Brian Steve and Rita invested a total of $24,000 in a business each person invested the same amount unfortunately in the first quarter they suffered a loss of $4500 which they shared equally by what amount as each individual investment change due to the loss

Answers

Answer 1

Answer:

Each individual investment changed by $2250 due to the loss.

Step-by-step explanation:

It is given that Brian Steve and Rita invested a total of $24,000 in a business.

Each person invested the same amount. So amount invested by each person is

[tex]\frac{24000}{2}=12000[/tex]

Therefore invested by each person is $12000.

They suffered a loss of $4500, which they shared equally. Each individual  suffered a loss of

[tex]\frac{4500}{2}=2250[/tex]

Therefore Brian Steve and Rita suffered a loss of $2250 each. So, each individual investment changed by $2250 due to the loss.

Answer 2

Answer:

1500

Step-by-step explanation:


Related Questions

Tom and his brothers caught 100 fish on a week-long fishing trip. the total weight of the fish was 239 pounds. part 1 out of 3 enter the expression that will find the weight of one fish. assume that the weight of each fish is the same. the expression that gives the weight of one fish is ÷ .

Answers

Answer:

Expression that gives weight of 1 fish: [tex]\frac{239}{100}[/tex].

The weight of 1 fish is 2.39 pounds.

Step-by-step explanation:

We have been given that Tom and his brothers caught 100 fish on a week-long fishing trip. The total weight of the fish was 239 pounds.

Assuming that the weight of each fish is the same, we can find weight of 1 fish by dividing the total weight of fish by total number of caught fish.

[tex]\text{The weight of 1 fish}=\frac{239}{100}[/tex]

Therefore, the expression that gives the weight of 1 fish is [tex]\frac{239}{100}[/tex].

Upon dividing 239 by 100 we will get,

[tex]\text{The weight of 1 fish}=2.39[/tex]

Therefore, the weight of 1 fish is 2.39 pounds.


You need about one and a half hours to set up a computer workstation. At this rate how many hours should it take you to set up seven of these workstations?

Answers

Answer: About 10.5 hours



I NEED HELP NOW WHAT IS THE ANSWER PLZ HELP 40 POINTS

Answers

Answer:

B 8 n^18

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length of a square

64 n^36 = s^2

Take the square root of each side

sqrt(64 n^36 )= sqrt(s^2)

Sqrt(ab) = sqrt(a) sqrt(b)

sqrt(64) sqrt(n^36) = s

8 n^18 =s

plsplsplsplsplsplspls help!!!!!!!!

Answers

Answer:

1. My estamite, close to -1

2. 1.5

3. Remote interior angles

4. 84

5. 60 degrees

Step-by-step explanation:


Simplify: (7+2a)·3–20 =

Answers

Final answer:

The expression (7+2a)·3−20 simplifies to 1 + 6a. You distribute the 3 to the terms inside the parentheses and then subtract 20 from 21 to combine like terms.

Explanation:

To simplify the algebraic expression (7+2a)·3−20, we start by distributing the 3 to both terms inside the parentheses.

7·3 + 2a·3 − 20 = 21 + 6a − 20

Next, we eliminate terms wherever possible by combining like terms. We subtract 20 from 21, which gives us:

21 − 20 + 6a = 1 + 6a

So, the expression simplifies to:

1 + 6a

We can check if this is reasonable by substituting a value for 'a'. If 'a' is 3, for example, then:

1 + 6×3 = 1 + 18 = 19

Which is the result we would expect after simplifying the original expression with 'a' being 3.

Yuki bought a pound of confetti for \$12$12. What is the price, in dollars, per ounce of confetti? There are 1616 ounces in 11 pound.

Answers

Answer:

$0.75

Step-by-step explanation:

We have been given that Yuki bought a pound of confetti for $12.

To find the price of per ounce of confetti, we will divide the total price of 1 pound confetti by number of ounces in 1 pound.

1 pound = 16 ounces.    

