Describe how to find the sums -4+2 and -4+(-2) on a number line.

Answers

Answer 1

For -4+2, plot -4, then move to the right 2 spaces. You should land on -2.

For -4+(-2), plot -4 then move the left 2 spaces. You should land on -6.

Answer 2

Answer: Make a number line. Start at 0. For -4+2 you go back 4 on a number line. Then you add 2. You will end up on -2. For -4+(-2) you start at 0. You go back 4 until you reach -4, then you go back another 2. You should end up on -6.


Related Questions

prime numbers between 15 and 24​

Answers

Answer:

The prime numbers between 15 and 24 are 17, 19, and 23.

10(1 – 2y) = -5(2Y - 1)

Answers

Answer:

y =1/2

Step-by-step explanation:

solve for ; y

10(1 – 2y) = -5(2Y - 1)

-10(2y-1) +5(2Y - 1) =0

(2y-1)(-10+5) = 0

-5(2y-1) =0

2y-1=0

y = 1/2

Answer:

y = 1/2

Step-by-step explanation:

1) 10(1 - 2y) = -5(2y - 1)

Multiply 10 into the parentheses, then multiply -5 into the parentheses.

2) 10 - 20y = -10y + 5

Remember, double negatives when multiplying make positive numbersNext, switch -10y with 5 so you'll have like terms on each side.

3) 10y - 20y = -10 + 5

When you switch terms, you change the signs of them to either negative/positive. Now, subtract 10y - 20y & add -10 & 5 together.

4) -10y = -5

Divide -10 into -5.

5) y = -5/-10

What is present above is not the correct answer. You must simplify the fraction, & make the fraction a positive one.

6) y = 1/2

Now you have your answer. 10(1 - 2y) = -5(2y -1) is 1/2 or 0.5

Here's how to check your answer.

10(1 - 2(1/2)) = -5(2(1/2) - 1)

10(1 - 1) = -5(1 - 1)

2 times 1/2 equals 2/2, which would then be revised to 1.

10(0) = -5(0)

0=0

5 dollars for 3 cans of tuna? What’s the rate?

Answers

Answer:

one can of tuna is 1.66666666667$

Step-by-step explanation:

Expand (3x+8)^2

If necessary, combine like terms

Answers

(3x+8)(3x+8)=
9x^2+24x+24x+64=
9x^2+48x+64

Answer:

9x^2+48x+64

Step-by-step explanation:

“35 more than .8 times a number is the same as 43 less than the product of -7 and the number.”
Please help and show the work :) I’m super lost.

Answers

Final answer:

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as 0.8x + 35 = -7x - 43. Solving for 'x', we find that the number is -10.

Explanation:

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as:

0.8x + 35 = -7x - 43

To solve for 'x', we need to isolate it on one side of the equation. Let's start by moving the '-7x' term to the left side:

0.8x + 7x = -43 - 35

Combining the 'x' terms and simplifying the right side:

7.8x = -78

Dividing both sides by 7.8:

x = -10

Therefore, the number is -10.

Final answer:

The detailed answer explains how to solve an equation where 35 more than .8 times a number is equal to 43 less than the product of -7 and the number.

Explanation:

The question given is: 35 more than .8 times a number is the same as 43 less than the product of -7 and the number.

To solve this equation step by step:

Let the number be x.

Translate the given sentence into an equation: 0.8x + 35 = -7x - 43.

Solve for x by bringing all x terms to one side and the constants to the other side.

Finally, x = -5.

What is 1,424,000,000 in scientific notation

Answers

1424000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred fifty-four divisors.-by-step explanation:

1.424 × 10  to the ninth power

What are the answers to this? PLEASE HELP.

Answers

Answer:

Ray : Line NA, Line NB, Line AB

Vertex : Vertex N

Angle: Angle ANB

Parallel Lines: None

Coplanar Points: Points C, A, F, N, B

Collinear Points: Points A, N, B

Segment Addition Postulate: AN + NB = AB

Perpendicular Lines: None

BRAINLIEST PLEASE HELP <3

Answers

Answer:

10(2x22) is not an example of distributive property. That would equal 10x44 not 12x22

Answer:

C does not mean 12 x 22 as you do what is inside the brackets first and this would mean it is 2.22 x 10

Step-by-step explanation:

if there’s two answers on this question, i’ll give whoever said it best & got the right answer brainliest✔

Answers

Hello!

