which is true about parallel lines? they always intersect at the origin. they have equal slopes. they meet at a angle. the product of their slopes is always 0.

Answers

Answer 1

Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.


Related Questions

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

If the blue pre-image was transformed to create the green image, what transformation occured?

Answers

the correct answer would be c! a rotation 90 degrees counterclockwise

have a great day! :)

Soup is 3 cans for $1.70 so each can of soup is $0.5667. how much does it cost for one can?
One can is $|___|

Answers

If the cost of 3 cans is $1.70 then the cost of one can will be $0.5667.

Given that the cost of 3 cans is $1.70.

We are required to find the cost of 1 can.

Cost is the amount of expenditure that we spend on purchase or manufacture a product.

Cost of 3 cans=$1.70

To find the cost of 1 can ,we have to find the average costs which is total costs divided by number of cans.

Cost of 1 can=1.70/3

=$0.566666

=$0.5667

Hence if the cost of 3 cans is $1.70 then the cost of one can will be $0.5667.

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Find the 74th term of the arithmetic sequence -8, 0, 8, ...

Answers

THE FIRST TERM( a) IS -8 AND THE DIFFERENCE IS

[tex]d = 0 - ( - 8) \\ d = 8[/tex]

THE LOGIC OF ARITHMETIC SEQUENCE FOR THE 74th term is

[tex]t(74) = a + 73d \\ = - 8 + 73(8) \\ = - 8 + 584 \\ = 576[/tex]

The 74th term is 576

ATTACHED IS THE SOLUTION

At the beginning of the day the stock market
goes down 70 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up
110 1/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the​ day?

Answers

Answer: Lets say the stock (before it goes down 70 1/2 points) is worth 100 points after dropping 70 1/2 points it would be at 29 1/2 points then it would go up 110 1/4 points bringing it to 139 3/4 so the total change would be 39.75 or 39 3/4

Step-by-step explanation:

Liam has 45 pencils Sophia has 25 pencils and micheal has 85. Use the GCF and the distributive property to find the total number of pencil Liam Sophia and micheal have

Answers

45+25+85=155 pencils

What would you use for the
least common denominator?
Simplify each first.

Help please

Answers

The least common denominator is  [tex]$&\frac{2}{3 b q}[/tex].

The smallest number that is precisely divisible by each denominator of a group of fractions is known as the lowest common denominator.

What is meant by least common denominator?

The lowest common multiple of the denominators of a group of fractions is known as the lowest common denominator, or LCD, in mathematics. It makes adding, taking away, and comparing fractions easier.

When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.

The smallest number that is precisely divisible by each denominator of a group of fractions is known as the lowest common denominator. It is occasionally referred to as the lowest common denominator.

a) [tex]$\frac{2 q}{3 b q^2}$$[/tex]

Apply exponent rule:

[tex]$\frac{x^a}{x^b}=\frac{1}{x^{b-a}}$[/tex]

substitute the values in the above equation, we get

[tex]$&\frac{q^1}{q^2}=\frac{1}{q^{2-1}} \\[/tex]

simplifying the above equation, we get

[tex]$&=\frac{2}{3 b q^{2-1}}[/tex]

Subtract the numbers,

[tex]$=\frac{2}{3 b q^1}$$[/tex]

Apply exponent rule:

[tex]$&q^1=q \\[/tex]

[tex]$&=\frac{2}{3 b q}[/tex]

b) [tex]$\frac{3 b^2}{7 b^4 q}$$[/tex]

Apply exponent rule, we get

[tex]$\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}$[/tex]

substitute the values in the above equation, we get

[tex]$&\frac{b^2}{b^4}=\frac{1}{b^{4-2}} \\[/tex]

[tex]$&=\frac{3}{7 b^{4-2} q}[/tex]

Subtract the numbers:

[tex]$=\frac{3}{7 b^2 q}$$[/tex]

[tex]$\frac{4 q^2}{8 b^2 q^5}$$[/tex]

Factor the number:

[tex]$=\frac{4 q^2}{4 \cdot 2 b^2 q^5}$$[/tex]

Cancel the common factor,

[tex]$=\frac{q^2}{2 b^2 q^5}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{q^2}{q^5}: \frac{1}{q^3}$[/tex]

[tex]$=\frac{1}{2 b^2 q^3}$$[/tex]

Therefore, the correct answer is option a) [tex]$&\frac{2}{3 b q}[/tex].

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For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric temperature can be described by the formula t = −0.0035a + g, in which t is the atmospheric temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is measured, and g is the ground temperature in degrees Fahrenheit. Determine the altitude in feet when t is −14.6 °F and g is 40 °F.

The altitude will be ____ feet.

Answers

The altitude in feet when t is −14.6 °F and g is 40 °F is -15600 feet.

What is altitude?

Altitude or height is a distance measurement between a reference datum and a point or object, usually in the vertical or "up" direction. The precise definition and reference datum vary depending on the circumstance.

Like height, altitude is the distance above sea level. Areas are sometimes referred to as "high-altitude" if they extend at least 2,400 meters (8,000 feet) into the atmosphere. Mount Everest, located in the Himalayan mountain range on the boundary of Nepal and the Chinese territory of Tibet, is the highest point on Earth.

From the information, the temperature can be described by the formula t = −0.0035a + g.

The altitude in feet when t is −14.6 °F and g is 40 °F will be:

t = −0.0035a + g.

t = atmospheric temperature

a = altitude

g = ground temperature in degrees Fahrenheit

This will be illustrated as:

-14.6 = 0.0035a + 40

Collect like terms

0.0035a = -14.6 - 40

0.0035a = -54.6

Divide

a = -54.6 / 0.0035

a = -15600 feet

The altitude is -15600 feet.

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7. The Fahrenheit temperature of a cup of coffee, F, starts at a temperature of 185°F. It cools down according
to the exponential function F(m)=113 (1) +72, where m is the number minutes it has been cooling. How do you interpret the statement that F(60) = 86 ?

Answers

For m =60 minutes The Fahrenheit temperature of a cup of coffee is approximately equals to 86°F.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

It is given that :

The Fahrenheit temperature of a cup of coffee cools down according

to the exponential function :

F(m) = 113 (¹/₂)^(m/20) + 72

where , m = number of minutes it has been cooling.

Now, for m = 60 minutes :

F(m) = 113 (¹/₂)^(m/20) + 72

F(60) = 113 (¹/₂)^(60/20) + 72

F(60) = 113 (¹/₂)³ + 72

F(m) = 113 /8 + 72

F(m) = 14.125+ 72

F(m) = 86.125°F

Therefore, For m =60 minutes The Fahrenheit temperature of a cup of coffee is approximately equals to 86°F.

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Please help me solve this Pythageoem Therom for 20 points

Answers

Step-by-step explanation:

you always use the x axis first, then the y axis, after tgat it is mostly explainable.

21/22 divided by 1/2

Answers

Given the following expression:

[tex]\frac{21}{22}\text{ }\div\text{ }\frac{1}{2}[/tex]

Recall: In dividing fractions, you convert the equation into multiplication and multiply the dividend by the reciprocal of the divisor.

We get,

[tex]\frac{21}{22}\text{ }\div\text{ }\frac{1}{2}\text{ = }\frac{21}{22}\text{ }x\text{ }\frac{2}{1}\text{ = }\frac{42}{22}[/tex][tex]undefined[/tex]

the agganis arena at boston university is a popular venu for sports concerts and icer events. this arena can accommodate thousands of people. we are going to work with certain information and estimate the amounts of different situations


1. Assume that each section had the same amount of seats. If Approximately 308 people could fill each section how many people would be present at a sold out game?


2. One Particular Hockey Game could only sold out the rectangular and square sections. How many people were present at this game?


3. The Agganus hockey rink measures 200 ft by 90ft. Could the crowd at a sold out game fit on the rink standing concert style (Assume that 1 person occupies 2.5ft of space)

Answers

Answer:

See below

Step-by-step explanation:

Part 1

There are 20 sections and each section can fit 308 people.

Number of people would be present at a sold out game:

308*20 = 6160

Part 2

Count the number of rectangular and square sections, it is 8.

Number of people were present at hockey game:

308*8 = 2464

Part 3

The area of hockey rink:

200*90 = 18000 ft²

Number of people the rink can accommodate:

18000/2.5 = 7200

This number is greater than the crowd at a sold out game:

7200 > 6160

So the answer is Yes.

what is 8 ×(1/10) +7x (1/100) +1x (1/1.000) written in standard form?

Answers

[tex]8\times\frac{1}{10}+7\times\frac{1}{100}+1\times\frac{1}{1.000}=[/tex]

Using BODMAS

[tex]\begin{gathered} 8\times\frac{1}{10}+7\times\frac{1}{100}+1\times\frac{1}{1.000} \\ \frac{8}{10}+\frac{7}{100}+\frac{1}{1.000} \\ \frac{187}{100}=1.87 \end{gathered}[/tex]

From the calculations above, the standard form is 1.87

Which problem could be solved with the expression
5 ×(2+4) ; 6?
Choose 1 answer:
A
Khai, the dog, ate 2 bones on Monday, 4 bones on
Tuesday and 6 bones on Wednesday. On Thursday,
she ate 5 times more bones than the other days
combined. How many bones did Khai eat on
Thursday?
Hayden made 2 bracelets before school and 4 after
school each day for 5 days. Then he split the
bracelets into 6 equal groups. How many bracelets
did Hayden have in each group?
Shadi is building a new back deck. He puts 2 nails
and 4 screws in each board. He did this to 5 boards.
How many total screws and nails did he use?

Answers

The given expression '5 × (2 + 4) = 6' can solve the problem (C).

What are expressions?You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.

So, 5 × (2 + 4) = 6:

(A) To solve the situation (A), the expression will be:

5(2+4+6)

(B) To solve situation (B), the expression will be:

[5(2 + 4)]/6

(C) To solve the situation (C), the expression will be:

5 × (2 + 4) = 6

Therefore, the given expression '5 × (2 + 4) = 6' can solve the problem (C).

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The correct question is given below;
Which problem could be solved with the expression

5 × (2 + 4) = 6?

Choose 1 answer:

A. Khai, the dog, ate 2 bones on Monday, 4 bones on Tuesday, and 6 bones on Wednesday. On Thursday, she ate 5 times more bones than the other days combined. How many bones did Khai eat on Thursday?

B. Hayden made 2 bracelets before school and 4 after school each day for 5 days. Then he split the bracelets into 6 equal groups. How many bracelets did Hayden have in each group?

C. Shadi is building a new back deck. He puts 2 nails and 4 screws in each board. He did this to 5 boards. How many total screws and nails did he use?

Answer: C. Hayden made 2 bracelets before school and 4 after

school each day for 5 days. Then he split the

bracelets into 6 equal groups. How many bracelets

did Hayden have in each group?

Step-by-step explanation:

Are these equations equivalent? 4x-12y=16 and 2x-6y=8

Answers

Answer: yes

Step-by-step explanation:

the 2nd can be reached by dividing it by 2

Answer:

Below.

Step-by-step explanation:

Yes, because if we divide the first one by 2 we get the second equation:

4x/2 - 12y/2 = 16/2

= 2x - 6y = 8

solve this math problem .

Answers

Answer:

B

Step-by-step explanation:

5x5=25

25+5=30

30+5=35

find the area of this circle

Answers

Answer:

12 square inches

Step-by-step explanation:

First, find the radius by dividing the given diameter by 2:

4 in / 2 = 2 in

Now, plug the radius value into the given formula «[tex]A=\pi r^2[/tex]»:

[tex]A = \pi (2 \, \mathrm{in})^2[/tex]

And substitute 3 for π:

[tex]A = 3 (2 \, \mathrm{in})^2[/tex]

[tex]A = 3 \times 4 \, \mathrm{in}^2[/tex]

[tex]A = 12 \, \mathrm{in}^2[/tex]

So, the area of the circle is approximately 12 square inches.

Describe the difference between the end behavior of quadratic and cubic graphs

Answers

The main difference between end behavior of a quadratic and cubic function is as x approaches the negative infinity quadratic function goes to positive infinity and cubic function goes to negative infinity

What is the end behavior of the function?

