What is ten times a number, increased by nine, is 59

Answers

Answer 1

Answer:

5

Step-by-step explanation:

10 times 5 = 50

50 + 9 = 59

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Answer 2

The number is = 5

Find the missing number

Let's take the number to be = X

Ten times a number= 10 × X = 10x

Increased by 9 is 59 = 10x + 9 = 59

To find X,

10x = 59 - 9

10x = 50

make X the subject of formula,

X = 50/10

X = 5

Therefore, the number is 5

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Related Questions

Marissa is ordering from least to greatest. Here are her steps:

Answers

The correct answer is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Question 10 of 11 Step 1 of 1
Correct
Thcorrect
One group (A) contains 390 people. Three fifths of the people in group A will be selected to win $100 fuel cards. There is another group (B) in a nearby town that will
receive the same number of fuel cards, but there are 553 people in that group. What will be the ratio of nonwinners in group Ato nonwinners in group B after the
selections are made? Express your ratio as a fraction or with a colon.
Answer
keypad
Restore Your Guth
2019 Hawkes Learning

Answers

Final answer:

To find the ratio of nonwinners in group A to nonwinners in group B, subtract the number of winners from the total number of people in each group. The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.

Explanation:

To find the ratio of nonwinners in group A to nonwinners in group B, we need to determine the number of winners in each group and subtract that from the total number of people in each group to find the nonwinners.

In group A, three-fifths of the 390 people will win fuel cards, which is equal to (3/5) * 390 = 234 people winning cards. So, the number of nonwinners in group A is 390 - 234 = 156.

In group B, the same number of fuel cards will be given out, but there are 553 people in that group. So, the number of nonwinners in group B is 553 - 234 = 319.

The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.

Write an equation of the line passing through each of the following pairs of points. a (−10, 4), (2, −5)

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 10, 4) and (x₂, y₂ ) = (2, - 5)

m = [tex]\frac{-5-4}{2+10}[/tex] = [tex]\frac{-9}{12}[/tex] = - [tex]\frac{3}{4}[/tex], thus

y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of the line

To find c substitute either of the 2 given points into the partial equation

Using (2, - 5), then

- 5 = - [tex]\frac{3}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]

y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← equation of line

Saleem says 45 × 32 is the same as (45 × 3) + (45 × 2). Explain Saleem’s error using words, numbers, and/or pictures.

Answers

Answer:

[tex]45\times 32 \neq (45\times 3) + (45\times 2)[/tex]

Step-by-step explanation:

First we will evaluate the value of the expressions.

[tex]45\times 32 = 1440[/tex]

[tex](45\times 3) + (45\times 2) = 225[/tex]

Hence, Saleem made an error in the evaluation of product of 45 and 32.

Saleem did a mistake in placing the values that is in 32, 3 is at ten's place so he should have multiplied 45 by 30 instead of 3.

The product can be evaluated in a correct manner as:

[tex](45\times 30) + (45\times 2) = 1350 + 90 = 1440[/tex]

Find the value of x in each case

Answers

Answer:

x=17

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

In the triangle ABC

m∠A+m∠B+m∠C=180°

substitute the values and solve for m∠C

4x+49°+m∠C=180°

m∠C=180°-49°-4x

m∠C=131°-4x

In the triangle EDC

m∠E+m∠D+m∠C=180°

we have

m∠E=x

m∠D=100°

m∠C=131°-4x -----> by vertical angles

substitute the values

[tex]x+100\°+(131\°-4x)=180\°\\-3x+231\°=180\°\\3x=231\°-180\°\\3x=51\°\\x=17[/tex]

Final answer:

The value of x for the given geometric problem is determined to be 17 by using the concept that the sum of the internal angles of a triangle is equal to 180 degrees.

Explanation:

We are looking to find the value of x where two triangles are involved.

First, according to the laws of geometry, the sum of the internal angles of a triangle must be equal to 180 degrees.

So, in triangle ABC, m∠A+m∠B+m∠C=180°.

