Giving 15 points help
Image:

Giving 15 Points HelpImage:

Answers

Answer 1

Answer: To find out the unlabeled one on the inside subtract 180- 123, then you Get 57. Now do 180 = 57 + x +

92. Add up the whole numbers to get 180 = 149 + x now subtract 149 from 180, to get 31 and it equals x TADA

Step-by-step explanation:


Related Questions

0.342, 0.352, 0.332, 0.340, 0.3212, 0.3412, 0.35, 0.348 in least to greatest​

Answers

Answer:

0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352

Answer:

See below.

Step-by-step explanation:

0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352.

Factor. 64x^9−125y^6

I need help !

Answers

Answer:

(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)

Step-by-step explanation:

Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)

Here a is 4x^3 and b is 5y^2.

You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)

Let me know if this helps!

solve 10m -28 = 6 -7m​

Answers

Answer:

Step-by-step explanation:

Answer:

The solution to 10m -28 = 6 -7m​ is m = 2.

Step-by-step explanation:

Given 10m - 28 = 6 - 7m ⇒ 10m + 7m = 6 + 28 ⇒ 17m = 34 ⇒m= 34/17

m = 2.

Which expression is equivalent to 128x^5y^6 \ 2x^7y^5 ? Assume x > 0 and y > 0.

Answers

Answer: Last option.

Step-by-step explanation:

Given the expression:

[tex]\sqrt{\frac{128x^5y^6}{2x^7y^5}[/tex]

The Quotient of powers property states that:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

And the Power of a powet property states that:

[tex](a^m)^n=a^{mn}[/tex]

Then, applying these properties, you get:

[tex]=\sqrt{\frac{(2^3)^26y}{x^2}[/tex]

Now you must remember that:

[tex]\sqrt[a]{a^n}=a[/tex]

Therefore, simpliying the expression, you get:

[tex]=\frac{2^3\sqrt{y}}{x}=\frac{8\sqrt{y}}{x}[/tex]

Answer:

D. 8√y/x

Step-by-step explanation:

Which of the following equations represents a line that is parallel to the line represented by 3x + 5y = –3? A. 3x + 5y = 2 B. 6x + 10y = –6 C. –5x + 3y = 2 D. –3x + 5y = –3

Answers

Final answer:

The equation that represents a line parallel to 3x + 5y = –3 is A. 3x + 5y = 2, as it only differs in the y-intercept from the original line, therefore having the same slope which ensures it's parallel.

Explanation:

To determine which equation represents a line parallel to the given line 3x + 5y = –3, we should know that parallel lines have the same slope. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Let's first rewrite the given equation in slope-intercept form.

3x + 5y = –3
5y = -3x - 3
y = -3/5x - 3/5

The slope of this line is -3/5. We now look for an equation among the options which has the same slope of -3/5.

A. 3x + 5y = 2 is the correct choice as it only differs in the y-intercept, which makes it parallel to the original.

B. 6x + 10y = –6 is actually equivalent to the original equation when divided by 2, hence it's the same line, not merely parallel.

C. –5x + 3y = 2 has a different slope.

D. –3x + 5y = –3 has a different slope.

Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. Angle ELY and Angle AYS
B. Angle AYS and angle LYS
C. Angle SYL and angle EYA
D. Angle AYE and angle HYL

Answers

Answer:

Answer B and C are correct.

Step-by-step explanation:

Vertical angles opposite each other when two lines cross.

"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.

Answer:

[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]

[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]

Step-by-step explanation:

Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.

Now, [tex]\angle EYL[/tex] and [tex]\angle AYS[/tex] are vertical angles, because they are opposite when lines ES and AL cross at point Y.

Another pair of vertical angles are [tex]\angle SYL[/tex] and [tex]\angle EYA[/tex], because they are opposite when lines ES and AL cross at point Y.

