Answer:
I think 1
I think 2
I think 3
I think 4
The data in the table represents a company’s profit based on the number of items produced. A 2-column table with 6 rows. The first column is labeled items produced (x) with entries 100, 200, 300, 400, 500, 600. The second column is labeled dollars of profit (y) with entries negative 70,500; 50; 50,100; 80,300; 90,400; 78,000. Which equation best represents the data? y = –1. 026x2 1016. 402x – 162075 y = –1. 036x2 1024. 771x – 163710 y = 298. 214x – 66317. 667 y = 196. 2x – 18710.
The equation that best represents the data is y = –1.036x^2 + 1024.771x – 163710.
The equation represents a quadratic relationship between the number of items produced (x) and the dollars of profit (y). It is in the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
To determine which equation best represents the data, we look for the equation that closely matches the given profit values for each number of items produced. By comparing the given profit values to the values generated by the equation, we can find the equation that fits the data points most accurately.
In this case, the equation y = –1.036x^2 + 1024.771x – 163710 generates profit values that closely match the given data. Therefore, it is the best equation to represent the relationship between the number of items produced and the dollars of profit for the company.
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Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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Did I get this right or no if I didn't pls explain (im so stupid)
Answer:
simplify the answer to 1 over 6
Answer:
1/6 or (Decimal: 0.166667)
Step-by-step explanation:
suppose a hypothesis test, using α = 0.05, is being conducted with the following null hypothesis: h0: μ = 2. which one of the following confidence intervals would lead to rejecting the null hypothesis
A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.
α = 0.05
μ = 2
If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.
This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.
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I just need a quick answer for this homework.
Answer:
D. clothes last longer
Step-by-step explanation:
D is a result of the statement. Therefore, it is the hypothesis.
I hope this helps!
How many Dollars in 45 Billion won?
45 billion Korean Won is equal to 45 million US Dollars.
The formula for (USD) is USD = KRW / 1000. To calculate 45 billion won in USD, we must first convert KRW to USD. 45 billion KRW is equal to 45,000,000,000 KRW. Using the formula above, we can calculate the amount of USD:
USD = 45,000,000,000 KRW / 1000
USD = 45,000,000 USD
Therefore, 45 billion won is equal to 45 million US Dollars.
To better understand this conversion, it is important to remember that one US Dollar is equal to 1000 Korean Won. As an example, if you have 10,000 Korean Won, you can convert that to USD by dividing 10,000 by 1000, which equals 10 USD. The same concept applies when converting larger numbers. To convert 45 billion KRW to USD, we must divide 45,000,000,000 by 1000, which equals 45,000,000 USD.
In conclusion, 45 billion Korean Won is equal to 45 million US Dollars.
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How many quart in a cubic feet ?
The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot.
So the volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.
The quantity of cubic feet can be multiplied by 29.9220779 to get the conversion to quarts. For instance, if you have a container with a 2 cubic foot volume, the quantity of quarts in that container would be:2 cubic feet multiplied by the US liquid quart density of 29.9220779 gives 59.8441558 US quarts. The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.
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A window is to be built in the shape of a rectangle surmounted by an isosceles
triangle. The area of the window must be 6m2. Use Lagrange Multipliers to find
the width and height of the rectangle for which the perimeter of the window will be
as small as possible. (Clarications: (1) A rectangle surmounted by a triangle has
the shape of a stick drawing of a house as might be drawn by a child, a rectangle
with a triangle on top. (2) The window's perimeter is made up of three sides of
the rectangle and the two equal length sides of the triangle. Draw a diagram! (3)
This may require some industrial strength algebra!)
The width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
What is the Lagrange multiplier?
The Lagrange multiplier, λ, measures the increase in the objective function (f(x, y) that is obtained through a marginal relaxation in the constraint (an increase in k). For this reason, the Lagrange multiplier is often termed a shadow price.
To use Lagrange multipliers to solve this problem, we can set up a function to minimize the perimeter of the window, subject to the constraint that the area of the window is fixed at 6 square meters.
Let x be the width of the rectangle, y be the height of the rectangle, and z be the Lagrange multiplier.
The function to minimize is the perimeter of the window, which is P = 2x + 2y + (2 * sqrt(x^2 + y^2))
The constraint is the area of the window, which is A = xy + (x * sqrt(x^2 + y^2))/2 = 6
The Lagrange equation is
L(x,y,z) = P + z(A-6) = 2x + 2y + (2 * sqrt(x^2 + y^2)) + z(xy + (x * sqrt(x^2 + y^2))/2 - 6)
To find the critical points, we will take the partial derivatives of L(x,y,z) with respect to x, y, and z, and set them equal to zero:
∂L/∂x = 2 + zy + zx * (x/sqrt(x^2 + y^2)) = 0
∂L/∂y = 2 + zx + zy * (y/sqrt(x^2 + y^2)) = 0
∂L/∂z = xy + (x * sqrt(x^2 + y^2))/2 - 6 = 0
Solving these equations simultaneously will give us the critical points of the function.
