If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]

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Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

Answer:

N=5

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 180

N=5

Answer:

Answer:

N=5

Step-by-step explanation:

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 190

N=5

Answer:

48

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Quotient means the answer of a division problem.

The only answer choice that shows division is option D.

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Answer:

This is for solving x is x=6+2y and solving for y is y=-6-x/2

they both are the same

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Step-by-step explanation:

Step-by-step explanation:

(2x+13)°=3y°

(5y-4)-180=3y

5y-184=3y

5y-3y=184

2y=184

y=92

2x+13=3*92

2x=263

x=131.5

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

Step-by-step explanation:

An = -2 * An-1

What this means is that you multiply -2 to the term to get the next term.

Since our 1st term (A1) is -2, we have:

A2 = -2 * A1 = -2 * (-2) = 4,

A3 = -2 * A2 = -2 * (4) = -8,

A4 = -2 * A3 = -2 * (-8) = 16,

A5 = -2 * A4 = -2 * (16) = -32,

A6 = -2 * A5 = -2 * (-32) = 64.

Hence our first 6 terms in the GP are

-2, 4, -8, 16, -32 and 64.

Answer:

As Mixed Fraction

= $ (4 171717/1000000)

As a fraction

= $(4171717/1000000)

Step-by-step explanation:

A manufacturer determines that the cost of making a computer component is $4.171717. Write the repeating decimal cost as a fraction and as a mixed number

As a mixed fractions

= $4.171717 = $4 + 171717/1000000

= 4 171717/1000000

As. Fraction

= 4171717/1000000

Answer:

100 miles. hope this helps

Answer:

Here, For a given figure,

Area (A) = 10 in². (given)

Now,

1 inch = 50 miles

So,

1 inch² = 50 miles²

So, 10 × 50 = 500

-TheUnknownScientist

Answer:

Step-by-step explanation:

They are both sine functions. The blue one is multiplied by 2 and shifted down one.

blue:  y = 2 * sin(theta) - 1

green: y = sin(theta)

I'm not sure what the answers mean.

Answer:

2 miles branliest pls

Step-by-step explanation:

Answer:

2miles in 1 hour

Step-by-step explanation:

miles  hours

1/2        1/4

1           2/4

1 1/2      3/4

2          4/4

Answer:

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.

Step-by-step explanation:

bro trust me

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Answer:

1400/100 x 2.25 = $31.50

Answer:

Area of sector = 117.6 cm²

Step-by-step explanation:

Radius of sector r = 10 cm

Angle Ф = 135°

We need to find Area of sector

The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]

Where Ф is the angle, and r is the radius.

Putting values and finding area of sector

[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]

Now, rounding off answer to 1 decimal place:

[tex]Area\:of\:Sector=117.6\: cm^2[/tex]

So, Area of sector = 117.6 cm²

Answer:

1/2 of a minute

Step-by-step explanation:

Answer:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Step-by-step explanation:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Answer:

√13 - √11

Step-by-step explanation:

You have to simply the radical expression

Answer: x = 11

Step-by-step explanation:

first, i did simple calculations.

4x(2) = 88

that calculates out to:

8x = 88

then, i divided both sides by 8, in order to get x by itself.

8x/8 = 88/8

x = 11

Answer: y = -1/3x - 1

Step-by-step explanation:

Answer:

18.76

Step-by-step explanation:

Answer: Each candy bar cost him 3$

Step-by-step explanation:

First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.

Answer:

$3

Step-by-step explanation:

Answer:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4