Answer:Let 2n + 4 = the third consecutive even number. Therefore, the three consecutive even numbers whose sum is 96 are indeed 30, 32, and 34.
Step-by-step explanation:
Answer:
The first consecutive integer = - 33
The second consecutive integer = - 32
The third consecutive integer = - 31
Step-by-step explanation:
So since the three numbers are consecutive we can make the following equation. If we let "n: be the value of the first consecutive integer, the value of the second consecutive integer would be "n + 1" and the value of the third one would be "n + 2". So the equation we can write is...
n + (n + 1) + (n + 2) = - 96
3n + 3 = - 96
3n = - 99
n = - 33
Therefor:
The first consecutive integer = n = - 33
The second consecutive integer = n + 1 = - 33 + 1 = - 32
The third consecutive integer = n + 2 = - 33 + 2 = - 31
g Suppose that the populationy(t)of a certain kind of fish is given by the logistic modely′= 3y−2y2(a) Solve the Bernoulli equation. (Must be done using Bernoulli’s Equation method)(b) Suppose fish are added to the pond at a constant rate of 2 (Basically add 2 to your equation).Set up the Riccati equation, find a particular solution by inspection (it should be obvious if youlook for a constantyfunction), and then solve the equation.
Answer:
y = [tex]\frac{3}{2 + 3Ce^{-3t} }[/tex]
Step-by-step explanation:
As given , y' = 3y - 2y²
⇒y' - 3y = -2y²
Divide by y² in the above equation
⇒[tex]\frac{y'}{y^{2} } - \frac{3y}{y^{2} } = -\frac{2y^{2} }{y^{2} }[/tex]
⇒[tex]\frac{y'}{y^{2} } - \frac{3}{y } = -2[/tex] ........(1)
Now , let [tex]\frac{1}{y}[/tex] = u
⇒-[tex]\frac{1}{y^{2} } \frac{dy}{dt} = \frac{du}{dt}[/tex]
⇒-[tex]\frac{1}{y^{2} }y' = \frac{du}{dt}[/tex]
∴ equation (1) becomes
-[tex]\frac{du}{dt}[/tex] - 3u = -2
⇒[tex]\frac{du}{dt}[/tex] + 3u = 2
It is a linear differential equation
Now,
Integrating factor = I.F = [tex]e^{\int\limits {3} \, dt }[/tex] = [tex]e^{3t}[/tex]
∴ The solution becomes
u.(I.F) = [tex]\int\limits {2.(I.F)} \, dt[/tex] + C
⇒u.([tex]e^{3t}[/tex]) = [tex]\int\limits {2.(e^{3t} )} \, dt[/tex] + C
⇒u.([tex]e^{3t}[/tex]) = [tex]\frac{2e^{3t} }{3}[/tex] + C
⇒u = [tex]\frac{2}{3} + Ce^{-3t}[/tex]
As [tex]\frac{1}{y}[/tex] = u
⇒[tex]\frac{1}{y}[/tex] = [tex]\frac{2}{3} + Ce^{-3t}[/tex]
⇒ y = [tex]\frac{1}{\frac{2}{3} + Ce^{-3t} } = \frac{3}{2 + 3Ce^{-3t} }[/tex]
⇒ y = [tex]\frac{3}{2 + 3Ce^{-3t} }[/tex]
please help braineist
Answer:
44
Step-by-step explanation:
5x8=40+4=44
Carlos has 38 apples.He puts 8 into each bag.If he fills many bags as possible ,how many apples are left?
answer choices:
6
5
4
2
25 + y = 42 PLZ I BEG YOU TO HELP ME I HAVE TO DO IT IN 4 MINS PLZ PLZ PLZ
Answer:
17
Step-by-step explanation:
Brooke gets 6 heads when flipping a weighted coin 8 times. Based on experimental probability, how many of the next 20 flips should Brooke expect to come up heads?
? heads
10 I would say
Unless 18 one of those
Choose all the factors of 12. (Check all that apply.)
1
5
8
7
6
3
12
11
4
2
10
9
Are all even numbers composite?
Yes or no
Answer:All even number except 2 are composite numbers. 4 is the smallest composite number. step-by-step explanation:
Simplify 24÷⌈32÷(8−5)⌉−(−6)
A bus comes by every 12 minutes. The times from when a person arrives at the bus stop until the bus arrives follows a uniform distribution from 0 to 12 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.
a) What is the mean of this distribution?
b) What is the standard deviation?
c) What is the probability that the person will wait more than 5 minutes?
d) Suppose that the person has already been waiting for 2.8 minutes. Find the probability that the person's total waiting time will be between 3.4 and 5.7 minutes.
e) 10% of all customers wait at least how long for the train?
