help and I'll follow you ​

Help And I'll Follow You

Answers

Answer 1

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9


Related Questions

Which expression is equivalent to (3a)–2?

Answers

Answer:

[tex] \frac{1}{9a { }^{2} } [/tex]

Step-by-step explanation:

I hope this help if it doesn't I'm sorry

HELP QUICK PLS!!!

Which is the lateral area of the cone?
8V3 yd
-60°
O 1287 yd?
2567 yd?
O (64/3) + yd
O (128/2) + yd?

Answers

Answer:

A

Step-by-step explanation:

The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi

Find the length of the third side. If necessary, round to the nearest tenth.
4
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

5

Step-by-step explanation:

p=4 b=3 h=?

h²=p²+b²

=4²+3²

=16+9

h²=25

h=5

The polygons in each pair are similar. find the missing side length​

Answers

If polygons are similar ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]

Can you Help me on 23 ?

Answers

Answer:

x is 11

Step-by-step explanation:

[tex]{ \sf{ \sqrt{x + 5} - 3 = 1}} \\ { \sf{ \sqrt{x + 5} = 4 }} \\ { \sf{x + 5 = 16}} \\ { \sf{x = 11}}[/tex]

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex] \sqrt{x + 5} −3=1[/tex]

[tex] \sqrt{x + 5} = 1 + 3[/tex]

[tex] \sqrt{ {x} + 5 } = 4[/tex]

[tex] \sqrt{x + {5}^{2} } = {4}^{2} [/tex]

[tex]x + 5 = 16[/tex]

[tex]x = 16 - 5[/tex]

[tex]x = 11[/tex]

Hope it is helpful....

This is my last problem guys please help me

Answers

Answer:

Step-by-step explanation:

a) 9.5 feet above the ground

b)  max height at  of 34.5 feet  5 feet horizontal distance

c) 10.87 feet away

Divide. Write your answer as a fraction in simplest form.

−1/5÷20=

Answers

Answer:

-1/100

Step-by-step explanation:

Answer:-1/100

Step-by-step explanation:

What is the answer? Don’t give me 4.

Answers

Answer:

what?

Step-by-step explanation:

‎‎‎‎‎‎‎........................................................................

You didn’t attach a photo …

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 ¾ ​ feet long.
Each president's picture is 6 inches wide.

4. How would your answer change if the pictures were 10 inches wide? Explain.

Answers

Answer:

The number of pictures changes from 8 to 4.

Step-by-step explanation:

I assume the first question was the number of pictures that could be placed when the pictures are 6 inches wide.

Let's first answer the first question.

Wall length: 9.75 ft

Window: 5¾ ft = 5.75 ft

Available wall space for pictures:

9.75 ft - 5.75 ft = 4 ft

Now we convert 4 ft to inches.

1 ft = 12 inches

4 ft = 4 * 12 inches = 48 inches

There is 48 inches of wall space to place pictures that measure 6 inches each.

48 inches / 6 inches = 8

Originally, there is room for 8 pictures.

Question 4.

Each picture is 10 inches wide.

There is still 48 inches of wall space for the pictures.

48 inches / 10 inches = 4.8

There is room for 4.8 pictures. Since Mr. Hamilton will place only whole picture, he can only place 4 pictures now.

Answer: The number of pictures changes from 8 to 4.

Geometry, please answer question ASAP

Answers

The answer to your question is c

Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.

Answers

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

62+2{56/(4 multipied by 2)-5

Answers

Answer:

Hence The Answer is 66.

Step-by-step explanation:

I Hope It Helps You.

• • •

The simplified expression is 99.3333 (rounded to four decimal places).

To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).

First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.

Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).

Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).

Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).

To learn more about expressions click on,

https://brainly.com/question/19555499

#SPJ2

Complete question is:

Simplify 62+2{56/(4 multipied by 2)-5.

Find the measure of the indicated angle to the nearest degree

Answers

B=8H=16

We know

[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]

[tex]\\ \sf\longmapsto \theta=60[/tex]

Q:1)A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?


