[tex]\sqrt{180x^{25}y^{23}z^{39}[/tex]

Answers

Answer 1

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

How do you define the square root of a number?

In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

[tex]\sqrt{180x^{25 } y^{23} z^{39}[/tex]

[tex]180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times[/tex]

we have

square terms comes out

x is 25 times so we can write x as [tex](x^{12})^{2}[/tex] [tex]*[/tex][tex]x[/tex] therefore [tex]x^{12}[/tex] comes out and only left inside is x

similarly [tex](y^{11})^{2}[/tex] [tex]*y[/tex] therefore [tex]y^{11}[/tex] comes out and only left inside is y

[tex](z^{19})^{2} *z[/tex] therefore [tex]z^{19}[/tex] comes out and left inside is z

then the expression become

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

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Related Questions

Select the correct answer.

Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have?


A. x + 1/2x + 2/3x = 30 - 4, which has no solution

B. x + 1/2x + 2/3x = 30, which has infinitely many solutions

C. x + 1/3x + 2/3x - 4 = 30, which has one solution

D. x + 1/2x + 2/3x +4 = 30, which has one solution

E. 1/2x + 2/3x = x - 4, which has no solution

Answers

I think it is C
I hope it is correct?

Answer:  C, I think is correct


A projectile is launched from ground level with an initial velocity of vo feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t² + vol.
Find the time(s) that the projectile will (a) reach a height of 208 ft and (b) return to the ground when vo is 64 feet per second.

Answers

a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.

b) The projectile will hit the ground 4 seconds later of its launch.

How to analyze the launch of a projectile

Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:

s = - 16 · t² + 64 · t

In the first part, we need to determine when the projectile will reach a height of 20.8 feet:

20.8 = - 16 · t² + 64 · t

16 · t² - 64 · t + 20.8 = 0

(t - 3.643) · (t - 0.357) = 0

The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.

And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:

- 16 · t² + 64 · t = 0

- 16 · t · (t + 4) = 0

The projectile will hit the ground 4 seconds later of its launch.

Remark

In the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.

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The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.

Answers

Answer:

12*10^4 lbs.

Step-by-step explanation:

This is the correct answer because you have to count using scientific notation by seeing the amount of times the decimal point has moved to the left which makes it positive.

The total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

The total weight = 5.36 x 10⁴ + 6.2 x 10⁴

The total weight = (5.36+ 6.2)10⁴

The total weight = 11.56x10⁴

Or

The total weight = 12x10⁴ lbs

Thus, the total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

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Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2

Answers

-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.

What is a differential equations explain?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

[tex]\frac{-1}{y} = u[/tex]

[tex]\frac{y'}{y^{2} } = u'[/tex]

[tex]xy' - ( 1 + x )y = xy^{2}[/tex]

[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]

xu' + ( 1 + x )u = x

xu' + u + ux = x

 xu = s

u + xu' = s'

s' + s = x

s - x  =t

s' - 1 = t'

t' + 1 + t = 0

dt/dx = - ( 1 + t)

-∫ [tex]\frac{dt}{1 + t} =[/tex]  ∫dx

-ln ( 1+ t ) = x + c

-in ( 1 + s - x ) = x + c

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c

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Complete each function table,then graph the function

Answers

The y values from:

1. ₋6

2. ₋3

3. 0

4. 3

Given the x values and y value as y = 3x

1. when x = ₋2 then y = 3x

y = 3(₋2)

y = ₋6

2. when x = ₋1 then y = 3x

y = 3(₋1)

y = ₋3

3. when x = 0 then y = 3x

y = 3(0)

y = 0

4. when x = 1 then y = 3x

y = 3(1)

y = 3

therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.

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what is the reference angle for 202 degrees

Answers

Answer: 22 degrees

Step-by-step explanation:

Since the angle 180° is in the third quadrant, subtract 180° from 202°.

140%of 138.6 is what

Answers

Hello, the answer is 194.04.

First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.

