pls help with both questions

Pls Help With Both Questions

Answers

Answer 1
i can’t see the questions try posting it again!

Related Questions

20) What equation do you get when you solve Vlwh for w?And I made this longer because I would like a tutor

Answers

In the equation

\(v=\text{iwh}\)

we divide both sides by ih to get

\(\frac{1}{ih}\times v=\frac{iwh}{ih}\)

On RHS the ih in the numerator gets cancelled by ih in the denominator, leaving only h on the right-hand side; therefore, the equal we get is

\(\textcolor{#FF7968}{w=\frac{v}{ih}}\)

which is our answer!

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 21 in the French class, and 12 in the German class. There are 9 in both Spanish and French, 5 in both Spanish and German, and 5 that are in both French and German. There are 3 students taking all 3 classes.

Required:
a. If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
b. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
c. If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

Answers

Answer:

0.55 ; 0.32 ; 0.7

Step-by-step explanation:

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes :

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

A.) P(not taking any language class).

Required outcome = 55

Total possible outcomes = 100

= 55 / 100 = 0.55

B.)

P(taking exactly one language class)

(S only + F only + G only) / 100

(17 + 14 + 1) / 100

= 32/100

= 0.32

C.)

Atleast 1 is taking a language class out of 2 selected

Possibilities :

(taking and not taking) ;

(not taking and taking) ;

(taking and taking)

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99) = 0.7

how many hundred billions in the number 432,845,979,484

Answers

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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give brailist but help me fast

give brailist but help me fast

Answers

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7

Which point on the number line below represents a value of 0.75? ​

Which point on the number line below represents a value of 0.75?

Answers

Answer:

Point C

Step-by-step explanation:

Each of the lines are counted by 5 and if counting carefully, C would be 0.75, or, 3/4

Point C on the number line below represents a value of 0.75.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

To find point on the number line which represents a value of 0.75..

Now, We get;

Point A = 0.3

Point B = 0.55

Point C = 0.75

Thus, Point C on the number line below represents a value of 0.75.

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can someone please help

can someone please help

Answers

Answer:

I'm Sure You Got The Answer Your Smart

I WILL GIVE BRAINLIST

7/4+1/2+5/3+1/3+1/4+1/2=

Answers

Answer:

5

Step-by-step explanation:

Group:

1/2+1/2+1/3+5/3+1/4+7/4

1/2+1/2= 1

1/3+5/3=2

1/4+7/4=2

1+2+2=5

Hope this helps plz hit the crown :D


A florist makes centerpieces.
18 roses in each centerpiece.
best way to use compatible numbers to
estimate the number of roses the florist
needs for 24 centerpieces?
A 10 x 25 = 250
B 20 x 25 = 500
D
25 X 30 = 750
30 × 30 = 900

Answers

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of roses in one centerpiece = 18 roses.

The number of roses in 24 centerpieces.

= 24 x 18

= 432

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Thus,

The best compatible number to use for 24 x 18 = 432.

24 can be written as 25

18 can be written as 20.

So,

20 x 25 = 500

Option B is the correct answer.

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please help me with this please i need the amswers for today,​

please help me with this please i need the amswers for today,

Answers

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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am I right for part A. And please help me with B

am I right for part A. And please help me with B

Answers

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

How to obtain the surface area?

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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design and implement an application that reads in a set of values in the range of 1 to 100 (yes, you should error check for this) and then creates a chart showing how often the values appeared. the chart should look like the one below and should show how many values fell in the range of 1-10, 11-20, 21-30, and so on.

Answers

Sample Output: Code to copy: //Import the required package. import java.util.Scanner; //Define the class Main. class Main { //Start the execution of the main() method.

Code of Origin:

Origin C is a programming language that is ANSI C compatible and also incorporates C++ and C# features. The majority of Origin objects can be accessed programmatically thanks to built-in C++ classes. The NAG C Library's extensive collection of numerical computational routines is also included.

