Answer:
The right answer is :
(a) 23,200
(b) 24,514
(c) 22,926
Step-by-step explanation:
According to the question,
[tex]P_1 = 12000[/tex]
[tex]P_2 = 20000[/tex]
[tex]P_{sat}=80000[/tex]
(a)
We know that the arithmetic growth formula will be:
⇒ [tex]P=Pi+K\times t[/tex]...(1)
here,
⇒ [tex]K=\frac{P_2-P_1}{\Delta t}[/tex]
[tex]=\frac{20000-12000}{25}[/tex]
[tex]=\frac{80000}{25}[/tex]
[tex]=320[/tex]
On putting the values in equation (1), we get
⇒ [tex]P_{2020}=20000+320\times 10[/tex]
[tex]=23,200[/tex]
(b)
The geometric growth formula will be:
⇒ [tex]P=ln(Pi)+K\times t[/tex]
here,
⇒ [tex]K=\frac{lnP_2-lnP_1}{\Delta t}[/tex]
[tex]=\frac{ln(20000)-ln(12000)}{25}[/tex]
By putting the values of general log, we get
hence,
⇒ [tex]P_f=ln(20000)+0.0204\times 10[/tex]
[tex]=10.107[/tex]
[tex]P_{2020}=e^{10.107}[/tex]
[tex]=24,514[/tex]
(c)
⇒ [tex]P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}[/tex]
or,
⇒ [tex]K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )[/tex]
from here, we get
[tex]=0.005[/tex]
hence,
⇒ [tex]P_{2020}=80000-(80000-20000)e^{-0.005\times 10}[/tex]
[tex]=80000-(60000)e^{-0.005\times 10}[/tex]
[tex]=22,926[/tex]
Help please this is worth 50 percent
Answer:
Solution given:
Step-by-step explanation:
[tex]2 \frac{5}{6} \ + 1 \frac{2}{3} \\ \frac{17}{6} + \frac{5}{3} [/tex]
[tex] \frac{17 + 10}{6} [/tex]
[tex] \frac{27}{6} [/tex]
[tex] \frac{9}{2} [/tex]
[tex]4 \frac{1}{2} [/tex]
Option C is a required answer.
Convert the polar representation of this complex number into its rectangular
form:
z = 4(cos pi/2 + i sin pi/2)
Please help!!! I will mark brainliest!!! Thank you!!!
Answer: (0,4)
Step-by-step explanation:
The complex number z = 4 into its rectangular form
What is complex number?Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfying the equation i² = 1.
Given
* Lets revise the complex numbers
- If z = r(cos Ф ± i sin Ф), where r cos Ф is the real part and i r sin Ф is the imaginary part in the polar form
- The value of i = √(-1) ⇒ imaginary number
- Then z = a + bi , where a is the real part and bi is the imaginary part
in the rectangular form
∴ a = r cos Ф and b = r sin Ф
* Lets solve the problem
∵ z = r (cos Ф ± i sin Ф)
∵ z = 4 (cos π/2 + i sin π/2)
∴ The real part is 4 cos π/2
∴ The imaginary part is 4 sin π/2
- Lets find the values of cos π/2 and sin π/2
∵ The angle of measure π is on the positive part of x axis at the
point (0 , 4)
∵ x = cos π/2 and y = sin π/2
∴ cos π/2 = 0
∴ sin π/2 = 1
∴ a = 4(0) = 0
∴ b = 4(1) = 4
∴ z = 0 + i (4)
* The complex number z = (0,4) into its rectangular form
To learn more about complex numbers refer to:
https://brainly.com/question/12842137
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Which of the following is the value of x?
A. 2
B.11
C. 20
D. 29
Answer:
c
Step-by-step explanation:
180= 45+ (5x+35)
-45 -45
135 = 5x + 35
-35 -35
100 = 5x
/5 /5
x=20
Which golfer had the lowest number of strokes per hole?
please xplain and help with answers
Step-by-step explanation:
for mixed number to a improper fraction you take the whole number and times that by the denominator and add the numeriator
for example
[tex]8 \frac{3}{8} [/tex]
8 x 8 = 64
64 + 3 = 67
and after you get your last number (67) you put that over your original denominator which is 8 so it would be
[tex] \frac{67}{8} [/tex]
for the improper to mixed you see how many times you denominator goes into your numerator
another example is
[tex] \frac{13}{7} [/tex]
7 goes into 13 twice so your whole number is 2 and you have a remaining 1 so it would look like
[tex]2 \frac{1}{7} [/tex]
Answer:
A) 9/4
B) 67/8
C) 17/6
D) 9/2
E) 16/3
F) 127/12
G) 37/4
H) 41/6
Q) Whole Number: 1 Fraction: 6/7
R) Whole Number: 4 Fraction: 1/2
S) Whole Number: 1 Fraction: 8/9
T) Whole Number: 2 Fraction: 1/3
U) Whole Number: 2 Fraction: 3/7
V) Whole Number: 3 Fraction: 1/3
W) I am not 100% sure for this one but I think it's right.
Mixed Number - Whole Number: 1 Fraction: 5/8
Improper fraction - 13/8
Step-by-step explanation:
With improper fractions the first thing that you want to do is multiply the whole number with the denominator (the number on the bottom of the fraction), then add the numerator (the number on the top of the fraction). You also want to keep the denominator the same in both fractions.
When working with converting mixed fractions into improper fractions it is kind of the opposite, but it is a little harder to explain. Let's take letter Q as an example. If you know that you cannot divide the numerator and the denominator in anyway to make a whole number, the whole number will become a one and the numerator is how many are left. so in this case the answer for Q would be 1 6/7, 1 being the whole number and 6 from 6+7=13. now let's look at letter R, you know you can divide 2 four times into 9, the whole number will be 4 and the fraction will be 1/2, 4x2+1=9. You can also double check that you did it right by turning it back into a improper fraction from the mixed number state by multiplying the denominator with the whole number, then adding the numerator. Hope that made sense, send me a DM if you need more help!
Malcolm needs to buy 7 pizza slices for him and his brother Mitchell, and each cost $3.64. The pizza store is giving customers 20% off each slice. What is the total cost for the pizzas?
Answer: $5.096 or $5.10 (nearest cent)
Step-by-step explanation:
first u find 20%of one slice pizza
which is ²⁰/¹⁰⁰ × 3.64 = 0.728
then u multiply 0.728 by 7 = $5.096
What choice is the range of f(x)=√x-3-1
Answer:
its not loading
Step-by-step explanation:
I would like to thank the people that help out in the math area, I’ve fully passed my math classes that I needed to graduate because of the community on here, specifically the math section....and I’ll be giving out my points :)
Answer:
Awe
Step-by-step explanation:
Good luck and great hopes for your future ^^
Answer:
May you successed with top highest marks may you gain achivements!!!! Through out your life may, you be blessed and your parents must be proud of you .............Alot of thanks to brainly and good luck for your future......
Which exponential expressions are equivalent to the one below? Check all
that apply.
(4.8)15
O A. 415.815
O
B. 3215
O C. 415 + 815
D. (4.8)15
CAN SOMEONE PLEASE HELP ASAP!!
Answer:
42.9
Step-by-step explanation:
There are many ways to answer this one, the most direct way would be to state that tan(65)=a/20
20tan(65)=a
Using the calculator (set in degree mode)
we find that a ~ 42.9
Select the correct answer from the drop-down menu.
A number cube is biased to land on the number 3 about 50% of the time. It is rolled 42 times, and the outcomes are recorded. The least
likely result for the number cube to land on the number 3 is times.
Answer:
21 times
Step-by-step explanation:
Given
[tex]P(3) = 50 \%[/tex]
[tex]n =42[/tex]
Required
The least number of times to land on 3
This is calculated using:
[tex]Least = n * P(3)[/tex]
[tex]Least = 42 * 50\%[/tex]
[tex]Least = 21[/tex]
Answer:
21 times
Step-by-step explanation:
Correct on plato
If f(x)=2x^2+5 square root (x-2) what does f(3)=?
Answer:
f(3) = 23
Step-by-step explanation:
The rectangle and the square have the same area. Write down an
equation in terms of x and solve it.
Answer:
x² = (x-2) (x+3)
and
x = 6
Step-by-step explanation:
x² = (x-2) (x +3)
x² = x² + 3x - 2x - 6
x² = x² + x - 6
moving x² and -6 from LHS to RHS
x² - x² + 6= x
6 = x
x = 6
I need the answer fast pls
Answer:
C. 15
Step-by-step explanation:
You just need to add the number of dots, hoped this helped and was fast enough
A researcher was interested in how much Vitamin C adults had in their daily diets.
• The researcher surveyed 100 random adults.
• She made a box plot based on the amounts of Vitamin C in the diets of the 100 adults.
What percent of those in the survey get at least 90 milligrams of Vitamin C?
