Answer:
Population 15 years later P(15) = 100 + 50/π
Population 35 years later P(35) = 200 + 50/π
Population any t ≥ 0 P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)
Step-by-step explanation:
P´(t) = 5 + 10*sinπt/5 ⇒ dP/dt = 5 + 10*sinπt/5
dP = ( 5 + 10*sinπt/5 ) *dt
P(t) = ∫ ( 5 + 10*sinπt/5 ) dt
P(t) = 5*t + 10 * ∫ sinπ*t/5* dt
P(t) = 5*t - 10*5/π *cos πt/5 + k
To determine k t = 0 P(t) = 35
P(0) = 5*0 - 50/π (1) + k
35 = - 50/π + k
k = 35 + 50/π and
P(t) = 5*t + 10*cos(π*t/5) + 35 + 50/π
b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5) (1)
a) Population 15 years later
P(15) = 35 + 50/π + 5*15 - 10
P(15) = 100 + 50/π
Again from equation (1)
P(35) = 35 + 50 /π + 5*35 + 10*cos(35*π/5)
P(35) = 35 + 50/π + 175 + 10*cos (7*π )
P(35) = 210 + 50/π - 10
P(35) = 200 + 50/π
WILL MARK BRAINIEST PLEASE PLEASE HELP!!!
I will give brainiest for whoever answers my questions !!!
Answer:
24.4%
Step-by-step explanation:
Percent is calculated as
[tex]\frac{choice}{total}[/tex] × 100%
The choice here is alternative = 479 and total = 1960, then
percent = [tex]\frac{479}{1960}[/tex] × 100% ≈ 0.24438.... × 100% = 24.4% ( to 1 dec. place )
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
help!!!!!!!!!!!!!!!!! due in 15min
Answer:
5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When you put the i out in place for x you multiply so
4x9=36
7x9=63
2x9=18
9x9=81
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared
write an equivalent expression for the following using distributive property A(9b+13)
apply distributive property AKA (A • 9b)+(A • 13)
9Ab + 13A
I hope this helps :)
Which expression is equivalent to (−3)6(−3)4
6 and 4 are exponents
A. (−3)2
B. (−3)24
C. (−3)10
D. (−3)1.5
The numbers by the parenthesis are exponets
Answer:
the answer is C
Step-by-step explanation:
(-3)6 (-3)4 =(-3)6+4=(-3)10
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght
Answer:
Would it not be 20?
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.
the regular price of a bicycle is $120.the bicycle is on sale for 20% off.which expression is equal to the sale price,in dollars,of the bicycle
Answer:
96$, hope this helps! （＾⊆＾）
Step-by-step explanation:
120 x .20 = 24
120 -24 =$96
Using the quadratic formula, the solutions to a quadratic equation are given by (equation is in image)
Find the values of a, b and c
a =
b =
c =
Answer:
a = -3
b = 3
c = 4
Step-by-step explanation:
Let's do this the long way!
[tex]x = \frac{-3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}}{2 \times (-3)}\\-6x = -3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\-6x + 3 = \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\(-6x + 3)^2 = 3^2 - 4 \times (-3) \times 4\\36x^2 - 36x + 9 = 9 + 48\\36x^2 - 36x - 48 = 0\\3x^2 - 3x - 4 = 0[/tex]
So a = 3, b = -3, and c = -4
HOWEVER:
When you look at the terms in the solution originally given, the are all the negatives of what we see here. That however makes sense, as we can simply multiply both sides of the equation to get the results they used:
[tex]3x^2 - 3x - 4 = 0\\-1(3x^2 - 3x - 4) = -1(0)\\-3x^2 + 3x + 4 = 0[/tex]
Help I don’t get this at all and I need a answer fast
Answer:
3+x = y+6
Step-by-step explanation:
I hope this helps a little i have done algebra in a hot minute
Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.
Answer:
As an equation, (we'll use x as the variable), that word problem is 3x+7=31.
To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.
hi can you help me answer this?
Answer:
C.112
Step-by-step explanation:
What is an equivalent expression for 7(2x) +6(2y) -5(4x)-9(y)?
circle the staement below 1530 and 12530
Answer:
1530 < 12530
Step-by-step explanation:
i12530 is a bigger number than 1530
Answer:
what statement?
The scale drawing of the tennis court shown below is drawn using a scale of 1 inch (in.) = 12 feet (ft).
2.5 in.
4.25 in.
How long would the net have to be, in feet, to stretch from one side of the court to the other, as shown by the center line?
Answer:
Your answer would be D. 51
Step-by-step explanation:
Don't get mad if I am wrong. :)
how to solve this?/answer?
Answer:
there's no answer for that because ot doesn't make sense
1. What is an example of a quadratic function?
a. Determine the functions minimum or maximum value.
b. Determine the function domain and range.
c. Find the zeros of the function.
2. What is the quadratic formula?
a. When would you use this formula?
3. What is the discriminant?
a. Provide an example.
Answer:
Step-by-step explanation:
1. f(x)= x^2+10x+25
a) (-5,0)
c)x=-5
2. image attached
a) when finding the zeros or roots of the quadratic
3. the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots.
a) b^2-4ac
Graph and find the area of the figure with the vertices (-3, 0), (1, 4), (2, 0).
A = 20 Units^2
B = 10 Units^2
C = 12 Units^2
Answer:
B
Step-by-step explanation:
The points with these coordinates form a triangle with a side 5 units and height 4 units. It' area is equal to 5*4÷2=10units^2
There are 160 adults and 275 children at a zoo. The zoo makes a total of $5,470 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $
they will have 200$ each
Please help at least one please number it!!!
Answer:
34, 50
Step-by-step explanation:
An amount divide by 17: 34÷17=2
25 less than x: 50-25=25
Let E be the event that a randomly chosen person exercises. Let D be the event that a randomly chosen person is on a diet. Identify the answer which expresses the following with correct notation: Of all the people who exercise, the probability that a randomly chosen person is on a diet.
a) P(D) AND P(E)
b) P(E AND D)
c) P(E|D)
d) P(D|E)
Answer:
d) P(D|E)
Step-by-step explanation:
E = person exercises
D = person on a diet
Given the expression :
Of all the people who exercise, the probability that a randomly chosen person is on a diet.
This simply refers to a conditional probability whereby the subset from which the probability that a randomly chosen person is on diet is to be calculated is the subset of those who exercise.
In statistical parlance, the statement is expressed as ; the probability of A given B = P(A|B)
In this scenario, we say; the probability that a randomly chosen person is on a diet Given that the person exercise ; P(D|E)
Hence, the answer is D.
I will give brainiest to whoever answers correctly !!
Four vertices of a rectangle are A(−3, −5) , B(−1, −5) , C(−1, −1) , and D(−3, −1) . Use the Segment tool to draw the four sides of the rectangle.
Answer:
well, I don't have the computer in front me with this question on it, but i can explain how you would do it.
all points, or in this case vertices, are written like this : (x , y)
the x-axis is the one that lies flat and the y-axis is the one going up and down.
in this graph, the y-axis and x-axis are more than likely not centered. so where the y-axis intersects the x-axis is known as the origin. you will start at the origin for plotting all points.
to plot point A : start at the origin and count to the left 3, and then down 5 and thats point A
for point B : start at the origin, count left 1 and then down 5, that's point B
point C : start at the origin, count left 1 and then down 1, that's point C
point D : count left 3 and then down 1, that's point D
after plotting the points, you just need to play "connect the dots" and make the shape a rectangle.
Start at point A, go right point B, up to point C, left to point D then down back to point A again
Step-by-step explanation:
I hope this helps :)
Please I really need help on this one
Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft
Help plz:)))I’ll mark u Brainliest
Answer:
11, 21, 31
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
21,
11,
31
You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?
The state fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
students. Every van had the same number of students in it as did the buses. Find the number of students
in each van and in each bus.
Answer:
8 students in a van and 22 in a bus
Step-by-step explanation:
lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps