What is equivalent to 3(5-2i)?

Answers

Answer 1

Answer:

Step-by-step explanation:

One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i

3(5-2i) =

3·5 -3·2·i =

15 -6i or -6i +15


Related Questions

In triangle ABC, what is the m

Answers

Answer: 38°

Using cosine rule,

a² = b² + c² -2bc cos(A)

Insert values from diagram

14² = 18² + 22.8² - 2(18)(22.8) cos(A)

196 = 324 + 519.84 - 820.8 cos(A)

-820.8 cos(A) = 196 - 324 - 519.84

-820.8 cos(A) = -647.84

cos(A) = -647.84/-820.8

A = cos^{-1} (-647.84/-820.8)

A = 37.88°

A ≈ 38°

Answer:

[tex]\boxed {38^{o}}[/tex]

Step-by-step explanation:

Applying Law of Cosines :

⇒ a² = b² + c² - 2bc(cos A)

⇒ 14² = 22.8² + 18² - 2(22.8)(18)(cos A)

⇒ 820.8(cos A) = 519.84 + 324 - 196

⇒ 820.8(cos A) = 647.84

⇒ cos A = 647.84/820.8

⇒ cos A = 0.789278752

⇒ m ∠A = cos⁻¹ (0.789278752)

⇒ m ∠A = 37.88 ≈ 38°

Find the nth term of the sequence -2,6,14,22...

Answers

Answer:

[tex]\boxed{a_{n} = 2(4n - 5)}[/tex]

Step-by-step explanation:

Given :

⇒ a = -2

⇒ d = 14 - 6 = 8

Formula for nth term :

[tex]\boxed {a_{n} = a + (n-1)d}[/tex]

Solving :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

aₙ = 2(4n - 5)

4x² + 6x = 12
Solve by completing square​

Answers

4x² + 6x = 12

We move all the terms to the left:

a = 4; b = 6; c = -12;Δ = b² - 4acΔ = 6² - 4 · 4 · ( -12 )Δ = 228

The value of Δ is greater than zero, so the equation has two solutions

We use the following formulas to compute our solutions:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a }| \ x_{2}=\dfrac{-b+\sqrt{\Delta} }{2a } } \end{gathered}$}[/tex]

The end solution:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sqrt{\Delta}=\sqrt{228}=\sqrt{4*57}=\sqrt{4}*\sqrt{57}=2\sqrt{57} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a}=\dfrac{-(6)-2\sqrt{57} }{2*4}=\dfrac{-6-2\sqrt{57} }{8} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b+\sqrt{\Delta} }{2a}=\dfrac{-(6)+2\sqrt{57} }{2*4}=\dfrac{-6+2\sqrt{57} }{8} } \end{gathered}$}[/tex]

{ Pisces04 }

Sketch the graph of y = x^2+2x-15 using your graphing calculator. What are the x-intercepts of this graph?

Answers

The intercept is 3 and 5

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

To find x- intercept, y=0

x² + 2x -15=0

x² -5x + 3x -15=0

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

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

Hence, the x- intercept is 3 and 5.

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The ratio table shows the numbet of miles karen can drive for 1,2,3 and 4 gallons of gasoline.Based on the table, How far would she be able to drive on 8 gallons of gasoline

Answers

Using a proportional relationship, it is found that she would be able to drive 240 miles on 8 gallons of gasoline.

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.

Researching the problem on the internet, it is found that she drives 30 miles per gallon, hence the function for the distance driven considering the number of gallons in the tank is given by:

D(n) = 30n.

She has n = 8 gallons, hence the distance is given by:

D(8) = 30 x 8 = 240 miles.

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Carl scored a total of 24 points by making 6 two-point baskets and some three-point baskets. Which equation can be used to find the number of three-pointers he scored, and how many three-point shots did Carl score?

A. 3p + 12 = 24
Carl made 12 three-point baskets.
B. 3p + 12 = 24
Carl made 4 three-point baskets.
C. p + 6 = 24
Carl made 18 three-point baskets.
D. p + 6 = 24
Carl made 30 three-point baskets.

Answers

Answer:

A.3p+12=24

Step-by-step explanation:

carl Made 12 three-pint baskets.

Tanya planted seedlings in her garden over the weekend. The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart. Tanya has a measuring tape that has values in centimeters. Help Tanya convert meters to centimeters.
Determine the ratio to use: .
Tanya should plant the saplings 20 centimeters apart.
1 meter is equal to 100 centimeters.
Multiply the given value by the ratio: .


i think they're supposed to be in order i cant figure it out, please help ToT!!

