Answer:
A. 3*6-4-4
Step-by-step explanation:
He starts with 3 rows of 6 eggs, which can be shown in the formula 3*6, and each time he is taking away 4 eggs and hew does that twice so the only logical explanation is A. 3 x 6 - 4 - 4.
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
https://brainly.com/question/26894404
#SPJ11
How many numbers from 2 through 100 can be expressed as p², where p is a prime number?
F. 4
G. 5
H. 7
J. 8
K. 9
HELP ME PLEASE ASAP !!!!
Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.
How is this so?Here is what we were given:
Side length of square = 6 > x <7
A convenient assumption for this is 6.5
We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5
we also know that the in between the line formed by D and C is a 90 degree angle.
Hence the sum of the other angle will be 45 degrees each.
This is based on sum of angles in a triangle.
Hence,
c = b /sin(β)
= 6.5/sin (45)
= 6.5/0.70710678118
c = 9.19
d = √c² - b²
= √(9.19238815542512² - 6.52²)
= √42.25
d = 6.5
Learn more about right triangles;
https://brainly.com/question/6322314
#SPJ1
making sure my answer is correct. 2/7 + 7/14
Answer:
9 /14
Step-by-step explanation:
Answer:
I got 11/14
Step-by-step explanation:
I found a common demoninator of 14 I multplied 2/7 by two to get 4/14 then added the two fractions together
4/14+7/14 would equal 11/14
Porque el 1 y el 20 no se consideran para formar grupos
El 1 y el 20 no se consideran para formar grupos debido a que tienen una propiedad especial en común. El número 1 es un elemento neutro en la multiplicación y el número 20 es un múltiplo común para todos los números del 1 al 20.
Por lo tanto, cualquier grupo que incluya 1 no afectará la multiplicación de los otros números del grupo y cualquier grupo que incluya 20 siempre tendrá un múltiplo común que lo hace irrelevante para la agrupación.
De esta manera, se evita la redundancia y se maximiza la eficiencia en la formación de grupos al resolver problemas de matemáticas o estadísticas.
the size of each interior angle of a regular polygon
Answer:
144°
Step-by-step explanation:
To find the measure of an interior angle of a regular polygon, we use the formula for each angle = (n - 2) × 180 / n. The formula calculated is only valid in cases of regular-sided polygons. Hope this help have a great dya and tell me if im wrong :)
i know its just 12 points but here
Answer: ;)
Step-by-step explanation:
<333
: Which of the following statement is most likely to be true? O The future value factor is always greater than 1, given that r>0. The future value factor is always greater than 1, given that r<0. The present value factor is always less than 1, given that r<0. The present value factor is always greater than 1, given that
The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."
The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.
Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.
Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.
Learn more about factor here:
brainly.com/question/14549998
#SPJ11
Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone know I’m stuck
Answer:
400 seconds
Step-by-step explanation:
150/20=7.5 meters per second
3000/7.5=400 seconds
Priya will take 400 seconds to cover distance of 3,000 meters.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
Distance covered by Priya in 20 seconds = 150 meters.
The speed of Priya = 150 / 20 = 15/2 meters per second
To find the time to cover the distance of 3,000 meter,
Use formula,
Time = distance / speed
Time = 3,000 / (15/2)
Time = 400 seconds
To cover 3,000-meter distance, Priya will take 400 seconds.
To know more on Speed on:
https://brainly.com/question/4926312
#SPJ2
3. Jeff Hittinger is a founder and brewmaster of the Octonia Stone Brew Works in Ruckersville, Virginia. He is contemplating the purchase of a particular type of malt (that is, roasted barley) to use in making certain types of beer. Specifically, he wants to know whether there is a simple linear regression relationship between the mashing temperature (the temperature of the water in which the malted barley is cooked to extract sugar) and the amount of maltose sugar extracted. After conducting 12 trials, he obtains the following data, expressed in terms of (temperature in Fahrenheit, maltose sugar content as a percentage of the total sugar content in the liquid):
(155,25),(160,28),(165,30),(170,31),(175,31),(180,35),(185,33),(190,38),(195,40),
(200,42),(205,43),(210,45)
(a) Calculate the least squares estimators of the slope, the y-intercept, and the variance based upon these data. (b) What is the coefficient of determination for these data? (c) Conduct an upper-sided model utility test for the slope parameter at the 5% significance level. Would you reject the null hypothesis at that significance level?
a) The least square estimator is 2.785221. b) The coefficient of determination is 0.9960514. c) We would reject the null hypothesis at the 5% significance level.
To calculate the least squares estimators of the slope, the y-intercept, and the variance, we can use the method of simple linear regression.
(a) First, let's calculate the least squares estimators:
Step 1: Calculate the mean of the temperature (x) and maltose sugar content (y):
X = (155 + 160 + 165 + 170 + 175 + 180 + 185 + 190 + 195 + 200 + 205 + 210) / 12 = 185
Y = (25 + 28 + 30 + 31 + 31 + 35 + 33 + 38 + 40 + 42 + 43 + 45) / 12 = 35.333
Step 2: Calculate the deviations from the means:
xi - X and yi - Y for each data point.
Deviation for each temperature (x):
155 - 185 = -30
160 - 185 = -25
165 - 185 = -20
170 - 185 = -15
175 - 185 = -10
180 - 185 = -5
185 - 185 = 0
190 - 185 = 5
195 - 185 = 10
200 - 185 = 15
205 - 185 = 20
210 - 185 = 25
Deviation for each maltose sugar content (y):
25 - 35.333 = -10.333
28 - 35.333 = -7.333
30 - 35.333 = -5.333
31 - 35.333 = -4.333
31 - 35.333 = -4.333
35 - 35.333 = -0.333
33 - 35.333 = -2.333
38 - 35.333 = 2.667
40 - 35.333 = 4.667
42 - 35.333 = 6.667
43 - 35.333 = 7.667
45 - 35.333 = 9.667
Step 3: Calculate the sum of the products of the deviations:
Σ(xi - X)(yi - Y)
(-30)(-10.333) + (-25)(-7.333) + (-20)(-5.333) + (-15)(-4.333) + (-10)(-4.333) + (-5)(-0.333) + (0)(-2.333) + (5)(2.667) + (10)(4.667) + (15)(6.667) + (20)(7.667) + (25)(9.667) = 1433
Step 4: Calculate the sum of the squared deviations:
Σ(xi - X)² and Σ(yi - Y)² for each data point.
Sum of squared deviations for temperature (x):
(-30)² + (-25)² + (-20)² + (-15)² + (-10)² + (-5)² + (0)² + (5)² + (10)² + (15)² + (20)² + (25)² = 15500
Sum of squared deviations for maltose sugar content (y):
(-10.333)² + (-7.333)² + (-5.333)² + (-4.333)² + (-4.333)² + (-0.333)² + (-2.333)² + (2.667)² + (4.667)² + (6.667)² + (7.667)² + (9.667)² = 704.667
Step 5: Calculate the least squares estimators:
Slope (b) = Σ(xi - X)(yi - Y) / Σ(xi - X)² = 1433 / 15500 ≈ 0.0923871
Y-intercept (a) = Y - b * X = 35.333 - 0.0923871 * 185 ≈ 26.282419
Variance (s²) = Σ(yi - y)² / (n - 2) = Σ(yi - a - b * xi)² / (n - 2)
Using the given data, we calculate the predicted maltose sugar content (ŷ) for each data point using the equation y = a + b * xi.
