Subtract (8n-5)-(-2n-3)

Answers

Answer 1

Answer:

Step-by-step explanation:

( 8n - 5 ) - ( -2n - 3 )

( 8n - 5 ) + ( 2n + 3 )

8n - 5 + 2n + 3

10n - 2


Related Questions

Solve for x square root of (2x^2+1)=0

Answers

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Help quick!!
Jace kicked a soccer ball at a speed of 40 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 40t. Determine the time the ball traveled. (1 point)
t = 0.4 seconds
t = 2.5 seconds
t = 24 seconds
t = 40 seconds

Answers

The time that the ball traveled is given as follows:

t = 2.5 seconds.

How to obtain the time that the ball traveled?

The quadratic function modeling the ball's height after t seconds is given as follows:

H(t) = -16t² + 40t.

To obtain the time traveled by the height, we must obtain the roots of the quadratic function, as follows:

-16t² + 40t = 0.

16t² - 40t = 0

t(16t - 40) = 0.

Hence the roots are:

t = 0.16t - 40 = 0 -> t = 40/16 -> t = 2.5.

Which means that the time traveled by the ball is given as follows:

2.5 - 0 = 2.5 seconds.

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Determine whether the expression 3m^3np^6 is a monomial.

Answers

The expression  3m³np⁶  is a monomial

A monomial is an algebraic expression that consists of only one term.

In this case, the expression 3m³np⁶ has a single term as it is the product of constants (3), variables (m, n), and their exponents (3, 1, and 6).

Therefore, it meets the criteria of a monomial.

Hence, the expression  3m³np⁶  is a monomial

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I don’t know the solution too this math problem

Answers

Answer:

Step-by-step explanation:

x° + 2x° + 9° = 180°

3x° + 9° = 180°

x° + 3° = 60°

x = 57°

Complete the work to solve for y: 2 5 ( 1 2 y + 5 ) − 4 5 = 1 2 y − 1 + 1 10 y 1.Distributive property: 1 5 y + 2 − 4 5 = 1 2 y − 1 + 1 10 y 2.Combine like terms: 1 5 y + 6 5 = 3 5 y − 1 3.Subtraction property of equality: 6 5 = 2 5 y − 1 Addition property of equality: 11 5 = 2 5 y 4.Division property of equality: What is the value for y?

Answers

The value of y is 4.4.

Let's go through the steps to solve for y:

Distributive property:

[tex]1/5y + 2 - 4/5 = 1/2y - 1 + 1/10y[/tex]

Combine like terms:

[tex]1/5y + 2 - 4/5 = 1/2y - 1 + 1/10y[/tex]

Simplify the equation by getting rid of fractions. To do this, we can multiply every term by the least common denominator (LCD) of 10:

[tex]10 * (1/5y + 6/5) = 10 * (3/5y - 1 + 1/10y)[/tex]

Simplifying further:

[tex]2y + 12 = 6y - 10 + y[/tex]

Now, let's combine like terms again:

[tex]2y + 12 = 7y - 10[/tex]

Next, let's isolate the variable y. Subtract 2y from both sides and add 10 to both sides:

[tex]12 + 10 = 7y - 2y[/tex]

Simplifying:

22 = 5y

Finally, divide both sides by 5 to solve for y:

y = 22/5

Note: It's important to check our solution by substituting y = 4.4 back into the original equation to ensure it satisfies the equation.

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Answer:

11/2

Step-by-step explanation:

11/5 = 2/5y

11 = 2y

y = 11/2

PLEASE HELP TIMED

The amount that two groups of students spent on snacks in one day is shown in the dot plots below.

Group A
A dot plot titled Group A. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.

Group B
A dot plot titled Group B. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 3 above 1, 2 above 2, 4 above 3, 0 above 4, and 1 above 5.

Which statements about the measures of center are true? Select three choices.
The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.
The median for Group A is 2.
The median for Group B is 3.

