Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound. How much did Yasmin pay for the peaches?
O $8.05
O $10.00
O $11.95
$19.50

Answers

Answer 1

Answer:

10 x 1.95 = 19.50 so D is your answer, $19.50

Answer 2

if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Yasmin buys 10 pounds of peaches

Peaches cost $1.95 per pound

we need to calculate the amount has to pay by Yasmin for the peaches.

1 pound of peaches =$1.95

We need to calculate for 10 pounds.

Use multiplication to find the amount.

10×1.95

$19.5

Hence, if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the  10 pounds of peaches.

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Related Questions

TOPIC=Rearranging

Task:Make x the subject of these equations

6x + v = 4x + w

ax + 9 = 2x + b

7x - w = vx+4

6 - wx = vx + 4

3(wx-v) = 4(x+v)

Answers

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Common bases or levels of activity on which overhead rates are often based include _______ ________ _______ _________ _______, _______ _____-_______, and ________-_______.

Answers

Answer:

NOONE knows

Step-by-step explanation:

Solve for x.Question options:A) 11 B) 13 C) 12 D) 10

Solve for x.Question options:A) 11 B) 13 C) 12 D) 10

Answers

Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that

YZ = 1/2(QS)

x + 2 = 1/2 * (3x - 8)

2(x + 2) = 3x - 8

By opening the parenthesis, we have

2x + 4 = 3x - 8

Collecting like terms, we have

3x - 2x = 4 + 8

x = 12

Option C is correct

If the first and last terms of a trinomial are perfect squares, the trinomial is a perfect square
trinomial.
True
O False

Answers

Answer:

A trinomial is a perfect trinomial if the first and last terms are positive, perfect squares and the middle term is twice the product of their square roots.

Therefore, if you mean perfect as in positive, the answer is True.

The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 

Answers

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at least 70 feet of lights

Answers

6 strands
70/12=5.83
Because you can’t have .8 of a strand, you would need to round up to the next whole number (6)

A town’s athletic league contains 18 baseball teams. The board members of the league want to survey adults attending games to determine if they believe the athletes are showing good sportsmanship. The board members attended one game and surveyed an equal number of adults supporting each of the two teams. Which best explains the validity of the results?
invalid because of biased sampling
invalid because the sampled adults are not part of the population
valid because an equal number of adults supporting both teams were surveyed
valid because adults are the target population

Answers

It is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.

What is a survey?

A survey is a method of collecting information or data from a group of people or a population. The purpose of a survey is to gather information about people's opinions, attitudes, preferences, behaviors, or demographic characteristics.

According to question:

The statement "valid because an equal number of adults supporting both teams were surveyed" is not sufficient to ensure the validity of the survey.

The validity of a survey depends on various factors, such as the sampling method, sample size, representativeness of the sample, and the accuracy of the survey questions.In this case, the sampling method is not specified, so we cannot determine whether it was random or biased. Also, the sample size is not mentioned, so we cannot evaluate whether it is large enough to be representative of the population. Additionally, the statement does not indicate whether the adults surveyed are a good representation of the target population or not.

Therefore, it is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.

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Answer:

A. invalid because of biased sampling

Step-by-step explanation:

Determine the quadrant in which the terminal side of the given angle lies.

115°

A. I

B. II

C. III

D. IV

Answers

Answer:

\( \frac{x}{115}= \frac{2\pi}{360}\)

And solving for x we got:

\( x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi\)

since the value obtained is higher than \(\pi/2\) and lower than \( \pi\) we can conclude that this angle would be in the second quadrant.

B. II

Step-by-step explanation:

In order to solve this problem we can write the angle in terms of pi using the following proportion rule:

\( \frac{x}{115}= \frac{2\pi}{360}\)

And solving for x we got:

\( x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi\)

since the value obtained is higher than \(\pi/2\) and lower than \( \pi\) we can conclude that this angle would be in the second quadrant.

