Let v = - [3 1] and u=[2 1]. Write v as the sum of a vector in Span{u} and a vector orthogonal to u. (2) Find the distance from v to the line through u and origin.

Answer:

first solve for x

8x=20

x=2.5

5x=17

x=3.4

then your equations

Madison: y=2.5x

Lucas: y=3.4x

then your ordered pairs

Madison: (4,10)

Lucas:(3,10.2)

then your slope

Madison-2.5

Lucas-3.4

I hope this is good enough:

Answer:

you can add 3x and 2x

Step-by-step explanation:

you can add them because they are both like terms

Answer:

yes

Step-by-step explanation:

you can combine them because they have the same base, and you can combine like terms

By eliminating values from the given the given set , it will reduce the mean and median value. Mean = 23.5 and Median = 5

According to the question, the given set of values for the calculation of mean and median is as follows:

Values: = (-6, 3, 3, 3, 3, 5, 6, 6, 8, 10)

After eliminating -6 from the given set of values:

Values: = (3, 3, 3, 3, 5, 6, 6, 8, 10)

Now the median is the middle tern from the given set of the values:

Median = 5

And mean is : 3 + 3 + 3 + 3 + 5 + 6 + 6 + 8 + 10 / 2 = 47/2 = 23.5

Hence, the correct answer is median = 5 and mean = 23.5

What is mean and median?

The mean is the average value of the given set of the data. It is the addition of all the values and later divide it by two. Similarly, median is the middle value from the set of values provided it should be arranges in the order ascending to descending.

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The percentage that is the mark-up is 152%

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

Initial value = $0.25

Final value = $0.63

The percentage mark up is then calculated as

Percentage mark up = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage mark up = (0.63 - 0.25)/0.25 * 100%

Evaluate

Percentage mark up = 152%

Hence, the percentage mark up is 152%

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Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

Ram therefore has more amount in his account at the end of the month, and the balances in their bank accounts at the end of the month are arranged in ascending order, i.e. from the smallest to the largest, as follows:

Rahul – Debits AED 200; Rohit – Credits AED 200; and Ram – Credits AED 500.

Step-by-step explanation:

In banking and finance, a credit transaction on a bank account indicates that an additional amount of money has been added to the bank account and the balance has increased. This gives a positive balance in the account

On the other hand, a debit transaction on a bank account indicates that an amount of money has been deducted or withdrawn from the bank account and the balance has therefore reduced. This gives a negative balance in the account.

Based on the above, we have:

a. Ram – Credits AED 500 on 12th May 2020

Since there is no any other credit or debit transaction during the month, this implies that Ram still has Credits AED 500 in his account at the end of the month.

The Credits AED 500 indicates that Ram has a positive balance of AED 500 in his account at the end of the month.

b. Rahul – Debits AED 700 on 12th May 2020 and Credits AED 500 on 15th May 2020.

The balance in the account of Rahul gives Debits of AED 200 as follows:

Debits AED 700 - Credits AED 500 = Debits AED 200

The Debits AED 200 indicates that Rahul has a negative balance of AED 200 in his account at the end of the month.

c. Rohit – Credits AED 700 on 12th May 2002 and Debits AED 500 on 15th May 2020.

The balance in the account of Rohit gives Credits of AED 200 as follows:

Credits AED 700 - Dedits AED 500 = Credits AED 200

The Credits AED 200 indicates that Rohit has a positive balance of AED 200 in his account at the end of the month.

Conclusion

Arrangement of numbers or amounts of money in ascending order implies that they are arranged from the smallest to the largest number or amount.

Since Credits implies positive amount and Debits implies negative amount, Ram therefore has more amount in his account at the end of the month, and the balances in their bank accounts at the end of the month are arranged in ascending order, i.e. from the smallest to the largest, as follows:

Rahul – Debits AED 200; Rohit – Credits AED 200; and Ram – Credits AED 500.

Using transformation rules, the correct option is discovered to be A'C'B', which is located at A(-1,1), C'(-3,4), and B'(-3,4) (-5,1).

The transformation rule for an x-axis reflection is (x,y) -> (x,-y)

The transformation rule for a 180° rotation is (x,y) -> (-x,-y)

Following the x-axis reflection: (x,y) -> (x,-y)

Using the reflection as a guide, rotate:. (x,-y) -> (-x, -(-y)) = (-x , y).

That is, (x,y) -> (x,y) it is not the same rule, so it will not map figure onto itself.

A(1,1), for example, would be mapped to A(-1,1), so the correct answer is:

No, A'C'B' is at A(-1,1), C'(-3,4), and B' (-5,1).

The figure in the question is attached below:

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To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)

1. Find the equation of the boundary line.

2. Choose a point (x, y) on the shaded side on the line.

3. Plug x and y, in the boundary to identity the inequality sign.

To calculate n, multiply p and q, and to calculate φ, multiply (p-1) and (q-1).

To find the values for "n" and "?" (which is likely meant to be the Euler's totient function, denoted as φ), given the primes p = 31 and q = 47, we can use the following formulas:

Calculate n:

n = p * q

n = 31 * 47

n = 1457

Calculate φ (Euler's totient function):

φ = (p - 1) * (q - 1)

φ = (31 - 1) * (47 - 1)

φ = 30 * 46

φ = 1380

Therefore, the values for n and φ are:

n = 1457

φ = 1380

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Answer:

Step-by-step explanation:

remove the parenthesis

5x+10=20

5x+10-10=20-10

5x=10

x=2

If you mean f(x) = ln(x²), then by the chain and power rules we have

\(f'(x) = \dfrac{(x^2)'}{x^2} = \dfrac{2x}{x^2} = \dfrac2x\)

If you mean f(x) = ln(x)², then the same rules give

\(f'(x) = 2 \ln(x) \left(\ln(x)\right)' = 2\ln(x) \times \dfrac1x = \dfrac{2\ln(x)}x\)

Therefore the answer is √18

The chance of the event B is 0.4 when using the probability for the two independent two event formula.

