Please help me with this

Please Help Me With This

Answers

Answer 1
The answer is C your welcome

Related Questions

PLEASE HELP
WILL GIVE BRAINLIEST!!!

Answers

Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

What is -2(3x+12y-5-17x-16y+4) simplified?

Answers

Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Hillary is sharing a box of candy with her friends. if there are b pieces of candy in the box being split between 3 people, which expression shows how many pieces of candy each person should get?
a. b divided by 3
b. b - 3
c. b x 3
d. b + 3

Answers

Answer:

the answer is A-  B/3 or B divided by 3

Step-by-step explanation:

Find the diameter of the object.

diameter: __ ft

Answers

Answer: 1.6

Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6

WILL GIVE BRAINLIEST!!!!
Solve the inequality:

n - 48 < 12

Answers

Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?

Answers

Answer: 21 miles

Step-by-step explanation:

7x3 = 21 miles

Distribute - 10 (1 + 3x).

Answers

Answer:

10 + 30x

Step-by-step explanation:

Answer:

-10 - 30x

Step-by-step explanation:

-10 (1 + 3x)

(-10 · 1) + (-10 · 3x)

-10 + -30x

-10 - 30x

please help! i’ve been stuck on this question for the longest.

Answers

Answer:

57%

Step-by-step explanation:

Answer:

I think the first one 57%

Step-by-step explanation:

hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤

Can someone help me with this pls.

Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.

Answers

Answer:

[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the boxes

Solving (1):

[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]

Swap the equation

[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Open bracket

[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Simplify the like terms

[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

So, we have:

[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

i.e.

[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

Solving (2):

[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

The above expression illustrates the difference of two squares.

So, complete the first equation with minus

[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Express 169 as 13^2

[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Apply difference of two squares

[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]

So, the complete expression is:

[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

Solving (3):

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]

20 can be expressed as: -5 * -4

So, the expression becomes

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]

Expand

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]

So, the complete expression is:

[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

Solving (4):

[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]

28 can be expressed as 7 * 4

So, the expression becomes

[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]

Expand

[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]

[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]

So, the complete expression is:

[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

Solving (5):

[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]

-24 can be expressed as -3 * 8

So, the expression becomes

[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Expand

[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]

[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]

So, the complete expression is:

[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

An equation is formed of two equal expressions. The complete equations are:

[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. The first equation that is given to us is:

[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]

Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,

[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]

Thus, the complete equation will be

[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].

2. The second equation that is given to us is,

[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]

Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,

[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]

Thus, the complete equation will be

[tex](x^2-169) = (x+13)(x-13)[/tex].

3. The third equation that is given to us is,

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]

Thus, the complete equation is

[tex]x^2-9x+20=(x-5)(x-4)[/tex].

4. The fourth equation that is given to us is

[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.

[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]

Thus, the complete equation is

[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]

5. The fifth equation that is given to us is

[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.

[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]

Now, solving the right side of the equation to get the complete left side of the equation we will get,

[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]

Thus, the complete equation is

[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]

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A restaurant served a new flavor of tea. The owner surveyed a total of 75 customers (male and female) to find out if they liked the tea. The Venn diagram shows results of the survey.

One of the surveyed customers is chosen at random.

What is the probability that this person liked the tea, given that the person is female? (Round answer to the nearest hundredth.)​

Answers

The probability that this person liked the tea, given that the person is female is P = 0.806

How to get the probability?

The probability will be given by the quotient between the number of females that liked the tea and the total number of females in the experiment.

We know that there are 25 + 6 = 31 females in the experiment, and 25 of them liked the tea, then the probability that a random female likes the tea is:

P = 25/31 = 0.806

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What is the value of y?

Answers

Answer:

31

Step-by-step explanation:

y+y=y+31

2y-y=31

y=31°

Which of the following is not a characteristic of term life insurance?

A) Must be renewed periodically

B) Coverage can be denied upon renewal

C) Paid out if you die

D) Ability to access cash value

[Mathematics of Personal Finance A P E X]

Answers

Answer:

D-Ability to access cash value

The statement which is not a characteristic of term life insurance is B) Coverage can be denied upon renewal.

What is Term Life Insurance?

Term life insurance is the simplest form of the life insurance which is a death benefit which pays the policyholder when lives or their heirs when they died.

Here,

Term life insurance has to be renewed periodically.

The coverage of the term life insurance can be extended by renewing it. So it cannot be denied upon renewal.

In term life insurance, it will paid out if you die.

There is a characteristic of ability to access cash value in term life insurance.

Hence the characteristic which is not that of the term life insurance is option B) Coverage can be denied upon renewal.

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Sharon has a patio in the shape of a rectangle
The length of the patio is I feet
• The width of the patio is w feet
Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20%
Which of the following expressions could be used to find the area, in square feet, of the expanded patio
O A. (1.51) (1.2w)
O B. (+0.5) Xfw +0.2)
© C. (2 x w) + (0,5 +0.2)
O D. (0.5l) (0.2w)

Answers

Answer:

D

Step-by-step explanation:

The area of the expanded rectangular patio is: D. (0.5l)(0.2w)

What is the Area of a Rectangular Patio?