The key word in this is After walking 5 steps forward, Julie walked 5 steps backward

So, she walked forward 5 steps, then walked back the same steps, returning her to her starting position.

your answer is the second graph.

This graph shows what i explained: she starts at 0. goes forward 5, then back 5, returning her to 0.

I hope this helps, and have a nice day!

B

it goes forward, then back

Evaluate. Write your answer as a fraction in simplest form. 1 5/9÷(−2/3)+(−2 3/5)

Answers

Final answer:

To solve the expression, remember the order of operations: convert mixed numbers to improper fractions, perform division by flipping the divisor and multiplying, then add the fractions using the least common denominator. The result is -74/15.

Explanation:

To solve this kind of mathematical expression in the correct order, we need to remember PEMDAS principle (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, convert the mixed numbers into improper fractions. To convert 1 5/9 to an improper fraction, multiply the denominator by the whole number and add the numerator. This gives, 1 5/9 = 9*1+5/9 = 14/9. Similarly, -2 3/5 = -5*2+3/-5 = -13/5.Next, divide 14/9 by -2/3. Dividing fractions involves flipping the divisor and multiplying. So, 14/9 ÷ -2/3 becomes 14/9 × -3/2 = -42/18, which reduces to -7/3 in its simplest form.Finally, add -7/3 to -13/5. When adding fractions, first find the least common denominator (LCD), which in this case would be 15. -7/3 is -35/15 and -13/5 is -39/15. Adding these two together gives -74/15.

So, 1 5/9÷(−2/3)+(−2 3/5) = -74/15 in simplest form.

Learn more about Fraction Division and Addition here:

https://brainly.com/question/36708146

#SPJ11

The simplified result is −74/15. Convert mixed numbers to improper fractions, perform division by multiplying by the reciprocal, and add the fractions.

To evaluate the expression [tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex] , follow these steps:

Convert mixed numbers to improper fractions:

[tex]{1 \, \frac{5}{9}[/tex]  =  [tex]\frac{14}{9}[/tex][tex]{-\frac{2}{3}[/tex]  =  [tex]-\frac{13}{5}[/tex]

Change the division to multiplication by the reciprocal:

[tex]\[ \left(\frac{14}{9}\right) \div \left(-\frac{2}{3}\right) = \left(\frac{14}{9}\right) \times \left(-\frac{3}{2}\right) = -\frac{42}{18} = -\frac{21}{9} = -\frac{7}{3} \][/tex]

Now, add the fractions:

[tex]\[ -\frac{7}{3} + \left(-\frac{13}{5}\right) = \left(-\frac{7}{3} \times \frac{5}{5}\right) + \left(-\frac{13}{5} \times \frac{3}{3}\right) = -\frac{35}{15} - \frac{39}{15} = -\frac{74}{15} \][/tex]

Final answer is :

−74/15

First convert mixed numbers to improper fractions, then perform division by multiplying by the reciprocal, and finally add the fractions together. This gives the final simplified result of −74/15.

Corrected question:

Evaluate. Write your answer as a fraction in simplest form.

[tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex]

Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer if she randomly chooses a pen from her drawer what is the probability that she will choose a black pen

Answers

Answer: 3/11

Because there are 3 black pens and 5 blue and 6 red its 3 out of 11 so it should be 3/11 im not good at explaining just trust me

The probability that she will choose a black pen is 3/14.

Given,

Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer.

She randomly chooses a pen from her drawer.

We need to find out what is the probability that she will choose a black

pen.

What is probability?

The ratio of the number of required events to the number of possible

outcomes of the events.

Example: Tossing the head of a coin.

Number of heads in a coin = 1

Total possible outcome = {head, tail} = 2

P = 1 / 2

We use a combination if we have to select a number of events from total

items.

It is given by:

[tex]^nC_{r}[/tex] = n! / r! (n-r)!

r = required number of items.

n = total number of items.

Find the probability that she will choose a black pen.

