What expression is represented by the factorization below?
(3x+2)(3x - 2)

Answers

Answer 1

Answer:

9x^2-4

Step-by-step explanation:

use FOIL

Answer 2

9x²-4 is represented by the factorization.

What is factorization?

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

Given

(3x+2)(3x - 2)

= 9x² + 6x - 6x -4

= 9x² -4

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Related Questions

Write two and thirty-one hundredths as a decimal number.
A) 0.231
B) 2.031
C) 2.31
D) 231.00

Answers

Answer:

c

Step-by-step explanation:

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

700-175=525. 525/35=15

Find the missing number.
a. 3 : 24 = ___ : 72
b. ___ : 18 = 5 : 9
c. 6: ___ = 36 : 36

Answers

A 9

B 10

C 6

Hope this helps;$

Answer:

a. 3:24 = 9:72.

b.  10:18 = 5:9.

c. 6:6 = 36:36.

Step-by-step explanation:

a.  72 / 24 = 3 so we multiply 3 by 3 to give 9.

b.  18/9 = 2  so we multiply 5 by 2 = 10.

c.  The answer is 6.

To find the slope, Jackie makes right triangle P by using the graph of the line as the hypotenuse of the triangle as shown in the figure. To check her work, she repeats the process and makes a right triangle Q as shown. Which statement explains why the slope of the line should be the same when calculated with either triangle?

A
The two triangles are similar.

B
The two triangles are congruent.

C
One triangle is a translation of the other triangle.

D
The lengths of the hypotenuse of each triangle are equal.

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A restaurant offers a "Create Your Own Pizza" menu option. There are 33 types of meat, 66 types of vegetables, and 33 kinds of cheese. Customers may choose one meat, one vegetable, and one cheese. Enter values to answer the questions below.

Enter values to answer the questions below.

1) How many different possible pizzas can be made by choosing one meat, one vegetable, and one cheese? (WHOLE NUMBER)
2) You decide to have the chef choose the toppings randomly. What is the probability that the chef will make a pizza with chicken, banana peppers, and ricotta cheese? (FRACTION)

Process would be helpful!

Answers

Answer:

54

Step-by-step explanation:

You have to do the number of options in each category by itsself

Find 100,000 more than 3,489,234.

Answers

Answer:

The answer is 3,589,234

Step-by-step explanation:

Because it basically means addition meaning you just have to add it 3,489,234 + 100,000 gives you the answer

21. In your day-to-day routines, you likely use measurement to cook or do home renovations, such as adding new tile flooring. How do you imagine that you will use measurement in your healthcare career?

Answers

Answer:

Depending of the exact career but measurements are plentiful in the healthcare business.

First, you'll most likely deal with weight and height... since that's part of most health care consultations.

Then, if you deal with medication, you'll use grams, milligrams, milliliters, liters all the time. depending if the medication is in solid or liquid form.

Even as a nutritionist, you'll deal with grams and such for portion sizes.

There are countless of ways you'll use maths and measurements in the healthcare sector.  

Answer:

Measurement can be used in healthcare career also. Like - the doctors and nurses are well trained to give medicines accurately as per measurement of milligrams or nano-gram. High doses can prove fatal with some medicines, so the correct measurement is very necessary.

Similarly, measurement is used in syrups. Like a child can be given upto 5 mg of syrup twice daily.

What is the maximum number of relative extremes contained in the graph of this function f(x)=3x^4-x^2+4x-2

Answers

Answer:

Final answer is 3.

Step-by-step explanation:

Given function is [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].

Now we need to find about what is the maximum number of relative extremes contained in the graph of the given function [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].

Degree of the given function = 4.

Because degree is the highest power of variable.

Then relative number of extremas = degree - 1 = 4 - 1 = 3

Hence final answer is 3.

What are all the possible values of x?
X3=216

Answers

[tex]\bf x^3=216\implies x=\sqrt[3]{216}\implies x=6[/tex]

Divide 216 by 3 to get your x-value

I need help with this question

Answers

Answer: First option.

