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Step-by-step explanation:

2).

Given that 1/(7+5√2)

We know that

The Rationalising factor of a+√b is a-√b

The denominator = 7+5√2

The Rationalising factor of 7+5√2 is 7-5√2

On Rationalising the denominator then

=> [1/(7+5√2)]×[ (7-5√2)/(7-5√2)]

=> [1×(7-5√2)]/(7+5√2)(7-5√2)]

=> (7-5√2)/[(7+5√2)(7-5√2)]

=> (7-5√2)/[7²-(5√2)²]

Since , (a+b)(a-b) = a²-b²

Where , a = 7 and b = 5√2

=> (7-5√2)/(49-50)

=> (7-5√2)/(-1)

=> -7+5√2

=> 5√2-7

3).

Given that (x-2)³

This is in the form of (a-b)³

Where, a = x and b = 2

We know that

(a-b)³ = a³-3a²b+3ab²-b³

=> (x-2)³ = x³-3(x²)(2)+3(x)(2)²-2³

=> (x-2)³ = x³-6x²+12x-8

The coefficient of x² is -6

Answer:

y=2x+9

Step-by-step explanation:

y-y(0)=m(x-x(0))

y-1=2(x+4)

We are finding slope:

change in y / change in x

277 - 205 / 2007 - 1997

72 / 10

7.2

Answer:

$1,624.29

Step-by-step explanation:

The equation here is A = P + I.

A is the total, P is the principal (the amount you start out with so 1,500), and I is the interest (the quarterly interest in total is $124.29. 0.04 rate per year compounded four times per year over two years)

1,500 + 124.29 = $1,624.29

The balance in two years will be $1624.28.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Principal amount = $1500

Rate = 4% = 0.04

Time = 1/4 years

Now,

We know that;

The total amount after 2 years is,

⇒ [tex]A = P (1 + rt)^4^n[/tex]

Here, n = 2 years

Substitute all the values, we get;

⇒ [tex]A = P (1 + rt)^4^n[/tex]

⇒ A = 1500 (1 + 0.04/4)⁸

⇒ A = 1500 (1 + 0.01)⁸

⇒ A = 1500 (1.01)⁸

⇒ A = 1624.28

Thus, The balance in two years will be $1624.28.

Learn more about the simple interest visit:

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Answer:

I think its 6.64575131

Step-by-step explanation:

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

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Answer:

Circumference of a circle = 2πr (r is radius of circle )

Total distance covered in 1000 revolution = 88km = 88000 m

=> 1000 × 2πr = 88000 m

=> 2πr = 88

=> r = 88/2π (Value of π = 22/7)

Hence , r = 14 m

Step-by-step explanation:

I don't know if that's the true answer I search that

Answer:

216

Step-by-step explanation:

[tex] \frac{2}{9} x = 48 \\ x = 48 \times \frac{9}{2} \\ x = 216[/tex]

Answer:

y = -2/5x - 3/5

Step-by-step explanation:

2x + 5y = -8

5y = -2x - 8

y = -2/5x - 8/5

y = -2/5x + b

-3 = -2/5(6) + b

-3 = -12/5 + b

-3/5

Answer:

∠ PQR = 150°

Step-by-step explanation:

∠ PQR = ∠ PQS + ∠ SQR , substitute values

12x - 6 = 16 + 9x + 17

12x - 6 = 9x + 33 ( subtract 9x from both sides )

3x - 6 = 33 ( add 6 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°

Answer:

m<PQR = 150°

Step-by-step explanation:

<PQR = (12x-6)°

<SQR = (9x+17)°

<PQS = 16°

find m<PQR.

since <SQR + <PQS = <PQR,

then (9x+17)° + 16° = (12x-6)°

combine like terms;

9x + 17 + 16

9x + 33 = 12x - 6

subtract 33 from both sides;

9x = 12x - 39

subtract 12x from both sides;

-3x = -39

divide by -3;

x = 13, then input x into the equation for m<PQR;

m<PQR = (12x-6)°,

(12(13)x - 6)°

(156 - 6)°

Answer: 150°

Answer:

238

Step-by-step explanation:

the quotient simply means the result of the division. when you divide 952 by 4, you get 238

Answer:

3.92

Step-by-step explanation:

Answer:

216 acres

Step-by-step explanation:

54,000 x 0.4% = 216

Answer:

Yes ofcourse

Step-by-step explanation:

Why not.....^_^

Answer:

I don't think so

Step-by-step explanation:

The studio earns $3.40 on commision because thats 40% of $8.50

The theater earns $5.10 because that would be the rest of the money

Answer:

either c or d

Step-by-step explanation:

The absolute value expression must be isolated on one side of the inequality before solving. either and or...OR  

Answer:

Step-by-step explanation:

1.

a.9 ^3/2 = 27

b. 27 ^1/3 = 3

c. 125 ^2/3 = 25

b , c , a

2.

64 ^1/2 x 10 ^-2

8 x 1/100 = 2/25

3.

16 ^1/2 x 2 ^-3

4 x 1/8 = 1/2

4.

8 ^x = 2

2 ^3x = 2^1

3x = 1

x = 1/3

Answer:

y=62 degrees

x=160 degrees

Step-by-step explanation:

Answer:  4) Not binomial: there are more than two outcomes for each trial.

Explanation:

There are 6 outcomes and they are: {1,2,3,4,5,6} which are the labels on a standard 6-sided die. A binomial distribution only concerns itself with things where we have 2 outcomes. For example, flipping a coin to have it land on heads or tails, would be considered a binomial experiment.

Answer:

We know that negative times anything means that it will change the sign. Ideally, the second negative should change the sign of our original number (which is also negative). So, our original negative sign is changed into a positive sign when a negative is multiplied to it.

Step-by-step explanation:

Give Brainliest

Answer:

x = 8

z = 93°

You had to solve the equation 13x-17=14x-25 and than solve {360-(87*2)} /2

Answer:

I believe it's 9.

Step-by-step explanation:

Have a good day/night

Answer:

Apples = 11, Apricots = 4

Step-by-step explanation:

Apple= 7 + Apricots

15 = Apple+ Apricot

15= 7 + Apricots + Apricots

15 = 7 +2Apricots

8 = 2 Apricots

4= 1 Apricot

Apple = 7 + 4 = 11

Answer:

9kg

Step-by-step explanation:

100% = 12kg

75% =

75/100 × 12 = 9

Answer:

LOLLL

Step-by-step explanation:

Answer:

(x³-6)/(x+2) = x²-2x+4 - 14/(x+2)

Step-by-step explanation:

Answer: Answer In Photo

Answer:

a ≥ 9

Step-by-step explanation:

um

Answer:

X≥9

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Step 1: Build the equation.

Step 2: Simplify.

Step 3: Multiply both sides by 25/16.

Therefore, the missing number is 75 to complete the equation 75% of 64 = 48.