Answer:
a. The mean of uniform distribution is (a+b)/2, where a and b are limits of the uniform distribution. So, mean is (0+12)/2 = 6 minutes
b. Standard deviation is (a-b)^2/12 = (0-12)^2/12 = (-12^2)/12 = 144/12 = 12
c. Prob (Wait for more than 5 min) = (12-5)/(12-0) = 7/12 = 0.5833
d. So, given he has waited for 2.8 minutes, what is prob that he will wait between 3.4 and 5.7 minutes
= (5.7 - 3.4) / ((12-2.8) - 0)
= (5.7 - 3.4) / (9.2 - 0)
= 2.3/9.2
= 0.25
e. 10% of all customers wait at least how long for the train?
10% of all customers wait for?
Since its a uniform distribution, people are uniformly spread. So, the 10% of people will be in the top 10% percentile group of waiting time which essentially means:
0.10 = (12-b)/(12-0)
0.10 = (12-b)/12
1.2 = 12 - b
b = 12 - 1.2
b = 10.8 minutes
So, 10% of all customers wait for at least 10.8 minutes for the train.
PLEASSSSSSSSEEE SOMEONE HELP What value is equivalent to 34−23⋅(5−2)−60?
Answer:
-27
Step-by-step explanation:
Just solve the equation by subtracting 34-23= 11, then multiply 11 by 3, which is what you get from subtracting 5-2= 3. Finally, subtract 33-60= -27.
Find the inequality represented by the graph.
Answer:
y > 4x - 2
Step-by-step explanation:
y-intercept is at -2
slope is rise by 4, run by 1
if you don't know where to shade, select a point and plug it in to see if T or F
example (0, 0)
is 0 > 4(0) - 2
is 0 > -2 True, so shade to the left because this is where (0,0) is
Answer:
Step-by-step explanation:
Analyze what each part of the inequality means mathematically.x is the solution of the problem, the quantity you are looking for.6x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 6.− 18 means that, for a reason given in the problem, 18 is subtracted from 6x.≤ 18 means that after multiplying the solution x by 6 and subtracting 18 from it, the result is at most 18.Think of some different situations in which a quantity x might be multiplied by 6.You plant 6 seeds from x different seed packets, and you want to know from how many different seed packets you plants seeds.Build on the situation and adjust it to create a verbal description that takes all of the information of the inequality into account.Elrich planted 6 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 18 plants that were already in the garden. Including the plants he removed and the seeds he planted, he expected to have at most 18 plants in the garden. From how many different seed packets did Elrich recently plant seeds?
y=8x^2 linear or non linear
Answer:
Non Linear
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.
need help will give extra points! and brainly thing
Answer:
I think c tell if wrong ok
Answer:
They are continuous relations
solve for x x+1/8=8
x=
Answer:
x=63/8
The decimal form is: x=7.875
Pythagorean Theorem: word problem:
Anita is admiring a statute in Morristown Park. The statute is 16 feet taller than she is, and Anita is standing 12 feet away. How far is it from the top of the statute to Anita's head? in feet
Answer:
20 Feet away
sqrt((a*a)+(b*b))
what is 6 1/3-5 2/3 plz answer quick
solving for JL. And I'm using pythagorean theorem. If possible I would like an explanation.
Answer: 21.4
Step-by-step explanation:
13² + 17² = C²
169 + 289 = C²
458 = C²
√458 = C
C = 21.4
A boy purchased (bought) a party-length sandwich 55 in. long. He wants to cut it into three pieces so that the middle piece is 5 in. longer than the shortest piece and the shortest piece is 8 in. shorter than the longest piece. How long should the three pieces be?
Shortest piece has a length of _____ in.
Middle piece has a length of ___ in
Longest piece has a length of ____ in.
Answer:
the shortest piece has a length of 8 in, the middle piece would have a length of 60 longest would be 63
Step-by-step explanation:
looked it up on Chegg it was already asked and answered by a expert tutor
1/2(n-5)=1/2(23-5) I cannot find what’s half of 23-5
Answer:
n = 23
Step-by-step explanation:
if 1/2 (n-5) = 1/2 (23-5)
that must mean that n=23.
and if you are just looking for 1/2 of 23-5 that is just 9. (23-5) = 18 and half of 18 is 9
• Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.
• Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute.
Part
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water?
Answer: In 20 minutes, tanks A and B will each have 120 gallons remaining in them.
Step-by-step explanation:
The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.
220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.
