The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool

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Explanation:

The changes of this number are

The overall net change is -0.4+0.008+20 = 19.608

We'll be adding this net change to the original number

143.351 + 19.608 = 162.959

This value is exact and hasn't been rounded.

Answer:

-4x+1-10

Step-by-step explanation:

-2(2x+5)=0

-4x-10=0

-4x+1-10=0

-4x-9=0

-4x=9

x=9/-4

x=-2,25

please inform if wrong

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Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

Answer:

a=2 and b=2...............

Answer:

y=2 x=4

Step-by-step explanation:

Substitute x with 2y so the second equation is 2y+y=6

Then simplify your new equation:

3y=6

y=2

If y=2 and x=2( 2) then x=4

Answer:

It is 1/10

Step-by-step explanation:

One decade has 10 years

[tex]{ \sf{1 \: decade = 10 \: years}} \\ { \sf{ \frac{1}{10} \: decade = 1 \: year}}[/tex]

Answer:

10% , 1/10, or 10/100

Step-by-step explanation:

There are 10 years in a decade

1/10 represents the 1 year out of the 10!

Answer:

3

Step-by-step explanation:

[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]

therefore,

[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]

however, since logarithms cannot have negative arguments, x can only be +3

i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.

Answer:

Answer is 4 I think!!

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

Answer:

According to the graph the point (0, 4) is the maximum of the function.

So the domain:

The range:

Answer:

3.004

Step-by-step explanation:

If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!

Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Answer:

Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.

Answer:

28,21

Step-by-step explanation:

let the numbers be x and y

x+y=49

y=49-x

xy=588

x(49-x)=588

49x-x²=588

x²-49x+588=0

[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]

Answer:

No

Step-by-step explanation:

<JAC = 93

< DBE = 90

The two angles are not equal

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer: LESS THAN FOUR

Step-by-step explanation:

Answer: 3.6

Step-by-step explanation:

Answer:

63.6 pounds

Step-by-step explanation:

Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.

So 6% of 60 is

[tex]\frac{x}{60} *100=6[/tex]

x=360/100

x=3.6

So Jimmy's dog weighs 60+3.6=63.6 pounds

[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]

I hope I helped you^_^

Hi there!  

»»————-　★　————-««

I believe your answer is:

[tex]6w-9y+18[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

2/3 quarts

Step-by-step explanation:

Paint used by 9 artists = 6 quarts

So, paint used by 1 artist if shared equally among the 9 artists

= 6 quarts/9

= 2/3 quarts

= 0.6666...... quarts

Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.

To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist

To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.

To know more about  artists , here

https://brainly.com/question/1504175

#SPJ2

9514 1404 393

Answer:

  $321.99

Step-by-step explanation:

Use the annuity formula and solve for P.

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.

  50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)

  P = 50,000/155.282279 = 321.99

You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.

Step-by-step explanation:

find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.

now find the area of the other semicircle on top of the big semicircle.

add your results

area of semicircle=1/2(pir^2)

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

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Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

Answer:

1they are 15 kilometers apart

Answer:

The answer is 6000 days.

a = 16

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)