Given :
The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex] ...1)
To Find :
Find the number of fish is the pond in 2014.
Solution :
Number of years, t = 2014 - 2001 = 13.
Putting value of t in equation 1), we get :
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]
p(t) ≈ 486
Therefore, number of fish in the pond in 2014 is 486.
Hence, this is the required solution.
Enter the number of terms in the expression 7h - 3
Answer:
There are 2 terms in the given expression.
Step-by-step explanation:
A term is a simple math expression.
In the expression given, there are two terms: '7h' and '3'.
'7h' - '3'
Hope this helps.
isolate the variable on the following problem. show your work.
-2=-4+x
Answer:
x=2
Step-by-step explanation:
Add 4 to both sides:
-2=-4+x
-2+4=-4+4+x
2=x
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
First we must add 4 to both sides.
[tex]-2 = -4 + x[/tex]
+4 +4
-4 + 4 = 0
-2 +4 = 2
Isolating a variable means that it is alone on its side of the eqation.
[tex]2 = x[/tex]
x is now isolated and we also have the solution for it.
[tex]x = 2[/tex]
The expression below can be written in simplest form as
4(2x-5)+7(x+2)
4(2x-5)+7(x+2)
bracket means multiplying
do 4(2x+5) first
4*2x=8x
4*-5=-20
7*x=7x
7*2=14
8x-20+7x+14
do the x first
8x+7x=15x
-20+14=-6
answers: 15x-6 or -6+15x
Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater mass be?
Answer:
Ants and by roughly 118,615,000mg greater.
Step-by-step explanation:
According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.
Flies: 3,990,000 * 11.5mg = 45,885,000mg
Ants: 47,000,000 * 3.5mg = 164,500,000mg
Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately
164,500,000 - 45,885,000= 118,615,000mg greater
The ants and by roughly 118,615,000mg greater.
We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass
What is the approximate total weight?A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.
Therfore we can write it as,
Flies: 3,990,000 × 11.5mg = 45,885,000mg
Therefore we get the files mass 45885000mg
For Ants,
47,000,000 * 3.5mg = 164,500,000mg
Therefore, based on this calculation we clear that the 47 million ants will have a greater mass and this mass would be approximately
164,500,000 - 45,885,000= 118,615,000mg greater
To learn more about the mass visit:
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i need help with 2-51. PLEASEE AND TYYY
Answer:
R-{-5}
Step-by-step explanation:
you get the vertex by making the denominator =0
ex.z+5=0 ,z=-5
then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0
so the vertex would be (-5,0)
the domain =R-{-5} , range=R-{0}
Factor the expression.
18a + 16
Answer: 2(9a + 8)
Step-by-step explanation:
2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.
I think of a number, multiply it by 5 and subtract 3 from the result
Answer:
Do you need the result of the end?
Step-by-step explanation:
5*3=15
15-3=12
I need someone to check my work..
Is this labeled right?? If not, please help me on what has to be changed. Ty! This is timed! I’ll give brainliest to whoever answers first :)
HELP ME ASAP PLEASSSSE?!?!
What is the measure of A?
Answer:
D. 50
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
180-130=50
>
X
1. Explain why the slope of line a is
6
13
12
11
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Simplify each of the following expressions.
*Remember: The minus sign between the brackets means the sign inside the brackets changes to the
opposite of what is was, + to — or — to +
a) (5x + 4) – (x – 2) b) (6 – 3x) + (x – 5x)
c) (4x + 5) – (3x – 2) – 6 d) 9x + 5 – 7x
Answer:
a) [tex]-5x^{2}[/tex] + 6x + 8
b) 6 - 7x
c) [tex]-12x^{2}[/tex] - 7x +4
d) 2x + 5
Step-by-step explanation:
a) (5x + 4) – (x – 2)
(5x + 4) (-x + 2)
[tex]-5x^{2}[/tex] + 10x - 4x + 8
[tex]-5x^{2}[/tex] + 6x + 8
b) (6 – 3x) + (x – 5x)
6 – 3x + x – 5x
6 - 7x
c) (4x + 5) – (3x – 2) – 6
(4x + 5) (–3x + 2) – 6
[tex]-12x^{2}[/tex] + 8x -15x + 10 -6
[tex]-12x^{2}[/tex] - 7x +4
d) 9x + 5 – 7x
2x + 5
hope this helps!
What is the slope? 3 or 1/3 or -1/3 or -3
find the HCF of the following by
Pime factorisation.
a) 72,54,27
b) 24, 16, 36
Answer:
a) 9
b) 4
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
a.9
b.4
Step-by-step explanation:
Hope it helps u....
Elijah bought 334 pounds of ground hamburger meat for $11.00. Enter the price per pound of the ground hamburger meat. Round your answer to the nearest cent, if necessary. $
Answer:
Step-by-step explanation:
11/334 pounds= roughly 0.329 a pound or 0.33
Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5
Answer:
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x subtract x both sides
8x+9=25 subtract 9 both sides
8x=16 divide by 8
x=2
The measure of ZBCD is 120°. The measure of ABC is 85°
What is measure of ZBAC? Enter your answer in the box.
Answer: the answer is 35. Are you in k12?
If the total surface area of a solid hemisphere is 462 cm2, find its volume.