B. II


There are 12 servings in a box of cereal. Each day, Ryan eats 2 servings of cereal. What fraction of the full box of cereal has Ryan eaten after 5 days?

Answers

2 servings over 5 days = 2 x 5 = 10

10/12 = 5/6 (simplified fraction)

For triangle ABC. AB = 6 and BC = 17. Which of the following is a possible length for AC?

Answers

Answer:

Below

Step-by-step explanation:

By the triangle side length rule  the third side must be lessthan the sum of the other two sides, soooooo....

11 < AC < 23

elm st. and spruce st. are parallel what is m<1

elm st. and spruce st. are parallel what is m&lt;1

Answers

Answer:

The measure is 68

Step-by-step explanation:

180-112 = 68

side alternate exterior (supplementary)

The measure of angle 1 will be equal to 68.

What are supplementary angles?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.

Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-

The angle will be calculated as follows:-

∠1 + 112 = 180

∠1 = 180 - 112 = 68

Therefore, the measure of angle 1 will be equal to 68.

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find the base of the triangle, if its area is 18 hectares and height is 60 dam

Answers

Answer:

Step-by-step explanation:

The formula for the area of a triangle is:

1/2×base×height

If you know the area of the triangle and height you can apply the area formula:

A=1/2×base×height

in reverse to calculate the length of the base:

b=2A/h

given, h=60dam

A=18

so, b=2×18/60

b=36/60

b=0.6

The answer is 0.6

WILL GIVE BRAINLIEST 15 POINTS
Congruent yes or no
Congruent? _______
If so, what property? ________

Congruent yes or no
Congruent? _______
If so, what property? ________

WILL GIVE BRAINLIEST 15 POINTSCongruent yes or noCongruent? _______If so, what property? ________Congruent
WILL GIVE BRAINLIEST 15 POINTSCongruent yes or noCongruent? _______If so, what property? ________Congruent

Answers

#1

No

See in first one the angle included is in between the two similar sides( corresponding to other triangle)

In second one the angle marked is not between the corresponding similar sides .

So not congruent

#2

Yes

Three angles of both are equal

AAA (angle-angle-angle)

A diagram of an arched window for a model house is placed on a coordinate grid. The base of the window is on the x-axis. The arch of the window is modeled by h(x) =-4x^2+10x-6, where x is in inches. What is the length of the base of the window?

Answers

The function of the arch window is a quadratic function, and the length of the base of the window is 3.5 units

How to determine the length of the base?

The function of the arch window is given as:

h(x) = -4x² + 10x - 6

Set the function to 0

-4x² + 10x - 6 = 0

Divide through by -2

2x² - 5x + 3 = 0

Expand the function

2x² + x - 6x + 3 = 0

Factorize the function

x(2x + 1) - 3(2x + 1) = 0

Factor out 2x + 1

(x - 3)(2x + 1) = 0

Expand

x - 3 = 0 or 2x + 1 = 0

Solve for x

x = 3 or x = -0.5

Since, the base of the window is on the x-axis.

It means that the difference between the x-intercepts represents the length of the window base.

So, we have:

Base = |-0.5 - 3|

Evaluate

Base = 3.5

Hence, the length of the base of the window is 3.5 units

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According to the property , which choice is equivalent to the quotient below?3577​ 35​ ​ A.5B.C.D.-5E.25

According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25

Answers

Answer:

Option A is the right answer mate...

1. Abby, Bridget, and Cathy are sisters. Bridget is one year
older than Cathy. Abby is three times older than Bridget.
Together the sisters are 24 years old. How old is Abby?
Let c represent Cathy's age.

Answers

Answer:

4 years old

Step-by-step explanation:

cathy=c

bridget=c+1

abby=3c+3

c+c+1+3c+3=24

5c=20

c=4

A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.

Answers

The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

Where to send the portable irrigation system?

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

Missing Information

The area is given by the image at the end of the answer.

