The cost of 3x10^0 houses is $1.05* 10^6 . If the cost of the houses and the number of houses is proportional. How much money is needed to buy 2.5x10^1houses? Do all calculation in SN form. Express your answer in proper scientific notation and in standard form. MUST SHOW ALL YOUR WORK

Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

\((x-h)^{2} +(y-k)^{2} =r^{2}\)

Given:

\((x-1)^{2} +(y+3)^{2} =4^{2}\)

put into circle formal format:

\((x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}\)

The center of the circle is at point (h,k)

\((x-1)^{2} +(y+3)^{2} =4^{2}\)

center should be at:  (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

f (0) = 1 is the output for the given input .

What is  linear function ?

f(x)= -4 x+1

Put x = 0    ⇒   - 4 × 0 + 1

                  ⇒   0 + 1

                  ⇒   1

Therefore f (0) = 1

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Answer:

\(8x-36\)

Step-by-step explanation:

\(4(2x-9)\)

Through distributing the \(4\) into \(2x\) and \(-9\) (multiply), \(4(2x-9)\) is equivalent to:

\(8x-36\)

There are other solutions for this problem, but this is the most easily reachable solution.

-

You can check if the solution is equivalent & correct by first dividing it by 2:

\(\frac{8x-36}{2} =\)

\(4x-18\)

With that, you can factor out a 2 from both \(4x\) and \(-18\) to get:

\(4(2x-9)\)

Therefore, this solution is correct!

First, we need to find the economic order quantity (EOQ) which can be calculated using the following formula: EOQ = sqrt((2DS)/H)

Where,D = annual demand (in units)

S = fixed cost per order

H = holding cost as a percentage of unit cost

For BZoom, annual demand

(D) = 400 kg/week *

52 weeks/year = 20,800 kg/year

Fixed cost per order (S) = $50

Holding cost as a percentage of unit cost (H) = 30%Unit cost of dye powder = $1.3/kgSo,EOQ = sqrt((2*20,800*50)/0.3) = 2,425.52 kgThe company should order 2,426 kg of red dye powder from its supplier with each order to minimize the sum of ordering and holding costs.b. If BZoom orders 4,000 kgs at a time, the number of orders placed in a year will be:20,800 kg/year / 4,000 kg/order = 5.2 orders per year.

Round up to the nearest whole number to get 6 orders per year The total annual ordering cost for 6 orders will be:6 orders * $50/order = $300The average inventory during the year will be half the EOQ, which is 1,213 kg.Total annual holding cost = 1,213 kg * $1.3/kg * 0.30 = $471.63Total annual ordering and holding cost = $300 + $471.63 = $771.63c. If BZoom orders 2,000 kgs at a time, the number of orders placed in a year will be:20,800 kg/year / 2,000 kg/order = 10.4 orders per yearRound up to the nearest whole number to get 11 orders per yearThe total annual ordering cost for 11 orders will be:11 orders * $50/order = $550The average inventory during the year will be half the EOQ, which is 1,213 kg.

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Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

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-Chetan K

Using the distributive property 4 (3 + 4x - 2y) is equal to (12 + 16x - 8y).

The distributive property of multiplication is one of the mathematical properties.

The distributive property states that multiplying a factor by the sum of two or more numbers or addends will yield the same result as multiplying each number separately by the same factor and adding the products together.

The implication of the distributive property is that 4 (3 + 4x - 2y) is of equal value as (12 + 16x - 8y).

4 (3 + 4x - 2y)

= (3 x 4) + (4x x 4) - (2y x 4)

= (12 + 16x - 8y)

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Answer:

whe are yoooooooooooooou from?

The shapes with the same areas are (c) A and B

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Figures A, B and C

For the figures A, B and C to have the same area, the number of boxes on the shapes must be the same

Using the above as a guide, we have the following:

By comparison, we have

A and B = 16 square units

Hence, the shapes A and B have the same area

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Answer:

g(f)=2f ⇒ The input is f

h(g)=-4+g ⇒The input is g

f(h)=h-7 ⇒ The input is h

OAmalOHopeO

The number of possible combinations of three coins from the bag of 16 coins with different dates can be calculated using the formula for combinations, which is nCr = n! / r!(n-r)!, where n is the total number of objects, r is the number of objects to be chosen, and ! denotes factorial (the product of all positive integers up to the given number).

In this case, we have n = 16 (the total number of coins in the bag) and r = 3 (the number of coins to be chosen for each combination). Using the formula for combinations, we can calculate the number of possible combinations as follows:

nCr = 16! / 3!(16-3)!
nCr = (16 x 15 x 14) / (3 x 2 x 1)
nCr = 560

Therefore, 560 possible combinations of three coins can be chosen from the bag of 16 coins with different dates. These combinations could represent different historical events, significant dates, or other symbolic meanings depending on the dates inscribed on the coins. The calculation of combinations is an important concept in combinatorics and probability theory, and it has many real-world applications in fields such as statistics, economics, and computer science.

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The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.

Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.

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Answer:

15488

Step-by-step explanation:

1st step is = (1-20/100) * 25000 which will be 2000

and then 2nd step is (1-12/100)^2*20000

which will become 15488

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

Answer:

x = 0.25

Step-by-step explanation:

If y varies inversely with x, then:

\(y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}\)

Given:

Substitute the given values into the found equation and solve for k:

\(\implies 1.6=\dfrac{k}{0.5}\)

\(\implies k=1.6(0.5)\)

\(\implies k=0.8\)

Therefore:

\(y=\dfrac{0.8}{x}\)

To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:

\(\implies 3.2=\dfrac{0.8}{x}\)

\(\implies x=\dfrac{0.8}{3.2}\)

\(\implies x=0.25\)

Answer:no image

Step-by-step explanation:

Answer:-10

Step-by-step

900-800 over 0-10

100/-10

The scale factor of your design is 1 / 6.

A scale factor is defined as the ratio between the scale of a given original object and a new object.

In other words, scale factor is the ratio between corresponding measurements of an object and a representation of that object.

Hence, you are in charge of creating a billboard advertisement that is 16 feet long and 8 feet tall. You make a scale drawing that is 32 inches wide and 16 inches high.

The scale factor of the design can be calculated as follows:

1 feet = 12 inches

8 feet  = 96 inches

96 inches  = 16 inches

1 inch = ?

cross multiply

scale factor = 16 / 96

scale factor =  2 / 12 = 1 / 6

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Answer:

I think it is the first one as you add the 4 like from the other

Answer:

Answer B

Step-by-step explanation:

You have to use the pythagorean theorm which states that a^2+b^2=c^2

So, 7^2+x^2=9^2

49+x^2=81 subtract 49 from both sides of the equation

x^2=32

x=sqrt(32)

sqrt(32)=sqrt(16)*sqrt(2)

=4*sqrt(2)      

answer

as we all know volume is equal to length times width times height therefore to get you answer you have to multiply all the three giving measurements the answer that you get you are supposed to round it to the nearest to decimal places when you say around it off to the nearest two decimal places it means that they need to be too this two numbers after the coma

Based on the line segments, the vertical angles include the following: A. ZAFE and ZBFD.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Since both line segment AB and line segment BE are interesting lines, we can reasonably infer and logically deduce that they are congruent and as such the magnitude of angle ZAFE is equal to angle ZBFD in accordance with the vertical angles theorem.

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Answer:

74 1L bottles and 23 2L bottles

Step-by-step explanation:

We can use algebra to figure out the answer

let the 1L bottles be called m and the 2L bottles be called n

We know that:

(1) m+n = 97

and

(2) m+2n(2L bottles) = 120L

(2) - (1)

m+2n-m-n = 120-97

n = 23

and so

m = 74

Therefore, The shop owner receives 74 1L bottles and 23 2L bottles

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

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The results for the defects are given below-

(a) There are 658,008 possible sample combinations.

(b) There will be at least one flawed board in each of the 222,111 samples.

(c) There is a 0.34 percent chance that a sample of five randomly selected boards comprises at least one flawed board.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the chronology of the choosing is irrelevant.

According to the question;

We are informed that three of the forty computer boards produced have problems. It is necessary to choose a collection of five items to inspect for flaws.

(a) The sequence in which a sample of five is picked from of the product cycle of forty doesn't matter, thus we will employ a combination method to determine number of times specimens can be chosen.

Total sample, n = 40.

Selected sample, x = 5.

The formula for combination is;

ⁿCₓ = n!/{r!(n-r)!}

Substitute the given values;

⁴⁰C₅ = 40!/{5!(40-5)!}

⁴⁰C₅ = 658,008

Thus, different samples can be chosen are 658,008.

(b) We will first determine that many samples will have no defective boards or zero defective boards before determining number of times samples will have at least one defective board.

For this as well, we'll combine a sample of r = 5 computer boards with;

n = 40 - 3

n = 37 non-defective computer boards.

³⁷C₅ = 37!/{5!(37-5)!}

³⁷C₅ = 435,897

As a result, 435,897 of a 658,008 samples will be defect-free.

Such samples that will have at least one faulty board will then equal the total samples minus the samples with no faulty boards.

= 658,008- 435, 897

= 222,111

Thus, the samples that will contain at least one defective board are 222,111.

(c) The likelihood that at atleast one defective board will be found in a sample of five randomly selected boards is provided by;

Probability = 222,111/658,008

Probability =   0.34

Thus, the probability that a randomly chosen sample of five contains at least one defective board is 0.34.

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The complete question is-

Suppose that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

a. How many different samples can be chosen?

b. How many samples will contain at least one defective board?

c. What is the probability that a randomly chosen sample of five contains at least one defective board?

Answer:

these two angles are the same as each other

Answer:

I am not certain but I think division

Answer:

I think you use division to get rid of them.

Step-by-step explanation:

Hope this helps

Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm