QUESTION 10
What is the slope of a line that is parallel to the line
2y = 3x - 5

Answers

Answer 1

Answer:

Slope: 1.5

Step-by-step explanation:

We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.

Answer 2

Answer:

m = 3/2

Step-by-step explanation:

2y = 3x - 5

First find the slope of this line

Divide by 2

2y/2 = 3x/2 - 5/2

y = 3/2 x - 5/2

This is in slope intercept form  y= mx+b where m is the slope and b is the y intercept

The slope is 3/2

Parallel lines have the same slope

m = 3/2


Related Questions

Adam and three friends go on holiday together for a week.
The costs of the holiday will be shared equally between the 4 friends.
These are:
• £1460 for 4 return plane tickets
• £720 for the accommodation
• £180 for the car hire for a week
How much does Adam have to pay for his share of the costs?

Answers

Answer:

590

Step-by-step explanation:

1,460+720+180=2,360

2,360/4=590

HOPE THIS HELPS!!!! :)

it’s 590!!
If you add 1460,720,180, together and spilt it between the 4 friends each person has to pay 590.
In easier terms: 1460+720+180=2360/4

Sallie read an average of 1.5 books each week during the year. Part A: Write an equation that represents the amount of books that she read (y) per week (x). Part B: How many total books will Sallie read throughout the 52 week year?

Answers

Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78

If you're good at bearings pls help mee
What is the true bearing of Milton from Binji?

Answers

Answer:  024 degrees

The leading 0 is important with true bearings. Any true bearing must be three digits.

======================================================

Explanation:

It's not stated, but I'm assuming that Binji and Congo form a flat horizontal line.

B = Binji's location

M = Milton's location

C = Congo's location

The given angles are M = 76 and C = 38. The missing angle is

B = 180-M-C

B = 180-76-38

B = 66

Subtract this from 90 to get 90-66 = 24

The true bearing of Milton from Binji is 024 degrees

In other words, if you are at Binji's location, face directly north, and turn 24 degrees clockwise (turn to the right), then you'll be facing Milton's location.

-------------

Extra info:

In terms of compass notation, the true bearing of 024 degrees converts to N 24 E. This is the same as E 66 N, though convention usually has north used more often (since it's a common reference point with compasses).

N 24 E = start facing north, turn 24 degrees to the east

E 66 N = start facing east, turn 66 degrees to the north

WILL MARK BRAINIEST FOR FIRST ONE WITH ANSWER!
1. Come up with a statistical study where a measurement error is likely.

Describe the example.
Give at least one reason why the error is likely.
Determine a better method of measurement for the study.

2. Come up with a statistical study where the units of measure used were not appropriate for the situation.

Describe the example.
Explain why it was not appropriate.
Determine a more appropriate unit of measure for the study.

Answers

Answer:

1.Quantifying measurement error

2.Measurement Error (also called Observational Error) is the difference between a measured quantity and its true value. It includes random error (naturally occurring errors that are to be expected with any experiment) and systematic error (caused by a mis-calibrated instrument that affects all measurements)

3.statical unit

Step-by-step explanation:

Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same position, chosen at zero, and bike in straight opposite directions, what will the distance between them be after 45 minutes?

Answers

Answer:

45 minutes is 3/4 of an hour, so find 3/4 of 12.  

Divide 12 by 4 to get 1/4 of 12. That is 3.  

3/4 is 3 of those, so multiply it by 3 to get 9.

So, she will have biked 9 miles.  

Answer:

180 miles.

Step-by-step explanation:

First, we have to find out how far Claire is after 45 minutes:

12 x 45 = 540

Now, we need to find out how far Han is after 45 minutes:

8 x 45 = 360

Lastly, we need to subtract how far Claire went by how far Han went:

540 - 360 = 180

Final answer:

The distance between Claire and Han after 45 minutes will be 180 miles.

Hope this helped! Have a nice day!

Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 square units B. 16 square units C. 30 square units D. 40 square units

Answers

Answer:

12 square units.

Step-by-step explanation:

A little shop sells Christmas toys. The wholesale price for each toy in a consignment of 50 toys was $5.5. Half of this quantity was sold before Christmas for the sales price of $15 per piece. two-fifth of the remaining toys have been sold in the next six days for half of the sales price. Finally, the rest of toys have been sold after the New Year for one-third of the sales price. What was the profit the shop made on selling these toys?

Answers

Answer:

[tex]Profit = \$250[/tex]

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

Determine the profit after sales

First, we need to determine the total cost price;

[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]

[tex]Cost\ Price = 50 * \$5.5[/tex]

[tex]Cost\ Price = \$275[/tex]

First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]

[tex]Half\ of\ the\ toy = 25[/tex]

[tex]Sales = \$15 * 25[/tex]

[tex]Sales = \$375[/tex]

____________________________________________________

Two-fifth of the remaining was sold at half of the sales price

From the above calculation;

[tex]Remaining\ Toy = 50 - 25[/tex]

[tex]Remaining\ Toy = 25[/tex]

Calculating Two-fifth of the remaining:

[tex]\frac{2}{5} * 25[/tex]

[tex]= \frac{50}{5}[/tex]

[tex]= 10[/tex]

Calculating half of the sales price:

[tex]\frac{1}{2} * \$15[/tex]

[tex]\$7.5[/tex]

This means that 10 toys were sold for $7.5

[tex]Sales = 10 * \$7.5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

The remaining was sold at one-third of the sales price

From the above calculations (1 & 2);

[tex]Remaining\ Toy = 50 - 25 - 10[/tex]

[tex]Remaining\ Toy = 15[/tex]

Calculating one-third of the sales price:

[tex]\frac{1}{3} * \$15[/tex]

[tex]\$5[/tex]

This means that 15 toys were sold for $5

[tex]Sales = 15 * \$5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

Now the total sales can be calculated;

[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]

[tex]Total\ Sales = \$525[/tex]

[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]

[tex]Profit = \$525 -\$275[/tex]

[tex]Profit = \$250[/tex]

Which of the following shows one way to simplify *picture attached*

Answers

Answer:

C

Step-by-step explanation:

Took the test

The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

How to solve Algebra Summation?

We want to simplify the algebraic summation;

[∑⁴³_(n = 1)] (3 + 9n)

Now, due to the addition sign, we can simplify this as;

[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

The only option that corresponds to our answer is Option A and so is correct.

Read more about Algebra Summation at; https://brainly.com/question/542712

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A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?

Answers

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Johns made two 120 mile trips. He made his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours. What was his average rate, in miles per hour, for the second trip?

Answers

Answer:

120 miles:4 hours

Step-by-step explanation:

Johns made

two 120 mile trips

there are a total of 2 120 mile trips

his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours

9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)

What was his average rate, in miles per hour, for the second trip?

120 miles:4 hours  simplify to 30 miles:1 hour

Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip

HAVE A GOOD DAY

Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans.

Answers

Answer:

c but no step by step sorry

Answer: B and D

Step-by-step explanation:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.

Answers

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

What is the measure of a?

Answers

The answer is 129 because the opposite corners of a quadrilateral has to equal 180°

Answer:

a=129

Step-by-step explanation:

the angles are complementary which is is 180

51+a=180

a=180-51

a=129

Select the arithmatic sequence from the following:

Select one:
a.-2, 3, 5, 10, 18
b.- 2.0, 8, 13, 17
C. - 2, 3, 8, 15, 20
d. - 2, 3, 8, 13, 18

Answers

Answer:

d) -2, 3, 8, 13, 18

Step-by-step explanation:

d) is the only one that has the same change each time (+5)

Answer:

[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]

Step-by-step explanation:

[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]

The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?

Answers

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

There is a difference of 8 degrees Celsius.
-4-(-12)= 8


Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality.
8 and 13

Answers

Answer:  5 < x < 21

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

Answer:

Step-by-step explanation:

:)

Determine the quotient. Write your answer in scientific notation.
(8.4 * 10%) + (1.2 x 102)

Answers

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

0.84+122.4 i believe is the correct answer

help pls
с LG ZX
D ZH ZY
BB HWY
mm CZW=2)
DHE ZY
4. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
3. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
4
triangle congruence
5. State what additional information is required to
prove AUML = AKLM by SAS.
6. State what additional information is required to
prove AJHI AUSI by SAS.
M

Answers

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

Here and don’t be shy like the anxiety

What happens when the multiplicity of a real root is odd?

Answers

Answer:

A: the graph will cross the x-axis

Answer:

A: the graph will cross the x-axis

Step-by-step explanation:

HELP!!!! PLEASE! 10 POINTS Which function is graphed?

Answers

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

[tex]x[/tex]Answer:

The answer would be [tex]f(x)=2x-6[/tex]

Step-by-step explanation:

    The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].

    Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].  

    We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)

Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00

Answers

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Quadrilaterals L M N O and Q R S T are shown. Given that LMNO ≅ QRST, complete the statements. Side LM is congruent to side . Angle MNO is congruent to angle .

Answers

When you have two congruent figures, the vertices are listed in the same order. This means that

Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.

Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.

The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

What is congruent quadrilateral?

The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.

The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.

Given in the question that the quadrilateral LMNO and QRST are congruent.

LMNO ≅ QRST

As we know Congruent Parts of the congruent Figures are also congruent, we have;

side LM is congruent to side QR.

side MN is congruent to side RS.

side NO is congruent to side ST.

side OL is congruent to side TQ.

Similarly, for the corresponding angles of the quadrilaterals, we have;

angle ∠MNO is congruent to angle ∠RST.

angle ∠NOL is congruent to angle ∠STQ.

angle ∠OLM is congruent to angle ∠TQR.

angle ∠LMN is congruent to angle ∠QRS.

Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

Learn  more about Congruent quadrilateral

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Which inequality is represented by the graph

Answers

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

Is (3,1), (7,2) , (11,3) , (18,5) linear?

Answers

Answer:

It is not linear.

Step-by-step explanation:

If you plug in the coordinates into a graphing calculator, you'll see that after the point (7,2), the line starts to increase. A linear function on a graph is going to be a straight line, not increasing or decreasing. It's consistent. I hope this was helpful.  

(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.

Answers

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

Anyone know this need help please

Answers

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Which of the following equations demonstrate that the set of polynomials is
not closed under the certain operations?
IN
O A. Division: (x2-5x+3) =(x- 2) = x- 3+
X-2
B. Subtraction: 8x* + x*)-(-2x + x) = 5x
O C. Addition: (x2 + x) + (x + 1) = x2 + 2x+1
D. Multiplication: (x2 - 5x+3)(x-5)= x - 10x2 +28x - 15​

Answers

Answer:

A. Division: (x2-5x+3) =(x- 2) = x- 3+

X-2

Step-by-step explanation:

A. Division: (x2-5x+3) =(x- 2) = x- 3+  -3/X-2

This is not a polynomial since we have an x in the denominator

please help will make you brainliest,
make r the subject of m=n+[tex]\sqrt{h^{2} +r^{2}[/tex]

Answers

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             Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Take the root of both sides and solve.

[tex]r = \sqrt{( m - n + h ) ( m - n - h)} \\r = \sqrt{( m - n + h ) ( m - n - h)} \\[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Can someone help with this to! Thanks

Answers

Answer:

x=7

Step-by-step explanation:

15+14+14+11=54

75-54=21

21/3=7

Answer:

x = 7ft

Step-by-step explanation:

Turn it into an equation:

x + 15 + 14 + 14 + 2x + 11 = 75

3x + 54 = 75

3x = 21

x = 7ft

Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values. 3x^2 + kx - 8 Thanks anyone for help :)))

Answers

Answer: The answer is (-1/6, -k/6- 95/12)

Step-by-step explanation:

I copy and and pasted the question on to an online calculator because mathmatics is not my strongsuit.