Answers

The three statements about the measures of center that are true include the following:

A. The mean for Group A is less than the mean for Group B.

B. The median for Group A is less than the median for Group B.

C. The mode for Group A is less than the mode for Group B.

How to calculate the mean for the set of data?

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Group A

Mean for Group A = [(1 × 5) + (2 × 4) + (3 × 1)]/(5 + 4 + 1)

Mean for Group A = (5 + 8 + 3)/10

Mean for Group A = 16/10

Mean for Group A = 1.6

Mode for Group A = 1

Median for Group A = (1 + 2)/2

Median for Group A = 3/2

Median for Group A = 1.5

Group B

Mean for Group A = [(1 × 3) + (2 × 2) + (3 × 4) + (5 × 1)]/(3 + 2 + 4 + 1)

Mean for Group A = (3 + 4 + 12 + 5)/10

Mean for Group A = 24/10

Mean for Group A = 2.4

Mode for Group B = 3

Median for Group B = (2 + 3)/2

Median for Group B = 5/2

Median for Group B = 2.5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: A,B,C

Step-by-step explanation:


Color Payout
Red $2
Blue $6
Green $6
Yellow $20
The game costs $5 to play. You win money based on the color the spinner lands on (the spinner can land on any color, not just green).
Payouts are as follows:
Find the expected value of the following game to the player.
Express your answer in dollars
rounded to the nearest cent (e.g.
$3.50)

Answers

Answer:

$2.25

Step-by-step explanation:

Red: $2

Blue: $6

Green: $6 + $5 (original cost of game) = $11

Yellow: $20

The total number of slots on the spinner is 4, with one slot for each color. Since the spinner can land on any color with equal probability, the probability of it landing on each color is 1/4 or 0.25.

Therefore, the expected value of the game is:

(0.25 x $2) + (0.25 x $6) + (0.25 x $11) + (0.25 x $20) - $5 = $2.25

2[tex]x^{2} =-8[/tex]

Answers

[tex]2x^2=-8\\x^2=-4[/tex]

No real solutions.

Complex solutions:

[tex]x=\sqrt{-4} \vee x=-\sqrt{-4}\\x=2i \vee x=-2i[/tex]

Drag each tile to the correct box.
Arrange the following pairs of coordinates in order from least to greatest based on the differences between the points.

(4,1) and (2,2)
(-5,2) and (-3,-2)
(3,-4) and (-2,1)
(-1,-2) and (1,-4)
(5,-2) and (-1,-1)

Answers

The pairs of coordinates arranged from least to greatest based on the differences between the points are:

(-1,-2) and (1,-4)

(4,1) and (2,2)

(-5,2) and (-3,-2)

(3,-4) and (-2,1)

(5,-2) and (-1,-1)

Let's calculate the differences and arrange the pairs accordingly:

(4,1) and (2,2):

Difference in x-coordinates: 4 - 2 = 2

Difference in y-coordinates: 1 - 2 = -1

(-5,2) and (-3,-2):

Difference in x-coordinates: -5 - (-3) = -2

Difference in y-coordinates: 2 - (-2) = 4

(3,-4) and (-2,1):

Difference in x-coordinates: 3 - (-2) = 5

Difference in y-coordinates: -4 - 1 = -5

(-1,-2) and (1,-4):

Difference in x-coordinates: -1 - 1 = -2

Difference in y-coordinates: -2 - (-4) = 2

(5,-2) and (-1,-1):

Difference in x-coordinates: 5 - (-1) = 6

Difference in y-coordinates: -2 - (-1) = -1

Now let's arrange them in order from least to greatest based on the differences in the points:

(3,-4) and (-2,1) (difference: 5)

(-1,-2) and (1,-4) (difference: 2)

(4,1) and (2,2) (difference: 2)

(-5,2) and (-3,-2) (difference: 4)

(5,-2) and (-1,-1) (difference: 6)

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Find the volume of the oblique rectangular prism below. Round your
answer to the nearest tenth if necessary.
9
8

Answers

The volume of the oblique rectangular prism that is given above would be = 212.4

How to calculate the volume of the oblique rectangular prism?

