solve -3 (x + 1) - 2x= -6

A x=1
B x=5
C x = -7
D x = -9

Answers

Answer 1

Answer: C

Step-by-step explanation:

Answer 2
the answer is x= 3/5

Related Questions

How many times does the quadratic function below the intersect the x-axis?

Answers

parabola can cross the x-axis once, twice, or never

What is a Turned triangle?
Please tell me QUICKLY.

Answers

like the place where you are applying TURNED TRIANGLE.

coz literrally it means that if the trianlge has for example angle a on its right side then we turn the triangle as a whole and make the turn such that angle a is anywhere else but not on our right side....

I believe the explanation is clear, if not do contact me

N a carton of a dozen eggs of which four are cracked, how many ways could you select 3 cracked and 2 good if you randomly select 5 eggs

Answers

The number of ways we can select 3 cracked and 2 good is 1200 ways.

Given there are 5 eggs in which 3 eggs are cracked and 2 eggs which are good.

We have to find the number of ways we can select 3 cracked and 2 good eggs from 5 eggs.

Number of ways can be found through permutations.

The factorial of n  equals the product of n with the smaller factorial..

Permutations is the technique of calculating  various ways in which objects from a set may be selected, generally without replacement, to form subsets.

n[tex]P_{r}[/tex]=n!/(n-r)!

So the number of ways will be 5[tex]P_{3}[/tex]*5[tex]P_{2}[/tex]

([tex]5P_{3}[/tex] for cracked eggs and [tex]5C_{2}[/tex] for good eggs)

=5!/(5-3)!*51/(5-2)!

=5*4*3*2!/2!*5*4*3!/3!

=5*4*3*5*4

=1200

Hence there are 1200 ways through which 3 cracked and 2 good eggs can be selected from 5 eggs.

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32. Which of the following would be in the solution set to the system of inequalities given below?
y< 2x - 4
2-y-3

(0,-5)

Both (0,-5) and (0, -2) are solutions

(0,-2)

No solution

Answers

Answer:

no

Step-by-step explanation:

Identify which of the following is not equivalent to 2 3/4.

Answers

The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.

Simplification of equivalent fractions

Simplification is a process that is used to make a fraction appear in its simplest forms.

The fraction given is = 2¾

The simplification of the fraction= 2^3/4 = 2

But simplification of 2¼ × 2½ is equal to;

2¼= 0.5

2½= 1

Therefore is not equivalent to 2¼ × 2½ when simplified.

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Using the diagram below, what is the measure of ZE?
A. 130°
B. 50°
C. 65°
D. 25°

Given: 1. ACAB-ACED
2. AB ED
1 mile = 5280 ft​

Answers

The measure of angle E is (b) 50°

How to determine the angle measure?

The given parameters are:

ΔCAB is similar to ΔCEDAB and ED are parallel

The similarity of the triangles implies that:

angle C = angle Cangle A = angle Eangle B = angle D

From the figure, we have:

angle A = 50

Substitute angle A = 50 in angle A = angle E

angle E = 50

Hence, the measure of angle E is (b) 50°

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What does the following expression mean? x <= y

Answers

As per inequality, it means that the value of x can be less than or equal to y.

Inequality in Mathematics

The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.

Type of Inequality

The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.

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give the volume of the triangular prism shown
A-440in^3
B-528in^3
C-880in^3
D-264in^3

Answers

Answer:

  D.  264 in³

Step-by-step explanation:

The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.

Edge dimension

The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...

  a² +8² = 10²

  a = √(100 -64) = 6 . . . . inches

Volume

The area of the top triangle is ...

  A = 1/2bh . . . . where b and h are the base and height dimensions

  A = 1/2(6 in)(8 in) = 24 in²

The volume of the triangular prism is ...

  A = Bh . . . . . where B is the area of the triangular base, and h is the prism height

  A = (24 in²)(11 in) = 264 in³

The volume of the triangular prism shown is 264 in³.

Which set of numbers may represent the lengths of the sides of a triangle?
A. (2,2,6)
B. (5,12,13)
C. (5,5,10)
D. (1,8,10)

Answers

Answer:

B. (5,12,13)

Step-by-step explanation:

The only answer with two side lengths that are greater than the largest side length.

URGENT WHOEVER ANSWERS CORRECTLY AND FAST GETS BRAINLIEST

What is the equation that can be used to find a percent of a number?

A .part = percent + whole

B. part = percent/whole

C. part = percent x whole

D. part = whole/ percent

Answers

Answer:

C

Step-by-step explanation:

Example
Find 55% of 200.