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A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area

Find the equation for the plane through the points Po(5,5,2), Qo(-4,0,-2), and Ro(-4,-1,1).
Using a coefficient of - 19 for x, the equation of the plane is

Answers

Ax+by is c is the equation for a line in two dimensions, the equation for a line in three dimensions.

What is the equation of plane formula?The equation of a plane in R has the generic form an x + b y + c z + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.A line and a point that is not on the line can only be crossed by one plane.Ax+by=c is the equation for a line in two dimensions. It is logical to assume that ax+by+cz=d is the equation for a line in three dimensions. However, this assumption is incorrect since it turns out that this is really the equation for a plane. In contrast to a line, a plane lacks an evident "direction."(5,5,2), Qo(-4,0,-2), and Ro(-4,-1,1).5x + 5y =2-4x + y = -2-4x -y = 1

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In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?

Answers

Answer: 8 red roses are in the basket.
Explanation:
ratio is 2:3
let’s say red roses are 2x and white roses are 3x.
The total number of roses is 20, then, to find the number of red roses, write:
2x+3x= 20
5x=20
x=4
red roses are 2x
x=4,
hence, put 4 instead of x, and you will get 2*4= 8
Hope it helps!!!
If it does, then give click the brainliest button! thanks in advance!

While preparing his budget sheet, John Drake noticed that his annual
expenses were $17,700 while his monthly living expenses were $300 more than
his monthly fixed expenses. If John's total monthly expenses were $3,250, find his
monthly fixed expenses and his monthly living expenses.

Answers

Answer:

Step-by-step explanation:

50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.


Car: six-cylinder compact

Year driven: second

Miles driven: 14,000


The insurance cost for second year is $

.


If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.


DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.

50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following

Answers

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.

Answers

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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What is the slope of the linear relationship? a graph of a line that passes through the points 0 comma 3 and 2 comma negative 2 negative five halves five halves negative two fifths two fifths

Answers

The slope of the line represented by the graph of a linear function is  -5/2

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

here, we have,

Given in a question a linear function that decreases from left to right passing through the coordinates A(0,3) and B(2, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c.

So, it represents a straight line.

The line passes through the points A (0,3) and  B (2, -2).

The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 3) / (2 - 0)

m = -5/2

Therefore, the slope of the line represented by the graph of a linear function is  -5/2.

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b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10- 20 20 - 30 30 - 40 40-50 50 - 60 60-70 Frequencies (f) 10 10 ? ? ? 6 4 230​

Answers

The frequencies based on the information are are 100, 40, and 6.

How to explain the frequency

In the formula of the median, we have to calculate cumulative frequencies and have to use cumulative frequency of the interval previous to the median class. Also, in the formula of mode, frequencies are used and not the cumulative frequencies.

140 - y = 100

y = 40

substituting y and x in equation 1 is:

x + y + z = 146

100 + 40 + z = 146

z = 6

Therefore, the missing frequencies are 100, 40, and 6.

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The local humane society is restocking on cat food to prepare for kitten season.Very young kittens need kitten formula which costs $3.99 per bottle. Olderkittens need wet cat food which costs $1.50 per can. Write an algebraicexpression to describe how much the humane society will spend preparing forkitten season. Identify the parts of the expression by: coefficient(s), constant(s),and variable(s). *

Answers

We know that

• Very young kittens formula costs $3.99 per bottle.

,

• Older kitten's formula costs $1.50 per can.

Let's call x each bottle of the young kitten's formula, and y each can of the older kittens' formula. So, we can express the following

\(3.99x+1.50y\)

Note that we multiplied each cost by its variable because they represent a rate. In this expression, the coefficients are 3.99 and 1.50, there are no constants (independent terms without variables), and the variables are x, y, and z because z would represent the amount of money spent.

Therefore, the algebraic expression that represents this situation is

\(z=3.99x+1.50y\)

What are parallelograms?​

Answers

Answer:

a four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

Answer:

Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition to having parallel sides, parallelograms also have some other notable properties:

Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.

