how can a kepler-47c happen??
Plz help :(
Answers
Answer:
I'm not SUPER sure but, it only can exist where there is a region in a planetary system where liquid water might exist on the surface of a planet. That puts it in the "habitable zone" which is where it can exist.
Related Questions
When it is born a kitten weighs 110g when it is two months old it weighs 550g calculate the percentage increase in its mass
Answers
Given:
Initial weight of kitten = 110g
Present weight of kitten = 550g
To find:
The percentage increase in its mass.
Solution:
To get the percentage increase in its mass, we need to find the percentage increase in its weight.
\(\%Increase=\dfrac{\text{Present value - Initial value}}{\text{Initial value}}\times 100\)
\(\%Increase=\dfrac{550-110}{110}\times 100\)
\(\%Increase=\dfrac{440}{110}\times 100\)
\(\%Increase=4\times 100\)
\(\%Increase=400\)
Therefore, the percentage increase in kitten's mass is 400%.
In a seasonal-growth model, a periodic function of time is introduced to account for seasonal variations in the rate of growth. Such variations could, for example, be caused by seasonal changes in the availability of food. (a) Find the solution of the seasonal-growth model where k, r, and ϕ are positive constants. DP dt = kP cos(rt − ϕ) P(0) = P0 P(t) = (b) Find lim t→[infinity] P(t). (If there is no solution, enter NONE in the answer box. ) lim t→[infinity] P(t) =
Answers
(a) The solution of the seasonal-growth model is
P(t) = P0\(e^{(k/r sin(rt))}\)
(b) After solving we get \(\lim_{t \to \infty} P(t)\) = NONE . As, t approaches to infinity
(a) To solve the differential equation DP/dt = kPcos(rt-\(\theta\)),
The variables can be split apart and integrat:
∫(1/P) dP = ∫k cos(rt-\(\theta\) ) dt
ln|P| = (k/r)sin(rt- \(\theta\) ) + C
where
C is the constant of integration.
By solving for P, we get:
P(t) = \(e^{(k/r sin(rt- \theta ) + C)}\)
We can determine the value of C by using the initial condition P(0) = P0:
P(0) = \(e^{(k/r sin(- \theta) + C)}\)= P0
C = ln(P0) - (k/r)sin(-\(\theta\) )
C = ln(P0) + (k/r)sin(\(\theta\) )
By substituting this into the expression for P(t), we get:
P(t) = \(e^{(k/r sin(rt-\theta) + ln(P0) + (k/r)sin(\theta))}\)
By simplifying, we get:
P(t) = P0\(e^{(k/r sin(rt-\theta) + k/r sin(\theta))}\)
P(t) = P0\(e^{(k/r sin(rt))}\)
(b) We must take into account the behavior of sin(rt) as t approaches infinity in order to determine the limit of P(t) as t approaches infinity. Sin(rt) will fluctuate between -1 and 1 as t grows because the sine function oscillates between -1 and 1.
As a result, the term \(e^{(k/r sin(rt))}\) will bounce between \(e^{(-k/r)}\) and \(e^{(k/r)}\) as t approaches infinity, but it won't converge to a single value.
As a result, there is no P(t) limit as t approaches infinity.
Hence, the answer is:
\(\lim_{t \to \infty} P(t)\) = NONE.
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The cost of a loan for $600 over 2 years is $120.00. What was the rate on the loan?
Answers
Answer:
your annual interest rate will be 5%.
Step-by-step explanation:
brainliest please?
It was 120 dollars over the span of 2 years, so we divide 120 by 2.
120/2=60
So the loan costed $60 per year
---
hope it helps
In the diagram to the left, ABC and DCB are right angles. Which of the following is closest to the length of segment DE?
A.) 4.5
B.) 5.6
C.) 38.3
D.) 42.9
I think it is C, but am I correct?
Answers
Put the following equation of a line into slope-intercept form, simplifying all fractions.9x+3y=9x+3y=\,\,-9−9
Answers
The equation y = -3x represents the simplified form of the given equation, where y is expressed in terms of x with a slope of -3 and a
y-intercept of 0.
To simplify the given equation, we follow these steps:
1. Simplify the equation as follows: 3y = -9 - 9 - 9x.
2. Combine like terms: 3y = -18 - 9x.
3. Divide both sides of the equation by 3 to isolate y: y = (-18 - 9x) / 3.
4. Simplify the fraction by factoring out a -9: y = (-9)(2 + x) / 3.
5. Distribute 1/3 through the equation: y = (-3)(2 + x).
6. Rearrange the terms into the standard slope-intercept form:
y = -3x + 0,
Where m is the slope (-3) and b is the y-intercept (0).
The equation y = -3x represents the simplified form of the given equation, where y is expressed in terms of x with a slope of -3 and a y-intercept of 0.
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The mean of all possible sample means is equal to the
Select one:
a. population mean
b. population variance
c.
d. sample variance
Answers
a. population mean
The mean of all possible sample means is equal to the population mean.
This is known as the sampling distribution of the sample mean. When we take multiple random samples from a population and calculate the mean of each sample, the average of these sample means will converge to the population mean.
This is a fundamental result of statistics known as the Central Limit Theorem. As the sample size increases, the variability of the sample means decreases and they become centered around the population mean.
Therefore, the mean of all possible sample means provides an unbiased estimate of the population mean.
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Vif f(1) = 14, f ' is continuous, and 3 f '(x) dx 1 = 19, what is the value of f(3)? f(3) =
Answers
The value of f(3) is the equation for is mathematically given as
f(3) = 30
This is further explained below.
What is the value of f(3)?In the field of mathematics, a continuous function is defined as a function that exhibits the property of inducing a continuous variation in the value of the function whenever the argument undergoes a continuous change. This indicates that there are not any rapid shifts in value, which are referred to as discontinuities.
Generally, given that, f '(x) is continuous in 3 to 1,
Therefore
∫f '(x) dx = f(x) + constant
and
\(\int ^b _a\)f '(x) dx = f(b) - f(a)
Therefore
\(\int ^3 _1\)f '(x) dx = f(3) - f(1) = 19
f(3) = f(1) + 19
f(3) = 14 + 19
f(3) = 30
In conclusion, the value of f(3) is
f(3) = 30
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Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
Answers
I hope this helps, please tell me of you want a step by step, I can give one. :)
Please help me <3 !!!
Answers
Answer:
3. because the steps are each 3 units long
Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.
Answers
Answer:
Weeks is the independent variable and height is the dependent variable.
Step-by-step explanation:
The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.
g(x) = 32
X + 5
Given:
g(4)
Answers
Answer:
g(4)=7
Step-by-step explanation:
1/2(4) = 2
2+5 = 7
g(4)=7
Mamadou has 48 m of fencing to build a three-sided fence around a rectangular plot
of land that sits on a riverbank. (The fourth side of the enclosure would be the river.)
The area of the land is 256 square meters. List each set of possible dimensions
(length and width) of the field.
Answers
The set of possible dimensions are
l=32, when w=8
l=16, when w=16
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
l & w are the length and width respectively.
Area of a rectangle (A) = l * w
=> 256 = lw--------(1)
Given: 48 m of fencing to build a three-sided fence around a rectangular plot
=> l+ 2w = 48
=> l= 48 -2w--------(2)
From (1) and (2), we have
256 = (48 -2w)w
=> 256 =48w-2w²
=> 2w² -48w + 256 = 0
=> 2(w² -24w + 128 )= 0
=> 2(w-8)(w-16)= 0
=> w=8 and w= 16
(2)=> l= 48 -2(8) , when w=8
=> l=48 - 16 = 32
(2)=> l= 48 -2(16) , when w=16
=> l=48 - 32 = 16
Thus, the set of possible dimensions are
l=32, when w=8
l=16, when w=16
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Find the equation of the line that passes through (1, -1) and is parallel to
2x + y - 3 = 0
Leave your answer in the form y = mx + c
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1\)
what is -42+8+17 and what is 37+(-21)+(-16)
Answers
2) 37+(-21)+(-16)=0
Answer:
-42+8+17 = -17 and 37+(-21)+(-16) = 0
Step-by-step explanation:
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.15(0.98)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months.
m (number of months)
1
2
3
4
g(m) (price in dollars)
4.19
3.98
3.78
3.59
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer. (5 points)
Answers
Answer:
A: Fuel A is decreasing 2% per month
B: Fuel B is decreasing 5% per month, a greater change
Step-by-step explanation:
Given the price equation f(x) = 2.15(0.98^x) and a price table for g(m), you want to know the percentage by which f(x) is increasing or decreasing, and if f(x) or g(m) recorded a greater change over the previous month.
(a) Change in f(x)The function f(x) is of the form ...
f(x) = (initial value)·(growth factor)^(time)
where ...
growth factor = 1 + growth rate
Using this last equation and comparing the function forms, we see ...
growth factor = 0.98 = 1 +growth rate
growth rate = 0.98 -1 = -0.02 = -2%
The price of fuel A is decreasing at 2% per month.
(b) Change in g(m)The percentage change in g(m) can be found by ...
(g(2) -g(1))/g(1) × 100%
(3.98 -4.19)/4.19 × 100% ≈ -5.0%
The price of fuel B records a greater percentage price change over the previous month.
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What is the domain of the function y=2~/x-6 ?
Answers
For the given function y=2~/x-6, the denominator x-6 cannot be zero since division by zero is undefined. So, the domain of this function is all real numbers except x=6. In interval notation, the domain can be expressed as:
(-∞, 6) U (6, ∞)
The following time series data show the number of lightning strikes in a particular county for the most recent seven months.
