Find the equation of any line parallel to the line 2x-3y=6

Answers

Answer 1

Answer:

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.

Step-by-step explanation:


Related Questions

Please help will mark Brainly

Answers

Answer:

P=10x^2+38y

Step-by-step explanation:

its the answer

suppose you are one of 19 people at a dinner party. Find the probability that at least one of the other guests has the same birthday as you and that some pair of guests share the same birthday assume there are 365 days in the year

The probability that at least one other guest shares your birthday is approximately?

The probability that some pair of guests share the same birthday is approximately?

Answers

The solution is 0.3486 or 34.86%, chance that exactly one other guest has the same birthday as you.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

For each guest, the probability that they share a birthday with you is 1 in 365. Aside from you, there are 499 guests.

Therefore, this problem can be modeled by a binomial probability model with probability of success 1/365.

The probability of exactly 1 success in 499 trials is given by:

P(x=1) = 0.3486

There is a 0.3486 or 34.86% chance that exactly one other guest has the same birthday as you.

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A sample, sized 5, was taken with the following measurements: 5, 10, 2, 7, and 6.
What is the point estimate of the population mean?

Answers

The point estimate of the population mean is 6

What is the point estimate of the population mean?

From the question, we have the following parameters that can be used in our computation:

Measurements: 5, 10, 2, 7, and 6.

Sample size = 5

The point estimate of the population mean is the sample size of the mean

Using the above as a guide, we have the following:

Sample mean  = Sum/Count

substitute the known values in the above equation, so, we have the following representation

Sample mean  = (5 + 10 + 2 + 7 + 6)/5

Evaluate

Sample mean = 6

Hence, the estimate is 6

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5.3A Find Two Numbers Whose Product and Sum is as Indicated

Answers

Due to length restrictions, we kindly invite to read the explanation of this question for further details about two numbers related to a given sum and a given product.

How to find a set of two real numbers

In this problem we find 48 case of two numbers that must be found and whose sum and product are given. Mathematically speaking, the expressions describing the problem:

x₁ + x₂ = b

x₁ · x₂ = c

Whose solution can be found by numerical methods.

Now we proceed to determine the values for each cases:

(x₁, x₂) = (6, 1)(x₁, x₂) = (4, 9)(x₁, x₂) = (3, - 2)(x₁, x₂) = (- 4, - 9)(x₁, x₂) = (- 8, 2)(x₁, x₂) = (2, - 2)(x₁, x₂) = (4, - 2)(x₁, x₂) = (- 4, 3)(x₁, x₂) = (- 5, - 4)(x₁, x₂) = (5, - 3)(x₁, x₂) = (6, 2)(x₁, x₂) = (- 2, - 3)(x₁, x₂) = (- 2, - 7)(x₁, x₂) = (2, 8)(x₁, x₂) = (11, - 2)(x₁, x₂) = (5, - 4)(x₁, x₂) = (- 8, 1)(x₁, x₂) = (8, - 3)(x₁, x₂) = (7, 8)(x₁, x₂) = (8, 8)(x₁, x₂) = (6, 4)(x₁, x₂) = (6, 9)(x₁, x₂) = (3 - 2√2, 3 + 2√2)(x₁, x₂) = (9, - 4)(x₁, x₂) = (8, - 7)(x₁, x₂) = (- 4, - 9)(x₁, x₂) = (8, - 2)(x₁, x₂) = (- 9, - 9)(x₁, x₂) = (- 15, 3)(x₁, x₂) = (7, - 6)(x₁, x₂) = (- 7, - 7)(x₁, x₂) = (- 8, - 8)(x₁, x₂) = (12, - 3)(x₁, x₂) = (- 3, - 8)(x₁, x₂) = (4, - 3)(x₁, x₂) = (- 12 - √119, - 12 + √119)(x₁, x₂) = (7, - 4)(x₁, x₂) = (- 6, - 9)(x₁, x₂) = (5, 7)(x₁, x₂) = (- 8, 4)(x₁, x₂) = (- 7, 6)(x₁, x₂) = (5 / 2 + √73 / 2, 5 / 2 - √73 / 2)(x₁, x₂) = (5, 6)(x₁, x₂) = (- 10, 4)(x₁, x₂) = (- 9, 4)(x₁, x₂) = (- 9, 7)(x₁, x₂) = (6, 8)(x₁, x₂) = (- 7, 3)

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Write the sentence as an equation.
242 fewer than the quantity 193 times n equals 131

Answers

I think this is it

252-(193×n) =131

write 76 in the base-nine system

Answers

The base-nine system of 76 base 10 is 84

What is 76 base 10 in the base-nine system?