Step-by-step explanation:

Use the distributive property to simplify the following expression -2(x+3)

Answers

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

Answer:

\(\huge\boxed{\sf{-2x-6}}\)

Step-by-step explanation:

Hello.

Please remember that the property is really useful hen it comes to simplifying expressions like this one.

It states that

a(b+c)=ab+ac

Now, simplify:

-2(x+3)

-2x-6

I hope it helps & have an outstanding day!

\(\boxed{imperturbability}\)

Find the angles of △ABC given that a=11, b=20, and c=18.

Round each angle to the nearest tenth of a degree and use that rounded value to find the remaining angles.

Find the angles of ABC given that a=11, b=20, and c=18.Round each angle to the nearest tenth of a degree

Answers

The required angles are approximate:

A = 36.1 degrees

B = 55.9 degrees

C = 101.3 degrees

Using the law of cosines,

\(c^{2} = a^{2}+b^{2} -2ab*cos(C)\)

Inserting the given values, we get,

\(18^{2} =11^{2} +20^{2}-(2*11*cos(C))\\\\ cos(C)= -17/440\\ C = 101.3 degrees\)

Using the law of sines to find other angles

\(sin(A)/a = sin(C)/c\\\\sin(A)/11 = sin(101.3)/18\\\\A= 36.1 degrees\)

\(sin(B)/b = sin(C)/c\\\\sin(B)/20 = sin(101.3)/18\\\\B= 55.9 degrees\)

Therefore, the required angles are approximate:

A = 36.1 degrees

B = 55.9 degrees

C = 101.3 degrees

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Find the value of x.
44°
76°
to

Find the value of x.4476to

Answers

Answer:

120°

Step-by-step explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

Question : -

Find the value of x .

Given : -

Angle 1 = 44°

Angle 2 = 76°

Angle 3 = Not given we can assume it as y°

Angle 4 = x°

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Solution : -

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

44° + 76° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

60° + x° = 180°

x° = 180° - 60°

x° = 120°

Therefore, value of angle x is 120° .

# \( \sf{ \bold{Keep \: Learning}}\)

Determine g(x−1) for the following function. g(x)=−4x−1

Answers

The function operation g( x - 1 ) of the function g( x ) = −4x − 1 is -4x + 3.

What is the function operation g( x - 1 ) in the given function?

A function is simply a relationship that maps one input to one output.

Given the data in the question;

g( x ) = −4x − 1g( x - 1 ) = ?

To find g( x - 1 ), replace all the occurrence of x with ( x - 1 ) in the function and simplify.

g( x ) = −4x − 1

g( x - 1  ) = −4( x - 1 ) − 1

Simplify by distributive property

g( x - 1  ) = −4( x - 1 ) − 1

g( x - 1  ) = x( -4 ) - 1( -4 ) - 1

g( x - 1  ) = -4x + 4 - 1

g( x - 1  ) = -4x + 4 - 1

Add 4 and -1

g( x - 1  ) = -4x + 3

Therefore, the function operation g( x - 1 ) is -4x + 3.

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If you add 1.25 to the difference of 8.55 and 2.12, what will be the result? Current Attempt in Progress Determine the value of the coefficient of correlation, r, for the following data. X 3 6 7 11 16 17 21 Y 18 11 13 8 7 7 3 (Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.) In a pack of cheese crackers, 1/3 of the total number of cheese crackers is 17. Write and solve an equation to find x, the total number of cheese crackers in the pack. a yellow labrador with the genotype bbee mates with a black labrador that is homozygous for both alleles. what are the ratios of genotypes and phenotypes expected in the f1 and f2 generations? simplify. multiply and remove all perfect squares from inside the square roots. assume bbb is positive. I can prove that 2 + 2 is 5 there's the proof in the picture I also developed a new theory when I was in 3rd grade solving world hunger than you can use here to make 5 2x+2y=-2 y = x + 5 please hurry! Mr. Cauchy spends 35% of his monthly income on rent. What is his monthly income if his rent is $1400 per month? PLEASE HURRY, I DONT HAVE A LOT OF TIME!!! PLEASE HURRY!!Read "Sonnet: Written on My Birthday" by Thomas Oldham. Then, respond to the prompt that follows.Again has Time his annual circle run,And April ushers in my natal day:Since first my infant eyes beheld the sun,How many a year has swiftly roll'd away!Full half my thread of life the Fates have spun;What various colours does the web display!Some dark, some brighter; ere the work be doneThe sadder hues will overshade the gay.Yet not to Melancholy will I yield;Against Despondency and DiscontentStill Fortitude and Hope shall keep the field;Swerving from thee, O Virtue! I repent;Now! to repel Temptation I am steel'd;To follow thee I'm resolutely bent.In a well-developed paragraph of at least five sentences, discuss how the poem's meaning is connected to the poet's choice of form.Identify the poem as a sonnet or a villanelle.Explain how the form, rhyme scheme, and other traits affect the poem's meaning.Describe the tone of the poem and provide textual support.Use academic language in your response. what is the name of the condition characterized by low energy availability, lack of menstrual periods, and low bone mineral density? Graph the equation. y = 3(x + 1)^2 - 2 One way to protect the privacy of a patient who has declined inclusion in the facility directory is:. dur rn help pls )))))))))) Exercise 3 Draw three lines under each lowercase letter that should be capitalized. For each italicized word write in the blank com. (common noun) or prop. (proper noun).The navajo are the largest Native American group in the united states. 1. in the e-r model, an entity that is existence dependent on another and does not have a key of its own is called. a. a weak entity b. a dominant entity c. a parent entity d. a referential entity 2. serve as the intermediary between the user and the database. a. dbmss b. metadata c. end-user data d. programming languages 3. the term refers to an organization of components that define and regulate the collection, storage, management and use of data within a database environment. a. structured data b. transaction c. management system d. database system 4. a is the primary key of one table that has been placed into another table to create a common attribute. a. superkey b. composite primary key c. candidate key d. foreign key 5. a(n) is the set of possible values for a given attribute. a. domain b. range c. identifier d. key NEED ASAP! Will give brainliest to first answer Evaluate the following integral. 3 2 L (6x + y) dx dy = = Thesis topic: Optimization of renewable energy and enhanced energy storage capacity by lowering the cost with hierarchical control.I. Conduct a systematic review of the thesis topic.II. Write the possible objectives of the thesis.III. Present a framework of the thesis.IV. Present hypothesis of the thesis. Postsynaptic currents produced by ampa glutamate receptors are _______ than those produced by other ionotropic glutamate receptors. verse demand for oil in a competitive market is P=705Q, where Q is billions of barrels BL ) of oil per year and P is price per barrel. The marginal extraction costs are $30 per barrel. tere is a total of 13BBL of oil available to use in periods 0 and 1 . Assume the interest rate is 6. Answer the following questions using the information above. a. Find the social welfare maximizing quantities for periods 0 and 1. Round your answers to two decimal places. State the equimarginal principle that you used to find the revenuemaximizing solution. b. What are the corresponding prices in each period? Round your answers to two decimal places. Refer to part a. c. Calculate MNB 0 . Calculate the total net benefit (TNB 0 for period 0 . Round your answers to two decimal places, (Hint: look at Example 4.3 in the book.) d. Calculate MNB 1 . Calculate the total net benefit (TNB ) for period 1. Round your answers to two decimal places. (Hint: look at Example 4.3 in the book.) e. Calculate the present value (PV) of social welfare (SW):PV(SW). State what PV(SW) is equal to before your calculation. Round your answers to two decimal places. (Hint: look at Example 4.3 in the book.)