please solve this equation using quadratic formula​

Please Solve This Equation Using Quadratic Formula

Answers

Answer 1

Step-by-step explanation:

x+3/x-2-1-x/x=17/4find the LCM of the denominators (x-2)x=x^2-2x

(x^2-2x)4=4x^2-8x divide the denominator by the LCM and then multiply x to the numerator

(x+3)4=4×+3

(1-x)(4x-8)

1(4x-8)-x(4x-8)

4x-8-4x^2-8x=4x


Related Questions

solve for x 3(x+2) + 4(x-5)=10

Answers

Answer:

x= 3.43

Step-by-step explanation:

First, use the distributive property and multiply 3 by x and 3 by 2:

3x + 6

next use the distributive property again and multiply 4 by x and -5:

4x - 20

Combine Like terms: 3x + 6 + 4x - 20

3x + 4x = 7x

6 - 20 = -14

Now Add 14 to both sides: 7x - 14 = 10

10 + 14 = 24

Now divide 7 by both sides: 7x = 24

24 / 7 = 3.428571429 = 3.43

Answer:

x=24/7 or 3 3/7

Step-by-step explanation:

3(x+2) + 4(x-5)=10   parenthesis first

3x+6+4x-20=10

7x-14=10               addition on both sides

7x-14+14=10+14

7x=24

x=24/7

check the answer:

3(x+2) + 4(x-5)=10

3(24/7+2)+4(24/7-5)=10

72/7+6+96/7-20=10

168/7-14=10

24-14=10

10=10 correct

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita. How many kilograms of grapes were left with her?

Answers

Answer:

17/4 kg

Step-by-step explanation:

Sunita has = 10kg of grapes

Quantity given out :

To Reena =3 1/2

7/2 kg

To Anita =2 1/4

9/4 kg

Total quantity of grape given out

7/2+9/4

(14+9)/4

23/4

Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out

10/1 - 23/4

40-23)/4

= 17/4 or 4 1/4

Hence, she has 17/4 kg of grape left with her

On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.

Answers

Answer:

The answer is below

Step-by-step explanation:

A rational number is a number in the form p/q where p and q are both integer numbers.

From the number line, each one unit is divided into six, therefore each one point is 1/6 unit. For the first number, it is between 0 and 1 and is on the fifth point, therefore the expression of the first number = 0 + 5(1/6) = 0 + 5/6 = 5/6

For the second number, it is between -1 and -2 and is on the third point, therefore the expression of the second number = -1 - 3(1/6) = -1 - 3/6 = -9/6

The difference between the two numbers is:

5/6 - (-9/6) = 5/6 + 9/6 = 14/6

Match the vocabulary word to its correct definition.

1. complex conjugate the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. complex number the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number
3. i the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number
4. imaginary number a number defined with the property that 12 = -1, so that
5. imaginary part of a complex number the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1
6. multiplicative inverse any nonzero multiple of i; this is the same as the square root of any negative real number
7. real part of a complex number the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs

Answers

Answer:

1. Complex number.

2. Imaginary part of a complex number.

3. Real part of a complex number.

4. i

5. Multiplicative inverse.

6. Imaginary number.

7. Complex conjugate.

Step-by-step explanation:

1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. i: a number defined with the property that 12 = -1.

5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.

7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.

Answer:

Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. i: a number defined with the property that 12 = -1.

5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.

7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.

Step-by-step explanation:

Write and equation of the line that passes through the pair of points (4,6) and (-1,1)

Answers

Answer:

y = x + 2

Step-by-step explanation:

Step 1: Find the slope

[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2

The answer is y=x+2 . The slope is m=1. And the y intercept is b=2

Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

3.

Step-by-step explanation:

3x3 =9

1.2 x3=9

solve 3(x +15) ≤5(x+2) + 15

Answers

Answer:

x≥5

Step-by-step explanation:

3(x+15)≤5(x+2)+15

3x+45≤5x+10+15

3x+35≤5x+25

3x-5x≤25-35

-2x≤-10

x≥5

{x:xEx:6,7,8,9,10....}

Hope this helps ;) ❤❤❤

Dena uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use yo paint her bedroom walls

Answers

Answer:

4.44 pints

Step-by-step explanation:

7.4 times 3/5

A man spends 880$ a month. Out of this, 26% goes to his rent. Find how much is his rent.

Answers

Answer:

$228.80 paid for rent.

Steps:

Divide the percentage by 100.

26/100=0.26

Multiply this amount by the principal amount, 880.

880*0.26=228.8 is 26% of 880

Answer:

26% of 880

= (26 x 880 )  /  100

= 228.80 ($)

Step-by-step explanation:

Have attached some composite functions completed to show you the whole unit. Hope it helps. The 2nd and third one are part of the same answer.

The forth one attached may help you most.

12 – 2x= -2(y – x)
-2x = -2(y – x) – 12
x= (y - x) + 6

Answers

Answer:

x=o and y= -6

Step-by-step explanation:

12-2x = - 2(y-x)

or,12-2x = -2y + 2x

or, 12 = - 2y + 4x

or, 12/2= 2x - y

or, 2x - y = 6

• 2x -6= y.....eqn_1

-2x=-2y+2x -12

or,4x +2y= -12

or,4x + 2(2x-6)= -12

or, 4x+4x-12=-12

or, 8x= 0

• x= o

putting the value of x in eqn...3

o=(y-0)+6

or, o= y + 6

•y = -6

PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Answers

Answer:

x = 5 , y = 15

Step-by-step explanation:

You can solve this using substitution.

Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y

2x + 1y = 25

x + y = 20

These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).

For part B I used substitution because it was more applicable to the question then addition or elimination.

ACTUAL WORK

Set 2x + 1y = 25 equal to x

x = 25 - y / 2

Replace x with y in the second equation

(25 - y / 2) + y = 20

And solve for y

y = 15

Since we know what y is we can replace y in the second equation and find what x is

x + 15 = 20

Solve for x

x = 5

Answer:

5 Cheese Wafers and 15 Chocolate Wafers

Step-by-step explanation:

what is the prime factorization of 430

Answers

Answer:

[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]

Step-by-step explanation:

Using factor tree,

Answer:

[tex]\large\boxed{2, 5, 43}[/tex]

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             [tex]\boxed{43}[/tex]     [tex]\boxed{5}[/tex]

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

[tex]\large\boxed{2, 5, 43}[/tex]

Hope this helps :)

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If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Sex ratio is defined as the number of females per 1000 males in the population. Find the sex ratio if there are 3732 females per 4000 males in a town.

Answers

Answer:

933

Step-by-step explanation:

female : male

x : 1000

x : 4000

1000 x 4 = 4000

3732 : 4000

3732 ÷ 4 = 933

The sex ratio here is
3732/4000
= 933/1000
Therefore, the sex ratio is 933 females per 1000 males

What is a +b square plz i need help i will mark brainliest

Answers

Answer:

a² + 2ab + b²

Step-by-step explanation:

Given

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute both parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Help the question is there

Answers

Answer:

y = 7 when x = -5

Step-by-step explanation:

First go to x = -5

Then go up to where you meet the green line

The y value is 7

y = 7 when x = -5

Is the statement [x]=[x+1] true for all real numbers

Answers

Answer:not true

Step-by-step explanation:

To say not true we need only one example so we can take x as -5

[-5]= [-5+1]

5 not equal with 4

Help, Answer ASAP; will give brainliest

Answers

Answer:

Step-by-step explanation:

measure of a = 9 degree

angle POM = 48 degree = angle NMO [ AIA}

HOPE IT HELPS

Answer:

Below

Step-by-step explanation:

We are given that <PMO= (3a+15)° and NMO= (6a-6)°

Notice that the sum of <PMO and <NMO gives a right angle.

● <PMO+<NMO = 90°

● 3a+15+6a-6 = 90

● 9a + 9 = 90

Substruct 9 from both sides

● 9a +9 -9 = 90 -9

● 9a = 81

Divide both sides by 9

● 9a/9 =81/9

● a = 9

So the value of a is 9°

■■■■■■■■■■■■■■■■■■■■■■■■■■

MN and PO are parallel since MNOP is a rectangle.

MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.

● <NMO = <POM

● <POM = 6a-6

The value of a is 9°

● <POM = 6*9-6 = 48°

So <POM = 48°

A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.

Answers

Answer:

Answer on Edmentum! :)

Step-by-step explanation:

Hope this helps!

The number of children were 172 and number of  adults were 278.

What is linear equation?

An equation that makes a straight line when it is graphed.

Given that, A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests

According to question,

12x+25y = 9014

x+y = 450

Solving using elimination method, we get,

x = 172 and y = 278

Hence, The number of children were 172 and number of  adults were 278.

For more references on linear equation, click;

https://brainly.com/question/11897796

#SPJ5

solve 7 + x - 15=-2 2/3

Answers

Answer:

16/3 or 5 1/3

Step-by-step explanation:

7 + x - 15 = -2 2/3

x - 8 = -2 2/3

x = 16/3

Answer:

Let's solve your equation step-by-step.7+x−15=223

Step 1: Simplify both sides of the equation.

x−8=8/3

Step 2: Add 8 to both sides

.x−8+8=8/3+8x=32/3

Answer:x=10 2/3

i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!

Angles θ and φ are angles in standard position such that:


sinθ = -5/13 and θ terminates in Quadrant III

tanφ = -8/15 and φ terminates in Quadrant II


Find sin(θ + φ).

Answers

When [tex]\theta[/tex] terminates in quadrant III, both [tex]\cos\theta[/tex] and [tex]\sin\theta[/tex] are negative, and

[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{12}{13}[/tex]

When [tex]\varphi[/tex] terminates in quadrant II, [tex]\cos\varphi[/tex] is negative and [tex]\sin\varphi[/tex] is positive, so

[tex]1+\tan^2\varphi=\sec^2\varphi\implies\sec\varphi=-\dfrac{17}{15}[/tex]

which gives

[tex]\cos\varphi=\dfrac1{-\frac{17}{15}}=-\dfrac{15}{17}[/tex]

[tex]\tan\varphi=\dfrac{\sin\varphi}{\cos\varphi}=-\dfrac8{15}\implies\sin\varphi=\dfrac8{17}[/tex]

Now,

[tex]\sin(\theta+\varphi)=\sin\theta\cos\varphi+\cos\theta\sin\varphi=-\dfrac{21}{221}[/tex]

Decimal expansion of 17/16

Answers

Answer:

1.0625

Step-by-step explanation:

1.0625 is the answer I hope this helps

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) ttt weeks after the beginning of spring. s=-0.25t+4s=−0.25t+4s, equals, minus, 0, point, 25, t, plus, 4 By how much does the ice sheet's thickness decrease every 666 weeks? meters

Answers

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. [tex]s=-0.25t+4[/tex]

At t=0, [tex]s=4[/tex]

So, Thickness of ice sheet at the beginning = 4 meters

Now at t= 6, we get

[tex]s=-0.25(6)+4=-1.5+4=2.5[/tex]

Thickness of ice sheet after 6 weeks = 2.5 meters

Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters

Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters

Answer:

1.5

Step-by-step explanation:

What is the value of (-7 + 3i) - (2 - 6i)?

-5 + 91

-5 -3i

-9-31

-9 + 91​

Answers

Greetings from Brasil...

Real part with real part, complex part with complex part...

(-7 + 3i) - (2 - 6i)

(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5

((-7 - 2) + (3i + 6i))

- 9 + 9i

y= 3x - 15
x+y=13
find the solution

Answers

Answer:

x+3x-15=13

4x=28

x=7

......

Answer:

[tex]y = 3x - 15 \\ \\ to \: find \: x \: substitute \: y \: into \: 0\\ \\ 0 = 3x - 15 \\ - 3x = - 15 \\ divide \: both \: sides \:by \: - 3 \\ \\ x = 5[/tex]

help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;)))

Answers

Answer:

A: 2:30

B: 13:15.

C: 4:05 A.M

D: 3:25 P.M

Step-by-step explanation:

Answer:

a) 0230 hours

b) 1315 hours

c) 4:05 am

d) 3:25 pm

Step-by-step explanation:

To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.

a) 2:30 am

2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:

b) 1:15 pm

1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:

0115 + 1200 = 1315

1315 hours is your answer.

To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.

0405 = 4:05 am.

1525 = 12 pm + 3:25 = 3:25 pm.

~

Please help ASAP. The question is down below.

Answers

Answer:

(a) and (a)

Step-by-step explanation:

In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.

Given

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

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

Equate each factor to zero and solve for x

3 - x = 0 ⇒ x = 3

2 + x = 0 ⇒ x = - 2

x = 3 and x = - 2 are excluded values → (a)

------------------------------------------------------------------------

Given

[tex]\frac{-9x+3}{6x^2+10x-4}[/tex]

solve

6x² + 10x - 4 = 0 ← in standard form

(x+ 2)(6x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

6x - 2 = 0 ⇒ 6x = 2 ⇒ x = [tex]\frac{1}{3}[/tex]

x = [tex]\frac{1}{3}[/tex] and x = - 2 are excluded values → (a)

Can someone please explain this to me? I don’t understand it at all

Answers

Answer:

Step-by-step explanation:

Angle 1 and angle 4 are Alternative angles:

Alternative angles are pair of angles on the inner side of each of those two lines but on opposite sides.

∠1+∠2 =180          sum of straight angle =180 ( angle 2=118)

∠2-∠2=180  ,∠2=180-62=118

∠4+∠2=180           sum of straight angles=180 (∠4=62 degrees)

∠4+118=180  ⇒∠4=180-118 ⇒∠4=62 degrees

  ∠1=∠4                  alternative angles        

Nala has 'n' marbles. Paul has three times as many marbles as Nala. Nala loses 5 marbles and Paul buys 10 marbles. Together they now have 105 marbles. Write down and solve an inequality in 'n'

Answers

Answer:

Step-by-step explanation:

Nala's marbles = n

Paul's marbles = 3n

nala loses 5 marbles

so nala's marbles = n - 5

paul buys 10 marbles

so paul's marbles = 3n + 10

Total marbles = 105

so,

n - 5 + 3n + 10 = 105

By transposing,

n + 3n = 105 - 10 + 5

4n = 100

n = 100 / 4

n = 25

Hope this helps

plz mark as brainliest!!!!!!!

plz hurry thank you!

Answers

Greetings from Brasil...

According to the properties of the radiation:

X^(a/b) = [tex]\sqrt[b]{X^a}[/tex]

So

X^(2/3) = [tex]\sqrt[3]{X^2}[/tex]

And

Y^(-3/4) = 1/Y^(3/4)

so 1/Y^(-3/4) = Y^(3/4) = [tex]\sqrt[4]{Y^3}[/tex]

Then we get

[tex]\sqrt[2]{X^3} .\sqrt[4]{Y^3}[/tex]

Solve Please:(c^5)(c)(c^2) Thank You ^-^

Answers

Answer:

c^(8)

Step-by-step explanation:

(c^5)(c)(c^2)

When the bases are the same, we can add the exponents when multiplying

The implied exponent on c is c^1

c^( 5+1+2)

c^(8)

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If mATB = 20, mBTD = 72, and mCTD = 38, what is mATC? ABCD RECTANGLE + = ? What is a pedigree? Please choose the correct answer from the following choices, and then select the submit answer button. a) a tool to document harmful traits only b) a type of family tree that can help answer questions about genes and their inheritance patterns c) a cross between animals other than humans d) a type of genetic test to determine probability of inheritance e) a way of following genotypes that are the same as the phenotype If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale. If the Fed increases the discount rate, which of the following accurately describes the sequence of events that will follow in the banking system, finally leading to a decline in money supply?A. Reserves : Excess reserves ; Loans ; Deposits ; Money supply B. Loans ; Deposits ; Reserves ; Excess reserves ; Money supply C. Deposits ; Reserves: Excess reserves; Loans ; Money supply D. Excess reserves ; Reserves ; Loans ; Deposits ; Money supply 20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second! A file that is 276 megabytes is being dowloaded . If the downloaded is 16.7% complete how many megabytes have been dowloaded? Round ur answer to the nearest tenth ( can ya please hurry and answer thank you) please help!!!!!!!!!!!!! Select ALL the correct answers. Choose the statements that are true about a cube with side length 1 unit. how many are 2 raised to 3 ??? ________ means that service quality depends on the quality of buyer-seller interaction during the service encounter. In a community service class in the fall, 333 of the 151515 class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to 181818. In the spring, what percent of class sessions were lectures? Choose 1 answer: 16.7\% Liam had an extension built onto his home. He financed it for 48 months with a loan at % APR. His monthly payments were . How much was the loan amount for this extension? Read the excerpt from Warriors Don't Cry. The announcer said it was 7:55 as Mama squeezed into a parking space, and we settled ourselves quietly for a moment, trying to identify the buzzing noise that seemed as if it were all around us. It resembled the sound of crowds at my high school football games. But how could that be The ABC Company is preparing its financial statements on December 31. During the year, they purchased IBM stock for $20,000. On December 31, the market value of the IBM stock is $8,000. The journal entry on December 31 will include a debit to:_______. What is the sum of the complex numbers 9i9i and 5i5i? Please Help! Use Hesss Law to determine the Hrxn for: Ca (s) + O2 (g) CaO (s) Given: Ca (s) + 2 H+ (aq) Ca2+ (aq) + H2 (g) H = 1925.9 kJ/mol 2 H2 (g) + O2 (g) 2 H2O (l) H = 571.68 kJ/mole CaO (s) + 2 H+ (aq) Ca2+ (aq) + H2O (l) H = 2275.2 kJ/mole Hrxn = Determine the present values if $5,000 is received in the future (i.e., at the end of each indicated time period) in each of the following situations: percent for ten years percent for seven years percent for four years Assume you are planning to invest $5,000 each year for six years and will earn 10 percent per year. Determine the future value of this annuity if your first $5,000 is invested at the end of the first year. Determine the present value now of an investment of $3,000 made one year from now and an additional $3,000 made two years from now if the annual discount rate is 4 percent. What is the present value of a loan that calls for the payment of $500 per year for six years if the discount rate is 10 percent and the first payment will be made one year from now? How would your answer change if the $500 per year occurred for ten years? Determine the annual payment on a $500,000, 12 percent business loan from a commercial bank that is to be amortized over a five-year period. Determine the annual payment on a $15,000 loan that is to be amortized over a four-year period and carries a 10 percent interest rate. Also prepare a loan amortization schedule for this loan. Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. At what amount could this loan be sold for to another bank if loans of similar quality carried an 8.5 percent interest rate? That is, what would be the present value of this loan? Now, if interest rates on other similar-quality loans are 10 percent, what would be the present value of this loan? What would be the present value of the loan if the interest rate is 8 percent on similar-quality loans? A wave has a frequency of 5 Hz and a wavelength of 0.5 m, what is the speed of this wave? Is this a good start to a story?A little girl ducked in and through crowds. Her goal was to find food before the people she called VEPs (Very Experienced Police) could find her. She spotted bread hiding in a bag. A quick swipe and she ran. She heard the lady yelling behind her. Cars zoomed past her. She had gotten away! The police were no match for her, as she was a little speedy one. She laughed.Steps behind her.Little street-roach! a voice suddenly boomed, laughing hysterically. No, she jinxed herself. Then she heard the crackles and the whips. The police had whips. Electricity surged behind her. She had a huge scar on her back from one of those. She spotted the musty basement door, her escape. She sprinted and darted toward it. She knew there was another exit in this basement, as she had done this many times before. After staggering through the darkness a couple times, she finally found a sliver of light. She scurried towards it out the back, she sprinted to her home; an old car wreck next to an overfilled trash can. She hid in the car, panting. The AEPs ran past the alleyway, muttering to themselves. She sighed. At least her soul was not taken away by the police. At least, not yet. It was strange to her. The police controlled whether you kept your soul or not. No- your parents controlled it, if you had any of those. Many of the children had their souls sold and were on the other side of the wall that separated the soulless and the souled. You lived in the souled, if you were rich enough. The little girl was not rich at all, yet she still managed to survive with the souled. She chewed on her bread. She shivered at the thought of a VEP getting her soul. if a 1-m diameter sewer pipe is flowing at a depth of 0.4 m and has a flow rate of 0.15 m^3/s, what will be the flow rate when the pipe flows full?