We will divide 76 by 9 and write down the remainder

9 | 76 R

9 | 8 | 4

9 |8 | 8

The remainder is then written from the bottom value giving us 84

Consequently, base 10 numbers can be converted to base 9 by dividing by 9 and writing the remainder in the reverse order of bottom to top.

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Find the image of the given point
under the given translation.
P(12, 8)
T(x, y) = (x-8, y - 12)

Answers

P(12,8)

Move  8 units to the left (X) and  12  units down(Y).

P'(12-8, 8-12)

P'(4, -4)

If you don't how to do translation try plotting (12,8).

Add Decimals-Instruction - Level E
June makes slime using 1.5 liters of white glue and 0.72 liter of a starch and water mixture.
Find the total volume of the slime.
Are there enough hundredths to make a tenth?
➡ There are ? hundredths. That is
enough to make a tenth.
✓is
is not

Answers

➡ There are 22 hundredths. That is enough to make a tenth.

What is the arithmetic operations?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional  operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th century, Italian mathematician Giuseppe Peano formalized arithmetic with his Peano axioms,[disputed – discuss] which are highly important to the field of mathematical logic today.

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

To find the total volume of the slime, we need to add 1.5 and 0.72:

1.5 + 0.72 = 2.22

There are 22 hundredths, which is enough to make a tenth.

Hence, the answer is:

➡ There are 22 hundredths. That is enough to make a tenth.

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Suki wants to pour 25 milliliters
of water, 35 milliliters of oil,
and 45 milliliters of syrup into
the same beaker for a science
experiment. The beaker holds up to 100 milliliters. Will the beaker hold all three liquids? Explain why or why not.

Answers

No, the beaker will not hold all three liquids. The total volume of the liquids that Suki wants to pour into the beaker is 25 milliliters of water + 35 milliliters of oil + 45 milliliters of syrup = 105 milliliters. This is greater than the 100 milliliters capacity of the beaker.

Therefore, the beaker will not be able to hold all three liquids, and Suki will need to adjust the amount of one or more of the liquids in order for them to fit into the beaker.

what is statistics?

Answers

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

What is Data?

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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How many solutions does the system have? { � = 5 � + 1 � = − 2 � − 8 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ y=5x+1 y=−2x−8 ​

Answers

The given system of linear equations has a unique solution.

What are linear equations?

A linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

Given that, a system of linear equations, ​ y = 5x+1 and y = -2x-8, we are asked to find how many solutions do they have,

The rule for a system of linear equations, ​a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are :-

When the system has a unique solution :-

​a₁ / a₂ ≠ b₁ / b₂, and the lines intersect at one only point.

When the system has a no solution :-

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂, and the lines are parallel.

When the system has infinite solution :-

a₁ / a₂ = b₁ / b₂ = c₁ / c₂, and the lines overlaps.

Checking for the given equations,

y = 5x+1 and y = -2x-8

Converting into standard form of the linear equations,

5x-y +1 = 0 and 2x+y+8 = 0

5/2 ≠ -1

The equation is following the rule of unique solution, also the graph is intersecting at one point, [graph is attached]

Hence, the given system of linear equations has a unique solution.

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Answer:

One solution

Step-by-step explanation:

If x=3. what is y=?