To calculate the volume of the oblique rectangular prism, the formula for the volume of a prism should be used which is given below. That is;

Volume of prism= L×w×h

where;

Length = 9

width = 4

height = ?

But the height of the oblique rectangular prism can be calculated using the sine formula;

That is;

height = 8× 0.7314

= 5.9

Therefore volume = 9×4×5.9 = 212.4

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Please someone help me. See the picture

Answers

The maximum error of the midpoint approximation is 0.55.

How to find the maximum error of the midpoint

To estimate the maximum error, we can consider the worst-case scenario by assuming that the second derivative is at its maximum value throughout the interval [11, 31]. In this case, we can use the largest possible value for M.

To find the maximum error of the midpoint approximation, we need to determine the width of the interval and divide it by 2.

Width of the interval = upper bound - lower bound = 10.5 - 9.4 = 1.1

Maximum error (E) = (Width of the interval) / 2 = 1.1 / 2 = 0.55

Therefore, the maximum error of the midpoint approximation is 0.55.

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QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.

A cone with diameter 17 inches and slant height of 22 inches.

What is the surface area of the cone?
SA = Pir2 + Pirl

A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2

Answers

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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3 1/5x+10 7/9-2 2/5x-10 8/9 (Simplify) I need the answer to this ASAP!

Answers

The simplified form of the expression 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 is 4/5x - 1/9.

To simplify the expression: 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9, we need to perform the addition and subtraction of the terms.

First, let's focus on the x terms: 3 1/5x - 2 2/5x.

The whole numbers can be treated as fractions with a denominator of 1. Thus, we have:

(3 1/5)x - (2 2/5)x.

To perform the subtraction, we need to find a common denominator for the fractions involved, which is 5.

(3 1/5)x - (2 2/5)x = (16/5)x - (12/5)x.

Now we can subtract the terms:

(16/5)x - (12/5)x = (16 - 12)/5x.

Simplifying further:

4/5x.

Now let's simplify the whole number and fraction terms: 10 7/9 - 10 8/9.

10 - 10 = 0.

The fraction terms can be simplified by finding a common denominator, which is 9:

(7/9) - (8/9) = (-1/9).

Now we can combine all the simplified terms:

3 1/5x + 10 7/9 - 2 2/5x - 10 8/9

= (4/5x) + 0 + (-1/9)

= 4/5x - 1/9.

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15. The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?

Answers

The required surface area of the larger solid is approximately 147 mm². Option A is correct.

We know that,

The surface area of any form is the area of the shape that is fronted.

The surface area of a 3D object is the amount of area covering the outside.

Let's say the surface area of the bigger solid S.

Since the two solids are similar, their volumes have a ratio of (side length)³.

Let's say the ratio of the side lengths of the larger to the smaller solid as k. Then,

⇒ k³ (540 mm³) = 857.5 mm³

Simplifying the above equation, we get:

⇒ k = 7/6

So, the larger solid is about 7/6=1.183 times bigger than the smaller solid in terms of side length.

Since the surface area has a ratio of (side length)²,

we can find the surface area of the larger solid by:

⇒ (1.83²)(108 mm³)

≈ 174 mm³

Therefore, the surface area of the larger solid is approximately 147 mm².

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Owen and Genesis are making fruit salads for a picnic. Owen mixes 14 cups of melon and 3 cups of apple and Genesis mixes 6 cups of melon and 1 cup of apple. Use owen and Genesis’s percent of melon to determine whose fruit salad will taste more melony.

Answers

Owen would be 82% whereas Genesises would be 86%! Hope that was helpful!

The area of the entire figure below is 1 square unit.
How can we describe the area of the striped rectangle?

