Write the recurrence relation for the nth term which is defined by multiplying the prior term by 3 and subtracting 12.

Answer:

Step-by-step explanation:

3x - 8 + 5x + 10 = 90

8x + 2 = 90

8x = 88

x = 11

3(11) - 8 = 33 - 8 = 25 for <A

5(11) + 10 = 55 + 10 = 65 for<B

The matrices C, D, F, and G are symmetric while matrix H is skew-symmetric and matrix E is non-symmetric.

A matrix is an array of elements(numbers) in a peculiar order. A matrix with m rows and n columns is said to be of order m × n.

As it is known that [tex](A + B)^t = A^t + B^t[/tex] and [tex](AB)^t = B^t A^t[/tex] for any n × n matrices A and B.

Also, if matrices A and B are symmetric, then

[tex]A^t = A[/tex] and [tex]B^t = B[/tex].

a) Given that

C = A + B

Take the transpose of matrix C,

[tex]C^t = (A + B)^t[/tex]

    [tex]= A^t + B^t \\= A + B = C[/tex].

Hence, matrix C is symmetric.

b) Given that

D = A²

Take the transpose of matrix D,

[tex]D = (A^2)^t[/tex]

   [tex]= (AA)^t \\= A^t A^t \\= AA \\= A^2 = D[/tex].

Hence, matrix D is symmetric.

c) Given that

E = AB

Let's take an example,

A = [tex]\left[\begin{array}{cc}1&2&2&1\end{array}\right][/tex] and

B = [tex]\left[\begin{array}{cc}1 &-1 &-1&2\end{array}\right][/tex]

So,

E = AB

  [tex]=\left[\begin{array}{cc}1&2&2&1\end{array}\right] \times \left[\begin{array}{cc}1 &-1 &-1&2\end{array}\right]\\= \left[\begin{array}{cc}-1&3&1&0\end{array}\right][/tex]

Clearly, matrix E is non-symmetric.

d) Given that

F = ABA

Take the transpose of matrix F,

[tex]F^t = (ABA)^t[/tex]

    [tex]= A^t B^t A^t\\ = ABA = F[/tex].

Hence, matrix F is symmetric.

e) Given that

G = AB + BA

Take the transpose of matrix G,

[tex]G^t = (AB + BA)^t[/tex]

    [tex]= (AB)^t + (BA)^t \\= B^t A^t + A^t B^t \\= BA + AB = G[/tex].

Hence, matrix G is symmetric.

f) Given that

H = AB-BA

Take the transpose of matrix H,

[tex]H^t = (AB - BA)^t[/tex]

     [tex]= (AB)^t - (BA)^t \\= B^t A^t - A^t B^t \\= BA - AB = -H[/tex].

Hence, matrix H is skew-symmetric.

Thus, the matrices C, D, F, and G are symmetric while the rest are not.

Learn more about Matrix here:

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Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Monthly fixed cost= $6,000

Variable cost per occupied room per night= $20

Revenue per occupied room per night= $75

First, we need to structure the total cost formula:

Total cost= 6,000 + 20*x

x= occupied room

Now, we can find the expression for total revenue:

Revenue= selling price per unit*units - fixed cost - unitary variable cost*units

Revenue= 75*x - 6,000 - 20*x

I assume that the 12 rooms will be occupied for the 30 days:

Revenue= 75*(12*30) - 6,000 - 20*(12*30)

Revenue= $13,800

Finally, we need to determine the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 6,000 / (75 - 20)

Break-even point in units= 109 rooms

On percentage= (109/360)*100= 30.28%

Answer:

c

Step-by-step explanation:

Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS

Step-by-step explanation:

h(x) =-x-4

h(x)=9

=>9=-x-4

=>x=-13

Answer:

We place 9 in the first expression instead of h (x)

Then we solve the equation

9=-x-4

x=-13

Answer:

A=-8b/9

Step-by-step explanation:

Answer:

x + 6 = 3

-3 + 6 = 3

Step-by-step explanation:

x + 6 = 3

x + 6 - 6 = 3 - 6

x = -3

Answer:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000

Step-by-step explanation:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000.

How this is possible.

1) all the numbers from 0-4 are not counted as the next number when rounded off.

2) all the numbers from 5-9 are counted as the next number when rounded off.

Example Suppose we have numbers from 15- 19.

These numbers can be rounded off to 20

But numbers from 10-14 would never be rounded off to 20 instead they are rounded as 10.

Same happens in the hundreds case.

If we have numbers from 450 - 499 they can be rounded as 500

And numbers from 400 - 444 cannot be rounded as 500  but the number 445 may be rounded as 450 . When we carry  5 from units place and replace it as 450 then again 450 can be rounded to 500.

Same happens with 15000  but when are rounding nearest hundred not ten.

Thus all the numbers ranging from 14,500 to 15444 would be rounded to 15000.

Answer:

737.9

Step-by-step explanation:

8 is the hundredth place in 737.88, and 8 rounds up. So, the answer is 737.9

Answer:

737.9

Step-by-step explanation:

When we round something to the nearest ___ place, we want to look to the value to the right of it.

Since we're rounding it to the nearest tenths place, we want to look at the value to the right of it - the hundredths place.

The number in the tens place will be one more if the hundredths place is 5 or greater. It will remain the same if the hundredths place is below 5.

8 is greater than 5. This means the tens place will round up to 9.

So 737.9.

Hope this helped!

Answer:

the answer is 1649

Answer:

26/36

Step-by-step explanation:

The probability of something = the amount of favourable outcomes/total possible outcomes.

The total number of dice combinations is 36 (6x6).

