Write an equation for each line

Answer:

Step-by-step explanation:

270 counter clockwise = 90 clockwise

This is (x, y) ---> (y, -x).

So R'S'T' will be R'(2, -1), S'(2, -4) and T' = (-3, -2)

The balance on the Bad Debt Expense account for the year, based on the accounts receivable balance and the rates of uncollectibility is $6, 800.

First, find the uncollected receivables estimate for the year using the rates of uncollectibility.

= ∑ (Age of receivable x Rate of uncollectibility)

= (50, 000 x 1%) + ( 20,000 x 3%) + (11, 000 x 5%) + (19, 000 x 25%)

= 500 + 600 + 550 + 4, 750

= $6, 400

The Bad Debts Expense for the year would then be:

= Uncollected receivables estimate + Debit balance on Allowance for doubtful accounts

= 6, 400 + 400

= $6, 800

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

P=32cm

Step-by-step explanation:

Answer: 32

Step-by-step explanation: 9+9 =18

                                             7+7= 14

                                               14+18=32

Part A:  Daniel eats 1 and 1/2 loaves of bread in one whole week.

In one weekday, Daniel eats 2 slices of bread, and there are 5 weekdays in a week (Monday to Friday). So, in a week, Daniel eats 2 x 5 = 10 slices of bread on weekdays.

On the weekends, he eats 4 slices of bread per day, and there are 2 days in a weekend (Saturday and Sunday). So, in a week, Daniel eats 4 x 2 = 8 slices of bread on weekends.

Thus, in a week, Daniel eats a total of 10 + 8 = 18 slices of bread.

As there are 12 slices in each loaf, Daniel eats 18/12 = 1.5 loaves of bread in one week.

Therefore, Daniel eats 1 and 1/2 loaves of bread in one whole week.

Part B: Daniel's estimate of needing 6 loaves of bread for the 6-week vacation is not accurate. Based on the calculation, he would need 9 loaves of bread instead.

As calculated in Part A, Daniel eats 1.5 loaves of bread in one week.

So, in 6 weeks, he would need 1.5 x 6 = 9 loaves of bread.

Therefore, Daniel's estimate of needing 6 loaves of bread for the 6-week vacation is not accurate. Based on the calculation, he would need 9 loaves of bread instead.

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer: 1/6 of the paint went to each container

Step-by-step explanation: Since we know he had 2/3 of a gallon of paint and they were divided into 4 containers, we have to divide 2/3 by 4 and when you do that you get 0.16666 continuous but in fraction for you arrive at 1/6 of a gallon of paint

Answer:

25

Step-by-step explanation:

Answer:

25

Step by step explanation:

Hey

Answer:

4x+5y=8

Step-by-step explanation:

Find the slope first then

Use the slope intercept form to get the formula

Then rearrange it to find this answer

(I didnt write all the steps as they would get confusing)

Based on the given situation, Max final number if his starting number is 7 is -4.5

n + 8

2(n + 8)

So,

2(n + 8) = 7

2n + 16 = 7

2b = 7 - 16

2n = -9

n = -9/2

n = -4.5

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Answer:

1

12

+

18

___

30

Step-by-step explanation:

Answer: x=5

Given:

We substitute y=0 to solve for x:

Therefore, x=5.

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

Given sequence is geometric sequence and common ratio between consecutive term is  \(\frac{1}{2}\) .

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence,     12, 6, 3, ...

  Since, common difference =  \(6-12\neq 3-6\) , this is not arithmetic sequence.

Common ratio =     \(\frac{6}{12}=\frac{3}{6}=\frac{1}{2}\)  Because common ratio is are equal. Thus, given sequence is geometric sequence.

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Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

4 inches

Step-by-step explanation:

Given that :

Amount of Rainfall in October = 14 inches

Amount of Rainfall in October = 3 1/2 times more than Rainfall during September

How much rain fell.during September :

The problem is a division problem ;

Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;

If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.

14 inches ÷ 3 1/2

14 ÷ 7/2

14 * 2 / 7

= 28 / 7

= 4 inches

Hence, the amount of Rainfall in September is 4 inches

Answer:

46

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

answer is Commutative Property

Step-by-step explanation:

Answer:D

Step-by-step explanation:Don't have one

First

\(\\ \sf\longmapsto BD^2=AD\times DC\)

\(\\ \sf\longmapsto BD^2=18^2+7^2\)

\(\\ \sf\longmapsto BD^2=324+49\)

\(\\ \sf\longmapsto BD^2=363\)

\(\\ \sf\longmapsto BD=\sqrt{363}\)

\(\\ \sf\longmapsto BD=19.2\)

Now

Using Pythagorean theorem

\(\\ \sf\longmapsto BD^2+CD^2=m^2\)

\(\\ \sf\longmapsto m^2=7^2+19.2^2\)

\(\\ \sf\longmapsto m^2=49+363\)

\(\\ \sf\longmapsto m^2=412\)

\(\\ \sf\longmapsto m=\sqrt{412}\)

\(\\ \sf\longmapsto m=20.3\)

Nearest value in options is 18

Hence option a is correct

The average rate of change between 1991 and 1996 is 40 million

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

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Answer:

10 it's right answer

Step-by-step explanation:

CORRECT ME IF IM WRONG

:)

Answer:

18

Step-by-step explanation:

We know in a square ABCD, AB=CD=BC=AD

so the perimeter of ABCD will be 4AB.

now find the AB:

A(—5/2 , 3/2) so x1=—5/2 , y1=3/2

B(—5/2 , —3) so x2=—5/2 , y2= —3

AB=

\( \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{ {(0)}^{2} + {4.5}^{2} } = 4.5\)

Now, AB=4.5 and 4AB=18

The perimeter is 18

Answer:

We can use the distance formula to find the distance between two points:

distance = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the coordinates, we get:

distance = √[(3 - (-2))² + (5 - (-5))²]

distance = √[5² + 10²]

distance = √(25 + 100)

distance = √125

distance ≈ 11.2 (rounded to the nearest tenth)

Therefore, the distance between (-2,-5) and (3, 5) is approximately 11.2 units.