So the steps to a percentage multiplied to a number are:

1. Convert the percentage to a decimal.

2. Multiply the decimal by the number.

3. You get the answer.

I do not understand UPSE what am I so sapouse to do and how?

Answers

First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.

You have many subjects in order to complete the syllabus of civil services.

The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.

The candidate also has to face interview after clearing both the examinations.

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what do you notice about absolute 6 and -6

Answers

Answer: they have the same absolute value

Step-by-step explanation: -6 and positie 6 are both 6 units from zero

The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.

Answers

Answer:

w = [tex]\frac{p -2l}{2}[/tex]

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

[tex]\frac{p -2l}{2}[/tex] = w

2x3-x2-2x+1 divided by 2x-1

Answers

Answer: we have to divide a

This should be done by using a long division method.

multiply x+1 by

Therefore the quotient is

The remainder is 0

Step-by-step explanation: hope this helps

Answer:

2x^3-7x/2 -1

Step-by-step explanation

Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know

Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)

Answers

The total change in the stock market from the beginning of the day to the end of the day is -49.75.

According to the statement

We have to find that the change in the stock market.

So, For this purpose, we know that the

The change is the difference between the current price and the last trade of the previous day.

From the given information:

At the beginning of the day the stock market goes up 30 1/2 points and At

The end of the day the stock market goes down 80 1/4 points.

Then

Stock market goes up through points = 30 1/2 = 61/2

Stock market goes down through points = 80 1/4 = 321/4

Then

Change = +61/2 - 321/4

Change  = +30.5 - 80.25

Change = -49.75

So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.

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300000 + 3524142532 =

Answers

Answer:

3524442532 or 3.524442532 * 10 ^9

Step-by-step explanation:

Using graph paper, solve the following inequality. Then click on the graph until the correct one is displayed.



y ≥ |x - 1|

Answers

Using translation concepts, the first graph is the correct one.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the function y = |x - 1| is a shift right of 1 unit of the function y = |x|. For the inequality, all the values above the line, including the line, are marked.

The graph of |x - 1| is triangular positive, with vertex at x = 1, hence the first graph is the correct one.

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You roll a number cube. What is the probability that you roll an even number or a number less than 5?

Answers

Let’s first see the probability of landing an even number. We have 6 sides, and 3 are labeled with an even number. So our chances of rolling a number cube are 3/6 (or 1/2 when simplified).

Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.

To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:

3/6 * 4/6

We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.

So there’s out answer: 1/3.

Evaluate $\sqrt{5\cdot10\cdot14\cdot21\cdot15\cdot20}$.

Answers

The answer is about 102847462881817394747 and 13

There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.

Answers

Answer: 136, 625,532,413

Step-by-step explanation:

Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°) and g(x) = cos 2x Write down the period of g. State the range of f.​

Answers

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

sin(x-30°) = cos 2xsin(x-30°) = sin(90°-2x)(x-30°) = (90°-2x) + 360°nx + 2x =  90° + 30° + 360°n3x = 120° + 360°nx = (120° + 360°n)/3The general solution (x) is 40° + 120°n. g(x) = cos 2xThe period of cos x is 2π. If the multiplying factor of x is 'n', then it decreases the period by n times.Here, in g(x), n is 2.The period of g(x) is equal to half the period of cos x. The period of g(x) = 2π/2The period of g(x) is π.f(x) = sin(x-30°)"Sin" is a trigonometric function which has a range from -1 to 1.

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Carnegie Learning, Inc.

Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)

Why a is wrong?

And why b is correct

Answers

Answer:

B

Step-by-step explanation:

The y coordinate tells us when we are going up for down.  So the rule would be (x, y + 5)  So, the x coordinate stays the same and the y goes up 5.

(1,2)  The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2)  The 2 is the y coordinate.  It will increase by 5 and become (3,7)

(3,4)  The 4 is the y coordinate.  It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate.  It will increase by 5 and become (1,9)

For f(x) = 3x+1 and g(x)=x2-6, find (f- g)(x).

