Answer:
12
Step-by-step explanation:
12^8 = 429981696
12^7 = 35831808
429981696 ÷ 35831808
= 12.
the way to explain is by looking the the powers (8 and 7).
(12^8) ÷ (12^7) = 12^(8-7) = 12^1 = 12.
simplify (8^4)-^16
A 8^-64
b 8^-20
c 8-^12
D 8-^4
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
Learn more about Equilibrium
brainly.com/question/30694482
#SPJ11
A moving company charges $400 plus $0.04 per kg to move a family from Toronto to
Windsor.
a) Define the independent variable and the dependent variable.
b) Write an equation.
c) Use your equation to calculate a table of values with four sets of values to show the
moving costs for 0 – 25,000 kg.
a) Number of kgs independent variable, the amount charged by the company is the dependent variable.
b) The equation is y= 400+ 0.04x.
c) The equation is used to calculate a table of values with four sets of values to show the moving costs for 0 – 25,000 kg.
What is an equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
It is given that a moving company charges $400 plus 0.04 per kg to move a family from Toronto to Windsor.
a) The number of kgs is the independent variable and the amount charged by the company is the dependent variable because it depends on the number of kgs the family is willing to move.
b) The equation that represents the given data is y= 400+ 0.04x
where y is the total amount charged by the company, and x is the number of kgs.
c) For 4 different values of x between 0 - 25,000 we will find values of y.
x y= 400+ 0.04x
6250 650
12500 900
18750 1150
25000 1400
To learn more about total amount calculation problems, refer to the link below:
brainly.com/question/30183312
#SPJ1
B
SIS
M
If = of the pie below is eaten,
what fraction remains?
Answer:
the answer to this question is 1/4
Answer:
jgcoyc9t9yf9ycrcuflc
I WILL GIVE BRAINLIEST PLEASE!!! A cereal company is having a special promotion. Every 4 out of 65 boxes contains a coupon for half off your next box of cereal. Suppose 455 boxes of the cereal are delivered to a grocery store. How many of them can be expected to contain one of the coupons? Set up and solve a proportion to solve the problem. Show your work. (Please help me.)
Answer:
28
Step-by-step explanation:
4/65 then ?/455
divide 455 by 65 to get 7
4/65=4x7/65x7(455)
4/65=28/455
therefore there are 28 boxes with the coupon out 455
help meee will mark brainliest
Answer:
I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.
Calculating permutations can be used in all of following except _____.
seating arrangements at a wedding
survey results
assisting computer programmers
placing items into a display
Answer:
Option C,
Calculating permutations can be used in all of following except assisting computer programmers
Step-by-step explanation:
Permutations is basically used in cases where there is some sort of patterning involved in it.
In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.
Hence, option C
Answer:
survey results
Step-by-step explanation:
I got it right
what is the difference written in scientific notation 0.00067 - 2.3 x 10 to the -5 power
Answer:
6.43 × 10^-4 or 0.000643
Step-by-step explanation:
0.00067 - 2.3 × 10^-5 = 6.7 × 10^-4 - 2.5 × 10^5
6.7 × 10^-4 = 67 × 10^-5
67 × 10^-5 - 2.3 × 10^-5 = 64.3 × 10^-5 = 6.43 × 10^-4
10. why does it matter to have derivative positions classified as qualified hedges?
The answer to why it matters to have derivative positions classified as qualified hedges is that it allows companies to receive special accounting treatment under Generally Accepted Accounting Principles (GAAP).
An for this is that when a derivative is designated as a qualified hedge, changes in its fair value are recorded in other comprehensive income (OCI) rather than immediately impacting earnings. This can help to smooth out earnings volatility and provide a more accurate reflection of a company's underlying business performance.
However, achieving qualified hedge accounting status requires meeting specific criteria set by GAAP, such as demonstrating that the derivative is highly effective in offsetting the risk being hedged. This may require additional documentation and testing, leading to a more long answer for companies seeking to achieve this status.
Overall, having derivative positions classified as qualified hedges can be beneficial for companies in terms of managing risk and providing more accurate financial reporting, but it requires careful consideration and compliance with GAAP requirements.