220-180 -5m +5m = 180-180 +5m - 3m Combine like terms
40 = 2m Divide both sides by 2
20 = m
Check: Substitute 20 for m in the equation
220 - 5(20) = 180 - 3(20)
220 - 100 = 180 -60
120 = 120 True!
A B C or D? because I'm not understanding
Answer:
b, 46 feet..?
Step-by-step explanation:
im not exactly sure either, maybe try b..?
its an estimate, but i hope this helped! <3
Let f(x) = 2x + 2 and g(x) = 5x2 + 2x.
After simplifying,
(f + g) (x)
Work Shown:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = ( f(x) ) + ( g(x) )
(f + g)(x) = (2x+2) + (5x^2+2x)
(f + g)(x) = 2x+2 + 5x^2 + 2x
(f + g)(x) = 5x^2 + (2x+2x) + 2
(f + g)(x) = 5x^2 + 4x + 2
Which of these is equal to 35 (8 – 3)?
A. (35 + 8) – (35 + 3)
B. (35 × 8 ) + (35 × 3)
C. (35 × 8) – (35 × 3)
D. (35 × 11)
Answer:
C.(35×8)-(35×3)
Step-by-step explanation:
35(8-3)
35×8-35×3
280-105
175
(35×8)-(35×3)
(280)-(105)
175
if it's helpful ❤❤❤
THANK YOU
Answer:
(35×8)-(35×3)
Step-by-step explanation:
Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
learn more on expression here: https://brainly.com/question/111385
#SPJ6
solve the inequality and graph the solution on the line provided. 3x-15>-21
Answer: x>-2
Step-by-step explanation:
Answer: x<−2
Step-by-step explanation:
3x-15>-21
3x<15-21
3x<-6
3x/3<-6/3
x<-2
The answer is x<-2
Hope it helps
A basketball game is 40 minutes long. Carter plays
5
8
of a basketball game. To calculate how many minutes Carter played, find an equivalent fraction to
5
8
with a denominator of 40. Select the correct calculation.
A.
5
×
8
8
×
8
=
40
64
; 64 minutes
B.
5
×
8
8
×
5
=
40
40
; 40 minutes
C.
5
×
5
8
×
5
=
25
40
; 25 minutes
D.
5
×
4
8
×
5
=
20
40
; 20 minutes
Answer:
B.
Step-by-step explanation:
If you want the denominator to be 40, you need a multiple which can make 40, just do 40 ÷ 8 = 5.
Answer:
C. 25 minutes
Step-by-step explanation:
[tex]\frac{5}{8} * \frac{5}{5} = \frac{25}{40}[/tex]
You can multiply the top and bottom both by 5
ANYONE PLEASE HELP SHOW WORK PLEASE THIS IS DUE IN ONE HOUR‼️‼️‼️
Equation 1: 3y = 2x + 12
Slope: 2/3
X-Intercept: -6
Y-Intercept: 4
Equation 2: 2y - 4x = 12
Slope: 2
X-Intercept: -3
Y-Intercept: 6
Equation 3: 8y - 8 = 4x
Slope: 1/2
X-Intercept: -2
Y-Intercept: 1
Equation 4: 9y + 6x = -72
Slope: -2/3
X-Intercept: -12
Y-Intercept: -8
Equation 5: 4y = -8x + 32
Slope: -2
X-Intercept: 4
Y-Intercept: 8
Here is a graph showing all of the information and the simplified work:
Red line = equation 1
Blue line = equation 2
Green line = equation 3
Purple line = equation 4
Orange line = equation 5
Select the statement that best justifies the conclusion based on the given information.
Ifx+5 = 15, then x=10.
O addition property of equality
O subtraction property of equality
multiplication property of equality
O substitution
Answer:
B.
Subtraction property of equality.
select the expression that is NOT equivalent to 35p+25
A 5(5+3p+4p)
B 5(15p+5+20p)
C 5(5+7p)
D 5(4p+3p+5)
1. Segment A'B' is parallel to segment AB. What is the length of segment BB'?
B
B
7
с
5
6
A
A
3
A. 3.5
B. 4
C. 10
D. 10.5
Answer:
A. 3.5
Step-by-step explanation:
Given that AB is parallel to A'B', therefore,
CB/CB' = CA/CA'
CB' = 7
CB = CB' + BB' = 7 + BB'
CA' = 6
CA = CA' + AA' = 6 + 3 = 9
Plug in the values
(7 + BB')/7 = 9/6
(7 + BB')/7 = 3/2
Cross multiply
2(7 + BB') = 7(3)
14 + 2BB' = 21
Subtract 14 from both sides
2BB' = 21 - 14
2BB' = 7
Divide both sides by 2
BB' = 7/2
BB' = 3.5