In this case there are more outcomes more than 5 than less than 5 so for the sake of simplicity we are going to find the number of outcomes less than 5 and then find the inverse.

There are only 10 possible dice combos which add to totals 5 or under:

1,1 1,2 2,1 1,3 3,1 1,4 4,1 2,2 2,3 and 3,2

That means there is a 10/36 probability of getting a total score less than 5 so to get the probability of getting more than 5, we just do 36/36 - 10/36 (because all probabilities add to 1)

Therefore there is a 26/36 probability that the toatals will add to greater than 5.

Alternatively you could also draw up a possibilities table and count the favourable outcomes.

Hope this helped!

Answer:

13/18.

Step-by-step explanation:

The favourable outcomes are (1,5) (1,6) (2,4) (2,5) (2,6) (3,3) (3,4) (3,5) (3,6) (4,2)(4,3) (4,4) 4,5) (4,6) 5,1) (5,2) 5,3) (5,4) (5,5) (5,6 )(6,1) to (6,6).

= total of 26.

As the total of all possible outcomes is 36 the answer is 26/36

= 13/18.

Answer:

c.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

When an exponent is outside and inside the parenthesis you need to add them to get rid of the the parenthesis.  The answer is -6 because -6*2 is -12.

Hope this helps. If you have questions put them in the comments.

Answer:-6

Step-by-step explanation:

When an exponent is outside and inside the parenthesis you need to add them to get rid of the the parenthesis. The answer is -6 because -6*2 is -12.

Answer:

the answer is 3.5

Step-by-step explanation:

1. the total is 4

2.each mug = .5 of a litre

3.jane drinks 3 mugs which=1.5

4.she drinks 1.5 litres which is 3.5 of the whole bottle

5.so the remaining will be 3.5 which is what remains after she drank 1.5 litres of the whole bottle

Answer:

$140

Step-by-step explanation:

If a package of gift cards has a total value of $1050, the total price for 2 gift cards will be 2×$1050 = $2100

If there are 15 in an average set of 2 gift cards, the average cost of the two gift cards will be expressed as;

Total price of 2gift cards/amount of card per group.

Average cost of of 2 gift cards = $2100/15

= $140

Hence the average cost of 2gift cards if there are 15 in a group is $134

Answer:

I'm not really sure but I think its 6:36

Step-by-step explanation:

12 quarters + 18 nickels + 6 dimes = 36 coins in total

6 dimes in total

6:36

Answer:

13/65 miles in 1/65 of an hour, I believe is the answer you're looking for. Hope this helped!

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 140}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1.9m + 14 = 2m}[/tex]

Move 2m to right hand side and change it's sign

Similarly, move 14 to left hand side and change it's sign

[tex] \dashrightarrow{ \sf{1.9m - 2m = - 14}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 0.1m = - 14}}[/tex]

Divide both sides by -0.1

[tex] \dashrightarrow{ \sf{ \frac{ - 0.1m} { - 0.1} = \frac{ - 14}{ - 0.1}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{m = 140}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

Given the vectors u (3,5,-8) and v (2,-5,7), they can also be written as;

u = 3i+5j-8k

v = 2i-5j+7k

To express the vector 3u - v in vector form, first let us find the vector 3u;

3u = 3(3i+5j-8k)

3u = 3(3i)+3(5j)-3(8k)

3u = 9i+15j-24k

Subtract v from the resulting vector.

Since v =  2i-5j+7k

3u - v = 9i+15j-24k - (2i-5j+7k)

3u-v = 9i+15j-24k -2i+5j-7k

collect the like terms

3u-v = 9i-2i+15j+5j-24k-7k

3u-v = 7i+20j-31k

Hence the vector 3u-v in the form v =  vi+V2j+ v3k is 7i+20j-31k

Answer:

Cardinal, Ordinal, and Nominal Numbers

Step-by-step explanation:

Answer:

A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc

Answer:

Step-by-step explanation:

Answer:

Square Root of 47 to the nearest tenth, means to calculate the square root of 47 where the answer should only have one number after the decimal point. To check that the answer is correct, use your calculator to confirm that 6.92 is about 47.

Step-by-step explanation:

Plz Mark me as brainliest

Answer:

$4000

Step-by-step explanation:

Assuming a = money invested at 9%

Assuming b = money invested at 8%

then we can form am equation from the question given

1) a + b = $10000, also

0.09a + 0.08b = $860 -> multiply by 100

2) 9a + 8b = $86000

Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have

3) 8a + 8b = $80000, now we subtract 3 from 2

9a + 8b = $86000

-8a - 8b = -$80000

a = $6000.

Then, we plug this in any of the first 2 equations, to get b

9 * $6000 + 8b = $86000

$54000 + 8b = $86000

8b = $86000 - $54000

8b = $32000

b = $32000/8

b = $4000.

Therefore, he invested $4000 at 8%

Answer:

1, 81, and 121 are correct

Step-by-step explanation:

they are the only ones that do not have a decimal when squared

1=1

81=9

121=11

Answer:

$3240 a month

Step-by-step explanation:

First, find her reduced salary:

3000(0.9)

= 2700

Then, find her salary after the raise:

2700(1.2)

= 3240

So, her salary after the raise is $3240 a month

Answer:

10

Step-by-step explanation:

Answer:

8N - 4 border tiles.

Step-by-step explanation:

There are 4 border tiles in each corner and between  the tiles there are N-2 tiles along the 4 sides.

So the number of border tiles

= 4+ 4(N - 2)

= 4 + 4N - 8

= 8N - 4.

Answer:

Hey there!

If angle one is congruent to angle two, all of the above is true.

Let me know if this helps :)