Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.

Answers

Answer 1

Answer:

6.3 *30= 189; so 4 cotton swabs


Related Questions

distance between (-5,1) and (0,-4)?

Answers

Answer:

7.07106781187

For which value of x is the expression y
=
a. 1
b. -1
C. 5
d. -5
3x-3
x-5
- undefined?

Answers

1

Step-by-step explanation:

when we put 1 in the equation the nominator becomes zero and it becomes undefined

Hii!

___________________________________________________________

[tex]\stackrel\star\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}}}\circ\leftharpoonup[/tex]

The value of x should be 5! ^^

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}}}\circ\leftharpoonup[/tex]

[tex]\boxed{\\\begin{minipage}{7cm} For\,an\,expression \\ \boldsymbol{to\,be\,und efined,} \\ \,its\,denominator\,should\,be\,zero \end{minipage}}}[/tex]

Remember this! ^^

Now let's consider this:

Which value of x will make the denominator equal to 0?

Is it 1? If we stick 1 in, we will not obtain 0.

[tex]\twoheadrightarrow\sf y=\cfrac{3\cdot1-3}{1-5}[/tex]

[tex]\bullet[/tex] Simplify this

[tex]\twoheadrightarrow\sf y=\cfrac{3-3}{-4}[/tex]

---

We will obtain 0 in the numerator, but not in the denominator; if the numerator is 0, then the fraction, or fractional expression, is 0.

Let's try 5. 5-5 is equal to 0, so this sounds promising! ^^

[tex]\twoheadrightarrow\sf y=\cfrac{3\cdot5-3}{5-5}[/tex]

[tex]\bullet[/tex] Look what we obtain when we simplify

Don't we obtain 15-3/0?

Like I said above, if an expression has 0 as its denominator, it's undefined.

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

--

The temperature is dropping at a rate of five degrees per hour.
Let d represent the number of degrees the temperature drops.
Let t represent the number of hours that pass.
Which is the dependent variable?
Othe number of hours
Othe number of degrees the temperature drops
O the rate at which the temperature drops
the day of the week

Answers

Answer:

The rate at which the temperature drops.

Step-by-step explanation:

In science, the dependent variable is what you are measuring.
In math, the dependent variable is what you are evaluating.

Same idea, different topic.

Answer:

d=temp drop

t=hours

dependent variable is the temperature drops because the number of hours will tell you how much the temprature drops

this is the equation

total temp drops=t x 5

hope this helps!?

if p = (-1,-1) find the image of p under the following rotation. 90 degrees counterclockwise about the origin

Answers

Answer:

( 1, - 1 )

Step-by-step explanation:

Help, Help, Brainliest available to the best Answer!



Find the Variance

Answers

Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².

What is the variance of a data-set?

The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean is the sum of all observations divided by the number of observations, hence:

M = (145 + 175 + 180 + 205 + 120)/5 = 165.

And the variance, in lbs squared, is given by:

V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.

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The population of a large city can be calculated using the function P=345,000(1.01). What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10?

Answers

Rate of change (ROC) refers to how quickly something changes over time.

What is rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or slowdown of changes (i.e., the pace). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the rate of change.

Given data :

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

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7
2
3
Mark this and return
f(x)
The functions f(x) and g(x) are graphed.
3
-6-5-4-3-2-1₁-
"AssessmentViewer(Ant
N
5
-2+
-3-
6
g(x)
7
2 3 4 5 6 x
8
Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Save and Exit

Answers

Answer: Option 1

Step-by-step explanation:

The graphs intersect at x=0 and x=2, meaning f(2)=g(2) and f(0)=g(0).

The functions have the intersecting points at x = 2 and x = 0 and the relation is f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the first function be represented as f ( x )

Let the second function be represented as g ( x )

Now , the function f ( x ) is a parabolic function and g ( x ) is a linear function

And , the intersecting points of both f ( x ) and g ( x ) are

x = 2 and x = 0

So , both the functions f(x) and g(x) intersect at two points, one at x = 2 at the x-axis in the graph and one at y = 4 at y-axis of the graph

Therefore , f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

Hence , the functions are solved

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Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)

Answers

Answer: The given triangles have an area [tex]1/2[/tex] × [tex]base[/tex] × [tex]height[/tex]

Step-by-step explanation:

The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.

Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.

For the first triangle applying the moving principle gives,

Area  [tex]=[/tex] [tex]b[/tex] × [tex](\frac{1}{2}[/tex] · [tex]h)[/tex]

For the second triangle applying the additivity principle,

Area [tex]=\frac{1}{2}[/tex] ([tex]b[/tex] · [tex]h[/tex])

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Which is true regarding the graphed function f(x)?
• f(O) = 3
• f(5) = - 1
• f(3) = 2
O f(2) = -2

Answers

Answer:

f(5) = -1

Step-by-step explanation:

The points on the graph are (0,4), (1,3),(2,2), (3,1), (4,0), (5,-1).