Number of pens = 5 blue pens + 3 black pens + 6 red pens = 14 pens

Number of black pens = 3 pens

Probability

= [tex]^3C_{1}[/tex] / [tex]^{14}C_{1}[/tex]

= (3! / 2! ) / ( 14! / 13! )

= 3 / 14

Thus the probability that she will choose a black pen is 3/14.

Learn more about the probability of choosing a pen from the total number of pens given here:

https://brainly.com/question/23649591?referrer=searchResults

#SPJ2

8-3x=17 solve for x and check your answer.

Answers

Answer:

x = 3

Step-by-step explanation:

8 - 3x = 17

You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).

3x = 17 - 8

3x = 9

Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...

x = 9 ÷ 3

x = 3

Answer: -3

Step-by-step explanation:

8-3x=17

-8 on both side to cancel it out

-3x=9

divide -3 on both sides

which would equal to -3

To check

8-3(-3)=17

8+9=17

17=17

Find the product of 11 and -2

Answers

Answer:

-22

Step-by-step explanation:

When multiplying a negative number with a positive number, the answer will always be negative.

Answer:

Step-by-step explanation: Try drawing a number line with negative and positive numbers that go up to at least 11 and subtract 9 to the left where you negatives are and you'll get your answer!

(3x2 + 5x + 9)(6x - 8)

Answers

Step-by-step explanation:

(3x2 + 5x + 9)(6x - 8)

6x(3x2 + 5x + 9) - 8(3x2 + 5x + 9)

18x^3 + 30x^2 + 54 - 24x^2 - 40x - 72

18x^3 + 54x^2 -72 - 40x + 54

18x^3 + 54x^2 - 40x - 18

Answer:

18x3 + 6x2 + 14x – 72

Step-by-step explanation:

the difference of twelve times a number and nine times the number

Answers

Answer:

3 times a number (3x)

Step-by-step explanation: replace the phrase 'a number' with the variable X. then you simply end up with 12x-9x, which equals 3x.

The difference between twelve times a number and nine times the number will be three times a number.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the difference between twelve times a number and nine times the number.

Let the number be x now the mathematical expression of the number is:-

12x - 9 x = 3x

Therefore, the difference between twelve times a number and nine times the number will be three times a number.

To know more about an expression follow

https://brainly.com/question/15874516

#SPJ2

Please help

Put these numbers lowest to greatest -7 /34, -7.5, -7.05, -7.9

Answers

Least to Greatest:

-7.9, -7.5, -7.05, -7/34

Solve for X if possible. 4x-2+x = 2x+8+3x​

Answers

There is no solution because when you simplify the common variables you get 5x-2=5x+8 and when you start goin on with the equation the two 5x’s cancel each other out which leaves -2=8 which is not true

Answer:

No solution/ Not possible

Step-by-step explanation:

Let's write out the equation

4x-2+x= 2x+8+3x

First thing we should do is look and see if there are any like terms that we can combine

4x+x-2=2x+3x+8

5x-2=5x+8

Then we want to get x on one side

By adding 2 to both sides

5x=5x+10

0=10

This is false, so the answer to this is No solution

what is the value of x+(-x)

Answers

Answer: 0

Step-by-step explanation: so lets say that x is 4 so 4 + - 4 is 0

I need help with this problem

Answers

A. would be the answer because if you distribute/factor the expression you would get A.

Answer:

(A)

Step-by-step explanation:

I good way to solve this is to test out each answer. We can do this by setting it equal to the expression given in the question.

Let start with (A). If [tex]x + 2y + x + 2[/tex] is equivalent to (A) then we can say

[tex]x + 2y + x + 2 = 2(x+y+1)[/tex]

And we can combine the two [tex]x[/tex]'s on the left side to make.

[tex]2x + 2y + 2 = 2(x+y +1)[/tex]

Now by expanding the right side we get

[tex]2x + 2y + 2 = 2x + 2y + 2[/tex]

which is the same thing so there are both equal!

