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Ann [662]
2 years ago
9

Solve log x = 3. Please help me here, thank you have a great day/night

Mathematics
1 answer:
LenaWriter [7]2 years ago
8 0

Answer:

x=1000 or 10 to the 3rd power

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Identify the constant term in this expression.
Strike441 [17]

Answer:

The constant would be A) 9

Step-by-step explanation:

The Constant in a math expression is One number that is on its own or without a varialbe

5 0
3 years ago
What is 30% of a $24.50 item
Zarrin [17]
$24.50*0.3 = $7.35
The answer is $7.35
6 0
3 years ago
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What is the simplified form of the following expression?
Amanda [17]
You have sqrt(8), sqrt(18), and sqrt(2).
You need to simplify the radicals.
sqrt(2) is already simplified.
For both sqrt(8) and sqrt(18), you need to factor out the greatest perfect square.

8 = 4 * 2
You can take the square root of 4 and put it outside the root.

18 = 9 * 2
You can take the square root of 9 and put it outside the root.

5 \sqrt{8} - \sqrt{18} -2 \sqrt{2} =

= 5 \sqrt{4 \times 2} - \sqrt{9 \times 2} -2 \sqrt{2}

= 5 \times 2\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 10\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 5\sqrt{2}
8 0
3 years ago
Read 2 more answers
The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig
natali 33 [55]

Answer:

a) the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

b) y = 28.36^0 \ C    ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

\mathbf{y = A sin (Bt -C)+D}

where A = amplitude and which can be determined via the formula:

A = \dfrac{largest \ temperature -  lowest \ temperature}{2}

A = \dfrac{29-14}{2}

A = \dfrac{15}{2}

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then \dfrac{2 \pi}{B } =365

B = \dfrac{2 \pi}{365}   ( where 365 is the time period )

The vertical shift is found by the equation D;

D =  \frac{largest \ temperature + lowest \ temperature}{2}

D = \frac{29+14}{2}

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5

From the question; when it is 7th of the year ( i.e January 7);

t =  7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5

29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5

\frac{29-21.5}{7.5}=  sin (\frac{14 \pi}{365} -C)

1=  sin (\frac{14 \pi}{365} -C)

sin^{-1}(1)=   (\frac{14 \pi}{365} -C)

\frac{\pi}{2}=   (\frac{14 \pi}{365} -C)

C=   (\frac{14 \pi}{365} -\frac{\pi}{2})

C=   (\frac{28 \pi- 365 \pi}{730} )

C=  \frac{-337 \pi}{730}

Thus; the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5

y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5

y = 7.5 *( 0.915)+ 21.5

y = 6.8689+ 21.5

y = 28.36^0 \ C    ( to two decimal places)

7 0
3 years ago
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Cecilia ordered 5 pizza for a group of friends. Each pizza had 8 slices. All but 3 slices were eaten. How many slices were eaten
UkoKoshka [18]

Answer:

37 (hope this helps :)

Step-by-step explanation:

8 slices per pizza

5 pizzas

8 * 5 = 40

40 - 3 = 37

37 slices of pizza were eaten. and 3 slices were not eaten

3 0
3 years ago
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