If we have m∠A = 4x and m∠B = 49°, then by substituting these values, m∠C becomes 180° - (49° + 4x) i.e 131° - 4x.

In the triangle EDC, the summation m∠E + m∠D + m∠C also equals 180°.

If m∠E=x, m∠D=100°, and m∠C=131°-4x, we can form an equation of x + 100 + 131 - 4x = 180 which simplifies to 231 - 3x = 180. Solving this equation gives x = 17.

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Least common multiple for 8,12,and24

Answers

Answer:

Its 24

Step-by-step explanation:

24 is the answer step by step

Can someone please help me with these questions thank you
2-51
“Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by 2 factors (Imagine using two rubber bands). Label this new triangle A’B’C’.

A) What are the side lengths of the original triangle, ABC?

B) What are the side lengths of the enlarged, A’B’C?

C) Calculate the area and the perimeter of A’B’C.

Answers

Answer:A) What are the side lengths of the original triangle, ABC?

B) What are the side lengths of the enlarged, A’B’C?

C) Calculate the area and the perimeter of A’B’C.

The required measure of the angle x and y is 45° and 109° respectively.

What is the isosceles triangle?

A triangle with two sides and two congruent angles is called an isosceles triangle.

Here,
A)

triangle is isosceles, so the two angles will be equal, and the sum of the angles in the triangle is 90°.
2x + x + x = 180
4x = 180
x = 180 / 4

x = 45


Similarly,
(B)
Some of the remote interior angles is equal to the remote exterior angle,
71 + (180 - 142) = y
y = 71 + 38
y = 109°

Thus, the required measure of the angle x and y is 45° and 109° respectively.

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What is the ordered pair of C' after point C (1, 2) is rotated 90° clockwise?

A. C' (-1,2)

B. C (1, -2)

C. C (2,1)

D. C' (2, -1)

Answers

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

C(1, 2 ) → C'(2, - 1 ) → D

The image after the rotation is C' (2, -1), the correct option is D.

What is the image after the rotation?

Here we have the point (1, 2), and we have a rotation of 90° clockwise.

Notice that our point is on the first quadrant, then a rotation of 90° will leave us in the fourth quadrant.

The change that we will have is a permutation of the values, and the y-value must become negative, then the transformation gives:

(1, 2) ---> (2, -1)

The correct option is D.

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x y
3 −2
6 3
9 8
12 13

Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.

Answers

A

both the x and y values are increasing at a steady rate (x by 3 and y by 5)

because it’s y/x, you would put the increase in the y value over the increase in the x value

hope that helps :)

Answer:

A.

Step-by-step explanation:

Yes, they have a proportional relationship.

The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:

[tex]m=\frac{13-(-2)}{12-3} =\frac{15}{9}=\frac{5}{3}[/tex]

This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.

Therefore, the right answer is the first one A.

“which expression is the factored form of x^2-7x+10?”

Answers

(X-5)(x-2) here you go

You have $200 on a savings account and$100 in a checking account each week you add $50 to your savings account and $30 to your checking account Write an expression in simplest form that represents the total amount of money in both accounts after w weeks

Answers

Answer:

The expression is (80w+300)

Step-by-step explanation:

Let

y ----> the total amount of money in both accounts

s ----> the  amount of money in saving account

c ----> the amount of money in checking account

w ----> the number of weeks

we know that

saving account

s=50w+200 -----> equation A

checking account

c=30w+100 ----> equation B

To find out the total amount of money in both accounts, sum equation A and equation B

y=s+c

substitute

y=(50w+200)+(30w+100)

y=(50w+30w)+(200+100)

y=80w+300

therefore

The expression is (80w+300)

7x+18−6(x+1)−12 Please answer this you get 10 points!!!!

