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3 years ago

If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

<h3>Answer: 2p + 3q</h3>

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

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Determine the domain of the function in the correct set notation. f(x)=1 /2×+6

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Answer:

First one.

Step-by-step explanation:

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3 years ago

A rancher is ordering a box of cube-shaped salt licks. the edge length of each salt lick are 5/12 foot. is the volume of one sal

strojnjashka [21]

Answer:

0.0723 cubic feet < 1 cubic foot.

Step-by-step explanation:

A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is $\frac{5}{12}$ foot.

Therefore, the side length of each salt lick of cube-shape is $\frac{5}{12}$ foot.

So, the volume of each salt lick is $(\frac{5}{12} \times \frac{5}{12} \times \frac{5}{12}) = \frac{125}{1728} = 0.0723$ cubic feet.

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3 years ago

Seven friends want to play a game. They must be divided into two teams with three people in each team and one leader. In how man

fiasKO [112]

Answer:70

Step-by-step explanation:

Given

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leader can be chosen out of 7 person in $^7C_1$ ways

And 3 person out of remaining 6 persons in $^6C_3$ ways

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4 years ago

determine the radius of the cone ,if the voulime of the cone is 125 cm to the power of 3 and the height of the cone is 12cm. Rou

Salsk061 [2.6K]

For this case we have that by definition, the volume of a cone is given by:

$V = \frac {1} {3} * \pi * r ^ 2 * h$

Where:

r: It is the radius of the cone

h: It is the height of the cone

According to the statement data we have:

$h = 12 \ cm\\V = 125 \ cm ^ 3$

Substituting in the formula:

$125 = \frac {1} {3} * \pi * r ^ 2 * 12$

We cleared the radius:

$3 * 125 = \pi * r ^ 2 * 12\\\frac {3 * 125} {12 \pi} = r ^ 2\\9.9522 = r ^ 2\\r = \pm \sqrt {9.9522}$

We choose the positive value:

$r = 3.1547$

We round and we have that the radius of the cone is:

$r = 3.16 \ cm$

ANswer:

$r = 3.16 \ cm$

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3 years ago

Distribute 5(2s^2-3s+4)

Triss [41]

10s^2-15s+20 is the answer according to distributive property

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3 years ago

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