Answer:
I love pizza math :P
Step-by-step explanation:
column 1 column 2
2/3 2/5
1/4 3/4
1/3 4/5
1/2 1/6
Is it time for pizza now? :P
What best describes fraction
Answer:
a numerical quantity that is not a whole number
Step-by-step explanation:
# 20. Mark needs to wash the windows on the second floor of a building. He knows the
windows are 12 feet above the ground. Because of dense shrubbery, he has to put the
base of the ladder 5 feet from the building. What ladder length does he need?
Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.
What is length?Length is a measurement of distance or space from one point to another. It is typically measured in units such as meters, feet, or inches. Length is a scalar quantity, meaning it has magnitude but no direction. Length is a fundamental property of physical objects and can be used to measure the size of an object or the distance between two points.
To properly calculate the ladder length Mark needs, we must use the Pythagorean Theorem. The Theorem states that for the triangle formed by the ladder and the building, the square of the hypotenuse (the ladder length) is equal to the sum of the squares of the other two sides. Therefore, the ladder length Mark needs is equal to the square root of the sum of the squares of 5 feet and 12 feet, which is equal to the square root of 169, or 13 feet. Therefore, Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.
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The equation-4 - x = -13 has the solution
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
-4 - x = -13
Step 2: Solve for x
Add 4 to both sides: -x = -9
Divide both sides by -1: x = 9
Step 3: Check
Plug in x to verify if it's a solution.
-4 - 9 = -13
-13 = -13
Answer:
x = 9.
Step-by-step explanation:
-4 - x = -13
-x = -13 + 4
-x = -9
x = 9.
i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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A species with an initial population of 100
is growing in an environment where the
carrying capacity is 3000. After 4 years
the population is up to 600. Find the
logistic function that models this
population as a function of time.
answer :
P(t) = 3000 / (1 + 29*e^(-0.637t))
steps
logistic function or logistic curve is a common S-shape curve (sigmoid curve) with equation:
P(t) = K / (1 + A*e^(-rt))
1. There is a type of animal or plant
species that started with 100
individuals.
2. The environment can support up to
3000 individuals, which is called the
"carrying capacity".
3. After 4 years, the population has
grown to 600 individuals.
4. We need to find a "logistic function"
that can show how the population
changes over time.
A species with an initial population of 100 is growing in an environment where the carrying capacity is 3000.
After 4 years, the population is up to 600.
We want to find the logistic function that models this population as a function of time.
The logistic function is a model of population growth that takes into account the carrying capacity of the environment. It is given by the formula:
P(t) = K / (1 + A e^(-r(t-t0)))
Where:
P(t) is the population size at time t
K is the carrying capacity of the environment
r is the growth rate of the population
t0 is the time at which the population starts to grow
A is a constant that determines the initial population size
To find the logistic function that models the population described in the problem, we need to determine the values of K, r, t0, and A.
We know that the initial population size is 100, so A = 100.
After 4 years, the population is up to 600, so P(4) = 600. We can use this information to solve for r:
600 = K / (1 + A e^(-r(4-t0)))
600 = K / (1 + 100 e^(-4r))
600(1 + 100 e^(-4r)) = K
K = 600 + 60000 e^(-4r)
We also know that the carrying capacity is 3000, so K = 3000.
3000 = 600 + 60000 e^(-4r)
2400 = 60000 e^(-4r)
0.04 = e^(-4r)
ln(0.04) = -4r
r = ln(0.04) / -4
r ≈ 0.693
Now we can use the value of r to solve for t0. We know that the initial population size is 100, so we can use this to find the value of A at t0:
100 = K / (1 + A)
100 = 3000 / (1 + A)
1 + A = 30
A = 29
We can now use this value of A to solve for t0:
100 = 3000 / (1 + 29 e^(-r(t0)))
1 + 29 e^(-r(t0)) = 30
e^(-r(t0)) = 1/29
ln(1/29) = -r(t0)
t0 = ln(1/29) / -r
t0 ≈ 2.48
Now we have all the values we need to write the logistic function:
P(t) = 3000 / (1 + 29 e^(-0.693(t-2.48)))
This is the logistic function that models the population as a function of time. It predicts that the population will grow exponentially at first, but then level off as it approaches the carrying capacity of the environment.
