f(x) = 3x - 2x - 5

Factoring quadratics

Answers

Answer 1

Answer:

[tex](3x -5)(x+1)[/tex]

Step-by-step explanation:

Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]


Related Questions

These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)

Answers

Answer:

x=4, perimeter is 30.

Step-by-step explanation:

Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.

[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]

At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.

What quadrilaterals can you draw that have two sides with length 8 cm and two sides with length
5 cm?
Which of these quadrilaterals can have two sides with length
8 cm and two sides with length 5 cm?
Select all that apply.
OA. Trapezoid
OB. Square
OC. Parallelogram
OD. Rectangle
E. Kite

Answers

Answer:

C. parallelogram

D. rectangle

E. kite

Step-by-step explanation:

Cannot be the square because all sides are the same. A trapezoid can have two sides the same, but not two pairs of equal sides. The remaining shapes can have two pairs of equal length sides. see image.

Anyone know the answer to all of them added together

Answers

Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

[tex]13x+14[/tex]

Step-by-step explanation:

First take all the sides and add:

[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]

Then Combine Like terms:

[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]

There is your answer:

[tex]13x+14[/tex]

(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)

Maryan harvested a total of 22.69 t of rice and sold it in 100 kg bags. how many full bags did she sell​

Answers

Answer:

1t = 1000kg

22.69 x 1000= 22690 kg

22690 kg ÷ 100 = 226.9

I would usually round it to 227 but I would say 226, since they are asking how many full bags she sold.

Miranda's heart beats 3 times every 2 secounds. At that rate, how many times does her heart beat in 1 minute?

Answers

60/2 =30

30 x 3 = 90

Answer is 90

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel

Answers

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Answer:

B - 2093 in cubed

Step-by-step explanation:

Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.

Hopefully this helps- let me know if you have any questions!

Answer:V≈268.08

Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae

NO LINKS PLEASE
I NEED THEM TODAY
NO LINKS!!!

Answers

Answer:

13. True, False, True

14. False, True, True

15. All true

please help asap



For each relation, decide whether or not it is a function. ​

Answers

Answer:

Step-by-step explanation:

Refer to the definition of a function. I'll just give you a layman's definition to be concise.

For something to be a function, there needs to be exactly 1 output for every input. You cannot have a case where you input 1 value, and get 2 or more values as an output.

In math we call all the possible input values the domain, and we call all the possible output values the range.

Let's take a look at each situation on your worksheet.

1. Is a function. This is because only one arrow stems from each input value. There are cases where the different input values give the same output, sure, but each input returns 1 discrete thing, not an array of things.

(Think of it this way, if i had a machine that could answer any question I had with yes, no or maybe. I wouldn't want the machine to give me "yes and maybe" or "yes and no" as the result when I ask it a question. That doesn't make sense and I would think the machine is broken. What could happen, is that I ask the machine different questions, and for those different questions, it gave me the same answer, like "yes" and "yes" respectively. in that case, it would be acceptable, because it isn't contradicting itself for any individual question.)

2. Not a function. There are 2 different output values for b.

(Refer back to my machine analogy. The "machine" in this question is contradicting itself. I gave the machine one input, and the machine is telling me, "it's this and actually it's this other thing too")

3. Is a function for the same reasons as 1.

4. Isn't a function.

(It's basically telling you, the machine reads -6 as -4, but it also reads -6 as 0, and also 2. And it also tells you the machine reads -4 as -3, but it also reads it as 8. Again, the machine should only read 1 input in 1 way and not contradict itself. )

Solve for b
SOLVE ASAP!!

Answers

Answer:

Step-by-step explanation:

<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.

When that happens <A = <B

8x + 78 = 2x + 114                      Subtract 2x from both sides.

8x - 2x + 78 = 2x - 2x + 114       Combine

6x + 78 = 114                              Subtract 78 from both sides

6x + 78 - 78 = 114 - 78

6x = 36                                       Divide by 6

6x/6 = 36/6

x = 6

I think you are asked for B

<B = 2x + 114

<B = 2*6 + 114

<B = 12 + 114

<B = 126

Please help! I don't know what answer b is, but i know a, thank you.