Answers

Answer:

x

Step-by-step explanation:

7x+18−6(x+1)−12

start out with distributive property

7x+18+(-6x)+(-6)+(-12)

then add the common things together

x+0

answer is just x, or infine answers, you could put in anything for x

what is the solution to the system of equations?
x+y=6
x=y+2

a. (4,2)
b. (3,3)
c. (2,4)
d. (6,4)

Answers

Answer:

a

Step-by-step explanation:

a. x=4, y=2

plug it in:

4+20=6 true

b. x=3, y=3

3+3=6

3=3+2

3=5 not equal

c. x=2,y=4

2+4=6

2=4+2

2=6 not true

d. x=6, y=4

6+4=6 not true

6=4+2

Find last year's salary if, after a 2% pay raise, this year's salary is $36,720.​

Answers

36,720 • 0.02 = 734.4
36,720 - 734.4 = 35,985.60

last years salary = $35,985.60

Simplify these expressions.
a. 13xyz + 9 + 2xyz + 3
b. 6ab + (–2ab) + 4 + 6

Answers

Answer:

a.  13xyz + 9 + 2xyz + 3

13xyz+2xyz+ 9+3 ( combine like terms)

15xyz+12

b. 6ab + (–2ab) + 4 + 6

6ab-2ab+4+6

4ab+10

Answer:

a. 13xyz + 9 + 2xyz + 3

Combine the coefficents of the like monomials.

(13 + 2 = 15)

15xyz + 9 + 3

Add the constants (9 + 3 = 12).

Answer: 15xyz + 12

b. 6ab + (–2ab) + 4 + 6

Combine the coefficents of the like monomials.

[6 + (–2) = 4]

4ab + 4 + 6

Add the constants (4 + 6 = 10).

Answer: 4ab + 10

Step-by-step explanation:

straight from Penn

Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?

2 hours
1 1/3 hours
2 2/3 hours
5 1/3 hours

Answers

Answer: 1 1/3 hours

Step-by-step explanation:

3/4 hour = 45 minutes

7/12 hour =35 minutes

45 +35 = 80 minutes ÷ 60 minutes = 1 1/3 hours

Its 1 1/3 hours that should be the answer

If BD = 7x - 10, BC = 4x – 29, and CD = 5x – 9, find each value.

Answers

[tex]\bf \underset{\leftarrow \qquad \textit{\large 7x-10}\qquad \to }{\stackrel{4x-29}{\boxed{B}\rule[0.35em]{10em}{0.25pt}} C\stackrel{5x-9}{\rule[0.35em]{17em}{0.25pt}\boxed{D}}} \\\\\\ BD=BC+CD\implies 7x-10=(4x-29)+(5x-9) \\\\\\ 7x-10=9x-38\implies 7x+28=9x\implies 28=2x \\\\\\ \cfrac{28}{2}=x\implies 14=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{BC}{4(14)-29\implies 27}~\hfill \stackrel{CD}{5(14)-9\implies 61}~\hfill \stackrel{BD}{7(14)-10\implies 88}[/tex]

Clinton’s garden is 12.25 m long and 14 m
wide. Find the perimeter of Clinton’s garden.

Answers

Answer:

P = 52.5

Step-by-step explanation:

P = ( L + L ) + ( W + W )

P = ( 12.25 + 12.25 ) + ( 14 + 14 )

P = 24.5 + 28

P = 52.5

Hello!

because of the way Clinton's yard is measured, it must be a rectangle.

here is the equation to find the perimeter of a rectangle:

L2 + W2 = P

12.25 * 2 = 24.5

14 * 2 = 28

24.5 + 28 = 52.5

your answer is: The perimeter of Clinton's yard is 52.5 Meters

I hope this helps, and have a nice day!

Solve for j. -1j+1>2
Please help.

Answers

Answer:

I think the answer is j > 1


Oranges are on sale for $0.78 per pound. Bananas are on sale for $0.50 per pound. Debbie buys only oranges at the store this week. Is the total price she pays proportional to the pounds of oranges she purchased?

Answers

Answer: May you please have answer choices. Please forgive me if I am being rude but I am not.

Answer:

Yes, the total price is proportional to the pounds of oranges she purchased.

Step-by-step explanation:

The price of oranges is $0.78 per pound.

So, the price $0.78 corresponds to one pound, in a way, that is called direct proportionality.

This means that the price will increase or decrease in a constant ratio, depending on the amount of pounds purchased.

