What is 2x^2+3x-9? i need help finding this answer

Answers

Answer 1
Factoring this equation, your answer is:

(2x−3)(x+3)

HAVE A NICE DAY!

Answer 2

Answer:

x=3/2 or x=-3

Step-by-step explanation:

first off equate the equation to zero

2x²+3x-9=0

then using factorisation method multiply 2 and -9 to get -18.

factors of -18 include +6 and -3

2x²+6x-3x-9=0

then factorise it

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

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

2x=3 x+3=0

x=3/2 or -3


Related Questions

The following table shows how the average constituency changes for two regional governing boards, joshua and salinas, when a new representative is added to each board.
joshua's
average
constituency salinas's
average
constituency
joshua receives
new board
member 1232 1520
salinas receives
new board
member 1448 1333
(a) determine the relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas. round to the nearest thousandth.


(b) determine the relative unfairness of an apportionment that gives a new board member to salinas rather than to joshua. round to the nearest thousandth.


(c) using the apportionment principle, determine which regional governing board should receive the new board member.
joshua
salinas

Answers

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be

How to calculate the values?

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:

= (1520 - 1232)/1232

= 288/1232

= 0.234

The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:

= (1448 - 1333)/1333

= 115/1333

= 0.086

The regional governing board that should receive the new board member is Salinas.

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If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one
represented in the table?
x y
5 11
10 22
15 33
10
9
3
022 Edmentum. All rights reserved.

Answers

The points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

How to determine the points?

The table and the graph that complete the question are added as an attachment

Start by calculating the slope of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (22 - 11)/(10 - 5)

m = 2.2

Next, we calculate the slope of each point on the graph when connected to the origin using:

m = y/x

So, we have:

(2,8) ⇒ m = 8/2 = 4

(3,9) ⇒ m = 9/2 = 3

(4,10) ⇒ m = 10/4 = 2.5

(5,8) ⇒ m = 8/5 = 1.6

(6,7) ⇒ m = 7/6 = 1.2

(7,6) ⇒ m = 6/7 = 0.9

By comparing the slopes with 2.2, we can see that only points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

Hence, the points are (2, 8), (3, 9) and (4, 10).

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Answer: The points: (5,8) (6,7) (7,6)

Step-by-step explanation: I took the test and the points going ↘️ (down) are correct but the points ↖️ (up) are incorrect

The original price of a hat is $35. The sale price is $19.95. What is the percent of discount?

Answers

Answer:

43%

Step-by-step explanation:

19.95 ÷ 35 = .57 or 57%

100 - 57 = 43

What is the solution for x in the equation?
-2x+14+ 10x=34
OA. x = 6
OB. x = 5/2
OC. x = 1/8
OD. x = 2/5

Answers

Answer:

B. x = 5/2

Step-by-step explanation:

-2x+14+ 10x=34

-2x+10x=34-14

8x=20

x=20/8 =5/2

Nick wants to write a 1,260 page science-fiction novel.
How many pages will Nick need to write each month to finish his novel in 1 year?

Answers

105 pages a month

Divide 1,260 by 12 cuz there’s 12 months in a year and you get 105

1 year = 12 months

Pages to write in 12 months = 1260

Pages to write in 1 month = 1260/12

= 105 pages per month

Which measurements could create more than one triangle?
A. Angles measuring 85°, 45°, and 60°
B. Angles measuring 95°, 35°, and 50⁰
C. Sides measuring 8 cm and 15 cm and an included angle measuring 60°
D. Sides measuring 5 inches, 7 inches, and 13 inches

Answers

Answer:

A.

Step-by-step explanation:

The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.

Which are applications of mathematics in music? Select all that apply.

identifying measurements
calculating beats per minute
calculating the time signature
finding ratios of note frequencies
mapping marching band performances

Answers

Answer:

calculating beats per minute

Which table represents a linear function?
X
X
y
1
1
1
2
2
1
2
3
4
34
O
122
1/7/2
O
y
1
121314
X
1
2
3
4
X
1
2
3
14
O
y
7
9
13
21
y
0
6
16
30

Answers

the third one

Step-by-step explanation:

HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

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what type of function is this?​

Answers

Answer:

It's a sech x function

Step-by-step explanation:

Explanation is in attached file

it is a sech x function

For the complex number z = (5sqrt(3))/4 - 5/4 * i what is the polar form

Answers

Answer: 3

Step-by-step explanation:

The required polar form of the equation is [tex]Z = 5/2cos30 - 5/2sin30i.[/tex]

For the complex number z = (5sqrt(3))/4 - 5/4 * i the polar form is to be determined.