The values of k for the quadratic equation 3x² +  kx -8 are (-∞, ∞).

Given Quadratic equation: 3x² +  kx -8.

The quadratic expression can be factored into two binomials if it has two real roots.

Discriminant

When b² - 4ac > 0, two real roots.

When b² - 4ac =  0, one real roots.

When b² - 4ac < 0, no real roots.

So, k² - 4(3)(-8) ≥ 0

k² + 96 ≥ 0

k² ≥ - 96

This is true for any value of k and k ∈ (- ∞, + ∞).

Therefore, the values of k are (-∞, ∞).

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Other Questions
In this excerpt from Emmuska Orczy's novel The Scarlet Pimpernel, which line best represents an element of historical fiction? PLZ HELP ME!!!!!!!!!!!!!!!! which of the folowing statements is true? a. employers value soft skills more than gradesb. employers equally value grades and soft skillsc. employers value grades more than soft skills What are the possible sentences in a criminal trial? Check all that apply. a fine community service jail time in all states jail time in some states death in all states death in some states The function h(t) = -4.9t + 19.6t is used to model the height of an object projected in the air where h(t) is the height (in meters) and t is the time (in seconds). What is the domain and range? Domain: The average age of 15 students is 16 years. If teachers age is included the average increasesby 1. Find teachers age the new Japanese constitution after world war II contained a clause that - promised that japan would remain allies with the U.S - prevented japan from having or using an army - required all citizens to vote in Japanese elections - stopped japan from making special trade agreements A "tariff" on imported products is an example of a trade barrier that is always preferred to the free trade, because it generates government revenues in addition to restricting the amounts of imports.A. TrueB. False For the presentation assessment you will record an audio of yourself speaking in Spanish in response to the following scenarioYou have been cast on a reality TV show airing in a Spanish-speaking country. The producer wants you to talk about your childhoodUse the table below to help you create your oral presentationRequirements describe yourself when you were Young and your favorite book song game and family tradition What type of molecule is represented by the model below? A molecule made up of four carbon rings with other atoms bonded to those rings. Fat Carbohydrate Steroid Protein Points earned on this question: 0 In what ways have foreigners misconceived African belief systems and what meaningful rebuttals do students of General African Studies have in defence? If the quadratic formula is used to solve 2x^2 - 3x - 1 = 0, what are the solutions? Why is oceanic crust subducted under continental crust?A. Oceanic crust is moving faster than continental crust.B. Oceanic crust is denser than continental crust.C. Oceanic crust is less dense than continental crust.D. Oceanic crust is older than continental crust. There are 30 students in a class. 10 students have a pet dog, 13 students have a pet cat, and 7 students have a pet fish. 4 students have both a pet dog and a pet cat, 6 students have a pet cat and a pet fish, 2 students have a pet dog and a pet fish. 1 student has all three. How many of the 30 students have pets? How many games are played in a 4 team round robin tournament? (Each teamplays every other team only once.) Mutations in region B and region D give the same results - when either of these regions is mutated, the operon is expressed under all conditions (called constitutive expression). You hypothesize that region B is the operator region and that Region D is the repressor protein. To test your hypothesis, you create two partial diploid lines by introducing a F' plasmid with a wild-type lac operon: Strain 1: F' A B C D E / A B- C D E Strain 2: F' A B C D E / A B C D- E What experimental results would be predicted by your hypothesis Which egg floated higher? Why do you think that happened? What is the equation of a circle with center (0, 5) and radius 8 Why did Britain change its strategy to focus on the Southern colonies in the summer of 1778? Agrid shows the positions of a subway stop and your house. Thesubway stop is located at (-7,8) and your house is located at (6,4).What is the distance, to the nearest unit, between your house andthe subway stop?