To know more about derivatives visit:
https://brainly.com/question/25324584
#SPJ11
Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above
5+(-18x+15)5 + (-18x +15)5
5+ (-90x +75) + (-90x + 75)
-180x +155
let's see the alternatives:
a) -2000x - 2018 -> -200x - 201,8
b) -30x - 33 -> -180x -198
c) none of the above
so, c is the right one
hope it helps :)
Answer:
ITS C
Step-by-step explanation:
Which of the following is an odd function?
After solving we can conclude that (c) f(x) = -x is an odd function.
What is an odd function?If -f(x) = f(-x), then a function f is said to be odd for all values of x.
When taking into account additive inverses, the functions even and odd are those that satisfy particular symmetry relations.
They are crucial to understanding power, the Fourier series, and mathematical analysis.
So, (a) f(x) = x³ + 5x² + x:
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
Neither even nor odd describe the function.
(b) f(x) = x² + x
f(-x) = (-x)² + (-x)
= -(-x² + x)
Neither even nor odd describe the function.
(c) f(x) = -x
f(-x) = -(-x)
= x
= -f(x)
f(-x) = -f(x) makes the function odd.
Therefore, after solving we can conclude that (c) f(x) = -x is an odd function.
Know more about an odd function here:
https://brainly.com/question/4111820
#SPJ1
Complete question:
Which of the following is an odd function?
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Question content area top Part 1 Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form. ( 8,4 ); parallel to 8x-y=6
To write the equation of a line passing through the point (8,4) and parallel to 8x-y=6, we need to first find the slope of the given line. We can rewrite the given line in slope-intercept form y=8x-6, where the slope is 8.
Since the new line is parallel to the given line, it will have the same slope of 8. Now we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Substituting in the values, we get:
y - 4 = 8(x - 8)
Expanding and simplifying, we get:
y = 8x - 60
This is the equation of the line in slope-intercept form.
To convert it to standard form, we move all the variables to one side and simplify:
-8x + y = -60
This is the equation of the line in standard form.
Learn more about passing here:
https://brainly.com/question/14367742
#SPJ11
What is the magnitude of ?
V
(9,-4)
Answer:
The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.
Step-by-step explanation:
hope it help
Answer:
9.85
Step-by-step explanation:
|v|= √9²+(-4)²
=√81+16
=√97
|v|= 9.85
Which of the following relations ia a function?
A
{(0,1), (0,2), (0,3), (0,4)}
B
{(1,6), (1,7), (7,8), (8,9)}
С
{(2,3), (3,2), (2,4), (4,2)}
D
{(1,1), (3,2), (6,3), (8,4)}
Answer:
i think the answer is c. hope it helps <3
Step-by-step explanation:
Anthony can ride his bike at 15 miles per hour, How many miles will he travel in 22 minutes
Answer: 4
Step-by-step explanation:
60(hour) divided by 15
suppose we are testing the independence of two variables a and b. a has 6 levels (rows) and b has 4 levels (columns). how many degrees of freedom does the chi-square test statistic for the test of independence have?
The degrees of freedom for the chi-square test statistic for the test of independence: 15
In this question we have been given we are testing the independence of two variables a and b. a has 6 levels (rows) and b has 4 levels (columns).
We need to find the degrees of freedom the chi-square test statistic for the test of independence have.
We know that the formula for degrees of freedom for chi square test of independence would be the (rows -1) x (columns -1)
Here, number of rows = 6
and the number of columns = 4
So, the degrees of freedom for the chi-square test statistic for the test of independence:
df = (rows -1) x (columns -1)
df = (6 -1) x (4 -1)
df = 5 x 3
df = 15
Therefore, the degrees of freedom = 15
Learn more about the degrees of freedom here:
https://brainly.com/question/16254305
#SPJ4
Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?
Answer:
1.36
Step-by-step explanation:
9.52/7
1.36 is the length of one of the 7 equal pieces
help i don't understand
Tameca already has $55
dollars in her savings account. If
she puts $5 per week in her
account, write and solve an inequality
inequality to find out how man
weeks she must save to have a
least $100 in her account.
Answer:
5x+55=100
Step-by-step explanation:
The graph of y = 4x? - 4x - 1 is shown.
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x - 1 = 0
1%C
ii) 4x2 - 4x - 1 = 2
Then the two solutions are: x = (4 + 5.66) / 8 = 11.2075 and x = (4 - 5.66) / 8 = -0.2075
What is meant by Bhaskara's equation?The sine approximation formula of Bhaskara I is a rational equation in one variable for computing the approximations of the trigonometric sines found by Bhaskara I (c. 600–c. 680), an Indian mathematician of the seventh century.