Q:2)An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.​

Answers

$\sf\underline\bold{Question:1-}$

A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?

$\sf\underline\bold{Solution}$

$\sf{According \: to\:the\: question,}$

Displacement for the above situation is 0. As we know, that displacement is the shortest path from the initial to the final point. Here, the initial and the final points are the same, and henceforth, it takes no time to travel. So the displacement is 0.

_________________________

$\sf\underline\bold{Question:2-}$

An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.

$\sf\underline\bold{Solution:}$

$\sf\bold{Given\:parameters:}$

$\sf\small{☆The\:diameter\:of\:the\:circular\:track:200m}$

$\sf{Radius=}$ $\sf\dfrac{200}{2}$ → $\sf\underline{Radius = 100m}$

☆Time taken by an athlete to complete one round : 30 seconds.

$\space$

$\sf\bold{To\:find:}$

❍Distance travelled by an athlete in 30 seconds.

$\space$

❍ AND,Distance travelled by the athlete will be equal to the cumference of the circle.

$\space$

$\space$ $\space$ $\space$ $\space$ $\space$ $\space$ $\sf{So,}$

$\mapsto$ $\sf{Circumference\:of\:the\:circle: 2 πr}$

$\space$

$\mapsto$ $\sf{Circumference=2\times}$ $\sf\dfrac{22}{7}$ $\sf{\times 100}$

$\space$

$\mapsto$ Circumference of the circle : $\sf\dfrac{4400}{7}$

$\space$

[tex]\sf\underline\bold{∴Circumference = 628.57m}[/tex]

$\space$

||Therefore,The distance travelled in 30 seconds, by the athlete is 628.57m.||

______________________

0 = 1st answer

628.57 m = Question 2 answer.

a polynomial has been factored below but some constants are missing. 2x^3-8x^2-24x=ax(x+b)(x+c)

Answers

Answer:

The polynomial is 2x^3 - 8x^2 - 24x

And we can factor out a 2x from each of the three terms:

2x(x^2 - 4x - 12)

Lastly, factor the remaining quadratic:

2x(x+(-2))(x+6)

And we have our answer:

a=2

b=-2

c=6

Let me know if this helps!

Answer:

a =2, b =2, and c = -6

Step-by-step explanation:

We factor the polynomial and then see which value corresponds to what.

2x^3-8x^2-24x

As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get

2x(x^2 - 4x - 12)

Now we factor the quadratic, which we can do mentally to get

2x(x+2)(x-6)

ax(x+b)(x+c)

Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.

what is the equation of the line that passes through the points (-8,8) and (4,-1)​

Answers

Answer:

y = (-3/4)x + 2

Step-by-step explanation:

Find the slope of this line.  Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9.  Then the slope is

m = (change in y) / (change in x) = -9/12 = m = -3/4

Find the y-intercept from this data using the slope-intercept form:

y = mx + b becomes  8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.

Solving this equation for b, we get:

                                     8 = 6 + b, so that b must be 2.

The desired equation is y = (-3/4)x + 2.

the person above me is correct !!

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)

Answers

Answer:

I assume that we want to complete the statement:

"The maximum profit of $__ dollars is reached when __ items are produced"

We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).

Then we can assume that the profit will be positive in this range.

Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.

If this is the case, we know that the maximum will be at the vertex.

Here we know that the vertex is:

(50, 1000)

Where remember, x represents the number of items and y represents the profit.

So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.

Then the complete statement is:

"The maximum profit of $1000 dollars is reached when 50 items are produced"

Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM​

Answers

Answer:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

x-1 = [tex]\sqrt{x} -1[/tex]

Answers

Answer:

[tex]x = 0[/tex] or [tex]x = 1[/tex].

Step-by-step explanation:

Start by adding [tex]1[/tex] to both sides of this equation:

[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].

[tex]x = \sqrt{x}[/tex].

If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].

Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].

Subtract [tex]x[/tex] from both sides of the equation:

[tex]x^{2} - x = x - x[/tex].

[tex]x^{2} - x = 0[/tex].