200 times 0.55 = 110

Answer: the answer is B

Step-by-step explanation:

if we want to find the percent of 700 people out of 4400 people, we would do 700/4400, which is equal to 0.16, or 16 percent.

Use Newton's method to approximate the zero of the function f(x)=x^3-4x+33 to five decimal places. Round any intermediate calculations, if needed, to no less
than six decimal places, and round your final answer to five decimal places.

Answers

The answer for this is f(c) x^3-4x+33

TIME REMAINING
43:25
Triangles X Y Z and X prime Y prime Z prime are shown.

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answers

Answer:

△XYZ ~ △X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'

Step-by-step explanation:

Reflection over any line is a rigid transformation that does not change angles or lengths. Dilation is a transformation that changes lengths by the same scale factor, but has no effect on angles. Dilated figures are similar to the original.

Application

When ΔXYZ is reflected over a vertical line, no lengths or angles are changed. When the reflected triangle is dilated by half, we get ...

  Y'X' = (1/2)YX . . . . . . . makes option 3 false

  X'Z' = (1/2)XZ . . . . . . . makes option 4 true

Since no angles are changed, we have ...

  Angle XZY ≅ Angle Y'Z'X'   (another name for angle X'Z'Y')

  ... makes option 2 true

Of course, the resulting triangle is similar to the original, so ...

  △XYZ ~ △X'Y'Z' . . . . . option 1 is true

A piece of PVC material weighs 0.063 pounds per cubic inch. What's the weight of a 36-inch piece of PVC pipe with an outside diameter of 0.82 inches and an inside diameter of 0.75 inches?

Answers

The weight of a 36-inch piece of PVC pipe is 0.20 pounds

How to determine the weight of a 36-inch piece of PVC pipe?

The given parameters about the 36-inch piece of PVC pipe are

Height, h = 36 inches

Outside diameter, D = 0.82 inches

Inside diameter, d= 0.75 inches

The volume of the PVC pipe is then calculated as:

V = πh(D/2)^2 - πh(d/2)^2

Substitute the known parameters in the above equation

V = 3.14 * 36 * (0.82/2)^2 - 3.14 * 36 * (0.75/2)^2

Evaluate the quotients

V = 3.14 * 36 * 0.41^2 - 3.14 * 36 * 0.375^2

Evaluate the exponents

V = 3.14 * 36 * 0.1681 - 3.14 * 36 * 0.140625

Evaluate the products

V = 19.002024 - 15.89625

Evaluate the difference

V = 3.105774 cubic inches

From the question, we have:

Weight =  0.063 pounds per cubic inch

So, the total weight is

Total weight = 3.105774 cubic inches * 0.063 pounds per cubic inch

Evaluate the product

Total weight = 0.195663762 pounds

Approximate

Total weight = 0.20 pounds

Hence, the weight of a 36-inch piece of PVC pipe is 0.20 pounds

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Study the following data set.

{8,15,9,18,9,17,22,10,11,9,13}

What is the quarterfinal range of the data set?

Answers

The interquartile range of the data set is 8

How to solve for the interquartile range

To do this we have to arrange in ascending order

= 8,9,9,9,10,11,13,15,17,18,22

Q2 = The median of the data is 11.

We have to find the median of the half before 11 and the median of the half after 11.

We would have

8,9,9,9,10

Q1 = 9

And 13,15,17,18,22

Q3 = 17

The interquartile range is

Q3 - Q1

= 17 - 9

= 8

The interquartile range of the data set is 8

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Correct question

Study the following data set.

{8,15,9,18,9,17,22,10,11,9,13}

What is the interquartile range of the data set?

What is quadratic equations by factoring

Answers

The concept of factoring quadratic equations simply is one of the ways to solve for the zeroes of the quadratic equation.

What is quadratic equations by factoring?

The concept of factoring quadratics is a technique which is characterized by expressing the quadratic equation ax2 + bx + c = 0 as a product of its associated linear factors as (x - f)(x - g), in which case, f and g are the roots of the quadratic equation ax2 + bx + c = 0.

Factoring is an important concept that helps express equations of any type in simpler forms The mode of operation of the factoring works such that, the polynomial is rewritten in a simpler form and consequently, expressed as a product of it's linear factors.

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A margin of sampling _______ is a statistical calculation for how accurate a poll's results are. quizlet

Answers

A margin of sampling "error" is a statistical calculation for how accurate a poll's results are.

What is sampling error?

A population parameter's sampling error is the discrepancy between the sample statistic used to estimate it and the parameter itself. For instance, sampling error is the variance between a population mean and a sample mean.