Answers

The simplified equation of the given Arithmetic  function (f- g)(x) is:

-x² + 3x + 7.

Arithmetic function describe as:

Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Which of the following is not an arithmetic function?

Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.

According to the given information:

Given:

f(x) = 3x+1

g(x)=x²-6

(f- g)(x) =

Substituting the value we get:

(f - g)(x) = (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

The simplified equation of the given Arithmetic  function (f- g)(x) is = -x² + 3x + 7.

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A fruit juice company includes 1.088 ounces of pineapple juice in a 6.55 ounce bottle of a mixed fruit juice how much of the bottle mixed fruit it’s not pineapple juice

Answers

Answer:

5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.

Step-by-step explanation:

Select the domain and range of the graph in set-builder and interval notation.

Answers

The domain of the graph in set builder notation is; x ≤ -2 or x ≥ 1

The range of the graph in set builder notation is; y ≥ -2 or y ≥ 1

What is the domain and range of the graph?

Domain refers to the set of all possible input values and Range refers to the set of all possible output values generated by the function.

Now, from the given graph, we can see that there are two lines. Thus;

Domain of left graph line is; x ≤ -2

Domain of right graph line is; x ≥ 1

Thus, the domain of the graph in set builder notation is;

x ≤ -2 or x ≥ 1

Similarly, the range is as follows;

Range of the left graph line is; y ≥ 1

Range of the right graph line is; y ≥ -2

Thus, the range of the graph in set builder notation is;

y ≥ -2 or y ≥ 1

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8w-6(w-4)=2(w+9)
please help asap

Answers

Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

What’s the answer to the question attached

Answers

(a) The third term of the sequence is 19.

(b) The term-to-term rule of the new sequence is "subtract 13 and then divide by 6".

The first term is given to be -2.The term-to-term rule is to multiply by 6 and then add 13.(a) The second term is equal to (-2)*6 +13The second term equals -12 +13The second term is 1The third term equals (1)*6 +13The third term equals 6 +13The third term is 19(b) The order of the three terms of the sequence is reversed.This means the term-to-term rule will be the inverse of the current term-to-term rule.We will now first subtract 13 and then divide by 6.

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write an equation for the following math sentence

one fourth times the difference of ten and a variable

Answers

Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'

We need to write an equation for the given math sentence.

Given math sentence: one fourth times the difference of ten and a variable

Let the variable be 'x'

We rewrite above statement as,

one fourth times the quantity ten minus x

⇒ 1/4 × (10 - x)

so, we get an expression 1/4 (10 - x)

Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

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The price of a computer is 899.00 the sales tax rate is 7% what is the sales tax on the computer in dollars and cent

Answers

The value of the sales tax on the computer is 62 dollars and 93 cents.

Any number or a ratio which is expressed in terms of a fraction of 100 is known as a percentage.

Here, we are given that the price of a computer is 899 dollars.

The sales tax on the computer is 7%.

Thus, the value of the sales tax on the computer will be,

7% of 899

= 7/100 * 899

= 62.93

Thus, the sales tax on the computer comes out to be 62.93 dollars.

In 62.93 dollars, we can see that we have 62 complete dollars, plus 0.93 more dollars left.

0.93 dollars = 93 cents

Therefore, the sales tax on the computer is 62 dollars and 93 cents.

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Answer:

Step-by-step explanation:

I need help on this.

Answers

For the functions in this problem, we have that:

a) The function is exponential, and the table is completed as follows.

x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.

b) The function is linear, and the table is completed as follows.

x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.

c) The function is exponential and given by:

[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

A function with initial value 1 and where the y-value is computed by multiplied the previous y-value by 5, as in item a, is an exponential function with parameters a = 1 and b = 5, hence the rule is:

[tex]y = 5^x[/tex]

Then:

x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship is also classified as linear with a intercept of 0. For item b, since each y-value is the x-value multiplied by 5, the rule is:

y = 5x.

Hence the table is:

x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.