We can model the population growth of the species using the logistic equation:
dP/dt = rP(1 - P/K)
where P is the population size, t is time, r is the growth rate, and K is the carrying capacity.
To find the logistic function that models this population as a function of time, we need to determine the values of r and K. We can use the information given in the problem to solve for these values:
The initial population size is 100, so P(0) = 100.
The carrying capacity is 3000.
After 4 years, the population size is 600, so P(4) = 600.
Using these values, we can solve for r and K:
P(t) = K / (1 + A*e^(-rt))
where A is a constant determined by the initial population size, and e is the base of the natural logarithm.
From the initial population size, we know that:
A = (K - P(0)) / P(0) = (3000 - 100) / 100 = 29
We can use the population size after 4 years to solve for r and K:
600 = K / (1 + 29*e^(-4r))
Multiplying both sides by the denominator:
600 + 29600e^(-4r) = K
Substituting K = 3000:
3000 = 600 + 29600e^(-4r)
Dividing both sides by 600:
5 = 29*e^(-4r)
Taking the natural logarithm of both sides:
ln(5) = ln(29) - 4r
Solving for r:
r = (ln(29) - ln(5)) / 4
r ≈ 0.637
Now that we have r and K, we can plug them into the logistic equation to get the logistic function:
P(t) = 3000 / (1 + 29*e^(-0.637t))
This function models the population of the species as a function of time, where P(t) is the population size at time t.
ChatGPT
Frances had no money in her checking account. She writes 3 checks for $35 each. The bank imposes a $15 penalty because she has overdrawn her account. How much money is in her account now?
The money in Frances' account is - $ 120 after the 3 checks and the penalty.
We are given that:
Frances has no money in her account.
Current balance of her account = $ 0
Now she wrote 3 checks of $ 35 each.
Amount written = 3 × $ 35 = $ 105
Now, the balance in her account will be = $ 0 - $ 105 = - $ 105
Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.
So, the balance now will become:
Balance = - $ 105 - $ 15 = - $ 120
Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.
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Helppppppppppppppppp
what functions are symmetric with respect to the origin
Answer:
odd function
Step-by-step explanation:
A function that is symmetrical with respect to the origin is called an odd function. f(x). Since f(−x) = f(x), this function is symmetrical with respect to the y-axis.
Answer:
odd function
Step-by-step explanation:
i did tis assignment
If the ratio of markers to erasers is 5:2. How many
markers would you have to have if there were 32
erasers?
Plz give me an explanation
Answer:
80 markers
Step-by-step explanation:
Set it up as an equation.
markers/erasers 5/2=x/32
Cross multiply to get 160=2x
x=80
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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A f and g share the same root(s)
B f and g share one root in common but each have another root that is not shared
C f and g share no roots in common
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Answer:
C f and g share no roots
Step-by-step explanation:
The roots of a polynomial function are the values of x that make factors of the function be zero.
f(x) = x(x +4). The roots of f are -4 and 0.
g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.
f and g share no roots in common.
45%of the total population of a village are males and there are 22000 females Find the male population of the village.
Answer:
18000
Step-by-step explanation:
The 22000 females make up 55% of the population. So, we divide 22000 by 0.55 to get the total population.
22000 ÷ 0.55 = 40000
Now we take our total population and subtract 22000 to get the number of males in the population.
40000 - 22000 = 18000
The male population of the village is 18000.
I need urgent help anyone?
Answer:
6.6 repeating = 6.7
46/7 = 6.7
6.8 = 6.8
47(root) = 6.9
Some of these answers have repeating numbers so I just rounded em.
Hope this helps :D
Length of a rectangle is 3 times it’s width perimeter 48 find area
Answer:
Let width = l
Therefore, length = 3l
Perimeter = 2(l+b)
48 = 2(l+3l)
48 = 2× 4l
48 = 8l
8l = 48
l = 48/8
l = 6
Width = 6
Therefore, length = 3×6
= 18
Area = l×b
= 18×6
= 108
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
which expressions are equivalent to 1/81? check all that apply.
Answer: here are some examples :
8-1 9^
-2 9^
8/9^
4 9^
8/9^
10 9^
-6 x 9^
3 9^5 x 9^-7
Step-by-step explanation: pls mark branliest
The circumference of a circle is 40.8 centimeters.
What is the area of the circle, rounded to the nearest tenth? Use 3.14 for ft. Enter the answer in the box.
Answer:
132.54cm²
Step-by-step explanation:
We can use the formula [ C²/4π ] to solve.
= 40.8²/4π
= 1,664.64/12.56
≈ 132.54cm²
Best of Luck!
What’s a cows favorite type of math?
Answer:
mooltiplication
The solution is, Multiplication is a cows favorite type of math.
What exactly is the Purple Cow Poem about?Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.
here, we have,
In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.
According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.
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use distributive property to evaluate each expression -3(-7+2)
Answer:
-25
Step-by-step explanation:
Answer:
21-6
Step-by-step explanation:
I need help please ASAP
Answer: C
Step-by-step explanation:
120 plus 80 equals 200.
PLEASE HELP!!
Name the solution to this system of equations:
9514 1404 393
Answer:
(x, y) = (3, -1)
Step-by-step explanation:
The solution to the system of equations is the point where the lines intersect.
(x, y) = (3, -1)
which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2
Answer:
-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7
Step-by-step explanation:
The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a rotation image of the other.
Neither figure is a translation or rotation image of the other.
9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:
Answer:
(a) Yes, E and F are independent events.
(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4
what is 12/21 + 18/21 + 14/21
Answer:
44/21
Step-by-step explanation:
what is 12/21 + 18/21 + 14/21
having the same denominator just add the numerators leaving 21 as the denominator(12 + 18 + 14)/21 =
44/21
Alejo had 115.25 in his bank account. He made three equivalent
transactions. His new balance is $-77.73. How much was each transaction?
Answer:
So,
let the amount of each transaction be x.
3x= 115.25+77.73
x= 192.98÷
x= 64.327
each transaction was of 64.327
Step-by-step explanation:
since the amount left is -77.73 then three equal transaction will also include 115.25+77.73= 1 92.98
192.98 was the total amount used
OMG PLEASE HELP! THIS ASSIFNMENT DUE IN LIKE 5 MINUTES!! (Sorry if blurry pic)
Answer:
I think the 3rd answer
Step-by-step explanation:
Draw a model that shows 2 items being divided equally for 5 people. How much will each person have?
Answer:
Draw 2 squares and spilt it into 5 pieces.
You would get 2/10 or 1/5 in total, meaning that each person would get that much of an item.
Step-by-step explanation:
Sorry I couldn't explain it too well but I hope this helped and please give me brainliest if you don't mind, thanks and have a great day!!
If the spinner does not land on yellow, what is the probability it will land on blue?
1/6
3/8
1/8
1/4
Answer-
1/8 because their are 8 peices and 1 of them are blue and 2 of them are yellow so it become 1/8
Answer:
ans is 1/6
because its sure spinner not land on the yelow so two pieces neglect
so prob =favourable cases/total cases
blue has one piece only
1/6
for what natural values of n are the value of the following expression equal to a natural number: 36-n^2/n^2
Answer:
All natural numbers
Step-by-step explanation:
I'm assuming that you mean 36-(n^2/n^2)
A natural number is a positive integer
n^2/n^2 is always 1 for natural numbers.
so 36-1=35 which is a natural number