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amm1812
3 years ago
13

Question 1 Which of the following is a rational number? (15./16, 121, V22

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

\sqrt{22}

Should be the answer

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The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme
kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

 = 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ A=P(1+\frac{r}{100} )^n

On substituting the values, we get

⇒ 100000=76000(1+\frac{6.2}{100} )^n

⇒ (1+0.062)^n=\frac{100}{76}

On taking log both sides, we get

⇒ n \ log_e(1.062)=log_e(\frac{100}{76} )

⇒                   n=\frac{ln(\frac{100}{76} )}{ln(1.062)}

By putting the values of log, we get

⇒                      =4.5622

or,

⇒                      =4.6

5 0
2 years ago
When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.
11Alexandr11 [23.1K]

Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

A.

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

L1 = 3 cm

T1 = 4 s

L2 = 5 cm

T2 = ?

4 = 2pi*sqrt(3/g)

g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

= 5.16 s.

B.

M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

= 5.66 s.

4 0
3 years ago
Is the equation linear or nonlinear? a+2/b=8
amid [387]
<span>nonlinear
hope this helps. </span>
5 0
2 years ago
The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th
AveGali [126]
Let \ell the length and w the width. By the ratio of the sides:

\dfrac{w}{\ell}=\dfrac{4}{7}\Longrightarrow \dfrac{w}{31.5}=\dfrac{4}{7}\Longrightarrow w=\dfrac{4\cdot31.5}{7}\Longrightarrow \boxed{w=18~in.}

Now, we'll find the perimeter p. We'll use the formula below:

p=2(\ell+w)\\\\&#10;p=2(31.5+18)\\\\&#10;p=2\cdot49.5\\\\&#10;\boxed{p=99~in.}

The area of a rectangle is S=w\cdot\ell. Then:

S=w\cdot\ell\\\\&#10;S=18\cdot31.5\\\\&#10;\boxed{S=567~in.^2}
8 0
3 years ago
Read 2 more answers
Write an explict equation of how a computer at 2500$ depricates at the rate of 14% per year​
ahrayia [7]

Answer:

V(t)  = 2500(0.86)^t  where t = the year.

Step-by-step explanation:

Each year the  value will be 100 - 14 = 86% ( - 0.86) of the previous year.

6 0
3 years ago
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