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3 years ago

There are 144 students in 8 teams for a school field day. At this rate how many students are there per team?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

Answer:

probably 18

Step-by-step explanation:

144 divided by 8 is 18

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Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45

tiny-mole [99]

Answer:

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

$log_445= \frac{In45}{In4}$

Step-by-step explanation:

From the question we are told that

$Log_445$

Generally converting log from base x to base 10 si mathematically represented as

$log_xa=log_1_0a *log_x10$

$log_xa= \frac{log_1_0a}{log_1_0x}$

Therefore

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Generally Natural logarithms $log_ex\ or\ inx$ is mathematically represented as

$log_xa= \frac{log_ea}{log_ex}$

Therefore

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

$log_445= \frac{In45}{In4}$

6 0

3 years ago

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

3 0

3 years ago

An event a will occur with probability 0.5. an event b will occur with probability 0.6. the probability that both a and b will o

KatRina [158]

<span>Conditional probability of b given a is given by dividing Probability of event b with the probability of both a and b occurring together. Hence in this case, conditional probability of b given a is 0.1 divided by 0.6. On division, the result that is obtained is 0.16.</span>

8 0

3 years ago

Tammy harvested 6 3/4 pounds of nuts from her pecan tree. If she divides the nuts into 3/4 pound bags, how many bags will she ha

Oxana [17]

Answer:

Step-by-step explanation:

You need to divide 6 3/4 by 3/4.

Change the mixed numeral into a fraction. Then divide the fractions.

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

8 0

3 years ago

This equation shows how the time required to ring up a customer is related to the number of

Akimi4 [234]

Answer:

it is x=4÷2

Step-by-step explanation:

I just known the answer who cares about the steps

5 0

2 years ago