To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C

To Find The Distance From The Edge Of A Lake To The Tree On The Island In The Lake, Lisa Sets Up Atriangular

Answers

Answer 1

Answer:

  135.5 m

Step-by-step explanation:

Given a triangle with angles A=46°, B=103°, and side c=97 m, you want to find the length of side 'a'.

Law of Sines

Given one side and two angles we can solve the triangle using the Law of Sines:

  a/sin(A) = b/sin(B) = c/sin(C)

In order to do that, we need to have a (side, angle) pair, so we need to find the measure of angle C.

  A + B + C = 180°

  46° +103° +C = 180° . . . use the given measures

  C = 31° . . . . . . . . . . . . . subtract 149°

Now, we can find 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = (97 m)·sin(46°)/sin(31°) ≈ 135.477286 m

The distance from B to the tree at C is about 135.5 meters.

To Find The Distance From The Edge Of A Lake To The Tree On The Island In The Lake, Lisa Sets Up Atriangular

Related Questions

Is Avogadro's number equal to one mole?

Answers

One mole consists of 6.02214076×10²³ units which is Avogadro's number. Thus one mole is known as Avogadro's number.

What is one mole?

A mole is 6.02214076×10²³ of any chemical unit, including atoms, molecules, ions, and others. Due to the large number of atoms, molecules, or other components that make up any substance, the mole is a useful measure to utilize. The mole was initially defined as the quantity of atoms contained in 12 grammes of carbon-12, but the General Conference on Weights and Measures declared in 2018 that the mole will only contain 6.02214076×10²³ of some chemical unit as of May 20, 2019.

In chemistry, a mole, sometimes spelled mol, is a common scientific measurement unit for significant amounts of very small objects like atoms, molecules, or other predetermined particles.

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What is the area of this parallelogram?

Answers

Answer: B

Step-by-step explanation:

Area = 4 x 5

         = 20 cm^2

Remember that area of parallelogram is the base x perpendicular height. is The perpendicular height is not 6cm but 5cm. (right angle labelled on diagram)

Answer: 20 cm²

Step-by-step explanation:

area parallelogram = base x height

=> 4 x 5 = 20

1. What is the unit of measurement for speed using the metric system?

Answers

Answer:

meter per second(m/s)

Answer:

Hey there! The metric system has a unit called meters per second for measuring speed. It's abbreviated as m/s and it's used to measure how far something travels in a certain amount of time. For example, if something goes 50 meters in 10 seconds, its speed would be 50 m/s / 10 s = 5 m/s. There are other units for measuring speed too, like kilometers per hour (km/h) and centimeters per second (cm/s). It just depends on what you're measuring and how precise you need to be.

________________________________________________________

How do things like distance and time affect the speed of an object?

Well, speed is all about how far something goes in a certain amount of time. So if you increase the distance traveled or decrease the time it takes to travel that distance, the speed will increase. On the other hand, if you decrease the distance traveled or increase the time it takes to travel that distance, the speed will decrease.

Why is it important to measure and calculate speed in certain situations?

There are all sorts of situations where knowing the speed of something is important. For example, if you're driving a car, it's important to know how fast you're going so you can stay safe and follow the speed limits. In sports, measuring speed can help coaches and players improve their performance. And in science, measuring the speed of light or other phenomena can help us better understand the world around us. So as you can see, speed is a pretty important concept!

help im no good at this

Answers

Answer:

8.2 × 10⁻³

Step-by-step explanation:

1.64 × 10⁰      1.64 × 1         1.64

-------------- = -------------- = ---------- = 0.0082

2.0 × 10²        2 × 100        200

Scientific notation: 8.2 × 10⁻³

I hope this helps!

What are the 11 identities?

Answers

Trigonometric identities are categorized as various identities out of which 11 are ,

Sin θ = 1/Coc θCos θ = 1/Sec θ Tan θ = 1/Cot θTan θ = Sin θ/Cos θCot θ = Cos θ/Sin θSin (90 – θ) = Cos θCos (90 – θ) = Sin θTan (90 – θ) = Cot θCot ( 90 – θ) = Tan θSec (90 – θ) = Cos θCos (90 – θ) = Sec θSin (-θ) = – Sin θ

Trigonometric Identities are used when trigonometric functions are given in an expression. Geometrically, these identities include one or more trigonometric functions

These are the sine , cosine or the tangent functions.

There are numerous trigonometric identities relating the side length and angle of a triangle. Only the right-angle triangle has the trigonometric identities.

