Mathematics College

let
[tex]A=(\sqrt{2} +\sqrt{3} )(\sqrt{4} +\sqrt{5} )...(\sqrt{2020} +\sqrt{2021} )\\B=(\sqrt{2021} -\sqrt{2020} )(\sqrt{2019} -\sqrt{2018} )...(\sqrt{3} -\sqrt{2} )[/tex]
what is A times B?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

A)

[tex]( \sqrt{3 } - \sqrt{2} )( \sqrt{3} + \sqrt{2} )( \sqrt{5 } - \sqrt{4} )( \sqrt{5} + \sqrt{4} )....[/tex]

using difference of two squares

[tex]( \sqrt{a} + \sqrt{b} )(\sqrt{a} - \sqrt{b} ) = a - b[/tex]

we can rewrite the A) to 1×1×1×1.... so the answer would be 1

Related Questions

I need help if you get right I will mark you

Answers

Answer:

20% of his budget

Step-by-step explanation:

1500 - 100% /10

150 - 10 % ×2

300 - 20%

Answer:

20%

Step-by-step explanation:

The % is 300 / 1500 * 100% = 0.2 * 100% = 20%

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

WALLAHI HELP ME PLESEE WALLAHI HELP ME PLEASE I BEG ANYONE

Answers

9514 1404 393

Answer:

A: j = 25 +55hB: m = 50 +30h1 hour

Step-by-step explanation:

We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:

  j = 25 +55h

Job B is the charge at Myron's shop. Similarly, that charge is ...

  m = 50 +30h

__

The two charges are equal when ...

  j = m

  25 +55h = 50 +30h

  25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation

  h = 1 . . . . . . . . . . divide by 25

The charges are the same at the two shops for 1 hour worked.

_____

Additional comment

You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.

__

In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.

Pls help with this asap

Answers

The answer is A and D

Please help.. You can answer one if you want but whoever answers both get brainliest

Answers

Answer:

1. A

2.C

Step-by-step explanation:

1. 170+170+10+10=360

2. 60x25=1500

1500/100=15

25-15=10

10% OF 10= 1

The answer is 11.

what is -3/4 +7/2 in simplest form

Answers

Answer: 11/4

or 2.75

Step-by-step explanation:


izllllllllllllllllllll

Answers

Answer:

32 :P

Step-by-step explanation:

10x2 is 20, 6x2 is 12, and 12+20=32

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

0.9781

Step-by-step explanation:

just pop it into a calculator :)

I’ll give points + brainslist, if you don’t know don’t bother answering (:

Answers

Answer:

I think that its D

Step-by-step explanation:

..

Answer:

A 2

Step-by-step explanation:

have a good day /night sorry if wrong

How many 4 digit numbers are multiples of 8?

Answers

Answer:

The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.

please help i have been stuck on this for 3 hours

Answers

Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours

Hey guys, I just got braces and they are really uncomfy so how long did it take yall to get used to them?

Answers

Answer:

it took me like 1-2 months to be honest. after that it just feels normal

Step-by-step explanation:

I had them and it took about a month or two

Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)

Answers

Answer:

Histogram is the correct answer

MARK AS BRAINLIEST PLEASE.

The type of graph used is Bar graph.

What is Bar graph?

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

As, per the given data,

the best way to represent the data is Bar graph.

The data is a primary data and for such type of data Bar graph is used,

Learn more about Bar graph here:

https://brainly.com/question/8644324

#SPJ2

What is the length of missing side Y Options are on photo

Answers

Answer:

The selected answer is correct (8 cm)

Step-by-step explanation:

So in this problem

we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)

We also happen to be given the rectangles length

So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle

Triangle base length = 14 cm - 6 cm

14 - 6 = 8

Hence the answer is 8 cm

What is the volume if
the base is 48 square inches and height is 8 inches

Answers

Answer:

Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.

Step-by-step explanation:

Well volume for those two shapes could be b*h

SO base times height is always gonna give you volume for most shapes

what is the slope of 4x-3y=18

Answers

Answer:

Look below

Step-by-step explanation:

[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]

Answer:

Slope: 4/3

y-intercept: -6

Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.

