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.
Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.
The statement which best describes the electric field around a positive charge is Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
The four options
Now,
This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.
Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
I need help once more (●'◡'●)
Answer:
3= 25 4= 20 25= 5
Step-by-step explanation:
its a pattern. the top goes up by ones and the bottom goes up by fives.
Can someone give me the answer asap
Answer:
https://brainly.in/...,..,
Answer:
38.4895cm²
Step-by-step explanation:
area of a circle with r=7
3.142×7² = 153.958
153.958/4 = 38.4895
72: 24 equivalent to?
3:1 is the answer
it is simplified
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
4. A surgical patient needs to have her liquid intake carefully monitored. How many mL of fluid did she consume if she
drankL of water, a pint of milk, and 8 oz of juice?
4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!!
is this the right answer?
Lacy is given a kite with one diagonal....please click photo to see the question
Answer:
the choice shown is correct. A reflection across diagonal BD.
Step-by-step explanation:
Answer:
your right, its A.
Step-by-step explanation:
An 180 rotation would result it with point C being below point A, not making it congruent. A translation is also not possible. A dilation would do nothing. A relfection on the other hand, would make both sides congruent.
Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
Which of the following is not true about the inverse of f (x) = = 3x+5
2
Answer Before defining the inverse of a function we need to have the right mental image of function.
Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.
Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.
Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.
g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.
This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.
f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.
Letting f-1 denote the inverse of f, we have just shown that g = f-1.
Definition:
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
then g is the inverse of f and f is the inverse of g.
Exercise 1:
Return to Contents
Finding Inverses
Example 1. First consider a simple example f(x) = 3x + 2.
The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.
There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.
Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.
The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.
Therefore, f-1(x) = (x - 2)/3.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f-1(x).
Example 2. f(x) = 6 - x/2
Step 1 y = 6 - x/2.
Step 2 x = 6 - y/2.
Step 3 x = 6 - y/2.
y/2 = 6 - x.
y = 12 - 2x.
Step 4 f-1(x) = 12 - 2x.
Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.
Example 3. f(x) = x3 + 2
This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)
Step 1 y = x3 + 2.
Step 2 x = y3 + 2.
Step 3 x - 2 = y3.
(x - 2)^(1/3) = y.
Step 4 f-1(x) = (x - 2)^(1/3).
Exercise 3:
Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer
Step-by-step explanation:
pls brain list
Roger made a table showing how he spent his time in one day. How many days
will go by before Rodger has slept the equivalent of one day. Explain how you found your answer!
Data:
work : 1/3 day
sleep : 3/8 day
meals: 1/8 day
computer : 1/6 day
PLSSS.... Answer must be whole #
Answer:
Roger will have to sleep 2.667 days.
Step-by-step explanation:
If Roger sleeps 3 / 8 of a day in one day.
Then for Roger to sleep the equivalent of one day he will have to sleep
=
Please someone help me ASAP
Answer:
A
Step-by-step explanation:
FV=PV(1+i)^t
2500(1+.03)^4
A
Answer:
A
Step-by-step explanation:
It is the only one that shows 3% = 0.03 which is correct.
What type of transformation transforms (a, b) to (-a, b)?
a reflection over the y-axis
a translation of 1 unit down
a reflection over the x-axis
a translation of 1 unit up
Answer:
A reflection over the y axis .
Step-by-step explanation:
Given : Transforms (a,b) to (-a,b).
To find : What type of transformation.
Solution : We have given
Parent function : (a,b) .
Transformed : (-a ,b).
Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).
Then we can say in transformation (a,b) →→→→ (-a,b).
Therefore, A reflection over the y axis
Step-by-step explanation:
plz brain list
Answer:
hes right i took the test
Step-by-step explanation:
1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+
Answer:
b(2,-2)
Step-by-step explanation:
x= 2 and y=-2
let me know if you want further eplanation
367589+667556755788654578645
Answer: 667556755788655000000
Step-by-step explanation: braniliest pls
Chester has a coupon for 1/10 off the price of a shirt. If a shirt originally costs $29.30, what discount would Chester receive from using his coupon?
A. $5.86
B. $0.34
C. $26.37
D. $2.93
Answer:
26.37
Step-by-step explanation:
you change 1/10 too 10 percent then you multiply that too 29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)
the graph of a system of linear equation is shown below
Answer:
B
Step-by-step explanation:
. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A
Answer:
b
Step-by-step explanation:
Add the fractions. Reduce the answer to lowest terms.
8\9+1/9
Answer:
1
Step-by-step explanation:
8 + 1 = 9/9
- -
9. 9
a dog walks 696 steps in 12 minutes. how many steps in 12 minutes
Answer:
696 steps
Step-by-step explanation:
The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
What is the rate of change? What does it mean in the context of the problem?
What is the y-intercept? What does it represent in the context of the problem?
Answer:
Step-by-step explanation:
Use the Distributive Property to determine which of the following statements is equivalent to 5(6 – 2).
During the months of August and September the total rainfall I August was 0.6 inch more than the amount f rainfall in September, how much rain fell in each month?
Answer:
August = 3.4
September = 2.8
Step-by-step explanation:
Given
[tex]Total = 6.2\ in[/tex]
Represent August with A and September with S.
So,
[tex]A =S + 0.6[/tex]
Required
Amount of rainfall in each month.
This is calculated using:
[tex]Total = August + September[/tex]
[tex]6.2= A + S[/tex]
Recall that: A = S + 0.6. Substitute
[tex]6.2= S + 0.6 + S[/tex]
[tex]6.2= 2S + 0.6[/tex]
Collect Like Terms
[tex]2S = 6.2 - 0.6[/tex]
[tex]2S =5.6[/tex]
Solve for S
[tex]S = 5.6/2[/tex]
[tex]S = 2.8[/tex]
Substitute 2.8 for S in [tex]A =S + 0.6[/tex]
[tex]A = 2.8 + 0.6[/tex]
[tex]A = 3.4[/tex]
what is the volume of a sphere with a radius of 16 cm use 3.14
Answer:
volume is 17157.28 :)
Step-by-step explanation:
If you monthly salary is 5,167 and 28% is withheld for taxes and social security. How much money will be withheld from your check?
Answer:
jjjjjjj
Step-by-step explanation:
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