Therefore, all pair of angles which are vertical angles are

[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]

[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]

convert 5 whole number and 7 over 8 into an improper fraction

Answers

Answer: 47/8

Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally, we will put our new number over our old denominator and we have our answer which is 47/8.

Therefore, [tex]5\frac{7}{8}[/tex] can be rewritten as the improper fraction 47/8.

why is math important in the world todaywhy is math important in the world today ​

Answers

Math helps us have better problem-solving skills.
Math helps us think analytically and have better reasoning abilities. Analytical thinking refers to the ability to think critically about the world around us. ... Analytical and reasoning skills are important because they help us solve problems and look for solutions.

Math is a language that people use to describe the world around them and because the language of math includes numbers, we can use it to describe things very precisely. Sometimes we use symbols to stand for special numbers like π.

which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4​

Answers

Good morning

______

Answer:

2/3 < 3/4​

___________________

Step-by-step explanation:

2/3 = (2*4)/(3*4)=8/12

3/4 = (3*3)/(4*3)=9/12

Since 9/12>8/12 then 3/4>2/3

:)

this is something about absolute value but i have no idea how to do it

Answers

You're looking for an inequality of the form [tex]|t-b|\le a[/tex], or [tex]-a\le t-b\le a[/tex], or [tex]b-a\le t\le b+a[/tex].

Start with

[tex]350^\circ\le t\le400^\circ[/tex]

Notice that 375º is the midpoint of this interval of temperatures. If we subtract all sides by 375º, then we get

[tex]-25^\circ\le t-375^\circ\le25^\circ[/tex]

so we can set [tex]a=25^\circ[/tex] and [tex]b=375^\circ[/tex], and we can rewrite this inequality in terms of absolute values as

[tex]|t-375^\circ|\le25^\circ[/tex]

i need help with math You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.

Answers

Answer:

After these reflections, the coordinates of P' will be P'(4,-4)

Step-by-step explanation:

The question is

After these reflections, the coordinates of P' will be?

we have

Triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1)

Part 1) Reflect triangle PQR across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

Applying the rule of the reflection across the x-axis at the coordinates of triangle PQR

P(-4, -4) -----> P'''(-4,4)

Q(-1, -3) -----> Q'''(-1, 3)

R(-3, -1) ----> R'''(-3, 1)

Part 2) Reflect triangle P'''Q'''R''' across the y-axis

we know that

The rule of the reflection of a point across the y-axis is

(x,y) -----> (-x,y)

Applying the rule of the reflection across the y-axis at the coordinates of triangle P'''Q'''R'''

P'''(-4,4) -----> P''(4,4)

Q'''(-1, 3) ---> Q''(1, 3)

R'''(-3, 1) ---> R''(3, 1)

Part 3) Reflect triangle P''Q''R'' across the x-axis again

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

Applying the rule of the reflection across the x-axis at the coordinates of triangle P''Q''R''

P''(4,4) ---->  P'(4,-4)

Q''(1, 3) ----> Q'(1, -3)

R''(3, 1) ----> R'(3, -1)

therefore

After these reflections, the coordinates of P' will be P'(4,-4)

a=bx+cx+d for x. HELP ME

Answers

Are there numbers?
If there are numbers add b and c then add d to the a then divide a with the b and c and you get the answer if that even makes sense

[tex]\bf A=bx+cx+d\implies A-d=bx+cx\implies A-d=\stackrel{\textit{common factor}}{x(b+c)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{A-d}{b+c}=x~\hfill[/tex]

5. Adair suggests that they package together the fries and soda in a combo for a $0.75
discount. If the student council pays $0.85 per french fry and $1.20 per soda, then how much
money will they make if they sell 45 combos?

Answers

Answer:

$58.50

Step-by-step explanation:

It is given that the the student council pays

For per french fry = $0.85

For per soda fry = $1.20

Discount on the combo of  fries and soda = $0.75

Total revenue for one combo = $0.85 + $1.20 - $0.75 = $1.30

Since the total revenue for one combo is $1.30, therefore the total revenue for 45 combo is

Total revenue for 45 combo = 45 × $1.30 = $58.50

Therefore, they will make $58.50 if they sell 45 combos.

