Answer:
3200
Step-by-step explanation:
Given that:
The initial population of birds [tex]N_0[/tex] = 100
The time duration t = 5 years
Growth rate (r) = (Birth - Death) rate
= 2 - 1
= 1 / year
∴
using the discrete-time form:
[tex]N_t = N_o (1 + r )^t[/tex]
[tex]N_t = 100 (1 + 1 )^5[/tex]
[tex]N_t = 100 (2 )^5[/tex]
[tex]N_t = 100 \times 32[/tex]
[tex]N_t = 3200[/tex]
Money Calculations:
Q1.
Edwin goes to a restaurant with some friends. Here are the meals they have:
2 fish and chips at £9.25 each
1 chicken and chips at £9.50
1 roast lamb at £10.55
4 puddings at £4.55 each.
Edwin pays for the meals with three £20 notes. How much change should Edwin
get?
Answer:
£3.25
Step-by-step explanation:
Hi there!
First, let’s add up how much they spent, which would be £56.75
If he paid with 3 £20 notes, he would have paid £60.
Now all we have to do is subtract 56.75 from 60, and we are left with
£3.25 in change.
Hope this helped!
Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece (y) is 2 ft less than 3 times the length of the shorter piece (x).
Choose the two equations that will create our system of equations for this story problem.
A) x - y = 18
B) y = 2 - 3x
C) x + y = 18
D) y = 3x - 2
Answer:
The required equations are:
C) x + y = 18
D) y = 3x - 2
Step-by-step explanation:
Let x be the length of shorter piece and y be the length of larger piece
It is given that the total length is 18 ft which gives us our first equation
[tex]x+y = 18[/tex]
Now it is also given that
"3 times the length of the shorter piece (x)"
[tex]3x[/tex]
"2 ft less than 3 times the length of the shorter piece (x)"
[tex]3x-2[/tex]
Second equation will be:
[tex]y = 3x-2[/tex]
Hence, the required equations are:
C) x + y = 18
D) y = 3x - 2
Determine whether the given point is the solution to the given system.
(-6, 6)
X + y = 0
x - y = -12
Yes
Ο Νο
what is the slope of the line y+5=2(x+1)
which system of equations has no solutions? please help will mark brainliest!!!
Answer:
top right
Step-by-step explanation:
parallel lines will never touch, therefore no solution
Answer:
i believe it is B!!!:)
Step-by-step explanation:
Graph the equation y= -4x+2
(За + 2b – 7) - (4) — 10)
Answer:=3a+2b−21
Step-by-step explanation:
Let's simplify step-by-step.
3a+2b−7−4−10
=3a+2b+−7+−4+−10
Combine Like Terms:
=3a+2b+−7+−4+−10
=(3a)+(2b)+(−7+−4+−10)
=3a+2b+−21
PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
simplify the variable expression below as much as possible 4x - 4y + 7 - 1
Answer:
4x - 4y + 6
Step-by-step explanation:
Answer: 4x - 4y + 6
Step-by-step explanation:
Me. Rodríguez bought stock valued at $139.00 per share and sold it for $231.67 what was the percent of profit? Round your answer to the nearest hundredth of a percent
Answer:
1.6669
Step-by-step explanation:
231.67/139=1.6669
What is the rule for the reflection?
Ix-axis(x, y) - (-x, y)
ly-axis(x, y) - (-x, y)
Ix-axis(x, y) - (x, y)
ly-axis (x, y) - (x, y)
It’s b
Use the drop-down menus to complete the proof of the Pythagorean Theorem using the
Click the arrows to choose an answer from each menu.