Step-by-step explanation:

Given the function f(x):

 [tex]f(x)=2x-7[/tex]

And the function g(x):

[tex]g(x)=-6x-3[/tex]

You need to add them to get [tex]f(x)+g(x)[/tex]. Then:

 [tex]f(x)+g(x)=(2x-7)+(-6x-3)[/tex]

Therefore, when you add the like terms you get that [tex]f(x)+g(x)[/tex] is:

[tex]f(x)+g(x)=2x-7-6x-3[/tex]

[tex]f(x)+g(x)=-4x-10[/tex]

Since it is a linear function, the Domain is: All real numbers.

You can observe that the result obtained matches witht the first option.

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white. What is the probability that the rocket has landed in the grassy area, 0.2 0.3 0.4 0.6

Answers

Answer:

its 0.4

Step-by-step explanation:

Answer:

The answer is C) 0.4

Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

Please check linked image ^^

Answers

Answer:

A) P(stars) = 1/3

B) P(odd)= 4/7

C)P(solid grays or stars or striped)= 1

D)P(1,4 or 7)= 3/7

E)P(not striped)= 2/3

Step-by-step explanation:

Given:

sample set contains 1-7 solid gray, 1-7 stars and 1-7 striped cards

Let solid gray be x

stars be y

striped be z

then sample set be

1x,2x,3x,4x,5x,6x,7x,

1y,2y,3y,4y,5y,6y,7y,

1z,2z,3z,4z,5z,6z,7z

total number of cards in sample set =21

Now

a)Finding probability of stars

Number of star cards in above sample set = 7

P(stars)= 7/21

     P(y)=1/3

b)Finding probability of odd

Number of odd cards in above sample set = 12

P(odd)= 12/21

          =4/7

c)Finding probability of solid grays or stars or striped

P(solid grays or stars or striped) = P(x or y or z)

                                                      =P(x U y U z)

As the events are mutually exclusive

P(x U y U z)= P(x)+P(y)+P(z)

now P(x)= 1/3

P(y)=1/3

P(z)=1/3

P(x U y U z) = 1/3 + 1/3 + 1/3

                   = 3/3

                   =1

d)Finding probability of 1,4 or 7

Number of 1,4 or 7 cards in above sample set = 9

P(1,4 or 7) = P(1 U 4 U 7)

As the events are mutually exclusive

P(1,4 or 7) = P(1) + P(4) + P(7)

P(1)= 3/21

     =1/7

P(4)= 3/21

     =1/7

P(7)= 3/21

     =1/7

P(1,4 or 7)= 1/7 + 1/7 + 1/7

               =3/7

e)Finding probability of not striped

Number of not striped cards in above sample set = 14

P(not striped)= 14/21

                      = 2/3 !

If the mean of four numbers 2, 4, x and 6 is 5, then x is ?

Answers

Answer:

x = 8

Step-by-step explanation:

Step 1: Create an equation

(2+4+x+6) ÷ 4 = 5

Step 2: Solve the equation

(12+x) ÷ 4 = 5

(12+x) = 20

x = 8

The value of the unknown number x is 8.

The given numbers include:

2, 4, x, 6mean = 5

The sum of the given numbers is calculated as follows;

2 + 4 + x + 6 = 12 + x

The mean of the given 4 numbers is calculated as follows;

[tex]\frac{12 + x}{4} = 5\\\\12 + x = 20\\\\x = 20 -12\\\\x = 8[/tex]

Thus, the value of the unknown number x is 8.

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put the steps for rewriting the equation of a circle below in standard form completing the square in order

Answers

Answer:

a) 1.

f)6.

d)5.

c)7.

g)3.

e)4.

b)2.

Step-by-step explanation:

putting the steps for rewriting the equation of a circle below in standard form completing the square in order:

Step 1)

a. where 36 is added on both sides of the equation

as it is square of half of 12.

x^2 +12x+36 +y^2 +30y=24+36               ..........(1)

Step 2)

f. where 225 is added on both sides of equation as it is square of half of 30

x^2 +12x+36 +y^2 +30y+225=24+36+225             ............(6)

Step3)

d. adding numbers on r.h.s

x^2 +12x+36 +y^2 +30y+225=285             ............(5)

Step4)

c) Factoring the x values into binomial factors

(x+6)(x+6) +36 +y^2 +30y+225=285         .............(7)

Step5)

g) re-writing x factors as squares

(x+6)^2 +36 +y^2 +30y+225=285         ...............(3)

Step6)

e)Factoring the y values into binomial factors

(x+6)^2 +36 +(y+15)(y+15)=285             ...............(4)

Step7)

b)re-writing x factors as squares

(x+6)^2 +36 +(y+15)^2=285               ...........(2)!

consider the following precise wise-defined function

Answers

Answer:

11

Step-by-step explanation:

The x-value -4 is less than 3, so use the first formula for f:  x^2 - 5.

