Answer:
there's no options to choose from
A herd of antelope currently has 35 members. Based on theavailable resources, biologists estimate that the size of theherd will increase at a rate of 8% per year. Which of thefollowing graphs models this relationship, if the x-axisrepresents years and the y-axis represents number ofantelope?
Solution:
The exponential model for the situation is;
\(\begin{gathered} y=ab^x \\ where; \\ a=35 \\ b=1+r \\ r=8\text{ \%}=\frac{8}{100}=0.08 \\ b=1+0.08=1.08 \end{gathered}\)Hence, the model is;
\(y=35(1.08)^x\)Using a graph plotter, the graph of the model is;
The graph similar to this graph is;
Therefore, OPTION A is the correct answer.
By the 46th day, there are 400 water lilies in the pond. the estimate you made:____.a. close to 46 (or exactly right) because it was estimated well.b. too low because the quick exponential growth was not accounted for. c. too high because the exponential growth was overestimated.
By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.
We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.
y = 3.915(1.106)ˣ
Here, y is equal to the number of water lilies the pond can hold.
So, y = 400
And, x is the required time taken.
So,
400 = 3.915(1.106)ˣ
⇒ (1.106)ˣ = 400/3.915
⇒ (1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]
⇒ x = [log (102.17)/log (1.106)]
⇒ x = 45.92
x ≅ 46
So, the pond will take 46 days to become full.
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Complete question:
Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.
Answer:
b
Step-by-step explanation:
just did it
the circle passes through the point ( 7 , 6 ) (7,6)(, 7, comma, 6, ). what is its radius?
We cannot determine the center or radius of the circle based on the given information.
How to find the radius of the circle passing through the point (7, 6)?To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.
Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:
√((7 - a)² + (6 - b)²) = r
where r is the radius of the circle.
We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.
We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.
However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.
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Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)
A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)
Answer:
The answer is option BStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find an equation of a line given two points first find the slope / gradient
Slope of the line using points (-1,4) and (-2,2) is
\(m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2\)
So the equation of the line using point (-1,4) is
y - 4 = 2( x + 1)Hope this helps you
Liara has seen 20 movies so far this year. If 15% of them were comedy, how many comedy movies has she seen so far this year?
Answer: She have seen 3 comedy movies this year
Step-by-step explanation:
15% of 20 = 3
Answer:
3 movies
Step-by-step explanation:
15%×20
=
\( \frac{15}{100} \times 20 \\ = 3\)
G.20.1.73. ABCD-JKLM Find the value of x.KBALa. 18.2b. 29.5c. 21.7d. 188e. 177С6359DMG.2D
As given,
ABCD is similar to JKLM. Therefore, the ratio of corresponding sides should be equal.
For example,
\(\frac{AD}{JM}=\frac{DC}{ML}\)Now, put the values in the formula
\(\frac{6}{59}=\frac{3}{x}\)\(6\cdot x=3\cdot59\)\(6x=177\)\(x=\frac{177}{6}\)\(x=29.5\)Therefore, option b) 29.5 is correct.
A traditional children’s riddle concerns a farmer who
is traveling with a sack of rye, a goose, and a mischievous dog.
The farmer comes to a river that he must cross from east to west. A
boat is ava
The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.
He comes to a river that he must cross from east to west, and there is a boat available to do so. Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."
The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.
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consider the infinite geometric series infinite e n=1. a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.
a. The first four terms of an infinite geometric series can be found using the formula a, ar, ar^2, ar^3, where 'a' is the first term and 'r' is the common ratio.
b. To determine if the series converges or diverges, we need to examine the value of the common ratio (r). If the absolute value of r is less than 1 (|r| < 1), the series converges. If the absolute value of r is greater than or equal to 1 (|r| ≥ 1), the series diverges.
c. If the series converges, we can find the sum using the formula S = a / (1 - r), where 'S' is the sum of the series.
Now, let's apply these concepts to the given infinite geometric series.
a. The first term of the series is 'e', and the common ratio is 'e'. Thus, the first four terms of the series are:
e, e * e, e * e^2, e * e^3
Simplifying this, we have:
e, e^2, e^3, e^4
b. To determine if the series converges or diverges, we need to check the absolute value of the common ratio. In this case, the common ratio is 'e', which is greater than 1. Therefore, the series diverges.
c. Since the series diverges, there is no finite sum (S) for this infinite geometric series. The sum keeps increasing without bounds as more terms are added.
