Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?

A.
19
B.
29
C.
30
D.
31

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

[tex]X(t) = X(0)e^{rt}[/tex]

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that [tex]X(14) = 0.5X(0)[/tex]

So

[tex]X(t) = X(0)e^{rt}[/tex]

[tex]0.5X(0) = X(0)e^{14r}[/tex]

[tex]e^{14r} = 0.5[/tex]

[tex]\ln{e^{14r}} = \ln{0.5}[/tex]

[tex]14r = \ln{0.5}[/tex]

[tex]r = \frac{\ln{0.5}}{14}[/tex]

[tex]r = -0.0495[/tex]

So

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

There are 680 grams of element X

This means that [tex]X(0) = 680[/tex]

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

[tex]X(t) = 680e^{-0.0495t}[/tex]

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

[tex]X(t) = 680e^{-0.0495t}[/tex]

[tex]17 = 680e^{-0.0495t}[/tex]

[tex]e^{-0.0495t} = \frac{17}{680}[/tex]

[tex]e^{-0.0495t} = 0.025[/tex]

[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]

[tex]-0.0495t = \ln{0.025}[/tex]

[tex]0.0495t = -\ln{0.025}[/tex]

[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]

[tex]t = 74.5[/tex]

It would take 74.5 minutes for the element to decay 17 grams.

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)

Answer:

A pound of salmon costs 7 dollars.

Step-by-step explanation:

Let's use a ratio:

pounds : $$$

    8       :   56

    4       :    28

    2       :    14

    1        :     7

A pound of salmon costs $7

Answer:

Step-by-step explanation:

56 divided by 8 is 7 so the answer is 7$ for one pound of salmon

Answer:

is there a picture

Step-by-step explanation:

Answer:

$110,579.39 this is the right answer.

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

Answer:

Area=LW=(60m)(40m)=2400 m^2

Step-by-step explanation:

The area of the rectangular pen is 2400 square meters.

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.

Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,

Parameter of rectangle = 200

2(length + width ) = 200

given length of the pen is 60 meters

2(60 + width) = 200

width = 100- 60 = 40

Area of the rectangle = length * width = 60* 40 = 2400

Therefore, 2400 square meters will be the area of the given rectangular pen.

Learn more about the area and parameters of a rectangle here:

https://brainly.com/question/1015355

#SPJ2

Simplify (-2x^3)^2 •y•y^9       Answer 4x^6y^10

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

Answer:

-2

Step-by-step explanation:

6+8 equals 14. 14-16 equals -2

Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Step-by-step explanation:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Answer:

Perp≈12.6 ft

Step-by-step explanation:

Since this is a right angled triangle, so we'll use the formula

Hypotenuse ²=base²+ perp²

Where hyp=14 , base=6

14²=6²+perpendicular ²

196= 36 + perp²

Perp²=196-36

Perp ²= 160

Taking sq root on both sides

Perp=12.649

Perp≈12.6 ft

Answer:

The guy above me is right 12.6

Step-by-step explanation:

hope he gets brainlist

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

Answer:

It will cost 42 to completely fill the box with hay.

have a good day <3

Answer:

72

Step-by-step explanation:

because 6 x 10 is 60 so 6 x 2 is 12, so 12 + 60 is 72.

Answer:

30

Step-by-step explanation:

55 - 25 = 30

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

Answer:

  f(x) = x^2 -12x +20

Step-by-step explanation:

There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...

  f(x) = (x -10)(x -2) . . . . . each zero contributes a factor

  f(x) = x^2 -12x +20

Answer:

Step-by-step explanation:

The given function is

[tex]y=1800+1.3x[/tex]

Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.

Part a is about finding the y-value for [tex]x=2500[/tex]

[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]

Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.

Part b is about the y-value for [tex]x=2501[/tex]

[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]

Part c is about the y-value for [tex]x=2600[/tex]

[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]

Part d is about the y-value for [tex]x=2400[/tex]

[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]

Answer:

  $3,951

Step-by-step explanation:

The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...

  2^(13/6) ≈ 4.489848

Its value will be ...

  $880·4.489848 ≈ $3,951

Answer:

P+m=21

1.5p + 3m < 45

p > 0

m > 0

Step-by-step explanation:

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

Answer:

The number of mice that will be infected next week are 130 while

The number of mice that will be infected in 3 weeks are 111

Step-by-step explanation:

From the information given , the researcher is studying the spread of a virus in a population of 1000 laboratory mice. i.e, n = 1000

Number of infected = 300

Non infected = 1000 - 300 = 700

Probability an infected mouse will overcome = 80% = 0.8

Probability a noninfected mouse becomes infected = 10% = 0.10

The number of infected that will overcome = 0.8 * 300 = 240

The number of non infected that will become infected = 0.1 * 700 = 70

The number that will be infected on the first week =

300 - 240 + 70

= 130

Number that will be healthy on the first week =

700 + 240 - 70

= 870

Calculating for week 2:

The number of infected that will overcome = 0.8 * 130 = 104

The number of non infected that will become infected = 0.10 * 870 = 87

The number that will be infected on the second week =

130 - 104 + 87

= 113

Number that will be healthy on the second week =

870 + 107 - 87

= 887

Calculating for week 3:

The number of infected that will overcome = 0.8 * 113 = 90.4

The number of non infected that will become infected = 0.10 * 887 = 88.7

The number that will be infected on the third week =

113 - 90.4 + 88.7

= 111.3 ≈ 111

Number that will be healthy on the third week =

887 + 90.4 - 88.7

= 888.7 ≈ 889

From our calculations, the number of mice that will be infected next week are 130

The number of mice that will be infected in 3 weeks are 111

Answer:

$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.

Step-by-step explanation:

Answer: 2.86

Step-by-step explanation:

14+26=40

40/14

Answer:

2.86

Step-by-step explanation:

Answer:

20 pizzas in total

bro now i want pizza

Step-by-step explanation:

16 pizzas = 80%

8 pizzas = 40%

4 pizzas = 20%

Kono Dio Da!!!