The combined area of the shaded triangles in Figure 1 is Choose
the combined
area of the shaded triangles in Figure 2 The area of the unshaded square in Figure 1 can be
represented by Choose... The combined area of the two unshaved squares in Figure
2 can be represented by Choose... The areas of the squares in Figure 1 and Fig3
2 show that Choose
Answer:
Step-by-step explanation:
Equal to
c^2
a^2+b^2
a^2+b^2=c^2
Answer and Step-by-step explanation:
Equal to
c^2
a^2+b^2
a^2+b^2=c^2
Help me with acellus
Answer: x=26
Step-by-step explanation:
4x+4+4x-32=180 degrees
8x+4-32=180 (add like terms)
8x-4+32= 8x=208
8x/208= x=26
Which of the polynomial equations cannot be solved using the quadratic formula?
Answer:
The polynomial equation that cannot be solved using the quadratic formula: Option2: [tex]x^2-2x^3-5=0[/tex]
Step-by-step explanation:
First of all we have to learn what a quadratic polynomial is.
A polynomial or equation of degree 2 is called a quadratic equation. Quadratic formula is used to solve quadratic equations.
The quadratic equation is of the form:
[tex]ax^2+bx+c = 0[/tex]
From the given options, only option 2 doesn't have degree 2 so it is not a quadratic polynomial.
Hence,
The polynomial equation that cannot be solved using the quadratic formula: Option2: [tex]x^2-2x^3-5=0[/tex]
Answer:
x^5 - 2x^3 - 5 = 0
Step-by-step explanation: Just did this problem and got it right.
PLEASE HELP. Mr. Washington made several purchases for his printing business. The mean price of the purchases was $150, and the mean absolute devlatlon was $30 . Based on this informaton, which statement must be true?
Answer:
the 4th statement
Step-by-step explanation:
1. We can express the square of any odd number as the sum of two consecutive positive
integers, for example 72 = 49 can be written as 49 = 24 + 25, write each of the followin
Squares of odd numbers, as a sum of two consecutive positive integers.
a. 169
b. 225
c. 289
d. 6561
Answer:
a) 169 = 13² = 84+85
b) 225 = 15² = 112+113
c) 289 = 17² = 144+ 145
d) 6561 = 81² = 3280+ 3281
Step-by-step explanation:
Explanation:-
a) Given 169 is an odd number
Squares of odd numbers, as a sum of two consecutive positive integers
169 = 13² = 84+85
b)
Given 225 is an odd number
Squares of odd numbers, as a sum of two consecutive positive integers
225 = 15² = 112+113
c)
Given 289 is an odd number
Squares of odd numbers, as a sum of two consecutive positive integers
289 = 17² = 144+ 145
d)
Given 6561 is an odd number
Squares of odd numbers, as a sum of two consecutive positive integers
6561 = 81² = 3280+ 3281
Here an easy question for points it’s a few but they easy
Answer: See explanation
Step-by-step explanation:
3.) 140 and its supplementary angle form a straight line, basically, they sum up to 180°. That angle is y
y + 140 = 180
Subtract both sides by 140
y = 40°
Seems both angles are congruent since they have the same label.
y + x + x = 180°
40 + 2x = 180
Subtract both sides by 40
2x = 140
Divide both sides by 2
x = 70°
4.) The missing angle = y
2x - 14 + 3x + 2 + y = 180
5x - 12 + y = 180
Subtract 5x from both sides
-12 + y = - 5x + 180
Add 12 to both sides
y = -5x + 180 + 12
y = -5x + 192
3x + 2 + 2x - 14 - 5x + 192 = 180
3x + 2x - 5x + 2 - 14 + 192 = 180
0 + 180 = 180
180 = 180
That's correct I guess.
5.) Missing angle = y
2x + 8 + 5x + y = 180
7x + 8 + y = 180
Subtract 7x from both sides
8 + y = -7x + 180
Subtract 8 from both sides
y = -7x + 180 - 8
y = -7x + 172
2x + 8 + 5x - 7x + 172
2x + 5x - 7x + 8 + 172 = 180
0 + 180 = 180
180 = 180
I.. think that's correct..?
6.) Missing angle = y
134 + y = 180
Subtract 134 from both sides
y = 46°
x + 46 + 22 = 180
x + 68 = 180
Subtract 68 from both sides
x = 112°
#4 and #5 were honestly sooo confusing. I just did whatever but I hope this is correct lol.
Answer:
Says your in college-
Step-by-step explanation:
How many subsets does the set D={c,a,t} have?
Answer:
There's a constraint in the question. A and B should be and G shouldn't be in the subset. Then A, B and G actually don't have any choices.
Step-by-step explanation:
If 4 units equal 12 inches, what is the value of 1 unit
Answer:
1 unit = 3 inches
Step-by-step explanation:
We are given that 4 units = 12 inches.
This can be rewritten as 4x = 12
Then to solve for x, you divide 4 on both sides
so x = 12/4
x = 3
Let me know if you have any questions
Answer:
3 inchesStep-by-step explanation:
4 units = 12 inches
1 unit = 12 ÷ 4 = 3 inches
Hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
ASAP!!!!!!!
Which statement is false?
-No integers are irrational numbers.
-All whole numbers are integers.
-No real numbers are irrational numbers.
-All integers greater than 0 are whole numbers.
Answer:
I think that it is ethier the last to bottom or second to bottom I hope this helps but I really feel like its one of them so just trust your gut!
Step-by-step explanation:
A surfboard manufacturer makes small and large surfboards. The production process has three stages: assembly, finish, and inspection. Each small surfboard requires 3 hours to assemble, 2 hours to finish, and 1 hour for inspection. Each large surfboard requires 4 hours to assemble, 3 hours to finish, and 1.5 hours for inspection. There are 140 hours available for assembly, 100 hours to finish, and 50 hours for inspection. The large surfboard makes $150 profit per board. The small surfboard makes $100 profit per board.Linear programming will be used to create the weekly production schedule.What would be a constraint for this problem if S
Answer:
z(max) = 5000
x₁ = 2
x₂ = 32
Step-by-step explanation:
Time Assemble Finish Inspection Profit
Small x₁ 3 2 1 100
Large x₂ 4 3 1,5 150
Availablity 140 100 50
Objective function:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
First constraint assembly capacity 140 hours
3*x₁ + 4*x₂ ≤ 140
Second constraint finishing capacity 100 hours
2*x₁ + 3*x₂ ≤ 100
Third constraint inspection capacity 50 hours
x₁ + 1,5*x₂ ≤ 50
Model:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
3*x₁ + 4*x₂ ≤ 140
2*x₁ + 3*x₂ ≤ 100
x₁ + 1,5*x₂ ≤ 50
General constraints x₁ ≥ 0 x₂ ≥ 0 and integers
With the use of AtomZmath.com (online solver)
After 6 iterations the solution is:
z(max) = 5000
x₁ = 2
x₂ = 32
math I need help learning decimals please help also need help with square ruote
Iram entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2
floors, down 5 floors and up 6 floors, where he got off. On what floor did Iram get off
the elevator?
Answer:
Step-by-step explanation:
10+3-7+2-5+6=9
jacob drove 8 miles east and then 15 miles north. how far is he from his starting point
Answer:
he is 23 miles northeast from this starting spot
Step-by-step explanation:
ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position
Congruent triangles are often used to create company logos. Why are they used and what are the properties that make them attractive
help please like right noww
Answer:
18
Step-by-step explanation:
half of 36 is 18
Answer:
18
Step-by-step explanation:
18 because the line on EO is half of 36
What is the zero? Please do not include spaces in your answer. Write your answers as a coordinate.
Answer:
(0,0)
Step-by-step explanation:
"Zero" refers to the x-intercept of the function. In this instance, the x-intercept of this function is (0,0).
Help with this question please
Answer:
That’s it’s so hard
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept.
slope: -3
y-intercept: -6
Answer:
y=-3x-6
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope (in this problem that is -3)
b is the y-intercept (in this problem that is -6)
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=-3x-6
help PLZZZ
What are the next three terms in the sequence 4096, 1024, 256, 64, ...?
16, 4, 0
16, 4, 1
32, 8, 4
32, 8, 2
The answer is B 16,4,1
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