Answers

Answer:

8.75

Step-by-step explanation:

A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.

Answers

Answer:

8 boxes of donuts

Step-by-step explanation:

72$ /9$ = 8 boxes of donuts

The area of a rectangle with a
length of 10 cm and a width of 3
cm.

Answers

Answer:

30 cm2

Hope this helps

Answer:

30

Step-by-step explanation:

A=w*l=3·10=30

BRAINILEST PLEASE

set up a proportion and use it to solve for x​

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Set up the proportion

[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]

[tex]18 + 3x = 42[/tex]

[tex]3x = 24[/tex]

[tex]x = 8[/tex]

WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT

Answers

Answer:

The first option and the third option

Step-by-step explanation:

Since the figure moved 4 places down and 4 places to the right.

Answer:

Option 1, ,2, 3, and 4 are correct.

Step-by-step explanation:

Have a nice day!

-7x + 2y = -5
y = -7x + 8
explain how please

Answers

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

I REALLLY NEEED THISSSS ANSWERRRR PLZZZZ I'M GOING TO FAILLL I ONLY NEEEED ONE MOREEEE.
Give an example of other data that can
be represented using a histogram.
________________________________________
________________________________________

Answers

Answer: weight, heigh, and how many times something occurre.

Step-by-step explanation:

Pleaseee helppp me on this

Answers

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

take -7 for example

when -7 is x, we plug it into the equation

[tex]y=x-6[/tex]

[tex]y = (-7) -6[/tex]

[tex]y=-13[/tex]

you would do this same process for the rest of the x values.

PLs help me. I need to find the measure of B

Answers

Answer: 52

Step-by-step explanation:

cos=7/11.4 -> cos-1(cosB) = cos-1(7/11.4)

m<B = cos-1(7/11.4) = 52

Problem Suppose an archaeologist finds a camel tooth that contains 42 % of original amount of C-14. Find age of the tooth. N = Noekt No = initial mass of C-14 (at time t= 0) N = amount of C-14 at time t k= 0.0001 t = time, in years Since, our equation can be written like this: 0.42 No = Noe Noe -0.00010​

Answers

Answer:

8,675

Step-by-step explanation:

Anyone who know what the answer please please?!

Answers

Answer:

x = 26.4°

Step-by-step explanation:

Defence angle = x

Side length Opposite to reference angle = 4

Hypotenuse length = 9

Apply trigonometric ratio, SOH. Thus:

Sin x = Opp/Hyp

Sin x = 4/9

[tex] x = sin^{-1}(\frac{4}{9} [/tex]

x = 26.3878° = 26.4° (nearest tenth)

Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each type from the
drawer.
Music Style Probability of Picking a CD
pop
0.2
rock
0.1
metal
0.3
country
0.4
Rachel picks a CD 150 times, replacing each pick before the next draw. Arrange the events in order from the lowest predicted frequency to the
highest predicted frequency.
picking a pop
music CD
picking a rock
music CD
picking a metal
music CD
picking a country
music CD

Answers

Answer:

rock, pop, metal, country

Step-by-step explanation:

i just took the test :)

On Edmentum and got it right.

1. Tamekia and Marsha mow lawns during the summer to earn money. Tamekia
determined that she can earn between $6.00 and $6.25 per hour. Marsha
estimates that she earns between $7.50 and $8.00 per hour. About how much
more money will Marsha earn than Tamekia if they each work 22 hours? *
A. $65.01 to $85.00
B. $45.01 to $65.00
C. $25.01 to $45.00
D. $5.00 to $25.00

Answers

C 25.01- 45.00
Marsha will make 33-38 more dollars than tamekia

Answer:B

Step-by-step explanation:

Jill wants to paint the front and top surfaces of each step leading to her porch. There are 6 steps like the one shown. How many total square inches of the steps will she paint?

A: 1,296

B: 1,776

C: 3,552

D: 5,760​

Answers

Answer:

1296

Step-by-step explanation:

12 multiplied by 8 gives 96 which is the total square inches of the front step. 12 times 10 is 120 giving you the total square inches of the top. 120 + 96 gives you 216. 216 multiplied by 6 gives you the total square inches of all 6 steps which is 1296.

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