Let us divide 12 by 16 to find the price of confetti per ounce.

[tex]\text{Price of per ounce confetti}=\frac{12}{16}[/tex]

[tex]\text{Price of per ounce confetti}=\frac{3}{4}[/tex]

[tex]\text{Price of per ounce confetti}=0.75[/tex]

Therefore, the price of per ounce confetti is $0.75.


solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
f(x)=x²+7x+12/-x²-3x+4

Answers

[tex]x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}[/tex]

[tex]\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}[/tex]

What is the slope of the line through (-7,-2)(−7,−2) and (-6,7)(−6,7)? Choose 1 answer: Choose 1 answer: (Choice A) A -\dfrac19− 9 1 ​ (Choice B) B -9−9 (Choice C) C 99 (Choice D) D \dfrac19 9 1 ​

Answers

[tex]\bf (\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-(-2)}{-6-(-7)}\implies \cfrac{7+2}{-6+7}\implies \cfrac{9}{1}\implies 9[/tex]

please help on this one?

Answers

Answer:

D

Step-by-step explanation:

The factorization of these is ...

A: F(x) = (x -3)(x +3)² . . . . 3 real roots, one with multiplicity 2.

B: F(x) = (x -3)³ . . . . 3 real roots, one with multiplicity 3.

C: F(x) = (x +3)³ . . . . 3 real roots, one with multiplicity 3.

D: F(x) = (x +3)(x² +9) . . . . 1 real root, 2 complex roots.

_____

Note

A graphing calculator is helpful in factoring these. The quadratic factor of option D was found using synthetic division, after the real root was found using the graphing calculator.



Which equation represents a proportional situation?

y = – 3x + 4

y = 3x – 12

y = –2x + 23

y = 9x

Answers

Answer:

option D is correct.

y=9x represents a proportional situation

Step-by-step explanation:

If two quantities are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other i.e,

y = |k|x ;  where |k| is constant proportionality.

By definition :

y =9x  where k =9 is constant ,  represents a proportional relationship.

Answer:

The correct answer option is y = 9x.

Step-by-step explanation:

From the given equations as the possible answer options, y = 9x is the correct answer which represents a proportional situation.

Two values (variables in this case) are said to be proportional if they change in a way such that there is a constant multiple multiplied to one of the values.

Here, in the equation y = 9x, y and x are the two variable and 9 is the constant  multiple.

15 Points!!!!!!!!! Mike attends basketball practice sessions every week. The coach assesses his progress at the end of each session by asking him to attempt 10 free throws. Prior to starting the sessions, Mike missed 6 out of 10 free throws. At the end of the first practice session, Mike missed 5 of his 10 free throws. At the end of the second session, he missed 4 of his 10 free throws. This constant decrease in the number of missed throws continues until Mike does not miss any of his 10 free throws at the end of a practice session. If the number of free throws Mike misses is dependent on the number of practice sessions he has attended, select the appropriate domain that describes this relationship.

A. D = [0, 10]
B. D = {0, 1, 2, 3, 4, 5, 6}
C. D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
D. D = [0, 6]

Answers

Answer:

In the case of Mike's free throws, the Domain that describes this relationship can be either B or D.

Step-by-step explanation:

In the case of a relationship that represents a 'constant' increase or decrease, we know that there will be an independent and dependent variable.  The independent variable is our 'x' value and the dependent variable is our 'y' value.  In this case, they tell us that the number of free throws Mike misses is dependent on the number of practices sessions he has attended.  Therefor, 'x' would represent the number of practices and 'y' would represent the number of missed free throws. At the start, before practices or an 'x' value of 0, Mike, misses 6 free throws.  He continues to decrease his missed throws by for each practice, until the sixth practice where he misses none.  So, the 'x' values would be 0, 1, 2, 3, 4, 5, and 6.  This can be shown by letter 'B', which includes all numbers, or letter 'D', which represents all numbers between, and including 0 and 6.