The sampling errors can be placed into four categories:

population-specific error: The researcher makes a population-specific error when they are unsure of the appropriate population to sample. When respondents choose to participate in the study on their own, a selection error arises. (This limits responses to those who are interested, which spoils the results.)selection error: The sampling error for a sample chosen using a non-probability method is known as selection error. Selection error can result when participants opt to self-participate in a study and only those who are interested reply, as there may already be an underlying bias.sample frame error: When the incorrect sub-population is utilized to select a sample, a sample frame error happens. Last but not least, a non-response problem happens when potential responders cannot be reached or refuse to respond.non-response error: Non-response error is a mistake that happens when a survey doesn't receive a response to one or more questions.

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Write a function of the geometric sequence with a starting term of 8 and a common ratio of 2. Find the fourth term.

Answers

The expression that represents well the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64. (Correct choice: B)

How to analyze geometric sequences

Geometric sequences are exponential expressions with discrete domain, whose form is presented and explained below:

[tex]f(n) = a \cdot r^{n-1}[/tex], where a, r are real numbers and n is a natural number.     (1)

Where:

Value of the starting term.Common ratio of the series.

According to the statement, we know that the first term of the geometric sequence is 8 and between any two consecutive terms there is a common ratio of 2. If we know that a = 8, r = 2 and n = 4, then the fourth term of the series by means of (1) is:

[tex]f(4) = 8 \cdot 2^{4-1}[/tex]

f(4) = 8 · 8

f(4) = 64

The expression that represents the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64.

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The table represents a linear function.

A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10.
What is the slope of the function?

–3
–2
3
4

Answers

The slope of given data is a -3.

According to the statement

we have given a some data and we have to find the slope of the data.

So, data given is:

x, has the entries, negative 2, negative 1, 0, 1, 2.

y, has the entries, negative 2, 1, 4, 7, 10.

and we have to find the slope of the data

So, we know that it is a data represent in the graph then

We know that a there is a graphical representation of data.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

And when we observe this data then we see that the there is some increase the y axis value as compare to the x axis values.

So,

For each unit of run in the x-values, there is an increase of 3 in the y-values. The slope is rising over Run so 3/1 = 3

So, The slope of given data is a -3.

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Answer: the answer is a -3

Step-by-step explanation:

Write the expanded expression in expanded form using the definition of an exponent.
2wz^2?

Answers

The expanded form of the given expression is 2 × w × z × z

Writing an expression

From the question, we are to determine the expanded form of the given expression

The given expression is

2wz²

To write an expression in an expanded form, we will write the expression as a repeated multiplication in the simplest way possible.

To do this, we will first expand the index in the given expression.

The index in the given expression is z²

Thus, we get

z² = z × z

Now, we will include the remaining individual terms in the expression and write them as product.

That is,

2wz² = 2 × w × z × z

Hence, the expanded form of the given expression is 2 × w × z × z

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A credit card company charges a late fee of 10% on all late payments. last month, jamal was charged a late fee. the total amount paid, including the late fee, was $275. what was the original amount on the credit card before the late fee?

Answers

Answer:

265

Step-by-step explanation:

You subtract 275 minus 10

$247.5 was the original amount on the credit card

Lets simplify the problem,

Total amount after late fee = $275

Late fee deduction = 10%

Original amount = 275 - 10% of 275

= 275 - 27.5

= $247.5

So $247.5 was the original amount on the credit card before the late fee.

Percentage:

In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.

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which statement best compares the rate of change of the two functions?

Answers

Answer:

For every x value, the y value would be double of the x value. (ex, x=2, y=4)

Step-by-step explanation:

If you look closely at every x value and see their y-values for the ordered pair, you will see that the x-value in question was doubled in order to find the y-value. This will result in the linear equation: [tex]y=2x[/tex].

Answer:

6288388288288828ffjfjjrjir

The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. The median of the three numbers is 5. What is their sum

Answers

Answer:

Sum is

Step-by-step explanation:

please help! Which system of inequalities represented by the graph?

Answers

Answer: B

[tex]x + 2y \leq 4 \textrm{ and } 3x + y \leq 4[/tex]

Step-by-step explanation:

Insert the values of x and y for any point in the heavily shaded region and see if it satisfies both inequalities

We can see that the origin (0,0) is inside the shaded region so use these values because they are the easiest to compute

Plug in x = 0 and y = 0 into the first inequality
0 + 2.0 = 0 which is greater than 5.