y₁ = 26.282419 + 0.0923871 * 155 ≈ 39.558387
y₂ = 26.282419 + 0.0923871 * 160 ≈ 40.491114
y₃ = 26.282419 + 0.0923871 * 165 ≈ 41.423841
y₄ = 26.282419 + 0.0923871 * 170 ≈ 42.356568
y₅ = 26.282419 + 0.0923871 * 175 ≈ 43.289295
y₆ = 26.282419 + 0.0923871 * 180 ≈ 44.222022
y₇ = 26.282419 + 0.0923871 * 185 ≈ 45.154749
y₈ = 26.282419 + 0.0923871 * 190 ≈ 46.087476
y₉ = 26.282419 + 0.0923871 * 195 ≈ 47.020203
y₁₀ = 26.282419 + 0.0923871 * 200 ≈ 47.95293
y₁₁ = 26.282419 + 0.0923871 * 205 ≈ 48.885657
y₁₂ = 26.282419 + 0.0923871 * 210 ≈ 49.818384
Now we can calculate the variance:
s² = [(-10.333 - 39.558387)² + (-7.333 - 40.491114)² + (-5.333 - 41.423841)² + (-4.333 - 42.356568)² + (-4.333 - 43.289295)² + (-0.333 - 44.222022)² + (-2.333 - 45.154749)² + (2.667 - 46.087476)² + (4.667 - 47.020203)² + (6.667 - 47.95293)² + (7.667 - 48.885657)² + (9.667 - 49.818384)²] / (12 - 2)
s² ≈ 2.785221
(b) The coefficient of determination (R²) is the proportion of the variance in the dependent variable (maltose sugar content) that can be explained by the independent variable (temperature). It is calculated as:
R² = 1 - (Σ(yi - y)² / Σ(yi - Y)²)
Using the calculated values, we can calculate R²:
R² = 1 - (2.785221 / 704.667) ≈ 0.9960514
(c) To conduct an upper-sided model utility test for the slope parameter at the 5% significance level, we need to test the null hypothesis that the slope (b) is equal to zero. The alternative hypothesis is that the slope is greater than zero.
The test statistic follows a t-distribution with n - 2 degrees of freedom. Since we have 12 data points, the degrees of freedom for this test are 12 - 2 = 10.
The upper-sided critical value for a t-distribution with 10 degrees of freedom at the 5% significance level is approximately 1.812.
To calculate the test statistic, we need the standard error of the slope (SEb):
SEb = sqrt(s² / Σ(xi - X)²) = sqrt(2.785221 / 15500) ≈ 0.013621
The test statistic (t) is given by:
t = (b - 0) / SEb = (0.0923871 - 0) / 0.013621 ≈ 6.778
Since the calculated test statistic (t = 6.778) is greater than the upper-sided critical value (1.812), we would reject the null hypothesis at the 5% significance level. This suggests that there is evidence to support a positive linear relationship between mashing temperature and maltose sugar content in this data set.
To learn more about least square estimator here:
https://brainly.com/question/31481254
#SPJ4
give answer ☜
fast
ಠᴥಠ
Answer:
Question a:
\(\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3\)
Question b:
\(\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}\)
Question c:
Note that this one is particularily simple as anything to the power of zero is equal to 1
\(((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1\)
Question d:
\(\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}\)
The ad for White House applesauce cups describes how the product provides 100 percent of your daily Vitamin C in every cup. What kind of an advertising appeal is this ad using
The advertising appeal used in this ad is a health appeal. The ad promotes the nutritional value of White House applesauce cups by highlighting that they provide 100% of daily Vitamin C in every cup.
This appeal focuses on the health benefits of the product, suggesting that consuming it will be good for one's well-being.
By emphasizing the nutritional value of the product, this appeal targets consumers who are concerned about their health and wellness. It suggests that by choosing White House applesauce cups, consumers can ensure they are getting an important nutrient without having to consume additional supplements or make other changes to their diet.
Overall, health appeals are a powerful marketing technique, as many people prioritize their health and are willing to pay more for products that they perceive as being beneficial for their well-being. By using this appeal, the ad for White House applesauce cups seeks to influence consumers to purchase the product based on its perceived health benefits.