Month 1 2 3 4 5 6 7
Value 23 12 19 11 18 22 14
(a)
Construct a time series plot.
What type of pattern exists in the data?
a. The data appear to follow a seasonal pattern.
b. The data appear to follow a cyclical pattern.
c. The data appear to follow a horizontal pattern.
d. The data appear to follow a trend pattern.
Answers
The time series plot of the given data shows the number of lightning strikes in a particular county for seven months.
Based on the pattern observed in the data, it appears to follow a seasonal pattern. This can be seen from the fluctuation in the values over time, where there is a recurring pattern or cycle. The values go through periods of increase and decrease, suggesting a seasonal influence on the occurrence of lightning strikes in the county.
Therefore, the correct answer is (a) The data appear to follow a seasonal pattern. This indicates that there is a regular, predictable variation in the number of lightning strikes over the months, likely influenced by factors such as weather conditions or other seasonal factors that affect the occurrence of lightning.
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On thursday, what fraction of the time from 8:00 a.m. to 2:15 p.m. is gerald scheduled to be in class?
Answers
Gerald is scheduled to be in class for 45/93 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.
To determine the fraction of time Gerald is scheduled to be in class, calculation of the duration of his class and divide it by the total duration from 8:00 a.m. to 2:15 p.m.
Step 1: Calculate the duration of Gerald's class:
The class starts at 8:30 a.m. and ends at 12:00 p.m. To find the duration, we subtract the start time from the end time:
12:00 p.m. - 8:30 a.m. = 3 hours and 30 minutes.
Step 2: Calculate the total duration from 8:00 a.m. to 2:15 p.m.:
To find the duration, we subtract the start time from the end time:
2:15 p.m. - 8:00 a.m. = 6 hours and 15 minutes.
Step 3: Calculate the fraction of time Gerald is scheduled to be in class:
To find the fraction, we divide the duration of Gerald's class by the total duration:
3 hours and 30 minutes / 6 hours and 15 minutes = 210 minutes / 375 minutes.
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
210 minutes ÷ 15 / 375 minutes ÷ 15 = 14 / 25.
Therefore, Gerald is scheduled to be in class for 14/25 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.
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Maryam ate three cookies and Robert ate five cookies. There were twenty cookies in the package. What percent of the cookies did they eat?
Answers
Answer:
40%
Step-by-step explanation:
Total number of cookies eaten
= Cookies eaten by Maryam + Cookies eaten by Robert
= 3 + 5
= 8
Total number of cookies in the package = 20
∴Percent of cookies eaten = \(\frac{NumberOfCookiesEaten}{TotalNumberOfCookies}\) × 100%
= \(\frac{8}{20}\) × 100%
= 40%
PLS HELP me !!!!!! 15 points !
Answers
Answer:
x = 2
y = 2
Step-by-step explanation:
x + 8y = 18
-5x + 3y = -4
multiply entire first equation by 5 to get
5x + 40y = 90
add second equation
5x + 40y = 90
+(-5x + 3y = -4)
----------------------------
43y = 86
y = 2
plug it in now
x + 8(2) = 18
x = 2
-5x + 3(2) = -4
x = 2
Write an equivalent expression for 3(2x + 4y).
Answers
Answer:
6x+12y
Step-by-step explanation:
I hope this helps, and STAYYY!!!!!! Fresh!
I HAVE 2 MINS TO FINSIH PLZ HELP
Answers
Answer:
The answer is 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
5(3)^2
This morning, the temperature was -5 degrees. Within 5 hours, it had increased by 12
degrees. What is the new
temperature?
Answers
Increase is addition,
Add 12 to -5:
-5 + 12 = 12-5 = 7
The new temperature is 7 degrees.
Use the graph to write a linear function that relates y to x .
Four points are plotted on a coordinate plane. The horizontal axis is labeled "x" and ranges from negative 6 to 3. The vertical axis is labeled "y" and ranges from negative 1 to 4. The points are plotted at ordered pair negative 6 comma 1, ordered pair negative 3 comma 2, ordered pair 0 comma 3, and ordered pair 3 comma 4.
Answers
The linear function that relates y to x is y = (1/3)x + 3 using the described graph.
How to write a linear function?Use the two given points to find the slope of the line passing through them:
slope = (change in y) / (change in x)
= (4 - 1) / (3 - (-6))
= 3/9
= 1/3
Next, use the point-slope form of the equation of a line to write the equation:
y - y1 = m(x - x1) where (x1, y1) is any point on the line, and m is the slope found.
Using the point (0, 3):
y - 3 = (1/3)(x - 0)
Simplifying:
y = (1/3)x + 3
So the linear function that relates y to x is y = (1/3)x + 3.