The answers are in the form:

f(x) = y

That is, the number in the parenthesis is the x and the number by itself on the right is the y. The only one that is a point on the line is f(5) = -1, which is the point (5,-1)

Follow the steps to find the area of the shaded region.


First use the formula below to find the area of the whole sector.


Sector Area= ( angle of sector/360). R2


Sector Area = ? Cm^2
Round to four decimal places.

14 cm

46°

14 cm

Answers

The area of the sector, to 4 decimal places, is 78.6794 cm².

We have given that,

Sector Area= ( angle of sector/360). R2

We have to determine the Sector Area

What is the Area of a Sector of a Circle?

Area of sector = ∅/360 × πr².

We have given the following:

∅ = 46°

Radius (r) = 14 cm

Area of sector = 46/360 × π(14²)

Area of sector ≈ 78.6794 cm²

The area of the sector is approximately 78.6794 cm².

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6(2x²-5) = [?]
x = -3

Answers

Answer:

78

Step-by-step explanation:

plug in -3 as x

6(2(-3)^2-5)

6(2(9)-5)

6(18-5)

6(13)

78

Answer: 78

Step-by-Step Solution:

=> 6(2x² - 5) ; when x = -3

Substitute the value of ‘x’ :-

= 6(2x² - 5)
= 6(2(-3)² - 5)
= 6(2(9) - 5)
= 6(18 - 5)
= 6(13)
= 6 * 13
=> 78

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Lines Q, R, U, and T extend from point S from left to right. Angle R S T is a right angle.
Which statement is true about angles UST and QSR?

They are complementary.
They are supplementary.
They are congruent.
They are obtuse.

Answers

Answer:

Statement 1 is correct

Angles UST and QSR are complementary.

Step-by-step explanation:

Complementary angles are those angles whose addition gives result of 90°

Congruent angles are those angles which are equal to each other. We can say that there values are same.

Here angle RSU is complementary to angle UST.

Therefore there addition is equal to 90°

∠RSU + ∠UST =  90° - (i)

Here angle QSR is congruent to angle RSU.

Therefore their values are equal.

It means ∠QSR =∠RSU -(ii)

From equation (i) and (ii) we get

∠QSR + ∠UST =  90°

So angles UST and QSR are complimentary angles.

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Answer:

Step-by-step explanation:

A

What percent of 48 listings is 36 listings

Answers

Answer:

75%

Step-by-step explanation:

48x=36

x=36/48

x=3/4

x=0.75=75%

The interior angle of a regular polvgon is 9 times the size of its exterior angle
Work out how many sides the polygon has

Answers

Answer:   20 sides

==================================================

Work Shown:

x = exterior angle

9x = interior angle

interior + exterior = 180

9x+x = 180

10x = 180

x = 180/10

x = 18

n = number of sides

n = 360/x

n = 360/18

n = 20

There are 20 sides to the regular polygon.

Side notes:

The formula to determine n only works for regular polygons.A polygon with 20 sides is known as an icosagon.Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.

In how many ways can $9$ friends sit at a circular table if two of them, Anna and Bob, insist on having exactly two people seated between them? (As usual, two seatings are considered the same if one is a rotation of the other.)

Answers

There are 10,080 different ways in which the friends can seat on the circular table.

In how many ways the friends can seat?

There are 9 friends, such that two of them need to be separated by exactly two people.

Because the table is circular, we can consider the first position as the position where Bob is.

Now let's count the number of options for each of the other 8 positions. (counting to the left).

The next two positions have 7 and 6 options respectively (as these can be taken by any of the other 7 friends)

For the next seat, we could seat Anna or one of the remaining 5 friends.

Let's assume we seat Anna there, then for each of the next positions, we will have, respectively, 5, 4, 3, 2, 1 options.

The total number of combinations is given by the product between the numbers of options, so we have:

C = 7*6*5*4*3*2*1

But we also need to consider the case where Anna is on the first position (and Bob on the third), so we just need to add a factor equal to 2.

C = 2*(7*6*5*4*3*2*1) = 10,080

There are 10,080 different ways in which the friends can seat on the circular table.

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how to evaluate 16/81 1/2

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of (16/81)^(1/2) is 4/9.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.


The value of the given expression (16/81)^(1/2) can be calculated as shown below,

[tex](\dfrac{16}{81})^{\frac12}\\\\=\sqrt{\dfrac{16}{81}}\\\\= \dfrac49[/tex]

Hence, the value of (16/81)^(1/2) is 4/9.

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Answer:

★The square root of 16/81 = 4/9.

Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d (k+ 1).

Answers

The inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

How to carry out Mathematical Induction?