C, a replacement for the programming language B, was initially created by Ritchie at Bell Labs between 1972 and 1973 to create utilities for Unix. It was used to re-implement the Unix operating system's kernel. C increasingly gained popularity in the 1980s.

import java.io.*;

import java.util.Scanner;

public class histogram

{

   public static void main(java.lang.String[] args)

   throws IOException

   {

       Scanner scan = new Scanner (System.in);

       final int min = 1;

       final int max = 10;

       final int limit = 10;

       int[] a = new int[max];

       for (int b = 0; b < a.length; b++)

       {

           a[b] = 0;

       }

       System.out.println("Enter Number between 1 and 100: \n (Or press 0 to stop)");

       int number = scan.nextInt();

       while (number >= min && number <= (limit*max) && number != 0)

       {

           a[(number-1)/limit] = a[(number - 1 ) / limit] + 1;

           System.out.print("Please enter a value:");

           number = scan.nextInt();

       }

       System.out.println("\n__Histogram__");

       for (int y = 0; y < a.length; y++)

       {

           System.out.print("   " + (y * limit + 1) + " - " + (y + 1) * limit + "\t");

           return;

       }

       for (int z = 0; z < a[b]; z++)

       {

           System.out.print("*");

       }

       System.out.println(0);

   }

}

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Domain:
O-85x<0 or 0 O-85x50or 0≤x≤2
O 1 O 2

Domain:O-85x&lt;0 or 0O-85x50or 0x2O 1O 2

Answers

The domain and the range of the piecewise function in this problem are given as follows:

Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.

How to obtain the domain and range of a function?

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.

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choose the answer in correctly expressed this ratio in fraction form 5 to 6

Answers

Answer:

Example: Simplify the ratio 6 : 10. The factors of 6 are: 1, 2, 3, 6; The factors of 10 are: 1, 2, 5, 10; Then the greatest common factor of 6 and 10 is 2; Divide both terms by 2; 6 ÷ 2 = 3; 10 ÷ 2 = 5; Rewrite the ratio using the results. The …

Step-by-step explanation:

In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.

Answers

Using the law of sines, we have:

$dfrac{sinangle W}{320}=dfrac{sin169°}{740}$

Multiplying both sides by 320, we have:

$sinangle W=dfrac{320sin169°}{740}$

Using a calculator, we find that $sinangle W approx 0.7555$. Taking the inverse sine of both sides, we have:

$angle W approx sin^{-1}(0.7555)$

There are two possible values for $angle W$: $angle W approx 49.5°$ and $angle W approx 130.5°$ (since $sin^{-1}(0.7555) approx 49.5°$ and $angle W = 180° - sin^{-1}(0.7555) approx 130.5°$).

Therefore, the two possible values of $angle W$ are approximately 49.5° and 130.5°.

If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?

Answers

Answer:

x=12

Step-by-step explanation:

16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12

Roberto bought a $340,000 house, paying 20% down, and financing the rest at 5% interest for 30 years. Her
monthly payments are $1460.15. How much will he really pay for her $340,000 house?
Roberto will pay a total of $
for the house.

Answers

Answer:

Therefore, Roberto will pay a total of $593,654 for his $340,000 house, including $253,654 in interest over the 30-year period.

Step-by-step explanation:

Roberto paid 20% down on a $340,000 house, which is 0.20 x $340,000 = $68,000.

So, the amount he financed is $340,000 - $68,000 = $272,000.

Roberto financed the $272,000 at 5% interest for 30 years, making monthly payments of $1460.15.

To find the total amount he will pay for the house, we need to calculate the total amount he will pay over the 30-year period.