For item c, when x changes by 1, y is always multiplied by 1/2, and due to the multiplication, the function is exponential and given by:

[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]

The -16 is because when x = 0, y = -16.

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Step-by-step answer?

Answers

hi

a ( b +c) =  a*b +a*c

here a = -3  

        b = -4x

        c = +5

so :  

-3 ( -4x +5)  =  -3*-4x + -3* 5  

                   =  -12x + (-15)

                  = -12x -15

as I cannot add  -12x and  -15   ( they are two differents sort of figures )

so it's done

Answer:

12x - 15

Step-by-step explanation:

What you need to do for this is -3 · -4x + -3 · 5 = 12x+(-15). Which simplifies to 12x - 15.

If the parents of a family already have two boys, what is the probability that the next two offspring will both be girls?

Answers

The probability that the next two offspring will both be girls is 1/3.

To find P both children are girls

A: Event that both children are girls

A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}

Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)

(P(A∩B)P(B))

Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414

Therefore,

P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.

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Janet rents a booth at the farmers market that costs $150 a day. She sells jars of fresh honey from her family farm for $8 each. At the end of the day, she splits all the money she brings home with her mom who takes care of the bees. If j is the number of jars of honey sold, write a function f(j) representing how much money Janet makes each day.​

Answers

The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.

Which function represents how much money Janet makes each day?

Given;

Booth rent = $150Cost of each honey jar = $8Number of jars sold = j

According to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.

Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.

Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.

The required function, f(j) is therefore;

f(j) = (8j/2) - 150.

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Which pair of regions are both part of the Central American cultural regions? Guatemala and California Panama and Costa Rica Yucatan Peninsula and Northern Mexico Belize and Yukon Territory The pharmacology instructor is explaining interleukins to the class. what would be the best definition of interleukins? May 15My older sister joined a protest march today.The was held to make people aware of a newstore. The sells sports shoes from anothercountry. Many were paid low wages to makethe shoes. The should be boycotted!All should be paid fairly. Which macromolecule holds your genetic information, providing the instructions to manufacture proteins?. Nordstrom sells designer suits made in italy in its stores in the united states. nordstrom is ____ suits. a. importing b. taxing c. dumping d. trading e. exporting Whats exponent gives you 8 The parameter list in the method header and arguments in the method call must agree in? Infants are capable of _____ perception even for speech sounds they have never heard before. this indicates that the phenomenon is innate and experience independent. The graph of the function f(x) = -(x + 3)(x - 1) is shownbelow.-6 -4-26A2-2-4-6-y246XWhat is true about the domain and range of the function?The domain is all real numbers less than or equal to4, and the range is all real numbers such that -3 x1.The domain is all real numbers such that -3 x 1,and the range is all real numbers less than or equal to4.The domain is all real numbers, and the range is allreal numbers less than or equal to 4.The domain is all real numbers less than or equal to4, and the range is all real numbers. The company uses the direct write-off method for bad debts. what is the amount of bad debts expense? Tetraploidy may result from:____.a. lack of cytokinesis in meiosis ii b. nondisjunction in meiosis i c. lack of cytokinesis in mitosis d. nondisjunction in mitosis in the early embryo e. none of these Compared with the number of antibiotics, the number of antiviral drugs is small because:_________ Exercise 1 Write P above each proper noun and C above each common noun.When the smoke had cleared, only four teams were left. Exercise 1 Circle the gerund or gerund phrase in each sentence.Leafing through photos is a good way to remember old times. Which process uses clathrin in coated pits to bring substances into cells? mastering ohysion Do you think our country is more UNITED or DIVIDED today than it was during the era of the Civil War and Reconstruction? Posted speed limits on curve advance warning signs recommend safe speed in _______ driving conditions. Create a scaled copy of ABCD using a scale factor of 2. A nurse doing a presentation on cancer to a local community group identifies which factors to be high-risk and associated with cancer development? select all that apply. The theory of comparative advantage is credited to :_______a. milton friedman. b. john maynard keynes. c. adam smith. d. david ricardo.