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3 years ago

Solve the equation log 6x - 3 = -4

1 answer:

8 0

$log6x-3=-4;\ D:6x > 0\to x > 0\to x\in\mathbb{R^+}\\\\log6x=-4+3\\\\log6x=-1\iff10^{-1}=6x\\\\6x=\frac{1}{10}\ \ \ /:6\\\\x=\frac{1}{60}\in D$

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The density curve represents the time, in hours, that

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Answer:

In the picture below

Step-by-step explanation:

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3 years ago

Find the constant of proportionality if y is directly related to x when y = 12 and x = 6

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Please see attached picture for full solution.

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3 years ago

16. The weather report gives the temperature as 35 degrees Celsius. Find the

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Answer:

$F=95\°$

Step-by-step explanation:

we know that

$C=\frac{5}{9}(F\°-32)$

In this problem we have

$C=35\°$

substitute the given value in the formula and solve for F

$35\°=\frac{5}{9}(F\°-32)$

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3 years ago

Read 2 more answers

The ratio of the number of silver watches to the number of gold watches in a shop 2:3. Which of the following best describes the

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Answer:

For every 2 silver watches, there are 3 gold watches :)

Step-by-step explanation:

For every 2 silver watches, there are 3 gold watches :)

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3 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

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3 years ago