Answer:

I'd choose B since it includes all of the numbers.

Step-by-step explanation:

Matt has 12 balloons that he wants to give to 4 friends. He wants each friend to have the same number of balloons. Select the three statements that describe how Matt should give the balloons to his friends.

Answers

Answer:

Step-by-step explanation:

Math has 12 ballons.

If we divide 12 by 4 friends we got 3, so we can have those situations:

He can give 3 to each friend, and he will not have any.

Also, he can give 2 for each friend , and he will have 4 more.

Also, he can give 1 for each friend, and he will have 8 more.

Matt has 12 balloons that he wants to give to 4 friends.

He wants each friend to have the same number of balloons.

Select the three statements that describe how Matt should give the balloons to his friends.

Each friend gets 124 balloons.

Each friend gets 12÷4 balloons.

Each friend gets 3 of the 12 balloons.

I got this correct and I also added screen shots that I got it correct

Suppose that Spain has a workforce of 22.85 million people, and that the average salary for each person is €24,200 annually. Spain has imports of €290.85 billion and exports of €200.13 billion. If the Spanish government levies a 7% tariff on exports, an 18% tariff on imports, and a 21% income tax, how will the revenue gained from tariffs and the revenue gained from income tax compare?

Answers

D. The government will earn €49.7616 billion more from income tax than from tariffs.

Step-by-step explanation: According to E2020

Answer:

The answer is D: The government will earn €49.7616 billion more from income tax than from tariffs.

Step-by-step explanation:

MATH HELP PLEASE I WILL GIVE 82 POINTS

Answers

Angle FEG = 90 degrees based on the square marker symbol in the diagram.

Angle ABE = 90 degrees as well because BEF is 90 (supplementary to FEG) and because ABE and BEF are alternate interior angles

Angle D is 40 degrees. Why? because triangle DEG is a reflection of triangle FEG (this can be proven using SAS)

Angle EGF is 50 degrees. With any right triangle, the acute angles add to 90, so 40+50 = 90, or put another way 90-40 = 50

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

What is the equation of the line represented by the table of values below?

A. Y = 3x - 2
B. Y = -3x + 2
C. Y = 3x + 2
D. Y = -3x - 2

Answers

Answer:


Step-by-step explanation:


The answer would be B, Y=-3x + 2

Which is a coordinate rule for the translation of f(x) to g(x)?




(x, y) → (x – 4, y)


(x, y) → (x, y – 4)


(x, y) → (x, y + 4)


(x, y) → (x + 4, y)

Answers

Final answer:

The coordinate rule for a translation tells how to move each point in f(x) to create g(x). Different rules correspond to different shifts: left, down, up, or right by 4 units.

Explanation:

The coordinate rule for a translation indicates how to move each point in a graph to create a new function. For example, a rule of '(x, y) → (x – 4, y)' would indicate that every point of the function f(x) would move 4 units to the left to create the new function g(x). Similarly, the coordinate rule '(x, y) → (x, y – 4)' would move every point 4 units down, '(x, y) → (x, y + 4)' would move every point 4 units up, and '(x, y) → (x + 4, y)' moves every point 4 units to the right. Depending on which direction you want to move the function f(x) in to create g(x), any of these coordinate rules could be valid.

Learn more about coordinate translation here:

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Final answer:

A coordinate rule for a transformation tells us how to move each point in the plane. The four provided rules indicate left, down, up, and right translations respectively. The specific translation from f(x) to g(x) would depend on their exact positions.

Explanation:

The question is asking about the coordinate rule for the translation of one function to another, specifically f(x) to g(x) in a two-dimensional plane. A coordinate rule for a transformation tells us how to move each point in the plane.

For example, the rule (x, y) → (x – 4, y) means that we translate each point 4 units to the left. The rule (x, y) → (x, y – 4) moves each point 4 units down. (x, y) → (x, y + 4) moves each point 4 units up, and (x, y) → (x + 4, y) moves each point 4 units to the right.

The exact translation from f(x) to g(x) would depend on the specific position and movements of these functions on the coordinate grid, which is not provided in the question.

Learn more about Coordinate Transformation here:

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What is the quotient (3x2 + 4x − 15) ÷ (x + 3)?

Answers

Answer: (3x-5)

Step-by-step explanation:

first we set it up x+3[tex]\sqrt{3x^2 +4x-15}[/tex]

we want to get rid of 3x^2 first so, x*3x= 3x^2

then we subtract x+3[tex]\sqrt{3x^2 +4x-15}[/tex]

distribute :3x*3=9x                 - (3x^2 +9x)

                                                   0 -5x

now we want to get rid of -5x, we use -5

-5(x+3)=-5x-15                x+3[tex]\sqrt{-5x-15}[/tex]

                                                           -(-5x-15)

                                                                  0, so reminder of 0


There are 8 brooms and 6 mops in a janitors closest. What is the ratio of the number of mops to the number of brooms

Answers

Answer:

The ratio of mops to brooms is 3:4

Step-by-step explanation:

To find this, we first need to simply plug in the numbers.

Mops:Brooms

6:8

Now we can simplify by noticing that both are divisible by 2

3:4

Answer:

IT SAID 3/7 FOR ME!

HDJKSHFNDSKLFDSFDS

Step-by-step explanation:

Please answer this question !! 98 points and brainliest!!

Answers

Answer:

x > -3

Step-by-step explanation:

5x+ 7 > 2(x-1)

Distribute the 2 on each side

5x+7 > 2x -2*1

5x+7 > 2x-2

Subtract 2x from each side

5x-2x +7 > 2x-2x-2

3x + 7>-2

Subtract 7 from each side

3x+7-7>-2-7

3x>-9

Divide by 3 on each side

3x/3 >-9/3

x > -3

Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V

Answers

Answer:

A) h = 3V/ πr^2

Step-by-step explanation:

V = 1/ 3 πr^2h

Multiply each side by 3

3V = 3*1/ 3 πr^2h

3V = πr^2h

Divide each side by  πr^2 to isolate h

3V /πr^2 = πr^2/πr^2 h

3V /πr^2 =  h

The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.

How does the average rate of change between Years 1 and 5 compare to the average rate of change between Years 11 and 15?

The average rate of change is about 13
as fast in Years 1 to 5.

The average rate of change is about 3 times as fast in Years 1 to 5.

The average rate of change is about 12
as fast in Years 1 to 5.

The average rate of change is 2 times as fast in Years 1 to 5.

Answers

Answer: (B) 3 times as fast

Step-by-step explanation:

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

[tex]\dfrac{f(5) - f(1)}{5 - 1} = \dfrac{73.8-112.5}{5-1} = -\dfrac{38.7}{4} = -9.675[/tex]

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

[tex]\dfrac{f(15) - f(11)}{15 - 11} = \dfrac{39.2-25.7}{15-11} = -\dfrac{13.5}{4} = -3.375[/tex]

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

A new sports store recently opened downtown that specializes in baseball cards. Delmar has over 200 baseball cards in his collection and plans to see how much money he can get for some of his cards. After looking through Delmar's cards, the dealer tells Delmar that 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. The rest of the cards can be sold somewhere in the range of $3 to $10 each. If Delmar sells all of the cards worth $23.50 and $32.50, how much money would Delmar receive?

Answers

Answer: 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. This is all he wants to sell so the answer would be (23.5 x 15) + (27 x 32.5)

$1230

Please mark brainliest.

Step-by-step explanation:


PLEASE SOMEONE HELP NOW 30 points!!!!!!!!!!!

Answers

The answer to this question is -6.

To solve this problem, we need to understand certain properties about exponents.  To begin, let's remember that when we raise a number, the base, in this case y, to a certain power that is then raised to another power, we multiply these two exponents together when evaluating.  Another important concept that is vital to understanding this problem is that negative exponents are positive exponents in the denominator of fractions.  For example, y^-4 = 1/y^4.

Using this knowledge, we know that b * 4 must equal 24 (because raising a power to another power implies multiplication).  Therefore, we know that the magnitude of the variable b must be six.  However, we must also recognize that y^24 is in the denominator of the answer, which means that one of the exponents of the variable y must be negative.  Since the exponent 4 is not negative, the exponent of b, or 6, must be.

Therefore, your answer is -6.

If you do not understand my explanation, feel free to ask me any clarifying questions.

Hope this helps!

Answer:

-6

Step-by-step explanation:

(y^b)^4 = 1/ (y^24)


We know (a^b)^c = a^(b*c)

and 1/ y^a = y ^ -a

y ^(4b) = y ^ (-24)

When we have the same bases, the exponents must be the same

4b = -24

Divide by 4

4b/4 = -24/4

b =-6

Which scenario would make someone vulnerable to identity theft? A. including a Social Security number on an income tax form B. missing monthly payments on a car loan for three months C. opening a credit card account to purchase a household appliance D. using a public library computer to access confidential bank information

Answers

Answer:

The correct answer is option D

Step-by-step explanation:

The use of personal information though a public computer can make personal information prone to adulteration and misuse as identity theft

When a Social Security number is mentioned on an income tax form it remains private and does not get exposed. Like wise missing monthly payments for a car loan has no relevance to data stealing. In case of opening a credit card account, the information provided are secured with the availed banking service

Answer:

Randell uses a computer at a public library to view his bank account online.

Step-by-step explanation:

Using a publicly accessible computer to view sensitive information can lead to that information being divulged to others using the same computer.

Simplify -4m + 5n - 2 - 3m + 3n + 7.
A) -7m + 8n - 9
B) -7m + 8n + 5
C) -7m2 + 8n2 - 9
D) -m + 8n - 9

Answers

-4m + 5n - 2 - 3m + 3n + 7    combine like terms

= (-4m - 3m) + (5n + 3n) + (-2 + 7)

= -7m + 8n + 5 → B)

Two less than three– fourths of a number is ten. What is the number?

A. 10 2/3
B. 13 1/3
C. 15 1/3
D. 16

Answers

Answer:

Option D. 16

Step-by-step explanation:

Let

x ----> the number

we know that

The linear equation that represent this problem is equal to

[tex]\frac{3}{4}x-2=10[/tex]

Solve for x

Multiply by 4 both sides

[tex](4)*\frac{3}{4}x-2*4=10*4[/tex]

[tex]3x-8=40[/tex]

Adds 8 both sides

[tex]3x-8+8=40+8[/tex]

[tex]3x=48[/tex]

Divide by 3 both sides

[tex]3x/3=48/3[/tex]

[tex]x=16[/tex]

therefore

The number is 16

I have $4.85 in my pocket what fraction in simplest form represents the amount of money I have in my pocket

Answers

Answer:97/20


Step-by-step explanation:


If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

Answers

Answer:

Its the graph at the bottom right.

Step-by-step explanation:

Adding f(x) and g(x) we get

-x^2 + 3x + 5 + x^2 + 2x

= 5x + 5 = (f+ g)(x)

This has a slope of 5  and a y-intercept of 5,  so its  bottom right graph.

(f + g)(x) is a composite function of f(x) and g(x), and it is represented by graph (c)

The functions are given as:

[tex]\mathbf{f(x) = -x^2 + 3x + 5}[/tex]

[tex]\mathbf{g(x) = x^2 + 2x}[/tex]

To calculate (f + g)(x), we make use of the following formula

[tex]\mathbf{(f + g)(x) = f(x) + g(x)}[/tex]

So, we have:

[tex]\mathbf{(f + g)(x) = -x^2 + 3x + 5 + x^2 + 2x}[/tex]

Collect like terms

[tex]\mathbf{(f + g)(x) = x^2-x^2 + 3x+ 2x + 5 }[/tex]

Evaluate the like terms

[tex]\mathbf{(f + g)(x) = 5x + 5}[/tex]

The above function is a linear function.

