Answer:
P=36pi
A=3324pi
Step-by-step explanation:
36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?
if it is then it is 36 pi
Area will be 18^2 pi which is 324 pi
A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?
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.
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?
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
Choose >, <, or = to compare each pair of numbers
0.842 _____ 0.824
Answer:
>
Step-by-step explanation:
Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!
There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?
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
how do you solve the following problem with a rectangular fraction model
Answer:
1/3 - 1/4 = 1/12Step-by-step explanation:
Sol answered 49 questions correctly on a 63 question test.
Answer:
0.7
Step-by-step explanation:
49 out of 63 so it is 49/63 which is 0.7777 inf
Need help. Please and thank u
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
if the circumfrence of a circle is 12pi cm. what is the area of the circle.
Answer:
11.46
Step-by-step explanation:
Answer:
11.46
Step-by-step explanation:
Find the sum of x + 0 and the opposite of 20
Write an expression showing 5 less than the number
Answer:
5 < x (number)
Step-by-step explanation:
PLS I NEED HELP! Which graph grows the fastest as x gets larger?
A. y = 3^x
B. y = 5^x
C. y = 4^x
D. y = 2^x
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
A moving truck states that it holds 300 cubic feet of boxes. The truck is 25feet in length and 8 ft in height. What is the width of the moving truck
Answer:
77
Step-by-step explanation:
Answer:
25x8xW=300
We=300/25x8
W=1.5 feet
5/6 - 1/2 = ?
A. 1/4
B. 1/3
C. 3/4
D. 2/3
John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute
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
In AOPQ, q = 18 cm, o = 96 cm and ZP=142°. Find the length of p, to the nearest
centimeter.
Answer:111
Step-by-step explanation:
Answer: 111
Step-by-step explanation:
Um ônibus escola pode transporta ete 32 alunos quantos ônibus iguais são necessários para transportar 1 120 alunos
Answer:
sorry i dont know what the answer is
Step-by-step explanation:
Solve for
x
7
(
x
−
2
)
<
2
x
+
3
Give your answer as an improper fraction in its simplest form.
The distance between point A and point B is 2 1/2 units. Which number could represent point B?
A)-30. B)2.5. C)-2.0. D)3.5
Mr. Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much paint he will need to buy. The wall is 24 feet wide and 12 feet tall. What is the area of the garage wall?
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:
I NEED HELP!!!!!!!!!!!
Answer:
50-3 x 12 - 9
Step-by-step explanation:
HELP me with this pls
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 it fast please
0.07776 is the answer
approximately 0.01
how minutes is in a clock
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?
Explain answer !
Will give brainlst
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
Jude graphed the inequality s < -9,="" as="" shown.="">
A number line going from negative 12 to negative 4. A closed circle is at negative 9. Everything to the left of the circle is shaded.
Is his graph correct? Explain why or why not.
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.
I keep getting the wrong answer. Please help! My answer -2/25h5q3
Answer:
You've got it right. Unless its because the answer is negative.
Step-by-step explanation:
i'm sorry, hope this helps
What is the y-intercept of the following equation? y=2x+5
The regular price of a bicycle was $330.00. The bicycle went on sale for 25% off the regular price. What was the sale price of the bicycle?
It's do in 20 min!!!
Answer:
$247.50
Step-by-step explanation:
330 decrease 25% =
330 × (1 - 25%) = 330 × (1 - 0.25) = 247.5
What is:
1. 50% of 6 =
2. 50% of 10 =
3. 50% of 8 =
4. 50% of 16 =
5. 50% of 22 =
6. 50% of 30 =
7. 25% of 8 =
8. 25% of 12 =
9. 25% of 20 =
13. 10% of 20 =
14. 10% of 40 =
15. 10% of 35 =
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
Choose the correct simplification of (9xy^5)^2.
A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10
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