Then f(-4) = (-4)^2 - 5 = 11

A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function? (1 point) (2, 0), (3, 0), (−5, 0) (−2, 0), (−3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (−2, 0), (−3, 0), (−5, 0)

Answers

Answer:

(-2, 0), (-3, 0), and (5, 0)

Step-by-step explanation:

The x-intercept is found when y = 0.

So, we have to find x when (x + 2)(x + 3)(x - 5) = 0

We can do that by pulling apart all parts, because if one part = 0, the whole thing will have to be too (multiplication property of identity).

1. When x + 2 = 0, x = -2

2. When x + 3 = 0, x = -3

3. When x - 5 = 0, x = 5

That gives us (-2, 0), (-3, 0), and (5, 0)

Answer:

(-2, 0), (-3, 0) and (5, 0)

Step-by-step explanation:

x-intercepts are for

(x + 2)(x + 3)(x - 5) = 0

The product is equal to 0 if one of the factors is equal to 0.

Therefore

x + 2 = 0 or x + 3 = 0 or x - 5 = 9

x + 2 = 0     subtract 2 from both sides

x = -2

x + 3 = 0        subtract 3 from both sides

x = -3

x - 5 = 0              add 5 to both sides

x = 5

Point O is the center of the circle. What is the value of x?

Answers

Answer:

66°

Step-by-step explanation:

Since segments MN and MP are tangent to the circle, then

[tex]\angle MPO=\angle MNO=90^{\circ}[/tex]

The sum of the measures of all interior angles of the quadrilateral is equal to 360°, so

[tex]\angle NOP+\angle MPO+\angle MNO+\angle NMP=360^{\circ}\\ \\114^{\circ}+90^{\circ}+90^{\circ}+x^{\circ}=360^{\circ}\\ \\x^{\circ}=360^{\circ}-114^{\circ}-90^{\circ}-90^{\circ}\\ \\x^{\circ}=66^{\circ}[/tex]

Answer:

The value of x = 66°

Step-by-step explanation:

From the figure we can see that,

PM and MN are the tangent from the point M to the circle with center O

m<PON = 114°

To find the value of x

From the figure we can write,

m<PON + m<PMN = 180°

114 + x = 180

x = 180 - 114 = 66°

Therefore the value of x = 66°

Let f (x) = 1/x
and g(x) = x² – 3x. What
two numbers are not in the domain of fºg?

Answers

For this case we have the following equations:

[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x[/tex]

We must find [tex](f_ {o} g) (x):[/tex]

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = \frac {1} {x ^ 2-3x}[/tex]

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

[tex]x ^ 2-3x = 0\\x (x-3) = 0[/tex]

So, the roots are:

[tex]x_ {1} = 0\\x_ {2} = 3[/tex]

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

ANSWER

0 and 3

EXPLANATION

The given functions are

[tex]f(x) = \frac{1}{x} [/tex]

and

[tex]g(x) = {x}^{2} - 3x[/tex]

[tex]( f \circ g)(x) = f(g(x))[/tex]

[tex]( f \circ g)(x) = f( {x}^{2} -x )[/tex]

[tex]( f \circ g)(x) = \frac{1}{ {x}^{2} - 3x} [/tex]

Factor the numerator:

[tex]( f \circ g)(x) = \frac{1}{ x(x - 3)} [/tex]

The function will be undefined if the denominator is zero.

[tex]x(x - 3) \ne0[/tex]

[tex]x \ne0 \: and \: x \ne3[/tex]

Therefore 0 and not in the domain of the composed function.

What percent of 72 is 27?

Answers

if we take 72 as the 100%, what is 27 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 72&100\\ 27&x \end{array}\implies \cfrac{72}{27}=\cfrac{100}{x}\implies \cfrac{8}{3}=\cfrac{100}{x}\implies 8x=300 \\\\\\ x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5[/tex]

To calculate the percentage, divide the part (27) by the whole (72) and multiply by 100, resulting in 37.5%.

Percentage is a way of expressing a portion or fraction of a whole as a value out of 100. It is commonly used to compare relative quantities, represents proportions, or express the relationship between a part and a whole.

The term "percent" comes from the Latin phrase "per centum," which means "per hundred." It signifies that percentages are calculated on a scale of 100.

In practical terms, a percentage represents a fraction of a whole, where the whole is equal to 100%. It allows us to easily compare different quantities and understand their relative sizes or proportions.

To calculate a percentage, you typically divide the part (the specific quantity you want to express as a percentage) by the whole (the total or reference quantity) and then multiply by 100 to obtain the value as a percentage.

To calculate the percentage, you can divide the given number (27) by the total number (72) and then multiply the result by 100. So, to find out what percent 27 is of 72:

(27 ÷ 72) × 100 ≈ 37.5%

Therefore, 27 is approximately 37.5% of 72.

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Find the missing angle of a triangle if the first two values are 91* and 87 degrees

Answers

Answer:

The missing angle has a measure of 2 degrees.

Step-by-step explanation:

Every triangle's inner angles can be added and will always equal 180. Therefore, use subtraction to find any missing angle. In this case,

180 - 91 = 89

89 - 87 = 2

So, your answer is 2.

If the two angles of the triangle are 91° and 87°. Then the measure of the third angle of the triangle will be 2°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The two angles of the triangle are 91° and 87°.

Then the measure of the third angle of the triangle will be

Let x be the third angle. Then we have

91° + 87° + x = 180

                 x = 180° - 87° - 91°

                 x = 2°

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HELP ME PLEASE! I really need help on this question

Answers

Answer:

given

Step-by-step explanation:

The vertically opposite angles, ∠4 and ∠2 are equals.

What is vertically opposite angles?

Vertical angles are angles opposite each other where two lines cross.

What is linear pair?

A linear pair can be defined as two adjacent angles that add up to 180° or two angles which when combined together form a line or a straight angle.

According to the given question.

On line m, we have

∠4 + ∠1 = 180 degrees ...(i)    (by linear pair)

On line n, we have

∠1 + ∠2 = 180 degrees ...(ii)   (by linear pair)

from equation (i) and (ii)

∠4 + ∠1 = ∠1 + ∠2

⇒ ∠4 = ∠2

Hence, we proved that the vertically opposite angles ∠4 and ∠2 are equals.

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A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. which type of functions best model this situation?​

Answers

Answer:

Linear Function

[tex]y=4x+18[/tex]

Step-by-step explanation:

Let

x----> the time in hours

y----> the total inches of snow on the ground

we know that

The function that best model this situation is the linear function

so

[tex]y=mx+b[/tex]

In this problem

[tex]m=4\frac{in}{h}[/tex]

[tex]b=18\ in[/tex] ----> the y-intercept

substitute

[tex]y=4x+18[/tex]

Answer:

Linear decreasing function best model this situation and the required function is

f(x)=4x+18

Step-by-step explanation:

It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.

If a function has constant rate of change, then the it is a linear function.

It the given case the rate of change is constant so linear function best model this situation.

The slope intercept form of linear function is

[tex]f(x)=mx+b[/tex]           ... (1)

where, m is slope and b is y-intercept or initial value.

Ski resort has 18 inches of snow on the ground it means initial value is 18.

The snow is falling at a rate of 4 inches per hour. So, m=4.

Substitute m=4 and b=18 in equation (1).

[tex]f(x)=4x+18[/tex]

Therefore the required function is f(x)=4x+18.

Please help IDK how to do this!
A painter leans a 12 ft ladder against a building. The base of the ladder is 5 ft from the building. To the nearest foot, how high on the building does the ladder reach?

