All categories

3 years ago

A database contains 58,000 items. Items are added to the database at a rate of 2 items per minute.

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

Answer:

Your answer is

2 times per min So Function.....

f(x)=n= 2x

where n= items

x= min

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

You might be interested in

Can you help me please.

SVEN [57.7K]

Answer:

can you take a better photo?

5 0

2 years ago

Read 2 more answers

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)

frutty [35]

Answer:

cosФ = $\frac{1}{\sqrt{65}}$ , sinФ = $-\frac{8}{\sqrt{65}}$ , tanФ = -8, secФ = $\sqrt{65}$ , cscФ = $-\frac{\sqrt{65}}{8}$ , cotФ = $-\frac{1}{8}$

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = $\frac{x}{r}$
sinФ = $\frac{y}{r}$
tanФ = $\frac{y}{x}$
secФ = $\frac{r}{x}$
cscФ = $\frac{r}{y}$
cotФ = $\frac{x}{y}$

Where r = $\sqrt{x^{2}+y^{2} }$ (the length of the terminal side from the origin to point (x, y)

You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = $\sqrt{x^{2}+y^{2} }$

∵ x = 1 and y = -8

∴ r = $\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}$

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = $\frac{x}{r}$

∴ cosФ = $\frac{1}{\sqrt{65}}$

∵ sinФ = $\frac{y}{r}$

∴ sinФ = $-\frac{8}{\sqrt{65}}$

∵ tanФ = $\frac{y}{x}$

∴ tanФ = $-\frac{8}{1}$ = -8

∵ secФ = $\frac{r}{x}$

∴ secФ = $\frac{\sqrt{65}}{1}$ = $\sqrt{65}$

∵ cscФ = $\frac{r}{y}$

∴ cscФ = $-\frac{\sqrt{65}}{8}$

∵ cotФ = $\frac{x}{y}$

∴ cotФ = $-\frac{1}{8}$

8 0

2 years ago

George used the diagram below to help determine 30% of 60. Which expression could George have used?

VARVARA [1.3K]

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

6 0

2 years ago

Read 2 more answers

Which equation is correct

Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.

The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.

Then, according to the figure we have:

$Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}$

Answer:

$Sin (G) = \frac {15} {17}$

Option D

5 0

3 years ago

An Air Force plane flew to the

Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours

4 0

2 years ago