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3 years ago

Express 125 = 5x as a logarithmic equation.

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

5^x = 125
5^x = 5^3
x=3

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Problem

Stels [109]

Answer:

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

$v=\frac{d}{t}$ and $t*v=d$

The distance that Hal travels when traveling with the wind is:

$(2\ hours)(v + c) = 600$ miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

$(3\ hours)(v-c) = 600$ miles

Now we solve the first equation for v

$(2)(v + c) = 600$

$2v + 2c = 600$

$2v= 600-2c$

$v= 300-c$

Now we substitute the value of v in the second equation and solve for c

$3((300-c)-c) = 600$

$3(300-2c) = 600$

$900-6c = 600$

$-6c = 600-900$

$-6c = -300$

$6c = 300$

$c = 50\ miles/h$

Then:

$v= 300-(50)$

$v= 250\ miles/h$

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

7 0

3 years ago

I'll mark brainly pls do this

lidiya [134]

Step-by-step explanation:

Verbs are read, complete, checked, work, invite. Pronouns are their, your, and them. Nouns are Classroom, Zeroes, Friday, February, friends, assignment, students, trimester. Adjectives are simple, missing.

Hope this helps! If I missed some or got some wrong, please tell me! Goodbye!

8 0

3 years ago

Read 2 more answers

The mode, the range and the mean of the following set of data are, respectively

alina1380 [7]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

Please help fasttttttt

lord [1]

Answer:

40 or 50 i cant see, is it closer in size to L or I

Step-by-step explanation:

3 0

3 years ago

A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women 18-21

Solnce55 [7]

Answer:

There were total 4 samples collected and each sample had a sample size of n = 100.

Step-by-step explanation:

We are given the following information in the question:

Collection of samples:

$1^{st}\text{ sample was done in January with a sample size n = 100}$

$2^{nd}\text{ sample was done in March with a sample size n = 100}$

$3^{rd}\text{ sample was done in June with a sample size n = 100}$

$4^{th}\text{ sample was done in September with a sample size n = 100}$

Hence, there were total 4 samples collected and each sample had a sample size of n = 100.

4 0

3 years ago