850 liters of walcr was shared cqually among 5 aquariums.
Ilow many liters of water does each aquarium have?

Answer:

Step-by-step explanation:

raduis and diameter.

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

volume = Pi(2x^2+3x-5) x (2x+5)^2    or     P1(8x^4+52x^3+100x^2-125)

Step-by-step explanation:

radius = (4x+10)/2 = 2x+5

volume = Pi(2x^2+3x-5) x (2x+5)^2

volume = Pi(2x^2+3x-5) x (4x^2+20x+25)

volume = P1(8x^4+52x^3+100x^2-125)

Answer:

Is that all...

Step-by-step explanation:

Is there any other information if not then it is impossible to answer that question.

Answer:

y = -x -1

Step-by-step explanation:

x1= 0, y1= -1

[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]

-1 = x/(y+1)

-1 (y+1) = x

y+1 = -x

y= -x -1

Answer:

The answer is 18

Step-by-step explanation:

18 + x really means 18 + 0, because x is equal to 0

and if 18 + x = y, it means 18 + 0 = y,

so y is equal to 18

hope this helped!

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

Answer:

x = 9/11

Step-by-step explanation:

5x = -6x + 9

Add 6x to both sides

11x = 9

Divide both sides by 11

x = 9/11

Answer:
X Equals 9/11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.

Answer: No, he is not correct, the correct equation is:

225 + 2*r = 1475

Solving that, we can find that each bag of raisins has 625 grams of raisins.

Step-by-step explanation:

I suppose that the problem is as follows:

"Sam had 225 grams of raisins. After buying another two bags of raisins he then had  1475 grams of raisins"

Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:

2*r grams of raisings.

Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:

225 + 2*r = 1475

This is what he should get.

and we can solve it for r, to get:

2*r = 1475 - 225 = 1250

r = 1250/2 = 625

r = 625

This means that each bag of raisins has 625 grams of raisins.

But instead, he got:

225*r + 2 = 1475

In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.

Answer:

11

Step-by-step explanation:

Creo nose XD (revisa los múltiplos de 11 siempre son pares) xd

Answer:

.9

Step-by-step explanation:

-1(t+8) = -7.1

PEMDAS

So times the parenthesis by -1

-t - 8 = -7.1

Add the 8 to itself to get rid of it

Then since you added it on the left, add it to the right

-t = .9

t = .9

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

The alternate interior angles shown are <3 and <5, as well as <2 and <8.

I hope this helped!

Answer:

ur answer would be

<2 and <5

step-by-step explanation:

hope this helps

Answer:

y=5/3x+-3

Step-by-step explanation:

Answer:

y= 5/7x -2.7

Step-by-step explanation:

Y= mx + c                             (-3,-3)   (4,2)

                                           x1  , y1     x2, y2

to find m (gradient)

y^2 - y^1 / x^2 - x^1

2-(-3) / 4 - (-3)

5/7                               m = 5/7

take (4,2)  and gradient and substitute

2=5/7(4) + c

2=4.7+ c

2-4.7 = c

-2.7 = c

now we have c and m so just put it in the equation

y= 5/7x -2.7

Answer:

3 tenths

Step-by-step explanation:

The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

We know, A number has two values face value and place value,

Given, A decimal number 16.35.

Now, The digit 3 is one digit after the decimal,

So, It has a face value of 3 and a place value of 3×10⁻¹.

learn more about face value and place value here :

https://brainly.com/question/23719802

#SPJ2

Answer

(3x-3)

Step-by-step explanation:

Answer:

$41500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year,

putting time into years for simplicity,

3 months ÷ 12 months/year = 0.25 years,

then, solving our equation

I = 40000 × 0.15 × 0.25 = 1500

I = $ 1,500.00

The simple interest accumulated

on a principal of $ 40,000.00

at a rate of 15% per year

for 0.25 years (3 months) is $ 1,500.00.

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

Answer:

11a - 8b.

Step-by-step explanation:

7a + 4(a-2b)

= 7a + 4a - 8b

= 11a - 8b.

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

      +14 +14        Add 14 on both sides

  5/7x = -8        

(7/5)*5/7x = -8*(7/5)     Multiply by the reciprocal on both sides to leave x alone

  x= -11.2      Answer

Answer:

Triangle WRD's angles are all 60 degrees, angle W and angle R and angle D.

Triangle WRD is an equiangular, equilateral triangle. It is also an acute triangle, as all angles are less than 90 degrees.

Step-by-step explanation:

You are told that WRD has all equal sides, each 3 inches long.

In a triangle, if sides are equal, then the opposite angles are also equal. So if ALL the sides are equal, then ALL the angles are equal.

The sum of the interior angles in a triangle is always 180 degrees. Since the trhee angles are all equal and they must add up to 180 degrees, 180/3 =60, so the angles must all be 60 degrees.

Triangle are classified by sides as

*** scalene = no equal sides

*** isosceles = two equal sides

*** equilateral = all equal sides

Triangles are classified by angles as

*** right triangle = one 90 degree angle

*** obtuse triangle = one angle larger than 90 degrees

*** acute triangle  = all angles less than 90 degrees

*** equiangular = all angles equal

There can be overlap in the categories, like an acute triangle also being equiangular.

Answer:

I can't see it

Step-by-step explanation:

We need a bigger picture.

Answer:

Game =$6 and ride=$9, to solve is 3x+4y=54

x+y=15

Step-by-step explanation:

;)

Answer:

4/30 or 4/120

Step-by-step explanation:

Answer:

115 m

Step-by-step explanation:

4 + 9 + 6 + 4 = 23 cm

23 x 5 = 115 m