Answers

For this problem you must do Pythagorean theorem:

[tex]a^{2} + b^{2} =c^{2}[/tex]

In this example 10ft is c and 7ft is a (or it could be b, and you'll be solving for a instead of b. It's the same thing, since a and b are both legs)

Plug what you know into the equation:

[tex]7^{2} +b^{2} = 10^{2}[/tex]

49 +b^{2} = 100

Bring 49 to the right side by subtracting it:

b^{2} = 51

Now you still must isolate b. The opposite of squaring is taking the square root so take the square root of both sides to cancel it from the left side:

[tex]b =\sqrt{51}[/tex]

b = 7.1414

b ≈ 7 ft

Hope this helped!

find the magnitude and direction angle for the vector v = 5 cos 144°j

Answers

Answer:

5, 144°

Step-by-step explanation:

A vector with magnitude v and angle θ can be split into x and y components as:

vx = v cos θ

vy = v sin θ

Here, we're given the components and asked to find the magnitude and direction.  By matching, we can see the magnitude is 5 and the angle is 144°.

So the answer is 5, 144°.

What is the missimg term in this aeithmetic sequence 9,14,19,_29,34,

Answers

ANSWER

The missing term is 24

EXPLANATION

The given arithmetic sequence is 9,14,19,_29,34

We can observe that:

[tex]14 = 9 + 5[/tex]

[tex]19 = 14 + 5[/tex]

Let the missing term be x, then

[tex]x = 19 + 5[/tex]

[tex]x = 24[/tex]

Therefore the missing term is 24.

A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was invested at 11%?

Answers

Answer:

$3000 was invested at 11%.

Step-by-step explanation:

The total interest was $426.  This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).

Then e + v = $4200 total investment, and  

i = $426 = e(0.08)(1 year) + v(0.11)(1 year)

We eliminate the variable e as follows:  since e + v = $4200, e = $4200 - v.  Thus,

i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:

i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)  

This is one equation in one unknown, the amount of $ invested at 11%.

Performing the indicated multiplications:

426 = 4200(0.08) - 0.08v + 0.11v.  Simplifying this further, we get:

426 = 336 + 0.03v.

Then 90 = 0.03v, and v = 90 / 0.03 = $3000.

$3000 was invested at 11%.

Prove ABC~EDC ?
AA similarity theorem
ASA similarity theorem
AAS similarity theorem
SAS similarity theorem

Answers

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

AA (Angle-Angle) Similarity states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

Central Park in New York City is rectangular in shape, 4km in length and 0.8 km wide. How far would a run in central be?​

Answers

Answer:

basically you have to calculate the perimeter-

Step-by-step explanation:

4+4+0.8+0.8=8+1.6=9.6

First you need to find the parameter

P= (L x 2)+(W x 2)

P=(4km x 2)+(0.8km x 2)

P=8km+1.6km

P=9.6km

A mason is building a rectangular foundation wall that is to be 75 feet by 40 feet.what is the total distance around the wall?​

Answers

Answer: 230ft

Step-by-step explanation:

The perimeter is just all 4 sides added together, so,

75+75+40+40=230

The total distance around the wall is 230ft.

What is the scale factor?
AFGH - AMNO
G
9​

Answers

The scale factor [tex]\( k \)[/tex] is [tex]\( \frac{x}{6} = \frac{10}{6} = \frac{5}{3} \)[/tex].

The scale factor between two similar triangles is the ratio of the corresponding side lengths. In this case, we can find the scale factor by comparing the corresponding sides of triangles FGH and MNO.

Let's denote the scale factor as [tex]\( k \)[/tex]:

[tex]\[ k = \frac{MN}{FG} \][/tex]

Given that NO = 15 units and FG = 6 units, and MN is denoted as [tex]\( x \)[/tex], we can substitute these values into the formula and solve for [tex]\( x \)[/tex]:

[tex]\[ k = \frac{x}{6} \][/tex]

Since [tex]\( k = \frac{NO}{FG} \)[/tex] we can set up the equation:

[tex]\[ \frac{x}{6} = \frac{15}{9} \][/tex]

Now, solve for [tex]\( x \)[/tex]:

[tex]\[ x = \frac{15}{9} \times 6 \][/tex]

[tex]\[ x = 10 \][/tex]

So, the scale factor [tex]\( k \)[/tex] is [tex]\( \frac{x}{6} = \frac{10}{6} = \frac{5}{3} \)[/tex].

The scale factor of the given figures is 5 : 3.

The value of x is 10

What is the scale factor?

Scale factor is calculated by finding the ratio of the dimensions of the new shape to the dimensions of the original shape.