So we can eliminate both A and D since they both contain incorrect inequalities

Now, test the second inequality with x = 0 and y = 0

For B we get

3.0 + 0 = 0 which is indeed less than 4

C is not applicable since 0 is not greater-than-equal to 4

Hence B is the correct solution

This can be verified using a graphing tool (see image)

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.34 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Using the normal distribution, we have that:

The diameter that separates the top 8% is of 5.38 mm.The diameter that separates the bottom 8% is of 5.30 mm.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for this problem are given, respectively, by:

[tex]\mu = 5.34, \sigma = 0.03[/tex]

The 8th percentile separates the bottom 8%, that is, X when Z = -1.405, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 5.34}{0.03}[/tex]

X - 5.34 = -1.405 x 0.03

X = 5.30.

The 92th percentile separates the top 8%, that is, X when Z = 1.405, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 5.34}{0.03}[/tex]

X - 5.34 = 1.405 x 0.03

X = 5.38.

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help please its my last one!

Answers

Using compound interest, it is found that they must deposit $9,143.47 in order to have the desired amount.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

For this problem, the parameters are:

A(15) = 30000, r = 0.08, n = 4

Then we solve for P to find the initial deposit:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]30000 = P\left(1 + \frac{0.08}{4}\right)^{4 \times 15}[/tex]

[tex]P = \frac{30000}{(1.02)^{60}}[/tex]

P = $9,143.47.

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please do this asap with the correct answer!!

Answers

The percentage of population has a resting heart rate is 15.7%.

Given that the mean of the data is 70 beats per minute and standard deviation is 4 beats per minute.

A probability distribution is a mathematical function that describes the probability of several possible values ​​of a variable.

Mean, μ=70

Standard deviation, σ=4

Given that the heart rate is resting between 74 and 82.

Now, we will use the standard normal formula

P(x₁<x<x₂)=P((x₁-μ)/σ<x<(x₂-μ)/σ)

Here x₁=74 and x₂=82.

Substitute these values in the formula, we get

P(74<x<82)=P((74-70)/4<x<(82-70)/4)

P(74<x<82)=P(4/4<x<12/4)

P(74<x<82)=P(1<x<3)

P(74<x<82)=P(x<3)-P(x<1)

Now, we will find the values by using the z-table, we get

P(74<x<82)=0.998-0.841

P(74<x<82)=0.157

P(74<x<82)=15.7%

Hence, the percentage of the population has a resting rate between 74 and 82 with the mean data is 70 beats per minute and the standard deviation data is 4 beats per minute is 15.7%.

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If B P ⊥ P C , what is m B C ^ ? 180 90 60

Answers

The measure of angle BC (m ∠BC) is 90°

Perpendicular lines

From the question, we are to determine the measure of angle BC

From the given information, we have that

B P ⊥ P C

This means line BP is perpendicular to line PC

The angle between two perpendicular lines is 90°

Hence, the measure of angle BC (m ∠BC) is 90°.

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What is an appropriate display to show the spread of 150 test scores for Mrs. Hansen's last science test?
(ignore my answer, i didn't mean to click it)

Answers

The  appropriate display to show the spread of 150 test scores for Mrs. Hansen's last science test is: b.  box and whisker plot.

What is box and whisker plot?

Box and whisker plot which is also called box plot can be defined as the plot that show a graphical presentation of data set by helping to display the data set or data score .

Hence a graphical presentation display to show the spread of 150 test scores for Mrs. Hansen's last science test is option B which is Box and whisker plot .

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Jina needs to solve a problem that involves using a different type of units for angle measure. The problem given to her to calculate 6/5 * 240

Answers

The value of the expression 6/5 * 240 is 288

How to calculate the expression?

The expression is given as:

6/5 * 240

Divide 240 by 5

6 * 48

Multiply 6 and 48

288

Hence, the value of the expression 6/5 * 240 is 288

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5. You are a game manufacturer. You and your team are trying to
find the best pair of dice for a new board game you have made. You
are examining the possible results of using one 6-sided die and
one 10-sided die and rolling them together. If the random variable
is defined as the sum of the two dice when rolled, which of the following
values are included in the random variable?
0
16
1
14
10
17
All of the above

Answers

The values that are included in the random variable of the experiment that include rolling one 6-sided die and one 10-sided die are 10, 14 and 16

How to determine the values in the random variable?