Now lets test (B). We start off by doing the same thing as (A) except with the equation for (B)

[tex]2x + 2y + 2 = 2x + 4y + 4[/tex]

Now this doesn't look quite right, on the left side we have two [tex]y[/tex]'s but on the right we have four. This means our equation is unbalanced which means they are unequal! So it can't be (B)

So the only correct answer is (A)!

Hope this helps!

Please work out question number 12 with working and answer. I'm stuck help please.​

Answers

Answer:

£40

Step-by-step explanation:

Sum the parts of the ratio 5 + 1 = 6 parts

Divide £48 by 6 to find the value of one part of the ratio

£48 ÷ 6 = £8 ← value of 1 part of the ratio

Thus the larger part of the ratio is

5 × £8 = £40

One medium circle and one small circle touch each other, and each circle touches the larger circle.

Which is the area of the shaded region?
A.72 π square centimeters
B. 97 π square centimeters
C. 26 π square centimeters
D. 169 π square centimeters

Answers

Answer:

The area of shaded is 72π cm² ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is A = πr², where r is the radius of the circle

- The length of the radius of a circle is 1/2 the length of its diameter

- From the figure:

∵ There are two inscribed circles touch the larger circle internally

  and touch each other externally

∴ The centers of the three circles are collinear

∴ The diameter of the larger circle = the sum of the diameters of

   the two inscribed circles

∵ The radii of the inscribed circles are 4 cm and 9 cm

∵ The diameter = twice the radius

∴ The diameters of the inscribed circles are 2 × 4 = 8 cm and

  2 × 9 = 18 cm

∴ The diameter of the larger circle = 8 + 18 = 26 cm

∵ The radius of the circle = 1/2 diameter

∴ The radius of the larger circle = 1/2 × 26 = 13 cm

- The area of the shaded part is the difference between the

  area of the larger circle and the sum of the areas of the two

  inscribed circles

∵ A = πr²

∴ The area of the larger circle = π(13)² = 169π

∵ The sum of areas of the inscribed circles = π(4)² + π(9)²

∴ The sum of areas of 2 circles =16π + 81π = 97π

∵ Area of shaded = A larger circle - sum of A of 2 circles

∴ Area of shaded = 169π - 97π = 72π

* The area of shaded is 72π cm²

Final answer:

Without the radii of the three circles and their positions, we cannot calculate the exact area of the shaded region. Generally, the area of a circle is calculated using the formula A = πr².

Explanation:

Since the question doesn't provide specific measurements for the medium circle or the small circle, or their respective positions within the larger circle, it's not possible to determine the precise area of the shaded region. We would need at least the radii of the three circles and their relative positions to calculate the exact area of the shaded part.

However, in general, to find the area of a circle, we use the formula A = πr², where 'r' stands for radius.

If we had the respective radii, to calculate the shaded area, you would have to subtract the combined areas of the medium and small circles from the area of the larger circle.

Learn more about area of shaded region

https://brainly.com/question/27105717

#SPJ11

a teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles of
paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?​

Answers

If a teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She is buying 7 bottles of paint and  15 canvases.

What is number of items?

Let's represent the number of bottles of paint she buys as x and the number of canvases she buys as x + 8.

The cost of the paint would be:

Cost of paint = Number of bottles of paint * Price per bottle of paint = x * $1.29

The cost of the canvases would be:

Cost of canvases = Number of canvases * Price per canvas = (x + 8) * $1.89

The total cost is the sum of the costs of paint and canvases:

Total cost = Cost of paint + Cost of canvases

we can write the equation:

Total cost = x * $1.29 + (x + 8) * $1.89 = $37.38

solve for x:

1.29x + 1.89(x + 8) = 37.38

1.29x + 1.89x + 15.12 = 37.38

3.18x + 15.12 = 37.38

3.18x = 22.26

x = 22.26 / 3.18

x ≈ 7

Therefore , she is buying approximately 7 bottles of paint and 7 + 8 = 15 canvases.

Learn more about number of items here:https://brainly.com/question/27426075

#SPJ3

Is 2 * 17 5/6 greater than or less than 36? Explain

Answers

Final answer:

The multiplication of 2 by 17 5/6 results in 214/6, which is less than 36 when compared as fractions (since 36 is 216/6). Therefore, 2 * 17 5/6 is less than 36.

Explanation:

The student asked if 2 * 17 5/6 is greater than or less than 36. To solve this, first convert 17 5/6 to an improper fraction which is (17 * 6) + 5 = 107/6. Then multiply by 2 to get:

2 * (107/6) = 214/6

To compare it to 36, you can convert 36 into a fraction with the same denominator, which would be:

36 = 216/6

Now you can see clearly:

214/6 is less than 216/6 which means that 2 * 17 5/6 is less than 36.

So, 2 * 17 5/6 is not greater than 36; it's a bit smaller than 36.

3x+2A=2h solve for x

Answers

Answer:

x = (2/3)h - (2/3)A

Step-by-step explanation:

You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS. Solve:

First, subtract 2A from both sides:

3x + 2A = 2h

3x + 2A (-2A) = 2h (-2A)

3x = 2h (-2A)

3x = 2h - 2A

Isolate the variable, x. Divide 3 from both sides.

(3x)/3 = (2h - 2A)/3

x = (2h - 2A)/3

x = (2/3)h - (2/3)A is your answer.

~

Answer:

x=2h-2A/3

Step-by-step explanation:

it's done by making x the subject in the relation

maintain the 2h and move the 2A to the right side of the equation.making it 3x=2h-2Amaking x the subject by dividing through by 3x=2h-2A/3

PLEASE HELP

Identify the set of numbers that makes up the domain in the relation {(-1,0), (1,3), (-2,0), (0,4)}.

A. 0, 3, 4
B. -2, -1, 0, 1
C. -2, -1, 0, 1, 3, 4
D. 0

Answers

Answer:

B

Step-by-step explanation:

since the domain makes up the x values so the x values are -1,1,-2,and 0

Final answer:

The domain of the relation is {-1, 1, -2, 0}

Explanation:

The domain of a relation refers to the set of all possible input values. In this relation, the x-values or inputs are -1, 1, -2, and 0. Therefore, the set of numbers that make up the domain in this relation is {-1, 1, -2, 0}.

Learn more about Domain of a relation here:

https://brainly.com/question/1870288

#SPJ2

Enzo’s profit over the last few months has been falling. In December he made $900, in January his profit was $500, and in March, he lost $300. Is the sequence that represents his profit arithmetic? If it is, what is the recursive formula for the sequence?

Answers

Answer:

See explanation

Step-by-step explanation:

Enzo’s profit over the last few months:

In December, he made profit $900;In January, his his profit was $500; In February - unknown;In March, his loss was  $300.

Find the difference between given data

Dec - Jan [tex]\$900-\$500=\$400[/tex]

Jan - Feb [tex]\$500-\$x[/tex]

Feb - Mar [tex]\$x-(-\$300)=\$x+\$300[/tex]

If this sequence is arithmetic, then

[tex]\$500-\$x=\$x+\$300=\$400\\ \\\$x=\$100[/tex]

So, if the profit in February was $100, then this sequence is arithmetic sequence. In this case,

[tex]a_1=900\\ \\a_2=500\\ \\a_3=100\\ \\a_4=-300\\ \\...\\ \\d=-400[/tex]

The recursive formula is

[tex]a_n=a_{n-1}-400[/tex]

What is 19.2 * 10^8 minutes in hours? Written in scientific notation form?

Answers

answer should be 1.85 x 10^18

-65.376=7.2(9c+1) solve the equation

Answers

Answer:

c= -1.12

Step-by-step explanation:

What is the solution to 5x−2=13 ? Plot the solution on the number line.

Answers

Answer:

x= 3

Step-by-step explanation:

5x-2=13 - Add 2 to both sides which cancels out the -2 and turns 13 into 15

5x=15 - Divide 5 on both sides which cancels the 5 and leaves x=3

x=3 - Is the final answer or the solution to the problem

Final answer:

The solution to the equation 5x - 2 = 13 is x = 3. To plot this on the number line, mark a point above the horizontal line at the position corresponding to 3.

Explanation:

The solution to the equation 5x - 2 = 13 is found by first adding 2 to both sides of the equation, giving us 5x = 15. We then divide both sides by 5 to isolate x, which gives us x = 3. Therefore, the solution to the equation is x = 3.