Suppose we have the statement 3n > 4n for all positive integers  n.

Now, the statement above is false when n = 1 , since 3 is less than 4. However, it will be true for all other positive integers.

In that case, we can still prove this statement by induction for all integers  n ≥ 2 .

Thus, the inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

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(x) = x + 0.14x, then find the value of T(290).
A. 300.45
B. 351.2
C. 325.8
D. 330.6

Answers

Answer:

  D.  330.6

Step-by-step explanation:

To evaluate the function for a specific value of x, put that value where x is in the function definition, and do the arithmetic.

__

T(x) = x +0.14x . . . . . given function definition

T(290) = 290 +0.14×290 = 290 +40.6 . . . . substitute 290 for x

T(290) = 330.6

The value of T(290) will be 330.6.The relation between them is shown as T(x)  is dependent and x is the independent variable. Option D s correct.

What is a function?

A connection between independent variables and the dependent variable is defined by the function.

Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.

Given relation;

T(x) = x +0.14x

Substitute the value of x we get;

T(290) = 290 +0.14×290

T(290) = 330.6

Hence, option D s correct.

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CON PROCESOS POR FAVOR

Answers

Answer:

[tex] \dfrac{149}{40} [/tex]

[tex] \dfrac{38}{15} [/tex]

Step-by-step explanation:

[tex] (\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) =  [/tex]

[tex] = (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10}) [/tex]

[tex] = (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20}) [/tex]

[tex] = \dfrac{67}{40} - (-\dfrac{41}{20}) [/tex]

[tex] = \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2} [/tex]

[tex] = \dfrac{67}{40} + \dfrac{82}{40} [/tex]

[tex] = \dfrac{149}{40} [/tex]

[tex] (-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) = [/tex]

[tex] = (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5}) [/tex]

[tex] = 0 + \dfrac{18}{15} + \dfrac{20}{15} [/tex]

[tex] = \dfrac{38}{15} [/tex]

Determine the growth defined by the equation y=1.4(3.72)^x.

Answers

Answer:

the type of growth defined by the equation is Exponential growth.

Step-by-step explanation:

Exponential growth :-Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself

expression for exponential growth -

f(x) = k(1+t)^x

f(x) = exponential growth

k = initial amount

t = rate of growth

x = no  of time interval

therefor,

the equation shown in the question represents exponential growth with increasing time.

hence, Exponential growth is the correct answer.

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two sides and an angle are given below. determine whether the given information results in one triangle, two triangles, or no triangle at all. solve any resulting triangle(s). b = 8, c= 7, b = 170°

Answers

Answer:

  A. single triangle. C = 8.74°, A = 1.26°, a = 1.01

Step-by-step explanation:

When two sides and an angle are given, the possibility of two (or zero) triangles exists only when the given angle is opposite the shorter of the two given sides. That is not the case here, so the given measures define one unique triangle.

Law of Sines

The law of sines tells us the sides and angles have the relation ...

  sin(A)/a = sin(B)/b = sin(C)/c

We can use this first to find angle C:

  sin(C) = c/b·sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(7/8·sin(170°)) ≈ 8.7394°

  ∠C ≈ 8.74°

Remaining measures

Now that we know two angles, we can find the third:

  A = 180° -B -C = 180° -170° -8.74° = 1.26°

  ∠A = 1.26°

Using the law of sines again, we can find the measure of side 'a'.

  a = b·sin(A)/sin(B) = 8·sin(1.26°)/sin(170°) ≈ 1.01346

The measure of segment 'a' is about 1.01 units.

__

Additional comment

If 'a', 'b', and angle A are given, there will be zero triangles if b/a·sin(A) > 1. If b/a·sin(A) < 1 and b > a, there will be two (2) triangles. Otherwise, as here, there will be one unique triangle.

The length of the base of a triangle is twice its height. If the area of the triangle is 16 square kilometers, find the height.

Answers

Answer:

4

Step-by-step explanation:

Area of a triangle = bh/2

B = 2h

16 = 2h × 2/2

h×2 = 16

2h = 16

* put a square root on both sides then u will get the answer which is

Height of the triangle = 4

Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3(x - 5) when graphed?

(4, 5)

(6, 5)

(5, 5)

(1, 4)

Answers

The point is (6, 5).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given :

y - 2 = 3(x - 5)

Those point will satisfy after putting the value of x and y we get LHS= RHS.

take (4, 5)

5-2 = 3(4-5)

3= -3

Hence, not satisfied.

take, (6, 5)

5-2 = 3(6-5)

3= 3

Hence, satisfied.

take, (5, 5)

5-2 = 3(5-5)

3= 0

Hence, not satisfied.

take, (1, 4)

4-2 = 3(1-5)

2= -12

Hence, not satisfied.

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Graph the equation.