Answers

Answer:

4/15 square unit (0.2667 rounded)

Step-by-step explanation:

The whole square is one square as

((1/10) x 10 (columns)) multiplied by ((1/3) x 3 (rows)) = 1 multiplied by 1 = 1.

So, with that, the area of the striped rectangles should be:

(1/10) x 4 (columns in the striped area of rects) multiplied by (1/3) x 2 (rows in the striped area of rects) = 0.4 multiplied by 2/3 = 4/15 square unit.

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer-It is answer A

AB =
Round your answer to the nearest hundredth.

Answers

Answer:

hello

the answer is:

Sin B = CA/AB ----> Sin 65° = 5/AB ----> 0.906 = 5/AB

----> AB = 5.51

Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her. if they both had a total of 260 stickers, how many stickers did Sally have to start?

Answers

There are 125 stickers did Sally have to start.

We have to given that,

Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her.

Let us assume that,

Joe had x stickers to start with.

Since, After Joe gave 1/5 of his stickers to her.

He have 4/5 of his original amount left.

That is, 4/5x

Since, Sally had 52 more stickers than Joe

Hence, We get;

4/5x + 52 = 1/5x + y  .. (i)

where y is the number of stickers Sally had to start with.

Here, they both had a total of 260 stickers,

Hence,

x + y =260  .. (ii)

From (i) and (ii);

y = 125

Thus, There are 125 stickers did Sally have to start.

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What is the surface area of the cylinder? Approximate using π = 3.14 and round to the nearest square meter.

a cylinder with a radius labeled 2.3 meters and height labeled 6.9 meters

336 square meters
133 square meters
84 square meters
73 square meters

Answers

The surface area of the cylinder is 133 square meters.

The formula for the surface area of a cylinder is given by:

Surface Area =  2πrh + 2πr²

Given that the radius (r) is 2.3 meters and the height (h) is 6.9 meters, we can substitute these values into the formula:

Surface Area =2 x 3.14 x 2.3 x 6.9 + 2 x 3.14 x 5.29

= 2 x 3.14 x 15.87 + 33.925

= 132.8848 square meter.

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Answer: B 133

Step-by-step explanation:

Given the functions listed,
a) Determine the rule for (f - g)(x)
b) Evaluate (f – g)(-2)

f(x)=2x^2-3x+4 & g(x) = 8x +7

Answers

The rule for (f - g)(x) is (f - g)(x) = 2x² - 11x - 3 and the value of (f - g)(-2) is 27

Determining the rule for (f - g)(x)

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

f(x) = 2x² - 3x + 4

g(x) = 8x + 7

The rule for (f - g)(x) is calculated as

(f - g)(x) = f(x) - g(x)

Substitute the known values in the above equation, so, we have the following representation

(f - g)(x) = 2x² - 3x + 4 - 8x - 7

So, we have

(f - g)(x) = 2x² - 11x - 3

Evaluating the function (f - g)(-2)

Here, we have

x = -2

Substitute the known values in the (f - g)(x) = 2x² - 11x - 3, so, we have the following representation

(f - g)(-2) = 2(-2)² - 11(-2) - 3

Evaluate

(f - g)(-2) = 27

Hence, the value of (f - g)(-2) is 27

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On first down, Savannah threw a 29-yard pass.
On the next play, she threw a 13-yard pass. How
feet did Savannah throw in all?
many
A. 42 feet
B. 96 feet
C. 126 feet
D. 128 feet

Answers

Answer: 126 feet

Step-by-step explanation: Convert yards into feet. IF we are given different units then you must convert it.

To convert yards into feet, MULTIPLY by 3

29 yards * 3= 87 feet

13 yards * 3= 39 feet

Now, key word= THROWS IN ALL= addition

87 + 39 is 126

I really need help doing this Constructing an Angle Bisector. please help me.

Answers

The bisector of angle RQP is angle PQT and angle RQT, both angles are equal and their sum is equal to angle RQP.

What is the bisector angle RQP?

Angle bisector or a bisector angle is a type of angle obtained after dividing the initial angle into two equal parts.

The bisected angle can be obtained using a pair of compass and a pencil attached to it.

To bisect the given angle RQP; we will take the following steps;

Place the compass on exactly point Q.Expand the radius of the compass such that the pencil attached to the compass will be in between R and P.Strike an arc with the pencil clock wiseStrike another arc with the pencil anti clock wise such that the two arc intersects.Draw a line from point Q to intersect the two arcs.Label the point of intersection of the two arcs TFinally, angle PQT is equal to angle RQT

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A rectangles width is 1/2 of its length. Its area is 338 square centimeters. What are its dimensions?

Answers

The width of the rectangle is 13 cm and the dimension is 26 cm x 13 cm

Given data ,

Let the length be L and width be W

Now , the width is 1/2 of the length, so we can write:

W = (1/2)L

The area of a rectangle is given by the formula:

Area = Length x Width

Given that the area is 338 square centimeters, we can write:

338 = L × W

Substituting W with (1/2)L, we have:

338 = L × (1/2)L

To solve this equation, we can multiply both sides by 2 to eliminate the fraction:

676 = L²

Taking the square root of both sides, we find:

L = √676

L = 26

So the length of the rectangle is 26 centimeters.

Substituting this value back into the equation for the width, we have:

W = (1/2)L

W = (1/2)(26)

W = 13

Hence , the dimensions of the rectangle are length = 26 centimeters and width = 13 centimeters

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select the correct answer. when does the price of an item increase?

Answers

Answer: when the value of the dollar decreases, also when demand is high.

Step-by-step explanation: economics

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The phase shift of the trigonometric function is given as follows:

D) 90º to the left.

How to define a trigonometric function?

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For the cosine function, we have the same definition, we only use cos() instead of sin().

For which the parameters are given as follows:

A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.

For this problem, we have that the phase shift is of C = 90. As we are adding inside of the domain of the function, the phase shift is to the left.

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Julia has 12 different flowers in her garden. She has 5 roses what fraction of the flowers are roses?

Answers

Answer:

5/12

Step-by-step explanation:

Since Julia has 12 different flowers and we know she has 5 roses

we can turn it into a fraction which will be 5/12.'

please help! thank uu ~ :)

Answers

Answer:

Impossible

Step-by-step explanation: if a cube is number from 1-6 theirs no chance of getting a number less than 1.

A picture framing business designs two types
of pictures -- matted and unmatted.
The company employees can complete 36
pictures each day using up to 80 total man-
hours of labor. It takes 4 man-hours to complete
one matted and framed picture, and 2 man-hours
to complete one unmatted and framed picture.
How many of each type of picture should be
made daily to maximize the company's profit,
if the profit on a matted picture is $40 and the
profit on an unmatted picture is $35?

Answers

To determine the optimal number of matted and unmatted pictures to maximize the company's profit, we can set up a linear programming problem.

Let's denote:

- x: the number of matted pictures

- y: the number of unmatted pictures

The objective is to maximize the profit, which can be expressed as:

Profit = 40x + 35y

We need to consider the following constraints:

1) The number of pictures completed each day cannot exceed 36:

x + y ≤ 36

2) The total man-hours of labor cannot exceed 80:

4x + 2y ≤ 80

3) The number of pictures cannot be negative:

x, y ≥ 0

Now we can solve this linear programming problem to find the optimal values for x and y.

First, let's graph the feasible region defined by the constraints:

```

x + y ≤ 36

4x + 2y ≤ 80

x, y ≥ 0

```

The feasible region is the area of the graph that satisfies all the constraints.

Next, we need to evaluate the objective function (Profit = 40x + 35y) at the vertices of the feasible region to find the maximum profit.

We can use different methods such as the corner-point method or the simplex method to determine the vertices and evaluate the profit at each vertex.