First, we can calculate the total number of payments he will make over the 30 years by multiplying the number of years by the number of payments per year:

30 years x 12 months/year = 360 payments

The total amount Roberto will pay is the sum of all the monthly payments he makes over the 30 years:

Total amount = 360 x $1460.15 = $525,654

However, this includes both the principal amount of $272,000 and the interest he will pay over the 30 years. To find out how much he will pay in interest, we can subtract the principal from the total amount:

Total interest = $525,654 - $272,000 = $253,654

Therefore, Roberto will pay a total of $593,654 for his $340,000 house, including $253,654 in interest over the 30-year period.

which region represents the solution to the given systems of inequalities?
{-0.5x+y>=3
{1.5x+y<=-1
- A
- B
- C
- D​

which region represents the solution to the given systems of inequalities?{-0.5x+y&gt;=3{1.5x+y&lt;=-1-

Answers

Answer: A

Just conformation

Region A is represent the solution of the given system of inequalities.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We have to solve a system of inequalities.

The first equation given is -0.5x+y ≥ 3

Which equation forms a straight line going upwards from left to right which intersects x-axis at -6.

The second equation given as 1.5x+y ≤ -1

This equation give a straight line going downwards from left to right intersecting x=axis near -1

The solution of the equations is given by the region which is overlapping, A.

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In the graph the area below

In the graph the area below

Answers

Answer:

the answer is

it's 90°¢

pls vote me as a branliest

d D> 20 uestion 8 (1 point) 1. Which of the following represents a problem that could be solved using the inequality below?
35 + 12.50x > 500 .
Col has spent $35 on baseball cards. If he spends $12.50 on a set of baseball cards each teek, how many weeks will Cal have spent more than $500?
Wesseling baby bows. She charges $12.50 per bow and spends $35 on Supplues. How many bows will Mrs. Raleigh need to sell in order to earn at least $500? .
Both a and B can be solved using the inequality,
neither a nor b can be slowed using the inequality.​

Answers

Neither A nor B can be solved using the inequality.

This is so because 35 + 12.50x> 500 implies the existence of a fixed amount (35) plus a variable amount (12.50) that multiplied by an unknown value (x) must be greater than 500.

Thus, as neither of the two options speaks of a fixed amount that is added to a variable amount, neither of the two options is correct.

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HELP I NEED THIS DONE BY 2 IT IS ALMOST 1 SOMEONE PLEASE ILL GIVE BRANILY!!!!!! Sally recieved a bank statement reporting the recent changes to her account. The statement showed and overall increase in the account balance of 3,325.67 . During the time shown on the statement, Sally was paid 4 times and withdrew a total of 5,419.65 to cover all of her bills and expenses. How much (x) is each of Sallys paychecks?

Answers

The value of each pay check is $2,186.33.

What is the value of each pay check?

The account balance would increase by the value of the pay checks and reduce by the value of the withdrawals

Account balance = +pay checks - withdrawals

$3,325.67 = +4x  - $5,419.65

In order to determine the value of x, take the following steps:

Combine and add similar terms:

$3,325.67 + $5,419.65  = 4x

$8,745.32 = 4x

Divide both sides of the equation by 4

x = $8,745.32 / 4

x = $2,186.33

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The two chords shown in the circle intercept the given arcs.
What is the measure of MPN?

The two chords shown in the circle intercept the given arcs.What is the measure of MPN?

Answers

Answer:

Option (2)

Step-by-step explanation:

If two chords intersect inside the circle, measure of angle between them is half of the sum of intercepted arcs.

From the picture attached,

m∠MPN = \(\frac{1}{2}[m(\text{arc MN}) + m(\text{arc OL})]\)

              = \(\frac{1}{2}(40+110)\)

              = 75°

Therefore, Option (2) will be the answer.