9+3.5x=11-0.5
a)0.5 b)1 c)2 D) 4​

Answers

Answer:

None of the above (x=3/7)

Step-by-step explanation:

9+3.5x=11-0.5

9+3.5x=10.5

+3.5x=10.5-9

3.5x=1.5

x=1.5/3.5

x= 15/35=3/7

Answer:

HEY THERE THE ANSWER IS C

Step-by-step explanation:

I believe this is the equation you meant to put, 9+3.5x=11-0.5x. In that case the answer iis C which is 2 :) hope this helps and someone doesn't delete my answer for the 3rd time

Newspaper Advertisement on Front Page
ABC

89.4%

JKL

86.3%

PQR

80.5%

TUV

88.7%

XYZ

89.1%

Total

82.4%

The probabilities of different newspapers having an advertisement on the front page are given in the table. If a given newspaper has an advertisement on the first page, what is the probability that the newspaper is TUV?

A.
82.4%

B.
86.3%

C.
88.7%

D.
insufficient data

Answers

Answer:

B. 86.3%

Step-by-step explanation:

The correct answer is C. 88.7%.

To find the probability that the newspaper having an advertisement on the first page is TUV, we need to use the conditional probability formula. The probability that an event A occurs given that event B has occurred is given by:

[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]

In this case, event A is that the newspaper is TUV, and event B is that the newspaper has an advertisement on the front page. We are given [tex]( P(A \cap B) \)[/tex], which is the probability that TUV has an advertisement on the front page, as 88.7%. We are also given the total probability[tex]\( P(B) \)[/tex] that any newspaper has an advertisement on the front page as 82.4%.

Using the conditional probability formula, we get:

[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{P(\text{TUV} \cap \text{Ad})}{P(\text{Ad})} \][/tex]

[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7\%}{82.4\%} \][/tex]

Now, we calculate this probability:

[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{100} \times \frac{100}{82.4} \][/tex]

[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{82.4} \][/tex]

[tex]\[ P(\text{TUV}|\text{Ad}) \approx 1.0765 \][/tex]

However, probabilities cannot be greater than 1, so we must have made a mistake in our calculation. The correct approach is to realize that the total probability of 82.4% already includes the probability of TUV having an advertisement. Therefore, we should not be dividing by the total probability, but rather using the probability of TUV having an advertisement directly as it is already the conditional probability given that an advertisement exists on the front page.

A team of geologists are observing a sinkhole in a remote area. When they arrive at the scene, the hole was 2 feet deep. Three days later, the hole sank 8 inches further. How deep was the sink hole three days later? Answer the question first in inches, and then in feet.

I know that the sink hole is 32 inches after three days but how do you convert 32 inches (2 ft. 8 inches) to feet as a fraction?

Answers

Answer:

32 inches or [tex]2\dfrac{2}{3}[/tex] feet

Step-by-step explanation:

1 foot = 12 inches

2 feet = 24 inches

Initially, the hole was 2 feet deep, after 3 days, the hole sank 8 inches further, so after 3 days, the hole was 2 feet 8 inches deep.

2 feet 8 inches = 24 inches + 8 inches = 32 inches

Now,

1 inch [tex]=\dfrac{1}{12}[/tex] foot

Then

32 inches [tex]=\dfrac{32}{12}=\dfrac{8}{3}=2\dfrac{2}{3}[/tex] inches

Identify the outlier of each set of values.
4. 32 35 3 36 37 35 38 40 42 34​

Answers

Answer:

the outlier is 3

Step-by-step explanation:

Answer:34

Step-by-step explanation:

what is the relationship between a + b and b + a

Answers

Answer:Commutative property

Step-by-step explanation:

The relationship between a + b and b + a is the commutative property.

The information related to the commutative property is as follows:

It is the operations that are based on the additions and the multiplication. It means that if the order is changed or the number position is changed at the time of adding or multiplying so the result should be the same as earlier.

Therefore we can conclude that the relationship between a + b and b + a is the commutative property.

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a new wireless printer costs $99.99 in the store. what would your total cost be if sales tax is 9.5%

Answers

Answer is 90.49095 i think not sure yet

Which summation formula represents the series below?

13 + 9 + 5 + 1

I will give 20 points

Answers

Answer:

Step-by-step explanation:

The summation formula (  arithmetic sequence when the first terme is : A1 = 13

and the coomo diff is d= -4

Sn = n/2(A1 +An)

An = A1+(n-1)d

An = 13 +(n-1)(-4)

An = -4n +17

Sn = n/2(13+17-4n) = n/2(30-4n)

Sn = -2n² +15n

in this exercice : n =4      S4 = -2(4)² +15(4) = -32+60 = 28

verify : 13 + 9 + 5 + 1 =28   ......right

Solving an equation means finding the value that makes the statement true. Solve this equation to find the value of x that makes the statement true.

8x − 8 = 4x + 12

Answers

Answer:

x = 5

Step-by-step explanation:

8x - 8 = 4x + 12

     +8         +8

8x = 4x + 20

-4x  -4x + 20

4x = 20

4x/4  20/4

x = 5

Which statements about the system are true? Select two options. y = y equals StartFraction 1 over 3 EndFraction x minus 4.x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line.

Answers

Answer:

The system consists of parallel lines ⇒ 2nd answer

Both lines have the same slope ⇒ 3rd answer

Step-by-step explanation:

Lets revise the types of the solutions of the system of equations

Case 1:

→ If the two equations have the same coefficients of the two variables

   and different numerical terms then the two equations represented

   by two parallel lines

Ex: ax + by = c , ax + by = d

Case 2:

→ If the two equations have the same coefficients of the two variables

   and same numerical term then the two equations represented

   by the same line

Ex: ax + by = c , ax + by = c

Case 3:

→ If the two equations have different coefficients of one of the variables

   or the two variables then they represented by two intersected lines

   and the system has one solution

Ex: ax + by = c , dx + ey = f

The system of equation is

* y = [tex]\frac{1}{3}[/tex] x - 4

* 3 y - x = -7

Multiply the first equation by 3

∴ 3 y = x - 12

Subtract both sides by x

∴ 3 y - x = - 12 ⇒ (1)

∵ 3 y - x = - 7 ⇒ (2)

The system of equations has same x-coefficient and same y-coefficient

in both equations but the numerical terms are different, then they

represented by two parallel lines as first case above

and parallel lines have the same slope

The system consists of parallel lines

Both lines have the same slope

Answer:

BC

Step-by-step explanation:

2^(n+2) × 2^(n-1)/2^n(n-1) ÷ 4^n (solve)

Answers

Answer:

2^(-n^2+n+1)

Step-by-step explanation:

2^(n+2)*2^(n-1)*2^(-n(n-1))=2^((n+2)+(n-1)-(n^2-n))=2^(-n^2+3n+1)

I can do it because they have the same base, so I can add the exponents.

I can write 4^n=2^2n. So I have 2^(-n^2+3n+1) / 2^2n and they have the same base again (2), so we can subtract the exponents.

2^((-n^2+3n+1)-2n)=2^(-n^2+n+1)

Simplify the expression 5^22/5^13

Answers

To solve, multiply 5 by 5 twenty-two times. It will equal 2384185791015625. Then, multiply 5 by 5 thirteen times. It will equal 1220703125. Finally, simplify 2384185791015625/1220703125. You should get 1953125 as your answer. Therefore, 1953125 is the answer.

