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2 years ago

Identify the solution set of 3 ln 4 = 2 ln x. {6} {-8, 8} {8}.

Mathematics

2 answers:

PSYCHO15rus [73]2 years ago

5 0

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

64 =

x =

x = 8

kaheart [24]2 years ago

5 0

Answer:

Option C

Step-by-step explanation:

Option C:

Option C is the correct answer.

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A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of

finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

Diameter = 18 cm

r = 18÷ 2 = 9 cm

h = 12 cm

$\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}$

= π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

$\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}$

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

$\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12$

$\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}$

6 0

1 year ago

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

irakobra [83]

The answer is:

(null hypothesis) u=2.7; Ha(alt hypothesis): u<2.7

7 0

3 years ago

Read 2 more answers

Desperately need help and an explanation so I can do it on my own later.

Mashutka [201]

Step-by-step explanation:

since the sumation of f(x) of a probability is 1

thw probability to win is o.5 and to lose is o.5 so expected value is xf(x

your expected value will b 0.5 multiply by 5 thats is 2.5 thats your expected gain

4 0

1 year ago

What's 28/42 simplified

Kryger [21]

28/42 ÷2
14/21 ÷2
2/3

28/42 in simplest form is = 2/3

8 0

3 years ago

Explain one thing you need to be careful with when writing a proportion.

ehidna [41]

For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:

75%: It's percentage

0.75: In decimal (75% are cats)

$\frac {3} {4}$ : In fraction. (There are $\frac {3} {4}$ of cats)

$3: 1$ : Using ":" to separate sample values. (For every three cats there is a dog)

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Example: $3: 1 = 3 * 2: 1 * 2 = 6: 2$

Answer:

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

7 0

2 years ago