We will get two critical points (x,y) = (3sqrt(2), 2sqrt(2)), (0,2sqrt(2))
We should eliminate the point where x=0 as it does not fulfill the condition of the problem ( the width should be greater than 0)
Hence, the width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
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I kinda forgot how to do this so pleaseeeeeeeeee help meeeeeeeee!!!
∠A and ∠B are acute angles of a right triangle. If sin A = x + 2 and cos B = 2x – 5, determine the value of x.
Answer:
x= 7
Step-by-step explanation:
\(\boxed{ \sinθ = \frac{opp}{hyp} }\)
\( \sin A = \frac{a}{c} \)
\( \frac{a}{c} = x + 2\)
\(\boxed{ \cosθ = \frac{adj}{hyp} }\)
\( \cos B = \frac{a}{c} \)
\( \frac{a}{c} = 2x - 5\)
Equating both expressions for a/c together:
x +2= 2x -5
Bring x terms to 1 side, constants to the other:
2x -x= 2 +5
x= 7
Answer:
X=7
Step-by-step explanation:
Hi, I took the quiz and the right answer is x=7.
3/4 y =6
I need an equivalent equation
Pls help! I’m giving out brainliest to the first person who answers!
Answer:
1=137
2=43
3=137
4=43
5=43
6=137
7=43
8=137
WILL MARK AS BRAINLIEST!!
if y varies directly as x and y=3 when x=12, what is the value of y when x=18
Answer: y=6
Step-by-step explanation:
Data: y=3 and x=12
y=? and x=18
12/3=4 and 18/3=6
y=6
I hope this helps
product -12 and sum -1 what are the factors
Answer:
the two numbers are 3 and -4
Step-by-step explanation:
Product: xy = -12, or x = -12/y
Sum: x + y = -1, or -12/y + y = -1
Let's multiply all three terms by y to eliminate the fractional terms:
-12 + y^2 = -y, or
y^2 + y - 12 = 0
This factors into (y + 4)(y - 3) = 0, yielding y = -4 and y = 3.
Earlier we found that x = -12/y. Here, if we choose y = -4, x = -12/(-4) = 3
and so the two numbers are 3 and -4. Note that 3(-4) = -12, as required, and that 3 - 4 = -1, also as required.
amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend. if the postage is $1.77, how many of each stamp did amy use?
If Amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend worth of $1.77 , then the number of 41 cent stamp used is 3 and the number of 6 cent stamps used is 9 .
Let the number of 41 cents stamps used in postage is = x ;
let the number of 6 cents stamps used in postage is = y ;
the amount 41 cents in dollars is = $0.41 ;
and amount 6 cents in dollars is = $0.06 ;
Amy used 41-cent stamps , 6-cent stamps to pay $1.77 in postage
it is represented in equation form as ⇒ 0.41x + 0.06y = 1.77
Multiplying on both sides by 100 , we get
⇒ 41x + 6y = 177 ;
⇒ y = (177 - 41x)/6 ;
We will test for corresponding values of x and y to satisfies this equation and the number of stamps must be whole numbers.
If x = 1 , then y = 26.66
If x = 2 , then y = 15.83
If x = 3 , then y = 9
If x = 4 , then y = 2.16 .
the only values that shows a whole number is : If x = 3 , then y = 9 .
Therefore , Amy used "3" 41-cents stamps and "9" 6-cent stamps .
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Pls help
My teacher rlly tried to make it fun like girl nah it’s still hella boring
which function is the inverse of f(x)= arccsc x
Let's begin by identifying key information given to us:
\(\begin{gathered} f(x)=arccsc(x)_{} \\ f\mleft(x\mright)=y \\ \Rightarrow y=arccsc(x) \\ We\text{ will proceed to i}nterchange\text{ }the\text{ }variables,\text{ we have:} \\ x=arccsc(y) \\ We\text{ will make ''y'' the subject of the formula, we have:} \\ y=\frac{x}{arccsc}\Rightarrow y=csc(x) \\ y=csc(x) \\ y=f^{-1}\mleft(x\mright) \\ \Rightarrow f^{-1}(x)=csc(x) \\ \\ \therefore f^{-1}(x)=csc(x) \end{gathered}\)What is 6.84 x 10-7 written as a decimal number?
Answer:
Step-by-step explanation:
6.84 x 10^-7 as a decimal number is
0.000000684
the cost of tickets to the exhibit were reduced to $3 write an expression for the new cost in the dollars for p people to visit the museum and attend the exhibit then simplify the expression by combining like terms
Answer:
$3 X p = t
Step-by-step explanation:
y = 6 - x; (-3,3)
is it a solution?
Now use GeoGebra to measure the length of each side of quadrilateral ABCD, and use those lengths to calculate the perimeter of the quadrilateral. Do you get the same result that you obtained in part E? Take a screenshot of your work, and paste it below.
Answer:
Step-by-step explanation:
in a box of 20 candies, there are 8 which contain nuts. if five pieces are randomly selected and consumed what is the probability of selecting 0, 1, 2, 3, 5, 5 candies
The probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304.
The number of candies containing nuts follows a binomial distribution with parameters n = 5 and p = 8/20 = 0.4, where n is the number of trials and p is the probability of success (selecting a candy containing nuts).
To find the probability of selecting 0, 1, 2, 3, 4, or 5 candies containing nuts, we can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the number of candies containing nuts selected, k is the number of successes (candies containing nuts) we want to find the probability of, (n choose k) is the binomial coefficient which represents the number of ways to choose k successes out of n trials.
For k = 0, we have:
P(X = 0) = (5 choose 0) * 0.4^0 * 0.6^5 = 0.07776
For k = 1, we have:
P(X = 1) = (5 choose 1) * 0.4^1 * 0.6^4 = 0.2592
For k = 2, we have:
P(X = 2) = (5 choose 2) * 0.4^2 * 0.6^3 = 0.3456
For k = 3, we have:
P(X = 3) = (5 choose 3) * 0.4^3 * 0.6^2 = 0.2304
For k = 4, we have:
P(X = 4) = (5 choose 4) * 0.4^4 * 0.6^1 = 0.0768
For k = 5, we have:
P(X = 5) = (5 choose 5) * 0.4^5 * 0.6^0 = 0.01024
Therefore, the probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304, the probability of selecting 4 candies containing nuts is 0.0768, and the probability of selecting 5 candies containing nuts is 0.01024.
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(Dilations MC)
Triangle ABC with vertices at A(-1, -1), B(1, 1), C(0, 1) is dilated to create triangle A'B'C' with vertices at A'(-3, -3),
B'(3, 3), C'(0, 3). Determine the scale factor used.
01
O
1/2
03
ㅇㅎ
The scale factor used in the dilation of the triangles is 3
Determining the scale factor usedFrom the question, we have the following parameters that can be used in our computation:
ABC with vertices at A'(-1, -1), B(1, 1), C(0, 1).A'B'C' with vertices at A(-3, -3), B(3, 3), C(0, 3)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-3, -3)/(-1, -1)
Evaluate
Scale factor = 3
Hence, the scale factor is 3
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determine the value of x , (5)(x)=0
Answer:
x=0
Step-by-step explanation:
The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)
if one u.s. dollar buys 1.59 canadian dollars, how many u.s. dollars can you purchase for one canadian dollar (cad)?
U.S. dollars can be purchased for one Canadian dollar is 0.63 U.S. dollar.
One U.S. dollar buys 1.59 Canadian dollar
1 U.S. dollar = 1.59 CAD dollar
By using the unitary method to calculating the value of 1 Canadian dollar.
The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit .
Value of one Canadian dollar
1/1.59 U.S. dollar = 1 CAD dollar
1 CAD dollar = 0.63 U.S. dollar
1 CAD dollar can buy 0.63 U.S. dollar.
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Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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Quick 15, anyone? Pease help out, thanks
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 4+16x−12(1+2x)
2. 40x−16
3. 16x−24x−4+12
4. -8x−8
Can anyone solve this ASAP WORTH 100 points.
Answer:
yea i can help
Step-by-step explanation:
Answer:
MN = 20
QR = 80
PR = 100
AB = 76
Go Tennis is a tennis club for kids to come and learn more about the fundamentals of tennis. The first year it was open, it had 20 kids join. If 15 kids join each year, write an equation that represents how many kids will be enrolled in x years.
Answer:
20+15x
Step-by-step explanation:
because we start with 20 and every year 15 kids join we multiply 15 by x years with 20 kids so we get 20+15x
how to make enchantment table
An enchantment table is a block in the game To make an enchantment table, you will need the following materials:
The only choices available have a level requirement equal to or below the player's current level and a Lapis Lazuli requirement equal to or below the number of lapis lazuli placed in the table.
Each option imbues the item with a randomized set of enchantments that are dependent on the number of experience levels required (e.g. a level 10 enchantment can give a pickaxe the "Efficiency II" enchantment); the actual level cost and the number of Lapis Lazuli required have no effect.
An enchanting table is a block that allows players to spend their experience point levels to enchant tools, weapons, books, armor, and certain other items.
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Juan collected 7,006 sports cards throughout his life. He gave 5,479 sports cards to his friends and a charity. How many sports cards did he keep?
OA 2,473
B.
2.527
OC. 1427
oD. 1527 help sos
Answer:1533
Step-by-step explanation:
7006-5,479=1533