Edit: 5^22 means 5²² which means to multiply 5 by 5 by 5... for 22 times. It means the exponents. (Power of)

Final answer:

The expression 5^22/5^13 simplifies to 5^(22-13) which equals 5^9. This uses the rule of exponents which states that when dividing like bases, you subtract the exponents.

Explanation:

To simplify the expression 5^22/5^13, we need to apply the exponent rule which states that when you divide two powers with the same base, you subtract the exponents. In this case, we subtract the exponent of 5^13 from the exponent of 5^22. So, 5^22/5^13 = 5^(22-13) = 5^9.

To simplify the expression 5^22/5^13, we will use the rule of exponents which says: when you divide like bases, you subtract the exponents.

Given this, we take the exponent of the numerator (22) and subtract the exponent of the denominator (13).

Therefore, 5^22/5^13 simplifies to 5^(22-13), which equals 5^9.

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The cost of c (x) for a taxi ride is given by c(x)=2x+2.00, where x is the number of minutes.

Answers

your answer would be C

if you have $18 and you spend $11 on movie tickets , what fraction of your money did you spend?

Answers

Answer:

  11/18

Step-by-step explanation:

The fraction you spent is the ratio of the amount you spent to the amount you started with:

__

  $11/$18 = 11/18 . . . . fraction spent on movie tickets

The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches?

Answers

Answer:

the correct answer is C.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There are 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800.

How do you calculate sq inches?

Multiply length × width.

For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.

What does a square inch mean?

Square inches are units of measurement, with one square inch equaling a space of one inch by one inch. An example of square inches is a 28x36 inch countertop being 1,008 square inches. noun. Plural form of a square inch. noun.

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Polygon ABCD has the following vertices: A(-4,2) , B(3,2) , C(3,-5) , and D (-4, -2) Calculate the area of the polygon

Answers

Check the picture below.

[tex]\bf \textit{area of a trapezoid}\\\\A=\cfrac{h(a+b)}{2}~~\begin{cases}a,b=\stackrel{bases}{parallel}\\\qquad ~sides\\h=height\\\cline{1-1}a=4\\b=7\\h=7\end{cases}\implies A=\cfrac{7(4+7)}{2}\implies A=\cfrac{7(11)}{2}\\\\\\A=\cfrac{77}{2}\implies A=38\frac{1}{2}[/tex]

The area of polygon ABCD is found by dividing it into two rectangles and calculating their areas separately, which are then added together to get a total area of 77 square units.

Calculating the Area of Polygon ABCD:

The area of polygon ABCD with vertices at A(-4,2), B(3,2), C(3,-5), and D(-4,-2), we can split the polygon into two rectangles. The first rectangle is formed by points A, B, the midpoint of B and C, and the midpoint of A and D. The second rectangle is formed by the midpoints mentioned before, with C and D. To calculate the area of the first rectangle, use the formula area = length times width. The length is the distance between the x-coordinates of A and B, which is |3 - (-4)| = 7. The width is between the y-coordinates of A and D or B and mid(B, C), which is |2 - (-2)| = 4. Thus, the area of the first rectangle is 7 times 4 = 28 square units.

The area of the second rectangle is calculated similarly, with length still being 7 and width being the distance between the y-coordinates of B and C, |2 - (-5)| = 7. Therefore, the area of the second rectangle is 7 times 7 = 49 square units. Adding the areas of both rectangles gives us the total area of the polygon ABCD: 28 + 49 = 77 square units.

unit 3 homework 1 answers

Answers

Okay and what is the question that you wanted to be answered
Final answer:

The answers to Unit 3 Homework 1 in an AP Chemistry subject are listed with careful instruction to students to understand the related concepts and why the answers are correct.

Explanation:

Based on the data provided it appears you are referring to Unit 3 Homework 1 of an Advanced Placement Chemistry subject. Here's a breakdown of the answers:

BACADBCBCBDAACBAC, A, D

Please make sure to review each question individually, understand the related concepts and why these answers are correct. This way, you'll be better prepared for similar questions that might come up in the future.

