Which one of the following is not a power equation?
p= v2/r= vxi
p= v2xi p= i2xr
The equation that is not a power equation is p = v²×i
Power equationsFrom the question, we are to determine which of the given equations is not a power equation
Where the Voltage, V, and the Current, I, are given, the power, P is given by
P = IV
When the Voltage and the Resistance, R, are given
P = V²/R
When the Current and the Resistance are given,
P = I²R
∴ P = V²/R, P = IV, and P = I²R are power equations.
Hence, the equation that is not a power equation is p = v²×i
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Gale the birthday clown is blowing up a fun spherical shaped balloon at a constant rate of 100 cubic inches per minute. How fast is the radius increasing when the sphere contains 50 cubic inches of clown breath
Answer:
Step-by-step explanatio the way the question is phrased Is confusing
a researcher obtain a statistically significant r=-.91 when n=30. how would you report this?
A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.
The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.
The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.
To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.
Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.
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. Suppose that the utility function is u(c, l) = log(c) - - l (a) Explain the intuition behind this utility function. Does the person likes consump- tion c? What about leisure l? (b) Find the equation of an indifference curve given a level of utility I. (c) Find the Marginal Rate of Substitution. (d) Show the optimal consumption-labor choice using a plot with c in the y-axis and in the x-axis. (e) Find the optimal amount of consumption and leisure assuming that h = 1 and π = T = 0.
(a) The utility function u(c, l) = log(c) - l represents a person's preferences for consumption (c) and leisure (l). The logarithmic term log(c) indicates that the person derives satisfaction or enjoyment from consumption. A higher value of c leads to greater utility, suggesting that the person likes consumption. On the other hand, the negative term -l represents disutility or a cost associated with engaging in labor or reducing leisure time. The person values leisure and would prefer to have more of it. Overall, the utility function balances the desire for higher consumption with the cost of reduced leisure.
(b) To find the equation of an indifference curve given a level of utility I, we set the utility function equal to I and solve for c in terms of l. The equation is:
I = log(c) - l
(c) The Marginal Rate of Substitution (MRS) represents the rate at which a person is willing to trade one good (leisure) for another (consumption) while maintaining the same level of utility. It is calculated by taking the derivative of the utility function with respect to leisure and dividing it by the derivative with respect to consumption:
MRS = ∂u/∂l / ∂u/∂c
For the given utility function, the MRS is constant and equal to 1. This implies that the person is willing to trade one unit of leisure for one unit of consumption, maintaining the same level of satisfaction.
(d) The optimal consumption-labor choice can be determined by maximizing utility subject to constraints, such as budget constraints or time constraints. Without additional information or constraints, it is not possible to precisely plot the optimal consumption-labor choice on a graph.
(e) To find the optimal amount of consumption and leisure, additional information or constraints are needed. The values of h (hours available for labor) and π (income or wage rate) would be necessary to consider the budget constraint. Similarly, the value of T (total time available) would be needed to account for the time constraint. Without these constraints, it is not possible to determine the optimal consumption and leisure levels.
Note: Please provide the missing values of h, π, and T to proceed with the calculation of the optimal consumption and leisure levels.
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Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
Can someone help me please
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
Your parents have heard about your bush and would like to invest in it to help you earns as much money this summer possible. They decide to give you $100 towards your business. However there’s a catch. They want 10% of the money you make
If you mowed 10 lawns while charging $15 a lawn, how much would you have to pay your parents?
15 would you have to pay your parents.
Given,
In the question;
They decide to give you $100 towards your business. However there’s a catch. They want 10% of the money you make.
and, moved 10 lawns while charging $15 a lawn.
To find the how much to pay your parents?
Now, According to the question:
Based on the given conditions,
formulate;
15 x 10% x 10
Calculate
15 x 0.1 x 10
Rearrange by the Commutative Property
15 x (0.1 x 10)
= 15 x 1
= 15
Hence, 15 would you have to pay your parents.
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I need help wit math
Answer:
1/2
Step-by-step explanation:
Even numbers on the dice:
2, 4, 6
Probability of getting even:
3/6
1/2
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
A $10,000 Treasury bill earned 16% compounded monthly. If the bill matured in 2 years, what was it worth
at maturity?
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The treasury bill at maturity is worth $13,742.19.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $10,000
r = 16%
t = 2 years
n = 12
Now,
A = 10,000 \((1 + 0.16/12)^{24}\)
A = 10,000 \((1.0133)^{24}\)
A = $13,742.19
Thus,
The treasury bill at maturity is worth $13,742.19.
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Last week, a chocolate shop sold 5 ounces of white chocolate. It sold 1 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
Write your answer as a fraction or as a whole or mixed number.
Answer:
9.5
Step-by-step explanation:
in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity
In multiple regression analysis, the correlation among the independent variables is termed multicollinearity
Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.
It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.
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Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5. 6 meters,and a height of 7. 2 meters is about 334 cubic meters. Is her estimate reasonable?Explain your reasoning
Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.
The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
Substituting the given values in the formula, we get:
Volume = 11 meters x 5.6 meters x 7.2 meters
Volume = 449.28 cubic meters
As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.
It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.
In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
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A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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Find the coordinates of midpoint F.
(Enter answer in simplified form.)
A(-3a, b)
B3a b)
F= ([?],[])
Midpoint Formula : M = ()
Ca 5b
Answer:
The coordinates are (0,b)
Step-by-step explanation:
Here, we want to find the coordinates of the midpoint F
as we can see, F is between A and B
we proceed to use the midpoint formula
The midpoint formula is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
(x1,y1) = (-3a, b)
(x2,y2) = (3a, b)
The substitution of these values will thus yield;
(-3a + 3a)/2, (b + b)/2
= (0/2), (2b/2)
= (0, b)
please help its timed
-7x-2y=-13
x:−2y−13/7
y:-7x-13/2
x-2y = 11
x:2y+11
y:x-11/2
The star running back on our football team got most of his total yardage running. The rest was catching passes. He caught passes for 60 yards. His total yardage was 150 yards. The running back for the other team got 200 yards. How many yards did the star running back on our football team get running?
Answer: The other team is extra information. 150 – 60 = 90
He got 90 yards running.
Step-by-step explanation:
In ΔABC, the measure of ∠C=90°, the measure of ∠A=41°, and BC = 33 feet. Find the length of AB to the nearest tenth of a foot.
Answer: 50.30
Step-by-step explanation:
sin = 33
1 x
x(sin) = 33
sin 41 sin 41
x=50.30
A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?
A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second
Answer:
answer is C
average speed=distance÷time=120÷4=30
It’s this one and I’m done
Answer:
168 in
Step-by-step explanation:
Pythagoras says:
b² + 56² = 70²
so
b² = 70² - 56²
b = √1764 = 42
so the perimeter is 70+56+42 = 168
FAVORITE SUBJECT The four children in the Smith family each have a different favorite subject in school. Use the information given below to find out which subject each person likes best. Complete the chart. Mark an X in a square when it cannot be the answer. Mark an O to show the favorite subject 1. Math is not Bill's favorite subject. 2. Sue doesn't like to read. 3. Sally likes art better than writing. 4. Bob's favorite subject is math. 5. Sally likes reading better than art. BII prefers writing to art. Student Rsading Art Math Writing BIN Sally Bob Sue
Student Reading Art Math Writing
Bill X O X X
Sally O O X O
Bob X X O X
Sue X X X X
Based on the information given, Sally's favorite subject is either art or writing, but since she likes reading better than art, her favorite subject must be writing. Bob's favorite subject is math and Sue doesn't like any of the subjects listed, so we can mark X's for all subjects for her.
Bill's favorite subject cannot be math, so we mark an X for math. BII (assuming this is a typo and should be Bill) prefers writing to art, so we mark an O for writing and an X for art.
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what is an equivalent expression for 3a + 5 ?
Answer:
Equivalent expression:
6a + 10
or
9a + 15
please help!!!!!! emergency
a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.
Parameter are values that represents fixed characteristics of a population.
What is a parameter?
The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean. The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.
Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.
Hence, a parameter represents fixed characteristics of a population.
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The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30.TrueFalse
The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)
To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.
In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.
Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.
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What is 45.5% in simplest form?
Answer: 45.5/100 = 455/1000
Step-by-step explanation:
Step-by-step explanation:
45.5% in its simplest form is
\( \frac{91}{2} \)
but 45.5% =
\( \frac{91}{2} \ \times 100 = \frac{91}{200} \)
Suppose "n" can't equal 0 or 1. Show that substitution v=y^(1-n) transforms the Bernoulli equation dy/dx + P(x)y=Q(x)y^(n)into the linear equation dv/dx + (1-n)P(x)v(x)=(1-n)Q(x).
Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy
Step-by-step explanation:
3. Consider the following system: →0.85→0.85→ Determine the probability that the system will operate under each of these conditions: a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) b. Each system component has a backup with a probability of .85 and a switch that is 100 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places. c. Each system component has a backup with a probability of .85 and a switch that is 90 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)
a. The probability that the system will operate as shown is approximately 0.6141.
b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141
The probability that the system will operate as shown is approximately 0.6141.
b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:
Probability = 0.85 × 0.90 × 0.85
Probability ≈ 0.6485
The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
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help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1