What is a complex number?

The number that constitutes real and imaginary numbers are called complex numbers. The standard form of complex number = a + bi

[tex]z = 5\sqrt{3}/4 - 5/4i[/tex]
the polar form complex numbner  can be given as
[tex]z = rcos\theta +rsin\theta i[/tex]   - - - - - -(1)
where r = [tex]\sqrt{a^2+b^2}[/tex]
and [tex]\theta=tan^-\frac{b}{a}[/tex]

Since a = 5√3/4 and b = -5/4
[tex]r = \sqrt{(5\sqrt{3}/4)^2+(5/4)^2}[/tex]
r = 10/4
r = 5/2
Now,
[tex]\theta=tan^-\frac{b}{a}[/tex]
[tex]\theta=tan^-\frac{-5/4}{5\sqrt{3}/4 }\\\theta=tan^-\frac{1}{\sqrt{3} }\\\theta=tan^-(-tan30)\\\theta=-30[/tex]

Now the polar form is given by substituting the values of r and [tex]\theta[/tex] in equation 1
Here,
[tex]z = 5/2cos30 +5/2sin(-30)i\\z = 5/2cos30-5/2sin30 i[/tex]


Thus, the required polar form of the equation is [tex]Z = 5/2cos30 - 5/2sin30i.[/tex]


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13) Circle O is shown with point A, B, C, and D on Circle O.


If x = 50, what is the value of y and the angle measurement of angle AOB?


y = _____

m
(25) (50) (100) (not enough information)

Answers

The value of y is 50

The angle measurement of angle AOB is 100°

Circle Geometry

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the same segment are equal

In the given diagram, and are angles in the same segment

∴ x° = y°

From the given information,

x = 50

∴ y = 50

Hence, the value of y is 50

Also, from another circle theorem,

Angle at the center is twice the angle at the circumference

∴ ∠AOB = 2x° = 2y°

Then,

∠AOB = 2×50°

∠AOB = 100°

Hence, the angle measurement of angle AOB is 100°

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I saw this in a newspaper – it was a puzzle for adults, fully grown humans, but I think you will find it easy.


All the digits from 1 to 9 are used in this grid, but only once. Can you work out their positions in the grid so that each of the six different sums work?


Two of the numbers have been inserted in order to get you started. Just identify the other seven numbers.


(NOTE: perform operations in the order they appear, e.g., 3+4×5=35 (not 23))
a=
b=
c=
d=
e=
f=

Answers

Answer:

d=9

Step-by-step explanation:

any other idea

helpp plss

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. cubes boxes number of cubes 1 n 5 625 8 1,000 what is the unknown value representing the unit rate? 8 125 140 156

Answers

The unknown value representing the unit rate is 125.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.

Cubes boxes   number of cubes

1                        5

n                       625

8                        1,000

If the unit cube box has 5 number of cubes.

then,

n cubes boxes = 625/5

                         = 125

The unknown value representing the unit rate is 125.

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Answer:

125

Step-by-step explanation:

Parallel to y=−3/4x, through (4, -1)
Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

y = ___x + ___

Answers

Answer:

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

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= [tex]-\frac{3}{4}[/tex]

Parallel lines have the same slope. Thus, the slope of the line would also be [tex]-\frac{3}{4}[/tex].

[tex]y=-\frac{3}{4}x +c[/tex]

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

[tex]-1=-\frac{3}{4} (4)+c[/tex]

-1= -3 +c

Add 3 to both sides:

c= -1 +3

c= 2

Thus, the equation of the line is [tex]\bf{y=-\frac{3}{4}x+2[/tex].

Additional:

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. Here is a table that shows the ratio of flour to water in an art paste. Complete the table with values in equivalent ratios.​

Answers

You can’t see the table

The oblique prism below has an isosceles right triangle
base.
x
(x+2)
(x+3)
Mark this and return
53:21
What expression represents the volume of the prism, in
cubic units?
01/2+2²
028+22²
02 +2
O²+37²2²
Save and Exit
Submit
Next

Answers

The volume of the prism, in cubic units is V = 1/2*x³ + x²

The figure and options are in the figure attached

What is an Oblique Prism ?

An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .

It is given that

The oblique prism below has an isosceles right triangle base.

In the figure attached, the oblique prism is shown.

The volume of the prism is  given by

V = b*h

h is the height and b is the Area of the base

It is given that the base is an isosceles right triangle, its area is:

Area of a Triangle = (1/2) base * height

here the base and height is x

b = 1/2*x²

The height of the prism is (x + 2).

Then, the volume is:

V = 1/2*x²*(x + 2)

V = 1/2*x³ + x² cu. units

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Through aregular hexagonal prism whose base edge is 8cm whose height 12 cm ahole in the shape of aright prism with its end being arhombus with diagonals 6cm and 8cm is drilled find total surface area of remaining solid and the volume

Answers

Answer:

96 cm2, 48 cm2

Step-by-step explanation:

Basically you times the first two questions and then the other 2, that leads you with the answer

hello people, can anybody solve it ​

Answers

[tex]\\ \rm\Rrightarrow \left(\dfrac{x^a}{x^{-b}}\right)^{a^2-ab+b^2}\times \left(\dfrac{x^b}{x^{-c}}\right)^{b^2-bc+c^2}\times \left(\dfrac{x^c}{x^{-a}}\right)^{c^2-ca+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow (x^{a+b})^{a^2-ab+b^2}\times (x^{b+c})^{b^2-bc+c^2}\times (x^{c+a})^{c^2-ac+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{(a+b)(a^2-ab+b^2)}\times x^{(b+c)(b^2-bc+c^2)}\times x^{(c+a)(c^2-ca+a^2)}=1[/tex]

a³+b³=(a+b)(a²-ab+b²)

[tex]\\ \rm\Rrightarrow x^{a^3+b^3}\times x^{b^3+c^3}\times x^{c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{a^3+b^3+b^3+c^3+c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{2a^3+2b^3+2c^3}=x^0[/tex]

[tex]\\ \rm\Rrightarrow 2(a^3+b^3+c^3)=0[/tex]

[tex]\\ \rm\Rrightarrow a^3+b^3+c^3=0[/tex]

Teri was 10 km race she has completed 74% of the way race when the winner crosses to finish there are approximately 2.48 miles in 4 km how many more miles does Terry need to run when the winner crosses the finish line answer to the nearest 10th

Answers

The distance Terry needs to run when the winner crosses the finish line is 1. 6 miles.

How to find the distance Terry needs to run?

The race was a 10 km race and she has completed 74% of the race when the winner crosses the finish line.

Therefore, the number of more miles Terry need to cover can be calculated as follows:

74 / 100 × 10 = 740  / 100  = 7.4 km

He has covered 7.4 km.

The distance remaining to cover = 10 km - 7.4 km = 2.6 km

Therefore,

4km  = 2.48 miles

2.6 km = ?

cross multiply

The distance remaining to cover(miles) = 2.6 × 2.48 / 4

The distance remaining to cover(miles) = 6.448 / 4

The distance remaining to cover(miles) = 1.612

The distance remaining to cover(miles) = 1.6 miles

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Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
21,24,24,27,29
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.
push-ups

Answers

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = [tex]\frac{Σ(xi - μ)^{2} }{N}[/tex]

[tex]\frac{(21 - 25)2 + ... + (29 - 25)2}{5}[/tex]

⇒ [tex]\frac{38}{5}[/tex]

⇒ 7.6

σ =  [tex]\sqrt{7.6}[/tex]

⇒   2.756809750418

⇒ or 2.76

Sid has a water dispenser in his refrigerator as shown in the figure.
PLS HELP!

A prism has a length of 4 inches, height of 14 inches, and width of 8 inches.

Sid would like to have three water dispensers in his refrigerator. How much cubic space will all three dispensers take up in Sid’s refrigerator?

448 in.3

896 in.3

1,200 in.3

1,344 in.3

Answers

Answer:

c. I'm sorry if I'm wrong

Step-by-step explanation:

50% if £80 pls helppp

Answers

Answer:

50%×€80

50/100×80

€40

Step-by-step explanation:

please mark me as brainlest

Answer:

£40

Step-by-step explanation:

▪︎ Method I:

£80 - 100%

£x - 50%

x = (£80 * 50%) / 100% = £40

▪︎ Method II:

50% is one half

Therefore, 50% of £80 is £80 / 2 = £40

What is the difference between the highest and lowest points in a data set?the mean the median the mode the range

Answers

Answer:

Range

Step-by-step explanation:

Range is found by subtracting the highest and lowest point in the dataset

Mode is the number that occurs most frequently in the set

Median is the central number in the dataset when arranged from lowest to highest

Mean is the sum of all the numbers in the dataset divided by how many numbers there are.