PLEASE HELLLLP!!!! If x+y−z=8 and x−y+z=12, then x=

PLEASE HELLLLP!!!! If x+yz=8 and xy+z=12, then x=

Answers

Answer:

(C) 10

Step-by-step explanation:

x+y−z=8

Subtract y from both sides

x-z= -y+8

Add z to both sides

x= -y+z+8

Subtract 8 from both sides

x-8= -y+z

x−y+z=12

Add y to both sides

x+z=12+y

Subtract z from both sides

x=y-z+12

Subtract 12 from both sides

x-12=y-z

Multiply both sides by -1

-x+12= -y+z

Combine equations:

x-8= -x+12

Add x to both sides

2x-8+12

Add 8 to both sides

2x=20

Divide both sides by 2

x=10

The answer is (C) 10.

If x= 2-√3, then x + 1/x equals a) 4 b) 2+√3 c) 4-√3 d) 1/(2+√3)​

Answers

Answer:

Step-by-step explanation:

To find x + 1/x, we need to first find the value of x.

Given, x = 2-√3

To simplify x + 1/x, we need to find the value of 1/x.

1/x = 1/(2-√3)

Multiplying the numerator and denominator by the conjugate of the denominator, we get:

1/x = (2+√3)/(2-√3)(2+√3)

1/x = (2+√3)/(4-3)

1/x = 2+√3

Now, substituting the values of x and 1/x, we get:

x + 1/x = (2-√3) + (2+√3)

x + 1/x = 4

Therefore, the answer is option a) 4.

At a football stadium, 10% of the fans in attendance were teenagers. If there were 230 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:2300

Step-by-step explanation:

Answer:

2300

Step-by-step explanation:

we can set up a proportion:

n = not teens

.10/230 = .90/n

cross-multiply:

.10n = 207

n = 2070

now we can add the number of teenagers to get the total number of people:

2070+230 = 2300

The line models the cost of renting a kayak. Write an equation in​ slope-intercept form for the​ line, where x is the number of hours the kayak is rented and y is the total cost of renting the kayak.

The line models the cost of renting a kayak. Write an equation in slope-intercept form for the line,

Answers

In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

What is number?

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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a small library has 4 times as many story books as puzzle books. if it has 32 puzzle books, how many story books does it have?

Answers

1048576 story books. because you do 32 to the power of 4

Find the surface area of this rectangle prism

Find the surface area of this rectangle prism

Answers

ANSWER :160
EXPLANATION:

Answer:

Step-by-step explanation:

formula: SA = 2(wl+hl+hw)

SA = 2(wl+hl+hw)

SA = 2(12x16 + 10x16 + 10x12)

SA = 2(192 + 160 + 120)

SA = 2(472)

SA = 944

ANSWER: 944 square inches

Can someone help me out?

Can someone help me out?

Answers

Answer

B and E

Explanation

Answer:

E is the only one between the 2 numbers. Although, B is partially correct. It is the same thing as 50.60, so its your choice to choose it.

HELP PLEASE IM GIVE BRAINLIST

HELP PLEASE IM GIVE BRAINLIST

Answers

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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Use add or sub formula to write as trig fun tho on

Use add or sub formula to write as trig fun tho on

Answers

\(\frac{tan(43)-tan(18)}{1+tan(43)tan(18)}\)

The formula to write this function is going to be:

\(tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)*tan(b)}\)

Substituing:

\(\frac{tan(43)-tan(18)}{1+tan(43)tan(18)}=tan(43-18)\)

In this case a= 43 and b=18:

\(tan(43-18)=tan(25)=0.466\approx0.5\)

The answer is: tan(25).