A. between 25% and 50%
B. between 50% and 75%
C. less than 25%
D. more than 75%
Using the box and whisker plot, it is found that the percent of those in the survey get at least 90 milligrams of Vitamin C is of:
A. between 25% and 50%.
What does a box and whisker plot shows?A box and whisker plot shows three things:
The 25th percentile, which is the median of the bottom 50%.The median.The 75th percentile, which is the median of the upper 50%.In this problem, we have that: P25 = 80, P50 = 85, P75 = 95.
Hence, 90 is between the median and the 75th percentile, which means that between 25% and 50% of those in the survey get at least 90 milligrams of Vitamin C, and option A is correct.
More can be learned about box and whisker plots at https://brainly.com/question/27608957
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The volume of a cylindrical container is 226 cubic centimeters. The height of the container is 8 centimeters. Find the
radius of the container. Round your answer to the nearest whole number.
The radius is about how many
centimeters?
Answer: 3cm
Step-by-step explanation:
The volume of a cylinder is calculated by using the formula:
Volume = πr²h
where,
π = 3.14
r = unknown
h = height = 8cm
Volume = πr²h
3.14 × r² × 8 = 226
25.12r² = 226
Divide both side by 25.12
r² = 226/25.12
r² = 8.9968
r² = 9 approximately
r = ✓9
r = 3
The radius is 3cm
Please help me solve this
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
PLEASE ANSWER __
WHAT IS LENGTH OF AB
Answer: 14 units
Step-by-step explanation:
Ashley started washing at 10:28 AM and finished at 10:41 AM.
How long did it take her? Give your answer in minutes.
Answer:
13 minutes
Step-by-step explanation:
The reason why it is 13 minutes is because you subtract 10:41 AM from 10:28 AM and you get 13 minutes.
Answer:
13
Step-by-step explanation:
41-28= 13
the hours don't change so you just need to subtract the minutes
plz answer this question without links and files :)
Answer:
The relationship between the y coordinates in table a and b is that they are parallel to each other on the graph.
Step-by-step explanation:
I have no idea what they are asking for I'm sorry
For the polyhedron, use Euler's Formula to find the missing number.
faces:
edges: 11
vertices: 6
The number of faces is
How much can a sphere hold with a radius of 18 inches wide express the answer in pie
Answer:
7776pi cubic inches
Step-by-step explanation:
What two numbers have a product of -36 and sum of -9
Answer:-12 and -25
Step-by-step explanation:
Answer: 3 and -12
Step-by-step explanation:
I used this
www.calculatorsoup.com/calculators/math/diamond-problem-solver.php
Is 1/5 and 3/10 eqivallant
Answer:
no
Step-by-step explanation:
Which properties could you use to solve the following expression?
3 + 7 + 2 + 5 + 9
A
commutative, distributive and associative
B
associative and commutative
C
distributive and associative
D
associative only
Answer:
associative only!!!!!!!!!!!!!
NEED THIS BY FRIDAY ! I HAVE MORE UNANSWERED QUESTIONS ON MY PAGE!!
Answer:
2, 3, 4 (up to down)
Step-by-step explanation:
Rational: can be terminating, repeating, in a fraction
Irrational: Not terminating (ending), doesn't repeat (o.33333....), and you can't put it in a fraction
Hope this helps!!
p.s. brainliest plz
what time is seven to eight
Mahad and Eren made 17 ounces of pizza dough. They used 5/8 of the dough to make a pizza and used the rest to make calzones.
What is the difference between the amount of dough they used to make pizza and the amount of dough they used to make calzones?
A) 6 3/8 ounces
B) 4 2/8 ounces
C) 10 5/8 ounces
D) 17 5/8 ounces
Explain how you know.
9514 1404 393
Answer:
B) 4 2/8 ounces
Step-by-step explanation:
After 5/8 of the dough was used for pizza, the remaining amount is ...
1 -5/8 = 3/8
The difference between the amounts is then ...
(5/8×17 oz) - (3/8×17 oz) = (5/8 -3/8)×17 oz = 2/8×17 oz = 34/8 oz
= 4 2/8 oz
A culture started with 5,000 bacteria. After 2 hours, it grew to 5,500 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places.
Answer:
8,056
Step-by-step explanation:
I took the application
15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63
Answer:
The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.
Step-by-step explanation:
This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)
T1 = 27
T2 = -3 = T1 - 30 = 27 - 30
T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)
T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)
In general, the nth term of this sequence:
S(n) = 27 - 30X(n-1)