Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer 1

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3


Related Questions

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?

Answers

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2

Answers

To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!

helpppppppppppppppppp​

Answers

how much was the second one?

A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

How many proportional relationships are shown in the coordinate plane below? Please answer quick

Answers

Answer:

The answer is 1

Step-by-step explanation:

There is 1 proportional relationship in the graph

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96


Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48

Answers

Answer:

your new should be c $20

The final cost is $30.

Option C is the correct  answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price of the coat = $50

Discount = 40%

Now,

The final cost.

= (100 - 40)% of 50

= 60% x 50

= 60/100 x 50

= $30

Thus,

The final cost is $30.

Learn more about percentages here:

https://brainly.com/question/11403063

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Got a #30 question math quiz paying $10 anyone , send your socials or #

Answers

This sounds sus to me ┐( ̄ヘ ̄)┌

a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour

Answers

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

:)

Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make

Answers

Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.

Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:

48 = dividend

32 = divisor

 

Step 1:

Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:

             

 3 2 ⟌ 4 8  

Step 2:

The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 2 ⟌ 4 8  

Step 3:

Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.

       0    

 3 2 ⟌ 4 8  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 2 ⟌ 4 8  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 6:

The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 7:

Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

     - 3 2  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 48 divided by 32 calculated using Long Division is:

1

16 Remainder

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Speed=distance over time
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour

solve the following equation 5+7=11+7

Answers

Answer:

The equation, 5+7=11+7 solved step by step is:

5 plus 7, which equals 12.

And then, 11 plus 7, which equals 18.

You put it all together, it turns into 12=18 which isn't true.

So, your problem is not real.

Step-by-step explanation:

Your question has no answer because the two sides aren't equal.

Hope this helped! :)

Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?

Answers

Answer:

4

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

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Find the integers that are closest to 65 (the number in the middle)

Answers

Step-by-step explanation:

Divisors of the Positive Integer 65:

1,5,13,65

Sum of all the Divisors of 65, including itself:

84

Sum of the Proper Divisors of 65:

19

Properties of the number 65:

The integer 65 is an odd number.

The integer 65 is a Composite number.

19 is less than 65, so 65 is a deficient number.

The set {1,2,3,4,...} is called the set of

Answers

This is an example of a finite set

I hope this is the answer you're looking for :)

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Which toy pack has a cost of \$2.50$2.50dollar sign, 2, point, 50 per toy

Answers

Answer:

yoyo

Step-by-step explanation:

Answer: the answer is yo-yo

Step-by-step explanation:

because they say the 6-yo-yo cost 15 dollars. So if you take 6 and multiply it by 2.5 it gives you 15 dollars. Hope this helps

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

its -3h,-2h,6h

Step-by-step explanation:

hope i helped

-3h -2h +6 coefficients have verbales which are letters which is why 9 isn’t a coefficient

A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.

Answers

Answer:

The answer to this question would depend on how many teachers are available in the day care center.

If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;

2, 4, 13, 26, 52

If there are 2 teachers, each teacher will have 26 children

If there are 4 teachers, each teacher will have 13 children

If there are 13 teachers, each teacher will have 4 children

If there are 26 teachers, each teacher will have 2 children

If there are 56 teachers, each teacher will have 1 child

Period of y=2tan (2x+90) -1

Answers

20 is the answer
I hope this help

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?

Answers

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

7 + (−3) simplify
please

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?

Answers

There are 9 digits 1-9.
There is a total of 4,693 digits in the book.
Other Questions
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.a. Let m (w) = 3 w^17 4^w. Find m (w) . b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h (t). c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x). d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x . In this excerpt, the author shows how terrible conditions can cause people to be unsympathetic to the pain of others. How does the memoir genre enable the author to achieve this purpose? He is able to include facts to support his story. He is able to remain objective about what is happening. He is able to share his observations about one event in depth. He is able to provide an in-depth look about why the woman is shouting. porfavor escriban estas oraciones de manera negativa e interrogativa:1 The children play soccer in the park2 HE CALLS TO HIS GIRLFRIEND3 THE GIRL TAKES PHOTOGRAPHS4 MARY DRINKS WATER5 MY FRIENDS SING IN THE DISCO6 They play in the afternoon7 MY GRANDFATHER KISSES TO MY GRANDMOTHER8 HE SELLS FRUITS9 THEY DANCE VERY WELL Which relationship is an example of commensalism?A )A diamondback rattlesnake and a gopher turtle share a burrow. The turtle digs the hole, and the snake provides protection from predators for the turtle.B)Remora fish stick to large sharks, receiving a free ride and scraps of food the shark does not eat. The shark is neither helped nor harmed.C)Hyenas and lions fight over the same antelope kill.D)A tapeworm lives in the intestine of a dog, obtaining food for itself, while slowly harming the dog. Which expression is equivalent to (5x3)(2x)3O 10x6O 30X6O 40x6O 1,000x12 A sudent is given an example of an unknown liquid in the laboratory the student thinks that the liquid is water what which of the following properties of the sample is most helpful to determine the if the liquid is water Which of the following solar oven design materials would serve as the best insulator to minimize the transfer of thermal energy from the inside of the solar oven to the surroundings?1.white paper lining the interior2.metal platform3.foil on the exterior flap4.layers of cotton lining the interior Which one is right i need this fast What major era in U.S history is referred to in the graphic organizer?A. ColonialB. Civil WarC. RevolutionaryD. Reconstruction 5. Cules son los mximos exponentes en la literatura de cada uno de los movimientos Sports and entertainment products are non-perishable. PLEASE HELP"To youthful hearts that long for playTime is a laggard on the way."The previous statement is an example of a(n): A. metaphor B. simile C. personification D. allusion Please help. I'm desperate!!!!!!!!!!! PLEASE HELP !!!!!!!!!!!! ASAPIf set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is Explain what differentiates the Earths crust and lithosphere. HELPPP!!!Question 6 of 10Which of the following ratios are equivalent to 25%?Check all that apply.A. 6:18B. 5:20C. 4:20D. 3:12E. 8:24 (Apex 2.2.4 math 8) PLEASE I'M SO LOSTThe entrance to an accessibility ramp is at ground level.The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.The second section of the ramp begins at the landing. It rises at a slope of\frac{1}{18}and covers another 9 feet of horizontal distance to reach the door.Answer the questions to compare the sections of the ramp.1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.2. Is the steeper part of the ramp from the ground to the landing or the landing to the door? Explain how you decided which part of the ramp is a steeper.3. Slope is equal to rise divided by run. If you know the horizontal distance (run) and the slope, how can you find the vertical distance (rise)?4. What is the vertical distance (rise) from the landing to the door? Show your work.5. What is the total height of the door above the ground? What images do you have of Native Americans of the Old West? Shown below is an example and what you need to draw. I need evidence of daily progress which means I need 6 pictures showing my progress and the 6th one is my finished one. Thank You So Much write a situation to represent the equation y=0.5x