A factory uses 15 pounds of steel for every 18 pounds of copper. How much copper will the factory use for 2,700 pounds of steel?
Answer:
3240 pounds of copper would be used
Step-by-step explanation:
\(\frac{18}{15}=\frac{x}{2700} \\(2700)*(\frac{18}{15})=x\\3240lbs=x\)
y = (x + 2)^2 + 6 1) Identify the vertex 2) Identify the y-intercept. 3) Graph the function
y = (x + 2)^2 + 6
Vertex
Parabola equation: y = a(x - h)² + k ==> Vertex is (h, k)
In this case h = -2 and k = 6 ==> Vertex(-2, 6)
Vertex(-2, 6)
y-intercept
y-intercept is the value of y when x = 0,
in this case, when x = 0, y = 10, therefore
y-intercept: y = 10
Graph
The seating at a local theater has two main sections the orchestra section of the general admission section. there are 135 seats in the orchestra section and 243 seats in the general section each row has the same number of seats what is the greatest number of seats in each row?
In two main sections, the orchestra section, and the general admission section the greatest number of seats in each row is 27.
Explanation:
Now, let’s find the factors of the given seats in the orchestra section and the general section:
The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135
The factors of 243 are: 1, 3, 9, 27, 81, 243
Here, we have to find the greatest common factors of the given numbers:
After finding the factor, the greatest common factor is 27.
Then the greatest Number of seats is 27.
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The dimensions of a rectangular prism are 5 cm, 6m, and x cm. Its surface area is 148cm Find the other dimension
Answer: 4 cm
You take the surface area formula and substitute “x” for the width. Then it becomes a simple algebra problem.
on january 1, year 1, billy co signed a three-year lease for office space. the lease required monthly rent of $8,000 for the first year, $8,100 fo rhte second year
If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should record for Year 2 is: $1,000.
How to find the amortization expense?Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the Amortization expense using this formula
Amortization expense = New overhead lighting fixtures / 2 years
Let plug in the formula
Amortization expense = $2,000 /2
Amortization expense = $1,000
Therefore the Amortization expense is the amount of $1,000.
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The complete question:
On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answer:
C
Step-by-step explanation:
EDGE
Line G and lineH are complementary angles. If mlineG = (6x - 15)' and mlineH= (3r + 6)", find H
Since angle G and angle H are complementary angles, the value of x is 11 while angle H is equal to 39 degrees.
What is a complementary angle?A complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).
Mathematically, a complementary angle can be calculated by using this formula:
Q + R = 90°
Where:
Q and R are measure of the angles subtended.
Substituting the given parameters into the formula, we have;
(6x - 15)° + (3x + 6)° = 90°
9x - 9 = 90°
9x = 90 + 9
9x = 99
x = 99/9
x = 11
Next, we would determine the value of H:
H = 3x + 6
H = 3(11) + 6
H = 33 + 6
H = 39 degrees.
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Complete Question:
Angle G and angle H are complementary angles. If G= (6x-15)° and H= (3x+6)° find the x value and H
we need to calculate a) mean b) variance c) standard
deviation
(2) clarining cinif requang, For the frequency: table on the left, compete (as the main (8), 4) the variance [5] and w the standard deviation 8]. 2 3 6 9. 7 12 4 Sum=20
The mean is ≈ 8.793. The variance is approximately 9.641. The standard deviation is approximately 2.964
Given frequency table:
Value: 2 3 6 9 12
Frequency: 3 6 9 7 4
a) Mean:
\(\[\text{{Mean}} = \frac{{\text{{Sum of (Value * Frequency)}}}}{{\text{{Total number of observations}}}}\]\[\text{{Mean}} = \frac{{(2 \times 3) + (3 \times 6) + (6 \times 9) + (9 \times 7) + (12 \times 4)}}{{3 + 6 + 9 + 7 + 4}}\]\[\text{{Mean}} = \frac{{189}}{{29}}\]\)
≈ 8.793
b) Variance:\(\[\text{{Variance}} = \frac{{(3 \times (2 - \text{{Mean}})^2) + (6 \times (3 - \text{{Mean}})^2) + (9 \times (6 - \text{{Mean}})^2) + (7 \times (9 - \text{{Mean}})^2) + (4 \times (12 - \text{{Mean}})^2)}}{{29}}\]\)
≈ 8.793
c) Standard Deviation:
\(\[\text{{Standard Deviation}} = \sqrt{{\text{{Variance}}}}\]\)
Therefore, the standard deviation is approximately \(\sqrt{8.793} \approx 2.964\)
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question number four pls help I will mark brainiest
The table above gives values of the function f at selected values of x. Which of the following statements must be true
On solving the provided question, we can say that the function's value
\(limx→4+f(x)=6limx→4+f(x)=6\)
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function's value will be -
limx→4+f(x)
=6limx→4+f(x)
=6
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Complete question is: The table above gives values of the function fat selected values of \($\mathrm{x}$\). Which of the following statements must be true?
\($$\text { A } \lim _{x \rightarrow 2} f(x)=3$$\)
\($$B \lim _{x \rightarrow 2} f(x)=8$$\)
\(C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.\)
\(D\ $\lim _{x \rightarrow 2} f(x)$\) cannot be definitively determined from the data in the table.
How many ways can you select 2 pieces of fruits from a basket of 8 pieces?
Answer: 56
Step-by-step explanation:
There are 8 pieces of fruit to choose from.
When you choose the next piece, there are only 7 pieces remaining to choose from.
First pick and Second pick
8 x 7 remaining = 56
Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 9 hours against a river current of 3 km/ hr. On the way back, the same distance took him 4 hours with the same 3 km/hr current. Let r = Alvin's average paddling rate.
Therefore, Alvin's average paddling rate for a canoe trip to a campsite was 6 km/hr
Let's find out Alvin's average paddling rate for a canoe trip to a campsite.The distance Alvin paddled on the way to the campsite is the same as on the way back since he travelled to the same place and back to his initial location.
The rate at which Alvin paddled to the campsite is given by the relation;
r - 3 = (total distance)/(time taken to get to the campsite).
Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get to the campsite is 9 hours.
On the way back, Alvin's rate of paddling is given by;
r + 3 = (total distance)/(time taken to get back from the campsite).
Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get back from the campsite is 4 hours.Since the distance Alvin paddled to and from the campsite is the same, we can use D = rt.
Therefore, we can get an equation in r only:
r - 3 = D/9(r) + 3
r= D/4
Now, we need to solve for D. We can do this by setting both expressions equal to each other. That is:
r - 3 = r + 3D/9
r-3 = D/4(4)D/9
r-3= D/4
Multiplying both sides by 36 gives:
4D = 9D/4 * 36D
D= 81 km
Therefore, the distance of the campsite is 81 km.
Using D = rt,
we can find the average paddling rate r:
r = D/t
r = 81/(9 + 4) r
r = 6 km/hr.
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What is the probability that the sample proportion is between 0.2 and 0.42?
The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.
To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.
First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.
Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.
Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.
Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.
In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.
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Is 82 inches grater than 5feet and 10 inches
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
Rita plans to make a call using a calling card. For each call, rita has two options: 1. Pay $0. 49, plus an additional $0. 019 per minute. 2. Pay $0. 059 per minute. She predicts that her call will be x minutes long. Which inequality represents the statement, "rita would save money using the second option"?.
The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x
"Information available from the question"
In the question:
1. Pay $0. 49, plus an additional $0. 019 per minute.
2. Pay $0. 059 per minute.
Now, According to the question:
How to determine the inequality that represents the statement?
We have the following parameters that can be used in our computation:
1. Pay $0.49, plus an additional $0.019 per minute.
2. Pay $0.059 per minute.
These statements can be represented as
Option 1: y = 0.49 + 0.019x
Option 2: y = 0.059x
Where y is the total amount and x is the number of minutes
When she saves money, we have
Option 2 < Option 1
Substitute the known values in the above equation, so, we have the following representation
0.059x < 0.49 + 0.019x.
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For which of the following is the shape of the sampling distribution of the sample mean approximately normal? a random sample of size 5 from a population that is approximately normal a random sample of size 10 from a population that is strongly skewed to the right a random sample of size 60 from a population that is strongly skewed to the left.
Answer:
a random sample of size 5 from a population that is approximately normal
a random sample of size 60 from a population that is strongly skewed to the left.