Factor [tex]x[/tex] out:

[tex]x\, (x - 1) = 0[/tex].

Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.

In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.

Math Problem

x-1 = \sqrt{x} -1

Math For Solution

#BrainliestBunch

PLEASE HELP ME WITH THIS MATH QUESTION!

Answers

Answer:

C

Step-by-step explanation:

First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so

(a/b)⁵ = a⁵/b⁵

=  (4³)⁵ /(5⁻²)⁵

Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so

(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰

Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that

5⁻¹⁰ = 1/5¹⁰

4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰

Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 feet. How many feet of fencing does he need to go around the whole garden?

Help pls!!

Answers

Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.

Fencing required to go around the whole garden = 368 feet

To calculate the fencing needed, given measures in the question,

Total area of the garden is 4864 square feet.Length of the garden is 152 feet.

Since, area of a rectangular garden is given by the expression,

Area = Length × Width  

4864 = 152 × Width

Width = [tex]\frac{4864}{152}[/tex]

          = 32 feet

Since, length of the fence needed = Perimeter of the garden

And Perimeter of a rectangular garden is given by the expression,

Perimeter = 2(length + width)

By substituting the values of length and width of the garden in the expression,

Perimeter = 2(152 + 32)

                 = 368 feet

       Therefore, 368 feet of the fence will be required to go around the whole garden.

Learn more,

https://brainly.com/question/22073676

A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00

Answers

Answer:

5 minutes

Step-by-step explanation:

5 * $0.99 = $4.95

find the surface area of this cylinder??​

Answers

Answer:

4

Step-by-step explanation:

A=ch

then,

2ft×2ft

4ft

1. Sederhanakan dan nyatakan hasilnya dalam bentuk eksponen.

2. Nyatakan soal berikut dalam notasi ilmiah.

Answers

Yes I agree when r rn skis r

Answer:

>

Step-by-step explanation:

Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.

What is the ratio of fiction books to nonfiction books on the shelf?


5:4

5:1

4:1

I don't know.

Answers

Answer:4:1 just taking to test as soon as you

Step-by-step explanation:

The ratio of fiction books to nonfiction books on the shelf is,  4

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Ellie has 20 books on her shelf

Four of these books are nonfiction

The rest are fiction

The ratio of fiction books to nonfiction books on the shelf = ?

The number of fiction books = ?

The number of fiction books = 20 - 4

                                                 = 16

Ratio =    fiction/nonfiction

         =      16/4

          =    4

Hence, the ratio is 4

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

Complete the paragraph proof.

Given: and are right angles

Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C

Prove: Line A R bisects Angle B A C

Answers

Answer:

wea did tha r come from??

Step-by-step explanation:

it is supposed to be d

on the unit circle, which of the following angles has the terminal point coordinates of (\sqrt(2))/(2),-(\sqrt(2))/(2)
a)5pi/4
b)pi/4
c)3pi/4
d)7pi/4

Answers

Answer:

c)3pi/4

Step-by-step explanation:

Una empresa de comunicaciones internacional ofrece paquete de servicios de internet por demanda y que incluye un cargo fijo mensual. Si el cargo fijo es de $8000 y el costo por MB consumido es de $ 34, entonces el costo por consumo de 512 Mb es de:

Answers

El costo por el consumo de 512 MB, con base en los cargos mencionados, es de $25408.

Cálculo del costo paso a paso.

Según los datos en el ejercicio, se puede identificar que el costo mensual debe contener el cargo fijo mensual ($8000), más los megabytes consumidos por $34, teniendo eso en cuenta, se puede generar la siguiente fórmula:

Costo por consumo = Cargo fijo mensual + MB * $34

Donde:

MB = Megabytes consumidas.

Si reemplazamos el valor de MB por la cantidad mencionada en el ejercicio (512 Mb), y el cargo fijo mensual ($8000) obtenemos:

Costo por consumo =  $8000 + 512 * $34Costo por consumo =  $8000 + $17408Costo por consumo =  $25408

Por lo tanto, el costo por consumo de 512 Mb es de $25408.