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y=-5 8x+5y=-17 substitution

Answers

[tex]8x+5y=-17[/tex] when y is -5

Substitute for y with given value:

[tex]8x+5(-5)=-17[/tex]

[tex]8x-25=-17[/tex]

Add 25 to both sides:

[tex]8x-25+25=-17+25[/tex]

[tex]8x=8[/tex]

Divide both sides by 8:

[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]

[tex]\fbox{x = 1}[/tex]

6 x/11 ➕1

What does x equal

Answers

X is 55 after rearranging the equation given

What is the 3 triangular number?

Answers

A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.

What exactly is meant by triangular numbers?

A triangular number is one that may be written as the sum of a initial n positive integers.

A good example of a triangular number is 6, which may be written as 1+2+3 when the first three positive integers are added together.Triangular numbers make up a sequence if one considers the sum of the first positive integer as the initial element, the sum of the first two positive integers as the second element, and so on.If a number equals that sum of such initial n positive integers, then n denotes the position of that particular triangular number with in the series.Triangular numbers can be used to create equilateral triangles.

The first 3 triangular numbers are therefore 1, 3, and 6.

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Greg has 14 as many songs on his computer as Mark. Raj has 6 fewer than 60% of the songs that Mark has. Mark has 720 songs on his computer.

Answers

Using percentage and equations, Greg has 734 songs, Raj has 426 songs and Mark has 720 songs

What is Percentage

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentages have no dimension, which it's why they are dimensionless number. for example 60% of a number, then it means 60 per cent of its whole.

In this problem, we can write an equations and solve to determine the number of songs Greg has on his computer.

Let;

x = number of songs Greg hasy = Number of songs Raj has

Since Mark has 720 songs in his computer;

x = 14 + 720

x = 734

Greg has 734 songs

We can calculate the number of songs Raj has by;

y = 60%(720) - 6

y = [(0.6) * 720] - 6

y = 426

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Factor the expression completely.
x^4-15x^2+54

Answers

Answer:

x^2(x^2 - 15) + 9(x-6)(x+1)

Step-by-step explanation:

To factor the expression x^4 - 15x^2 + 54 completely, we need to find the common factors in each term. In this case, we can see that the terms x^4 and -15x^2 share a common factor of x^2. To factor this out, we can use the difference of squares factorization:

x^4 - 15x^2 + 54 = x^4 - 15x^2 + (9x^2 - 9x^2) + 54

= x^2(x^2 - 15) + 9(x^2 - 6)

= x^2(x^2 - 15) + 9(x-6)(x+1)

Since x^2-15 can't be factored further. The expression is fully factored.

We can check this by multiplying it back and it should be the same as original expression.

Angle AOB is a central angle with a measure of 110 degrees.
What is the measure of its arc AB?

Answers

The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

Given that,

In the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

We have to find the measure of the ACB arc.

We know that,

Suppose that AB is the minor arc that is m(arc AB) = 110°

We know that measure of the major arc is 360°-  measure of minor arc.

m(arc ACB)= 360- m(arc AB)

m(arc ACB)= 360-110

m(arc ACB)= 250°

Therefore, The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

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how to get the Y intercept when you don't have a 0 X coordinate?​

Answers

Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

5. Measure the length of each leg and the hypotenuse of this triangle: a.f = units ag units fg = units​

Answers

To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()

What is Hypotenuse triangle?

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

Hypotenuse Theoram

Pythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;

Hypotenuse2 = Base2 + Perpendicular2

The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:

Hypotenuse = √[Base2 + Perpendicular2]

Length of the hypotenuse:Hypotenuse length: In the scenario where the square root is not a perfect square, we take an approximation of the root here in order for the solution to appear.Additionally, the squares of the base and the height should always be added to establish the value, however this does not provide a perfect square.Due to the imperfect square-root number, we must therefore approximation the solution.

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How do you write log in e form?

Answers

Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form

loga N=x

can be easily transformed into the exponential form as:

ax=N

Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.

Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.

Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.

And exponentials help in working across numbers with different bases and different powers.

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Will give you brainlist
What are the two equations to set up to solve the equation?

|3x-2|=19

3x-2=


~QUESTION 2~

3|x+2|-7=14

x=_______

_____


~QUESTION 3~

-2|2x+3|+14(greater than and equal to symbol) -16

= < with line * < with line

Answers

The two equation to set up to solve the equation |3x - 2| = 19 are

3x - 2 = 193x - 2 = -19

Question 2

x = 5 OR -9

Question 3

x ≥ 6 OR x ≥ -9

What is absolute value?

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

A number can never have a negative absolute value.