Answers

One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

As we know;-

1 meter is 100 cm so 0.2 meters will be calculated as:-

1 meter = 100 cm

0.2 meter = 0.2 x 100 = 20 centimeters.

Therefore One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.

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can 18 7 10 make a triangle

Answers

Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

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Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

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Which choice is equivalent to the expression below?
450
OA. 45²
OB. 0
OC. 45
O D. 1

Answers

Answer:

D is the answer because according to the law any number which has 0 at their power is equal to 1.

The correct value of this expression is 1. Letter D

We know that a power is the multiplication of equal factors - according to the exponent. That is, we just multiply the sentence by itself with the value given by the exponent.

Therefore, any number raised to the power of zero will be 1.

3. Choose the equation that correctly shows the Commutative Property of Multiplication. 5 × 1 3 = 1 3 ÷ 5 5 × 1 3 = 5 × 1 3 5 + 1 3 = 1 3 × 5

Answers

According to the commutative property of multiplication, changing the order of components has no effect on the product. The correct option is B.

What is the commutative property of multiplication?

According to the commutative property of multiplication, changing the order of components has no effect on the product.

For example: 4 × 8 = 8 × 4 = 32

The equation that correctly shows the Commutative Property of Multiplication is,

5 × 1 3 = 5 × 1 3

Hence, the correct option is B.

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a bag contains 4 white marbles , 7 red marbles , and 5 black marbles. you randomly select 3 marbles from the bag. without replacement.the random variable represents the number of black marbles

Answers

That variable from the number of black marble divide by all marble.
5/4+7+5 = 0.3125

Determine if the following scenarios are mutually exclusive or overlapping. Explain your reasoning.
1. You are taking a multiple choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.
2.You survey students in your school about what grade they are. Event A is the person is a senior. Event B is the person is a junior.

Answers

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin.

What is an event in probability?

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin. This experiment results in the coin landing 'heads' or 'tails.' These are the events that are associated with the experiment.

Scenario 1: You are taking a multiple-choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.

The two of the given events will overlap since there is a possibility that the correct answer is option D.

Scenario2: You survey students in your school about what grade they are in. Event A is the person is a senior. Event B is the person who is a junior.

The two of the given events are mutually exclusive events since a person can not be a senior and a junior at the same time.

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What is the factored form of the expression?

24g2 – gh – 10h2

Answers

The factored form of the expression is 2(g-h)(12g+5h)

What is a Quadratic Expression ?

A quadratic Expression is what can be written in the form of

ax²+bx +c

The given quadratic expression is

24g² -gh -10h²

10g² - 10h² +14g² -gh

10(g+h)(g-h) +14 g(g -h)

(g-h)(10 g +10h +14g)

2(g-h)(12g+5h)

Therefore the factored form of the expression is 2(g-h)(12g+5h).

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Helppppppppp plssssss

Answers

The first option, the option you selected, and the last option.

An adjacent angle means an angle that shares the same vertex (“center” point) and side.

Hope this helped :)

PLEASE HELP ASAP!!!!!!!1
Consider the series 1/4+3/2+11/4+4+21/4+....

Does the series converge or diverge?

Select answers from the drop-down menus to correctly complete the statements.

The series _____ (diverges or converges). You Consider conclude this because the series is _________ (Arithmetic, Geometric and the absolute value of the common ratio is greater than 1, Geometric and the absolute value of the common ratio is less than 1, neither arithmetic nor geometric)

Answers

The series diverges. You Consider concluding this because the series is in arithmetic progression.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

[tex]a_n = a_1 + (n-1)d[/tex]

where d is the difference and a₁ is the first term of the sequence.

The given series of numbers 1/4+3/2+11/4+4+21/4+.... is an arithmetic series because the difference between any two consecutive terms is 5/4. Therefore, the blanks can be filled as,

The series diverges. You Consider conclude this because the series is in arithmetic progression.

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Subtract the equations. Two-Variable Systems: Elimination
(screenshot of the question below)

Answers

Answer:

4x = 14

Step-by-step explanation:

7x + 2y = 17

– (3x + 2y = 3)

- - -

4x = 14

So, the correct option is A. 4x = 14

Hope it helps!

Which is the graph of y = 3√x+1-2?

Answers

Answer:

I'm not sure how to interpret "y = 3√x+1-2."

I'll assume y = 3[tex]\sqrt{x+1}[/tex] - 2

Step-by-step explanation:

Use the free online app DESMOS.  Either enter the equation, or make a table of individual points and plot them as ordered pairs.

GRAPH:   See attached image

PLOT:  Calculate a few points, mark them on the graph and then connect the dots.  I selected a few values of x and calculated y from the equation.  Each calculation provides a (x,y) ordered pair which can be marked on the graph and the dots are then connected.  Note that x values less than -1 result in a value of y that includes i, an imaginary number.  So the graph ends abruptly at that point.

Sal's Sandwich Shop sells wraps and
sandwiches as part of its lunch specials. The
profit on every sandwich is $2 and the profit on
every wrap is $3. Sal made a profit of $1,470
from lunch specials last month. The equation
2x + 3y = 1,470 represents Sal's profits last
month, where x is the number of sandwich
lunch specials sold and y is the number of wrap
lunch specials sold.

Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.

Answers

Answer:

it will be something like that

Step-by-step explanation:

u should modify the equation to be

y = (1470-2x)/3

The nth term of a sequence is given by 3n²
What is the position of the term in the sequence that is the first one with a value greater than 1000? ​

Answers

The 19 th term of the sequence is the first term of the sequence having value greater than 1000.

Given that the n-th term of the sequence is given by,

[tex]a_n=3n^2[/tex]

Let the p-th term be the first term which have value greater than 1000 in the sequence.

The p-th term of the sequence is, [tex]a_p=3p^2[/tex]

According to the condition,

[tex]3p^2 > 1000[/tex]

[tex]\Rightarrow p^2 > \frac{1000}{3}[/tex]

[tex]\Rightarrow p > +\sqrt{\frac{1000}{3}}[/tex], as number of term cannot be negative so we ignore the negative value of square root here

[tex]\Rightarrow p > 18.25\\\Rightarrow p\geq19[/tex]

Hence the first term which has value greater than 1000 is 19 th term of the sequence.

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find the length of each arc and round the answer to the nearest tenth

PLEASE HURRY IF YOU CAN​

Answers

The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As a result, when measuring angles in radians,

The length of the arc is:

[tex]\rm l = r \theta[/tex]

Unit conversions;

1 π = 180°

1° = 180/π

315°= 5.49 rad

270° = 4.71 rad

60° = 1.04 rad

150°=2.617 rad

The measure of the length of arc for the given radius;

[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]

The length of arc for the options1,2,3 and  4 willl be  60.39,61.23,10.4 and 7.851 respectively.

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Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?

Answers

The measure of ∠C is 54°.

To solve the problem :

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = [tex]180 - (59 +67)[/tex]

C = 54°

∴ The measure of ∠C is 54°.

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Answer:

54 degrees

Step-by-step explanation:

PLEASE HELP ME TO ANSWER THIS QUESTION THANK YOU!

Answers

Answer:

Step-by-step explanation:

a. 4cm * 9cm * 2cm = 72 cm^3

b. 5m * 4m * 9m = 180 m^3

c. 10dm * 36 dm^2 (because the square could also be represented as 6cm * 6cm) =360 dm^3

d. (56mm)^3 =  175616 mm^3

e. 10 m * 1 m^2 (because of the square) = 10m^3

To tell which cubic unit of measure that should be used:

   ⇒ we should examine the unit of the side lengths

First question (a):

a rectangular prism that is 4cm by 9 cm by 2cm

            ⇒ must use cm³ as cubic unit of measure

               ⇒ as all sides are centimeters

                  ⇒Answer: cubic centimeters or cm³

Second question(b):

a rectangular prism that is 5m by 4m by 9m

            ⇒ must use as cubic unit of measure

               ⇒ as all sides are meters

                  ⇒Answer: cubic meters or m³

Third question(c):

a rectangular prism that gives only two side length: 10dm, 6dm

              ⇒must use dm³ as cubic unit of measure

                 ⇒ as all of the sides given are in decimeter

                     ⇒Answer: cubic decimeter or dm³

Fourth question(d):

a cube that gives only one side length: 56mm

              ⇒ must use mm³ as cubic unit of measure

                  ⇒ as all the given sides with side lengths are in millimeters

                      ⇒ Answer: cubic millimeters or mm³

Fifth question(e):

a rectangular prism with two side length: 1m, 10m

              ⇒ must use as cubic unit of measure

                  ⇒ as all given sides with side lengths are in meter

                      ⇒Answer: cubic meter or m³

In general:

when faced with these problems

   ⇒ look to the unit of measure of the majority of the side lengths

   ⇒ look to the unit of measure that the problem wants for the answer

Hope that helps!

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What is the range of possible sizes for side x?
I dont need a long answer

Answers

Answer:

1.3 < x < 6.7

Explanation:

Given two sides of a triangle: 2.7 and 4.0

If 'x' will be the largest side:

third side < sum of two sidesx < 2.7 + 4.0x < 6.7

If 'x' will be smallest side:

third side > difference between two sidesx > 4.0 - 2.7x > 1.3

Hence range of possible size: 1.3 < x < 6.7

Part 1: complete the operations geometrically. vector operations to draw the resultant vector draw 2u + 4v.

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw the vector 2u + 4v?

The vector expression is given as:

2u + 4v

Split the vector expressions, as follows:

y1 = 2u

y2 = 4v

Next, we have:

y = y1 + y2

See the attachment for the graph of 2u + 4v.

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ABCD is a square. Triangle DEF is equilateral. Triangle ADE is isosceles with AD = AE. CDF is a straight line. Showing all your steps, calculate the size of angle AEF​

Answers

Answer:

90°

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

in an equilateral triangle also all 3 angles are equal and therefore 180/3 = 60°.

angle EDF = 60°.

angle DEF = 60°

all angles in a square are 90°.

so, angle ADC = 90°.

and therefore, ADF = 90°.

the angle ADE is then 90-60 = 30°.

the triangle ADE is isoceles (both legs are equal, and both angles of the legs with the baseline are equal).

so, the angle AED = angle ADE = 30°

the angle AEF is then angles AED + DEF = 30 + 60 = 90°

help i need for tomorrow

Answers

Answer:

The three bags for 92.50 pounds (offer B)

Step-by-step explanation:

Offer A:

[tex] \frac{35}{2 \times 25} = \frac{35}{50} = .7[/tex]

Offer B:

[tex] \frac{92.50}{3 \times 50} = \frac{92.50}{150} = .617[/tex]

Offer B has the lower unit price.

Please help me with my math

Answers

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve for z and x ~

[tex]\qquad \sf  \dashrightarrow \: 82 + z = 180[/tex]

[ they form co-interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: z = 180 - 82[/tex]

[tex]\qquad \sf  \dashrightarrow \: z = 98 \degree[/tex]

and

[tex]\qquad \sf  \dashrightarrow \: z = (5x - 82)[/tex]

[ by Alternate interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: 98 = 5x - 82[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x = 98 + 82[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 180 \div 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 36 \degree[/tex]

Answer:

z = 98

x= 36

Step-by-step explanation:

z + 82 = 180 -> due to same side interior angles adding up to 180

z = 180 - 82

z = 98

z = 5x - 82 due to opposite interior angles being equal

98 = 5x - 82

98+82 = 5x - 82+82

180 = 5x

180/5 = 5x/5

36 = x

To check:

z = 5x - 82

(98) = 5(36) - 82

98 = 180 - 82

what is the answer in system form
y=-2x
5x-7y=-38

Answers

Answer:

x = -2

y = 4

Step-by-step explanation:

To solve the system of equations, you want to plug one equation into the other and then simplify. You can do this by setting one equation equal to a variable (like in the first equation), and then substituting the function into the variable into the second equation.

First Equation: y = -2x

Second Equation: 5x - 7y = -38

5x - 7y = -38                                <----- Second equation

5x - 7(-2x) = -38                           <----- Plug first equation into "y"

5x + 14x = -38                              <----- Multiply -7 and -2x

19x = -38                                      <----- Add 5x and 14x

x = -2                                           <----- Divide both sides by 19

Now that you know the value of one variable, you can use it to find the value of the second variable. This can be done by plugging x = -2 in to one of the equations.

y = -2x                                         <----- First equation

y = -2(-2)                                      <----- Plug -2 in "x"

y = 4                                            <----- Multiply -2 and -2

find the area and perimeter of the figures​

Answers

Answer:

6x+6 or 4x+10

Step-by-step explanation:

hope u like it

Answer:

a) 196cm^2

b) 225cm^2

c) 180 cm^2

Step-by-step explanation:

a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.

a = (14cm)^2

a = 196cm^2

b) a = (15cm)^2

   a = 225cm^2

c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.

a = l x w

a = 18cm x 10 cm = 180 cm^2

:)

Mason can type 210 words in 6 minutes. find the unit rate ( words per mintute )

Answers

Answer:

Step-by-step explanation:

words type per minute =210/6

                                       =35

like you said,
unit rate = words/min
so if 210 words can be typed in 6 mins,

6 mins -> 210 words
(divide 6 throughout)
1 min -> 210words / 6 mins
1 min -> 35 words

therefore, the unit rate is 35 words per minute.

hope this helps you! feel free to clarify!
Other Questions
Read this excerpt from Leo Tolstoy's The Death of Ivan Ilyich:Her attitude towards him and his diseases is still the same. Just as the doctor had adopted a certain relation to his patient which he could not abandon, so had she formed one towards himthat he was not doing something he ought to do and was himself to blame, and that she reproached him lovingly for thisand she could not now change that attitude."You see he doesn't listen to me and doesn't take his medicine at the proper time. And above all he lies in a position that is no doubt bad for himwith his legs up."She described how he made Gerasim hold his legs up.The doctor smiled with a contemptuous affability that said: "What's to be done? These sick people do have foolish fancies of that kind, but we must forgive them. . . ."They all rose, said good-night, and went away.When they had gone it seemed to Ivan Ilyich that he felt better; the falsity had gone with them. But the pain remainedthat same pain and that same fear that made everything monotonously alike, nothing harder and nothing easier. Everything was worse.Again minute followed minute and hour followed hour. Everything remained the same and there was no cessation. And the inevitable end of it all became more and more terrible.Based on the excerpt, how is Praskovya Fedorovna a character foil to Ivan Ilyich?A. She is kind and takes care of Ivan, which is why he feels guilty about how he treated her for most of their married life.B. She is vindictive toward Ivan while pretending to be worried about him, thus reminding him of how his family has never forgiven him.C. She plays the part of the worried wife without any real feeling, symbolizing the false propriety Ivan upheld but now hates.D. She is young, healthy, and beautifuleverything Ivan can never be again and wishes he could return to. Simplify cube root of 5 over fourth root of 5 . (5 points) 5 to the power of 1 over 4 5 to the power of 1 over 12 5 to the power of 7 over 12 5 to the power of 4 over 3 PLEASE HURRYWhich of the following can be used to evaluate the series e d g e One unit of alcohol contains 8 grams of alcohol. calculate the risk of developing liver cancer for someone who consumes 4 units of alcohol a day HELP ASAP I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWERWhich of the following best describes why the Brown v Board of Education Supreme Court ruling was initially limited in the social change it created? PLEASE HELP ASAP I WILL GIVE BRAINLYEST!!! According to the results, what is the pH of thewater? Check all that are correct.Above 7BasicAbout 7NeutralAcidicBelow 7 A hot air balloon is descending.The height of the balloon n minutes after it starts to descend is hn metres. The height of the balloon (n +1) minutes after it starts to descend, hn + 1 metres, is given byhn + 1 = Khn + 20 where K is a constant. The balloon starts to descend from a height of 1200 metres at 09 15At 09 16 the height of the balloon is 1040 metres. Work out the height of the balloon at 09 18 Please help! Consider the function y = 9-x^2, where x 3What is the inverse of the function? What is the domain of the inverse? Show all of your work(hint: swap x and y in the domain as well as the function) what is the value when 18times of the difference of 15 and 12 divided by 6 Emily is shopping at the toy store. In that store all dolls are sold at the same price and all dresses are sold at the same price. If Emily buys one doll and one dress, it will cost her $21.00. If Emily buys two dolls and three dresses, it will cost her $51.00. What is the price of one doll at that store? This is direct proportion .I need help in question 2 only one of the questions then I can do the rest tysm Il give Which of the following is a method to preserve both photographs and artworks created with charcoal?O Fixative sprayO Frame with glass and matO Print on glossy paperVarnish A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things? Given the matrices A and B shown below, find -A + 1/3B HELP REAL QUICK PLEASE!What causes thesun's rays to hitdifferent parts ofearth at differentangles?A. the curve of the earthB. the magnetic field of theearthC. the distance betweenthe sun and the earthD. more wind from theequator Question is attached PWhat are the x- and y-intercepts of the line y = 4x + 12?A. x-intercept = 3; y-intercept = -12B. x-intercept = -3; y-intercept = 12C. x-intercept = -12; y-intercept = 3D. x-intercept = 12; y-intercept = -3PLEASE HELP Which type of text ridicules something in order to expose or correct it?allegoryfablemythsatire which of the following features did the ancient greek and Romen civilization have in common