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Complete question:
Use the graph to write a linear function that relates y to x, given the following points:
(-6, 1)
(-3, 2)
(0, 3)
(3, 4)
Economics
Read this article about the history of Starbucks Corporation from HistoryLink.org: "Starbucks: The Early Years" by Sheila Farr. As you read, find at least one example of every major group in a typical circular flow diagram, including:
A business
A resource market
A household
A product market
Also find examples of a resource, good, service, or dollar amount that flowed between each of the four groups you identified. More specifically, these examples should include:
A resource from a resource market that a business used
A productive resource (labor) that a household supplied to a resource market
An expenditure a household made by buying a product
A product a household bought from the product market
Revenue a business made from the product market
A good or service a business provided to the product market
Once you have identified at least one example for each item in the list above, fill out the blank circular flow diagram below.
Keep in mind that the reading may provide multiple examples for each item. You only need to mention one or two examples, but make sure they are clear so your instructor can easily find them in the article. Also keep in mind that since the "income" and "wages, interest, net profit" categories are not explicitly mentioned in the reading, these details have been filled in for you.
Answers
Answer:
Business: Starbucks Corporation
Resource Market: Coffee farmers
Household: Starbucks customers
Product Market: Starbucks stores
Resource from a resource market that a business used: Coffee beans
Productive resource (labor) that a household supplied to a resource market: Starbucks customers' labor in the form of wages
Expenditure a household made by buying a product: Starbucks customers' expenditure on coffee and other products
Product a household bought from the product market: Coffee and other products from Starbucks stores
Revenue a business made from the product market: Starbucks Corporation's revenue from the sale of coffee and other products
A good or service a business provided to the product market: Starbucks Corporation's provision of coffee and other products to its customers
Circular Flow Diagram:
Households --> Product Market --> Business --> Resource Market --> Households
Which graph shows the line of best fit for the data ?
Answers
Answer:
Bottom left
Step-by-step explanation:
It covers the most points
What is the slope for y= 3/2x
Answers
Answer:
3/2
Step-by-step explanation:
y = mx+b where m is the slope. b is 0
Find the area of the triangle below.Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.14 km10 km| km?х15 km
Answers
Since all the sides of the triangle are known, it is better to use Heron's formula for finding the area.
Consider the sides of the triangle as,
\(\begin{gathered} a=10 \\ b=14 \\ c=15 \end{gathered}\)Solve for the semi-perimeter (s) as,
\(\begin{gathered} s=\frac{a+b+c}{2} \\ s=\frac{10+14+15}{2} \\ s=19.5 \end{gathered}\)Then according to the Heron's Formula, the area (A) of the triangle is given by,
\(A=\sqrt[]{s(s-a)(s-b)(s-c)}\)Substitute the values and simplify,
\(\begin{gathered} A=\sqrt[]{19.5(19.5-10)(19.5-14)(19.5-15)} \\ A=\sqrt[]{19.5\times9.5\times5.5\times4.5} \\ A=\sqrt[]{4584.9375} \\ A\approx67.7 \end{gathered}\)Thus, the area of the given triangle is 67.7 sq. km approximately.
B is the midpoint of AC. AB = 2x - 3, and AC = 5x - 11. Solve for BC.
Answers
Answer:
it all =22
Step-by-step explanation:
Boxes A, B and C contain 360g of sand altogether. 1/6
of sand in Box A is poured into Box B. 1/3
of sand in Box B is poured into Box C. 1/5
of sand in Box C is poured into Box A. There was an equal amount of sand in each box in the end. Find the amount of sand in each Box at first
Answers
The amounts of sand in Boxes A, B, and C at first were 110g, 40g, and 60g respectively.
Let x, y, and z be the amounts of sand in Boxes A, B, and C respectively.
From the given information, we can write the following equations:
1/6 x + 1/3 y = z (equation 1)
1/3 y + 1/5 z = x (equation 2)
1/5 z + 1/6 x = y (equation 3)
Adding all three equations, we get:
1/6 x + 1/3 y + 1/3 y + 1/5 z + 1/5 z + 1/6 x = x + y + z
Simplifying and rearranging terms, we get:
11/30 x + 11/15 y + 2/5 z = x + y + z
Solving for z, we get:
z = 6/11 x
Substituting this value of z in equation 1, we get:
1/6 x + 1/3 y = 6/11 x
Simplifying and solving for y, we get:
y = 4/11 x
Substituting the values of y and z in equation 2, we get:
1/3(4/11 x) + 1/5(6/11 x) = x
Simplifying and solving for x, we get:
x = 110g
Substituting the value of x in the expressions for y and z, we get:
y = 40g
z = 60g
Therefore, the amounts of sand in Boxes A, B, and C at first were 110g, 40g, and 60g respectively.
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