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2 years ago

What is the speed of a horse that runs a distance of 2,592 meters in 144 seconds? ____meters

Mathematics

1 answer:

horsena [70]2 years ago

4 0

Answer: 18 meters/s

Step-by-step explanation: Divide meters by seconds to find out how many meters the horse traveled per second.

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Please help logarithms!

nlexa [21]

Given:

$\log_34\approx 1.262$

$\log_37\approx 1.771$

To find:

The value of $\log_3\left(\dfrac{4}{49}\right)$ .

Solution:

We have,

$\log_34\approx 1.262$

$\log_37\approx 1.771$

Using properties of log, we get

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349$ $\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37$ $[\log x^n=n\log x]$

Substitute $\log_34\approx 1.262$ and $\log_37\approx 1.771$ .

$\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)$

$\log_3\left(\dfrac{4}{49}\right)=1.262-3.542$

$\log_3\left(\dfrac{4}{49}\right)=-2.28$

Therefore, the value of $\log_3\left(\dfrac{4}{49}\right)$ is $-2.28$ .

5 0

2 years ago

Question 1 point

ludmilkaskok [199]

Answer:

h = 23 hours

Step-by-step explanation:

Take 143.75 and divide it by 6.25

143.75/6.25 = 23

23 is the answer

4 0

3 years ago

Read 2 more answers

Helppppppp! 15 points!

Vika [28.1K]

${\boxed{\mathcal{\purple{D.\:81}}}}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81$

<u>Note</u>:-

${a}^{m} \div {a}^{n} = {a}^{m - n}$

$\sf\red{(-)\:x\:(-)\:=\:+}$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

4 0

2 years ago

If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails

mars1129 [50]

Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

4 0

3 years ago

Read 2 more answers

What is a fraction of a fraction

Vikentia [17]

<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷ When it comes to dividing fractions, there is a rule you must now.

It's called Keep Flip Change.

I'll give you an example:

$\frac{2}{7} / \frac{4}{6}$