How to write the absolute value equation

The equation is written in the form below

|3x - 2| = 19

removing the absolute value sign

3x - 2 = ± 19

the two equations are

3x - 2 = 19

3x - 2 = -19

Question 2

solving for x

3|x + 2| - 7 = 14

3|x + 2| = 14 + 7

3|x + 2| =  21

divide through by 3

|x + 2| =  7

removing the absolute value sign

x + 2 =  ±7

solving for x for positive value

x + 2 = 7

x = 5

solving for the negative sign

x + 2 = -7

x = -9

Question 3

-2|2x+3| + 14 ≥ -16

-2|2x+3| ≥ -30

dividing through by -2

|2x+3| ≥ 15

2x+3 ≥ ±15

solving for the positive sign

2x+3 ≥ 15

x ≥ 6

solving for the negative sign

2x+3 ≤ -15

x ≥ -9

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How do you solve a 3 by 3 system of equations using matrices?

Answers

The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

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IS this statement true. When two conjugates are multiplied, the product is a

difference of two squares

Answers

Therefore the product of two conjugates is a difference of two squares.

What are conjugates?

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Define binomial numbers.

An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.

This statement is true.

The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.

When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.

which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)

So the product of two conjugates is a difference of two squares.

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Solve for x in this triangle. Round your answer to the nearest tenth. 18 Xº 23​

Answers

Answer:

51.50004959055205

Step-by-step explanation:

[tex]sin (x) = \frac{18}{23}[/tex]

A line passes through the points (-2,8) and (5,-20)

Answers

The linear equation that passes through these two points is:

y = -4x

How to find the equation for the line?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (-2, 8) and (5, -20), so the slope is:

a = (-20 - 8)/(5 + 2) = -28/7 = -4

So the line is:

y = -4*x + b

To find the value of b, we can replace the values of the point (-2, 8), so we will get:

8 = -4*(-2) + b

Now we can solve this for b.

8 = -4*(-2) + b

8 = 4*2 + b

8 = 8 + b

8 - 8 = b

0 = b

Then the linear equation is:

y = -4*x

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Can someone please explain how to do inequalities in math.
please add an example too.

Answers

When solving inequalities, solve them like regular equations. Worry about the inequality sign/s at the end.

For instance, if the inequality is 11 - 8x < -13

1.Subtract 11 on both sides to get -8x by itself. 11-11 - 8x < -13-11

2. Simplify
-8x < -24

3. Divide both sides by -8
-8x/-8 < -24/-8

4. Simplify
X < 3, but since you divided by a negative number you need to switch the inequality sign to x>3. This is because an inequality rule says when you’re dividing a negative number, the inequality sign switches. But, if you’re dividing by a positive number, you don’t change the sign.

And you would graph this on a number line by having an open circle of 3 with the line going to the right. It would have an open circle because it doesn’t include 3 as the solution.

7
A scientist is investigating the weight of 50 tigers.
Here is some information about these tigers.
Number of tigers
Mean weight of tigers (kg)
Siberian
22
260
Type of tiger
The mean weight of all 50 tigers is 218 kg
Work out the mean weight of the Bengal tigers.
Bengal
28

Answers

Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.

What is probability?

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - μ/σ

x = the raw score

 

 population mean= μ 

Population standard deviation is σ

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability based on the Z-Table:

P(x<258) = 0.89736

Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.

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What are the 3 possible solutions for any quadratic?

Answers

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

quadratic equations

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

factoring

factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

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Each of the students in class writes a different 2 digit number on the whiteboard. The teacher claims that no matter what the students write there will be at least three numbers on the white board whose digits have the same sum what is the smallest number of students in the calls for the teacher to be correct?

Answers

Answer: The teacher's claim is that there will be at least three numbers on the whiteboard whose digits have the same sum, no matter what the students write. To see if this claim is true, we can consider different cases for the number of students in the class.

If there are only two students in the class, the teacher's claim is not true. The two students can write any two different two-digit numbers, and it's not guaranteed that the digits in those numbers will have the same sum.

If there are three students in the class, the teacher's claim is true. The three students can write any three different two-digit numbers, and at least one of those numbers is guaranteed to have digits that have the same sum as one of the other numbers.

If there are more than three students in the class, the teacher's claim is true. No matter what numbers the students write, there will always be at least three numbers whose digits have the same sum.

Therefore, the smallest number of students for the teacher's claim to be true is three students.

It's worth mentioning that the teacher's claim is not necessarily true for all cases, it's only true that any three numbers picked out of the two-digit numbers set, will have digits with the same sum.

Step-by-step explanation:

How do you represent a number line on a class 7?

Answers

Draw a line and locate the origin '0', mark the positive numbers on the right and the negative number on the left of '0' at an equal distance.

A number line is a horizontal straight line in which the integers are placed in equal intervals. All the numbers can be represented in a number line. This line can be extended indefinitely at both ends. 

A number line is a graphical representation of numbers on a straight line. It is used for comparing and ordering numbers. It can be used for representing any real number that includes every whole number and natural number.