To plot the solution on the number line, we draw a horizontal line and mark off points at equal distances. We locate the point corresponding to 3 and draw a dot or vertical line at that point, above the horizontal line because it is a positive number.

Solve for x. 2x-4/5 =x+4

Answers

Answer:

Your answer is 24/5 or 4.8

Step-by-step explanation:

Start with the given:

2x - 4/5 = x + 4

Use the Addition Property of Equality (add 4/5 to both sides)

2x = x + 4 + 4/5

Subtraction Property of Equality (subtract x from both sides)

2x - x = 4 + 4/5

Combine Like Terms on both sides

x = 24/5

(IF you need a decimal) Divide

x = 4.8

Hope this helps.

-Que

Other Questions
will get branliest!!!!!!! If the half-life of a radioisotope is 10,000 years, the amount remaining after 20,000 years isnonehalfa fourthdoubleanswer is c 2 PointsWhat causes Samuel's feelings to change from confusion and fear to angerand hate at the end of "Samuel's Memory"?A. White settlers throw rocks at him and his family.OB. His father escapes and leaves the family behindOC. His mother dies and he feels that he is all alone.OD. The soldiers separate him from his mother. Energy absorbed or released as heat in a chemical or physical change is measured by a(n) a. thermometer. b. scale. 26. c. incubator. d. calorimeter solve 3x^2=-12-6x by completing the square Beryllium (Be): 1s 2sC=D= Which is the best definition for empire ? A. An area where independent states join together for the purpose of trade but retain self rule B. An area or political unit in which formerly independent states are under the control of one ruler C. A region where a people have developed certain characteristics, such as government and trade D. A government in which a single ruler makes and enforces the law of the land ( sorry these are long I need any help at this point) One way to heat a gas is to compress it. A gas at 3.0 atm at 27C is compressed to three tenths of its original volume, and it reaches 35 atm pressure. What is its new temperature? to help you sleep, you should thy to start unwinding___ minutes before you go to bed Kaira's company recently switched to a new calendaring system provided by a vendor. Kaira and other users connect to the system, hosted at the vendor's site, using a webbrowser. Which service delivery model is Kaira's company using? Which organism is most likely 10 centimeters in size?A. treeB. antC. bacteriaD. lizard An urn contains 10 balls: 7 red and 3 blue. A second urn contains 25 red balls and an unknown number of blue balls. A single ball is drawn at random from each urn. The probability that the balls are the same color is ________ The Python MySQL Connector library:(a) come pre-installed with Linux(b) comes pre-installed with the installation of MySQL8.(c) comes pre-installed with the installation of Python3.(d) must be downloaded and installed as a separate package. Stephanie is riding her bicycle to the park. The chemical energy used to pedal the bicycle is transformed into __________. As people become more concentrated in cities, some pressure on eco-systems in areas that are now less populated eases. Why do you think this is the case Which of the following is NOT a characteristic of historical fiction?A.descriptions of historical eventsB.dramatized versions of actual characters from historyC.realistic depictions of historical settings and culturesD.language that is difficult for contemporary readers to understand Two genes for the same trait are compared. Which one is not an example of a mutation?In the first, the series is adenine followed by two thymine; in the second, adenine is followed by two thymine.In the first, the series is cytosine - adenine - thymine; in the second, it is cytosine - adenine - adenine.The first has thymine where the second has a guanine.The first has a series of three nucleotide bases; the other has a series of four. A sprinter runs 50m. You are given a stopwatch. Describe how you would measure: 1. the average speed of the sprinter over the entire 50m2. the instantaneous speed of the sprinter when he crosses the finish line Nikola Tesla and Thomas Edison were both pioneers when it came providing electricity to the people. Edison had hired the genius Tesla to work or him, but their dierences, pride, and personalities caused them to compete and publicly insult one another instead o working together. List 5 strategies these two could have used to help them work with others they disagree with. Marginal costs exist because: A. the decision to engage in one activity means forgoing some other activity. B. wants are scarce relative to resources. C. households and businesses make rational decisions. D. most decisions do not involve sacrifices or tradeoffs. Review