Learn more about advertising here:
https://brainly.com/question/32251098
#SPJ11
Tim wants to watch 23 seasons of a series, each season has 11 episodes and each episode is 11 minutes, how many minutes does he have to watch of the series?
Answer: 2783 minutes
Step-by-step explanation:
Answer:
2783
Step-by-step explanation:
Since there is 11 episodes in each season and there is 23 seasons we multiply and get 253 so 253 episodes and each one has 11 minutes so 11 x 253 which is 2783
A line passes through the points (0, 4) and (1, 9). What is its equation in slope-intercept
Answer:
y=5x+4
Step-by-step explanation:
First get slope:
(4-9)/(0-1) = -5/-1 = 5
The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).
The y-intercept is 4.
y = mx +b, m is slope and b is the intercept.
y = 5x +4
a 10 foot ladder is standing vertically against the side of a house. the base of the ladder is pulled away from the side of the house at the rate of 1 foot per second. how fast will the top of the ladder by falling down the side of the house 1 second after the base begins being pulled away from the house? after 3 seconds? after 8 seconds?
The top of the ladder will be falling down the side of the house at a rate of approximately 0.1005 feet per second after 1 second, 0.3145 feet per second after 3 seconds, and 1.3333 feet per second after 8 seconds.
These rates can be calculated using the Pythagorean theorem and differentiation to find the rate of change of the hypotenuse with respect to time. Specifically, if x represents the distance of the base of the ladder from the house and y represents the height of the ladder on the side of the house, then we have
x^2 + y^2 = 10^2
and we can differentiate both sides with respect to time to obtain
2x(dx/dt) + 2y(dy/dt) = 0
Solving for dy/dt, we get
dy/dt = -(x/y)(dx/dt)
Substituting dx/dt = 1 ft/s, x = t and y = √(10^2 - x^2) = √(10^2 - t^2), we can then evaluate dy/dt at t = 1, 3, and 8 to obtain the desired rates.
dy/dt = -t/ √(10^2 - t^2)
t = 1 : dy/dt = -1/ √(10^2 - 1^2) = -0.1005ft/s
t = 3: dy/dt = -3/ √(10^2 - 3^2) = -0.3145ft/s
t = 8: dy/dt = -8/ √(10^2 - 8^2) = -1.3333ft/s
To know more on differentiation
https://brainly.com/question/24062595
#SPJ4
HELP PLEASE! Solve and show work.
4x + 6 < -6
Answer:
Step-by-step explanation:
1. 4x+6<-6
2. 4x<-6-6
3. 4x<-12
4. x<-12/4
5. x<-3
6. The answer is x < -3.
Find the product of 1/2 * 3 1/4 * 1 1/2.
Please help I'm not really good at these.
Answer:
2 7/16
Step-by-step explanation:
1/2*13/4=13/8
13/8*3/2=39/16
39/16=2 7/16
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
please help with this. it’ll mean so much. it’s for my final gradeee
1) Since the value of y varies directly with x, we can write
y=kx Plugging into that
-8 = k(4)
-8 = 4k Divide both sides by 4
k =-2
2) When x = -4 then we can find y by plugging into that
y = kx
y = (-2)(-4)
y = 8
3) Hence, the answer is 8
Rick paddled up the river, spent the night camping, and then paddled back. He spent 14 hours paddling, and the campground was 52 miles away. If Rick kayaked at a speed of 8 miles per hour, what was the speed of the current?
Given:
Number of hours, t = 14 hours
Distance = 52 miles
Speed travelling = 8 mph
Let's find the speed of the current.
Apply the formula:
\(\begin{gathered} \text{ speed=}\frac{distnace}{time} \\ \\ time=\frac{distance}{speed} \end{gathered}\)Here, we have the system of equations:
For time travelling up: 14 = 52/8-c
For time travelling down: 14 = 52/8 + c
Where c is the speed of the current.