Answer:
Step-by-step explanation:
here
total surface area(TSA)= 462 cm²
TSA=3πr²
462 = 3*22/7*r²
462*7=66r²
3,234=66r²
3,234/66=r²
49=r²
√(49=r
r=7
therefore the radia of the hemisphere is 7
now,
volume of hemisphere(V) = (2/3)πr²
V=(2/3)*(22/7)*7²
V=44*7
V=308
Answer:
radius is 7cmStep-by-step explanation:v=2/3piercube
=2/3×22/7×7×7×7
=2156/3
=718.67cmcube
Explain how to find the GCF of 12 and 18.
Answer:
6
Step-by-step explanation:
To find the greatest common factor of two numbers you find the largest number that can evenly go into both numbers
For example, the greatest number that can even;y go into 12 and 18 is 6
6 x 2 = 12
6 x 3 = 18
There is no number greater than six that can evenly go into both of those numbers therefore it must be the GCF
Answer:
The GCF of 12 and 18 is 6 and here's how you get it...
Step-by-step explanation:
First, you need to compare the factors of 12 and 18.
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
To get the factors of the number, look for want numbers can be divided by that number and still get a whole number. Ex. (12 / 3 = 4) 3 is a factor of 12.
The GREATEST common factor you see they have in common is the GCF.
If this helps, please give me brainliest.
A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours
starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700
(Type an integer or a simplified fraction)
Answer:
337.5 mg
Step-by-step explanation:
A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours
Hence: the number of doses or times the antibiotic would be administered =
48 hours/6 hours = 8 doses(times)
The amount of antibiotic that should be given in each dose is:
48 hours = 2700 mg
6 hours = x mg
Cross Multiply
48x = 2700 mg × 6 hours
x = 2700mg × 6/48
x = 2700/8
x = 337.5 mg
Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. Estimate the amount of change the cashier should give Allie.
Answer:
It would be about $9
Step-by-step explanation:
you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9
The required amount that the cashier returned to Allie is 7.20.
Given that,
Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20
Thus, the required amount that the cashier returned to Allie is 7.20.
Learn more about arithmetic here:
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I need help solving and checking the answer before my test tomorrow. ♀️im gonna fail so if you know anything please solve it and show how to check the answer
Step-by-step explanation:
-3+5=-10
−3x+5−5=−10−5
−3x=−15
−3x÷−3=−15÷-3
x=5
(-2 4/5)(1 4/5)
=-14/5×19/5
=-14×9/5×5
=-126/25
=-5 1/25
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
Question 3 Solving:
your equation is -3x + 5 = -10
subtract 5 from both sides to get the term with x alone: -3x = -15
divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5
To check:
plug in 5 to x and see if you get -10 on both sides
-3(5) + 5 = -10
first multiply -3 and 5:
-15 + 5 = -10
then add 5 to -15:
-10 = -10
if the number are equal then you solved the equation correctly
Question 4:
multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)
so multiply 2 and 5 to get 10, then add 4 to get 14
your new fraction is -14/5
practice doing the same thing to the other mixed fraction
you should get a new fraction of 9/5
multiply the numerators and denominators
so multiply -14 and 9, and multiply 5 and 5
you now have -126/25
divide 126 by 25 to get your whole number of the mixed fraction
you should have -5 ?/25
to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction
126-125 = 1
now you have an answer of -5 1/25
5 Which process is necessary for the formation of igneous rock?
A. Erosion
B. Deposition
C. Solicitation
D. Metamorphism
Answer:
ANSWER IS ........... C
Step-by-step explanation:
5x-3(x-2)=4
This is for Algebra 1
Answer:
5x-3(x-2)=4
5x-3x+6=4
2x+6=4
2x= 4-6
2x= -2
x = -1
If x° is the exterior angle and 50°and 60° are its opposite interior angle of a triangle, find x°.
9514 1404 393
Answer:
110°
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles:
x° = 50° + 60°
x° = 110°
Answer:
x = 90
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
x = ∠ A + ∠ B = 30 + 60 = 90
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4640 seats. The students filled 85% of the seats in the theater. How many 6th graders went on the trip?
Answer
3944
explaination:
multiply 4640 by 85%, you get 394400. next add n with one hundred. now divide 394400 by 100 and you get 3944. enjoy :)
⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️
THIS IS MY LAST ONE HELP
Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
(Riddle #1 ) BRAINLIEST! I hope you are all having a wonderful day and Happy Thanksgiving (if you celebrate thanksgiving)! I will be asking some riddles, if your answer if correct I will mark your answer as brainsliest :D Please don't Google or search up any of the riddles, I want everyone to have a fair chance to win the brainliest, thank you.
Riddle #1
What will happen if an unstopable force meets an immovable object?
Answer:
The "paradox" is flawed because if there exists an unstoppable force, it follows logically that there cannot be any such thing as an immovable object and vice versa.
Step-by-step explanation:
:>
Answer:
nothing happens
Step-by-step explanation:
probably incorrect :0
Each fall, a horse ranch gives wagon rides. Tickets for adults are $10 each, and tickets for children are $6 each. No more than 25 people can fit on the wagon, and the ranch owners have a goal earning a minimum of $200 on each ride.
The system of inequalities that represents this situation is graphed below, where x represents the number of adults and y represents the number of children on the wagon ride.
X+y<_ 25
20x+ 6y_> 200
A. (19,6)
B. (17.5,5)
C. (10,15)
D. (30,-10)
Answer:
the equations are off
Step-by-step explanation:
x represents adults cost 10 not 20
y childen at g
x+y less than 25 people
10(x) + 6(y) greater than 200 dollars
Answer:
19,6
Step-by-step explanation:
⚠️WILL GIVE BRAINLIEST⚠️
Answer:
The answer is D
Step-by-step explanation:
I solved this with graphing and got d trust me
pls mark brainliest