15 : 9 = x : 6

15/9 = x/6

Cross product

15 × 6 = 9 × x

90 = 9x

Divide both sides by 9

x = 90/9

x = 10

Therefore, the scale factor 15 : 9

= 15/9

= 5/3

= 5 : 3

Other Questions
Meiosis is a type of cell division in which germ cells divide to produce haploid cells. Where does meiosis occur?A. Muscle CellsB. Bone CellsC. Ovary CellsD. Brain Cells What can Muslims not do? Read the passage. (1) Does cell phone use lead to harmful effects from radiation? (2) Many Americans would love to know the answer, since cell phone use is at an all-time high. (3) Cell phone users abound, most are not well informed about the potential hazards associated with cell phones. (4) Therefore, cell phones should come labeled with information regarding the dangers of using them. Which transition would be best to use at the beginning of sentence 3? Most importantly In addition Although Therefore PLEASE HELP RIGHT AWAY Est-ce que tu aimes les feuilletons? a. Elle adore les feuilletons. b. Tu aimes les feuilletons. c. Jaime les films. d. Jaime un peu les feuilletons. Please help :3Select EACH correct answer Which sentence in this excerpt from The Time Machine by H. G. Wells indicates that the narrator has little hope for the Time Travellers return?Which sentence in this excerpt from The Time Machine by H. G. Wells indicates that the narrator has little hope for the Time Travellers return?I felt an unreasonable amazement. I knew that something strange had happened, and for the moment could not distinguish what the strange thing might be. As I stood staring, the door into the garden opened, and the man-servant appeared. We looked at each other. Then ideas began to come. "Has Mr. gone out that way? " said I. "No, sir. No one has come out this way. I was expecting to find him here." At that I understood. At the risk of disappointing Richardson I stayed on, waiting for the Time Traveller; waiting for the second, perhaps still stranger story, and the specimens and photographs he would bring with him. But I am beginning now to fear that I must wait a lifetime. The Time Traveller vanished three years ago. And, as everybody knows now, he has never returned. angle S is 90 degrees and angle T is 45 degrees. side ST is 3 ft. how long is side SU Identify two events that helped Octavian to become the only ruler of the Roman Empire. 1 Julius Caesar named Octavian as his heir. 2 Octavian successfully invaded Egypt, causing his rival Mark Antony to kill himself. 3 Octavian formed an alliance with Queen Cleopatra of Egypt. 4 Julius Caesar was deeply unpopular among the plebeians of Rome. 5 Antony and Lepidus supported Octavians rise to power. Simplify 8^3 using scientific calculator SOMEONE HELP !!!!!!!!!! which of the following is an example of an unsecured bank loancredit card debtbank overdraftscorporate bondsall of the above What is the product of (-1/4)x(-3/7) In "The Most Dangerous Game," Sanger Rainsford says "I am a hunter, not a murderer" when he finds out that Zaroff hunts humans. Based on this statement, what can be inferred about Rainsford's ideas? Rainsford thinks killing for sport is murder. Rainsford believes killing humans is murder but has no problem killing animals. Rainsford believes Zaroff is a murderer because he hunts humans. Rainsford thinks Zaroff is a murderer because he kills exotic animals. Rainsford mocks Zaroff for thinking killing animals is the same as murder. Reset Next what is the outlier in the following set 28,31,40,26,38,65,39,35,30 Which statement would best support the claim that the government shouldnot take a leading role in developing public policy?A. Government leaders have the greatest expertise in solvingproblems in our country.B. Public policy is not as important as how people act within theirown families and communities.C. Creating good policies requires both in-depth knowledge ofgovernment and fresh ideas from outside government.D. The best ideas for solving problems in our society come fromordinary people. At first, Mary Magdalene thought the risen Jesus was a gardener.TrueFalse Please help me with all of it please help me i need help A science class designed a container to protect an egg. Each prototype is launched from a machine at 9.4 meters per second from a roof 40 meters tall. The function f(t) = 4.9t2 + 9.4t + 40 represents the path from the building to the ground on the t-axis, where t is the amount of time since the launch.How do the mathematical range and reasonable range compare?mathematical: y 52 reasonable: y 0mathematical: y 52 reasonable: y 40mathematical: y 52 reasonable: 0 y 52mathematical: y 52 reasonable: 40 y 52 Steam Workshop Downloader