Y=

X: -3 0 3 6
Y: -5 -4 -3 -3

Answers

Answer:

Step-by-step explanation:

y = -3

10 inches in 6 hours
80 inches in 2 days

Answers

The relation is a direct variation

How to determine if the relation is a direct variation

From the question, we have the following parameters that can be used in our computation:

10 inches in 6 hours

80 inches in 2 days

Convert 2 days to hours

So, we have the following representation

10 inches in 6 hours

80 inches in 72 hours

For the relation to be a direct variation, the following must be equal

6/10 = 72/80

Evaluate

0.6 = 0.6

Hence, the relation is a direct variation

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Complete question

Determine if the following relation represents a direct variation

10 inches in 6 hours

80 inches in 2 days

PLSSSS HELP ME ASAP I DONT UNDERSTAND THIS

Jon filled up the tank of his semitruck with 240 gallons of fuel and set out to deliver a shipment of vegetables. His truck uses an average of 0.15 gallons of fuel for each mile he drives. You can use a function to approximate the amount of fuel in Jon's tank after he drives x miles.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)^x.

Answers

The equation for the function is [tex]y=-0.15x+240[/tex].

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, occasionally referred to as a "linear equation of two variables."

It is given that the amount of fuel filled up in Jon's semi truck is 240 gallons.

It is also given that for 1 mile the truck uses 0.15 gallons of fuel.

So, for "x" miles, the truck uses 0.15*x gallons of fuel.

So, the remaining fuel in the tank will be 240-0.15x.

Let the remaining fuel be "y".

This can be written as:

[tex]y=240-0.15x\\y=-0.15x+240[/tex].

Therefore the remaining fuel in the tank after Jon drives x miles will be a linear equation [tex]y=-0.15x+240[/tex]

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The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a)
Compute the​ z-score corresponding to the individual who obtained miles per gallon. Interpret this result.
​(b)
Determine the quartiles.
​(c)
Compute and interpret the interquartile​ range, IQR.
​(d)
Determine the lower and upper fences. Are there any​ outliers?

Answers

a) The value of z-score is -0.299.

c) The IQR value is measure of spread of data,  IQR = 4.25.

d) There is outliers since observations are not less than 30.375 and greater than 47.375.

What is z- score?

The z-score is an example of a standardised score. The standard deviation of a data point's divergence from the mean of the distribution is calculated using a z-score.

Given:

Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3

(a) The value of z-score is calculated as follows,

μ = [tex]\sum _{i=1}^n[/tex]/ n = 933.1 /24 = 38.88

σ = 3.61

So, z = X - μ / σ  

 = 37.8 - 38.88/3.61

 = −  0.299

(b) Quartile:

Q₁ = ( n+1/4)th value

= (24+1/4)th

= 6.25th

=  36.2 + 0.25 x ( 37.3 −  36.2 )  

= 36.47

and, M = ( n+1/2)th value

= (24+1/2)th

= (24+1/4)th

=  12.5 t h

= 38.4 + 38.5/2

= 38.45

Q₃ = 3( n+1/4)th

= 3(24+1/4)th

= 18.75 t h  

= 40.6 + 0.75 x ( 41.4  −  40.6 )  

= 41.2

(c) Interquartile​ range

=  Q ₃ −  Q ₁  

= 41.2  −  36.47  

= 4.25

(d) Lower fences =  Q₁− 1.5 ( I Q R )  

                           =  36.75 −  1.5  ( 4.25 )  

                           =   30.375  

Upper fences = Q ₃+1.5

                      =  41 + 1.5( 4.25 )  

                      = 47.375

Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.

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Find the distance the point P(3, 1, 7), is to the plane through the three points
Q(5, 0, 3), R(0, -1, 7), and S(7, 5, 0).

Answers

The distance between the point P and the plane through the points Q, R, and S is 60/23.

How did we get the value?

The distance of a point P(x1, y1, z1) from a plane that passes through the points Q(x2, y2, z2), R(x3, y3, z3), and S(x4, y4, z4) can be found using the following formula:

d = |(A * x1 + B * y1 + C * z1 + D) / sqrt(A^2 + B^2 + C^2)|

Where A, B, and C are the coefficients of the plane's normal vector and D is the constant term in the equation of the plane. The normal vector can be found by taking the cross product of the vectors Q-R and Q-S:

n = (Q-R) x (Q-S)

The coefficients of the normal vector can be found using the following equations:

A = n1

B = n2

C = n3

D = -(A * x2 + B * y2 + C * z2)

Substituting the values of Q, R, and S, we have:

Q-R = (5-0, 0-(-1), 3-7) = (5, 1, -4)

Q-S = (7-5, 5-0, 0-3) = (2, 5, -3)

The cross product of Q-R and Q-S is:

n = (1 * -3 - 5 * -4, -3 * 5 - 2 * -4, -2 * 1 - 5 * 5) = (-23, 29, 17)

So,

A = -23

B = 29

C = 17

D = -(A * x2 + B * y2 + C * z2) = -(-23 * 5 + 29 * 0 + 17 * 3) = -109

Finally, substituting the values of x1, y1, and z1:

d = |(A * x1 + B * y1 + C * z1 + D) / √(A^2 + B^2 + C^2)|

= |(-23 * 3 + 29 * 1 + 17 * 7 + -109) / √(-23^2 + 29^2 + 17^2)|

= |(-69 + 29 + 119 -109) / √(-23^2 + 29^2 + 17^2)|

= |60 / √(-23^2 + 29^2 + 17^2)|

= |60 / √(529)|

= 60 / 23

So the distance between the point P and the plane through the points Q, R, and S is 60/23.

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The sum of the digits in a two-digit number is 14. If you reverse
and double the original number, and then add the result to the
original number, the sum is 222. Find the original number. Please help me.

Answers

Answer:

The original number is 86.

Step-by-step explanation:

The only two-digit numbers whose digits sum to 14 are:

5968778695

If we reverse and double the original number:

59 reversed is 95 → 95 × 2 = 19068 reversed is 86 → 86 × 2 = 17277 reversed is 77 → 77 × 2 = 15486 reversed is 68 → 68 × 2 = 13695 reversed is 59 → 59 × 2 = 118

If we add the result of reversing and doubling the original number to the original number:

59 + 190 = 24968 + 172 = 24077 + 154 = 23186 + 136 = 22295 + 118 = 213

As the sum of adding the result of reversing and doubling the original number to the original number is 222, the original number must be 86.

The price (in S) of a cookbook is determined by the number of cookbooks x demanded by consumers and supplied by the publisher.
Supply: p=0.003.x
Demand: p= -0.008x+330
(a) Solve the system of equations defined by the supply and demand models.
(b) What is the equilibrium price?
(c) What is the equilibrium quantity?

Answers

The system of equations defined by the supply and demand models solved for equilibrium price is $9 and equilibrium quantity is 3000 units

How to solve system of equation?

Supply:

p=0.003x

x = p/0.003

x = 1/0.003p

Demand:

p= -0.008x+330

-0.008x = p - 330

x = (p - 330)/-0.008

Equilibrium price

Equate supply and demand price

0.003x = -0.008x+330

0.003x + 0.008x = 330

0.011x = 330

x = 330/0.11

x = 3,000

Substitute into

p=0.003x

p = 0.003(3000)

p = $9

Consequently, the equilibrium quantity and price is 3000 units and $9

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Write 15*15*15*15 using an exponent

Answers

Answer:

15^4

Step-by-step explanation:

An exponent refers to the number of times a number is multiplied by itself,

so 15 multiplied 3 more times by itself (15 * 15 * 15 * 15) its 15^4.

Answer:

[tex]15^{4} .[/tex]

Step-by-step explanation:

1. General concept about exponents.

When working with positive non fractional exponents, we state that a number A elevated to the n power is that number A in a multiplication of itself n times. For example, when we write [tex]7^{3}[/tex] we're stating that the seven is being multiplied 3 times: [tex]7*7*7[/tex].

2. Use the rule to rewrite the expression.

As you may see, the expression "15*15*15*15" is just the number 15 being multiplied by itself four times. Hence, we could say that the number 15 to the power of 4. Thus, we can rewrite it as:

[tex]15^{4} .[/tex]

help help help help help help help help help help help help help help help

What is the number of sides of a regular polygon in which each interior angle has a measure of 165°?

Answers

Answer:

the answer is 24 sides

explanation

6 3/14 divided by 250 + 5 2/7 divided by 250

Answers

Answer:

The solution is 23/500 or 0,046

Step-by-step explanation:

6 3/14÷250+5 2/7÷250

= 6 3/14×1/250+5 2/7×1/250

= (87/14×1/250)+(37/7×1/250)

= (87/3500)+(37/1750)

= 87+37(2)/3500

= 87+74/3500

= 161/3500

= 161÷7/3500÷7

= 23/500

= 0,046

Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 7 such locations are generated, what is the probability that the first 5 locations are in water and the last 2 locations are on land?