Area = (length)(width)

Given the following:

l = length of patiow = width

New length = 50% of l = 0.5l

New width = 20% of w = 0.2w

Area of the expanded rectangular patio = (0.5l)(0.2w)

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Create an equation that matches the following
transformations:
A horizontal shift left 8.
A vertical shift up 3.

Answers

Answer: there you go! I hope this helps!

Step-by-step explanation:

The percentage of students in school that attended the talent show for the years 2008 to 2013 are shown. This year, the school has a total of 400 students. How many students do you expect to attend the talent show this year? Explain how you found your answer.

PLEASE I NEED HELP ITS URGENT

Answers

Answer:

352 students

Step-by-step explanation:

Given

See attachment for table

[tex]n = 400[/tex]

Required

Attendance of students in this year's show

First, we calculate the mean of the table

[tex]Mean= \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}[/tex]

[tex]Mean= \frac{528\%}{6}[/tex]

[tex]Mean= 88\%}[/tex]

Multiply the mean by the total students

[tex]Expected = Mean * n[/tex]

[tex]Expected = 88\% * 400[/tex]

[tex]Expected = 352[/tex]

Answer:352

Step-by-step explanation:

You basically just find the mean

If y= x³-1 find the value of y if x= -2​

Answers

Answer:

Y=19 Hope this helps!!!!

Step-by-step explanation:

Jello someone please help me
No links or files please

Answers

Answer:

3. 43     4. 84     5. 522

Step-by-step explanation:

Geometry question on finding x.

Answers

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

PLEASE HELP ASAP!! Point m is the midpoint of PQ. The coordinates of M are (2,4). The coordinates if Q are (12,10). What are the coordinates of point P?

Answers

Answer:

0,0

Step-by-step explanation:

In adjoining the figure to find the coordinates of point P the distance of P from y-axis is 0 units and the distance of P from x- axis is 0 units

Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

Answers

Step-by-step explanation:

here u go ..ntgs different hope this will too helps ..stay safe

Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
Write an equation to model this situation using h to represent the number of hours the repairs take, p to represent the cost of the parts and, cto represent the
total cost of the repairs.
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
$

Answers

Answer:

Part A

c = p + 55h

Part B

$362

Step-by-step explanation:

Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.

Part A

h = the number of hours

p = the cost of the parts

c = the total cost of the repairs.

The equation to model this situation is written as:

c = p + $55 × h

c = p + 55h

Part B

What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?

From the above question:

p = $142

h = 4

Since our equation =

c = p + 55h

Hence,

c = 142 + 55 × 4

c = 142 + 220

c = 362

Therefore, the cost of repairs = $362

HELP ME PLEASE...................................

Answers

The answer would be B

Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain

Answers

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

Paul worked as a library volunteer for 8 ¼ hours. Harry worked for 3 ½ hours. How much longer did Paul work than Harry?

Answers

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

= 5 + 1/4 - 2/4

= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?

Answers

Answer:

1 hour and 35 mins

Step-by-step explanation:

The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?

Answers

Answer:

Step-by-step explanation:

Today's calculators have statistical functions built in.

A.  Here we use:

normalcdf(10,310,205,35), WHICH returns 0.999.

B.  normalcdf(135,275, 205,35) = 0.954

C.  normalcdf(240, 10000, 205, 35) = 0.159

Write an equation that shows the relationship 40% of 120 is a.​

Answers

Answer:

---

Step-by-step explanation:

Convert the fraction to a decimal(40% = 40/100 = 0.4). Multiply it by 120.

0.4x120=a

---

hope it helps

The equation 40 ÷ 100 × 120 = a shows

the relationship 40% of 120 is a

What is an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

'An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.'

For example, 3x + 5 = 15.

Given,

Relation, 40% of 120 is a

⇒ 40% × 120 = a

Above relation can be written in equation as

40 ÷ 100 × 120 = a

Hence, 40 ÷ 100 × 120 = a is the equation

for relation such that  40% of 120 is a.

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Which is the net for this rectangular prism?

Answers

Answer:

The one on the bottom left

Step-by-step explanation:

Have a wonderful Day

Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary. ​

Answers

Your answer will be $75,000
Hope this helps
Brainliest plzz

NEED HELP ASAP!! Which statement correctly uses limits to determine the end behavior of f(x)?

Answers

B obviously bro make sure to give thanks

The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

What is the limit?

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a function:

[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]

Applying limit:

[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]

[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]

Divide by x^4 on the numerator and denominator, we get:

[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]

So the value of the limit will be zero whereas x tends to ±∞

Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

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Check all that apply.Read with accuracy and an appropriate pace.Read the passage as quickly as possible.Read every sentence without any pauses.Read with accuracy and use pauses between phrases.Use intonation to emphasize key words and phrases.Use punctuation and syntax to determine phrasing.Answer A D E F You have the following information for Crane Company for the month ended October 31, 2022. Crane uses a periodic method for inventory. Date Description Units Unit Cost or Selling Price Oct. 1 Beginning inventory 50 $22 Oct. 9 Purchase 110 24 Oct. 11 Sale 90 35 Oct. 17 Purchase 90 26 Oct. 22 Sale 50 40 Oct. 25 Purchase 60 28 Oct. 29 Sale 100 40 Calculate the weighted-average cost. (Round answer to 3 decimal places, e.g. 5.125.) Weighted-average cost per unit Calculate ending inventory, cost of goods sold, gross profit under each of the following methods. (1) LIFO. (2) FIFO. (3) Average-cost. (Round answers to 0 decimal place, e.g. 125.) Calculate gross profit rate under each of the following methods. (1) LIFO. (2) FIFO. (3) Average-cost. (Round answers to 1 decimal place, e.g. 51.2%) 4x-3=2x+7 please help shdjdjsjsjsndjxj Needeeeeed help from tbt Can someone please help me i will mark u brilliant simplify 3/36 will choose brainliest 11070x = [? ] During which process is liquid changed to a gas within the water cycle?A. condensationB. precipitationC. evaporationD. runoff The Sun Has Long Been Setby William WordsworthThe sun has long been set,The stars are out by twos and threes,The little birds are piping yetAmong the bushes and trees;There's a cuckoo, and one or two thrushes,And a far-off wind that rushes,And a sound of water that gushes,And the cuckoo's sovereign cryFills all the hollow of the sky.Who would "go parading"In London, "and masquerading,"On such a night of JuneWith that beautiful soft half-moon,And all these innocent blisses?On such a night as this is!Summer, an excerptby Amy LowellSome men there are who find in nature allTheir inspiration, hers the sympathyWhich spurs them on to any great endeavor,To them the fields and woods are closest friends,And they hold dear communion with the hills;The voice of waters soothes them with its fall,And the great winds bring healing in their sound.To them a city is a prison houseWhere pent up human forces labour and strive,Where beauty dwells not, driven forth by man;But where in winter they must live untilSummer gives back the spaces of the hills.To me it is not so. I love the earthAnd all the gifts of her so lavish hand:Sunshine and flowers, rivers and rushing winds,Thick branches swaying in a winter storm,And moonlight playing in a boat's wide wake;But more than these, and much, ah, how much more,I love the very human heart of man.Above me spreads the hot, blue mid-day sky,Far down the hillside lies the sleeping lakeLazily reflecting back the sun,And scarcely ruffled by the little breezeWhich wanders idly through the nodding ferns.The blue crest of the distant mountain, topsThe green crest of the hill on which I sit;And it is summer, glorious, deep-toned summer,The very crown of nature's changing yearWhen all her surging life is at its full.To me alone it is a time of pause,A void and silent space between two worlds,When inspiration lags, and feeling sleeps,Gathering strength for efforts yet to come.What theme do both poems express? (5 points) aArchitecture is fascinating and important. bThe natural world is a peaceful escape. cPeople are cruel to one another. dNature can be dangerous and harsh. it refers to the speed of music prefieres la clase de arte o matemticas and the choices are1- prefieres la clase de arte2- preferir la clase de matemticas 3- prefiero la clase de matemticasplease help Night blindness is caused by interference of cone function and vitamin A deficiency. A new human species was found on a distant planet, whose genetic inheritance and process of reproduction is identical to that of humans on earth, however, their phenotypes are much different. You are tracking two phenotypes in this new species: eye shape and tail size. The single gene that controls eye shape (gene E) is unlinked from the single gene that controls tail size (gene T). Square eyes is the dominant eye shape and round eyes is the recessive eye shape. Long tail is the dominant tail size and short tail is the recessive tail size.1. An individual of this new species is heterozygous for gene E and heterozygous for gene T. What is their genotype and phenotype? (Note, the / symbolizes the genotype of the two different homologs for a given chromosome, for example chromosome 5 homolog / chromosome 5 homolog, and ' ; ' separates different chromosomes for example 'chromosome 5 ; chromosome 8)a. E/E ; T/T square eyes and long tailb. e/e ; t/t round eyes and short tailc. E/e ; T/t round eyes and short taild. E/e ; T/t square eyes and long taile. e/e ; T/T round eyes and long tailf. E/T ; E/T square eyes and long tail2. Two individuals, who are both heterozygous for eye shape and tail size, mate. Which of the following is a correct statement about the phenotype ratios expected for their offspring?a. 9/16 will have square eyes and short tailsb. 9/16 will have round eyes and short tailsc. 3/16 will have round eyes and long tailsd. 3/16 will have round eyes and short tailse. 1/16 will have square eyes and long tails3. From the mating described in question ABOVE, what proportion of ALL of the offspring in will be heterozygous for both traits?a. 1/4b. 1/16c. 1/8d. 1/9e. 3/16f. 9/16 When x=10 and y=2x-11(x-y)=