A linear function is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where m represents the slope, and c represents the y-intercept

So, by comparison:

[tex]\mathbf{m = 5}[/tex]

[tex]\mathbf{c = 5}[/tex]

The graph that has a slope of 5, and a y-intercept of 5 is graph (c)

Hence, graph (c) represents (f + g)(x)

Read more about composite functions at:

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Given: f(x) = x2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.

Answers

Answer:

There are 8 roots

1,2,5,10,-1,-2,-5,-10

Step-by-step explanation:

The rational root theorem says take all the factors of p over all the factors of q

p = 1,2,5,10

q = 1

roots ±  1,2,5,10

          --------------------

          1

roots ±1, ±2, ±5,±10

What is the equation of the line that contains the point (3,-1) and has the same slope as the the line y=1/3x+5

Answers

Answer:

y = 1/3x - 2

Step-by-step explanation:

Line y = 1/3x + 5 has slope 1/3, so the line we are looking for also has slope 1/3.

y = 1/3x + b

We know a point, so we plug in the values of x and y, and we solve for b.

y = 1/3x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

Now that we know b, the equation is:

y = 1/3x - 2

Other Questions
Which of the following about independent executive agencies is not true?Some are run like large businesses.They handle specific concerns of the government.They advise the President on policy matters.Some provide services to the public. What was the purpose of the Florida Minimum Wage Act? Solve for x: 5x > -20 PLEASE PLEASE HELP THE MATCH There never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match. Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble. In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar. How does the author develop the idea that relying on nature was problematic? Please respond in three to five complete sentences, using evidence from the text to support your answer. For all values of x, y, and z, which expression is equivalent to 4x + 4y + 4z? A)4(x + y + z) B)4y(x + z) C)4(x + 4y + 4z) D)12xyz Which inference can a reader make based on the information in the passage? The message Zimmermann wanted to send to von Bernstorff was very important. Count von Bernstorff was expecting the message. U-boats were designed to transport messages securely. Zimmermann wanted to reach out to the Mexican government for support. write the expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression. sec beta - cos beta.A.1-cos^2betaB.sin^2betaC.cos^2betaD.1E.sin beta tan beta I need help with numbers 7-9 please if f(x) = -4^x - 8 and g(x) = 5x + 6, find (f+g)(x) Mis hermanos _____ un perro y un gato.tenemostienentengotienes How did china influence vietnam when vietnam was considered the southern barbarians of china? The idea that logic and reason could be used to improve society and government was a common belief of Given:p: The bib is a bub.q: The bub is a bub.Which of the following is logically equivalent to /?If the bib is a bub, then the bub is a bab.If the bub is not a bab, then the bib is not a bub.If the bib is not a bub, then the bub is not a bab.If the bib is a bub, then the bub is not a bab. In the Declaration of Independence what did the swarm of officers do the colonist that was not right? Question 28The diagram below is representing what type of cell division? Describe the type of cells produced at the end of this process. Be sure to include the number of cells, haploid or diploid, and the genetic content between cells.4PointsAnswer 2-3 sentences (PLEASE HELP) Given X(4, -7). What are the coordinates of X" if X"=R----A. (-4, 7)B. (0,9)C.(-4,9)D.(0,-7) What is the name for runaway plant growth because of excess nitrogen There are 650 visitors to an art gallery on Friday. There are 10% more visitors on Saturday than on Friday. How many visitors are there on Saturday? Which structures are considered analogous? A water park offers a season pass for $64 per person which includes freeadmission and free parking. Admission for the water park is $14.50 per person. Parking is normally $5 for those without a season pass. a. How many visits to the water park would you have to use forthe seasonpass to be a better deal?b. What would the total cost be for 3 visits with and without a season pass? Steam Workshop Downloader