Si deseas ver ejercicios similares, revisa el enlace a continuación: https://brainly.com/question/12918169?referrer=searchResults

PLEASE HURRY!!!


Find the area of the region that is NOT shaded.

Answers

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

if A = 1 2 1 1 and B= 0 -1 1 2 then show that (AB)^-1 = B^-1 A^-1


help meeeee plessss ​

Answers

[tex]A = \begin{bmatrix}1&2\\1&1\end{bmatrix} \implies A^{-1} = \dfrac1{\det(A)}\begin{bmatrix}1&-1\\-2&1\end{bmatrix} = \begin{bmatrix}-1&1\\2&-1\end{bmatrix}[/tex]

where det(A) = 1×1 - 2×1 = -1.

[tex]B = \begin{bmatrix}0&-1\\1&2\end{bmatrix} \implies B^{-1} = \dfrac1{\det(B)}\begin{bmatrix}2&1\\-1&0\end{bmatrix} = \begin{bmatrix}2&1\\-1&0\end{bmatrix}[/tex]

where det(B) = 0×2 - (-1)×1 = 1. Then

[tex]B^{-1}A^{-1} = \begin{bmatrix}2&1\\-1&0\end{bmatrix} \begin{bmatrix}-1&1\\2&-1\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]

On the other side, we have

[tex]AB = \begin{bmatrix}1&2\\1&1\end{bmatrix} \begin{bmatrix}0&-1\\1&2\end{bmatrix} = \begin{bmatrix}2&3\\1&1\end{bmatrix}[/tex]

and det(AB) = det(A) det(B) = (-1)×1 = -1. So

[tex](AB)^{-1} = \dfrac1{\det(AB)}\begin{bmatrix}1&-3\\-1&2\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]

and both matrices are clearly the same.

More generally, we have by definition of inverse,

[tex](AB)(AB)^{-1} = I[/tex]

where [tex]I[/tex] is the identity matrix. Multiply on the left by A ⁻¹ to get

[tex]A^{-1}(AB)(AB)^{-1} = A^{-1}I = A^{-1}[/tex]

Multiplication of matrices is associative, so we can regroup terms as

[tex](A^{-1}A)B(AB)^{-1} = A^{-1} \\\\ B(AB)^{-1} = A^{-1}[/tex]

Now multiply again on the left by B ⁻¹ and do the same thing:

[tex]B^{-1}\left(B(AB)^{-1}\right) = (B^{-1}B)(AB)^{-1} = B^{-1}A^{-1} \\\\ (AB)^{-1} = B^{-1}A^{-1}[/tex]

Other Questions
Que preguntas genera la filosofa causes of diabetes for class 8 in points why nepal is still poor in transport? calculate the volume of 20.5g of oxygen occupied at standard temperature and pressure.what the volume Which subshells are found in each of the following shellselectron subshell - M shell The figure shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is true?A. It is fraction 1 over 2 throughout the line.B. It is 2 throughout the line.C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B. D. The slope from point O to point A is two times the slope of the line from point A to point B. For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6) a. Determine the coefficient of x^3. b. Determine the coefficient of x^6. c. Determine the constant of the term polynomial. d. Determine the degree of the polynomial. How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4 How are medical assistants certified? Difference between Birds and Bats. Rough-cut capacity planning: Multiple Choice Looks at specific products to be run in specific factories. Determines if the MRP is feasible or not. Analyzes both labor and equipment capacity throughout the organization. Examines total capacity by measuring average factory output. BRAINLEST IF CORRECT answer + explanation would be appreciated What impact did the Magna Carta have on England Monarchy? Nosotros __________ todos los lugares cuando lleguemos. En qu consista el sistema de riego inventado por los egipcios? Which decimal is equivalent to15/100?A- O 0.015B- 0.15C-o 1.5D- 0.0015 helpp plss STORIES OF USEFUL INVENTIONS, excerptBy S. E. Forman1911THE MATCHThere 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. im so dum rn like honestly Emilio wants to add a name field for his clints. From the ribbon, which icon should be selected?