Hence, we have:
\(\frac{52}{8-c}+\frac{52}{8+c}=14\)Let's solve the equation for c.
Multiply all terms by (8-c)(8+c):
\(\begin{gathered} \frac{52}{8-c}(8-c)(8+c)+\frac{52}{8+c}(8-c)(8+c)=14(8-c)(c+c) \\ \\ 52(8+c)+52(8-c)=14(8-c)(8+c) \end{gathered}\)Solving further, expand using FOIL method and apply distributive property:
\(\begin{gathered} 52(8)+52c+52(8)-52c=14(64-c^2) \\ \\ 416+52c+416-52c=896-14c^2 \\ \\ 416+416+52c-52c=896-14c^2 \\ \\ 832-896=-14c^2 \\ \\ -64=-14c^2 \end{gathered}\)Solving further:
Divide both sides by -14
\(\begin{gathered} \frac{-64}{-14}=\frac{-14c^2}{-14} \\ \\ 4.57=c^2 \\ \\ c^2=4.57 \\ \\ \text{ Take the square root of both sides:} \\ \sqrt{c^2}=\sqrt{4.57} \\ \\ c=2.14 \end{gathered}\)Therefore, the speed of the current was 2.14 miles per hour.
ANSWER:
2.14 mph
find the ratio of the area of the first figure to the area of the second.
36:16
6:4
3:2
9:4
1. Four more than a number.
er bronto tngitoup et .I
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room.
Answer:
Length = 25 cmBreadth = 10 cmStep-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be '\(2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x\)'
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = \(2(l + b)\)
plug the values
\(70 = 2(2.5x + x)\)
Collect the like terms
\(70 = 2 \times 3.5x\)
Calculate the product
\(70 = 7x\)
Swap the sides of the equation
\(7x = 70\)
Divide both sides of the equation by 7
\( \frac{7x}{7} = \frac{70}{7} \)
Calculate
\(x = 10 \: cm\)
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = \(2.5x\)
Plug the value of X
\( = 2.5 \times 10\)
Calculate the product
\( = 25 \: cm\)
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
Please help me. In the figure below, FG = 15 and GH=7. Find FH.
Answer:
FH=22
Step-by-step explanation:
FGH is all one line, with FG being 15 units long and GH being 7 units long.
The distance from F to H is the two values added together.
FG+GH=FH
15+7=22
FH=22
Required information Problem 18.67 (LO 18-5) (Algo) (The following information applies to the questions displayed below] Nail Corporation mode a distribution of $555.440 to Rusty in partial l quidation of the company on December 31 of this year. Rusty, on individual, owns 100 percent of Nail Corporotion. The distribution was in exchange for 50 percent of Rusty's stock in the compony. At the time of the distribution, the shores had a falr merket value of 5212 . per share. Rusty's tox basis in the shores was $50 per shore. Nail had total E\&P of $8.395.000 at the time of the distribution. Problem 18-67.Part a (Algo) a. Whot are the amount and character (copital gain or dividend) of any income or gain recognized by Rusty becsuse of the partial liquidation?
Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.
To determine the amount and character of the income or gain recognized by Rusty due to the partial liquidation, we need to compare the distribution received to Rusty's stock basis and the fair market value of the shares.
In this case, Nail Corporation distributed $555,440 to Rusty in exchange for 50% of his stock in the company. The fair market value of the shares at the time of the distribution was $212 per share, and Rusty's tax basis in the shares was $50 per share.
First, we calculate the total tax basis in the shares Rusty exchanged:
Tax basis = Number of shares exchanged * Tax basis per share
Tax basis = 50% * Tax basis per share
Tax basis = 50% * $50 = $25
Next, we calculate the gain on the exchange by subtracting the tax basis from the fair market value of the shares:
Gain on exchange = Fair market value of shares - Tax basis
Gain on exchange = $212 - $25 = $187
Since the distribution was made in exchange for Rusty's stock, the gain of $187 recognized by Rusty in the partial liquidation is treated as a capital gain.