In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).

Events classified as independent do not depend on other events for their occurrence.

Event A's likelihood of happening is P(A)=0.65.

The likelihood of the two events A and B intersecting is P(A∩B)=0.26.

Given that the likelihood of the two independent events is:

P(A∩B) = P(A)⋅P(B)

Then the probability of the event B will be,

P(B) = P(A)/P(A∩B)

P(B) = 0.65/0.26

P(B) =0.4

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The first step in solving using the substitution method is making an unknown value the subject of the formula.

The substitution method is one of the methods that is used to solve simultaneous equations. It involves making one unknown value the subject of the formula.

For example, given these simultaneous equations:

a + b = 10

2a + 5b = 20

The first step is to make either a or b the subject of the formula

a = 10 - b

or

b = 10 - a

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Answer:

the 4 main types of bias in research – sampling bias, nonresponse bias, response bias, and question order bias – that are most likely to find their way into your surveys and tamper with your research results

Step-by-step explanation:

.-.

Answer:

Step-by-step explanation: well first their is int a chart but bye reading the question i think is is Beth.

i hope this helped.

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

Step-by-step explanation:

\( {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)\)

The first one can be kept in that form while the second can be factored as

\((x + 3)(x + 4)(x - 4)\)

so we can see that the LCM is

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

Answer:

b y= 3x+6 is the ans but not sure

Answer:17

Step-by-step explanation:

The cost per square inch of a circular cookie cake with a diameter of 10 inches and a cost of $15.70 is approximately $0.20, calculated by dividing the total cost by the area of the cake.

Area of Circle can be calculated using the following formula:

A = \(\pi r^2\)

where radius of the circle is r.

In this case, the diameter of the cookie cake is 10 inches, so the radius is 5 inches.

A = \(\pi r^2 = 3.14 \cdot 5^2\) = 78.5 square inches

To find the cost per square inch, we divide the total cost of the cookie cake by its area:

Per square inch cost is Total cost / Area

Per square inch cost = $15.70 / 78.5 square inches

Per square inch cost ≈ $0.20

Hence, the cookie cake will roughly cost $0.20 per square inch.

The formula for the area of a circle, A = \(\pi r^2\), is used to calculate the area of the cookie cake in square inches, where r is the radius of the circle. In this case, since the diameter of the cookie cake is given as 10 inches, we know that the radius is 5 inches.

Once we know the area of the cookie cake, we can calculate the cost per square inch by dividing the total cost by the area. This gives us an idea of how much we are paying for each unit of area, or each bite of the cookie cake.

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Answer:

The cost per square inch of a circular cookie cake with a diameter of 10 inches and a cost of $15.70 is approximately $0.20, calculated by dividing the total cost by the area of the cake.

Step-by-step explanation:

Step-by-step explanation:

The mean is the total sum of the numbers all over the amount of numbers in the question.

Mean=(2+3+4+6+x+8)÷6

NB: 6 is the number of figures available in the question

If Mean =5

5=(23+x)÷6

Multiply both side by 6

5 x 6 = 23 + x

30 = 23 + x

30 - 23 = x

7 = x

Answer:

7

Step-by-step explanation:

We can start by counting the number of values we have, which would be 6 if we count the x. Now multiply 5 by 6 and we get 30. Now we know that 2+3+4+6+x+8 is 30 and so we can subtract all the values, giving us x=7. If we substitute it back in, we get 2+8 which is 10, 4+6 which is also 10, and 7+3 which is 10 again. 10+10+10=30 and now divide 30 by 6 and we get 5; the mean. Hope this helps!

Answer:

14) 2p^2+3p+4

16) 5w^3+5w^2+5w+5

18) 3k^3-6k^2+4k-3

20) -4a^2-3ab

I hop this is right! I learned this in like 9th grade and im about to be a freshman in college!!!

Step-by-step explanation:

you combine like terms while still following the negative and positive in front of them. If there is no like term then you just bring it straight down but the order is by highest exponent.

Answer: Jessica's journey in total is 4.31 km

Step-by-step explanation:

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer: The answer to your question is: 1 quart = $2.56

Step-by-step explanation: data

3-gallon cost = $30.72

cost of 1 quart = 2.56

Rule of three

                   1 gallon ---------------  4 quarts

                   3 gallons ---------------    x

                x = 12 quarts

               12 quarts --------------- $30.72

                 1 quart ----------------    x

x = 1x 30.72 / 12 = $ 2.56

Answer:

9 weeks before he weights 228

You can "compare" the costs of services that charge hourly or weekly rates using equations with variables on both sides.

Equations with variables on both sides can be used to solve real-world problems, such as comparing the costs of services that charge hourly or weekly rates.

For example, if a car rental company charges a weekly rate of $200 plus $0.25 per mile and another company charges a weekly rate of $150 plus $0.30 per mile, you can use equations with variables on both sides to determine which company offers the better deal based on the number of miles driven.

Let x be the number of miles driven and y be the total cost, then we can write two equations for the two companies:

Company A: y = 0.25x + 200

Company B: y = 0.30x + 150

We can then solve for x by setting the two equations equal to each other:

0.25x + 200 = 0.30x + 150

0.05x = 50

x = 1000

So if the number of miles driven is less than 1000, Company A is the better deal; if it's more than 1000, Company B is the better deal. Equations with variables on both sides can be used in various real-world situations to compare costs, determine rates, and solve other practical problems.

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