Draw a line and locate the point ‘0’. This point is known as the origin. If the given number is positive, draw it on the right side of the origin. If it is a negative number, draw it on the left side of zero. Divide each unit into the values equal to the denominator of the given fraction.

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Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is (/,/)

Answers

The estimated solution of the system 3x + y = 10 and y = 6x + 1 is (1, 7)

What is an equation?

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the linear equation:

3x + y = 10

y = -3x + 10   (1)

y = 6x + 1     (2)

Subtracting equation 2 from 1 to solve using elimination method gives:

0 = -9x + 9

9x = 9

x = 1

put  x = 1 in eqn 2:

y = 6(1) + 1

y = 7  

The solution is (1, 7)

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SHOW YOUR WORK 256 divided by 6400

Answers

u sure it is 6400 divided by 256?

Rewrite 14x4y3 − 42x3y4 using a common factor.

Answers

The expression 14x⁴y³ - 42x³y⁴ is rewritten to 14x³y³(x - y)

What is an algebraic expression?

An algebraic expression can be described as a mathematical expression that is made up of terms, coefficients, variables, factors and constants.

They are also made up of some arithmetic operations, such as;

SubtractionMultiplicationDivisionBracketParenthesesAddition, etc

From the information given, we have the algebraic expression;

14x⁴y³ - 42x³y⁴

Now, factor the common numbers, we have;

14(x⁴y³ - 3x³y⁴)

Factor the common variables, we get;

14x³y³(x - y)

Hence, the expression is 14x³y³(x - y)

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A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?

Answers

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

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What is the interval of zero?

Answers

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a correlation or regression includes zero, that means that if you run the experiment again there is a good chance of finding no correlation in the data.

In both of these cases, you will also find a high p-value when you run the statistical test, meaning that the results could have occurred under the null hypothesis of no relationship between variables or no difference between groups.

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hi, can someone please help me

Answers

this is your proper answer

hii, how are you

Answer:

15

Step-by-step explanation:

Let the total number of beads be x

[tex]\because\: \frac{3}{8}[/tex] of the beads are blue.

& Total number of blue beads = 9

[tex]\rightarrow\: \frac{3}{8}\times x= 9[/tex]

[tex]\rightarrow\: x= \cancel{9}\times\frac{8}{\cancel{3}}[/tex][tex]\rightarrow\: x=3\times 8[/tex]

[tex]\rightarrow\: x=24[/tex]

Number of purple beads = 24 - 9 = 15
Other Questions
Duty-based ethical standards are based on religious precepts or derived through philosophical reasoning.True / False According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other. Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star. Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B. Which of the following statements is true about the planets? is 3/16 greater than 1/16 You have just been hired as a Level 1 PC Support Technician by Acme Products. Part of your job responsibilities include performing limited tasks on company workstations. You need to create a local account for a user on a computer running Windows Vista. You also need to install a printer for that user. What type of account must you have on the Windows Vista computer in order to complete your assigned work with limited access? the ____ technology trend may change the way users access software and data. GIVING BRAINLIEST AND 50 POINTS Answer for loads of points.Was Hitler really a BAD guy? Or was he a man that was just trying to follow his dreams? What law states that two alleles for a heritable character separate during gamete formation and end up in different gametes? What is a non-restrictive pronoun? Dry ice is solid carbon dioxide that is used in the transport of food and medicine. dry ice becomes a gas at 78.5c without becoming a liquid first. what change of state is being described? psychographics is considered to be a measure of consumers' ______. In the short story 'The Crysanthemums," by John Steinbeck, what does theauthor use to provide the reader with clues about Henry's character? Rank the following reservoirs by the amount of time that water tends to reside in them.Longest ShortestOceans glaciers lakesthe atmosphere rivers If you use the _______________ switch, ping continuously sends ping packets until you stop it with the break command. A child with heart failure is on Lanoxin (digoxin). The laboratory value a nurse must closely monitor is which What is the reciprocal of 1 4/13 Need this question quick 20 points Nathanson Corporation was organized on May 1. The following events occurred during the first month:a. $67,000 cash from the five investors who organized Nathanson Corporation. Each investor received 108 shares of $10 par value common stock. B. Ordered store fixtures costing $18,000. C. Borrowed $17,000 cash and signed a note due in two years. D. Purchased $19,000 of equipment, paying $1,300 in cash and signing a six-month note for the balance. E. Lent $1,200 to an employee who signed a note to repay the loan in three months. Received and paid for the store fixtures ordered in (b). Required:Prepare journal entries for each transaction Gravity on earth is 9.8 Jaydens mass is 50 kilograms his weight is WTOThe protests in light of:o The individual rights granted by the Bill of Rights (15 points)o Previous court cases which challenged these rights (15 points)o How the protests relate to the debate of the common good vs. individual rights