Answers
Answer:
BFD
Step-by-step explanation:
Supplementary angles add to 180, or will form a straight line.
< AFB and angle BFD will form a straight line so they are supplementary.
Related Questions
(q1) Find the length of the curve described by the function
Answers
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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A TV station is going to air a movie marathon with 8 movies. It will consist of 2 science fiction movies and 6 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after both of the science fiction movies). In how many ways can the station air the movie marathon?
Answers
Answer:
Total ways to run movies = 1,440
Step-by-step explanation:
Given:
Number of total movies = 8
Number of science fiction movie = 2
Number of horror fiction movie = 6
Find:
Total ways to run movies.
Computation:
Number of science fiction movies way air = 2!
Number of science fiction movies way air = 2×1
Number of science fiction movies way air = 2
Number of horror fiction movies way air = 6!
Number of science fiction movies way air = 6×5×4×3×2×1
Number of science fiction movies way air = 720
Total ways to run movies = 2 × 720
Total ways to run movies = 1,440
A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a. Write the differential equation satisfied by y in terms of proportionality k.
b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days.
c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.
d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.
Answers
Answer:
The answer is shown below
Step-by-step explanation:
Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a)
\(\frac{dy}{dt}\ \alpha\ y(1-y)\)
\(\frac{dy}{dt}=ky(1-y)\)
where k is the constant of proportionality, dy/dt = rate at which the rumor spreads
b)
\(\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\\)
\(y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}\)
At t = 2, y = 40% = 0.4
c) At y = 75% = 0.75
\(y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days\)
6) What time will it be 17 hours and 53 minutes before 4:37 a.m.? Military time
Answers
Answer:
17:53=5:53pm
Step-by-step explanation:
mr jones told his students they each need half of a piece of paper calvin cut his piece of paper horizontally and mathew cut his piece of paper diagonally which student has the larger area on his half piece of paper
Answers
Answer:
Both
Step-by-step explanation:
After cutting the paper, both Calvin and Matthew have the same area. Calvin cut his into two rectangles that are each half the area of the original piece of paper. Matthew cut his paper into two equivalent right triangles that are also half the area of the original piece of paper.
I need help with this
Answers
Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
Answers
First, we need to calculate the daily interest rate:
Daily interest rate = APR / 365 = 0.0365 / 365 = 0.0001
For the first 10 days, the interest earned on $300 is:
Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 300 x 0.0001 x 10 = $0.30
For the next 10 days, the interest earned on $1200 is:
Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 1200 x 0.0001 x 10 = $1.20
For the last 10 days, the interest earned on $800 is:
Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 800 x 0.0001 x 10 = $0.80
Therefore, the total interest earned by Henry in November is:
Total interest = $0.30 + $1.20 + $0.80 = $2.30
Therefore, Henry earned $2.30 interest in November.
The vault shown is in the shape of a cube of each side is 2y^2 feet, find its volumeThe volume of the Wally is: Simplify
Answers
We have
Side of the cube is 2y^2 feet.
Then, The volume of a cube is given by
\(V=s^3\)Where s = side = 2y^2
So:
\(V=(2y^2)^3\)Apply the exponent law
\(\begin{gathered} V=2^3\cdot(y^2)^3 \\ V=8(y^2)^3 \end{gathered}\)Apply the property of exponents
\(V=8(y^{2\cdot3})\)Multiply
\(V=8(y^6)\)Answer: The volume is
\(8y^6\)What is the slope of the line
Answers
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
What is the approximate value of √77, to the nearest whole number?
Answers
So 9
Help me benjamin please
Answers
It is given:- 2 ten thousands, 5 thousands, 4 hundreds, 2 tens, 4 ones.
So, combining together,
20,000+5000+400+20+4
→ The number is 25,424
2.It is given:- 4 ten thousands, 3 thousands, 3 hundreds, 5 tens, 8 ones.
So combining together,
40,000+3000+300+50+8
→ The number is 43,358
3.It is given:- 1 ten thousands, 2 thousands, 4 hundreds, 1 tens, 5 ones.
So combining together,
10,000+2000+400+10+5
→ The number is 12,415
By Benjemin
Evaluate 1/5÷21/5 Give your answer as a mixed number in its simplest form.
Answers
Answer:
the answer is: 1/21 !!
ANSWER
1/5 ÷ 21/5
= 1/5 × 5/21
= 1/21
= 0/1/21
Therefore my answer is 0 whole number 1/21
Which is the correct statement
Answers
9514 1404 393
Answer:
C. there is no solution
Step-by-step explanation:
Andre's work is correct. There is no value of the variable that will make ...
2 = -2
a true statement. Hence, there is no solution.
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
Answers
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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Please help me answer this question, thanks!
Answers
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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What is the value of X
Answers
Answer:
30
Step-by-step explanation:
60+90=150
180-150=30
help meeee again ¾÷⅕ =
Answers
Answer:
decimal: 2.25
fraction: 9/4
Step-by-step explanation:
Answer:
Fraction: 15/4
Decimal: 3.75
Two investment portfolios are shown
Answers
In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10
How to solveThe formula to calculate the future value of an investment using simple annual interest is:
\(FV = PV * (1 + r)^n\)
where:
FV = Future Value
PV = Present Value (the initial investment)
r = interest rate per period
n = number of periods
For Portfolio A (7%):
\(FV_A = $5000 * (1 + 0.07)^5\)
= $5000 * 1.40255
= $7012.75
For Portfolio B (9%):
\(FV_B = $5000 * (1 + 0.09)^5\)
= $5000 * 1.53862
= $7693.10
In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10
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The Complete Question
Two investment portfolios are shown, Portfolio A with a return of 7% annually and Portfolio B with a return of 9% annually. If you invest $5000 in each portfolio, what will be the total value of each portfolio after 5 years?
Can some one help me
Answers
Answer:
Domain: All real numbers, except for x=4
Range: All real numbers
Step-by-step explanation:
There is no limit to how far either of the graphs go, so it will be infinite.
what is the population of nepal
Answers
29,136,808 people (2020)
Nepal 2020 population is estimated at 29,136,808 people at mid year according to UN data. Nepal population is equivalent to 0.37% of the total world population. Nepal ranks number 49 in the list of countries (and dependencies) by population.
Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?
Answers
Question 1 (1 point)
When simplified [9(7 – 3) + 13] - [11 - (6 + 9)] equals:
53
39
43
None of these
Answers
Answer:45
Step-by-step explanation:
[9(7-3)+13]-[11-(6+9)]
[9(4)+13]-[11-(15)]
[36+13]-[4]
49-4
45
Answer: The answer is 53
S(n) = 3n + 4, n = { 1, 2, 3, 4 }
Answers
Jack drives 175 miles in 2.5hrs. How far can he go in 4hr
Answers
Answer:
280 miles
Step-by-step explanation:
175/2.5
= 70
70 x 4
= 280
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Solve 5(2m + 1) − 3m = −16.
m equals negative 16 over 30
m equals negative 21 over 30
m = −3
m = −0.33
Answers
Answer:
m= -3
Step-by-step explanation:
5(2m+1)-3m=-16
5(2m)+5(1)-3m= -16
10m+5-3m= -16
7m+5= -16
-5. -5
7m= -21
/7. /7
m= -3
Hopes this helps please mark brainliest
And :-3
process:
5(2m + 1) - 3m = - 16
10m+5-3m=-16
7m=-16-5
m=-21/7
m=-3
Let f(x) = √ 36 − x 2 . Find the domain and the range of f(x). Write your answers in interval notation.
Answers
Answer:
30 x z
Step-by-step explanation:
Answer: 30 x z
Step-by-step explanation:
HELP!
The graph shows the solutions to inequalities y > 3/2x - 2 and y < 3/2x - 10. Does the system of inequalities have solutions? If so, which region contains the solutions?
Answers
Answer:
A. There is no solution
Step-by-step explanation:
The shaded regions do not overlap. The solution space is in the region of overlap, so there is no solution.
A builder buys 27.5 acres of land to develop a new community of homes and parks.
IS
Part 1
Х
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?
He will use 20.625
acres for the park.
Part 2 out of 2
He buys a second property that has 0.78 times as many acres as the first property. How many acres of
land are in the second property?
The second property has
acres of land,
✓ Check
Next
Answers
The amount of the area of the home used and the total area of the second property are 26.25 acres and 20.625 acres respectively.
Total land area = 27.5 acres Amount of land used for park = 0.75 acresThe amount of land to be used for a home is the difference between the total land area and the area to be used for land :
27.5 acres - 0.75 acres = 26.25 acresLand Area of second property = 0.78 times the land ares
Second property = 27.5 × 0.78 = 20.625 acresTherefore, the total area of the second property is 20.625 acres.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer: D (t−3)(t−5)(t+4)
Step-by-step explanation:
Hope this helps! :)