For example, take this list of numbers: 10, 10, 20, 40, 70.

The mean (also known as average) is found by: 10 + 10 + 20 + 40 + 70 / 5 = 30.

The median is found by ordering the set from lowest to highest and finding the exact middle. The median is just the middle number: 20.

four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true
Joe said the answer is 6. Sam said it is impossible to answer.
Peter said the answer is 32. Alex said the answer is 16.
Who is correct? Explain why.

Answers

Let's solve ourselves instead of believing anyone

[tex]\\ \rm\Rrightarrow (x^2)^7=x^4x^8[/tex]

a^m+a^n=a^m+n

[tex]\\ \rm\Rrightarrow x^{14}=x^{4+8}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}=x^{12}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}-x^{12}=0[/tex]

[tex]\\ \rm\Rrightarrow x^{12}(x^2-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-1=0[/tex]

[tex]\\ \rm\Rrightarrow x^2=1[/tex]

[tex]\\ \rm\Rrightarrow x=\pm 1[/tex]

0 is also a solution

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

[tex](x^2)^?=x^4 \cdot x^8[/tex]

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

First, simplify the equation by applying exponent rules to either side of the equation:

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:[/tex]

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^{4+8}[/tex]

[tex]\implies x^{2y}=x^{12}[/tex]

Now, apply the exponent rule:

[tex]x^{f(x)}=x^{g(x)} \implies f(x)=g(x)[/tex]

Therefore,

[tex]x^{2y}=x^{12}\implies 2y=12[/tex]

Finally, solve for y:

[tex]\implies 2y=12[/tex]

[tex]\implies 2y \div 2 = 12 \div 2[/tex]

[tex]\implies y=6[/tex]

Therefore, Joe is correct as the unknown number is 6.

MATH!!! 15 points;))) find the surface area of the composite figure
please answer correctly and check over your work...

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of the composite figure is 76.8 ft².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the composite figure,

Surface area = 2(3.6×2) + (4×2) + 3(3.6×4) + 2(5.6)

                       = 14.4 + 8 + 43.2 + 11.2

                       = 76.8

Hence, the surface area of the composite figure is 76.8 ft².

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What is the height??

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have given

One isosceles triangle that means the given triangle having two sides equal. The dimensions of the triangle are 21cm, 21 cm and 16 cm.

Consider the given triangle as ABC . In ΔABC, AD acts as a median. It means Angle ADB = 90°

Therefore,

By using Pythagoras theorem,

It states that the sum of the squares of base and perpendicular height is equal to the square of the hypotenuse.

That is,

[tex]\bold{ ( Hypotenuse) ^{2} = (Perpendicular) ^{2} + (base) ^{2}}[/tex]

Subsitute the required values

[tex]\sf{ AC^{2} = AB^{2} + BC^{2}}[/tex]

[tex]\sf{ (21)^{2} = (h) ^{2} + (16)^{2}}[/tex]

[tex]\sf{ 441 = (h)^{2} + 256}[/tex]

[tex]\sf{ (h)^{2} = 441 - 256}[/tex]

[tex]\sf{ h^{2} = 185}[/tex]

[tex]\sf{ h = \sqrt{185}}[/tex]

[tex]\bold{ h = 13.6 \: cm}[/tex]

Hence, The required height of the given isosceles triangle is 13.6 cm.

[ Note :- you can also solve this problem by using Heron's Formula but it's too lengthy to solve that's why I have used simple method ]

K is an example of.
O an equation
O a formula
O a constant
O a variable

Answers

the answer is (a variable)

Answer:

a variable.

Step-by-step explanation:

I know this because I had a test today that I studied for but I of course failed it…

It was for math.

6. What is the measure of angle A rounded to two decimal places? 15 A) 25.02° B)27.82° C) 62.18° D)64.98°

Answers

sin A=Perpendicular/ Hypotenuse

sin A   = 7/15

A= arcsin(7/15)

 = 27,82 degree

Answer is option (B)

A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola

Answers

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

What is a Parabola ?