Answers

They are corresponding angles

Step-by-step explanation:

We know that x=75 because

[tex]180 - 105 = 75[/tex]

75⁰ is angle EFB

Since we know this, and because we know that AD//EH,

We can conclude that x=75(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)

What is the diameter of a hemisphere with the volume of 74466

Answers

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=74466 \end{cases}\implies 74466=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3} \\\\\\ 74466=\cfrac{2\pi r^3}{3}\implies 223398=2\pi r^3\implies \cfrac{22398}{2\pi }=r^3\implies \cfrac{111699}{\pi }=r^3 \\\\\\ \sqrt[3]{\cfrac{111699}{\pi }}=r~\hfill \stackrel{\textit{diameter = 2r}}{2\sqrt[3]{\cfrac{111699}{\pi }}\implies \sqrt[3]{\cfrac{893592}{\pi }}}~~ \boxed{\approx~~65.77}[/tex]

I hate these types of problems
I was never taught this stuff

Answers

I’m not in geometry but i think that the answer might be 36. Because you’re finding perimeter and perimeter is adding up all the sides. So, it would be 10+10+8+8=36

The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?

Answers

Answer:

  5 m

Step-by-step explanation:

The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.

__

  square area = trapezoid area - triangle area

  square area = 57.5 m² -32.5 m² = 25 m²

Then the side length is ...

  side length = √(square area) = √(25 m²)

  side length = 5 m

The length of a side of the square is 5 m.

Find the equation of the line shown.

Answers

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

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The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
which of these shows a correct step for determining the center and radius of this circle? choose all that are correct.
(2x2 – 8x + 16) + (2y2 – 12y + 36) = -16 + 36
(x - 4)2 + (y - 9)2 = 5
(x2 - 4x + 4) + (y2 – 6y + 9) = -8 +13
ox? + y2 - 4x - 6y = -16
(x - 2)2 + (y - 3)2 = 5

Answers

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?

–10
–4
2
8

Answers

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

Intercept of a function

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

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The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.

Answers

22 + 22 x r = 30

22 x r = 30 - 22

r = 8 : 22

r = +36,36%

r = increase rate


[tex] \sf \large \: find \: \frac{dy}{dx} \: if \: x=a ( \Theta + sin \Theta ) , y= a (1- Cos \Theta ) \: at \: \Theta = \frac{π}{2} \\ \\ \\ \\ \\ [/tex]

Kindly Don't Spàm!
Thanks!!!!​

Answers

Given :

[tex] \: \: \: [/tex]

[tex] \rm \large \: x = a ( \Theta + Sin \Theta )[/tex]

[tex] \: \: \: [/tex]

[tex] \rm \large y = a ( 1 - cos \: \Theta )[/tex]

[tex] \: \: [/tex]

Now , x = a ( θ + sin θ )

[tex] \: \: [/tex]

Diff w.r.t " θ "

[tex] \: \: \: [/tex]

[tex] \rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}[/tex]

[tex] \: \: [/tex]

Now y = a ( 1-cosθ)

[tex] \: \: [/tex]

Diff w.r.t " θ " we get .

[tex] \: \: [/tex]

[tex] \rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta) [/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}[/tex]

[tex] \: \: \: [/tex]

From eqn ( 1 ) & ( 2 )

[tex] \: \: [/tex]

[tex] \rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}} [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: = \frac{sin \theta}{1 + \cos \theta } [/tex]

[tex] \: \: \: [/tex]

[tex] \rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )[/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} } [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: = tan( \frac{ \theta}{4} )[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

What operation can you use on both sides of the equation 100=100 +y to solve the equation for y? Solve the equation for y.

Answers

The equation 100 = 100 + y is an algebraic equation

The operation is subtraction property of equality, and the value of y is 0

How to solve the equation?

The equation is given as:

100 = 100 + y

To solve for y, we apply the following operation

Operation: subtraction property of equality

So, we have:

100 - 100 = 100 - 100 + y

Evaluate the differences

0 = y

Rewrite as:

y = 0

Hence, the operation is subtraction property of equality, and the value of y is 0

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These two pentagons are similar.​

Answers

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Evaluate the triple integral. X dv, where e is bounded by the paraboloid x = 4y2 4z2 and the plane x = 4. E

Answers

The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762

Parabloid, x = 4y² + 4z²

plane x = 4

x = 4y² + 4z²

x = 4

4 = 4y² + 4z²

4 = 4 (y² + z² )

1 = y² + z²

from polar coordinates

y = r cos θ

z = r sin θ

r² = y² + z²

The limits of the integral

0 ≤ θ ≤ 2π

4r² ≤ x ≤ 4

0 ≤ r ≤ 1

[tex]\int\limits\int\limits\int\limits {x} \, dV = \int\limits^1_0\int\limits^a_b\int\limits^c_d {x} \, dx ( rdrdz)[/tex]

where

a = 4

b = 4r²

c = 2r

d = 0

The first integral using limits c and d gives:

[tex]2pi\int\limits^1_0\int\limits^a_b {xr} \, dx[/tex]

The second integral using limits a and b

[tex]pi\int\limits^1_0 {16 } } \, rdr - pi\int\limits^1_0 {16r^{5} \, dx[/tex]

[tex]16pi\int\limits^1_0 { } } \, rdr - 16pi\int\limits^1_0 {r^{5} \, dx[/tex]

[tex]16pi\int\limits^1_0 { } } \, [r-r^{5}]dr[/tex]

The third integral using limits 1 and 0 gives: 16.762

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The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762

What is integration?

Integration is defined as adding small parts to form a new significant part.

Parabloid, x = 4y² + 4z²

plane x = 4

x = 4y² + 4z²

x = 4

4 = 4y² + 4z²

4 = 4 (y² + z² )

1 = y² + z²

from polar coordinates

y = r cos θ

z = r sin θ

r² = y² + z²

The limits of the integral

0 ≤ θ ≤ 2π

4r² ≤ x ≤ 4

0 ≤ r ≤ 1

[tex]\int\int\intxdV = \int_0_1\int_b_a\int_d_cxdx(rdrdz)[/tex]

where

a = 4

b = 4r²

c = 2r

d = 0

The first integral using limits c and d gives:

[tex]2\pi\int_0^1\int_b^axydx[/tex]

The second integral using limits a and b

[tex]\pi \int_0^116rdr-\pi\int_0^116r^5dx[/tex]

[tex]16\pi \int_0^1rdr-16\pi\int_0^1 r^5dx[/tex]

[tex]16\pi\int_0^1[r-r^5]dr[/tex]

The third integral using limits 1 and 0 gives: 16.762

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A cyclist travels a distance of 837 1/2 feet in 25 seconds. The cyclist travels at a constant rate. What is the unit rate, in feet per second, at which the cyclist travels?


PLEASE

Answers

Answer:

[tex]\boxed{33.5 \ \text{feet/second}}[/tex]

Step-by-step explanation:

To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.

Note: Since the cyclist travels at a constant rate, unitary method can be used.

[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]

[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]

Divide both sides by 25:

[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]

[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]

[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]

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find the median of first 10 prime numbers​

Answers

The first ten prime numbers: 2,3,5,7,11,13,17,19,23,29

Median=11+13/2 =24/2 =12//
Evet canım çok teşekkür ederimmm bir insan değilim ki bir şey olmaz ya o yüzden

Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?

Answers

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(WY)=VZ.

So, 2(7s)=s+52, meaning s=4.

Factor: 35b + 15c -10

Answers

Answer:

5(7b+3c-2)

Step-by-step explanation:

Common factor of 5

35b/5= 7b
15c/5= 3c
-10/5= -2

Take the common factor and multiply it by the quotients
5(7b+3c-2)

4x+y=2 solve for y algebra 2

Answers

4x+y=2
-4x. -4x

y=2-4x

Answer:

Step-by-step explanation:

4x + y = 2

y = -4x + 2

can you help me with this

Answers

Answer:

the anwer is b

I did the math

The answer is definetly b

Kindly solve this question

Answers

Answer:

x=-1/7

Step-by-step explanation:

[tex]\frac{3x-1}{3} -\frac{2x}{x-1} =x[/tex]

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

[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]

[tex]3x^2-10x+1=3x^2-3x[/tex]

[tex]-10x+1=-3x[/tex]

[tex]-7x=1[/tex]

[tex]x=-1/7[/tex]

Donald said that the median is 2. What did he do wrong?
8,13,2,4,48

Answers

Answer:

He did not put the numbers in order.

Explanation:

The numbers need to be in order from smallest to largest before you find the median.

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Which principle does the U.S. Supreme Court apply when it declares an act of Congress unconstitutional? A. Advice and ConsentB. Checks and BalancesC. Separation of PowersD. Executive Privilege You took a picture of the beach, and there's a seagull sitting in the sand that you want to remove. What do you use to draw and AUTOMATICALLY remove the seagull, replacing it with more sand? A thin 1.5 mm coating of glycerine has been placed between two microscope slides of width 0.8 cm and length 3.9 cm . Find the force required to pull one of the microscope slides at a constant speed of 0.28 m/s relative to the other. 1) The five basic elements of fiction include:setting, characters, plot, theme, and point of view. characters, resolution, realism, rising actions, and falling actions. flashback, subplots, stereotypes, realism, and naturalism. resolution, introduction, crisis, rising actions, and falling actions. plot, flashback, crisis, stereotypes, and naturalism2) An author relates via a(n) _____ what happens to characters in a fictional story. chronologyeraepochplotnarrative3) Answer True or False. If fictional character Joe Brown creates a community garden in a neighborhood to both beautify it and provide fresh vegetables and fruits for residents and fictional character Charlie Alton tramples all of the emerging plants one night, Joe is the antagonist and Charlie is the protagonist. FalseTrue4) Answer True or False. Since Charlie makes a turnabout, he is a static character. TrueFalse5) Answer True or False. At the beginning of the story, Joe believes in the goodness of other humans and even after Charlie ruins his garden, he does not change his mind-Joe is a dynamic character. FalseTrue6) Answer True or False. Though the readers know all about Joe and Charlie and what they think, they know little about Cathy, a neighborhood girl who helps with the garden. Cathy is a flat character. FalseTrue7) Both Joe and Charlie are ____ characters, or ones that are the most critical to the story. secondarymainabsentminorstereotype8) Answer True or False. If in a fictional story about Joe's attempt to create a successful community garden, the author writes, "Generations later, residents of Oak Cliff sang the praises of Joe Browne for his heroic efforts to improve the lives of the locals,"a reader might recognize the sentence as the resolution or denouement. FalseTrue9) Answer True or False. If the author chose to open his fictional story with the scene in which Charlie is stomping on the fledgling plants before relating how Joe planted the garden, he used in media res. FalseTrue10) Answer True or False. Joe's struggles with Charlie are an example of internal conflict, while Charlie's thoughts about why he wants to destroy the plants that will give hope to others are an example of external conflict. FalseTrue11) Answer True or False. If Charlie makes a turnabout during the resolution and begins helping Joe with the community garden, then the author has written a deus ex machina. TrueFalse12) The buildup of tension in fiction is termed ______________. universal themecrisisflashbackmilieususpense13) If at the beginning of the story about Joe and his garden, you read the sentence, "Though Joe had no doubt that he would be successful in his work to create a success," you could say that the author was employing ___________. a cliffhangera themeimpressionismflashbackforeshadowing14) If you read the sentence, "Joe's community garden was beautiful-it was like an oasis in a desert of defeat and destruction surrounded as it was by a burned building and stores and homes imprisoned by their burglar bars," you could say that the author was employing ___________. expressionismromanticismresolutionimpressionismclimax A container with a volume 2.0 l is filled with a gas at a pressure of 1.5 atm. by decreasing the volume of the container to 1.0 l, what is the resulting pressure? type in your answer using the correct number of significant figures. remember to use the formula for boyle's law: p1v1 = p2v2 atm can someone help me with a book review of the secret garden? How did the Medici become wealthy?They were artists who became popular.O They inherited money as members of the nobility.O They paid to support scientists and builders.O They charged interest on loans to merchants. Find the length of the third side. If necessary, round to the nearest tenth. 12 18 V. Choose the word or phrase among A, B, C or D that best fits the blank space in the following passage.GherkinThe Gherkin is one of several modern buildings that have been built over the years in a historic area of London. The (21)__________ skyscraper was built in 2004, and its unique, and energy-efficient design has won the Gherkin many (22)__________. The cigar-shaped structure has a steel frame (23)__________circular floor planes and a glass facade with diamond-shaped panels. The building's energy-saving (24)__________ allows the air to flow up through spiraling wells. The top of the tower, (25) __________visitors find an open hall covered by a glass conical dome, is even more spectacular. From here you have great views over the city.21. A. 41 stories B. 41-stories C. 41-story D. story-4122. A. awards B. rewards C. stories D. achievements23. A. of B. with C. at D. in24. A. machine B. machines C. system D. systems25. A. where B. at where C. from where D. there