Y= - 3/2x

Answers

Answer:

Step-by-step explanation:

Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:

tan2β
tanβ+secβ
tanβ
sec2β
1

Answers

Answer: Choice E)  1

Work Shown:

[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]

Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.

If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?

Answers

Answer:

177

Step-by-step explanation:

If f(n)= n²-n, then f(-4) is
O-20
12
-12
20

Answers

Answer:

20

Step-by-step explanation:

Plug in -4 for n:

(-4)^2 - (-4) = 16 + 4 = 20

Use the graph of the function to find its domain and range. Write the domain and range in interval notation

Answers

Answer:

Step-by-step explanation:

Express cos A as a fraction in simplest terms.

Answers

Answer:

See below

Step-by-step explanation:

Here is one way

cos^2 + sin^2 = 1

cos^2 = 1 - sin^2  

For angle A      cos^2 = 1 - (10/26)^2

                          cos ^2 = 1 - 100/676

                                       =  576/676

                              cos A = 24/26   = 12/13

Another way would be to use the Pythagorean theorem to find length of AB .... then cos A =   length AB / 26

5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.

Answers

The sign of the leading coefficient can be found using the graph of a polynomial function.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given the graph of polynomial functions:

In the first graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → -∞

Degree of a function = 3

In the second graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → -∞

Degree of a function = 4

In the third graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → ∞

Degree of a function = 4

In the fourth graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → ∞

Degree of a function = 3

Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.

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A piece of metal with a mass of 23.2 g at 120.1oC is placed in a styrofoam cup containing 35.0 g of water at 22.2oC. Once the system has reached equilibrium, the final temperature of the water is 34.0oC. What is the specific heat of the metal to four significant digits? The specific heat of water is 4.18 J/g-oC. In your opinion, is helping the "lesser of two evils" a sound foreign policy decision, or should the United States allow warring nations to decide matters for themselves? Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.(AKS 16) What does the solution to the system of equations represent in the context of the problem? Explain. Can someone help me? Ill give brainliest to whoever gets it right first Which statements about the arcs and angles are true? select three options. efd egd egd ecd arc e d is-congruent-to arc f d marc e f = 60 marc f d = 120 Step 1: Make a list of characteristics of a great leader. These may include such statements as: creating rules assigning consequences (both positive and negative) is respected by others helps others Step 2: Identify at least five (5) individuals in your community. These may be school leaders (example: Coach Jones), people who hold political office (example: Mayor Smith), or a member of community organizations (example: Council on Aging - Ms. Jenkins). Step 3: Make a list of the qualities that you believe that each of these people possess that make them good leaders. Step 4: List 3 early American leaders that you have studied so far in this course. What characteristics did these historical leaders possess that helped them become great leaders? Step 5: Compare the early American leaders with your list of leaders in your community. What characteristics do these leaders have in common? Explain your choices. Write an expression that evaluates to true if and only if the value of the boolean variable workedovertime is true. All governments (cities, counties, states, and nations) have to raise money through taxes, called "revenue." This money helps paythe salaries of all the workers who provide services to the citizens, such as teachers, police, and soldiers. It also pays for the cost ofbuilding highways, schools, hospitals, and other facilities. Which statement best describes how tax cuts might impact stateservices?A. Tax cuts might help the government create more state services.B. Tax cuts might cause the government to create more roads and schools.C. Tax cuts might cause the government to reduce state services.D. Tax cuts would raise more revenue for county and state services. Simplify. Rewrite the expression in the form 9^n9 n 9, start superscript, n, end superscript.(9^{-3})(9^{12})=(9 3 )(9 12 ) What conclusion cannot be drawn? What is the process in which rock fragments freeze to the bottom of a glacier and then are carried away when the glacier moves? if an insect eats the lettuce seedlings in your yard, it is acting most like a(n): A six-sided die is thrown three times. What is the probability of getting a prime number on all three rolls? Submit your air quality report for your area, showing seven days, the air quality color for each day, and each day's major pollutants. This information should have been obtained in the previous lesson. Also, write a one-paragraph explanation of where the pollutants in your area most likely come from. Part 2 Consider the area that you live in. In at least one paragraph, describe how each of the following factors could affect air pollution in your area. If none of them would affect you, explain why. Factors to consider: the presence of urban areas, topography (presence or absence of hills and mountains), summer temperatures, latitude (distance from the equator). Which property allows you to write the expression (3 7i) (8 6i) as (8 6i) (3 7i)? please answer this I need help now describe the imortance of people's participationsgive me answer please Choose the items that are correctly matched.Select one:A. inactivation gate - open at restB. activation gate - closed during depolarizationC. activation gate - open at restD. inactivation gate - open during repolarizationE. All of the answers are incorrectly matched.*for physiology* You will get 50 points after giving proper answer What do you observe in the North American Deciduous Forests ?