Thus, once we find the vertex that yields the maximum profit, we will have the optimal values for x and y.

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A survey of 45 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.

You're testing the claim that the mean difference is greater than 0.

From the sample, the mean difference was 0.3, with a standard deviation of 0.8.

Calculate the test statistic, rounded to two decimal places

Answers

The test statistic is given as follows:

t = 2.52.

How to calculate the test statistic?

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The parameters for this problem are given as follows:

[tex]\overline{x} = 0.3, \mu = 0, s = 0.8, n = 45[/tex]

Hence the test statistic is given as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.3 - 0}{\frac{0.8}{\sqrt{45}}}[/tex]

t = 2.52.

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an object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s2. (a) find the amplitude of this motion. (b) find the period of this motion the most common cause of sensorineural hearing loss is quizlet Which of the following increases as temperature increases?a. kinetic energyb. nuclear forcesc. potential energyd. none If the top two companies in the golf club industry merged, their new market share would equal 15% of the market. This industry's new HHI would be 895 According to the FTC's historical guidelines for mergers, would the FTC approve this merger? No, the FTC would probably challenge the merger. Maybe. The FTC would scrutinize the merger and make a case-by-case decision. Yes, the FTC would ignore the merger and allow it to go through. No answer text provided. true or false? you should have at least 3 buyer personas. for the organism staphylococcus aureus what is the species name before beginning to compose a successful business message, you need to collect necessary information by conducting informal or formal research. often the information you collect during the research process helps shape your message. which questions should you ask yourself in order to avoid frustration and inaccurate messages? check all that apply. what action should the receiver take? should i begin research at the library? what will happen if the receiver does not take action? what does the receiver need to know about this topic? how should the sender contact the receiver? long reports and complex business problems often require formal research methods. From its ground state, photosystem II can:a. pass electrons to photosystem I.b. pull electrons from H2O.c. pull protons from H2O.d. absorb light energy.e. emit light energy. Select all statements that apply to each type of quadrilateral. parallelogram rectangle rhombus square 2 pairs of opposite parallel sides2 pairs of opposite congruent sidesdiagonals bisect each otherdiagonals are congruentdiagonals are perpendicular what is the term for the philosophy that promotes interdependence? Prove or disprove each of the following statements:(a) If an undirected graph G is 3-regular, then G must have an Euler circuit.(b) If an undirected graph G is 4-regular, then G must have an Euler circuit.(c) K4,3 has an Euler circuit (d) K2,3 has an Euler trail(e) K7 has an Euler circuit(f) A connected graph with a degree sequence {2, 2, 3, 4, 4, 4, 5} has an Euler circuit.(g) A graph with a degree sequence {2, 2, 2, 2, 2, 2} has an Euler circuit. f(x, y, z) = yzi xzj (xy 2z)k a) find a function f such that f = f . a hydrogen atom makes a transition from the n = 5 state to a lower energy state. if the emitted photon has an energy of e = 0.306 ev , what is the quantum number of the lower state? which brain structure has been implicated in hunger and satiety? Need help with this ASAP please help me with algebra 2 please You take a course in archaeology that includes field work. An ancient wooden totem pole is excavated from your archaeological dig. The beta activity is measured at 150 cpm. If the totem pole contains 260 g of carbon and the ratio of carbon-14 to carbon-12 in living trees is 1.3 10^12, what is the age of the pole?___yr A sample of gas has a mass of 38.6 mg . Its volume is 222 mL at a temperature of 57 C and a pressure of 918 torr . Find the molar mass of the gas. The major cause of insulin resistance is related toa. low-protein diets.b. high-protein diets.c. excess body weight.d. prolonged excess carbohydrate intake. An expansion in aggregate demand increases _____ in the short run. In the long run, however, it increases only the _____.a. Real GDP, price levelb. Real GDP, velocity of moneyc. The unemployment rate, price leveld. The unemployment rate, velocity of money