Indian astronomer and mathematician Bhaskara II lived in the 12th century. He created a number of the same foundations and findings that are entirely attributable to Europeans and are still very helpful in modern science and forecasts, such as a basic form of calculus.
Here we have the equation:
y = 4 × x² - 4 × x - 1
And the graph should be available (you can see it below this answer)
Now, we're seeking answers to:
4 × x²- 4 × x - 1 = 0
The two x values at which the graph of our function intersects the y = 0 line, or the x-axis, will be these solutions.
The next step is to identify the two x values where our graph crosses the x-axis.
We can estimate the solutions in the graph as follows:
x = -0.2
x = 1.2
The Bhaskara's equation can be used to determine the precise solutions, and we will discover that the solutions are provided by:
\($x=\frac{-(-4)+-\sqrt{(-4)^2-4 * 4 *(-1)}}{2 * 4}=\frac{4+-\sqrt{32}}{8}=\frac{4+-5.66}{8}\)
Then the two solutions are:
x = (4 + 5.66) / 8 = 11.2075
x = (4 - 5.66) / 8 = -0.2075
To learn more about Bhaskara's equation, refer to:
https://brainly.com/question/24334139
#SPJ1
Please help with all of these really really appreciate it please hurry please thank you
Answer:
5) https://imgur.com/WXtRJkj
6) https://imgur.com/USaH7PO
7) y = x
Step-by-step explanation:
(1,1) and (5,5)
m= (y2-y1)/(x2-x1)
m= (5-1)/(5-1)
m= 4/4
m=1
y - y1= m(x - x1)
y -1= 1(x -1)
y-1= x - 1
y = x
A red die and a blue die are rolled at the same time. What is the probability that the red die lands on a 5 and the blue die lands on a prime number?
Answer:
There are six possible outcomes when rolling a die, and three of them are prime numbers (2, 3, and 5). Therefore, the probability of rolling a prime number on a single die is 3/6, or 1/2.
The probability of rolling a 5 on the red die is 1/6, since there is only one face with a 5 out of the six faces.
To find the probability that the red die lands on a 5 and the blue die lands on a prime number, we need to multiply the probabilities of these two events occurring:
P(red die lands on 5 AND blue die lands on prime number) = P(red die lands on 5) x P(blue die lands on prime number)
P(red die lands on 5 AND blue die lands on prime number) = (1/6) x (1/2)
P(red die lands on 5 AND blue die lands on prime number) = 1/12
Therefore, the probability that the red die lands on a 5 and the blue die lands on a prime number is 1/12 or approximately 0.083 or 8.3%.
A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?
Answer:
19.4
Step-by-step explanation:
Perimeter = 53 feet
P = 2L + 2H
L = 7.1 feet
2L + 2W = 53 feet
2*7.1 + 2w = 53
14.2 + 2w = 53
2W = 53 - 14.2
2W = 38.8
W = 38.8/2
W = 19.4
H = 19.4
100 out of 85 delinquent and 45 are resolved. What percentage of the customer that are now late?
hi
how are yall im great and fine
When does a limit exist.
Answer:
In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.
Step-by-step explanation:
10. A box contains five and two-thirds cups of rice. If three fourths of the rice will
be used, how many cups of rice remained in the box?
14
D.
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.
The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:
5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups
Now, we can find three-fourths (3/4) of 17/3:
(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
Learn more about three-fourths here
https://brainly.com/question/16953584
#SPJ11
Please give me the correct answer
Answer:
(-3,-2)
Step-by-step explanation:
If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.
After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175. Assume the population standard deviation is $7,400. Suppose that a random sample of 69 USC students will be taken from this population.
(a)
What is the value of the standard error of the mean? (Round your answer to the nearest whole number.)
$
(b)
What is the probability that the sample mean will be more than $27,175?
(c)
What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.)
(d)
What is the probability that the sample mean will be within $1,000 of the population mean if the sample size were increased to 100? (Round your answer to four decimal places.)
a) The standard error of the mean value is 890.
b) 0.5 is the probability that the sample mean will be more than $27,175.
c) \(11%\) of the population means being within \($1,000\) of the sample mean.
d) The population mean is \(71%.\) .
(a) The formula for calculating the standard error of the mean (SE) is as follows:\(SE = / sq rt(n),\) where n is the sample size and is the population standard-deviation.
Inputting the values provided yields:
\(SE = 7,400 sq/69 890\)
The standard error of the mean, rounded to the closest whole number, is \(890.\)
\(= 890\)
(b) We must standardize the sample mean using the following method in order to determine the likelihood that the sample mean will exceed \($27,175:\)
z is equal to\((x - ) / ( / sort(n)).\)
where n is the sample size, x is the sample mean, is the population standard deviation, and is the population mean (which is assumed to be equal to the sample mean because it is not provided).
We obtain the following by substituting the above values: \(z = (27,175 - 27,175) / (7,400 / sqrt(69)) = 0.\)
Obtaining a z-score of \(0\) or above has a \(0.5\) percent chance. As a result, there is a \(0.5\) percent chance that the sample mean will be higher than \($27,175.\)
\(= 0.5%\)
(c) To determine the likelihood that the sample-mean will be within \($1,000\) of the population mean, we must determine the z-scores for the interval's upper and lower boundaries, which are:
\(Z1\) is equal to\((27,175 - 27,175) / (7,400 / sqrt(69)) = 0 Z2\)is equal to \((27,175 + 1,000 - 27,175) / (7,400 / sqrt(69)) 0.14\) \(Z3\) is equal to\((27,175 - 1,000 - 27,175) / (7,400 / sqrt(69)) -0.14\)
The area under the curve between\(z2\) and \(z3\) can be calculated or found using a basic normal distribution table or calculator:
\(P(z2 z3 z2) = P(-0.14 z 0.14) 0.1096\)
Therefore,\(0.1096\), or about \(11%\), of the population means being within \($1,000\) of the sample mean.
\(= 11%\)
(d) If the sample-size were raised to \(100\), we would need to recalculate the standard error of the mean to determine the likelihood that the sample mean will be within \($1,000\) of the population mean:
\(SE = 7,400/7,400/sqrt(100) = 740.\)
We determine the z-scores for the upper and lower boundaries of the interval using the same technique as in (c)
\(z2 = (27,175 + 1,000 - 27,175) / (740) ≈ 1.35\)
\(z3 = (27,175 - 1,000 - 27,175) / (740) ≈ -1.35\)
Once more, we can calculate or use a conventional normal distribution table to get the area under the curve between\(z2\)and\(z3\):
\(P(z2+z+z3) = P(-1.35+z+1.35) = 0.7146\)
Therefore, if the sample size were increased to 100, the likelihood that the sample mean will be within\($1,000\) of the population mean is\(0.7146,\)or roughly \(71%.\)
\(= 71%\)
To know more about standard-deviation visit:
https://brainly.com/question/14747159
#SPJ4
Complete Question:
(a) What is the value of the standard error of the mean? (Round your answer to the nearest whole number.)
(b) What is the probability that the sample mean will be more than $27,175?
(c)What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.)
(d) What is the probability that the sample mean will be within $1,000 of the population mean if the sample size were increased to 100? (Round your answer to four decimal places.)
Write an equation in slope Intercept form of the line that passes through the two points given.
(6,5) (4, -3)
Answer:
I didnt mean to answer
Step-by-step explanation: ignore this
In building a brick staircase, we need 200 bricks for the bottom step and 84 bricks for the top step. If, beginning with the bottom step, each successive step requires four fewer bricks, how many bricks will be required to build the staircase?
The number of bricks that will be required to build the staircase is: 30 bricks
How to find the nth term of an arithmetic sequence?An arithmetic sequence is defined as one where you get the next term by adding a constant, called the common difference, to the previous term. A lot of formulas come from this simple fact. and they allow us to solve for any term in the sequence and even the sum of the first few terms.
The formula for the nth term of an arithmetic sequence is:
aₙ = a₁ + (n - 1)d
where:
a₁ is first term
d is common difference
n is nth term
We are given:
a₁ = 200
d = -4
aₙ = 84
Thus:
84 = 200 + (n - 1)(-4)
84 - 200 = -4n + 4
-4n = -120
n = 30
Read more about arithmetic sequence at: https://brainly.com/question/6561461
#SPJ1