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OlgaM077 [116]
3 years ago
13

Evaluate: log1255a.1/3b.1/2c. 2/3​

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0

\log_{125}(5)=\log_{5^3}(5)=\dfrac{1}{3}\log_5(5)=\dfrac{1}{3}\cdot1=\boxed{\dfrac{1}{3}}

Hope this helps.

r3t40

AleksandrR [38]3 years ago
3 0

Answer:

\frac{1}{3}

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

let log_{125} 5 = n, then

5 = 125^{n}

note that 125 = 5³ ⇒ (5^3) ^{n} = 5^{3n}

Since bases are equal ( both 5) equate the exponents

3n = 1 ( divide both sides by 3 )

n = \frac{1}{3}

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Simplify:<br> {[(16 ÷ 4) × (2 × 6)] ÷ 6} + 4 =
borishaifa [10]

Answer:

12

Step-by-step explanation:

divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.

4 0
3 years ago
How do I find the volume of this?​
lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0
3 years ago
Please can someone answer this.
ivanzaharov [21]

Answer:

  •  x = -4, x = 0, x = 1

Step-by-step explanation:

x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)

The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)

Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.

___

Of course, your graphing calculator can answer this almost as quickly.

7 0
3 years ago
What is an equation of the line through (0,-3) with slope 2\5
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use y= mx+c ,   find c first.
-3 = (2/5) 0 + c
c = -3
Thus the equation will be y=(2/5)x - 3.
or in some case,
(y1-y)=m(x1-x)
(-3-y)=(2/5)(0-x)



7 0
3 years ago
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and one king
NeX [460]
There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.
8 0
3 years ago
Read 2 more answers
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