1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
2 years ago
9

Find the value of n, correct to 4 significant figures.​

Mathematics
1 answer:
Law Incorporation [45]2 years ago
7 0

Answer:

6.708

Step-by-step explanation:

  • Y varies directly as the square of x (Given)

  • \implies y\:\alpha \:x^2......(1)

  • Y varies inversely as the square root of z (Given)
  • \implies y\:\alpha\: \frac{1}{\sqrt z}......(2)

  • Combining (1) & (2), we find:

  • y\:\alpha \:\frac{x^2}{\sqrt z}

  • \implies y=\frac{kx^2}{\sqrt z} (Where k is constant of proportionality).....(3)

  • Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

  • 2=\frac{k(3)^2}{\sqrt 4}

  • \implies 2=\frac{k(9)}{2}

  • \implies k =\frac{4}{9}

  • Plugging the value of k in (3), we find:

  • y=\frac{4x^2}{9\sqrt z} ....(4)

  • Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

  • 5=\frac{4(n)^2}{9\sqrt {16}}

  • \implies 5=\frac{4(n)^2}{9(4)}

  • \implies 5=\frac{(n)^2}{9}

  • \implies 5(9)=(n)^2

  • \implies 45=(n)^2

  • \implies n=\sqrt{45}

  • \implies n=6.70820393

  • \implies n\approx 6.708
You might be interested in
I need help! Answer as fast as you can. Marking brainlyiest
grandymaker [24]

Answer:

A

Step-by-step explanation:

We can break down what each term represents in the equation

60 is the constant. This is the base price that is paid regardless of workers and hours needed

Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.

The most accurate answer is A

8 0
3 years ago
Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn
Scrat [10]
<span>Martin deposits $200 in a savings account that earns 5% annual interest.

year         interest                       balance

1              200 * 5%                    200(1.05)

2              200(1.05) * 5%          200(1.05)^2

3              200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^y

=> m = 200 (1.05)^y

four years later, cary deposits $200 in an account earning the same interest.

</span>
<span><span>year         interest                       balance

5              200 * 5%                    200(1.05)

6              200(1.05) * 5%          200(1.05)^2

7             200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)
</span>
Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)
</span>
3 0
3 years ago
Read 2 more answers
Verbalize 2(n^3+3n^2)=4n
Arada [10]

Answer:

A number cubed plus a 3 times a number squared all multiplied by 2 is equal to 4 times a number.

Step-by-step explanation:

Since we can't say "in parenthesis", we will have to say the expressions in the parenthesis first and then say "all multiplied by 2" to express parenthesis in word form. The rest are pretty straight forward.

5 0
3 years ago
jorge measured his heart rate after jogging he counted 11 beats during 6 second interval what was the unit rate of jorges heart
defon

Answer: 66

Step-by-step explanation:

11 beats in 6 seconds means you mulitiply the beats times the seconds

6 0
3 years ago
356 added to the product of 56 and an unknown number is equal to -832 what is the equation for the given statement
natima [27]
Let the unknown no. be y
eqn: 56y+356=-832
7 0
3 years ago
Read 2 more answers
Other questions:
  • Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only p
    11·1 answer
  • If a diagram shows a cube sliced by a plane horizontally through the solid what is the shape of the cross-section
    11·1 answer
  • (2•6)^3 rewritten as an expression <br><br>​
    8·2 answers
  • Solve using elimination.<br> 6x + 8y = -4<br> -6x - 10y = 14
    7·2 answers
  • What is 4/10 in simplest form
    8·2 answers
  • How to solve x^2+8x+3 using the quadratic formula​
    7·1 answer
  • In the equation P = 1,000T/V, find the value of P when T = 32 and V = 800.
    13·1 answer
  • How do i do this ? find the domain + range of a graph ?
    12·1 answer
  • The quadratic equation 4x^2 + 12x + k = 0 has equal roots. Find the value of k.
    5·1 answer
  • I will mark brainlis if i can...
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!