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Rina8888 [55]
2 years ago
13

Given log3 4=1.262 and log3 7=1.771, what is the value of log3 (16/7)?

Mathematics
1 answer:
Alexandra [31]2 years ago
6 0

Answer:

Step-by-step explanation:

log \dfrac{a}{b}=log \ a - log \ b\\\\log \ a^{m}=m*log \ a\\\\\\log_{3} \ \dfrac{16}{7}=log_{3} \ 16 - log_{3} \ 7\\\\\\= log_{3} \ 4^{2} - log_{3} \ 7\\\\=2*log_{3} \ 4 - log_{3} \ 7\\\\= 2 * 1.262 - 1.771\\\\= 2.524 - 1.771\\\\= 0.753

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Two men ask you to guess their ages based on the following clues:
Stells [14]
Lets make x equal the the age of the younger man and y equal the age of the older man.
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x+(2x+16)=76 (solve this for x)
3x+16=76
3x=60
x=20
Then you can solve for y using the equation the equaion x+y=76 since we now know x=20.
20+y=76
y=56

Second equation is y=2x+16 (can also be written as y-2x=16)
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I hope this helps.  If anything is unclear or you just want further explanation please let me know in the comments.

6 0
3 years ago
What is the value of x?
Y_Kistochka [10]
I’m pretty sure the value is 80 because that’s a 90° angle. 90 minus that 10 leaves 80
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3 years ago
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Olin [163]

Answer:

\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x

xy^{2} + \frac{2}{3}y - 8y^{2}z

Step-by-step explanation:

We have to simplify the followings:  

1) - \frac{4}{5}x (- 2x + 4y - 5)

= - \frac{4}{5}x \times (- 2x) +  - \frac{4}{5}x \times (4y) + - \frac{4}{5}x \times (- 5)  

{By distributive property of multiplication}

= \frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x (Answer)

2) 2y^{2}( \frac{1}{2} x + \frac{2}{6}y - 4z)

= 2y^{2} \times (\frac{1}{2} x) + 2y^{2} \times ( \frac{2}{6}y) - 2y^{2} \times (4z)

{By distributive property of multiplication}

= xy^{2} + \frac{2}{3}y - 8y^{2}z (Answer)

6 0
3 years ago
The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an
Veronika [31]

Answer:

4x+8=x

Step-by-step explanation:

8 0
3 years ago
Easy question:
Delvig [45]

Answer:

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Step-by-step explanation:

let's assume the tank has a volume of x liters.

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the formula to calculate the time is:

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time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.

8 0
3 years ago
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