What is w = ⟨–6, 11⟩ written as a linear combination of unit vectors?w = –11i + 6j w = –6i + 11j w = 6i – 11j w = 11i – 6j

ANSWER: B

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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The statement as given is not true. For n = 1, the left side is just the first term, 1, while the right side would be 3(1) - 1 = 2, and 1 ≠ 2.

I think what you meant to write was the equation

1 + 4 + 7 + ... + (3n - 2) = 1/2 n (3n - 1)

which can be easily proved by induction.

For n = 1, we have

1 = 1/2 (1) (3(1) - 1)   →   1 = 1

which is of course true.

Now for the inductive step. Assume the equation holds for n = k, so that

1 + 4 + 7 + ... + (3k - 2) = 1/2 k (3k - 1)

and use this to show it holds for n = k + 1.

We would have

1 + 4 + 7 + ... + (3k - 2) + (3(k + 1) - 2)

which reduces to

1/2 k (3k - 1) + (3k + 1)

3/2 k² + 5/2 k + 1

1/2 (3k² + 5k + 2)

1/2 (k + 1) (3k + 2)

which is precisely what the formula gives on the right side for n = k + 1. QED

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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This is not the complete question, the complete question is:

P18-1 (LO2,3) (Allocate Transaction Price, Upfront Fees)

Tablet Tailors sells tablet PCs combined with Internet service, which permits the tablet to connect to the Internet anywhere and set up a Wi-Fi hot spot. It offers two bundles with the following terms.

1. Tablet Bundle A sells a tablet with 3 years of Internet service. The price for the tablet and a 3-year Internet connection service contract is $500. The standalone selling price of the tablet is $250 (the cost to Tablet Tailors is $175). Tablet Tailors sells the Internet access service independently for an upfront payment of $300. On January 2, 2017, Tablet Tailors signed 100 contracts, receiving a total of $50,000 in cash.

2. After 2 years of the 3-year contract, Tablet Tailors offers a modified contract and extension incentive. The extended contract services are similar to those provided in the first 2 years of the contract. Signing the extension and paying $90 (which equals the standalone selling of the revised Internet service package) extends access for 2 more years of Internet connection. Forty Tablet Bundle A customers sign up for this offer.

INSTRUCTION

a) Prepare the journal entries when the contract is signed on January 2, 2019, for the 40 extended contracts. Assume the modification does not result in a separate performance obligation.

b) Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).

Answer:

Step-by-step explanation:

(A)

Date        Particulars                               Debit                     Credit

2-Jan-19        Cash                                        3600  

                      Unearned Service Revenue                               3600

40 * 90 = 3600

services in the extended period are the same as the services that were provided in the original contract period. As they are not distinct hence the modifications will be considered as part of the original contract.

(B)

Date           Particulars                                    Debit           Credit

31-Dec-19 Unearned Service Revenue            2413  

                       Service revenue                                             2413

internet = 300, price = 550, connection service = 500

(300/550) * 500 = 273

so

Original internet service contract = 40 * 273 = 10,920

Revenue recognized in 1st two years = 10,920 * 2/3 = 7280

Remaining service at original rates = 10920 - 7280 = 3640

Extended service = 3600

3640 + 3600 = $7240  

7240 / 3 = $2413

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

10

Step-by-step explanation:

(15 x 40) / (15+40)

solve inside the parenthesis:

600/60

divide:

10

Answer:

18.5

Step-by-step explanation:

27 rounds up to 30. 53 rounds up to 50

Answer:

19.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the coordinates (30, 1) and (150, 5) to solve this. Time is always an x thing, while things like distance and weight and value are y things. Put them into the slope formula:

\(m(\frac{miles}{sec})=\frac{5-1}{150-30}=\frac{4}{120}=\frac{1}{30}\)  This translates to:

The rocket is ascending at a constant rate of 1 mile every 30 seconds; or, conversely, for every 30 seconds the rocket is flying, it is traveling 1 mile.

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Answer:

a

Step-by-step explanation:

Answer:

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

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Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Answer:

  substitution property

Step-by-step explanation:

When you replace m∠A in the second equation with its equal, as defined by the first equation, you are making use of the substitution property.

That property says you can replace anything by its equal.

Answer:

subsitution

Step-by-step explanation:

i jus took the quiz

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

  H.  99 ft²

Step-by-step explanation:

Area is proportional to the number of tiles.

The total area of the bathroom is 6×9 = 54 tiles. Of these, 12 are shaded. The proportion can be written as ...

  total area / shaded area = total tiles / shaded tiles

  total area / (22 ft²) = 54/12 . . . . . use given numbers

  total area = (22 ft²)×(54/12) = 99 ft² . . . . . multiply by 22 ft²

The total floor area of the bathroom is 99 square feet.

The missing values in the ratio table are 20, 2, and 25/3 respectively. Also, the equivalent ratio are 20:12, 10/3:2, and 25/3:5 respectively.

Ratio can be defined as a mathematical expression that is typically used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Next, we would determine the missing values in the ratio table as follows:

x/12 = 5/3

Cross-multiplying, we have:

3x = 60

x = 60/3

x = 20.

Therefore, equivalent ratio A = 20:12.

For ratio B, we have:

(10/3)/y = 5/3

10/3y = 5/3

30 = 15y

y = 30/15

y = 2

Therefore, equivalent ratio B = 10/3:2

For ratio C, we have:

z/5 = 5/3

3z = 25

z = 25/3

Therefore, equivalent ratio C = 25/3:5.

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The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

x = 18

y = 54

Step-by-step explanation:

90 - 72 = 18

18 + 2x = 3x

18 = x

2(18) = 36

3(18) = 54

72 + y + 54 = 180

126 + y = 180

y = 54

Answer:

54

Step-by-step explanation:

Answer:

8×8=64

Step-by-step explanation:

there is a total of 64 so it should equal 64. With 8 rows the only solution for the eqal amount of people would be 8. so 8×8=64

Answer:

The two numbers are 8&5

Step-by-step explanation:

13 = x + y

y = x-3

13 = x+(x-3)

13=2x-3

16=2x

x=8

y=1(8)-3

y=5

Step-by-step explanation: in the picture

please give me a brainliest answer

The probability that a randomly selected part is defective is given as follows:

6.6%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

Hence the probability that a randomly selected part is defective is given as follows:

p = 1287/19500 = 0.066 = 6.6%.

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Answer:

250= 1.50x + 20

Step-by-step explanation:

here 250 is the goal. 1.50 is how much she makes for a cup and x is the number of times to get x much. with how much her parents gave is 20. so we add the money her parents give and 1.50 times x to know the money shegets from all the lemonade selling.  graphing the equation but I cant do it on here

God Bless :>

Answer:

a. y = c1.50 + 20

b. She would have to sell 167 cups to earn $250.50

c. im not sure on that sorryyyy

Answer:

0.750

Step-by-step explanation:

Yellow sections: section 2 and section 3

Number of yellow sections: 2

Number of non yellow sections: 6

Total sections: 8

p(not yellow) = 6/8 = 0.75

Answer:

0.750

Step-by-step explanation:

you take a quarter and then you divide and think