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

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When planning a narrative essay, the writer should order events so that theis developed in the middle of the essay e^In(8) use the properties of natural logarithms to simplify the expression After reading the passage about acupuncture, identify which statement supports theclaim that acupuncture relieves pain.It is ancient, alternative medicine that has been used for thousands of years.If you do research, you can find the specific types of pain that acupuncture will effectively relieve.A New York Times reporter wrote about the effectiveness of this treatment in relieving his surgery pain.The National Institutes of Health found it effective in reducing pain and other symptoms, but it is not clear how it works. How could a video best build on the idea of ""job safety"" from the interview? a video could explain that disease detectives take precautions to keep themselves safe while they are working. a video could present the opinion that seeing the world is worth the risk of working with deadly diseases. a video could show the different materials that disease detectives use to protect themselves while they are working. a video could show dr. dowell and his family on an adventure in a different part of the world. SITUATION- 1. Juan's bike has been stolen by his neighbour and his cousin saw the incident. When he confronted Potpot, his neighbor, he denied it Juan was so angry, he kicked Potpot who fell unconscious on the floor 2. Mayumi, 13 years old, forgot to fetch her younger sister from the Day Care Center. When she arrived home, her mother was so mad, she was asked to go back to school and has to walk that half kilometre distance. This, she was told as a punishment to her for being forgetful 3. For creating so much noise while their father was asleep, Nono and his brother were asked to squat, facing the wall for 15 minutes. MY NON-VIOLENT SOLUTION-Juan was so angry, he thought of punishing Potpot real hard. He would like to box him in the face, but he knew this was wrong. So, he controlled himself and instead. told Potpot's parents about it Potpot was asked to say sorry to Juan and promised to return the bike as soon as possibleplease pa help pow lunes pasahan namin need ko ngayon To evaluate the text structures used by the author, which questions should a reader ask? Select 3 options.What opinions are conveyed within the text?What important ideas does the text include?What text structures does the author use?How effective is the text structure in sharing the important ideas?How has the author supported the main ideas in the text? Pettit printing company has a total market value of $100 million, consisting of 1 million shares selling for $50 per share and $50 million of 10 percent perpetual bonds now selling at par. the company's ebit is $13.24 million, and its tax rate is 15 percent. pettit can change its capital structure by either increasing its debt to 70 percent (base on market value) or decrease it to 30 percent. if its decides to increase its use of leverage, it must call its old bonds and issue new ones with a 12 percent coupon. if it decides to decrease its leverage, it will call in its old bonds and replace them with new 8 percent coupon bonds. the company wills ell or repurchase stock at the new equilibrium price to complete the capital structure change. the firm pays out all earnings as dividends; hence; its stock is a zero growth stock. its current cost of equity, rs; is 14 percent. if it increases leverage rs will be 16 percent. if it decreases leverage, rs will be 13 percent. what is the firm's wacc and total corporate value under each capital structure? Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78. Will the ladder be safe at this height? Show your work and label the diagram to support your answer. Which justification for the demonstrations in Birmingham is the most powerful in your opinion? 10 sentence paragraph pls!!! How do i add and subtract If x and y are supplementary angles, then x is _____ obtuse.answer choices - always, sometimes, or never. Charlotte is buying milk. She can get 64 oz. for $3.00 or 80 oz. for $4.50. Which is the better deal, 64 oz. or 80 oz.? Read these lines spoken by Nurse and Lady Capulet in Act I, scene iii of Romeo and Juliet.Nurse: Faith, I can tell her age unto an hour.Lady Capulet: Shes not fourteen.Nurse: Ill lay fourteen of my teethAnd yet to my teen be it spoken I have but fourShe is not fourteen.These lines allow the reader to see Nurses . After finishing high school, Cara joined the Peace Corps as a volunteer. She traveled to Africa and learned to construct simple buildings that would serve as schools and hospitals for small villages. Even though she was not paid for her work, how might Caras experience benefit her in the future?A. Cara could list the skills she learned volunteering on her resume.B. Cara could develop a side business selling American products to the villagers.C. Cara could present her time in the Peace Corps as college education.D. Cara could now qualify for a medical license. Carlos invests $4540 at a rate of r% per year compound interest.At the end of 10 years he has earned $1328.54 in interest.Calculate the value of r. y=-3 +4 step by step of the rules and formula of this equation 2. List the gametes of a plant of genotype SSYy. need answer fast