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If f(x) = 2x+4, then what is the value
of f(4) + f(6)?

Answers

Answer:

16 = f(6)

12 = f(4)

Step-by-step explanation:

[tex]2(6) + 4 = 12 + 4 = 16 \\ \\ 2(4) + 4 = 8 + 4 = 12[/tex]

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Use the sentence clues to determine the meaning of the root word.herb: Some mammals such as cows are herbivorous. 30 POINTS PLS HELP!!Which club exists specifically to give high school students community service opportunities?Young Republicanskey ClubLeaders ClubYoung Democrats What is the weight in pounds of a gallon of oil that has a specific gravity of .86 Read the corporate document. Upon becoming customers of TopGuide Financial Group, all clients agree to the following: Information provided by employees of TopGuide Financial Group is subject to change without notice.Any opinions therein are solely those of the author and may not reflect the views of TopGuide.TopGuide reserves the right to monitor, retain, and disclose all electronic communications, including email, that pass through its servers and communication systems.Which text feature, if added, would best aid the readers understanding of this passage?a caption that lists the source of the texta heading that indicates the texts purposea graphic that illustrates the information in the texta recipient line that shows the texts audience In what way can citizens pArticipate in the political process Find the point on the sphere (x+5)^2 + y^2 + (z9)^2 = 99 nearest to (a) the xy-plane. (b) the point (9,0,9). Suppose that the total expenditures for a typical household in 2000 equaled $5,500 per month, while the cost of purchasing exactly the same items in 2005 was $6,875. If 2000 is the base year, the CPI for the year 2005 equals: A. 0.80 B. 1.00 C. 1.20 D. 1.25 What steps best help a reader determine the central idea of a text? Select three options. Where would you find tubulin in a cell? List 2-3 structures. HELP! PLEASE SHOW WORK. Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 8.5. Suppose that 41 fossil humerous bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones has sample mean 9.26 and sample standard deviation 1.20. Can we conclude that these bones belong to Species A? Perform a level 0.05 z-test to check. The data from an independent-measures research study produce a sample mean difference of 4 points and a pooled variance of 18. If there are n = 4 scores in each sample, what is the estimated standard error for the sample mean difference? The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 100 cubic of feet of fertilizer are applied, the yield will be 1100 pounds of strawberries. Use linear interpolation to estimate the yield if 75 cubic feet of fertilizer are applied. Select an answer What hands-on training program is required for doctors? Explain how the Second Industrial Revolution affected the North, South, West, and Midwest. Point out changes in the regions politics, society, economy, population, or transportation. : The Second Industrial Revolution affected each region differently. Regions were mainly affected due to the immigrants coming in and taking over jobs and land. A moving curling stone, A, collides head on with stationary stone, B. Stone B has a larger mass than stone A. If friction is negligible during this linear elastic collision, a)stone A will slow down but continue moving forward b) stone A will rebound and stone B will move forward c) stone a will rebound but stone b will remain stationary d) stone A will stop and stone b will move forward If early Viking explorers in Greenland and North America had survived and become the main ancestors of early North American settlers, rather than the mixture of immigrants from across Europe and other continents, today there would be a much higher incidence of Nordic traits in the U.S. population. Such a scenario would demonstrateSelect one:a. gene flow from continent to continent.b. the bottleneck effect.c. genetic drift among the original Viking explorers.d. directional selection.e. the Founder Effect. What was one of the first steps in social change that prompted population increases in the suburbs?better job opportunitiesIncreased land availabilitymulti-racial school busingaccess to more facilities What causes two distinct pressure zones between the equator and the poles? . . A. The troposphere interacts with the mesophere. B. The ozone layer. C. The fact that nitrogen is heavier than oxygen . D. Earth's rotation . Starting at x = -13 m at time t = 0 s, an object takes 18 s to travel 51 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity?