please solve this fast.​

Please Solve This Fast.

Answers

Answer 1

Answer:

- 24 - 70i

Step-by-step explanation:

Given

([tex]\sqrt{5}[/tex] - 7i)²

= ([tex]\sqrt{5}[/tex] - 7i)([tex]\sqrt{5}[/tex] - 7i)

= 5 - 7[tex]\sqrt{5}[/tex] i - 7[tex]\sqrt{5}[/tex] i + 49i² ( note that i² = - 1 )

= 5 - 14[tex]\sqrt{5}[/tex] i - 49

= - 44 - 14[tex]\sqrt{5}[/tex] i

Answer 2

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

[tex][\sqrt{5} - 7i]^{2}= (\sqrt{5})^{2} - 2*\sqrt{5}*7i + (7i)^{2}\\\\\\= 5 - 14i\sqrt{5}+7^{2}*i^{2}]]= 5 -14i\sqrt{5} +49 * -1\\\\= 5 -14i\sqrt{5} - 49\\\\= -44 - 14i\sqrt{5}[/tex]


Related Questions

Help wanted ill do brainliest!!

Answers

Answer:

x=-1

Step-by-step explanation:

0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )

- Distribute 0.5 by 5 and -7x

2.5 - 3.5x = 8 - ( 4x + 6 )

Second- Distribute the invisible one into 4x and 6

2.5 - 3.5x = 8 - 4x - 6

- Combine like terms: Subtract 6 from 8

2.5-3.5x= - 4x + 2

-Add 4x from both sides of the equation

2.5 + 0.5x = 2

-Subtract 2.5 from both sides of the equation

0.5x = 2- 2.5

0.5x = -0.5

-Then divide each side by 0.5x

0.5x  = -0.5

0.5      0.5

-Cancel the common factor of 0.5

x = - 0.5

      0.5

-Divide -0.5 by 0.5

X = -1

.You deposit $200 in an account earning 3.5% simple interest. How long will it take for the
balance of the account to be $221?

Answers

Answer:

3 times the percent for the balance to be $221

Step-by-step explanation:

If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b

Answers

[tex] \LARGE{ \underline{ \boxed{ \orange{ \rm{Solution:)}}}}}[/tex]

Given,

tan (a + b) = 1.73 [tex]\approx[/tex] √3tan (a - b) = 1 / 1.83 [tex]\approx[/tex] 1 / √3

To find:

Value of a and b in degrees....?

Solution:

☃️ Refer to the trigonometric table....

Then, proceeding

⇛ tan 60 ° = √3

⇛ tan 60° = tan (a + b)

⇛ 60° = a + b

Flipping it,

⇛ a + b = 60° --------(1)

And,

⇛ tan 30° = 1 / √3

⇛ tan 30° = tan (a - b)

⇛ 30° = a - b

Flipping it,

⇛ a - b = 30° ---------(2)

Now adding eq.(1) and eq.(2),

⇛ a + b + a - b = 60° + 30°

⇛ 2a = 90°

⇛ a = 90° / 2

⇛ a = 45°

Putting value of a in eq.(1),

⇛ 45° + b = 60°

⇛ b = 15°

☄ So, Our Required answers:

a = 45°b = 15°

━━━━━━━━━━━━━━━━━━━━

(x - y) + 2y + x3, when x = -3 and y=7
plss help​

Answers

-5 is the answer (or at least I think its is..) since x = -3 and y = 7, thus it will become (-3 - 7) + 2(7) + 3(-3)
That is really hard

What are the domain and range of the function? f(x)=−4x√x

Answers

Answer:

Domain x ≥ 0 Range y ≤ 0

Step-by-step explanation:

Answer:

[tex]Domain = \{x\,|\,x\geq 0\}[/tex]

[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]

Step-by-step explanation:

Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])

So this gives us the description for building the Domain (what is called "set builder notation":

[tex]Domain = \{x\,|\,x\geq 0\}[/tex]

Now for the Range, let's look into all the possible values that these  [tex]x\geq 0[/tex] values of x can render:

[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]

but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;

[tex]-4\,x\,\sqrt{x} \leq 0[/tex]

Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:

[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]

The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false

Answers

Answer:

a) true

Step-by-step explanation:

$4.65. >$7.45.

when a 200 g solution A and 400g of saline solution B are mixed a 6% salt solution is created also when a 400g of saline solution A and 200g of solution B are mixed 7% salt is created find what percent concentration of saline and saline b solution are

Answers

Answer:

A = 8%, B = 5%

Step-by-step explanation:

Let

a=concentration of solution A (in percent)

b=concentration of solution B (in percent)

Given

2a+4b = 0.06*(2+4)  ...........(1)

4a+2b = 0.07*(4+2)  ...........(2)

2(1) - (2)

4a-4a +8b-2b = 6 (2*0.06-0.07)

6b = 6(0.05)

b = 0.05  .............(3)

Substitute (3) into (1) and solve for a

2a+4(0.05) = 0.36

2a = 0.16

a = 0.08

Rewrite the radical expression as an expression with rational exponents. fifth root of x to the power of 9

Answers

Answer:

[tex]x^\frac{9}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[5]{x}[/tex] is the same thing as [tex]x^{\frac{1}{5}}[/tex].

Now if we have [tex]x^{\frac{1}{5}}[/tex] to the power of 9, the exponents are multiplied.

[tex]x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }[/tex].

Hope this helped!

Can you help me solve this problem & write my answer in simplest radical form.

Answers

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

I need major help quickly

Answers

Answer: Hi! The last answer is correct.

4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.

Hope this helped!

Answer:

the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.

Step-by-step explanation:

You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?

Answers

Answer:

obtuse

Step-by-step explanation:

because obtuse triangle would provide more support that acute or right as its bigger.

If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)

Answers

Answer:

3 or at least i think

Step-by-step explanation:

Answer:

a= 138/59 - 8√5b B=69√5/1180 - a√5/40

Step-by-step explanation:

yuh

MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.

Answers

Answer:

5 5/7

Step-by-step explanation:

Convert it to fractions:

30/7 and 4/3

Now multiply.

120/21

Simplify it:

5 5/7

Questions attached below ( *︾▽︾) Thanks for the help :)

Answers

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )

PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.

Answers

Answer:

$5,000 per week

Step-by-step explanation:

Ruri is a 30 year old female.

there are about 4 weeks per month

there are about 52 weeks per year

52*5000 = 260,000

She would get 260,000 per year and lets see how much she would have at 40.

260,000*10

at 40 she would have 2,600,000

2,600,000*10

at 50 she would have 26,000,000

at 50 she already has earned more money that the $20 million.

She should go with the $5000 per week if she would like more money.

Ken has 86 feet of fencing , to make a vegetable garden . Which design below will give ken the largest garden ?

Answers

Answer:it’s the top right box

Step-by-step explanation: what I did was I added 24+24 and 19+19 which gives you 86ft

Answer:It is left side 21ft and top 22ft Step-by-step explanation:

Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?

Answers

Answer:

27500

Step-by-step explanation:

meters are 100 times more than kilometers hope this helps:)

3m-2-5n+p terms and coefficients

Answers

Answer: Answers are in the steps.

Step-by-step explanation:

The coefficients are 3, -5, and 1  

The terms are, 3m, -2,-5n and p

1 7/16 - 1 1/6
Any step by step explanations? I need help.

Answers

Answer:

13/48

Step-by-step explanation:

1 7/16 - 1 1/6

Make improper fraction

23/16 - 7/6

Common Denominator

69/48 - 56/48

Subtract

13/48

Hope that helped!!! k

Answer:

13/48

Step-by-step explanation:

1 7/16=1+7/16

1 1/6=1+1/6

So: 1 7/16 - 1 1/6=

1+7/16-(1+1/6)=

1+7/16-1-1/6=

7/16-1/6= (48 common denominator)

(7×3-8)/48=

(21-8)/48=

13/48

find the number whose 13% is 65.​

Answers

Answer:

500

Step-by-step explanation:

A = the unknown number that we need to find

A x 13/100 = 65

=> A x 13 = 6500

=> A = 6500 / 13

=> A = 500

13% of 500 is 65.

Let's check whether the answer is correct or not.

=> 500 x 13/100

=> 5 x 13

=> 65.

So, the number whose 13% is 65 is 500

Answer:

Step-by-step explanation:

Let the number be x,

Then,

13% of x =65

Or, 13/100 of x =65

Or,x=6500/13

:.x=500

What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]

Thank you.

The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly

Answers

Answer:

8 cm

Step-by-step explanation:

The maximum length of the string will be the greatest common divisor of  32 , 16 , 8

32 = 2 * 2 * 2 * 2 * 2

16 = 2 * 2 * 2 * 2

8 = 2 * 2 * 2

GCD = 2* 2 * 2 = 8

The maximum length of the string = 8 cm

I DON'T WANT TO BE HOMESCHOOL I WANT REAL SCHOOL SO OPEN BACK UP

Answers

Answer:

I agree.

Step-by-step explanation:

Where I am, our parents had a choice, to chose whether they wanted us to go back to school or to do it online, and my grandma has me down for online, and I hate it so much.

Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.

Answers

Answer:

A

Step-by-step explanation:

Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.

Answer: Correct

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Step-by-step explanation: No clue:)

PLZ HELP !!!!!! ASAP!!!

Answers

Part (a)

BC = opposite side (furthest leg from the reference angle)

AB = adjacent side (closest leg from the reference angle)

AC = hypotenuse (always opposite the 90 degree angle)

=============================================

Part (b)

i. False. Angle B is 90 degrees as shown by the square angle marker.

ii. False. Side AB is opposite angle C. Note how "C" is part of "BC", so that means we cannot have BC be opposite C.

iii. True. Leg AB is the closer leg to angle A. We have "A" in "AB" to see this without having to draw the diagram. Refer to part (a) above.

iv. False. The longest side of any right triangle is always the hypotenuse. The longest side of any triangle is always opposite the largest angle.

==============================================

Part (c)

cos(theta) = adjacent/hypotenuse = AB/AC

tan(theta) = opposite/adjacent = BC/AB

Refer back to part (a) to determine the opposite,adjacent and hypotenuse side lengths.

==============================================

Part (d)

The reference angle has changed, so the opposite and adjacent sides swap. The hypotenuse remains the same regardless of what reference angle you pick.

sin(C) = opposite/hypotenuse = AB/AC

cos(C) = adjacent/hypotenuse = BC/AC

tan(C) = opposite/adjacent = AB/BC

Note the tangent ratio is the reciprocal of what we found back in part (c).

Answer & Step-by-step explanation:

(a)

The hypotenuse is on line CA (the hypotenuse is always opposite the 90° angle (marked by a little square))

The adjacent is on the line BA (adjacent is next to the given angle, but NOT the hypotenuse)

The opposite is on the line CB (this is opposite the given angle)

(b)

i.   false (b is a right angle)

ii.  false (the side opposite C is BA)

iii. true

iv. false (the side opposite B is the hypotenuse, and the hypotenuse is always the longest side in a triangle)

(c)

cosine ratio: [tex]cos=\frac{adjacent}{hypotenuse}[/tex]

tangent ratio: [tex]tan=\frac{opposite}{adjacent}[/tex]

The cosine and tangent ratios of the given angle:

[tex]cos0=\frac{AB}{CA} \\\\tan0=\frac{CB}{AB}[/tex]

(d)

Remember SOH-CAH-TOA:

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

Using the angle C, plug in the appropriate sides:

[tex]sinC=\frac{BA}{CA}\\\\ cosC=\frac{CB}{CA}\\\\ tanC=\frac{BA}{CB}[/tex]

:Done

What is the value of 5^4/5^6

Answers

Answer:

1/25 or 0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

5 to the 4th power (5 × 5 × 5 × 5) is 625.

5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.

625/15625 = 0.04.

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)


36. What is the solution to x+3 = -6?

HELP! answer if you can!​

Answers

Answer:

x = -9

Step-by-step explanation:

subtract 3 from both sides

x = -9

Answer:

x = -9

Step-by-step explanation:

x + 3 = -6

Subtract 3 from both sides.

x + 3 - 3 = -6 - 3

x = -9

There are three squares inside the triangle . Find the area of the third triangle with steps , please

Answers

Answer: 49 cm^2

Step-by-step explanation:

The length of the small pink square box will be:

L^2 = 9

L = sqrt( 9 )

L = 3

The length of the big pink square box will be:

L^2 = 16

L = sqrt( 16 )

L = 4

The length of the yellow square box will be:

4 + 3 = 7

The area of the third square box will be

A = 7^2

A = 49 cm^2

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft

Answers

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and

distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?



Answers

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

  = 56/24 = 2 1/3 cupcakes

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