to three decimal places.

Answers

The probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.

The probability that Sean will get at most 9 calls in a 4 hour portion of his work day can be calculated by using the Poisson distribution formula. The formula is [tex]P(x)=e^-μ(μ^x/x!)[/tex].

In this case, μ = 20/4 = 5.

Therefore, [tex]P(x=9) = e^-5(5^9/9!) = 0.037[/tex]

Rounding the answer to three decimal places, the probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.

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how many steps are there to improve listening skills how many bits are dedicated to the ipv6 os generated mac address? in the space provided, enter only the numeric value. describe zhu yuanzhangs life before he became the first emperor of the ming dynasty and renamed himself hongwu Simplify g x g please help me i really need help Bathtime by Connor Coyne who is the author? Who is the audience? Why is the writer writing? The emotional reason. What is the writer literally saying? which problems are most frequently at the root of relational breakups? Identify and Describe the principle of American governance that allows different states to make different laws to regulate its citizens. Are the first ten amendments known as the preamble? Please help I have no clue on what to do I will give you guys multiple points if you are able to help. HowwillHanson'ssprainedankleeffecthisabilitytofinishoutthefootballseason QuestionA system in which people select their representatives to exercise power is called _______.Arepresentative democracyBdirect democracyCpresidential democracyDelite democracy ____is the process by which a cell divides to produce two ___cells hmu people just want to chill and help yall and stuff Given the equation 6y = 336, solve for y. 342 330 56 6 SOMEONE PLEASE HELP ASAP!!!! Solve the triangle round to the nearest tenth. Diegos history teacher writes a test for the class with 30 problems. The test is worth 50 points and has two types of problems: multiple choice worth 1 point each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning. Diegos history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning Arrange the events in The Time Machine from earliest to latest, based on the Time Travellers perspectiveA) the time traveller explores the wells and finds a complex network of undeground tunnelsB) the traveller encounters the sub morlocksC) the traveller realizes people of the future belong to two different races called "eloi and morlocks."D) the traveller finds his machine missingE) traveller saves weena from drowningF) the travller realizes the morlocks have his machine a. Starting with the number 10, build a sequence of 5 numbers. A space alien named Zorg is working hard. In fact, as time goes by, Zorg works harder andharder: Zorg's power output depends on time as P= b3 where b is a constant coefficient.How much work will Zorg be able to perform between t = 0 and t = T? recent report suggests the proportion of general us population who believe in extraterrestrial life is 0.47. choose the appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life in greater than the general population?