Calculate the area and perimeter

(a ² + b ²) / (ab) = a/b + b/a = (√3 - √2) + 1/(√3 - √2)

Rationalize the denominator of the second term:

1/(√3 - √2) • (√3 + √2)/(√3+√2) = (√3 + √2)/((√3)² - (√2)²) = √3 + √2

So we have

(a ² + b ²) / (ab) = (√3 - √2) + (√3 + √2) = 2√3

Answer:

125 (x+4)

Step-by-step explanation:

all you have to do is group the common factor

Hey there! Let's solve your problem:

The answer to your question is 24.9

This question is asking to round to the nearest tenth.

The number in the tenths place is the number 9.

So, we will remove all the numbers after the 9.

We get the number 24.9

Best of Luck!

Answer:

-6x-14

Step-by-step explanation:

3(-2x-3)-5

-6x-9-5

-6x-14

Answer:

principal

Step-by-step explanation:

The amount invested is the principal

Answer:

Step-by-step explanation:

[tex]\sf 6m + 2 < 5m-4[/tex]

➠Subtract 2 from both sides:

[tex]\sf 6m+2-2<5m-4-2[/tex]

➠ Simplify:

[tex]\sf 6m<5m-6[/tex]

➠ Now, Subtract 5m from both sides:

[tex]\sf 6m-5m<5m-6-5m[/tex]

[tex]\sf m<-6[/tex]

______________________________________

Answer:

13 months

Step-by-step explanation:

Total spent: $440

Sign-up fee: $50 (a one-time fee)

Membership fee: $30/month

[tex](440 - 50) \div 30 = 13 \: months[/tex]

Answer: 1 is not possible, 2 is SAS, and 3 is SSS

1 is AAA, which is not a triangle congruency theorem, thus not possible.

The markings on 2 display two congruent sides with a congruent angle between, and is thus SAS.

3 shows two congruent side markings and a shared side length, thus 3 sides are congruent (SSS).

Answer:

12√b5

Step-by-step explanation:

.................

Answer:  Choice A) [tex]b^{5/12}[/tex]

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

Work Shown:

[tex]\frac{\sqrt[3]{b^2}}{\sqrt[4]{b}}\\\\\\\frac{b^{2/3}}{b^{1/4}}\\\\\\b^{2/3 - 1/4}\\\\\\b^{8/12 - 3/12}\\\\\\b^{5/12}\\\\\\[/tex]

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Explanation:

Answer:

a

Step-by-step explanation:

look at it as a quarter. 4 quarters = a dollar or 100 cents. so 3 quarters = 75 cents so 75%

Answer:

75 or a

Step-by-step explanation:

100÷4=25

25x3=75

Hopefully that makes sense

Answer:

1 and 4 are parallel

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

80-20/80*100

60/80*100

75%.

Hope this helps :D

Answer:

  10080, 10290

Step-by-step explanation:

The multipliers of 210 required will be mutually prime integers that satisfy ...

  10000 ≤ 210n ≤ 11000

  47.61 ≤ n ≤ 52.38

That is, you want a pair of integers, each between 48 and 52, that have no common factors. Possibilities include ...

  (48, 49), (49, 50), (49, 51), (49, 52), (50, 51), (51, 52)

For the above numbers, we have chosen ...

  48×210 = 10,080

  49×210 = 10,290

Answer:

the answers 325 hope this helps your day

Answer:

y = 4x - 1

Step-by-step explanation:

Just plug it into slope intercept form which is y = mx + b

hope this helped!

As we can see that common difference is increasing to one more digit after every term

so it means

a21 = 231

Answer:

1. a_n = a_(n-1) + n where a_1 is 1 or a_n = n(n+1)/2

2. 231

Step-by-step explanation:

Notice that from 1 to 3, you add 2; from 3 to 6, you add 3; from 6 to 10, you add 4, etc. The pattern here is add 2, add 3, add 4, add 5, etc.

1. Let the nth term be a_n. The recursive equation can be written as a_n = a_(n-1) + n where a_1 = 1 (Use this because they most likely teach you this in schools)

Here is it written in an arithmetic equation (most likely not taught in school):

We can write an arithmetic expression using the summation formula because it is basically the sum of the numbers from 1 to n, so a_n = n(n+1)/2

2. Using the recursive, we would need to constantly add until you get up to a_21, which would take a while. Using the arithmetic equation, we can simply get:

21(21+1)/2 = 21(11) = 231

I hope this helps! :)

Answer:

There are 13 years 6 months and 12 days.

Step-by-step explanation:

Let's convert the scientific notation to standard form of minutes

7.01568x10^6 =7015680 minutes

Now, let's convert this to number of days because each day has 24*60=1440 minutes.

So, number of days in 7015680 minutes is [tex]\frac{7015680}{1440}[/tex]=4872 days

Now, change this 4872 days to years, months and days.

We know 1 year has 12 months and one month has 30 days.

So,

Number of years =[tex]\frac{4872} {12*30}[/tex]=13.53333333 years

Now, convert 0.53333333 years to months.

0.53333333*12=6.4 months.

Now, convert 0.4 months to days.

0.4* 30 =12 days.

So, there are 13 years 6 months and 12 days.

Answer:

3x³ + 23x² + 63x + 55

Step-by-step explanation:

Given

(3x + 5)(x² + 6x + 11)

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

3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis

= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms

= 3x³ + 23x² + 63x + 55

Answer:

I did this exact same question on USATestPrep and here's what I answered that I got correct:

B, C and this one isn't an answer choice but the additional answer was: "1,000 grams of radioactive material with a half-life of 6 hours."

Hope this helps! I'm sorry if it doesn't help future people who sees this :/

The situations described can be modeled by an exponential function will be options B and C.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

Let's check all the options, then we have

A. Car rental for $38 plus $0.40 mile driven, it is an example of a linear function.

B. Bacteria colony of 5,000 triples every 60 minutes, it is an example of an exponential function.

C. City with a population of 20,000 doubles every 8 years, it is an example of an exponential function.

D. Amusement park membership costs $40 and then just $5 per visit​, it is an example of a linear function.

The situations described can be modeled by an exponential function will be options B and C.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5

Answer: Positive

Step-by-step explanation:

Answer: B

Step-by-step explanation: the values start from zero to higher

Answer:

I would say its D

Step-by-step explanation:

srry if I'm no help

Answer:

yes technically but they are alternate interior angles but i dont know if you have learnt them yet

Step-by-step explanation:

if you have learnt this it is alternate interior angles.

Answer:

8.1 + 7.9 X - 25 ÷ 5

16 X - 5 X

= 11 X

HOPE YOU UNDERSTOOD!

THANK YOU ♡

MARK AS A BRAINLIEST ANSWER!!☆

Answer:

11x

Step-by-step explanation:

(8.1 + 7.9)x – (25 ÷ 5)x = (8.1+7.9)x - 5x

                                     = 16x - 5x

                                     = 11x

Answer:

The part of the expression representing the amount of tax to be paid is;

0.08(507)

Step-by-step explanation:

Here, we want to select the part of the expression that represents the amount of tax Deborah has to pay

From the expression, we have ;

0.08(507) + 50h

Kindly note that we can have 0.08 as 8/100

8/100 is same as 8%

when we represent taxes, it is usually a percentage of something

In that case, the tax part would be ; 0.08(507)

5=-4y-21

Add 21 to both sides

26=-4y

divide -4 to both sides

-6.5=y

Answer:

i think its 2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation: