Using the concepts of statistics, we got that if the per capita death rate increased, then the exponential growth model would decrease the initial population size.
We know very well, the set up of a differential equation relating instantaneous population growth with respect to the time to the per capita population growth rate and the current population size at an arbitrary time is as follows:
dN / dt = rN
Now, we are told that the constant, r, is per capita population growth rate. N is current size of the population at some time. "r" is the "organisms added per reproductive period" divided by total population at that time. For instance, if the 10 rabbits are born per month and the current population is 100 rabbits, then r value = 0.1.
Hence, the exponential growth model would decrease the initial population size if the per capita death rate increased.
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A suit is on sale for $296.40, which is 62% less than the regular price.
What is the regular price?
Answer: The total price is $478.06
Step-by-step explanation:
For this we use regular price of the suit as x
x is 100% of the price therefore 62% of x=296.4
Now we cross multiply
62 × x = 100 × 296.40
62x = 29,640
Now that we got rid of those complicated percentages we simply divide both sides by 62 to isolate x
29,640/62 = 478.064516129
Since we are working with dollars and cents that do not get smaller than .01 we can shave off all the extra decimals near the end
478.06
The regular price is $478.06
Now we just check our work to prevent any awkward and simple mistakes
478.06 x .62 = 296.3972 or 478.06 x .62 = 296.39
Keep in mind the one cent difference is because we shaved off the extra decimals at the end
Hope this helps!
Directions:
Construct the bisector of the following figures.
Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.
What are the steps to create a bisector?
By following these steps to create a bisector in the provided curve:-
1) Join the extreme points and make a line.
2) By using compass, take width as length of a line joined in step 1.
3) Draw a curve taking extreme points.
4) Draw a line from the intersection of the curve to the line.
The above following steps should be performed error free and you will get bisector.
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Quadrilateral EFGH is similar to quadrilateral IJKL. Find KL. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
59
H
13
E
27
F
G
I
L
X
K
Answer:
x=81
steps
From the concept of similarity
3EH = ILhence, 3HG = KL3(27) = KLKL = 81Which expression is equivalent to 5(4x+3)-2x
How is the work shown?
Answer:
Step-by-step explanation:
18x+15. Step-by-step explanation: 5(4x+3)-2x. Distribute the 5. 20x +15 - 2x. Combine like terms. 20x-2x +15.
Help please, I can’t think of what this is plus time is running out
The measure of width of given figure is 2 units. Therefore, option B is the correct answer.
From the given figure, the length is 9 units and the width is 1 unit.
What is a length?Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects. For example, a rectangle has its dimensions as length and breadth.
From the figure, the width is 1+1=2 units
The measure of width of given figure is 2 units. Therefore, option B is the correct answer.
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an isosceles triangle has a base that measures x 2 with legs that measure 4x - 3 and 2x 5. what is the value of x? an isosceles triangle has a base that measures x 2 with legs that measure 4x - 3 and 2x 5. what is the value of x?
The value of x is 4 for the isosceles triangle has a base that measures x+2 with legs that measure 4x-3 and 2x+5.
What is an isosceles triangle?Therefore, an isosceles triangle has two equal sides as well as two equal angles. An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal. The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.
Here,
Since the adjacent sides of isosceles triangles are equal,
4x-3=2x+5
4x-2x=5+3
2x=8
x=4
The isosceles triangle has a base that measures x+2 and legs that measure 4x-3 and 2x+5, so x is equal to 4.
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the center for medicare services reported that there were 295,000 reported appeals for hospitalization and other medicare part a services. for this group, 40% of the first round appeals were successful. suppose ten first round appeals were just received. the results follow a binomial distribution. what is the probability exactly two of the appeals was successful? enter answer to four decimal places.
The probability exactly two of the appeals were successful is 0.9536
We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.
This situation can be represented through Binomial distribution as;
[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]
where, n = number of trials (samples) taken = 10
r = number of success
p = probability of success which in our question is % of first-round
appeals that were successful, i.e.; 40%
So, here X ~ Binom(n=10 , p=0.40
Probability that at least two of the appeals will be successful = P(X>=2)
P(X >= 2) = 1 - P(X = 0) - P(X = 1)
= 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]
= 1 - 0.00605 - 0.0403
= 0.9536
Hence, the probability exactly two of the appeals were successful is 0.9536
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A right triangle has a hypotenuse of length 10 centimeters. If one angle is 40°, find the length of each leg.
If a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter
The hypotenuse of the right triangle = 10 centimeter
The measure of angle = 40 degree
Here we have to use the trigonometric functions
sin θ = Opposite side / Hypotenuse
Substitute the values in the equation
sin 40 = Opposite side / 10
Opposite side = 10 × sin 40
= 6.43 centimeter
Similarly
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos 40 = Adjacent side / 10
Adjacent side = 10 × cos40
= 7.66 centimeter
Hence, if a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter
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A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?
PLEASE I NEED HELP!!
does this equal to 10 or 5 abit confused I’ll brainlist .
The population of a pigeons in a city is 110 and is growing exponentially at 10% per
year. Write a function to represent the population of pigeons after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.
Answer:
The decemial is 7
Step-by-step explanation:
0.7. Because 04 plus 0.3 equal to 0.7
How to subtract 27 minus 9.9 using mental math
Answer: you are left with 17.1 or 17.10
HOW TO: picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?
I need to paint a straight face consisting of six panels he has a green red and magenta paint and each panel should be painted with only one color how many ways are there to paint the fence
There are 20 ways to paint the fence consisting of six panels each with one color out of green, red, and magenta.
There is a total of 6 panels and 3 paint colors and each panel has to be painted with only 1 color.
∴ Total number of panels = 6
Total number of colors = 3 (green, red, and magenta)
To calculate the number of ways to paint 6 panels with one of the 3 colors, the formula of combination is used. Combinations are ways of selecting objects from a group or collections, in a way that the order of the objects does not matter.
The number of ways or the combinations of 6 panels taken with each color out of 3 at a time is given by [tex]^6C_3[/tex]
[tex]^6C_3[/tex] = 6! / [3! (6-3)!]
[tex]^6C_3[/tex] = (6*5*4*3*2*1) / [3*2*1 (3)!]
[tex]^6C_3[/tex] = 720 / (6*6)
[tex]^6C_3[/tex] = 720 / 36
[tex]^6C_3[/tex] = 20
Therefore, 20 combinations are possible to paint 6 panels each with only one color out of green, red, and magenta.
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arceus x is on its way btw let's gooo ps. i need help
The number of pages read by her will be 36.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Marion read 616 pages in 14 days, The number of pages each day will be calculated as,
N = 616 / 17
Divide the number 616 by 17,
N = 36.23
N = 36
Therefore, the number of pages read by her will be 36.
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what are the multiples of 7 between 40 and 90
Answer:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
Step-by-step explanation:
Kelly has 97 apples, Jason has 72. How may proportional relationships are there?
There are 6984 inverse proportional relationships and the direct proportional relationships are 97/72.
Given that:
Kelly has 97 apples, and Jason has 72.
The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.
Y/X = k
Substitute the given X and Y values and solve for k.
Suppose, Y = 97, X = 72
then k = 97/72
Distinguish a proportional relationship from other relations, including an inverse relationship (XY = k or Y = k/X).
An inverse proportional relationship is one in which two quantities vary inversely with respect to each other. We say that the variable Y changes inversely with X if
Y = k/X
Substitute the given X and Y values and solve for k.
Suppose, Y = 97, X = 72
then k = 97 x 72
=> k = 6984
Hence, there are 6984 inverse proportional relationships and direct proportional relationships are 97/72 between Kelly which has 97 apples, and Jason which has 72.
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an urn contains 6 blue balls and 6 orange balls. in how many ways can we select 2 blue balls and 2 orange balls from the urn?
The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545
No. of Blue balls in the urn = 6
No. of Orange balls in the urn = 6
Total no. of balls in the urn = No. of blue balls + No. of orange balls
= 6 + 6
= 12 balls
No. of blue balls to be selected = 2
No. of orange balls to be selected = 2
No. of balls to be selected = 4
The total. no of ways 4 balls can be selected =[tex]^{12}C_{4}[/tex]
The No. of ways 2 blue balls can be selected = [tex]^{6}C_{2}[/tex]
The No. of ways 2 orange balls can be selected = [tex]^{6}C_{2}[/tex]
Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn
= [tex]^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}[/tex]
Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls
P = (15×15)/495
= 225 / 495
P = 0.4545
Therefore, the no. of ways to select blue and orange balls is 0.4545
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PLEASE HELP!
3. In a survey of 1000 eligible voters selected at random, it was found that 8% had a college degree. Additionally it was found that 80% of those who had a college degree voted in the last presidential election. Whereas 55% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random voted. Draw a diagram to represent this situation.
a) If you randomly chose an eligible voter from this group, what is that probability that they have a degree and did not vote?
b) If you randomly chose an eligible voter from this group, what is the probability that they voted?
c) If you randomly chose a person who voted in the presidential election, what is the probability that they had a college degree?
hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)
A. 8%
B. 39.6%
C. 58.4%
step by step:
A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.
P = 80/1,000
P=0.08*100
P=8%
Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%
B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.
P =396/1000
P=0.396*100
P=39.6%
Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%
C. Calculation to determine the probability if The voter voted in the last presidential election.
P = 584/1,000
P=0.584*100
P=58.4%
Therefore the probability if The voter voted in the last presidential election will be 58.4%
750 people go on a coach trip
each coach can hold 55 people
How many coaches are needed
Step-by-step explanation:
750 people go on a coach trip each coach can hold 55 people How many coaches are needed?
750/55 = 13.636 coaches are needed.
Because you cannot have a partial coach, you round up to needing 14 coaches.
In the recent year, 51.9 billion aluminum cans were recycled. About how many cans per week is this?
The number of cans that are recycled is approximately 1 billion cans in 1 week.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that 51.9 billion aluminum cans were recycled.
Therefore, the rate of recycled the can is;
51.9 billion / 1 year
We know that 1 year has 52 weeks
Then
51.9 billion / 1 year x 1 year / 52 weeks
= 51.9 (1) billion / 1 (52 ) weeks
= 51.9 billion/ 52 weeks
= 1 billion/ 1 week
Hence, the number of cans that are recycled is approximately 1 billion cans in 1 week.
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30 POINTS AND BRAINIEST PLEASE HELP ASAP!!!!
Part A: Given the function g(x) = |x − 5|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 3, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answer:
Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)
Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2
Evaluate b²-4ac if: a = 1 b= -3 C = -1
Answer:
13
Step-by-step explanation:
To evaluate meant to find its Value at the givens
At a = 1 , b = -3 , c = - 1
[tex]b^{2}-4ac=(-3)^{2} -4*1*-1=9+4=13[/tex]
Glad to Help
If m/AGD = 72°, then what is m/DGB?
177²
37. C
A
E
D
H
a
10
5
G/1
3/2
F
B
4
Please provide an explanation.
Answer:
m∠DGB = 108°
Step-by-step explanation:
Linear pair:If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.
m∠AGD + m∠DGB = 180° {Linear pair}
72 + m∠DGB = 180
m∠DGB = 180 - 72
m∠DGB = 108°
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
The quadratic function is given by
f(x) = [tex]-3(x+2)^2[/tex] + 1
The vertex form of the quadratic function is
f(x) = [tex]a(x-h)^2[/tex] + k
Where (h, k) is the coordinates of the vertex
x = h is the axis of symmetry
Compare the given function and the vertex form of the quadratic function and find the value of the each term
The value of h = -2
The value of k = 1
The coordinates of the vertex = (-2, 1)
The axis of symmetry is at x = h
h = -2
Draw the graph using the details
Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
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Solve the following problems using the concept of multiples. Justify your work with a table.
3. María is shopping for party supplies. She finds that paper plates come in packages of 8,
napkins come in packages of 10, and paper cups come in packages of 12. What is the
least number of packages of plates, napkins, and cups she has to buy so that she
has the same number of each item for her party?
8
10
4. For the month of November, Jaime plays basketball every other day and he goes to sc
practice every four days.
If he starts on November 2 on what days will he do both sports?
For Maia's birthday celebration, the bare minimum amount of packets of plates, napkins, and cups she needs to purchase is 15, 12, and 10, respectively.
What is a Fraction?A portion of a whole is referred to as a fraction. such as 0.25 can be used to describe the fraction 1/4.Given that paper plates, napkins, and cups are sold in quantities of eight, ten, and twelve each, respectively, Therefore, we need to take the LCM of the following in order to determine how many packets of plates, napkins, and cups Maria needs to purchase in order to have the same quantity of each item for her birthday celebration.acc to our question-
LCM of 8, 10, and 12 = 120Now, the number of packages,Hence, the least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.Learn more about Fraction:
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you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.
From the provided data, we have
number of meatloafs = 5
Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.
net weight of the contents of 1 canister = 15 ounces
1 cup = 8 ounces
1.25 cups = 10 ounces
10 ounces of breadcrumbs makes 1 meatoafs.
but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10
= 50
If we consider 4 canisters then
15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.
and if we are consider 3 canisters then
15 ounces × 3 canisters = 45 ounces which is not enough.
So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.
approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .
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Complete question:
you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.
How many servings does that recipe make? It says it serves 10.
How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.
What is the net weight of the contents of 1 canister? 15 ounces.
How much does a canister cost? $2.39
How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.
Help Please! Its a Math question. Need help asap.
The composite figure has a total area of 12 square centimeters.
How to determine the area of a composite figure
In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:
A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)
A = 36 cm² - 2 · (12 cm²)
A = 36 cm² - 24 cm²
A = 12 cm²
The area of the composite figure is 12 square centimeters.
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Convert 386,000 milliliters to kiloliters PLSS THIS IS DUE TOMORROW
Answer:
0.386 kiloliters
Step-by-step explanation:
because I used the calculator all I gotta do is divide the volume :)
Write an equation (any form) for the quadratic graphed below
The equation for the quadratic graphed is [tex]2x^{2}+4x+2[/tex].
Let the quadratic equation be [tex]y =a x^{2}+bx+c[/tex]
Points given in graph,
A(-1,0), B(-2,2), C(0,2)
Put the values in quadratic equation
For C(0,2)
[tex]2 =a(0)^{2}+b(0)+c[/tex]
[tex]2 = 0+0+c[/tex]
c = 2
For A(-1,0)
[tex]0 =a(-1)^{2}+b(-1)+2[/tex]
[tex]a-b+2 = 0[/tex]
a - b = -2 ...........(i)
For B(-2,2)
[tex]2 =a(-2)^{2}+b(-2)+2[/tex]
[tex]4a-2b+2=2[/tex]
2a - b = 0 ............(ii)
Solving eq (i) and (ii)
a = 2
b = 4
Putting the value of a, b and c in quadratic equation,
[tex]y =2x^{2}+4x+2[/tex]
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A family of four goes to a movie theater and spends $26.50. They buy 2 children's tickets at
$3.50 per ticket, 2 adult tickets, and 3 boxes of popcorn at $2.50 per box. What is the cost of
an adult ticket?
(Algebra)
Answer:
$6.50
Step-by-step explanation:
3.50(2)+2x+2.50(3)=26.50
6.00+2x+7.50=26.50
13.50+2x=26.50
2x=13.00
x=6.50