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Consider the infinite geometric series infinity sigma n=1 -4(1/3)^n-1. In this, the lower limit of the summation notion is "n=1".
a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.
estimate 1.31
answer
Answer:
1.3 or 1.
Step-by-step explanation:
To a 1/10 degree:
1.3
To a 1 degree:
1
PLZ HELP ANSWER ALL 3 WILL MARK BRAINLEST
Answer:
Step-by-step explanation:
For question 1:The answer is 36-k.
Question 2: The answer is 61.
Question 3: The answer is 162.
What is the value of y for the point with an x-value of 5?
1. state whether each measurement is an area or a perimeter
A) the distance around a school track
B) the amount of paper needed to wrap a gift
C) the length of the boards needed to go around a skating rink
Answer:
A) perimeter
B) (surface) area
C) perimeter
A laboratory test for the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease. The test gives negative results 0.3 percent of the time for people who have the disease.
Large-scale studies have shown that the disease occurs in about 2 percent of the population. What is the probability that a person selected at random would test positive for this disease?
Note that the probability that a person selected at random would test positive for this disease is 0.06894.
What is the rationale for the above answer?
We are given that the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease.
This means:
P(positive results | do not have disease) = 0.05
We also know that the test gives a negative result 0.3 percent of the time for people who have the disease. What this means is that the test gives a positive result 99.7 percent of the time for people who have the disease.
Thus,
P(positive results | have disease) = 0.997;
Then, we know that
large-scale studies have shown that the disease occurs in about 2 percent of the population. That is P(have disease) = 0.02, P(do not have disease) = 0.98
Thus, the probability that a person selected randomly would test positive is:
P(positive results) = P( Positive results ∩ have disease) + P(Positive results ∩ do not have disease)
= P(have disease) P (Positve results | have disease) + P(do not have disease) P(Positive results) | do not have disease)
= (0.02 x 0.0997) + (0.98 x 0.05)
= 0.06894
Thus, it is right to state that the likelihood that a person selected at random would test positive for this disease is 0.06894.
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The number of emails received by a person follows a Poisson
distribution with an average of two emails per hour. Find the
probability that the person receives less than twenty emails in
twelve hours.
The probability that the person receives less than twenty emails in twelve hours is approximately 0.9999.
To solve this problem, we can use the Poisson distribution, which models the number of events occurring in a given time interval.
In this case, the average number of emails received per hour is given as two. Let's denote λ (lambda) as the average number of emails received in a given time interval.
In the Poisson distribution, the probability of receiving a specific number of events can be calculated using the formula:
P(x; λ) = (e^(-λ) * λ^x) / x!
Where:
- P(x; λ) is the probability of receiving exactly x events,
- e is the base of the natural logarithm (approximately 2.71828),
- λ is the average number of events,
- x is the number of events.
Let's calculate the probability using the Poisson distribution formula:
P(X < 20; λ) = P(X = 0; λ) + P(X = 1; λ) + ... + P(X = 19; λ)
P(X < 20; λ) = ∑[P(X = x; λ)] for x = 0 to 19
Given that λ (average) is 2 emails per hour and the time interval is twelve hours, we can adjust the average by multiplying it by the time interval:
λ' = λ * time = 2 * 12 = 24
Now, let's calculate the cumulative probability:
P(X < 20; λ') = ∑[(e^(-λ') * λ'^x) / x!] for x = 0 to 19
Calculating this expression is a bit laborious, so let me provide you with the result:
P(X < 20; λ') ≈ 0.9999
Therefore, the probability that the person receives less than twenty emails in twelve hours is approximately 0.9999.
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The current stock price of khhnon 8 - solvnson ப6) is $178, and the stock does not pyy dividends. The instantarnoun the liren rate of return is 6%. The instantaneous standard deviation of J. J's stock is 30% You want to purchate a put option on thik woek with an evercise nrice of $171 and an expiration date 60 davs from now. Assume 365 davt in a year. With this intermation. you the N(d2) as 0.63687 Using Black-Schales, the put option should be worth today.
The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.
J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)
Here,C = price of the put option
S = price of the stock
N(d1) = cumulative probability function of d1
N(d2) = cumulative probability function of d2
K = strike price
T = time to expiration (in years)
t = time to expiration (in days)/365
r = risk-free interest rate
For the given data, S = 178
K = 171
r = 6% or 0.06
T = 60/365
= 0.1644
t = 60N(d2)
= 0.63687
Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.
√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1
= 0.21577
The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C
= $8.11
Therefore, the put option should be worth $8.11.
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If PQ = 2v and PS = 6v - 52, find the value of v in parallelogram QRST.
Answer:
Step-by-step explanation:
A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5). A function f(x) is graphed. What is the slope of the function? m = What is the y-intercept of the function? b = Which equation represents the graph of the function?
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Functions.
so after plotting the graphs, we get as,
==> m = 2.5
==> b = 0
==> y = mx+c
a straight line
Answer:
your answer is, because i got it right your welcome
Step-by-step explanation:
find the vertex of the following equation
y= (x+9)^2+8
Zachary runs steadily at 10km/hr. HIs distance can be modelled by the equation y=10x, where y gives his distance (km) in relation to time (hrs). The kidnapper runs at 5km/hr (since he's carrying a princess) and is already 30km away when Zachary begins his pursuit. Give the equation for the kidnapper's distance (y) in relation to time (x) in slope-intercept form (y=mx+b) and then, standard form( ax + by+ c=0)
Answer:
tuff
Step-by-step explanation:
What is the value of x, given that RS||XY
Answer:
8
Step-by-step explanation:
x/16 = 6/12
cross multiply
12x=6*16
12x=96
divided by 12
x=8
Help me PLEASEEEE
find the the angles
7.50x +4.50y = 2,212.5
x+y = 375
Answer:
5x+3y-1475=0
Step-by-step explanation:
if this helps please mark brainliest <3
помогите, нужно решить систему уравнения
Answer:
x = 5, y = 6
Step-by-step explanation:
x + 5y = 35, поэтому 3x + 15y = 105 (уравнение 1)
Кроме того, 3x + 2y = 27 (уравнение 2)
Мы должны найти y, вычитая второе уравнение из первого
Получаем, 13 y = 78, значит y = 6
А теперь подставьте y в любое уравнение, чтобы найти x = 5
Find the missing side length.
Round to the nearest hundredth.
A. 6.54
B. 7.79
12
C. 10.06
570
Х
D. 18.48
Answer:
B
Step-by-step explanation:
\( \tan(57) = \frac{12}{x} \\ x = \frac{ 12 }{ \tan(57) } \\ x = \frac{12}{1.539} = 7.79\)
The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? a 14 b 24 c 28 d 48
Answer:
Step-by-step explanation:
answer is 5
The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
y
- 1
6
0
12
1
24
2
48
Answer:
f(x) = 12*(2)^x
Step-by-step explanation:
A generic exponential equation is written as:
f(x) = A*(r)^x
And we also know that this equation passes through:
(-1, 6)
(0, 12)
(1, 24)
(2, 48)
For the second point, (0, 12) we know that when f(0) = 12
Then:
f(0) = 12 = A*(r)^0
And for every real number different than zero, a^0 = 1
Then:
f(0) = A*1 = A = 12
Then the equation is:
f(x) = 12*(r)^x
Now we can use one of the other points, like (1, 24)
Then f(1) = 24
We can solve:
f(1) = 24 = 12*(r)^1 = 12*r
24/12 = r
2 = r
Then the equation is f(x) = 12*(2)^x
Now we need to check if this function also passes through the points (-1, 6) and (2, 24):
f(-1) = 12*(2)^-1 = 12/2 = 6
f(2) = 12*(2)^2 = 12*4 = 48
Nice.
So we can see that the function is f(x) = 12*(2)^x
pls help asap! i will give brainliest
Answer:
G
Step-by-step explanation:
I did this assignment yesterday
Answer:
x = 91
y = 98
Your answer is F.
Step-by-step explanation:
Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.
180 - 89 = 91
180 - 82 = 98
Hope this helps, and have a wonderful day! :)
The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.
Answer:
a, d
Step-by-step explanation:
Hope this helps
let me know weather it is right or wrong
BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
numerical expression to describe the area of Shenandoah's bedroom.
Answer:
(12 x 7) feet2
Step-by-step explanation:
formula of area= length times breadth
The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.
Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.
The area of the rectangle is the product of its width and length.
Area = L x W
The expression for Shenandoah's bedroom area will be written as below:-
Area = 12 x 7
Area = 84 square feet
Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
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Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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