A. 0.0010
B. 0.0152
C. 0.0910
D. 0.9090

Answers

Answer:

0.0152 is the probability that the first 5 locations are in water and the last 2 locations are on land.

The answer is D. 0.9090. This can be calculated by taking the probability of a location being in water (71%) and combining it with the probability of the remaining locations being on land (29%). This gives us the probability of 0.71^5 * 0.29^2 = 0.9090.

The length of the dashed line in the circle

Answers

The length of the dotted line would be 7.922 ft.

What is the diameter of the circle?

The diameter of a circle is the distance across the circle through its center. It is equal to twice the length of the radius, which is the distance from the center of the circle to any point on the circle.

In mathematical terms, if d represents the diameter of a circle, and r represents its radius, we have the formula:

d = 2r

In the given circle, for finding the inner diameter we have to remove the thickness of the circle from outer diameter, we get

q = 17.708 - 4.893 - 4.893

By solving this, we get

q = 7.922

Hence, the length of the dotted line would be 7.922 ft.

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which is a true statement about two numerical sets of data that have negative association

Answers

Answer:

Option D.

Step-by-step explanation:

Negative correlation also called an " inverse correlation " is a relation between 2 variables where-by they behave in opposite manner. When one variable moves ---> in an increasing /\ direction, the other variable moves in a decreasing \/ direction.

Thus, Option D.

verify the
identity algebraically.

Answers

Step-by-step explanation:

[tex] \frac{1}{ \sin(x ) } - \frac{1}{ \csc(x) } = \csc(x) - \sin(x) [/tex]

[tex] \frac{ \csc(x) - \sin(x) }{ \csc(x) \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \csc(x) - \sin(x) [/tex]

Find the area of a rectangle with side lengths 5/8ft. and 1/3 ft.

A. 5/11
B. 1 11/12
C. 6/11
D. 5/24

Answers

The area of a rectangle with side lengths 5/8ft. and 1/3 ft is: D. 5/24 ft².

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.

Substituting the given points into the area of rectangle formula, we have the following;

Area of rectangle = 5/8 × 1/3

Area of rectangle = 5/24 square feet.

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6.88 + 3w= 17.98 find w

Answers

Answer:

3w= 17.98-6.88

3w=11.1

w =3.7

Step-by-step explanation:

After subtracting divide both side by 3

Answer:

w = 3.70

Step-by-step explanation:

Given that,

6.88 + 3w= 17.98 ..........(1)

Now subtracting both sides by 6.88 in equation (1), We have

6.88 + 3w - 6.88 = 17.98 - 6.88

or, 3w + 0 = 11.1

or, 3w = 11.1

Again dividing both sides by 3 in the above equation, We have

[tex]\frac{3w}{3}=\frac{11.1}{3} = 3.70[/tex]

Hence the required answer is w = 3.70

How do we rewrite 10^ -1 without using negative exponents?

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Charles and some friends ate at the Winterfield Café. Their bill was $50.00$ They paid $60.00​. What percentage gratuity did they pay?

Answers

The percentage of gratuity paid is 20%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount for the bill = $50

Amount paid = $60

The amount of gratuity.

= 60 - 50

= $10

Now,

The percentage of gratuity.

= 10/50 x 100

= 20%

Thus,

The percentage of gratuity is 20%.

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Circle the pair of like fractions 4/6and5/6and1/2and3/4and1/3and2/6 and1/10and2/100

Answers

The required pair of the like fraction among the given fraction is given as 1/3 and 2/6.

What is the fraction?

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.

Here,
For pairs of fraction area given we have to determine that fair of like fraction,
So we have to simplify the fraction given in the pair,
1. 4/6 and 5/6 = 2/3 and 5/6which not like pair of fraction, Similarly pairs  [1/2 and 3/4] and [1/10and2/100] are not like fractions.

Now,
3. pair 1/3and2/6 is like fractions because 1/3 = 2/6 (=1/3)

Thus, the required pair of the like fraction among the given fraction is given as 1/3 and 2/6.

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what are these in romanized japanese? 1 - mr. itoo goes to bed at 11:30.2 - as for japan, what time is it now?3 - as for mrs. tanaka, she is busy.4 - i get up at 6:00 in the morning. and then eat at 6:15. lowden company uses job order costing and applies overhead to each job at the rate of 160% of direct materials cost. during the current period, direct labor cost is $67,000 and direct materials cost is $73,000. how much overhead cost should lowden company apply in the current period? multiple choice $41,875. $73,000. $45,625. $67,000. When 25 mol of nitrogen reacts with 25 mol of hydrogen according to this reaction: ____ N2 + ____ H2 ____ NH3a. What is the limiting reactant? b. What is the excess reactant?c. How many moles of NH3 will be produced? Read the following passage from Chapter 4 of The Life and Adventures of RobinsonCrusoe, in which Crusoe describes how he removes items from the foundered ship:[P]reparing the twelfth time to go on board, I found the windbegan to rise. However, at low water, I went on board, and thoughI thought I had rummaged the cabin so effectually, as thatnothing more could be found, yet I discovered a locker withdrawers in it, in it, in one of which I found two or three razors, and onepair of large scissors, with some ten or a dozen of good knivesand forks; in another I found about thirty-six pounds value inmoney, some European coin, some Brazil, some pieces of eight,some gold, and some silver.at I smiled to myself at the sight of this money. "O drug!" said Ialoud, "what art thou good for? Thou art not worth to me, no,notthe taking off the ground; one of those knives is worth all thisheap: I have no manner of use for thee; e'en remain where thouart, and go tothe bottom, as a creaturewhose life is not worthsaving.In thepassage, Crusoe compares money to a drug.Explain some ways in whichmoneywas like a drug to Crusoe before being shipwrecked. Then, analyze the toneof thepassage, and explain how the comparison helps create that tone. Supportyour response with specific details from the passage. what role did vladimir lenin play in the russian revolution A fruit juice recipe calls for 5 parts orange juice and 6 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 21 L of pineapple juice? 30 over 21 equals j over 100 6 over 5 equals j over 21 6 over j equals 5 over 21 5 over 6 equals j over 21 the sarcolemma of the cardiac muscle cells has fast voltage-gated channels that participate in the depolarization of the cell membrane. Reasons for acquiring hostages include publicity, use as a bargaining chip while executing other crimes, the forcing of political concessions, and ransom. (Antiterrorism Scenario Training, Page 1) True False why does walton choose the liuetentant the current yield curve for default-free zero-coupon bonds is as follows: maturity (years) ytm 1 9.3 % 2 10.3 3 11.3 a. what are the implied one-year forward rates? if you purchase a three-year zero-coupon bond now, what is the expected total rate of return over the next year? (hint: compute the current and expected future prices.) ignore taxes. Solve for x and simplify answer4\x=-183 What is the name for a burst of activity on an EEG in the early stages of sleep?a. gamma wavesb. sleep spindlesc. REMd. lingering activation A 90 rotation around the origin followed by a reflection across the line x = 3 maps JKL, with coordinates J(2, 2), K(2, 6), and L(8, 2), to PQR. Find the area of PQR. Even if it conflicts with the u.s. constitution, a state constitution is supreme within that states borders. True or False? dna containing structures which condense during prophase how do costanza and daly define development? increasing the amount of matter and energy that the economy converts into wealth increasing the human well-being that the economy produces from a given amount of matter and energy increasing the well-being that the economy provides to plants and animals Three solutions of pH 4.00, pH 7.00 and pH 10.00 are used to calibrate a pH meter. These solutions are known as ______a. specimens b. standards c. controls d. aliquots three capacitors with capacitances of 5.0 micro-farads, 4.0 micro-farads and 8.0 micro-farads are connected in series. what is their equivalent capacitance? how are the three monotheistic religions that originated in southwest asia reflected in the cultural landscape and cultural patterns? A F E 2x In the diagram above JED= 27." 1) Calallate I G B , angle angle EG B