The experiment elements are given as:

One 6-sided dieOne 10-sided die

The sample spaces of both dice are:

6-sided = {1, 2, 3...., 6}

10-sided = {1, 2, 3...., 10}

When the outcomes of both dice are added, we have:

Sample space = {2, 3, 4, 5, 6, 7, 8, 9, .............. 16}

Minimum = 2

Maximum = 16

This means that the values that are included in the random variable are in the range 2 - 16 i.e. starting from 2 and ending in 16

Hence, the values that are included in the random variable of using one 6-sided die and one 10-sided die and rolling them together are 10, 14 and 16

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Other Questions
Move the water level slider up to 1.8 m-just under the 1.83 m sea-level rise expected in this area under the "high intermediate" scenario by 2100. a. Use a colored pencil to sketch the coastline on Fig. A17.6.50 as it will be if local sea level rises by 1.8 m (-6 ft). b. Given the steady northward drift of the coastline as GMSL rises, what actions do you think Floridians should plan to take in response to this change? Explain. 15 points! is El Salvador communist? Which idea is expressed in this excerpt from the Constitution?OA. It is more important for the government to run efficiently than toprotect individual rights.OB. The structure of the government will change over time.OC. An individual's right to justice is something the government canprotect.OD. The powers of government should be separated among itsbranches. Annual demand for a particular LED bulb is 24500 at a lamp manufacturer that operates 350 days per year. The supplier is located in a bordering region and consequently the lead time is 3 working days. Each order to the supplier is for an EOQ of 115 units.a) Assuming constant demand during lead time, what is the reorder point?b) The usage of the LED bulbs is not constant and the demand during lead time is not constant. Assuming that demand during lead time follows a normal distribution with a mean of 210 and a standard deviation of 64. What is the required reorder point for a service level of 90%, (i.e. 0.90)?c) Assuming now that demand during lead time for LED bulbs has the following empirical distribution. For a reorder point of 242, what is the safety stoc Mu is walking laps to raise money for charity. For each lap she walks, her sponsors will donate \$7$7dollar sign, 7. Mu has walked lll laps and raised a total of \$105$105dollar sign, 105. Write an equation to describe this situation the role or facade that a character assumes or depicts to a reader or other audience./ speaker, narrator who is not the author is called ... wastes from duck farms used to wash into two shallow-water bays on long island, new york. the wastes, rich in nutrients such as nitrate and phosphate, polluted the water. what do you suppose was the immediate effect of the pollutants? can you speculate on the likely effects on the commercially valuable shellfish of the area? use the remainder theorem and synthetic division to find (1) for () = 4^4 16^3 7^2 20 (answer in form f(x) = (x-k) q(x) r and show that f (k) =r) Calculate the wavenumber of the lowest energy transition in the B series of the electronic spectrum of the Hetion. The Rydberg constant for He is Rhe = 109707 cm-1. A. 21332 cm-1 B. 5332 cm-1 C. 21941 cm-1 D. 109707 cm-1 hich of the following refers to the type of interaction between two prokaryotic populations in which one population benefits and the other is not affected? neutralism commensalism parasitism mutualism Suppose you have a string matching algorithm that can take in (linear) strings S and T and determine if S is a substring (contiguous) of T. However, you want to use it in the situation where S is a linear string but T is a circular string, so it has no beginning or ending position. You could break T at each character and solve the linear matching problem |T| times, but that would be very inefficient. Show how to solve the problem by only one use of the string matching algorithm. This has a very simple, cute, solution when you see it. the area bounded by y=x2 5 and the xaxis from x=0 to x=5 is how have changing demographics and cultural shifts impacted the way in which americans perceive and pursue the american dream? cost-benefit analysis determines how long it takes an information system to pay for itself through reduced costs and increased benefits. True or false Find the outward flux of the vector field F = (x y)i + (y x)j across the square bounded by x = 0, x = 1, y = 0, y = 1. (Use the outward pointing normal). (a) Find the outward flux across the side x = = 0,0 < y < 1: M 1. Evaluate arcsin 2 2 a. in radians b. in degrees 2. Evaluate arccos 2 a. in radians b. in degrees 3. Evaluate arctan(- (V3)): a in radians b. in degrees 3 4. Evaluate arcsin 2 a. in radians b. in degrees a contract should have a descriptive title, which is generally in all capital letters, underlined and centered at the top of the page.True or False The product life cycle concept is a useful tool for managers because it ___a. can be used to predict the ultimate length of the life span for a product. b. recognizes that products must be managed differently over time. c. can be use to control internal costs of operation. d. is applicable to fads. e. automatically signals when a product has entered the growth stage of the life cycle if the age of the earth is 4.6 billion years, what should be the ratio of 206pb 238u in a uranium-bearing rock as old as the earth? what action did the trump administration take with respect to student loan policy in its first year?