For example:

If she buys 1 pound of oranges she will pay $0.78. Ratio is 0.78 (0.78/1)

If she buys 2 pounds of oranges she will pay $1.56. Ratio is 0.78 (1.56/2)

If she buys 2.5 pounds of oranges she will pay $1.95. Ratio is 0.78 (1.95/2.5)

If she buys 3 pounds of oranges she will pay $2.34. Ratio is 0.78(2.34/3)

We can see that ratio is constant, then we can say that the total price she pays is proportional to the pounds of oranged purchased.

i don’t understand how to find this. can anyone break it down for me .

Answers

Answer:

See below.

Step-by-step explanation:

There is an infinite number of values of x that make each answer true. The problem is asking "for which value" with value in the singular, so I thought it was asking to choose one answer from several, and only one was correct.

1a.

Any number between 8 and 9 is correct.

Examples: 8.1, 8.01, 8.2, 8.3, 8.4, 8.9, 8.95, etc.

As I wrote above, there is an infinite number of correct answers.

1b.

Examples: 8.91, 8.92, 8.93, 8.99, 8.905, 8.97, etc.

Answer:

Assuming that inequalities are a valid answer for this question:

1a. 8 < x < 9

1b. 8.9 < x < 9.1

Step-by-step explanation:

Really, there's no exact answer. For example, on 1a, it could be 8.1, 8.11, 8.2, 8.99999, etc. Inequalities are used to denote the fact that the x value can be anywhere between two values. In 1a, x is between 8 and 9, and in 2a, x is between 8.9 and 9.1.

A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
A) the sum of the residuals
B) the sum of the squared residuals
C) the sum of the absolute value of the residuals
D) the influence of outliers
E) the slope

Answers

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

The only correct option that is minimized by the least squares regression line is;

Option B; the sum of the squared residuals.

We want to find the correct option that minimizes the line. Let's look at the options ;

Option A; This statement is not correct because If you do a summation of the residuals, you would get a value of 0.

Option B; Since error needs to be minimized so that the line is a close to the points as possible and as seen above that the sum of the residuals is zero. Then before we sum them, we need to first of all square the residuals which will always give a positive value. Thus, since the Least Square Regression Line minimizes the sum of residuals, then this option is correct.

Option C; This option is wrong because the sum of the absolute values of the residuals is not a method for in creation of least squares regression line

Option D; This option is wrong because the influence of outliers has nothing to do with the topic in question.

Option E; This option is wrong too because slope has nothing to do with the topic in question.

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When F(x)=-3 What is X

Answers

Correct answer will be= f (-3)=1

Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
nothing feet.

Answers

Answer:

"total change in altitude for all 4 balloons is 8260 feet"

Step-by-step explanation:

295 feet per minute, so in 7 minutes:

Descend (for 7 minutes) = 295 * 7 = 2065 feet

This is for a single balloon.

So for 4 balloons, this would be:

2065 * 4 = 8260 feet in total

So, total change in altitude for all 4 balloons is 8260 feet

Compare the integers -13 and 15

Answers

-13is negative and is 13 spaces away from 0. 15 is positive and is 15 spaces away from 0.

Ten years ago,a father was five times as old as his son.their combined age now is 80.find the age of the son​

Answers

Answer:

The son is now 20. The father is now 60

Step-by-step explanation:

The son was 10, ten years ago. Five times that was 50 years, the age of the father. Now they have both aged 10 years, and the son is 20 and the father is 60. Add them together, and it makes 80.

CAN EXPLAIN FURTHER

appreciate brainliest but it doesn't matter

Answer:

20 years old

Step-by-step explanation:

10 → Ten years ago

50 → The father was five times as old as his son.

Current Ages

20 → Son

60 → Father

[tex]20 + 60 = 80[/tex]

I am joyous to assist you anytime.

-x^2 +9x-12 in vertex form
please help !!!

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this firm use the method of completing the square

Factor out - 1 from each term

y = - (x² - 9x + 12)[tex]\frac{33}{4}[/tex]

To complete the square

add/subtract (half the coefficient of the x- term )² to x² - 9x

y = - (x² + 2( - [tex]\frac{9}{2}[/tex])x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 12 )

  = - ( (x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{33}{4}[/tex] )

y = - (x - [tex]\frac{9}{2}[/tex] )² + [tex]\frac{33}{4}[/tex] ← in vertex form

175,000
In Scientific notation

Answers

Answer:

1.75*10 to the power of 5

Step-by-step explanation:

start by moving the decimal over until only one number is in front of the decimal. this is because in scientific notation a number can't be higher than 9.

check how many places you move the decimal over (5). 1.75000 needs to be simplified (since that's the point of scientific notation) and can be simplified to 1.75.

the answer is 1.75 multiplied by ten to the power of digits the decimal moved (5) so the answer is 1.75*10 to the power of 5

175,000 in scientific notation is 1.75 × [tex]10^5[/tex].

To express the number 175,000 in scientific notation, follow these steps:

Move the decimal point in the number to the position after the first non-zero digit. For 175,000, this is 1.75.

Count the number of places the decimal point has moved to determine the exponent of 10. In this case, the decimal point moves 5 places to the left.

Combine the number obtained in the first step with the power of 10 determined in the second step. Thus, 175,000 in scientific notation is 1.75 × [tex]10^5[/tex].

This provides a concise representation of the number.

How to find the mean of the integers of -26, 39, -10, -16, 12, 31

Answers

Answer:

mean = 5

Step-by-step explanation:

"mean" is another term for "average"

to find the mean, you have to add all the integers up, and divide by the number of integers there are.

So you have to combine all the numbers together

-26 +39 -10 -16 +12 +31 = 30

Now you have to divide by 6, since there are 6 integers that you combined to get 30

30/6 = 5

the mean = 5

Hope this helps!

If you have any questions, feel free to ask :)

6.
Tickets to a basketball game cost $1.50
o a basketball game cost $1.50 for students and $3.25 for adults. The
school made $752.25 and sold 358 tickets. How many student and how many
adult tickets were sold?

Answers

Answer: Adult tickets = 123

              Student tickets = 235

Step-by-step explanation:

Let x represent the number of adult tickets sold and

let y represent the number of student tickets sold

Then create two equations: Quantity & Cost

Cost:    3.25x + 1.50y = 752.25

Qty:           x   +        y =  358

I am going to solve the system using the substitution method.

You can also solve using the elimination method.

Since x + y = 358

then        y = 358 - x

Substitute y in the Cost equation with 358 - x    and solve for x

3.25x + 1.50(358 - x) = 752.25

3.25x  + 537  - 1.50x = 752.25

1.75x    + 537             = 752.25

1.75x                          = 215.25

      x                          = 123

Now substitute x with 123 into the Quantity equation to solve for y

 x  +  y = 358

123 + y = 358

         y = 235

Other Questions
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? Suppose that Italy and Germany both produce beer and cheese. Italy's opportunity cost of producing a pound of cheese is 5 barrels of beer while Germany's opportunity cost of producing a pound of cheese is 10 barrels of beer. By comparing the opportunity cost of producing cheese in the two countries, you can tell that has a comparative advantage in the production of cheese and has a comparative advantage in the production of beer. Suppose that Italy and Germany consider trading cheese and beer with each other. Italy can gain from specialization and trade as long as it receives more than of beer for each pound of cheese it exports to Germany. Similarly, Germany can gain from trade as long as it receives more than of cheese for each barrel of beer it exports to Italy. Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Germany and Italy to gain from trade? Check all that apply. 8 barrels of beer per pound of cheese 3 barrels of beer per pound of cheese 9 barrels of beer per pound of cheese 1 barrel of beer per pound of cheese What is an accurate definition of a lifestyle?the collection of things a person has donea priority, principle, or belief that guides a persons lifea way of living that shows the beliefs and opinions of a person or group of peoplethe factors that have influenced a person throughout life What enzyme complex is responsible for transcription? a. DNA polymerase b. RNA polymerase c. hexokinase d. amylase