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2 years ago

Suppose that 10 < n < 11. A possible value for n is

1 answer:

8 0

★ Inequalities ★

$10 < n < 11 \\$
or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean

$n = \frac{10 + 11}{2} = 10.5$
Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY

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In three to five sentences, explain the importance of sentence structures in good writing.

jenyasd209 [6]

Answer:

Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly

Step-by-step explanation:

Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea on its own.

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2 years ago

The mass of a tiger at a zoo is 235 kilograms. Randy's cat has a mass of 5,000 grams. How many times greater is the mass of tige

ANTONII [103]

Solutions

We know that the mass of a tiger at a zoo is 235 kilograms. Randy's cat has a mass of 5,000 grams. To solve the problem we have to convert 235 kilograms into grams.

235 kilograms = 235000 grams

Randy's cat has a mass of 5,000 grams

Randy's cat = 5,000 grams

Tiger = 235000 grams

Our next step is to subtract 5000 from 235000 grams

235000 grams - 5000 grams = 230000

Answer = 230000 grams

6 0

2 years ago

Read 2 more answers

What is the completely factored form of x3-64?

nataly862011 [7]

a^3 - b^3 = (a - b) (a^2 + ab + b^2)
so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)

hope it helps

7 0

2 years ago

Read 2 more answers

What is (1/4) / (6/7) Please don’t just tell me the answer, please review the steps.

lbvjy [14]

Answer:

7/24 Is The Answer!

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

1/4 Divided by 6/7 = 1/4 ₓ 7/6

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

1/4 times 7/6 = 7/24

The result Is

1/4 divided by 6/7 = 7/24

6 0

2 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

2 years ago