Other Questions
A 2-year zero-coupon bond with $100 principal is trading at $95.00. Price of a 2-yearcoupon bond with annual coupon of $10 and principal of $100 is $104.00.(a) What is the 2-year spot rate from t = 0 to t = 2?(b) What is the spot rate per year from t = 0 to t = 1? Write the final draft of your article. You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , Your final draft should be written in complete sentences in Spanish and include the following requirements:What to include in your final draft HintTitle: Add a title. Remember:Include the name of the city and country you traveled to.Sentence one: Describe how long ago you traveled and where. Remember:Use hace + specific time frame + que + verb.Include the transportation method you used to travel.Sentence two: Describe how you planned for and/or prepared for this trip and who went with you. Remember:Use one -car, -gar, or -zar verb in the preterite or imperfect tense.Use conmigo.Sentence three: Explain what made you travel to the country selected. Remember:Use one chameleon verb.Sentence four: Describe how you preferred to purchase the trip. Remember:Use one stem-changing verb in the preterite.Sentence five: Describe the day of the trip. Remember:Use one regular verb in the preterite or imperfect tense.Sentence six: Describe how long it took to arrive at the destination. Remember:Use para.Use one regular or irregular verb in the preterite tense. Find the values of x and y Which disjunction is always true for any real number x? A number, x, is less than 0 or greater than 1. A number, x, is less than 0 or greater than 0. A number, x, is greater than 5 or less than 10. A number, x, is greater than 5 or less than 1. Which of the following source locations requires you to check out the organization first because the source may or may not be reliable?A) .comB) .eduC) .govD) .org what type of security communication effort focuses on a common body of knowledge? BRAINLIEST!!!!please help-Imagine that the company you work for doesnt have a set policy for what its employees do with their company-issued laptops. You have found out that some coworkers use their computers to download music and movies and create their own personal projects for other clients. Do you think this is appropriate behavior? What sort of ethical issues could arise from this policy? What sort of wording would you recommend for a new policy about laptop usage? write a equation for 7 less than x equals 23 how is graph of G(x)=-1/4F(x) related to graph of F? Which point is collinear to the point (0, 0)? A) (1,0) OB) (3,2) OC) (4,1) OD) (1,3) What does mol/L mean? what is this number in standard form?5.75 x 10^9 A +6.33 uC charge q1 is attracted by a force of 0.115 N to a second charge q2 that is 1.44 m away. What is the value of q2? Two teams of scientists hiked 10 kilometers to different study sites. Before their hike, the Valley team ate a lunch of mostly protein. The Mountain team ate a lunch of a mix of starch and protein, but hiked at high altitude, where there is much less oxygen. Which team probably had an easier time hiking? 22. pacheco inc. issued convertible bonds 10 years ago. each bond had an initial term of 30 years, had a face value of $1,000, paid a coupon rate of 11%, and was convertible into 20 shares of pacheco stock, which was selling for $30 per share at the time. since then the price of pacheco shares has risen to $65 and the interest rate has dropped to 8%. what is the least that each of the bonds is worth today? comment on the function of the bond valuation procedure for convertibles Calculate, for the judge, how fast you were going in miles per hour when you ran the red light because it appeared Doppler-shifted green to you. Take red light to have a wavelength of 650 nm and green to have a wavelength of 550 nm. are bryophytes less adapted to hot and dry climates than gymnosperms TRUE/FALSE Define the following: - Chapter 1 - What Is a Marketing Channel? - The Changing Channel Landscape - Marketing Channel Actors - Manufacturers: Upstream Channel Members - Intermediaries: Middle-Channel Members - Wholesalers - Retail Intermediaries - Specialized Intermediaries - End-Users: Downstream Channel Members - Combinations of Channel Members - Online Channels - From a Multi-Channel to an Omni-Channel World - Distinction Between Multi-Channel and Omni-Channel Marketing Strategies: Trends Driving the Shift - Trend 1: Channel Participants Operate in a Connected World - Trend 2: Cross-Channel Shopping - Trend 3: Altered Shopping Norms - Trend 4: Move to Services - Trend 5: Targeted Promotions and Customer Insights - Channel Strategy Framework Sharks protect producers (sea grasses)byacting as abiotic limiting factorsallowing populations of sea grass consumers(organisms that eat sea grass) to growuncontrollablykeeping the populations of sea-grass.consumers in check (controlled) what is the purpose of horizontal analysis, vertical analysis, and common-sized financial statements? why is it important to show comparative financial statements as is required by the securities exchange commission for public companies?