Therefore, Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.
Learn more about liquidation here
https://brainly.com/question/31237546
#SPJ11
Evaluate the function.
f(x)= - x^2 - 10x
find f(-5)
Answer:
f(- 5) = 25
Step-by-step explanation:
To evaluate f(- 5) , substitute x = - 5 into f(x) , that is
f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25
Which theorem is used to prove this triangle is congruent! ?? I’ll give brainliest to whoever answers first!
Answer:
SAS
Step-by-step explanation:
I don't know how to explain sorry :( I just do it, I do not ever show my work, but I am always wright :)
A car is driving down from the top of a Colorado mountain. The elevation is 13,500 feet. Every minute of driving, the car's elevation decreases by 150 feet. Let x be the time in minutes that the car has been driving down the mountain , E(x) = -150x+13,500. Evaluate E(5), and explain the meaning of the answer in terms of the car.
Answer:
Step-by-step explanation:
Given the rate at which the car elevation decreases expressed by the function
E(x) = -150x+13,500 where x is in minutes.
To evaluate E(5), we will substitute the variable x = 5 into the function as shown;
E(5) = -150(5)+13,500.
E(5) = -750+13,500.
E(5) = 13500-750
E(5) = 12750
This means that after 5minutes, the car elevation has decreased by 12,750feet
solve the inequality
x/4 - 2x/4>-3
Answer:
x<12
Step-by-step explanation:
Step 1: Simplify both sides
-1/4x > -3
Step 2: Multiply both sides by 4/-1
(4/-1) * (-1/4) > (4/-1) * (-3)
Final Conclusion: [x < 12]
Find the derivative of the function. y = 10 1+6e-0.9t y' = 10-1 0.9t 2 BURU 1 + 6e 0+6e-0.9t - 0.9 X
To find the derivative of the function y = 10/(1 + 6e^(-0.9t)), we can use the quotient rule of differentiation.
The quotient rule states that if we have a function of the form f(x) = g(x)/h(x), then the derivative of f(x) is given by:
f'(x) = (g'(x)h(x) - g(x)h'(x)) / (h(x))^2
Applying the quotient rule to the given function:
y = 10/(1 + 6e^(-0.9t))
Let g(t) = 10 and h(t) = 1 + 6e^(-0.9t)
Now, let's find the derivatives of g(t) and h(t):
g'(t) = 0 (since g(t) is a constant)
h'(t) = -6 * (-0.9) * e^(-0.9t) = 5.4e^(-0.9t)
Now, substitute the derivatives into the quotient rule formula:
y' = (g'(t)h(t) - g(t)h'(t)) / (h(t))^2
= (0 * (1 + 6e^(-0.9t)) - 10 * 5.4e^(-0.9t)) / (1 + 6e^(-0.9t))^2
= (-54e^(-0.9t)) / (1 + 6e^(-0.9t))^2
Therefore, the derivative of the function y = 10/(1 + 6e^(-0.9t)) is y' = (-54e^(-0.9t)) / (1 + 6e^(-0.9t))^2.
To know more about function visit-
brainly.com/question/1548810
#SPJ11
A bag contains 2 black balls, 4 yellow balls and 4 white balls. Event A is defined as drawing a white ball on the first draw and event B is defined as drawing a black ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.
Answer: \(P(B|A)=\dfrac{4}{9}\)
Step-by-step explanation:
Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.
Event A is defined as drawing a white ball on the first draw.
Event B is defined as drawing a black ball on the second draw.
P(B|A) is expressed as the conditional probability of occurring B given that A.
i.e. it is the probability of happening B where A is already happended.
If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.
\(Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}\)
Then, \(P(B|A)=\dfrac{4}{9}\)
Answer:
C.) 2/9
Step-by-step explanation:
4/9 CAN SIMPLIFY INTO 2/9
4 / 2 = 2
BRAINEST PLEASE