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Lilit [14]
3 years ago
7

Evaluate the expression without using a calculator: log10^3x-2y

Mathematics
2 answers:
kykrilka [37]3 years ago
4 0

Answer:

\huge\boxed{\log10^{3x-2y}=3x-2y}

Step-by-step explanation:

\text{Use}\\\\(1)\log x=\log_{10}x\qquad(x>0)\\\\(2)\log_ab^n=n\log_ab\qquad(a>0;\ a\neq1;\ b>0)\\\\(3)\log_aa=1\qquad(a>0;\ a\neq1)\\\\\log10^{3x-2y}=\underbrace{(3x-2y)\log10}_{(2)}=\underbrace{(3x-2y)\log_{10}10}_{(1)}=\underbrace{(3x-2y)(1)}_{(3)}=3x-2y

Kruka [31]3 years ago
3 0

Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

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Which number is composite?<br> 31<br> 43<br> 37<br> 49
Alina [70]

A composite number is one that can be made by multiply two numbers to each other. Since 49=7*7, 49 is a composite number.

Check:

You can check a multiplication chart, but you will see that 49 is the only one that can be multiplied by 2 numbers

4 0
3 years ago
The swimming pool shown below has a 6 foot wide concrete deck around it.
padilas [110]

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

7 0
2 years ago
If ∠a = 90°, find the measures of ∠b, ∠c and ∠d.
nydimaria [60]

Answer:

m∠b = 35°

m∠c = 145°

m∠ d = 35°

Step-by-step explanation:

To find m∠b, we use Definition of Supplementary Angles:

180 - (90 + 55) = 35°

To find m∠c, we also use Definition of Supplementary Angles:

180 - 35 = 145°

To find m∠d, we use Vertical Angles Theorem:

m∠b = m∠d = 35°

5 0
3 years ago
Read 2 more answers
I need help with this!?!
AlekseyPX
Some of the important "given" information is outside of the photo.
We need to know that the two triangles are similar.
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7 0
3 years ago
In Still Water, Peters Boat Goes 4 Times as Fast as the Current of the River. He Took a Trip 15 Miles Up the River, Then Came Ba
inn [45]

Answer:

2 km/h

Step-by-step explanation:

Let

Rate of river current = x km/h

Speed of Peter's boat = 4x km/h

He takes 15 km trip up (opposite direction)

His speed upstream = 4x - x

= 3x

His speed is 3x and distance is 15 km

Time = Distance / Speed

15/3x

= 5/x

And

Moving downstream (same direction)

Speed will be 4x + x = 5x

Distance = 15km,

speed = 5x

Time = Distance / Speed

= 15/5x

= 3/x

Total time take for trip = 4 hours

Total time take for trip = upstream + downstream

4 =5/x + 3/x

4 = 8/x

Cross product

4 * x = 8

x = 8/4

x = 2

Rate of river current = x km/h

= 2 km/h

3 0
3 years ago
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