The end behavior of the function means how function behaves when x approaches to ±∞

In case of an quadratic function when we substitute  ±∞ the values approaches to positive infinity And in case of the cubic function the value approaches to negative infinity

This is the difference

Hence end behavior of a quadratic  is as x approaches the negative infinity quadratic function goes to positive infinity and in cubic function goes to negative infinity

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WHAT IS TAN X + COT X???
PLS SHOW STEPS I'LL GIVE BRAINLIEST!​

Answers

Answer:

Secx*cscx

Step-by-step explanation:

Recall: trig identities

Cotx= 1/Tanx

Tanx + Cotx -> Tanx + 1/Tanx

Get common denominators


Tanx*(tanx/tanx) + 1/Tanx ->

(tan^2 + 1)/Tanx


Recall: Trig identities

Tan^2x + 1 = Sec^2x -> Sec^2x /tanx

Recall: Trig identities
Tanx = sinx/cosx

secx = 1/cosx

secx*secx = Sec^2x


(1/cosx)*(1/cosx)/ sinx/cosx


simplify complex fraction


*(cosx)/(sinx)(cosx)*(cosx)^

^Note: (cosx)*(cosx) can also be writen as (cos^2x)


cancel terms


1/cosx*sinx


recall: trig identities

secx = 1/cosx
cscx = 1/sinx


Secx*cscx

Perform the operation and reduce the answer fully. Make sure to express your answer
as a simplified fraction.

Answers

Answer: 1/2, Decimal : 0.5

Step-by-step explanation:

Can you please answer ASAP

Answers

The answer is sum 5. Sum is a way to combine everything. The sum combines two or more numbers to produce a new total. In addition to "sum," other words that can be used in place of "sum" include "all together," "put together," "how many in all," and "total."

How to find the sum of numbers?An essential mathematical idea is addition. The outcome or conclusion we arrive at when we add two or more integers is known as the SUM. Addends are the numbers that are added.A method of combining everything is sum. The sum creates a new total by adding up two or more numbers. "All together," "put together," "how many in all," and "total" are additional terms that can be used in place of "sum."Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips.

 Hence the Sum is 5.

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Please, please, please, answer asap please I need this to be done now...thank you so, so, so much to whoever does. (50 points)

Answers

Here you go!
1. B
2. A
3. C
4. D

A rectangular sheet of paper is folded at the corner. Find the value of x.

Answers

Value of x is 66°.

Define angle.

Based on measurement, there are many kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.

Given Data

A rectangular sheet of paper is folded at the corner.

Right triangles characterize both the folded-over region and its void. In the bottom left corner, there is a right angle that is marked at 33 degrees. Thus,

180-(33+90)

= 180-123

= 57° is what is left.

The angles in the triangle that has been folded over are the same.

To the left of x, there are two angles that meet at a straight angle. The sum of all right angles is 180 degrees. The 57° measure is shared by the two angles that make up the straight angle with x. This results in:

180-(57+57)

= 180-114

= 66°

Value of x is 66°.

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Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

Answers

The same well-liked crackers are discounted at Value Grocery Mart and Market City are 5.25, 10.5,  15.75, and 21.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3×1.75=5.25

6×1.75=10.5

9×1.75=15.75

12×1.75=21

What are chart and tabular forms?

An example of a chart is one that uses symbols to depict the data, such as bars in a bar chart, columns in a line chart, or slices in a pie chart.  A chart can convey various information by representing tabular numerical data, functions, or certain types of quality structures.

Users can change numerous rows and columns in a table at once using a tabular form and a single page.

A chart displays data that can be shown as a table, graph, or diagram. There are different ways to convey vast amounts of information in it.

Here, the table is.

Number of Boxes of Crackers ║   Grocery Mart  ║    Market City:

                                                 

  3                                              ║       5                  ║  5.25

                                                 

 6                                                ║     10                   ║ 10.5

                                                 

 9                                                ║      15                   ║ 15.75

                                                 

 12                                              ║      20                    ║ 21

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36, 27,
81
4
Find the 10th term.

Answers

a_{10} = \frac{177147}{65536} is solution of arithmetic progression (AP).

What is arithmetic progression (AP)  in math?

