What is the value of the constant in the equation that relates the height and
width of this rectangle?

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

Answer:

3, 5, 4, 8, 11, 15, 2, 3, 5, 2, 4, 3.5

Step-by-step explanation:

1: 6*0.5= 3

2: 10*0.5= 5

3: 8*0.5= 4

4: 16*0.5= 8

5: 22*0.5= 11

6: 30*0.5= 15

7: 8*0.25= 2

8: 12*0.25= 3

9: 20*0.25= 5

13: 20*0.1= 2

14: 40*0.1= 4

15: 35*0.1= 3.5

Answer:

y = 6

Step-by-step explanation:

you cross multiply so 3 x 16 = 46 and 8 x y = 8y

it should look like this now -> 8y = 48

divide both sides by 8 -> y = 6

Answer:

y=6

Step-by-step explanation:

rewrite equation 16/y=8/3

multiply the numerator of the first fraction by the denominator of the second fraction. set this equal to the product of the denominator of the first fraction and the numerator of the second fraction

16 * 3= y * 8

rewrite equation as y*8=16*3

multiply 16 by 3

y*8=48

divide each term in y88=48 by 8

y=48/8

divide 48 by 8

y=6

Answer:

77

Step-by-step explanation:

Answer:

25x8xW=300

We=300/25x8

W=1.5 feet

Answer:

You've got it right. Unless its because the answer is negative.

Step-by-step explanation:

i'm sorry, hope this helps

Answer:

1)

(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12

Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.

2)

a) x^2 + x - 2

b) x^2 - 7x + 10

c) 4x^2 - 1

d) x^2 + 10x + 25

Step-by-step explanation:

a. (x - 1)(x + 2)

x(x) - 1(x) + 2(x) - 1(2)

x^2 - 1x + 2x - 2

x^2 + x - 2

------------------------------------------

b. (x - 5)(x - 2)

x(x) - 5(x) - 2(x) - 5(-2)

x^2 - 5x - 2x + 10

x^2 - 7x + 10

------------------------------------------

c. (2x + 1)(2x - 1)

2x(2x) + 1(2x) - 1(2x) + 1(-1)

4x^2 + 2x - 2x - 1

4x^2 - 1

------------------------------------------

d. (x + 5)^2

(x + 5)(x + 5)

x(x) + 5(x) + 5(x) + 5(5)

x^2 + 5x + 5x + 25

x^2 + 10x + 25

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

Answer:

1. 0.33

2. the cost per ounce

3. that everytime you go up an ounce, it will cost 0.33 more

4. y = 0.33x + 0.33

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰

Answer:

50-3 x 12 - 9

Step-by-step explanation:

Answer:

1/3 - 1/4 = 1/12Step-by-step explanation:

Answer:

1/3 × 4/3

Step-by-step explanation:

because

if a/b ÷ c/d

the behind one > c/d >must change to > d/c

so a/b × d/c

Answer:

$247.50

Step-by-step explanation:

330 decrease 25% =

330 × (1 - 25%) = 330 × (1 - 0.25) = 247.5

Answer:

720 Minutes

An analogue clock is split up evenly in two ways. Minutes are sixty equal parts and hours are 12 equal parts. That means that for every hour maker from 12 there are also five minute markers.

Hoped this helped!

Brainly, please?

Answer: 72

Step-by-step explanation: We did this question during class and this was the answer. Hope this helps!

The number of block that can be placed in box can be calculated by finding the area of the ample supply of identical blocks.

The number of block that can be placed in block is 84.

Given:

The box is 6 units tall, 7 units wide, and 8 units deep.

Calculate the area of the box.

[tex]\begin{aligned}{\rm Area\: of\:the\: box}=6\times7\times 8\\=336\:\rm units\\\end[/tex]

The four block has [tex]1\times1\times1[/tex] unit-cubes.

Calculate the area of 4 block.

[tex]\begin{aligned}{\rm Area\:of\:four\:block}&=4\times1\times1\times1\\&=4\\\end[/tex]

Now, calculate the number of block that can be placed,

[tex]\begin{aligend}{\rm Block\: placed\: in \:box}&=\dfrac {\rm Area\: of\: box}{\rm Area \:of\: Block}\\&=\dfrac{336}{4}\\&=84\\\end{aligned}[/tex]

Thus, the number of block that can be placed in block is 84.

Learn more about area here:

https://brainly.com/question/25632432

Answer:

sorry i dont know what the answer is

Step-by-step explanation:

Answer:111

Step-by-step explanation:

Answer: 111

Step-by-step explanation:

Answer:

Step-by-step explanation:

What does  ="as="shown.=">  mean?

No, his graph of s<-9 is incorrect. There should be an open circle at -9.

Answer:

sample response I would suggest rewording it

Step-by-step explanation:

No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.

Answer:

5 < x (number)

Step-by-step explanation:

Answer:

11.46

Step-by-step explanation:

Answer:

11.46

Step-by-step explanation:

0.07776 is the answer

approximately 0.01

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

Answer:

y=5^x

Step-by-step explanation:

5 to whatever power will always be larger than 4, 3, or 2.

For example:

3 squared = 9

5 squared = 25

4 squared = 16

2 squared = 4

25 is greater than 9, 16, and 4