PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?

PLEASE HELP!! What Is The Equation Of A Line That Is Perpendicular To Y = 2x + 4 And Passes Through The

Answers

Answer 1

Answer:

The answer is B)

[tex]y = - \frac{1}{2}x + 8[/tex]

PLEASE HELP!! What Is The Equation Of A Line That Is Perpendicular To Y = 2x + 4 And Passes Through The
Answer 2

Answer:

B.  y = -[tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]

[tex]m_{l2} * 2 = -1[/tex]

[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]

Taking another point xy on line l2;

[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]

Cross multiplying this gives;

y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!


Related Questions

ASAP i need to know the complete working​

Answers

Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

Nijah has 45 stickers.
She gives 2/5 to her sister.
She gives 1/3 of her remaining stickers to Brett.

How many stickers does Nijah have left?

Answers

Answer:

Nijah has 6 stickers left.

Step-by-step explanation:

Starting stickers:

45

2/5 are given away:

[tex]\frac{2}{5}[/tex] * 45

[tex]\frac{2}{5}[/tex] * [tex]\frac{45}{1}[/tex]

[tex]\frac{90}{5}[/tex]

18

1/3 of the remaining are given away:

[tex]\frac{1}{3}[/tex] * 18

[tex]\frac{1}{3}[/tex] * [tex]\frac{18}{1}[/tex]

[tex]\frac{18}{3}[/tex]

6

Nijah has 6 stickers left.

Answer:

18

Step-by-step explanation:

Find the part she gave to her sister

45 *2/5 = 18

The part remaining is

45 - 18 = 27

She gives 1/3 to Brett

27 * 1/3 = 9

She has 27 - 9 = 18

She has 18 remaining

Evaluate 6 · 3 ÷ √9 - 1. plz help, will mark brainliest A. 2 B. 3 C. 5 D. 6

Answers

Answer: C. 5

Step-by-step explanation:

[tex]6 \cdot3\div \sqrt{9}-1[/tex]

[tex]6 \cdot 3=18[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]18\div \:3-1[/tex]

[tex]18\div \:3=6[/tex]

[tex]6-1[/tex]

[tex]=5\\[/tex]

The value is 16.

What is square root?

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3^2. Here, the exponent is 2, and we call it a square.

We can use four methods to find the square root of numbers and those methods are as follows:

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Given:

6 · 3 ÷ √9 - 1

6*3 = 18

√9 - 1 = 3-1 = 2

So,

6 · 3 ÷ √9 - 1

=18- 2

=16

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Beverly made a deposit of 375 into our checking account. Then she
withdraw $65. The next day, she wrote a check for $135. She had 475 before any of these transactions how much money is in her account now?

Answers

Answer:

650

Step-by-step explanation:

475+375-65-135=650

Solve for xxx. 12x+7 4012x+7 40

Answers

Answer:

[tex]x = 2.75[/tex]

Step-by-step explanation:

I'm assuming you have an equation

[tex]12x + 7 = 40\\[/tex]

and you want to solve for x.

This is easy. First, subtract 7 from each side of the equation.

[tex]12x+7-7 = 40-7[/tex]

[tex]12x = 33[/tex]

Then divide both sides by 12, to get x alone on the left side.

[tex]\frac{12x}{12} = \frac{33}{12}[/tex]

[tex]x = \frac{33}{12} = 2.75[/tex]

if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)

Answers

Answer: 700.70 dollars

Work Shown:

1 square yard = 15.40 dollars

45.5*1 square yard = 45.5*15.40 dollars

45.5 square yards = 700.70 dollars

In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.

Talia spent \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 ​ start fraction, 5, divided by, 6, end fraction was spent on gummy bears.

Answers

Answer:

15/24

Step-by-step explanation:

Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.

What fraction of this week's allowance did Talia spend on gummy bears?

Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.

Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.

This means  that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.

A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.

Answers

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56

Answers

Answer:

[tex]\large \boxed{\sf B. \ 34}[/tex]

Step-by-step explanation:

[tex]5(14 - 2^3 ) +8 \div 2[/tex]

[tex]\sf Solve \ brackets.[/tex]

[tex]2^3 =8[/tex]

[tex]5(14 - 8 ) +8 \div 2[/tex]

[tex]14-8=6[/tex]

[tex]5(6 ) +8 \div 2[/tex]

[tex]\sf Multiply \ and \ divide.[/tex]

[tex]5(6)=30[/tex]

[tex]8 \div 2 = 4[/tex]

[tex]30 +4[/tex]

[tex]\sf Add.[/tex]

[tex]34[/tex]

Answer: 34

Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.

It really is worth the extra time it takes to write out every step.

P  E  M  D  A  S

Parenthses

Exponents

Multiplication/Division

Addition/Subtraction

In this problem, simplify (14 - 2³) first

because it's located inside the parenthses.

2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.

14 - 8 is 6 so we have 5(6) + 8 ÷ 2.

Now multiplication and division are based on order of appearance.

Since multiplication comes first, we do it first.

5(6) is 30 so we have 30 + 8 ÷ 2.

Now we can do the division.

8 ÷ 2 is 4 and we have 30 + 4 which is 34.

Combine like terms to create an equivalent expression. -3.6-1.9t+1.2+5.1t

Answers

Answer:

3.2t-2.4

Step-by-step explanation:

[tex]\\-3.6-1.9t+1.2+5.1t\\\mathrm{Group\:like\:terms}\\\\=-1.9t+5.1t-3.6+1.2\\\\\mathrm{Add\:similar\:elements:}\:-1.9t+5.1t=3.2t\\\\=3.2t-3.6+1.2\\\\=3.2t-2.4[/tex]

Answer:

3.2t -2.4

Step-by-step explanation:

-3.6-1.9t+1.2+5.1t

Like by terms = -1.9t+5.1t  - 3.6 +1.2

Solve left to right step 1 = 3.2t  - 3.6 +1.2

Solve step 2  = 3.2t - 2.4

Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]

Answers

Answer:

The answer is

[tex] \frac{3c}{4e}[/tex]

Step-by-step explanation:

[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]

To solve the fraction reduce the fraction with d

That's we have

[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]

For e

[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]

Substituting them into the expression we have

[tex] \frac{9c}{12e} [/tex]

Reduce the fraction by 3

We have the final answer as

[tex] \frac{3c}{4e} [/tex]

Hope this helps you

Simplify the expression. (5x2 - x - 7) + (2x2 + 3x + 4)

Answers

Answer:11+2x

Step-by-step explanation:

(10-7-x)+(4+4+3x)

3-x+8+3x

3+8+3x-x

11+2x

SUPER URGENT HELP NEEDED! BRAINLIEST AVAILABLE!

HELP IN NEED THESE ANSWERED ASAP! WILL GIVE BRAINLIEST TO THE PERSON WHO CAN ANSWER THESE QUICKEST AND I NEED ANSWERS TO ALL 4, BUT DON'T NEED ANY WORKING OUT, BUT IF YOU WANT TO YOU CAN! ALSO IF YOU ONLY KNOW THE ANSWER TO 1 OR 2 OF THEM, JUST SEND THAT, AND I WILL STILL GIVE YOU BRAINLIEST!

Answers

Answer:

1B)[tex] 11[/tex]

1C)$ 5104$

1D) $A=3 B=-51$

1E) [tex] \frac{1}{8}[/tex]

Step-by-step explanation:

The above answer!

solve: a X (b + c); a = -3/2 , b = -2 , c = 11/3 .

Answers

Answer:

-2  1/2

Step-by-step explanation:

a * (b + c);

Let  a = -3/2 , b = -2 , c = 11/3 .

-3/2 ( -2 + 11/3)

Get a common denominator

-3/2( -2 *3/3 + 11/3)

-3/2 ( -6/3 +11/3)

-3/2 ( 5/3)

-15/6

-5/2

Changing to a mixed number

-2  1/2

is this right? someone please check?

Answers

Answer:

The answer looks correct.

Step-by-step explanation:

All the other option doesn't match the above question's statement.

The last answer is the correct (in my opinion)

Answer:

Absolutely Correct

Step-by-step explanation:

Based on the definition of midpoint;

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

meaning the distance from the midpoint to one end is the same as the distance to the other end

In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is drawn (at random) from ten red balls numbered from $11$ to $20$. When you buy a ticket, you choose three numbers from $1$ to $10,$ and one number from $11$ to $20$. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?

Answers

nCr(20, 2) = 190 ways of selecting 2 from 20

nCr(10, 1)    =   10 ways of selecting 1 from 10

To find the over all probability of winning,

Calculate the Harmonic Mean (19) and divide by 2

Equivalent to

1/ (1//190 + 1/10) =9.5

So the probability is 1/9.5 = 2/19.

Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.