The difference between any two consecutive numbers in an arithmetic progression (AP) is always a fixed amount.The AP cost per invoice is calculated by dividing the total number of invoices paid over a certain time period by all the expenditures incurred to pay those invoices over that same time period. An accurate assessment of a company's AP efficiency can be made using this metric in conjunction with other accounts payable measures.

Write the general term through the pattern [tex]a_{n} = 36( \frac{3}{4} )^{n-1}[/tex]

Substitute and calculate [tex]a_{10} = \frac{177147}{65536}[/tex]

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Please help answer this! write all names that apply to both numbers (integer,rational,irrational,real,whole)​

Answers

Answer:

8. integer, rational, real, whole

9. irrational, real

Use the properties of exponents to rewrite the expression. (m4n3)6

Answers

The expression (m⁴n³)⁶will be written as (m²⁴n¹⁸) using the power property.

The power of a power property states that when we take the power of a power, we keep the base and multiply the exponents. So, (xᵃ)ᵇ= x(ᵃ×ᵇ). This shows that we write down our base and just multiply the given exponents.

Suppose, we have this problem:

(x4)3

we could multiply the exponents of the given base. This would give us:

x(⁴׳) = x¹²

In the same manner  (m⁴n³)⁶ we will multiply the exponents of the given base.

So (m⁴×⁶n³×⁶) = (m²⁴n¹⁸).

Thus we can write The following expression (m⁴n³)⁶ as  (m²⁴n¹⁸).

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Answer:

One angle measures 120°, and another angle measures (4k + 52)°. If the angles are vertical angles, determine the value of k.

Step-by-step explanation:

EASY POINTS WILL GIVE BRAINLSIT TO BEST ASNWER
Arabella sells cars at local dealership and gets paided by comisson. She already made $750 and will countine to ear $250 per car that she sells. if her goal is so make $3000 by the end of the month, write an equation that models the months goal.

Answers

Answer: 3000=250x+750

Step-by-step explanation: In this equation, the 3000 is the amount she wants, so that is on the left; the 750 is added, because she doesn't get 750 every time she sells a car, it is static. the 250 is multiplied by x, where x is the number of cars she sells. for every car she sells, she earns $250. (to get the goal, she would need to sell 9 more cars, don't know if that's needed)

I agree with the top comment ^^^

(b) If the lines y = x + 1 and x + y = 7 intersect at C, find the coordinates of C.​

Answers

Answer:

C ( 3 , 4 )

Step-by-step explanation:

The amount of chicken the cafeteria uses is
directly proportional to the number of
servings of Southwest Chili it makes. If
20 kilograms of chicken makes 220 servings
of Southwest Chili, how many servings can
be made with 35 kilograms of chicken?

Answers

The answer is 385.

Solution:
Let the number of servings be x

20/220 x 35/x

20x = 7700 {cross multiplication}

X = 385

6) Stacey is making trail mix. She has ½ cups of raisins, ¼ cups of peanuts, and ½ cups
of m&ms.
A) When these ingredients are mixed together, how many cups of trail mix will she
have?
B) Stacey was to double the recipe. How much of each will she have?

Answers

A) When these ingredients are mixed together, Stacy will have  1 ¼ cups of trail mix.

B) if Stacy was to double the ingredients she will have 2 cups of raisins, ½ cups of peanuts and  2 cups of m&ms.

What is fraction?

fraction: A number in mathematics represented as a quotient, where the numerator and denominator are divided. In a fundamental fraction, both are integers. A complex fraction has a fraction in either the numerator or the denominator. The numerator of a proper fraction is less than the denominator.

Lets add all the ingredients

1/2 + 1/4 + 1/2

= (2+2+1)/4

= 5/4

= 1 ¼ cups

A) When these ingredients are mixed together, she will have  1 ¼ cups of trail mix.

B) If the recipe is doubled, that is

⇒ ½ cups of raisins × 2

= 2 cups of raisins

⇒ ¼ cups of peanuts × 2

= ½ cups of peanuts

⇒ ½ cups of m&ms × 2

= 2 cups of m&ms

Thus, if Stacy was to double the ingredients she will have 2 cups of raisins, ½ cups of peanuts and  2 cups of m&ms.

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demarcus suffered a concussion in his first lacrosse match, causing him to forget everything that happened prior to the match. he has ________ amnesia. A red star and a blue star both have the same radius and are at the same distance from the earth. How does their observed brightness compare?. in what way did native americans contribute economically to Spanish missions 1/8 x 240 please???? Hurry learning about your instructor's goals and temperament can help you determine how they prefer to communicate. what are some ways you can learn about the instructor's goals and temperament? Baby Arina's mom is depressed. According Bowlby, Arina is more likely to develop? A) an insecure attachment. B) a secure attachment. A line passes through the point (6, -6) and has a slope of 3/2.Write an equation in point-slope form for this line. you're so excited to attain your first teaching position. during new employee orientation, your pay scale suggests that annual salary is fixed, and will not increase until after the completion of the second year. what type of wage structure is this an example of? help me with this pleaseeee An item is regularly priced at $78. Martina bought it at a discount of 80% off the regular price.Use the ALEKS calculator to find how much Martina paid. question on inference method and test statistic - is there evidence that the mean amount of water drank daily by a teenager is more than 1.5 liters? data was collected from a sample of 56 teenagers. the best approach to provide an answer to the question would be: Based on the chart above, which of the following statements is false?A.Canada had a GDP per capita of $13,644 in 1973.B.The US had the second highest GDP per capita in 1973.C.Norway had the second highest GDP per capita in 2006.D.Switzerland had the highest GDP per capita in 2006.Please select the best answer from the choices providedABCD diseases tend to spread according to the exponential growth model and the early days of AIDS in the growth factor was around 1.9 in 1983 about 1,500 people in the US died of AIDS if this trend had continued unchecked how many people would have died from Aids in 2005 ______________ are factors needed to establish causality. Cellular respiration and fermentation are metabolic pathways that transfer the energy in glucose to ______________________. in a box of assorted cookies, 36% contain chocolate and 12% contain nuts. of those, 8% contain both chocolate and nuts. if a cookie is randomly picked, what is the probability that it does not contain chocolate or nuts. Jay met a potential customer yesterday and reached out to them through a social media platform today. However, Jays social media is not geared toward his business life. What might have been a more appropriate way to reach out? A. Business email B. Stop by their house C. Do nothing, as he had no reason to reach out D. Personal email A student increases the temperature of a 457 cm3 balloon from 270 K to 585 K.Assuming constant pressure, what should the new volume of the balloon be?Round your answer to one decimal place. help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeethank you QUESTION 1 [10]Look carefully at the electron micrographs in Figure 1.1.1. Describe the differences between the cell that died by (A) necrosis and the one that died by(B) apoptosis. (6)1.2. How do the pictures confirm the differences between the two processes? Explain your answer (4)Figure 1: Cell death by (A) Necrosis and (B) ApoptosisQUESTION 2 [15]2.1. Explain how the lac operon is both positively and negatively controlled. (2)2.2. A mutation within the promoter region can alter transcription of a gene. Describe how this canhappen. (3)2.3. Summarize the negative repressible feedback mechanism when operated by an operon. (5)2.4. Describe the process of repression in the trp operon. (5)QUESTION 3 [15]3.1. List and explain four (4) ways in which new genes can be generated from pre-existing genes. (8)3.2. Write a brief description of the three (3) main types of non-covalent bond. (3)3.3. Describe the two (2) main classes of membrane transport proteins. (4)QUESTION 4 [20]4.1. Draw the chemical structure of DNA including the complementary base pairs in the DNA doublehelix. (10)4.2. Describe how the complementarity of DNA provides the mechanism for heredity and how DNAacts as a template for its own duplication. (10)QUESTION 5 [20]5.1. In your own words, explain the principle of how gel electrophoresis of DNA separates themolecules according to size. (5)5.2. Discuss the cloning laboratory technique. (5)5.3. Explain the importance of polymerase chain reaction (PCR) during the DNA sequencingprocess. (10)QUESTION 6 [20]6.1. Discuss why gene regulation is important. (6)6.2. Describe how controlling gene expression will alter the overall protein levels in the cell. (6)6.3. List the differences in the regulation of gene expression of prokaryotic and eukaryoticorganisms.