Step-by-step explanation:
They are both correct
Answer:
D. Approximately Normal
What is the solution of the system of equations that contains the equation − 3 x − 9 y = 9 ?
solve the equation
6x−7+2x=−79
x= what
Answer:
\(\boxed{\boxed{\sf x=-9}}\)
Step-by-step explanation:
\(\sf 6x-7+2x=-79\)
Combine like terms:
\(\sf 6x+2x-7=-79\)\(\sf 8x-7=-79\)Add 7 from both sides:
\(\sf 8x-7+7=-79+7\)\(\sf 8x=-72\)Divide both sides by 8:
\(\sf \cfrac{8x}{8}=\cfrac{-72}{8}\)\(\sf x=-9\)___________________________
does anyone know how to do this?
Answer:
ST = \(\frac{4}{3}\) π in
Step-by-step explanation:
The length of the arc is calculated as
ST = circumference of circle × fraction of circle
= 2πr × \(\frac{30}{360}\)
= 2π × 8 × \(\frac{1}{12}\)
= 16π × \(\frac{1}{12}\)
= \(\frac{4}{3}\) π in
a) what is the value of the 8 in the number 24.387?
Gve your answer as a fraction. ???
Answer:8/100
Step-by-step explanation: you would count the placement value of the numbers after the decimal point
Please help.
Algebra.
An account earns simple interest.
$2000 at 3.5% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
Answer:
2280
Step-by-step explanation:
6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?
Answer:
1 1/12
Step-by-step explanation:
You take 2 3/4 and subtract it by 1 2/3
Make them into improper fractions 11/4 - 5/3
you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator
you get 33/12 - 20/12 and get 13/12
then make it a mixed number
hope this helps :)
8x 2 + [ 3x3-8] = with explanation pls and its due in six minutes
Answer: 16x+3x^3−8
Please mark me brainliest :)
I needdd helpppppppppppp
Answer:
The Anwers is C
Step-by-step explanation:
2x + y = 20. 6x - 5y = 12
on your desk, there is a very special die with a prime number p of faces, and you throw this die once. show that no two events a and b can be independent unless either a or b is the whole sample space or the empty set.
We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.
A sample space can be defined as the set of all possible outcomes of any experiment.
We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅} (i)
This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)
Using the values of (i) and (ii), we get -
= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.
= p|C|=|A||B|.
From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|. if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.
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Let us suppose the following profit function for this industry: π(p,w
1
,w
2
)=
8(w
1
+w
2
)
1/2
p
2
where p is the market price of its output, while w
1
and w
2
are the prices of the inputs. Assume further that the firms are identical and that each firm faces the same market prices for both its output as well as inputs. a) Explain whether the firm is operating in the short run or long run and further determine the supply function for each firm. b) Derive the firm's input demand functions, determine their degree of homogeneity as well as the impact of a change in the input prices. c) Derive the market supply function given that there are 40 firms operating in this, market. d) If the market price of output (p) is 5 , the market price of the input (w
1
) is 1 , that of (w
2
) is also 1 and the demand function is given by q=1500/p(p+1). Determine the total market supply.
(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.
(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.
(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.
(d) Given the market conditions and demand function, the total market supply can be calculated.
(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).
(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.
(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).
(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.
In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.
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What is the area of the shape below?
Answer:
30 yd²
Step-by-step explanation:
Hello There!
The shown figure is a trapezoid
The first thing we need to do is figure out what the formula for area of a trapezoid is
\(A=\frac{a+b}{2} h\)
where a and b = bases and h = height
we are given all of the dimensions so all we have to do is plug in the values
a = 9
b = 6
h = 4
\(A = \frac{6+9}{2} 4\\6+9=15\\\frac{15}{2} =7.5\\7.5*4=30\)
so we can conclude that the area of the figure is
30 yd²
~TheMathWiz
Answer:
30
Step-by-step explanation:
first you find the area of the rectangle the formula is A=wl
A=6*4=24
Then find the area of the triangle the formula is A =h b/2
A=4 3/2
6
the base is 3 because the whole bottom is 9 but the base of the square is 6 and so 9-6=3
now add them together
24+6=30
50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squares (5 points)
Answer:
Step-by-step explanation:
50a³b = 2⋅5²a³b
8ab = 2³ab
GCF = 2ab
50a³b - 8ab = 2ab(5²a² - 2²)
5²a² - 2² = (5a - 2)(5a + 2)