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9966 [12]
2 years ago
6

Are these fractions equivalent or nonequivalent? 4/9 8/18

Mathematics
2 answers:
aleksklad [387]2 years ago
7 0
Yes, these are equivalent
LuckyWell [14K]2 years ago
5 0
4/9 and 8/18 are equivalent fractions. We can also verify equivalent fractions by reducing them to their lowest terms. 2.
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The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t
pochemuha

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

b=\frac{ln(0.81)}{ln(2)} \\b=-0.304

The time it takes to produce the n-th unit is:

T_n=T_1*n^b

If T1 = 8 hours, the time required to produce the seventh unit will be:

T_n=8*7^{-0.304}\\T_n=4.428\ hours

It will take roughly 4.428 hours.

3 0
3 years ago
If log a = x and log b = y, then log (ab2) equals
mylen [45]

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

log(a)  +   log(b) \:  ⇒ \:  log(a \times b)

log( {a}^{n} )  \: ⇒ \: n log(a)

In this question, you have to seperate it out :

log(a {b}^{2} )  =  log(a)  +  log( {b}^{2} )

log( {b}^{2} )  = 2 log(b)

let \:  log(a)  = x

let log(b)  = y

log(a {b}^{2} )  =  log(a)  + 2 log(b)

log(a {b}^{2} )  = x + 2y

3 0
3 years ago
You drive 45 miles per hour. what is your speed in feet per second
Oxana [17]
You can use a calculator online.
Here's the link but I already did it for you

https://www.metric-conversions.org/speed/miles-per-hour-to-feet-per-second.htm?val=45

It's 66 ft per second.
7 0
3 years ago
Will mark brainliest
lubasha [3.4K]
1. V = r² π hV = 3² π · 10 = 90 π in³Answer: C.2. r = 18/2 = 9 yd, h = 3 ydV = 9² π · 3 = 243 π yd³3. r = 46.25 / 2 = 23.125 cmh = 18.5 cmV = 23.125² · 3.14 · 18.5 = 31,064.53 cm³4. h = 1934,  d = 1934 · 125 = 241,750 ,  r = 241.750 / 2 = 120,875 V = 120,875² · 3.14 · 1934 = = 14,610,765,625 · 3.14 · 1934 = = 88,727,673,056,875

7 0
3 years ago
1. Consider the population model dP dt = 0.2P 1 − P 135 , where P(t) is the population at time t. (a) For what values of P is th
Kryger [21]

Answer:

a

  P = 0  OR  P = 135

b

P > 0 and P < 135

OR

P > 0 and P < 135

c

Generally the carrying capacity is can be defined as the highest amount of population and environment can support for an unlimited duration or time period

d

P = 67.5

Step-by-step explanation:

From the question we are told that

The population model is \frac{dP}{dt}  =  0.2P(1 - \frac{P}{135} )

Generally at equilibrium

\frac{dP}{dt} = 0

So

0.2P = 0

=> P = 0

Or

(1 - \frac{P}{135} ) = 0

=> P = 135

Thus at equilibrium P = 0 or P = 135

Generally when the population is increasing we have that

\frac{dP}{dt} > 0

So

0.2P > 0

=> P > 0

and

(1 - \frac{P}{135} ) > 0

P < 135

Now when the first value of P i.e P< 0 for \frac{dP}{dt} > 0

P_2 > 135

So when population increasing the values of P are

P > 0 and P < 135

OR

P > 0 and P < 135

So to obtain initial values of P where the population converge to the carrying capacity as t \to [\infty]

The rate equation can be represented as

\frac{dP}{dt}  =  \frac{1}{5}P (1 - \frac{P}{135} )

So we will differentiate the equation again we have that

\frac{d^2 P}{dt^2} = \frac{(1 - \frac{P}{135} )}{5}  - \frac{P}{675}

Now as  t \to [\infty]

\frac{d^2 P}{dt^2} \to  0

So

   \frac{(1 - \frac{P}{135} )}{5}  - \frac{P}{675} = 0      

=>    \frac{(1 - \frac{P}{135} )}{5}   =  \frac{P}{675}

=> P = 67.5

5 0
3 years ago
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