Answers

Answer:

26.5 liters

Step-by-step explanation:

We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78  by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.

show that (2x+3)^3 = 8x^3+36x^2+54x+27 for all values of x

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(2x + 3)³

= (2x + 3)(2x + 3)(2x + 3) ← expand the last 2 factors using FOIL

= (2x + 3)( 4x² + 12x + 9)

= 2x(4x² + 12x + 9) + 3(4x² + 12x + 9) ← distribute parenthesis

= 8x³ + 24x² + 18x + 12x² + 36x + 27 ← collect like terms

= 8x³ + 36x² + 54x + 27

A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent.

Answers

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

PlZ HELP NOW ASAP!!!

Answers

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

Which of the following lists of three numbers could form the side lengths of a triangle? [tex]A. $10, 20, 30$B. $122, 257, 137$C. $8.6, 12.2, 2.7$D. $\frac{1}{2}, \frac{1}{5}, \frac{1}{6}$[/tex]

Answers

Answer:

B. 122, 257, 137

Step-by-step explanation:

The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A

Testing for the options:

1) 10, 20, 30

10 + 20 (= 30) is not greater than 30. It cannot form a triangle

2) 122, 257, 137

122 + 137 (259) is greater than 257. It can form a triangle

3) 8.6, 12.2, 2.7

8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle

4) 1/2, 1/5, 1/6

1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle

an inch worm is how long in general

Answers

Answer:

A inch

Step-by-step explanation:

what is the slope for 3y and 5x on a graph?

Answers

y=−53xUsing the slope-intercept form, the slope is −53.m=−53

Make the biggest possible number using the digits below only once 4 , 5 , 5 answer

Answers

Answer:

554

Step-by-step explanation:

The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.

HELLP BRAINLIEST!!! Could someone clarify something for me?? What is the expression that represents the area of the rectangle? Do i solve this or do i just find the expression? Also could you help me solve the problem below?

Answers

Answer:

See below.

Step-by-step explanation:

The question doesn't ask you to find the area, it just ask for the expression that represents the area.

The area of rectangle is A=bh, where b and h are each of the side lengths.

Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:

[tex](2x+7)(5x+9)[/tex]

To find the degree and classification, expand the factors:

[tex]=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63[/tex]

Thus, this is a second degree quadratic expression

And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.

.

Answer:

see below

Step-by-step explanation:

Part A

(2x+7) ( 5x+9)

Foil

first 2x*5x = 10x^2

outer: 2x*9 = 18x

inner: 7*5x= 35x

last: 7*9 = 63

Add together

10x^2 +18x+35x+63

10x^2+53x+63

Part B

This is a second degree polynomial called a quadratic

Part C

When we multiply two polynomials together, we get another polynomial.  This is the closure property for multiplication of polynomials

Solve for x: 3x-4=2x-10

Answers

Answer:

x = - 6

Step-by-step explanation:

3x - 4 = 2x - 10

3x -2x = 4 - 10

x = - 6

For the equation 3x-4=2x-10, the value of x is -6.

The given equation is 3x-4=2x-10.

x is the variable in the equation.

Plus and minus are operators.

To solve for x, subtract 2x from both sides:

3x-2x-4=2x-2x-10

x-4=-10

Add 4 on both sides:

x=-10+4

x=-6

Hence, the value of x is -6.

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a table was sold at 20%loss but had it sold for RS 160 more these would have been a profit 20%. find cp​

Answers

Answer:

Rs 400

Step-by-step explanation:

Let us assume that the cost price of the article = x

Selling price = S.P

Cost price = C.P

Loss = %Loss × C.P(percentage loss × Cost Price)

S.P = C.P - Loss

In the question, Loss = 20%

S.P = x - 20x/100

Find the Lowest Common Multiple

S.P= 100x - 20x/100

S.P = 80x/100.........Equation 1

In the question, we are told if the article was sold for RS 160 more, it would have made a profit of 20%

Profit = %profit × C.P(percentage profit × Cost Price)

S.P = C.P + Profit

In the question, profit = 20%

S.P = x + 20x/100

Find the Lowest Common Multiple

S.P= 100x + 20x/100

S.P = 120x/100.........Equation 2

Hence,

Equation 2 - Equation 1 = Rs 160

= 120x/100 - 80x/100 = 160

= 40x/100 = 160

Cross multiply

40x = 100 × 160

40x = 16000

x = 16000/40

x = Rs 400

Since x = Cost price, the cost price of the table = Rs 400

Pattern A starts at 20 and has the rule 'subtract 2 Pattern B starts at 20 and has
the rule 'subtract I". Which shows the first several terms of Patterns A and B?
Pattern A: 20, 17, 15, 13, 11,
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 21, 22, 23, 24, 25
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 22, 24, 26, 28, 30
Pattern B: 20, 21, 22, 23, 24, 25

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Pattern A starts at 20 and has the rule 'subtract 2'.Pattern B starts at 20 and has  the rule 'subtract 1'.

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

pls i want help in this sum​

Answers

Step-by-step explanation: The first rectangle to the right is 24 because 10+14 equals 24. The rectangle to the left is 19 because 10+9 equals 19. Finally the rectangle on the bottom is 23 because 14+9 is 23

Solve for h. 3/7=h/14-2/7

Answers

Answer:

h = 10

Step-by-step explanation:

Given

[tex]\frac{3}{7}[/tex] = [tex]\frac{h}{14}[/tex] - [tex]\frac{2}{7}[/tex]

Multiply through by 14 to clear the fractions

6 = h - 4 ( add 4 to both sides )

10 = h

Answer:

10

Step-by-step explanation:

We start out with 3/7 = h/14 - 2/7

add 2/7 to both sides:

(5/7) = h/14

Multiply both sides by 14 to get rid of the fraction:

h = 10

Other Questions
progressives failed in the area of fighting: A. Discrimination B. Political Machines C. Workplace hazards D none of these choices are correct A will states that 4/5 of estate is to be divided among relatives. Of the remaining estate1/4 goes to the American cancer society. What fraction of the estate goes to the American cancer Society Explain how the contributions of Ivan Pavlov, John B. watson, and B.F. skinner redefined psychology under the banner of observable behavior? After setting up the width of the compass using the original line segment, why is it important to keep the compass the samewidth before drawing an arc? (1 point)If the width of the compass changed, it would make the arc smaller or larger. This would then make the line segment to be drawnsmaller or larger, so it would not match the original.of the width of the compass changed, it would make the arc smaller or larger. This would change the angle the new line segment isdrawn at, so it would not match the original.O if the width of the compass changed, it would be possible for the arc to intersect the original line segment, which is not allowed.The width of the compass does not matter. All that matters is that a straightedge is used to draw the line segment When titrating a strong acid with a strong base, after the equivalence point is reached, the pH will be determined exclusively by: Select the correct answer below: A) hydronium concentration B) hydroxide concentration C) conjugate base concentration D) conjugate acid concentration A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?A. 4,238,000,000B. 6,561,000,000C. 243,000,000D. 2,187,000,000 worried about small sentence what is the answer to x2 = 121. 3. Calcium carbonate is the majour component of marble. Sulphuric acid one of the majour components of acid rain. Write a balanced chemical quation to show how the corrosion of marble statue by the acid rain. In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area 7.The 'd contraction is also used for the auxiliary verb ____________. should couldwould Which of the following is an example of a parameter? 9047 out of 531,310 citizens voted in the special election for city council. Half of the receipts at the coffee shop include web address for giving feedback. 3.5% of the restaurant goers are given a survey to fill out. All of the members of the community watch group gave their availability to volunteer over the summer. Southwest Asia became the center of an agricultural revolution. Which of the following is not a reason for this? A. It had fertile soil and abundant rainfall. B. Six types of large mammals gave hominids food, clothes, and transportation. C. Around 9000 BCE, humans began to domesticate barley and wheat. D. Frequent floods created a silt-like soil throughout the region. E. Planters selected and stored seeds for planting the following year. The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 4x + 2. Which of the following shows the area of the rectangle in terms of x? (L + W)(x) = 7x2 + 2 (L + W)(x) = 7x2 8x + 2 (L W)(x) = 28x3 16x2 + 8x (L W)(x) = 28x3 4x + 2 If a substance has a half-life of 55.6 s, and if 230.0 g of the substance are present initially, how many grams will remain after 10.0 minutes? You are studying lipoprotein processing in a strain of mutant mice. You find that these mice synthesize the same apolipoprotein composition contained in lipoproteins made in the liver and the intestines, whereas, in wild-type mice there are 2 different sized apolipoproteins in these same tissues. Examination of the mRNA processing in the mutant mice would most likely show a defect in which of the following processes?A. alternative polyadenylationB. alternative splicingC. differential cappingD. posttranscriptional modification converting a U to a T residueE. RNA editing I have this question where I think the answer is "directed north of east," but apparently it is not. Can someone explain: vectors v1 andv2 shown below have equal magnitudes. the vectors represent the velocities of an object at times t1, and t2, respectively. the average acceleration of the object between time t1 and t2 was... How to do this question plz answer me step by step plzz plz Food Shoppe Galore had the following information: Total market value of a companys stock: $650 million Total market value of the companys debt: $150 million What is the weighted average of the companys debt? simplfy given equation using the distributive property 6 - (3x+10) + 4(2 - x) =15